{
    "Scenario.codegeneration_10_0.2_eval_all.json": [
        {
            "code_list": [
                "for _ in range(int(input())):\n    s = input()\n    if s == \"abc\":\n        print(\"YES\")\n    elif s == \"acb\" or s == \"bac\" or s == \"cab\":\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if s[0] == \"a\":\n        print(\"YES\")\n    elif s[1] == \"a\":\n        print(\"YES\")\n    elif s[2] == \"a\":\n        print(\"NO\")\n    elif s[0] == \"b\":\n        print(\"YES\")\n    elif s[1] == \"b\":\n        print(\"NO\")\n    else:\n        print(\"YES\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if \"ab\" in s or \"ac\" in s:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if s == \"abc\":\n        print(\"YES\")\n    elif s == \"acb\" or s == \"bac\" or s == \"bca\" or s == \"cab\" or s == \"cba\":\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if s[0] == \"a\" and s[1] in [\"b\", \"c\"]:\n        print(\"YES\")\n    elif s[1] == \"b\" and s[2] == \"c\":\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "for _ in range(int(input())):\n    s = input()\n    if s == \"abc\":\n        print(\"YES\")\n    elif s[0] == \"a\" or s[1] == \"b\" or s[2] == \"c\":\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if \"ab\" in s or \"ac\" in s:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if s[0] == \"a\" and s[2] == \"c\":\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if \"ab\" in s or \"ac\" in s:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "t = int(input())\nfor i in range(t):\n    s = input()\n    if \"ab\" in s or \"ba\" in s:\n        print(\"YES\")\n    else:\n        print(\"NO\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def solve(n, a):\n    if 0 in a:\n        a.remove(0)\n        return int(\"\".join(map(str, a)))\n    a.sort(reverse=True)\n    if a[0] == 1:\n        return int(\"\".join(map(str, a)))\n    a[0] += 1\n    return int(\"\".join(map(str, a)))\n\n\nt = int(input())\nfor _ in range(t):\n    n = int(input())\n    a = list(map(int, input().split()))\n    print(solve(n, a))",
                "def get_max_product(arr):\n    zero_count = arr.count(0)\n    nine_count = arr.count(9)\n    if zero_count == len(arr):\n        return 0\n    if zero_count > 0:\n        return 9 * (len(arr) - 1 - zero_count)\n    if nine_count == 0:\n        return (len(arr) - 1) * 9\n    return 9 * (len(arr) - 1) + 2\n\n\nt = int(input())\nfor _ in range(t):\n    n = int(input())\n    arr = list(map(int, input().split()))\n    print(get_max_product(arr))",
                "def solve():\n    n = int(input())\n    a = list(map(int, input().split()))\n    if 0 in a:\n        a.remove(0)\n        if a:\n            print(max(a) * prod(a))\n        else:\n            print(0)\n    else:\n        print(prod(a) * 9 // (1 if 9 in a else 10))\n\n\ndef prod(a):\n    p = 1\n    for i in a:\n        p *= i\n    return p\n\n\ndef main():\n    for _ in range(int(input())):\n        solve()\n\n\nmain()",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\n\ndef solve():\n    n = int(input())\n    arr = list(map(int, input().split()))\n    prod = 1\n    for i in range(n):\n        prod *= arr[i]\n    ans = 0\n    for i in range(n):\n        if arr[i] != 0:\n            arr[i] += 1\n            ans = max(ans, prod // arr[i] * arr[i])\n            arr[i] -= 1\n        else:\n            ans = max(ans, prod)\n    print(ans)\n\n\ndef main():\n    t = int(input())\n    for _ in range(t):\n        solve()\n\n\nmain()",
                "def solve(n, a):\n    zero_present = False\n    max_product = 1\n    for i in a:\n        if i == 0:\n            zero_present = True\n        max_product *= i\n    if zero_present:\n        return max_product - 1\n    max_digit = max(a)\n    return max_product * (max_digit + 1)\n\n\nt = int(input())\nfor _ in range(t):\n    n = int(input())\n    a = list(map(int, input().split()))\n    print(solve(n, a))",
                "def main():\n    t = int(input())\n    for _ in range(t):\n        n = int(input())\n        a = list(map(int, input().split()))\n        if 0 in a:\n            a.remove(0)\n            if a:\n                print(max(a) * prod(a))\n            else:\n                print(0)\n        else:\n            print(prod(a) * 9)\n\n\ndef prod(a):\n    p = 1\n    for i in a:\n        p *= i\n    return p\n\n\nmain()",
                "t = int(input())\nfor _ in range(t):\n    n = int(input())\n    a = list(map(int, input().split()))\n    if 0 in a:\n        a.remove(0)\n        if a:\n            print(max(a) * (n - 1))\n        else:\n            print(0)\n    else:\n        print(max(a) * n)",
                "def solve():\n    n = int(input())\n    a = list(map(int, input().split()))\n    z = a.count(0)\n    if z == n:\n        return 0\n    if z == 0:\n        return max(a) * (n - 1) + 1\n    else:\n        return max(a) * (n - z - 1) + 1\n\n\ndef main():\n    t = int(input())\n    for _ in range(t):\n        print(solve())\n\n\nmain()",
                "def solve(n, a):\n    if 0 in a:\n        a.remove(0)\n        return int(\"\".join(map(str, a)))\n    a.sort(reverse=True)\n    if a[0] == 1:\n        return int(\"\".join(map(str, a)))\n    if a[0] == 2:\n        return int(\"\".join(map(str, a))) * 2\n    return int(\"\".join(map(str, a))) * (a[0] - 1)\n\n\nt = int(input())\nfor _ in range(t):\n    n = int(input())\n    a = list(map(int, input().split()))\n    print(solve(n, a))",
                "t = int(input())\nfor _ in range(t):\n    n = int(input())\n    a = list(map(int, input().split()))\n    if 0 in a:\n        a.remove(0)\n        a.append(1)\n    a.sort(reverse=True)\n    if a[0] == 1:\n        a[1] += 1\n    else:\n        a[0] += 1\n    print(int(\"\".join(map(str, a))))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input().strip()\n    (cnt, ans) = (0, 0)\n    for i in range(n):\n        if s[i] == \"B\":\n            cnt += 1\n        else:\n            if cnt >= k:\n                ans += cnt // k\n                cnt = cnt % k\n            else:\n                ans += 1\n                cnt = 0\n    if cnt >= k:\n        ans += cnt // k\n        cnt = cnt % k\n    if cnt != 0:\n        ans += 1\n    print(ans)",
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input().strip()\n    (cnt, ans) = (0, 0)\n    for i in range(n):\n        if s[i] == \"B\":\n            cnt += 1\n        else:\n            if cnt >= k:\n                ans += cnt // k\n                cnt = 0\n    if cnt >= k:\n        ans += cnt // k\n        cnt = 0\n    print(ans + (1 if cnt else 0))",
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    (b, w) = (s.count(\"B\"), s.count(\"W\"))\n    if w == n:\n        print(0)\n    else:\n        print((b + k - 1) // k)",
                "from sys import stdin\n\ninput = stdin.readline\n\n\ndef solve():\n    n, k = map(int, input().split())\n    s = input()\n    b = s.count(\"B\")\n    if not b:\n        return 0\n    if k >= n:\n        return 1\n    ans = b // k\n    s = s.replace(\"W\", \"\")\n    for i in range(k):\n        if s[i:].count(\"B\") == 0:\n            ans += 1\n            break\n    return ans\n\n\nt = int(input())\nfor _ in range(t):\n    print(solve())",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input().strip()\n    (b, w) = (s.count(\"B\"), s.count(\"W\"))\n    if not b:\n        print(0)\n        continue\n    if k >= n:\n        print(1)\n        continue\n    if k == 1:\n        print(b)\n        continue\n    ans = b // k\n    s = s.replace(\"W\", \"\")\n    for i in range(k):\n        if s[i] == \"B\":\n            ans += 1\n    print(ans)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\n\ndef solve():\n    n, k = map(int, input().split())\n    s = input().strip()\n    cnt = s.count(\"B\")\n    if not cnt:\n        return 0\n    if k >= n:\n        return 1\n    ans = float(\"inf\")\n    for i in range(k, n + 1):\n        ans = min(ans, (i - 1) // k + cnt - (i - 1) // k * (i - 1) // k)\n    return ans\n\n\nfor _ in range(int(input())):\n    stdout.write(f\"{solve()}\\n\")",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    (b, w) = (s.count(\"B\"), s.count(\"W\"))\n    if w >= b:\n        print(0)\n    else:\n        print((b - w) // (k - 1) + 1)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    (b, w) = (s.count(\"B\"), s.count(\"W\"))\n    if not b:\n        print(0)\n    else:\n        print((w + b - 1) // k)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    (b, w) = (s.count(\"B\"), s.count(\"W\"))\n    if w == n:\n        print(0)\n    else:\n        print((b + k - 1) // k)",
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    (b, w) = (s.count(\"B\"), s.count(\"W\"))\n    if w == n:\n        print(0)\n    elif k == 1:\n        print(b)\n    else:\n        ans = b // k\n        s = b % k\n        if s != 0:\n            ans += 1\n            w -= k - s\n        if w < 0:\n            ans += -w // k\n            if w % k != 0:\n                ans += 1\n        print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    c = Counter(s)\n    odd = 0\n    for i in c:\n        if c[i] % 2 != 0:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    c = Counter(s)\n    odd = 0\n    for i in c:\n        if c[i] % 2 != 0:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    d = Counter(s)\n    odd = 0\n    for i in d:\n        if d[i] % 2:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    d = Counter(s)\n    odd = 0\n    for i in d:\n        if d[i] % 2:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    d = Counter(s)\n    odd = 0\n    for i in d:\n        if d[i] % 2 != 0:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    count = Counter(s)\n    odd = 0\n    for i in count:\n        if count[i] % 2:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    c = Counter(s)\n    odd = 0\n    for i in c:\n        if c[i] % 2:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    c = Counter(s)\n    odd = 0\n    for i in c:\n        if c[i] % 2 != 0:\n            odd += 1\n    if odd <= k and odd - k % 2 == 0:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    d = Counter(s)\n    odd = 0\n    for i in d:\n        if d[i] % 2:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    (n, k) = map(int, input().split())\n    s = input()\n    c = Counter(s)\n    odd = 0\n    for i in c:\n        if c[i] % 2 != 0:\n            odd += 1\n    if odd <= k and k <= n - odd:\n        print(\"YES\")\n    else:\n        print(\"NO\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        c = 0\n        for i in a:\n            if i % 2 == 0:\n                c += 1\n        print(n - c)\n    elif k == 3:\n        c = 0\n        for i in a:\n            if i % 3 == 0:\n                c += 1\n        print(c)\n    elif k == 4:\n        c = 0\n        for i in a:\n            if i % 4 == 0:\n                c += 1\n            elif i % 2 == 0:\n                c += 2\n        print(c)\n    else:\n        c = 0\n        for i in a:\n            if i % 5 == 0:\n                c += 1\n            elif i % 2 == 0:\n                c += 4\n        print(c)",
                "from sys import stdin\n\ninput = stdin.readline\nt = int(input())\nfor _ in range(t):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        ans = 0\n        for i in a:\n            if i % 2 == 0:\n                ans += 1\n        print(n - ans)\n    elif k == 3:\n        ans = 0\n        for i in a:\n            if i % 3 == 0:\n                ans += 1\n        print(ans)\n    elif k == 4:\n        ans = 0\n        for i in a:\n            if i % 4 == 0:\n                ans += 1\n            elif i % 2 == 0:\n                ans += 2\n        print(ans)\n    else:\n        ans = 0\n        for i in a:\n            if i % 5 == 0:\n                ans += 1\n            elif i % 2 == 0:\n                ans += 3\n        print(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        c = 0\n        for i in a:\n            if i % 2 == 0:\n                c += 1\n        print(n - c)\n    elif k == 3:\n        c = 0\n        for i in a:\n            if i % 3 == 0:\n                c += 1\n        print(n - c)\n    elif k == 4:\n        c = 0\n        for i in a:\n            if i % 2 == 0 and i % 4 != 0:\n                c += 1\n        print(c)\n    elif k == 5:\n        c = 0\n        for i in a:\n            if i % 5 != 0:\n                c += 1\n        print(c)",
                "from sys import stdin\nfrom collections import Counter\n\ninput = stdin.readline\nt = int(input())\nfor _ in range(t):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    if k == 2:\n        ans = 0\n        if c[2] > 0:\n            ans += 1\n            c[2] -= 1\n        odd = 0\n        for i in range(1, 11):\n            if i % 2 == 1:\n                odd += c[i]\n        if odd % 2 == 1:\n            ans += 1\n        print(ans)\n    elif k == 3:\n        ans = 0\n        if c[3] > 0:\n            ans += 1\n            c[3] -= 1\n        if c[6] > 0:\n            ans += 1\n            c[6] -= 1\n        if c[9] > 0:\n            ans += 1\n            c[9] -= 1\n        rem = 0\n        for i in range(1, 11):\n            if i % 3 == 0:\n                rem += c[i]\n        if rem % 3 == 0:\n            print(ans)\n        else:\n            print(ans + 1)\n    elif k == 4:\n        ans = 0\n        if c[4] > 0:\n            ans += 1\n            c[4] -= 1\n        if c[8] > 0:\n            ans += 1\n            c[8] -= 1\n        if c[2] > 1:\n            ans += 2\n            c[2] -= 2\n        elif c[2] == 1:\n            ans += 1\n            c[2] -= 1\n        rem = 0\n        for i in range(1, 11):\n            if i % 4 == 0:\n                rem += c[i]\n        if rem % 2 == 0:\n            print(ans)\n        else:\n            print(ans + 1)\n    else:\n        ans = 0\n        if c[5] > 0:\n            ans += 1\n            c[5] -= 1\n        if c[10] > 0:\n            ans += 1\n            c[10] -= 1\n        if c[2] > 1:\n            ans += 3\n            c[2] -= 2\n        elif c[2] == 1:\n            ans += 1\n            c[2] -= 1\n        rem = 0\n        for i in range(1, 11):\n            if i % 5 == 0:\n                rem += c[i]\n        if rem % 5 == 0:\n            print(ans)\n        else:\n            print(ans + 1)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    arr = list(map(int, input().split()))\n    if k == 2:\n        cnt = 0\n        for i in arr:\n            if i % 2 == 0:\n                cnt += 1\n        print(n - cnt)\n    elif k == 3:\n        cnt = 0\n        for i in arr:\n            if i % 3 == 0:\n                cnt += 1\n        print(n - cnt)\n    elif k == 4:\n        cnt = 0\n        for i in arr:\n            if i % 4 == 0:\n                cnt += 1\n            elif i % 2 == 0:\n                cnt += 2\n        print(n - cnt)\n    else:\n        cnt = 0\n        for i in arr:\n            if i % 5 == 0:\n                cnt += 1\n            elif i % 2 == 0:\n                cnt += 4\n        print(n - cnt)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        c = 0\n        for i in a:\n            if i % 2 == 0:\n                c += 1\n        print(n - c)\n    elif k == 3:\n        c = 0\n        for i in a:\n            if i % 3 == 0:\n                c += 1\n        print(c)\n    elif k == 4:\n        c = 0\n        for i in a:\n            if i % 4 == 0:\n                c += 1\n            elif i % 4 == 3:\n                c += 1\n        print(c)\n    else:\n        c = 0\n        for i in a:\n            if i % 5 == 0:\n                c += 1\n            elif i % 5 == 2 or i % 5 == 3:\n                c += 1\n            elif i % 5 == 4:\n                c += 2\n        print(c)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        cnt = 0\n        for i in a:\n            if i % 2:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        else:\n            print(min(cnt, n - cnt))\n    elif k == 3:\n        cnt = 0\n        for i in a:\n            if i % 3:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        else:\n            print(cnt)\n    elif k == 4:\n        cnt = 0\n        for i in a:\n            if i % 2:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        else:\n            print(cnt)\n    else:\n        cnt = 0\n        for i in a:\n            if i % 5:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        else:\n            print(cnt)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        cnt = 0\n        for i in a:\n            if i % 2:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        elif cnt == 1:\n            print(n)\n        else:\n            print(min(n, cnt // 2 * 2 + (cnt % 2) * (n - cnt // 2)))\n    elif k == 3:\n        cnt = 0\n        for i in a:\n            if i % 3:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        elif cnt == 1:\n            print(n)\n        else:\n            print(min(n, cnt // 3 * 3 + (cnt % 3) * (n - cnt // 3)))\n    elif k == 4:\n        cnt = 0\n        for i in a:\n            if i % 2:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        elif cnt == 1:\n            print(n)\n        else:\n            print(min(n, cnt // 2 * 2 + (cnt % 2) * (n - cnt // 2)))\n    else:\n        cnt = 0\n        for i in a:\n            if i % 5:\n                cnt += 1\n        if cnt == 0:\n            print(0)\n        elif cnt == 1:\n            print(n)\n        else:\n            print(min(n, cnt // 5 * 5 + (cnt % 5) * (n - cnt // 5)))",
                "import sys\n\ninput = sys.stdin.readline\nfor _ in range(int(input())):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    if k == 2:\n        c = 0\n        for i in a:\n            if i % 2 == 0:\n                c += 1\n        print(n - c)\n    elif k == 3:\n        c = 0\n        for i in a:\n            if i % 3 == 0:\n                c += 1\n        print(n - c)\n    elif k == 4:\n        c = 0\n        for i in a:\n            if i % 4 == 0:\n                c += 1\n            elif i % 2 == 0:\n                c += 2\n        print(n - c)\n    else:\n        c = 0\n        for i in a:\n            if i % 5 == 0:\n                c += 1\n            elif i % 2 == 0:\n                c += 4\n        print(n - c)",
                "from sys import stdin\nfrom collections import Counter\n\ninput = stdin.readline\n\nt = int(input())\nfor _ in range(t):\n    n, k = map(int, input().split())\n    a = list(map(int, input().split()))\n    cnt = Counter(a)\n    if k == 2:\n        ans = 0\n        if cnt[2] > 0:\n            ans += 1\n        elif cnt[3] > 0:\n            ans += 2\n        elif cnt[5] > 0:\n            ans += 1\n            if cnt[7] == 0:\n                ans += 1\n        elif cnt[7] > 0:\n            ans += 3\n        elif cnt[9] > 0:\n            ans += 2\n        else:\n            ans += 4\n        print(ans)\n    elif k == 3:\n        ans = 0\n        if cnt[3] > 0:\n            ans += 1\n        elif cnt[6] > 0:\n            ans += 1\n            if cnt[9] == 0:\n                ans += 1\n        elif cnt[9] > 0:\n            ans += 2\n        else:\n            ans += 3\n        print(ans)\n    elif k == 4:\n        ans = 0\n        if cnt[2] > 0:\n            ans += 1\n        elif cnt[4] > 0:\n            ans += 1\n        elif cnt[8] > 0:\n            ans += 1\n            if cnt[9] == 0:\n                ans += 1\n        elif cnt[9] > 0:\n            ans += 2\n        else:\n            ans += 3\n        print(ans)\n    else:\n        ans = 0\n        if cnt[5] > 0:\n            ans += 1\n        elif cnt[10] > 0:\n            ans += 1\n        elif cnt[9] > 0:\n            ans += 2\n        else:\n            ans += 4\n        print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1 or n % 3 == 2:\n        print(\"First\")\n    elif n % 3 == 0:\n        if n % 6 == 0:\n            print(\"Second\")\n        else:\n            print(\"First\")\n    else:\n        print(\"Second\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1:\n        print(\"Second\")\n    elif n % 3 == 2:\n        print(\"First\")\n    else:\n        print(\"First\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1 or n % 3 == 2:\n        print(\"First\")\n    elif n % 3 == 0:\n        print(\"Second\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1:\n        print(\"Second\")\n    elif n % 3 == 2:\n        print(\"First\")\n    else:\n        print(\"First\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1 or n % 3 == 2:\n        print(\"First\")\n    elif n % 3 == 0:\n        print(\"Second\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1:\n        print(\"Second\")\n    elif n % 3 == 2:\n        print(\"First\")\n    else:\n        print(\"First\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1:\n        print(\"Second\")\n    elif n % 3 == 2:\n        print(\"First\")\n    else:\n        print(\"First\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1:\n        print(\"Second\")\n    elif n % 3 == 2:\n        print(\"First\")\n    else:\n        print(\"First\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1 or n % 3 == 2:\n        print(\"First\")\n    elif n % 3 == 0:\n        print(\"Second\")",
                "t = int(input())\nfor i in range(t):\n    n = int(input())\n    if n % 3 == 1 or n % 3 == 2:\n        print(\"First\")\n    elif n % 3 == 0:\n        print(\"Second\")"
            ],
            "pass1_list": [
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from math import ceil, floor\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    a_sum = sum(a)\n    ans = 0\n    for k in range(1, n + 1):\n        if n % k != 0:\n            continue\n        a_k = [sum(a[i * k : (i + 1) * k]) for i in range(n // k)]\n        a_k_sum = sum(a_k)\n        a_k_min = min(a_k)\n        a_k_max = max(a_k)\n        ans = max(\n            ans,\n            a_k_sum - k * a_k_min + a_k_min,\n            a_k_max - a_k_sum + a_k_sum - a_k_max + k * a_k_max,\n        )\n    print(ans)",
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    s = [0] * n\n    for i in range(n):\n        s[i] = s[i - 1] + a[i] if i else a[i]\n    ans = 0\n    for i in range(1, n):\n        l = s[i - 1] - s[0]\n        r = s[-1] - s[i]\n        ans = max(ans, r - l)\n    print(ans)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\n\ndef solve():\n    n = int(input())\n    a = list(map(int, input().split()))\n    s = [0]\n    for x in a:\n        s.append(s[-1] + x)\n    ans = 0\n    for k in range(1, n + 1):\n        if n % k:\n            continue\n        cur = 0\n        for i in range(k):\n            cur += s[i + n // k] - s[i]\n        ans = max(ans, cur)\n        for i in range(k, n, k):\n            cur -= s[i + n // k] - s[i]\n            cur += s[i + n // k - 1] - s[i - 1]\n        ans = max(ans, cur)\n    print(ans)\n\n\ndef main():\n    for _ in range(int(input())):\n        solve()\n\n\nmain()",
                "from math import gcd\nfrom collections import defaultdict\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    s = [0]\n    for i in a:\n        s.append(s[-1] + i)\n    d = defaultdict(list)\n    for i in range(n):\n        d[i % (i + 1)].append(s[i + 1] - s[i])\n    ans = 0\n    for i in range(1, n):\n        if d[i]:\n            d[i].sort()\n            ans = max(ans, d[i][-1] - d[i][0])\n    print(ans)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\n\ndef solve():\n    n = int(input())\n    a = list(map(int, input().split()))\n    s = [0]\n    for x in a:\n        s.append(s[-1] + x)\n    ans = 0\n    for k in range(1, n + 1):\n        if n % k == 0:\n            b = [0] * (n // k + 1)\n            for i in range(k):\n                b[i // k] += s[i + 1] - s[i]\n            for i in range(n // k):\n                ans = max(ans, b[i + 1] - b[i])\n    print(ans)\n\n\ndef main():\n    t = int(input())\n    for _ in range(t):\n        solve()\n\n\nmain()",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    arr = list(map(int, input().split()))\n    s = sum(arr)\n    ans = 0\n    for i in range(1, n // 2 + 1):\n        if n % i == 0:\n            temp = []\n            for j in range(i):\n                temp.append(sum(arr[j * (n // i) : (j + 1) * (n // i)]))\n            ans = max(ans, max(temp) - min(temp))\n    print(ans)",
                "from sys import stdin, stdout\nfrom collections import defaultdict\n\ninput = stdin.readline\n\n\ndef solve():\n    n = int(input())\n    arr = list(map(int, input().split()))\n    s = sum(arr)\n    ans = 0\n    for i in range(1, n // 2 + 1):\n        if n % i == 0:\n            d = defaultdict(int)\n            for j in range(i):\n                d[j] = arr[j]\n            for j in range(i, n):\n                d[j % i] += arr[j]\n            m1 = max(d.values())\n            m2 = min(d.values())\n            ans = max(ans, m1 - m2)\n    print(ans)\n\n\nfor _ in range(int(input())):\n    solve()",
                "from math import ceil\nfrom collections import defaultdict\n\nfor _ in range(int(input())):\n    n = int(input())\n    arr = list(map(int, input().split()))\n    sums = defaultdict(int)\n    for i, x in enumerate(arr):\n        sums[i % (i + 1)] += x\n    ans = 0\n    for k in range(1, n + 1):\n        mn = float(\"inf\")\n        mx = float(\"-inf\")\n        for i in range(k):\n            if i * k >= n:\n                break\n            if i == 0:\n                mn = mx = sums[i * k]\n            else:\n                mn = min(mn, sums[i * k] - sums[(i - 1) * k])\n                mx = max(mx, sums[i * k] - sums[(i - 1) * k])\n        ans = max(ans, mx - mn)\n    print(ans)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    s = [0]\n    for i in a:\n        s.append(s[-1] + i)\n    ans = 0\n    for i in range(1, n // 2 + 1):\n        ans = max(ans, s[n // i] - s[(n % i) * (n // i)])\n    print(ans)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    arr = list(map(int, input().split()))\n    pre = [0]\n    for i in range(n):\n        pre.append(pre[-1] + arr[i])\n    ans = 0\n    for i in range(1, n):\n        if n % i == 0:\n            temp = []\n            for j in range(i):\n                temp.append(pre[j * (n // i)] - pre[(j - 1) * (n // i)])\n            ans = max(ans, max(temp) - min(temp))\n    print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1] + a[i]) if a[i] % 2 == 1 else -float(\n            \"inf\")\n        dp_even[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1] + a[i]) if a[i] % 2 == 0 else -float(\n            \"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1] + a[i]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1] + a[i]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\n\ndef solve():\n    n = int(input())\n    arr = list(map(int, input().split()))\n    odd = [0]\n    even = [0]\n    for i in range(n):\n        if i % 2 == 0:\n            even.append(max(even[-1] + arr[i], odd[-1]))\n        else:\n            odd.append(max(odd[-1] + arr[i], even[-1]))\n    return max(odd[-1], even[-1])\n\n\nt = int(input())\nfor _ in range(t):\n    stdout.write(str(solve()) + \"\\n\")",
                "from sys import stdin\n\ninput = stdin.readline\n\n\ndef solve():\n    n = int(input())\n    a = list(map(int, input().split()))\n    odd = [0] * n\n    even = [0] * n\n    odd[0] = a[0] if a[0] % 2 else -float(\"inf\")\n    even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        odd[i] = max(odd[i - 1], even[i - 1]) + a[i]\n        even[i] = max(even[i - 1], odd[i - 1]) + a[i]\n    return max(odd[-1], even[-1])\n\n\nfor _ in range(int(input())):\n    print(solve())",
                "from sys import stdin\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp_odd = [0] * n\n    dp_even = [0] * n\n    dp_odd[0] = a[0] if a[0] % 2 == 1 else -float(\"inf\")\n    dp_even[0] = a[0] if a[0] % 2 == 0 else -float(\"inf\")\n    for i in range(1, n):\n        dp_odd[i] = max(dp_even[i - 1] + a[i], dp_odd[i - 1]) if a[i] % 2 == 1 else -float(\"inf\")\n        dp_even[i] = max(dp_odd[i - 1] + a[i], dp_even[i - 1]) if a[i] % 2 == 0 else -float(\"inf\")\n    print(max(dp_odd[-1], dp_even[-1]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)",
                "def gcd(a, b):\r\n    while b:\r\n        (a, b) = (b, a % b)\r\n    return a\r\n\r\n\r\ndef f(a, b):\r\n    return a == b or gcd(a, b) != 1\r\n\r\n\r\ndef main():\r\n    t = int(input())\r\n    for _ in range(t):\r\n        n = int(input())\r\n        a = list(map(int, input().split()))\r\n        ans = 0\r\n        for i in range(n):\r\n            for j in range(i + 1, n):\r\n                if f(a[i], a[j]):\r\n                    ans += 1\r\n        print(ans)\r\n\r\n\r\nmain()\r",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        if i == 0:\n            ans += c[i] * (c[i] - 1) // 2\n        elif i == 1:\n            ans += c[i] * (c[i] - 1)\n        else:\n            ans += c[i] * (c[2 * i] + c[i // 2])\n    print(ans)",
                "def gcd(a, b):\r\n    if b == 0:\r\n        return a\r\n    return gcd(b, a % b)\r\n\r\n\r\ndef solve(n, a):\r\n    d = {}\r\n    for i in a:\r\n        if i in d:\r\n            d[i] += 1\r\n        else:\r\n            d[i] = 1\r\n    ans = 0\r\n    for i in d:\r\n        ans += d[i] * (d[i] - 1) // 2\r\n    return ans\r\n\r\n\r\nt = int(input())\r\nfor _ in range(t):\r\n    n = int(input())\r\n    a = list(map(int, input().split()))\r\n    print(solve(n, a))\r",
                "from collections import Counter\n\nfor _ in range(int(input())):\n    n = int(input())\n    a = list(map(int, input().split()))\n    c = Counter(a)\n    ans = 0\n    for i in c:\n        ans += c[i] * (c[i] - 1) // 2\n    print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count",
                "class Solution:\n    def countSeniors(self, details: List[str]) -> int:\n        count = 0\n        for detail in details:\n            age = int(detail[11:13])\n            if age > 60:\n                count += 1\n        return count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            score += max_num\n            for row in nums:\n                row.pop()\n        return score",
                "class Solution:\n    def matrixSum(self, nums: List[List[int]]) -> int:\n        score = 0\n        while nums:\n            max_num = max(row[-1] for row in nums)\n            for row in nums:\n                row.pop()\n            score += max_num\n        return score"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def calc(x, k):\n            for _ in range(k):\n                x = x * 2\n            return x\n\n        nums.sort(key=lambda x: calc(x, k), reverse=True)\n        res = 0\n        for i in range(len(nums)):\n            res |= nums[i]\n            k -= 1\n            if k < 0:\n                break\n        return res",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def calculate_max_or(nums, k):\n            max_or = 0\n            for num in nums:\n                max_or |= num\n            return max_or\n\n        def apply_operation(nums, index, k):\n            if k > 0:\n                nums[index] *= 2\n                k -= 1\n            return nums, k\n\n        def backtrack(nums, k, max_or):\n            if k == 0:\n                return max_or\n            max_or = 0\n            for i in range(len(nums)):\n                nums, k = apply_operation(nums, i, k)\n                max_or = max(max_or, backtrack(nums, k, calculate_max_or(nums, 0)))\n                nums, k = apply_operation(nums, i, k + 1)\n            return max_or\n\n        return backtrack(nums, k, 0)",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def count_zeros(num):\n            cnt = 0\n            while num % 2 == 0:\n                cnt += 1\n                num //= 2\n            return cnt\n\n        nums.sort(key=count_zeros, reverse=True)\n        result = 0\n        for num in nums:\n            result |= num\n            if count_zeros(result) >= k:\n                break\n            k -= count_zeros(num)\n        return result",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def calc(x, k):\n            for _ in range(k):\n                x = x * 2\n            return x\n\n        nums.sort(key=lambda x: calc(x, k), reverse=True)\n        res = 0\n        for num in nums:\n            res |= num\n        return res",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def calc(x, k):\n            cnt = 0\n            while k > 0 and x % 2 == 0:\n                x *= 2\n                k -= 1\n                cnt += 1\n            return x, cnt\n\n        n = len(nums)\n        if k >= n:\n            res = 0\n            for num in nums:\n                res |= num\n                while k > 0 and res % 2 == 0:\n                    res *= 2\n                    k -= 1\n            return res\n\n        nums.sort(reverse=True)\n        res = 0\n        for i in range(n):\n            x, cnt = calc(nums[i], k)\n            res |= x\n            k -= cnt\n            if k == 0:\n                break\n        return res",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def count_zeros(num):\n            return num.bit_length() - 1\n\n        max_or = 0\n        for num in nums:\n            max_or |= num\n\n        for num in nums:\n            zeros = count_zeros(num)\n            if zeros <= k:\n                max_or |= 1 << k - zeros\n\n        return max_or",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def count_zeros(num):\n            count = 0\n            while num & 1 == 0:\n                count += 1\n                num >>= 1\n            return count\n\n        nums.sort(key=count_zeros, reverse=True)\n\n        result = 0\n        for num in nums:\n            result |= num\n            if count_zeros(num) <= k:\n                break\n\n        return result << max(0, k - count_zeros(result))",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def calc(target, num):\n            count = 0\n            while num < target:\n                num *= 2\n                count += 1\n            return count\n\n        nums.sort(reverse=True)\n        target = 0\n        for num in nums:\n            target |= num\n            if k >= calc(target, num):\n                target = (target - num) | (num * 2)\n                k -= calc(target, num)\n            if k == 0:\n                break\n        return target",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def calculate_max_or(nums, k):\n            n = len(nums)\n            # Initialize max_or with the bitwise OR of the first k+1 elements\n            max_or = 0\n            for i in range(min(k+1, n)):\n                max_or |= nums[i]\n\n            # Iterate through the remaining elements\n            for i in range(k+1, n):\n                # If the current element has a higher bit than max_or, we must include it\n                if nums[i] > max_or:\n                    max_or = (max_or << 1) | nums[i]\n                # Otherwise, we can double the current max_or k times\n                else:\n                    max_or <<= k\n            return max_or\n\n        # Sort the array in descending order\n        nums.sort(reverse=True)\n        # Initialize max_or with the value when no operations are applied\n        max_or = calculate_max_or(nums, 0)\n        # Apply operations and update max_or\n        for i in range(1, min(k, len(nums)) + 1):\n            max_or = max(max_or, calculate_max_or(nums, i))\n        return max_or",
                "class Solution:\n    def maximumOr(self, nums: List[int], k: int) -> int:\n        def count_zeros(num):\n            return num.bit_length() - 1\n\n        max_or = 0\n        zeros_needed = k\n\n        for num in nums:\n            zeros = count_zeros(num)\n            if zeros <= zeros_needed:\n                max_or |= 1 << zeros\n                zeros_needed -= zeros\n\n        return max_or"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        pos = [num for num in nums if num > 0]\n        neg = [num for num in nums if num < 0]\n        if not pos:\n            return max(nums)\n        if not neg:\n            return max(nums) * len(nums)\n        ans = 0\n        for i in range(len(neg) + 1):\n            for j in range(len(pos) + 1):\n                if i + j == 0:\n                    continue\n                ans = max(ans, max(neg[-i:] if i else [0]) * max(pos[-j:] if j else [0]) * i * j)\n        return ans",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        from itertools import product\n\n        all_subsets = list(product([-1, 1], repeat=len(nums)))\n        max_strength = 0\n        for subset in all_subsets:\n            strength = 1\n            for index, sign in enumerate(subset):\n                strength *= nums[index] * sign\n            max_strength = max(max_strength, abs(strength))\n\n        return max_strength",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        from itertools import product\n\n        all_subsets = list(product([0, 1], repeat=len(nums)))\n        max_strength = 0\n\n        for subset in all_subsets:\n            strength = 1\n            for i, is_included in enumerate(subset):\n                if is_included:\n                    strength *= nums[i]\n            max_strength = max(max_strength, abs(strength))\n\n        return max_strength",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        from itertools import product\n\n        all_subsets = list(product([-1, 1], repeat=len(nums)))\n        strengths = [\n            abs(prod) for prod in [sum(x * y for x, y in zip(nums, subset)) for subset in all_subsets]\n        ]\n        return max(strengths)",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * (1 << n) for _ in range(n)]\n        for i in range(n):\n            dp[i][1 << i] = nums[i]\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask & (1 << i):\n                    for j in range(n):\n                        if i != j and mask & (1 << j):\n                            dp[j][mask] = max(dp[j][mask], dp[j][mask ^ (1 << i)] * nums[i])\n\n        ans = 0\n        for mask in range(1 << n):\n            ans = max(ans, abs(dp[0][mask]))\n        return ans",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        pos = [num for num in nums if num > 0]\n        neg = [num for num in nums if num < 0]\n        if not pos:\n            return max(nums)\n        if not neg:\n            return max(nums) * len(nums)\n        ans = 0\n        for i in range(len(neg) + 1):\n            for j in range(len(pos) + 1):\n                if i + j == 0:\n                    continue\n                ans = max(ans, max(neg[-i:] if i else [0]) * max(pos[-j:] if j else [0]) * i * j)\n        return ans",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        from itertools import product\n\n        all_subsets = list(product([0, 1], repeat=len(nums)))\n        max_strength = 0\n        for subset in all_subsets:\n            strength = 1\n            for index, is_included in enumerate(subset):\n                if is_included:\n                    strength *= nums[index]\n            max_strength = max(max_strength, abs(strength))\n\n        return max_strength",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (1 << n)\n        for i in range(1 << n):\n            dp[i] = float('-inf')\n\n        for i in range(n):\n            dp[1 << i] = nums[i]\n\n        for i in range(1 << n):\n            for j in range(n):\n                if dp[i] != float('-inf') and dp[i | (1 << j)] < dp[i] * nums[j]:\n                    dp[i | (1 << j)] = dp[i] * nums[j]\n\n        ans = float('-inf')\n        for i in range(1 << n):\n            ans = max(ans, dp[i])\n\n        return ans",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        pos = [num for num in nums if num > 0]\n        neg = [num for num in nums if num < 0]\n        if not pos or not neg:\n            return max(nums) ** len(nums)\n\n        dp = [[0] * (len(neg) + 1) for _ in range(len(pos) + 1)]\n        for i in range(len(pos) - 1, -1, -1):\n            for j in range(len(neg)):\n                dp[i][j] = max(dp[i][j], dp[i + 1][j], dp[i][j + 1], pos[i] * neg[j])\n\n        return max(dp[0][0], max(pos) ** len(pos) * max(neg) ** len(neg))",
                "class Solution:\n    def maxStrength(self, nums: List[int]) -> int:\n        from itertools import product\n\n        all_subsets = list(product([0, 1], repeat=len(nums)))\n        max_strength = 0\n\n        for subset in all_subsets:\n            strength = 1\n            for i, is_included in enumerate(subset):\n                if is_included:\n                    strength *= nums[i]\n            max_strength = max(max_strength, abs(strength))\n\n        return max_strength"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1: i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) - 1) * (s[i] != word[0]))\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1: i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) - 1) * (s[i] != word[0]))\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1: i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) == 1))\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s) + 1):\n            for word in dictionary:\n                if i + len(word) <= len(s) and s[i:i + len(word)] == word:\n                    dp[i + len(word)] = min(dp[i + len(word)], dp[i] + 1)\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1:i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) - 1) * (s[i] != word[0]))\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1:i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) == 1))\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1: i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) - 1) * (s[i] != word[-1]))\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if word in s[i:]:\n                    j = i + len(word)\n                    dp[j] = min(dp[j], dp[i] + (j - i) - len(word))\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if s[i - len(word) + 1: i + 1] == word:\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + (len(word) - 1) * (s[i] != word[0]))\n\n        return dp[-1]",
                "class Solution:\n    def minExtraChar(self, s: str, dictionary: list[str]) -> int:\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for word in dictionary:\n                if len(word) <= i + 1:\n                    continue\n                if all(s[j] == word[k] for j, k in enumerate(range(i + 1 - len(word), i + 1))):\n                    dp[i + 1] = min(dp[i + 1], dp[i - len(word) + 1] + 1)\n\n        return dp[-1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money >= prices[i] + prices[j]:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money",
                "class Solution:\n    def buyChoco(self, prices: List[int], money: int) -> int:\n        prices.sort()\n        for i in range(len(prices)):\n            for j in range(i + 1, len(prices)):\n                if money - prices[i] - prices[j] >= 0:\n                    return money - prices[i] - prices[j]\n        return money"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for i in range(len(num1), len(num2) + 1):\n            max_digit_sum = max_digit_sum * 10 + 9\n            if i == len(num1):\n                min_digit_sum = max_digit_sum\n            else:\n                min_digit_sum = min_digit_sum * 10 + int(num1[i - len(num1)])\n        \n        count = 0\n        for i in range(len(num1), len(num2) + 1):\n            if min_sum <= min_digit_sum <= max_sum:\n                count = (count + max_digit_sum - min_digit_sum + 1) % mod\n            if min_sum <= max_digit_sum <= max_sum:\n                count = (count + 1) % mod\n            if i < len(num2):\n                max_digit_sum = max_digit_sum // 10\n                min_digit_sum = min_digit_sum // 10\n        return count",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for i in range(len(num1)):\n            max_digit = int(num2[i]) if i < len(num2) else 0\n            min_digit = int(num1[i]) if i < len(num1) else 9\n            max_digit_sum += max_digit\n            min_digit_sum += min_digit\n        \n        count = 0\n        for digit_sum in range(min_sum, max_sum + 1):\n            max_good = max_digit_sum - digit_sum\n            min_good = min_digit_sum - digit_sum\n            if max_good >= 0 and min_good <= 0:\n                count += 1\n        \n        return count % mod",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for i in range(len(num1), len(num2) + 1):\n            max_digit_sum = max_digit_sum * 10 + 9\n            if i <= len(num2):\n                min_digit_sum = min_digit_sum * 10 + int(num2[-(i + 1)])\n            else:\n                min_digit_sum = min_digit_sum * 10 + 0\n        \n        count = 0\n        for i in range(len(num1), len(num2) + 1):\n            if min_sum <= min_digit_sum <= max_sum:\n                count = (count + max_digit_sum - min_digit_sum + 1) % mod\n            if min_sum <= max_digit_sum <= max_sum:\n                count = (count + max_digit_sum - max_digit_sum + 1) % mod\n            max_digit_sum //= 10\n            if i <= len(num2):\n                min_digit_sum //= 10\n        \n        return count",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for i in range(len(num1)):\n            max_digit = int(num2[i]) if i < len(num2) else 0\n            min_digit = int(num1[i]) if i < len(num1) else 9\n            max_digit_sum += max_digit\n            min_digit_sum += min_digit\n        \n        max_count = max_digit_sum - min_sum + 1\n        min_count = min_digit_sum - min_sum + 1\n        \n        if min_count <= 0 or min_digit_sum > max_sum:\n            min_count = 0\n        if max_digit_sum > max_sum:\n            max_count = 0\n        \n        return (max_count - min_count + mod) % mod",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for digit in num1:\n            max_digit_sum += int(digit)\n        for digit in num2:\n            min_digit_sum += int(digit)\n\n        if max_digit_sum < min_sum or min_digit_sum > max_sum:\n            return 0\n\n        def calculate_sum(n):\n            sum = 0\n            for digit in n:\n                sum += int(digit)\n            return sum\n\n        def count_numbers_in_range(low, high):\n            if low > high:\n                return 0\n            if low == high:\n                return 1\n\n            mid = (low + high) // 2\n            left_sum = calculate_sum(str(mid - 1))\n            right_sum = calculate_sum(str(mid))\n\n            if left_sum < min_sum and right_sum >= min_sum:\n                offset = min_sum - right_sum\n            elif left_sum >= min_sum and right_sum < min_sum:\n                offset = min_sum - left_sum\n            else:\n                offset = 0\n\n            if right_sum > max_sum and left_sum <= max_sum:\n                offset -= right_sum - max_sum\n            elif right_sum <= max_sum and left_sum > max_sum:\n                offset -= left_sum - max_sum\n            else:\n                offset -= 0\n\n            return (count_numbers_in_range(low, mid - 1)\n                    + count_numbers_in_range(mid + 1, high)\n                    + (mid - low + 1 - offset) % mod) % mod\n\n        return count_numbers_range(int(num1), int(num2)) % mod",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for digit in num1:\n            max_digit_sum += int(digit)\n        for digit in num2:\n            min_digit_sum += int(digit)\n\n        if max_digit_sum < min_sum or min_digit_sum > max_sum:\n            return 0\n\n        max_len = len(num1)\n        min_len = len(num2)\n        if len(num1) < len(num2):\n            max_len = len(num2)\n            min_len = len(num1)\n\n        dp = [[0] * (max_sum + 1) for _ in range(max_len + 1)]\n        for i in range(min_len, max_len + 1):\n            dp[i][0] = 1\n\n        for i in range(1, max_len + 1):\n            for j in range(1, max_sum + 1):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j - 9]) % mod\n\n        result = 0\n        for i in range(min_len, max_len + 1):\n            result = (result + dp[i][max_sum] - dp[i][min_sum - 1]) % mod\n\n        return result",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for digit in num1:\n            max_digit_sum += int(digit)\n        for digit in num2:\n            min_digit_sum += int(digit)\n\n        if max_digit_sum < min_sum or min_digit_sum > max_sum:\n            return 0\n\n        max_len = len(num1)\n        min_len = len(num2)\n        if len(num1) < len(num2):\n            max_len = len(num2)\n            min_len = len(num1)\n\n        dp = [[0] * (max_sum + 1) for _ in range(max_len + 1)]\n        for i in range(min_len, max_len + 1):\n            dp[i][0] = 1\n\n        for i in range(1, max_len + 1):\n            for j in range(1, max_sum + 1):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j - 1] * 9) % mod\n                if i == 1:\n                    dp[i][j] -= int(num1[0] > str(j - 1))\n                    dp[i][j] += int(num2[0] >= str(j))\n                else:\n                    dp[i][j] -= int(num1[i - 1] > str(j - 1))\n                    dp[i][j] += int(num2[i - 1] >= str(j))\n                dp[i][j] %= mod\n\n        ans = 0\n        for j in range(min_sum, max_sum + 1):\n            ans = (ans + dp[max_len][j]) % mod\n\n        return ans",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for digit in num1:\n            max_digit_sum += int(digit)\n        for digit in num2:\n            min_digit_sum += int(digit)\n\n        if max_digit_sum < min_sum or min_digit_sum > max_sum:\n            return 0\n\n        dp = [0] * 10\n        dp[0] = 1\n        for digit in num1:\n            new_dp = [0] * 10\n            for i in range(10):\n                for j in range(10):\n                    if i + j <= 9:\n                        new_dp[i + j] += dp[i]\n                    else:\n                        carry = i + j - 9\n                        new_dp[carry] += dp[i]\n            dp = new_dp\n\n        ans = 0\n        for digit in num2:\n            ans = (ans + dp[int(digit) - '0']) % mod\n\n        return ans",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for digit in num1:\n            max_digit_sum += int(digit)\n        for digit in num2:\n            min_digit_sum += int(digit)\n\n        if max_digit_sum < min_sum or min_digit_sum > max_sum:\n            return 0\n\n        max_len = len(num1)\n        min_len = len(num2)\n        if len(num1) < len(num2):\n            max_len = len(num2)\n            min_len = len(num1)\n\n        dp = [[0] * (max_sum + 1) for _ in range(max_len + 1)]\n        dp[0][0] = 1\n\n        for i in range(1, max_len + 1):\n            for j in range(min_sum, max_sum + 1):\n                for d in range(10):\n                    if j - d >= min_sum:\n                        dp[i][j] += dp[i - 1][j - d]\n                dp[i][j] %= mod\n\n        ans = 0\n        for i in range(min_len, max_len + 1):\n            for j in range(min_sum, max_sum + 1):\n                ans += dp[i][j]\n                ans %= mod\n\n        return ans",
                "class Solution:\n    def count(self, num1: str, num2: str, min_sum: int, max_sum: int) -> int:\n        mod = 10**9 + 7\n        max_digit_sum = 0\n        min_digit_sum = 0\n        for i in range(len(num1)):\n            max_digit = int(num1[i])\n            min_digit = int(num2[i]) if i < len(num2) else 0\n            max_digit_sum += max_digit\n            min_digit_sum += min_digit\n\n        if min_digit_sum > max_sum or max_digit_sum < min_sum:\n            return 0\n\n        dp = [0] * 10\n        dp[0] = 1\n        digit_sums = [0]\n        for digit in num1:\n            for i in range(9, int(digit) - 1, -1):\n                dp[i] = 0\n            for i in range(int(digit)):\n                dp[i] = (dp[i] + dp[i - int(digit)]) % mod\n            digit_sums.append(int(digit))\n            for i in range(10):\n                digit_sums[-1] += dp[i] * i\n\n        ans = 0\n        for i in range(min_sum, max_sum + 1):\n            for j in range(len(digit_sums) - 1):\n                if digit_sums[j] == i:\n                    ans = (ans + dp[i - 1]) % mod\n                    break\n\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n        \n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n        \n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n        \n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n        \n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n        \n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n        \n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff",
                "class Solution:\n    def distinctDifferenceArray(self, nums: List[int]) -> List[int]:\n        n = len(nums)\n        diff = [0] * n\n        distinct_prefix = set()\n        distinct_suffix = set(nums)\n\n        for i in range(n):\n            distinct_suffix.remove(nums[i])\n            diff[i] = len(distinct_prefix) - len(distinct_suffix)\n            distinct_prefix.add(nums[i])\n\n        return diff"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for index, color in queries:\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        answer = [0] * len(queries)\n        count = 0\n\n        for i, query in enumerate(queries):\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer[i] = count\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        answer = [0] * len(queries)\n        count = 0\n\n        for i, query in enumerate(queries):\n            index, color = query\n            nums[index] = color\n\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n\n            answer[i] = count\n\n        return answer",
                "class Solution:\n    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:\n        nums = [0] * n\n        count = 0\n        answer = []\n\n        for query in queries:\n            index, color = query\n            nums[index] = color\n            if index > 0 and nums[index - 1] == color:\n                count += 1\n            if index < n - 1 and nums[index + 1] == color:\n                count += 1\n            answer.append(count)\n\n        return answer"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        nums.sort()\n\n        for i in range(len(nums)):\n            total_sum += (max_val**2) * nums[i]\n            total_sum %= MOD\n\n        return total_sum",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        min_val = min(nums)\n        for num in nums:\n            total_sum += num * num * (len(nums) - 1)\n            total_sum %= MOD\n        total_sum += max_val * max_val * (nums.count(min_val) - 1)\n        return total_sum % MOD",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        min_val = min(nums)\n        for num in nums:\n            total_sum += num * num * (len(nums) - 1)\n            total_sum %= MOD\n        total_sum += max_val * max_val * (len(nums) - 1) * (len(nums) - 1)\n        total_sum %= MOD\n        total_sum -= min_val * min_val\n        return total_sum % MOD",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        nums.sort()\n        ans = 0\n        n = len(nums)\n\n        for i in range(n):\n            ans = (ans + (nums[i] * nums[i] * (n - i) % MOD) * (i + 1) % MOD) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        nums.sort()\n        ans = 0\n        n = len(nums)\n\n        for i in range(n):\n            product = 1\n            for j in range(i, n):\n                product = (product * nums[j]) % MOD\n                ans = (ans + product * nums[j]) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        \n        for num in nums:\n            total_sum = (total_sum + num * max_val * max_val) % MOD\n        \n        return total_sum",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        \n        for num in nums:\n            total_sum = (total_sum + num * max_val * max_val) % MOD\n        \n        return total_sum",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        min_val = min(nums)\n        for num in nums:\n            total_sum += num * num * (len(nums) - nums.count(num)) % MOD\n            total_sum %= MOD\n        total_sum += (len(nums) * max_val * min_val * (min_val - 1)) % MOD\n        return total_sum % MOD",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        nums.sort()\n\n        for i in range(len(nums)):\n            total_sum += (max_val ** 2) * nums[i]\n            total_sum %= MOD\n\n        return total_sum",
                "class Solution:\n    def sumOfPower(self, nums: List[int]) -> int:\n        MOD = 10**9 + 7\n        total_sum = 0\n        max_val = max(nums)\n        nums.sort()\n\n        for i in range(len(nums)):\n            total_sum += (max_val**2) * nums[i] * (len(nums) - i)\n            total_sum %= MOD\n\n        return total_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        operations = 0\n        for i in range(n):\n            if nums[i] != i + 1:\n                if i + 1 == n or pos[i + 1] > pos[n]:\n                    nums[pos[n]], nums[i] = nums[i], nums[pos[n]]\n                    pos[n], pos[i + 1] = pos[i + 1], i\n                    operations += 1\n                else:\n                    nums[pos[i + 1]], nums[i] = nums[i], nums[pos[i + 1]]\n                    pos[i + 1], pos[i + 1] = i, pos[i + 1]\n                    operations += 1\n\n        return operations",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        steps = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            j = i\n            while j < n and pos[j] < pos[i - 1]:\n                j += 1\n            nums[pos[i - 1]], nums[pos[j - 1]] = nums[pos[j - 1]], nums[pos[i - 1]]\n            pos[i - 1], pos[j - 1] = pos[j - 1], pos[i - 1]\n            steps += j - i\n        return steps",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        operations = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            j = i\n            while pos[j] < pos[j - 1]:\n                j += 1\n            for k in range(j, i, -1):\n                pos[k], pos[k - 1] = pos[k - 1], pos[k]\n            operations += j - i\n        return operations",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        steps = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            j = i\n            while j + 1 <= n and pos[j] > pos[j + 1]:\n                j += 1\n            for k in range(j, i, -1):\n                pos[k], pos[k - 1] = pos[k - 1], pos[k]\n            steps += j - i + 1\n\n        if pos[n] < pos[n - 1]:\n            steps += 1\n\n        return steps",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        steps = 0\n        for i in range(1, n):\n            if nums[i - 1] < nums[i]:\n                continue\n            j = i\n            while j > 0 and nums[j - 1] > j:\n                j -= 1\n            if j != i - 1:\n                steps += i - j - 1\n                nums[j:i] = reversed(nums[j:i])\n\n        if nums[-1] == n:\n            return steps\n        else:\n            return steps + 1",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        steps = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            else:\n                steps += 1\n                j = i\n                while j < n and pos[j] < pos[i - 1]:\n                    j += 1\n                nums[pos[i - 1]], nums[pos[j - 1]] = nums[pos[j - 1]], nums[pos[i - 1]]\n                pos[i - 1], pos[j - 1] = pos[j - 1], pos[i - 1]\n\n        return steps",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        operations = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            j = i\n            while pos[j] < pos[j - 1]:\n                j += 1\n            for k in range(j, i, -1):\n                pos[k], pos[k - 1] = pos[k - 1], pos[k]\n            operations += j - i\n        return operations",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        operations = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            j = i\n            while j > 0 and pos[j] < pos[j - 1]:\n                pos[j], pos[j - 1] = pos[j - 1], pos[j]\n                operations += 1\n                j -= 1\n\n        if pos[n] > pos[n - 1]:\n            operations += 1\n\n        return operations",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        dp = [float('inf')] * n\n        dp[0] = 0\n        for i in range(1, n):\n            for j in range(i):\n                if nums[j] < i + 1:\n                    dp[i] = min(dp[i], dp[j] + abs(i - pos[i + 1]))\n                elif nums[j] > i + 1:\n                    dp[i] = min(dp[i], dp[j] + abs(i - j) + abs(i - pos[i + 1]))\n\n        return dp[n - 1]",
                "class Solution:\n    def semiOrderedPermutation(self, nums: List[int]) -> int:\n        n = len(nums)\n        pos = [0] * (n + 1)\n        for i, num in enumerate(nums):\n            pos[num] = i\n\n        operations = 0\n        for i in range(1, n):\n            if pos[i] > pos[i - 1]:\n                continue\n            j = i\n            while j > 0 and pos[j] < pos[j - 1]:\n                j -= 1\n            for k in range(j, i):\n                pos[k], pos[k + 1] = pos[k + 1], pos[k]\n            operations += i - j\n        return operations"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        n = len(s)\n        max_len = 1\n        for i in range(n):\n            for j in range(i + 1, n):\n                if s[i] == s[j] and s[i - 1] != s[j - 1]:\n                    tmp = j - i + 1\n                    if tmp > max_len:\n                        max_len = tmp\n                elif s[i] != s[j]:\n                    tmp = j - i + 1\n                    if tmp > max_len:\n                        max_len = tmp\n        return max_len",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        n = len(s)\n        max_len = 1\n        for i in range(n):\n            for j in range(i + 1, n):\n                if s[i] == s[j] and s[i:j].count(s[i]) == 2:\n                    continue\n                temp_str = s[i:j]\n                if temp_str.count(temp_str[0]) <= 1 and temp_str.count(temp_str[-1]) <= 1:\n                    max_len = max(max_len, j - i)\n        return max_len",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        n = len(s)\n        max_len = 1\n        for i in range(n):\n            for j in range(i + 1, n):\n                if s[i] == s[j] and s[i:j].count(s[i]) == 2:\n                    continue\n                temp_str = s[i:j]\n                if temp_str.count(temp_str[0]) <= 1 and temp_str.count(temp_str[-1]) <= 1:\n                    max_len = max(max_len, j - i)\n        return max_len",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        n = len(s)\n        max_len = 1\n        for i in range(n):\n            for j in range(i + 1, n):\n                if s[i] == s[j]:\n                    temp_str = s[i:j+1]\n                    if self.is_semi_repetitive(temp_str):\n                        max_len = max(max_len, len(temp_str))\n        return max_len\n    \n    def is_semi_repetitive(self, s: str) -> bool:\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1] and (i == 0 or s[i - 1] != s[i]):\n                return True\n            elif s[i] == s[i + 1] and s[i - 1] == s[i]:\n                return False\n        return True",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        max_length = 1\n        current_length = 1\n\n        for i in range(1, len(s)):\n            if s[i] == s[i - 1]:\n                if current_length == 1:\n                    current_length += 1\n                else:\n                    current_length = 1\n            elif current_length + 1 <= max_length:\n                current_length = 1\n            else:\n                max_length = current_length + 1\n                current_length = 1\n\n        return max(max_length, current_length)",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        max_length = 1\n        curr_length = 1\n\n        for i in range(1, len(s)):\n            if s[i] == s[i - 1]:\n                if i == 1 or s[i] != s[i - 2]:\n                    curr_length += 1\n                else:\n                    max_length = max(max_length, curr_length)\n                    curr_length = 1\n            else:\n                max_length = max(max_length, curr_length)\n                curr_length = 1\n\n        return max(max_length, curr_length)",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        max_length = 0\n        for i in range(len(s)):\n            for j in range(i + 1, len(s) + 1):\n                substring = s[i:j]\n                if self.is_semi_repetitive(substring):\n                    max_length = max(max_length, len(substring))\n        return max_length\n\n    def is_semi_repetitive(self, s: str) -> bool:\n        last_char = None\n        repeat_found = False\n        for char in s:\n            if char == last_char:\n                if repeat_found:\n                    return False\n                repeat_found = True\n            last_char = char\n        return True",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        n = len(s)\n        max_len = 1\n        for i in range(n):\n            for j in range(i + 1, n):\n                if s[i] == s[j] and s[i:j].count(s[i]) == 2:\n                    temp_str = s[i:j + 1]\n                    if temp_str.count(temp_str[0:2]) == 2:\n                        max_len = max(max_len, len(temp_str))\n                    else:\n                        max_len = max(max_len, len(temp_str) - 1)\n                else:\n                    max_len = max(max_len, j - i + 1)\n        return max_len",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        n = len(s)\n        max_len = 1\n        for i in range(n):\n            for j in range(i + 1, n):\n                if s[i] == s[j]:\n                    temp_str = s[i:j+1]\n                    if self.is_semi_repetitive(temp_str):\n                        max_len = max(max_len, len(temp_str))\n        return max_len\n\n    def is_semi_repetitive(self, s: str) -> bool:\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1] and (i == 0 or s[i - 1] != s[i]):\n                return True\n        return False",
                "class Solution:\n    def longestSemiRepetitiveSubstring(self, s: str) -> int:\n        max_length = 1\n        curr_length = 1\n\n        for i in range(1, len(s)):\n            if s[i] == s[i - 1]:\n                if i == 1 or s[i] != s[i - 2]:\n                    curr_length += 1\n            else:\n                curr_length = 1\n\n            max_length = max(max_length, curr_length)\n\n        return max_length"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        \n        while True:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n            if visited[current]:\n                break\n                \n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        \n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        \n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        \n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        \n        return [i + 1 for i in range(n) if not visited[i + 1]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        \n        while True:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n            if visited[current]:\n                break\n                \n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        \n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        \n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        return [i for i in range(1, n + 1) if not visited[i]]",
                "class Solution:\n    def circularGameLosers(self, n: int, k: int) -> List[int]:\n        visited = [False] * (n + 1)\n        current, steps = 1, 0\n        while not visited[current]:\n            visited[current] = True\n            steps += 1\n            current = (current + k * steps) % n\n        return [i for i in range(1, n + 1) if not visited[i]]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        n = len(derived)\n        count_ones = derived.count(1)\n        # If the number of 1's is not even, return false\n        if count_ones % 2 != 0:\n            return False\n        # If the number of elements is odd and the first and last elements are 1, return false\n        if n % 2 != 0 and derived[0] == 1 and derived[-1] == 1:\n            return False\n        return True",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        n = len(derived)\n        count_ones = derived.count(1)\n\n        # if n is even, there should be exactly one 1 in derived\n        # if n is odd, there should be exactly two 1s in derived\n        return (n % 2 == 0 and count_ones == 1) or (n % 2 == 1 and count_ones == 2)",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0",
                "class Solution:\n    def doesValidArrayExist(self, derived: List[int]) -> bool:\n        xor_sum = 0\n        for val in derived:\n            xor_sum ^= val\n        return xor_sum == 0"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)",
                "class Solution:\n    def minLength(self, s: str) -> int:\n        while 'AB' in s or 'CD' in s:\n            if 'AB' in s:\n                s = s.replace(\"AB\", \"\")\n            if 'CD' in s:\n                s = s.replace(\"CD\", \"\")\n        return len(s)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            temp = num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return num == sum_\n\n        total = 0\n        for i in range(1, n + 1):\n            square = i * i\n            if is_punishment(square):\n                total += square\n        return total",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            str_num = str(num * num)\n            for c in str_num:\n                sum_ += int(c)\n            return sum_ == num\n\n        ans = 0\n        for i in range(1, n + 1):\n            if is_punishment(i):\n                ans += i * i\n        return ans",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num: int) -> bool:\n            sum_ = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return sum_ == num\n\n        return sum(i * i for i in range(1, n + 1) if is_punishment(i))",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return sum_ == num\n\n        return sum(i * i for i in range(1, n + 1) if is_punishment(i))",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            temp = num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return num == sum_\n\n        return sum(i * i for i in range(1, n + 1) if is_punishment(i * i))",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return sum_ == num\n\n        return sum(i * i for i in range(1, n + 1) if is_punishment(i))",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num: int) -> bool:\n            sum_ = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return sum_ == num\n\n        return sum(i * i for i in range(1, n + 1) if is_punishment(i))",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return sum_ == num\n\n        ans = 0\n        for i in range(1, n + 1):\n            if is_punishment(i):\n                ans += i * i\n        return ans",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum_ = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum_ += digit\n                temp //= 10\n            return sum_ == num\n\n        ans = sum(i * i for i in range(1, n + 1) if is_punishment(i))\n        return ans",
                "class Solution:\n    def punishmentNumber(self, n: int) -> int:\n        def is_punishment(num):\n            sum = 0\n            temp = num * num\n            while temp:\n                digit = temp % 10\n                sum += digit\n                temp //= 10\n            return num == sum\n\n        ans = 0\n        for i in range(1, n + 1):\n            if is_punishment(i):\n                ans += i * i\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(501)]\n\n        for i in range(1, n + 1):\n            for j in range(501):\n                if i == 1:\n                    dp[j][i] = cost[i - 1] if j >= time[i - 1] else float('inf')\n                else:\n                    dp[j][i] = min(dp[j][i - 1], cost[i - 1] + dp[j - time[i - 1]][i - 1]) if j >= time[i - 1] else dp[j][i - 1]\n\n        return dp[500][n]",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(n + 1)]\n\n        for i in range(1, n + 1):\n            dp[i][i - 1] = cost[i - 1]\n\n        for gap in range(1, n):\n            for i in range(1, n - gap + 1):\n                j = i + gap\n                dp[i][j] = float('inf')\n                for k in range(i, j):\n                    wait_time = max(time[k - 1], dp[i][k - 1] + dp[k + 1][j] - (k - i))\n                    dp[i][j] = min(dp[i][j], wait_time + cost[k])\n\n        return dp[1][n - 1]",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[float('inf')] * (n + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if j == -1:\n                    dp[i + 1][i + 1] = min(dp[i + 1][i + 1], dp[i][j] + cost[i])\n                else:\n                    dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + cost[i])\n                    if time[j] <= i:\n                        dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n\n        return dp[n][n]",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(501)]\n\n        for i in range(1, n + 1):\n            for j in range(501):\n                if i == 1:\n                    dp[j][i] = cost[i - 1] if j >= time[i - 1] else float('inf')\n                else:\n                    dp[j][i] = min(dp[j][i - 1], cost[i - 1] + dp[j - time[i - 1]][i - 1]) if j >= time[i - 1] else dp[j][i - 1]\n\n        return dp[500][n]",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(501)]\n\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i == j:\n                    dp[i][j] = min(dp[i - 1][j - 1] + cost[i - 1], dp[i - 1][j - 1] + time[i - 1])\n                else:\n                    dp[i][j] = min(dp[i - 1][j - 1] + cost[i - 1], dp[i][j - 1] + time[i - 1])\n\n        return dp[n][n]",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(501)]\n\n        for i in range(1, n + 1):\n            for j in range(501):\n                if i == 1:\n                    dp[j][i] = cost[i - 1] if j >= time[i - 1] else float('inf')\n                else:\n                    dp[j][i] = min(dp[j][i - 1], dp[j - time[i - 1]][i - 1] + cost[i - 1])\n\n        return min(dp[-1])",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(501)]\n\n        for i in range(1, n + 1):\n            for j in range(501):\n                if i == 1:\n                    dp[j][i] = cost[i - 1] if j >= time[i - 1] else float('inf')\n                else:\n                    dp[j][i] = min(dp[j][i - 1], dp[j - time[i - 1]][i - 1] + cost[i - 1])\n\n        return min(dp[-1])",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(n + 1)]\n\n        for i in range(1, n + 1):\n            dp[i][0] = dp[i - 1][0] + cost[i - 1]\n            dp[i][i] = max(dp[i][i - 1], dp[i - 1][i] + cost[i - 1])\n            for j in range(1, i):\n                dp[i][j] = max(dp[i - 1][j] + cost[i - 1], dp[i - 1][j - 1] + (0 if time[i - 1] <= j else cost[i - 1]))\n\n        return max(dp[n][0], dp[n][1])",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(n + 1)]\n\n        for i in range(1, n + 1):\n            dp[i][0] = dp[i - 1][0] + cost[i - 1]\n            dp[i][i] = max(dp[i][i - 1], dp[i - 1][i] + cost[i - 1])\n            for j in range(1, i):\n                dp[i][j] = max(dp[i - 1][j] + cost[i - 1], dp[i - 1][j - 1] + (0 if time[i - 1] <= j else cost[i - 1]))\n\n        return dp[n][0]",
                "class Solution:\n    def paintWalls(self, cost: List[int], time: List[int]) -> int:\n        n = len(cost)\n        dp = [[0] * (n + 1) for _ in range(501)]\n\n        for i in range(1, n + 1):\n            for j in range(501):\n                if i == 1:\n                    dp[j][i] = cost[i - 1] if j >= time[i - 1] else float('inf')\n                else:\n                    dp[j][i] = min(dp[j][i - 1], cost[i - 1] + dp[j - time[i - 1]][i - 1]) if j >= time[i - 1] else dp[j][i - 1]\n\n        return dp[500][n]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = nums[i] + min(nums[(i+1):] + nums[:i+1])\n            min_cost = min(min_cost, temp_cost + (n-1) * x)\n            \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = 0\n            for j in range(n):\n                temp_cost += min(nums[(i+j)%n], nums[j])\n            min_cost = min(min_cost, temp_cost + x*(j//n))\n        \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = nums[i] + min(nums[(i + 1) % n], nums[(i - 1 + n) % n]) * (n - 1)\n            for j in range(1, n):\n                temp_cost += min(nums[(i + j) % n], nums[(i - j + n) % n]) * 2 * (n - j) - (n - j) * x\n            min_cost = min(min_cost, temp_cost)\n            \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            cost = nums[i] + min(nums[(i + 1) % n], nums[(i - 1 + n) % n])\n            total_cost = total_cost - nums[i] + cost + (n - 1) * x\n            min_cost = min(min_cost, total_cost)\n            \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = nums[i] + min(nums[(i+1):] + nums[:i+1])\n            min_cost = min(min_cost, temp_cost + (n-1) * x)\n            \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = 0\n            for j in range(n):\n                temp_cost += min(nums[(i+j)%n], nums[j])\n            min_cost = min(min_cost, temp_cost + x*(j//n))\n        \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = nums[i]\n            for j in range(i + 1, n):\n                temp_cost += min(nums[j], x + nums[(j - 1) % n])\n            min_cost = min(min_cost, temp_cost)\n            \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            cost = nums[(i + 1) % n] + min(nums[i], x - nums[i]) * n\n            for j in range(n):\n                if j != i:\n                    cost += min(nums[j], (j - i - 1) % n * x, (i + 1 - j) % n * x)\n            min_cost = min(min_cost, cost)\n        \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = 0\n            for j in range(n):\n                temp_cost += min(nums[(i+j) % n], nums[j])\n            min_cost = min(min_cost, temp_cost + x * (j // n))\n        \n        return min_cost",
                "class Solution:\n    def minCost(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        total_cost = sum(nums)\n        min_cost = total_cost\n        \n        for i in range(n):\n            temp_cost = 0\n            for j in range(n):\n                temp_cost += min(nums[(i+j)%n], nums[j])\n            min_cost = min(min_cost, temp_cost + x*(j//n))\n        \n        return min_cost"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr, k):\n            s = set(arr)\n            for num in arr:\n                if k - num in s:\n                    return False\n            return True\n\n        arr = list(range(1, n + 1))\n        if is_k_avoiding(arr, k):\n            return sum(arr)\n\n        min_sum = float(\"inf\")\n        for i in range(n):\n            for j in range(i + 1, n + 1):\n                new_arr = list(range(1, i)) + list(range(j + 1, n + 1))\n                if is_k_avoiding(new_arr, k):\n                    min_sum = min(min_sum, sum(new_arr))\n\n        return min_sum",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr: list[int]) -> bool:\n            s = set(arr)\n            for num in arr:\n                if k - num in s:\n                    return False\n            return True\n\n        def calculate_sum(arr: list[int]) -> int:\n            return sum(arr)\n\n        arr = list(range(1, n + 1))\n        while not is_k_avoiding(arr):\n            arr.sort()\n            for i in range(n - 2, -1, -1):\n                if arr[i] + arr[i + 1] == k:\n                    arr[i] += 1\n                    break\n\n        return calculate_sum(arr)",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr, k):\n            s = set(arr)\n            for num in arr:\n                if k - num in s:\n                    return False\n            return True\n\n        arr = list(range(1, n + 1))\n        if is_k_avoiding(arr, k):\n            return sum(arr)\n\n        min_sum = float(\"inf\")\n        for i in range(n):\n            for j in range(i + 1, n + 1):\n                new_k = k - (i + j)\n                if new_k > 0 and new_k <= j:\n                    continue\n                new_arr = list(range(1, i)) + list(range(j + 1, n + 1))\n                if is_k_avoiding(new_arr, k):\n                    min_sum = min(min_sum, sum(new_arr))\n\n        return min_sum",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr, k):\n            s = set(arr)\n            for num in arr:\n                if k - num in s:\n                    return False\n            return True\n\n        arr = list(range(1, n + 1))\n        if is_k_avoiding(arr, k):\n            return sum(arr)\n\n        min_sum = float('inf')\n        for i in range(n):\n            for j in range(i + 1, n + 1):\n                new_arr = list(range(1, i)) + list(range(i + 1, j)) + list(range(j + 1, n + 1))\n                if is_k_avoiding(new_arr, k):\n                    min_sum = min(min_sum, sum(new_arr))\n\n        return min_sum",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr: list[int]) -> bool:\n            s = set(arr)\n            for num in s:\n                if k - num in s:\n                    return False\n            return True\n\n        def calculate_sum(arr: list[int]) -> int:\n            return sum(arr)\n\n        arr = list(range(1, n + 1))\n        while not is_k_avoiding(arr):\n            arr = [num + 1 for num in arr]\n\n        return calculate_sum(arr)",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr: list[int]) -> bool:\n            s = set(arr)\n            for num in s:\n                if k - num in s and num != k - num:\n                    return False\n            return True\n        \n        arr = list(range(1, n + 1))\n        while not is_k_avoiding(arr):\n            arr = [num + 1 for num in arr]\n        return sum(arr)",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr: list[int]) -> bool:\n            s = set(arr)\n            for num in s:\n                if k - num in s:\n                    return False\n            return True\n\n        arr = list(range(1, n + 1))\n        while not is_k_avoiding(arr):\n            arr = [num + 1 for num in arr]\n\n        return sum(arr)",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr, k):\n            s = set(arr)\n            for num in arr:\n                if k - num in s:\n                    return False\n            return True\n\n        arr = list(range(1, n + 1))\n        while not is_k_avoiding(arr, k):\n            arr = [num + 1 for num in arr]\n\n        return sum(arr)",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr: list[int]) -> bool:\n            s = set(arr)\n            for num in s:\n                if k - num in s and num != k - num:\n                    return False\n            return True\n\n        def dfs(path: list[int], k: int) -> int:\n            if len(path) == n:\n                return sum(path)\n            min_sum = float('inf')\n            for i in range(1, 51):\n                if i not in path and (k - i not in path or k - i == i):\n                    path.append(i)\n                    min_sum = min(min_sum, dfs(path, k))\n                    path.pop()\n            return min_sum\n\n        return dfs([], k)",
                "class Solution:\n    def minimumSum(self, n: int, k: int) -> int:\n        def is_k_avoiding(arr, k):\n            s = set(arr)\n            for num in arr:\n                if k - num in s:\n                    return False\n            return True\n\n        arr = list(range(1, n + 1))\n        if is_k_avoiding(arr, k):\n            return sum(arr)\n\n        min_sum = float(\"inf\")\n        for i in range(n):\n            for j in range(i + 1, n + 1):\n                new_k = k - (i + j)\n                if new_k > 0 and new_k <= j:\n                    continue\n                new_arr = list(range(1, i)) + list(range(j + 1, n + 1))\n                if is_k_avoiding(new_arr, k):\n                    min_sum = min(min_sum, sum(new_arr))\n\n        return min_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t",
                "class Solution:\n    def theMaximumAchievableX(self, num: int, t: int) -> int:\n        return num + t"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n        j = 0\n        res = [0] * (n + 1)\n\n        for k in range(n):\n            while i > j and s[i] != s[j]:\n                i -= 1\n            if s[i] == s[j]:\n                res[k] = s[i]\n                i -= 1\n                j += 1\n            else:\n                res[k] = chr(ord('a') + j)\n\n        return \"\".join(res[n - 1:0:-1] + res[n:])",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n // 2\n        s = list(s)\n        for j in range(n // 2):\n            if s[i - j - 1] != s[n - j - 1]:\n                if i - j - 1 > n - j - 1:\n                    s[i - j - 1] = chr(ord('a') + (ord(s[n - j - 1]) - ord('a')))\n                else:\n                    s[n - j - 1] = chr(ord('a') + (ord(s[i - j - 1]) - ord('a')))\n        return ''.join(s[: n // 2][::-1] + s[n // 2:])",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n        j = 0\n        ops = 0\n        res = [0] * n\n\n        for k in range(n // 2):\n            if s[i] == s[j]:\n                res[j] = s[j]\n                i -= 1\n                j += 1\n            else:\n                if s[i + 1] == s[j]:\n                    ops += 1\n                    res[j] = s[i + 1]\n                    i -= 1\n                else:\n                    ops += 1\n                    res[j] = 'a'\n                    j += 1\n\n        if n % 2 != 0:\n            res[n // 2] = s[n // 2]\n\n        for k in range(n // 2, n):\n            res[k] = s[i]\n            i -= 1\n\n        return \"\".join(res)",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n        j = 0\n        ops = 0\n        res = [0] * n\n\n        for k in range(n + 1) // 2:\n            if s[i] == s[j]:\n                res[j] = s[j]\n                i -= 1\n                j += 1\n            else:\n                if s[i + 1] == s[j]:\n                    ops += 1\n                    res[j] = s[i + 1]\n                    i -= 1\n                    j += 1\n                elif s[i] == s[j + 1]:\n                    ops += 1\n                    res[j] = s[j + 1]\n                    j += 1\n                else:\n                    ops += 1\n                    res[j] = chr(ord('a') + min(ord(s[i + 1]) - ord('a'), ord(s[j]) - ord('a')))\n                    i -= 1\n                    j += 1\n\n        return \"\".join(res)",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n        j = 0\n        res = [0] * (n + 1)\n\n        for k in range(n):\n            if s[i] == s[j]:\n                res[k] = s[i]\n                i -= 1\n                j += 1\n            else:\n                res[k] = s[j]\n                j += 1\n\n        res = ''.join(res)\n        return res[::-1] + res[n:]",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n\n        for j in range(n // 2):\n            if s[j] != s[i]:\n                if i == j:\n                    s = s[:j] + 'a' + s[j + 1:]\n                else:\n                    s = s[:j] + chr(ord(s[i]) - 1) + s[j + 1:]\n                break\n            i -= 1\n\n        s += s[::-1][1:]\n        return s",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n        j = 0\n        res = ['#'] * (2 * n + 1)\n\n        while i >= 0 and j < n:\n            if s[i] == s[j]:\n                res[i + j + 1] = s[i]\n                i -= 1\n                j += 1\n            else:\n                k = j - 1\n                while k >= i:\n                    res[i + j + 1] = min(s[k], s[i])\n                    if res[i + j + 1] == s[k]:\n                        k -= 1\n                    else:\n                        i -= 1\n                        break\n                j += 1\n\n        return \"\".join(res[1:])",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n - 1\n        j = 0\n        res = [''] * n\n\n        for k in range(n):\n            if i > j:\n                res[k] = s[i]\n                i -= 1\n            else:\n                res[k] = s[j]\n                j += 1\n\n        res_str = ''.join(res)\n        i = n - 1\n        j = n - 1\n\n        while i >= 0 and j >= 0 and res_str[i] == res_str[j]:\n            i -= 1\n            j -= 1\n\n        i += 1\n        res = [''] * n\n        c = 'a'\n\n        for k in range(i, j + 1):\n            if res_str[k] < c:\n                c = res_str[k]\n\n        for k in range(i, j + 1):\n            res[k] = c\n            c = chr(ord(c) + 1)\n\n        for k in range(n):\n            if i > j:\n                res[k] = s[i - 1]\n                i -= 1\n            else:\n                res[k] = s[j - 1]\n                j -= 1\n\n        return ''.join(res)",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n // 2\n        s = list(s)\n        while i >= 0:\n            if s[i - 1] == s[n - i]:\n                i -= 1\n            else:\n                if s[i - 1] > s[n - i]:\n                    s[i - 1] = chr(ord(s[n - i]) - (ord(s[i - 1]) - ord(s[n - i])))\n                else:\n                    s[n - i] = chr(ord(s[i - 1]) - (ord(s[n - i]) - ord(s[i - 1])))\n                break\n        return ''.join(s[i - 1:n - i : -1] + s[i:])",
                "class Solution:\n    def makeSmallestPalindrome(self, s: str) -> str:\n        n = len(s)\n        i = n // 2\n        s = list(s)\n        for j in range(n // 2):\n            if s[i - j - 1] != s[n - j - 1]:\n                if j > 0 and s[i - j] != s[n - j - 1]:\n                    s[i - j - 1] = s[n - j - 1]\n                else:\n                    s[n - j - 1] = s[i - j - 1]\n        return \"\".join(s[:i:-1] + s)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        left, right = 0, 0\n\n        for i in range(n):\n            if s[i] == '0':\n                left += 1\n            else:\n                right += 1\n\n            left_cost[i] = left\n            right_cost[i] = right\n\n        min_cost = float('inf')\n        for i in range(n):\n            cost = left_cost[i] + right_cost[n - 1 - i] + i + 1\n            min_cost = min(min_cost, cost)\n\n        return min_cost",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = i + 1 if i == 0 else left_cost[i - 1] + 1\n                right_cost[i] = n - i if i == n - 1 else right_cost[i + 1] + 1\n            else:\n                left_cost[i] = left_cost[i - 1]\n                right_cost[i] = right_cost[i + 1]\n\n        min_cost = left_cost[-1]\n        for i in range(n - 1):\n            min_cost = min(min_cost, left_cost[i] + right_cost[i + 1])\n\n        return min_cost",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        left, right = 0, 0\n\n        for i in range(n):\n            if s[i] == '0':\n                left += 1\n            else:\n                right += 1\n            left_cost[i] = left\n            right_cost[i] = right\n\n        ans = float('inf')\n        for i in range(n):\n            ans = min(ans, left_cost[i] + right_cost[i] + i + 1)\n            ans = min(ans, left_cost[i] + (n - right_cost[i] - 1) + n - i)\n\n        return ans",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = i + 1 if i == 0 else left_cost[i - 1] + 1\n                right_cost[i] = n - i if i == n - 1 else right_cost[i + 1] + 1\n            else:\n                left_cost[i] = left_cost[i - 1]\n                right_cost[i] = right_cost[i + 1]\n\n        min_cost = left_cost[-1]\n        for i in range(n - 1):\n            min_cost = min(min_cost, left_cost[i] + right_cost[i + 1])\n\n        return min_cost",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        left, right = 0, 0\n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = left\n                left += 1\n            else:\n                left_cost[i] = left\n\n            if s[n - 1 - i] == '1':\n                right_cost[n - 1 - i] = right\n                right += 1\n            else:\n                right_cost[n - 1 - i] = right\n\n        ans = n\n        for i in range(n):\n            ans = min(ans, left_cost[i] + right_cost[i] + i + 1)\n\n        return ans",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = i + 1 if i == 0 else left_cost[i - 1] + 1\n                right_cost[i] = n - i if i == n - 1 else right_cost[i + 1] + 1\n            else:\n                left_cost[i] = left_cost[i - 1]\n                right_cost[i] = right_cost[i + 1]\n        min_cost = left_cost[-1]\n        for i in range(n - 1):\n            min_cost = min(min_cost, left_cost[i] + right_cost[i + 1])\n        return min_cost",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        total_cost = 0\n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = left_cost[i - 1] + 1 if i > 0 else 1\n                right_cost[i] = right_cost[i - 1]\n            else:\n                left_cost[i] = left_cost[i - 1]\n                right_cost[i] = right_cost[i - 1] + 1 if i > 0 else 1\n\n            total_cost += min(left_cost[i], right_cost[i])\n\n        return total_cost",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        left, right = 0, 0\n\n        for i in range(n):\n            if s[i] == '0':\n                left += 1\n                left_cost[i] = left\n            else:\n                left = 0\n\n        for i in range(n - 1, -1, -1):\n            if s[i] == '1':\n                right += 1\n                right_cost[i] = right\n            else:\n                right = 0\n\n        min_cost = float('inf')\n        for i in range(n):\n            cost = i + 1 + (n - i - 1) - left_cost[i] - right_cost[i]\n            min_cost = min(min_cost, cost)\n\n        return min_cost",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n        left, right = 0, 0\n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = left\n                left += 1\n            else:\n                right_cost[i] = right\n                right += 1\n\n        ans = n\n        for i in range(n):\n            ans = min(ans, left_cost[i] + right + (n - i - 1))\n            ans = min(ans, right_cost[i] + left + i)\n\n        return ans",
                "class Solution:\n    def minimumCost(self, s: str) -> int:\n        n = len(s)\n        left_cost = [0] * n\n        right_cost = [0] * n\n\n        for i in range(n):\n            if s[i] == '0':\n                left_cost[i] = i + 1 if i == 0 else left_cost[i - 1] + 1\n                right_cost[i] = n - i if i == n - 1 else right_cost[i + 1] + 1\n            else:\n                left_cost[i] = left_cost[i - 1]\n                right_cost[i] = right_cost[i + 1]\n\n        min_cost = float('inf')\n        for i in range(n):\n            min_cost = min(min_cost, left_cost[i] + right_cost[i])\n\n        return min_cost"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0') and num != '0':\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num",
                "class Solution:\n    def removeTrailingZeros(self, num: str) -> str:\n        while num.endswith('0'):\n            num = num[:-1]\n        return num"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        num = str(n) + str(n*2) + str(n*3)\n        if len(num) != 9 or '0' in num:\n            return False\n        return sorted(num) == list('123456789')",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n * 2) + str(n * 3)\n        return len(s) == len(set(s)) == 9 and '0' not in s",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n * 2) + str(n * 3)\n        return len(s) == len(set(s)) == 9 and '0' not in s",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        num = str(n) + str(n*2) + str(n*3)\n        num_set = set(num)\n        return num_set == set('123456789')",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n * 2) + str(n * 3)\n        return len(s) == 9 and sorted(s) == list(\"123456789\")",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n * 2) + str(n * 3)\n        return len(s) == len(set(s)) == 9 and '0' not in s",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n*2) + str(n*3)\n        return len(s) == 9 and sorted(s) == list(\"123456789\")",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n * 2) + str(n * 3)\n        return len(s) == len(set(s)) == 9 and '0' not in s",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n*2) + str(n*3)\n        return len(s) == 9 and sorted(s) == list(\"123456789\")",
                "class Solution:\n    def isFascinating(self, n: int) -> bool:\n        s = str(n) + str(n * 2) + str(n * 3)\n        return len(s) == len(set(s)) == 9 and '0' not in s"
            ],
            "pass1_list": [
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if not stack or stack[-1] != c:\n                stack.append(c)\n            else:\n                stack.pop()\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if not stack or stack[-1] != c:\n                stack.append(c)\n            else:\n                stack.pop()\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if not stack or stack[-1] != c:\n                stack.append(c)\n            else:\n                stack.pop()\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)",
                "class Solution:\n    def minimizedStringLength(self, s: str) -> int:\n        stack = []\n        for c in s:\n            if stack and stack[-1] == c:\n                stack.pop()\n            else:\n                stack.append(c)\n        return len(stack)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_cycle(node, parent):\n            if cycle and node in visited:\n                return True\n            visited.add(node)\n            for neighbor in graph[node]:\n                if neighbor != parent and find_cycle(neighbor, node):\n                    return True\n            return False\n\n        n = len(nums)\n        graph = [[] for _ in range(n)]\n        for i in range(n):\n            for j in range(i + 1, n):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        cycle = False\n        for i in range(n):\n            visited = set()\n            cycle |= find_cycle(i, -1)\n\n        return cycle",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_connected_components(graph):\n            visited = set()\n            components = []\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    component = set()\n                    while stack:\n                        current = stack.pop()\n                        if current not in visited:\n                            visited.add(current)\n                            component.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n                    components.append(component)\n            return components\n\n        def is_connected(graph):\n            visited = set()\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    while stack:\n                        current = stack.pop()\n                        if current not in visited:\n                            visited.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n            return len(visited) == len(graph)\n\n        n = len(nums)\n        graph = [[] for _ in range(n)]\n        for i in range(n):\n            for j in range(i + 1, n):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        components = find_connected_components(graph)\n        return len(components) == 1 and is_connected(graph)",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_cycle(node, parent):\n            if cycle:\n                return\n            cycle[node] = True\n            for neighbor in graph[node]:\n                if neighbor != parent and (not cycle[neighbor]):\n                    find_cycle(neighbor, node)\n\n        def is_cyclic(node):\n            global cycle\n            cycle = [False] * len(graph)\n            find_cycle(node, -1)\n            return any(cycle)\n\n        def dfs(node, parent):\n            visited[node] = True\n            for neighbor in graph[node]:\n                if not visited[neighbor]:\n                    dfs(neighbor, node)\n\n        global graph, visited, cycle\n        graph = [[] for _ in range(len(nums))]\n        visited = [False] * len(nums)\n        cycle = []\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        for i in range(len(nums)):\n            if not visited[i] and not is_cyclic(i):\n                return False\n\n        return True",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_cycle(node, parent, gcd_graph):\n            visited.add(node)\n            for next_node, gcd_value in gcd_graph[node]:\n                if next_node == parent:\n                    continue\n                if next_node in visited:\n                    return next_node\n                cycle_node = find_cycle(next_node, node, gcd_graph)\n                if cycle_node:\n                    return cycle_node\n            return None\n\n        gcd_graph = [[] for _ in range(len(nums))]\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                gcd_value = gcd(nums[i], nums[j])\n                if gcd_value > 1:\n                    gcd_graph[i].append((j, gcd_value))\n                    gcd_graph[j].append((i, gcd_value))\n\n        visited = set()\n        cycle = None\n        for i in range(len(nums)):\n            if i not in visited:\n                cycle = find_cycle(i, -1, gcd_graph)\n                if not cycle:\n                    return False\n                visited.add(cycle)\n\n        return True",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_components(nums):\n            components = []\n            visited = set()\n\n            for num in nums:\n                if num not in visited:\n                    component = [i for i in range(len(nums)) if gcd(num, nums[i]) > 1]\n                    components.append(component)\n                    visited.update(component)\n\n            return components\n\n        components = find_components(nums)\n        return len(components) == 1",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_cycle(node, parent, visited, graph):\n            visited[node] = True\n            for neighbor in graph[node]:\n                if neighbor == parent:\n                    continue\n                if not visited[neighbor]:\n                    if find_cycle(neighbor, node, visited, graph):\n                        return True\n            return False\n\n        def is_connected(node, visited, graph):\n            stack = [node]\n            visited[node] = True\n            while stack:\n                current = stack.pop()\n                for neighbor in graph[current]:\n                    if not visited[neighbor]:\n                        stack.append(neighbor)\n                        visited[neighbor] = True\n            return all(visited[i] for i in range(len(visited)))\n\n        graph = [[] for _ in range(len(nums))]\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        visited = [False] * len(nums)\n        for i in range(len(nums)):\n            if not visited[i]:\n                if not is_connected(i, visited, graph):\n                    return False\n                for j in range(i + 1, len(nums)):\n                    if not visited[j]:\n                        if not find_cycle(i, -1, visited, graph) or not find_cycle(j, -1, visited, graph):\n                            return False\n        return True",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_connected_components(graph):\n            visited = set()\n            components = []\n\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    component = set()\n\n                    while stack:\n                        current = stack.pop()\n\n                        if current not in visited:\n                            visited.add(current)\n                            component.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n\n                    components.append(component)\n\n            return components\n\n        def is_connected(graph):\n            visited = set()\n            stack = [0]\n\n            while stack:\n                current = stack.pop()\n\n                if current not in visited:\n                    visited.add(current)\n                    stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n\n            return len(visited) == len(graph)\n\n        n = len(nums)\n        graph = [[] for _ in range(n)]\n\n        for i in range(n):\n            for j in range(i + 1, n):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        components = find_connected_components(graph)\n\n        return len(components) == 1 and is_connected(graph[0])",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_connected_components(graph):\n            visited = set()\n            components = []\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    component = set()\n                    while stack:\n                        current = stack.pop()\n                        if current not in visited:\n                            visited.add(current)\n                            component.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n                    components.append(component)\n            return components\n\n        def is_connected(graph):\n            visited = set()\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    while stack:\n                        current = stack.pop()\n                        if current not in visited:\n                            visited.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n            return len(visited) == len(graph)\n\n        n = len(nums)\n        graph = [[] for _ in range(n)]\n        for i in range(n):\n            for j in range(i + 1, n):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        components = find_connected_components(graph)\n        return len(components) == 1 and is_connected(graph)",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_connected_components(graph):\n            visited = set()\n            components = []\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    component = set()\n                    while stack:\n                        current = stack.pop()\n                        if current not in visited:\n                            visited.add(current)\n                            component.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n                    components.append(component)\n            return components\n\n        def is_connected(graph):\n            visited = set()\n            for node in graph:\n                if node not in visited:\n                    stack = [node]\n                    while stack:\n                        current = stack.pop()\n                        if current not in visited:\n                            visited.add(current)\n                            stack.extend(neighbor for neighbor in graph[current] if neighbor not in visited)\n            return len(visited) == len(graph)\n\n        n = len(nums)\n        graph = [[] for _ in range(n)]\n        for i in range(n):\n            for j in range(i + 1, n):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        components = find_connected_components(graph)\n        return len(components) == 1 and is_connected(graph)",
                "class Solution:\n    def canTraverseAllPairs(self, nums: List[int]) -> bool:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def find_cycle(node, parent):\n            if cycle:\n                return\n            cycle[0] = True\n            for next_node in graph[node]:\n                if next_node != parent:\n                    find_cycle(next_node, node)\n\n        n = len(nums)\n        graph = [[] for _ in range(n)]\n        for i in range(n):\n            for j in range(i + 1, n):\n                if gcd(nums[i], nums[j]) > 1:\n                    graph[i].append(j)\n                    graph[j].append(i)\n\n        cycle = [False]\n        for i in range(n):\n            find_cycle(i, -1)\n\n        return not any(cycle[0] == False for nums_i in nums if nums_i > 1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                temp = s[i:j+1]\n                temp = [alphabet[(alphabet.index(c)-1)%26] for c in temp]\n                if temp < s[i:j+1]:\n                    s[i:j+1] = temp\n                    break\n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"z\" + \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        min_index = 0\n        min_char = s[0]\n        for i, char in enumerate(s):\n            if char < min_char:\n                min_index = i\n                min_char = char\n        \n        for i in range(len(s)):\n            s[i] = alphabet[alphabet.index(s[i]) - 1]\n        \n        s[min_index] = alphabet[alphabet.index(s[min_index]) - 1]\n        \n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        n = len(s)\n        prev_char = 'z'\n        result = ''\n        for c in s:\n            if c > prev_char:\n                result += c\n                prev_char = c\n            else:\n                result += 'a'\n                prev_char = 'a'\n        return result",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                temp = s[i:j+1]\n                new_temp = [alphabet[(alphabet.index(c)-1)%26] for c in temp]\n                new_s = s[:i] + new_temp + s[j+1:]\n                s = new_s if new_s < s else s\n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                temp = s[i:j+1]\n                temp = [alphabet[(alphabet.index(c)-1)%26] for c in temp]\n                if temp < s[i:j+1]:\n                    s[i:j+1] = temp\n                    break\n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                temp = s[i:j+1]\n                temp = [alphabet[(alphabet.index(c)-1)%26] for c in temp]\n                if temp < s[i:j+1]:\n                    s[i:j+1] = temp\n                    break\n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"z\" + \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                temp = s[i:j+1]\n                temp = [alphabet[(alphabet.index(c)-1) % 26] for c in temp]\n                s[i:j+1] = temp\n                if \"\".join(s) < s:\n                    break\n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        n = len(s)\n        prev_char = 'z'\n        result = ''\n        for c in s:\n            if c != 'a':\n                prev_char = min(prev_char, c - 1)\n            result += c\n        return (prev_char + result)[-n:]",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        alphabet = \"z\" + \"abcdefghijklmnopqrstuvwxyz\"\n        s = list(s)\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                temp = s[i:j+1]\n                temp = [alphabet[alphabet.index(c)-1] for c in temp]\n                s[i:j+1] = temp\n                if \"\".join(s) < s:\n                    break\n            if \"\".join(s) < s:\n                break\n        return \"\".join(s)",
                "class Solution:\n    def smallestString(self, s: str) -> str:\n        n = len(s)\n        prev_char = 'z'\n        result = ''\n        for c in s:\n            if c > prev_char:\n                result += c\n                prev_char = c\n            else:\n                result += 'a'\n                prev_char = 'a'\n        return result"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\ndef gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\ndef gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = set()\n        last_digits = set()\n\n        for num in nums:\n            first_digit = int(str(num)[0])\n            last_digit = int(str(num)[-1])\n            first_digits.add(first_digit)\n            last_digits.add(last_digit)\n\n        for i in first_digits:\n            for j in last_digits:\n                if gcd(i, j) == 1:\n                    count += 1\n\n        return count * len(nums) * (len(nums) - 1) // 2\n\ndef gcd(x, y):\n    while y:\n        x, y = y, x % y\n    return x",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if self.gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\n    def gcd(self, x, y):\n        while y:\n            x, y = y, x % y\n        return x",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        def get_first_digit(num):\n            return int(str(num)[0])\n\n        def get_last_digit(num):\n            return int(str(num)[-1])\n\n        count = 0\n        first_digits = set()\n        last_digits = set()\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                first_digit = get_first_digit(nums[i])\n                last_digit = get_last_digit(nums[j])\n                if self.is_coprime(first_digit, last_digit):\n                    count += 1\n\n        return count\n\n    def is_coprime(self, x, y):\n        for i in range(2, min(x, y) + 1):\n            if x % i == 0 and y % i == 0:\n                return False\n        return True",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if self.gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\n    def gcd(self, a, b):\n        while b:\n            a, b = b, a % b\n        return a",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = set()\n        last_digits = set()\n\n        for i in range(len(nums)):\n            first_digit = str(nums[i])[0]\n            last_digit = str(nums[i])[-1]\n\n            if i > 0:\n                first_digits.add(first_digit)\n            if i < len(nums) - 1:\n                last_digits.add(last_digit)\n\n        for digit1 in first_digits:\n            for digit2 in last_digits:\n                if self.gcd(int(digit1), int(digit2)) == 1:\n                    count += 1\n\n        return count\n\n    def gcd(self, x, y):\n        while y:\n            x, y = y, x % y\n        return x",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\ndef gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\ndef gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a",
                "class Solution:\n    def countBeautifulPairs(self, nums: List[int]) -> int:\n        count = 0\n        first_digits = [int(str(num)[0]) for num in nums]\n        last_digits = [int(str(num)[-1]) for num in nums]\n\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if self.gcd(first_digits[i], last_digits[j]) == 1:\n                    count += 1\n\n        return count\n\n    def gcd(self, a, b):\n        while b:\n            a, b = b, a % b\n        return a"
            ],
            "pass1_list": [
                true,
                true,
                false,
                true,
                true,
                true,
                false,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * (n + 1), [0] * (n + 1)\n        count, max_len = 0, 0\n\n        for i in range(n):\n            count += 1 if nums[i] == i + 1 else -1\n            left[i + 1] = count\n\n        count = 0\n        for i in range(n - 1, -1, -1):\n            count += 1 if nums[i] == i + 1 else -1\n            right[i] = count\n\n        for i in range(n):\n            max_len = max(max_len, min(left[i], right[i]) + 1 + 2 * k)\n\n        return max_len",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * (n + 1), [0] * (n + 1)\n        count, max_len = 0, 0\n\n        for i in range(n):\n            count += 1 if nums[i] == nums[i - 1] else -1\n            left[i] = count\n            max_len = max(max_len, left[i] if left[i] > 0 else 0)\n\n        count = 0\n        for i in range(n - 1, -1, -1):\n            count += 1 if nums[i] == nums[i + 1] else -1\n            right[i] = count\n            max_len = max(max_len, right[i] if right[i] > 0 else 0)\n\n        dp = [0] * (n + 1)\n        for i in range(n):\n            dp[i + 1] = max(dp[i] + (left[i] == right[i]), left[i], right[i])\n\n        return max(dp[-1], k)",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        count = [0] * (n + 1)\n        for num in nums:\n            count[num] += 1\n\n        max_length = 0\n        for i in range(1, n + 1):\n            if count[i] > k:\n                continue\n            max_length = max(max_length, count[i] + k)\n\n        return max_length",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * (n + 1), [0] * (n + 1)\n        count, max_len = 0, 0\n\n        for i in range(n):\n            count += 1 if nums[i] == i + 1 else -1\n            left[i + 1] = count\n            if count == 0:\n                max_len = i + 1\n\n        count = 0\n        for i in range(n - 1, -1, -1):\n            count += 1 if nums[i] == i + 1 else -1\n            right[i] = count\n            if count == 0:\n                max_len = max(max_len, n - i - 1)\n\n        max_len = max(max_len, right[0] + left[0] - 1)\n        dp = [0] * (n + 1)\n        dp[0] = right[0]\n\n        for i in range(1, n + 1):\n            dp[i] = max(dp[i - 1], right[i] + left[i] - 1)\n            if i - k - 1 >= 0:\n                dp[i] = max(dp[i], dp[i - k - 1] + right[i] + left[i] - 1)\n            max_len = max(max_len, dp[i])\n\n        return max_len",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * n, [0] * n\n        count, max_len = 0, 0\n\n        for i in range(n):\n            if count < k:\n                left[i] = (left[i - 1] + 1) if i > 0 and nums[i] == nums[i - 1] else 1\n                count += 1 if i > 0 and nums[i] != nums[i - 1] else 0\n            else:\n                left[i] = 1\n\n        count = 0\n        for i in range(n - 1, -1, -1):\n            if count < k:\n                right[i] = (right[i + 1] + 1) if i < n - 1 and nums[i] == nums[i + 1] else 1\n                count += 1 if i < n - 1 and nums[i] != nums[i + 1] else 0\n            else:\n                right[i] = 1\n\n        for i in range(n):\n            max_len = max(max_len, left[i] + right[i] - 1)\n\n        return max_len",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * (n + 1), [0] * (n + 1)\n        count, max_len = 0, 0\n\n        for i in range(n):\n            count += 1 if nums[i] == i + 1 else -1\n            left[i + 1] = count\n            if count == 0:\n                max_len += 1\n\n        count = 0\n        for i in range(n - 1, -1, -1):\n            count += 1 if nums[i] == i + 1 else -1\n            right[i] = count\n\n        for i in range(n):\n            max_len = max(max_len, right[i] - left[i] + 1 + k)\n\n        return max_len",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * (n + 1), [0] * (n + 1)\n        count, max_len = 0, 0\n\n        for i in range(n):\n            if count < k:\n                left[i + 1] = left[i]\n                if nums[i] == i + 1:\n                    count += 1\n                    left[i + 1] += 1\n            else:\n                left[i + 1] = left[i] - 1\n\n            j = n - i - 1\n            if count <= k:\n                right[j] = right[j + 1]\n                if nums[j] == j + 1:\n                    count += 1\n                    right[j] += 1\n            else:\n                right[j] = right[j + 1] + 1\n\n            if i + 1 + j <= n and left[i + 1] + right[j] + count - (nums[i] == i + 1) - (nums[j] == j + 1) <= k:\n                max_len = max(max_len, left[i + 1] + right[j] + 1)\n\n        return max_len",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        count = [0] * (n + 1)\n        for num in nums:\n            count[num] += 1\n\n        max_len = 0\n        for i in range(1, n + 1):\n            if count[i] > 0:\n                left, right = 0, n - 1\n                while left < right:\n                    if count[left] < k and count[right] < k:\n                        break\n                    if count[left] >= k:\n                        count[left] -= k\n                        left += 1\n                    else:\n                        count[right] -= k\n                        right -= 1\n                max_len = max(max_len, right - left + 1)\n\n        return max_len",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * (n + 1), [0] * (n + 1)\n        freq = [0] * (n + 1)\n\n        for i in range(n):\n            freq[nums[i]] += 1\n\n        for i in range(n):\n            if freq[nums[i]] == 1:\n                left[i + 1] = left[i] + 1\n            else:\n                left[i + 1] = left[i]\n\n        for i in range(n - 1, -1, -1):\n            if freq[nums[i]] == 1:\n                right[i] = right[i + 1] + 1\n            else:\n                right[i] = right[i + 1]\n\n        ans = 0\n        for i in range(n):\n            if left[i] + right[i] + k >= n:\n                ans = max(ans, n - k)\n            else:\n                ans = max(ans, left[i] + right[i] + k)\n\n        return ans",
                "class Solution:\n    def longestEqualSubarray(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        left, right = [0] * n, [0] * n\n        count, max_len = 0, 0\n\n        for i in range(n):\n            if k >= 0:\n                count = (count + 1) if nums[i] == 1 else count\n                left[i] = count\n            else:\n                left[i] = -1\n\n        count = 0\n        for i in range(n - 1, -1, -1):\n            if k >= 0:\n                count = (count + 1) if nums[i] == n else count\n                right[i] = count\n            else:\n                right[i] = -1\n\n        for i in range(n):\n            if left[i] >= 0 and right[i] >= 0:\n                max_len = max(max_len, left[i] + right[i] + 1 - i - 1)\n            if k >= i:\n                max_len = max(max_len, left[i] + right[n - k + i - 1] + k - i)\n\n        return max_len"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(n + 1))\n\n        for query in queries:\n            lower_bound = query - x\n            inactive_servers = active_servers.copy()\n            for server_id in range(1, n + 1):\n                if server_requests[server_id]:\n                    server_last_request = server_requests[server_id][-1]\n                    if server_last_request < lower_bound:\n                        inactive_servers.discard(server_id)\n                    else:\n                        active_servers.discard(server_id)\n\n            result = len(inactive_servers)\n            active_servers.update(inactive_servers)\n\n            yield result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(n + 1))\n        result = []\n\n        for query in queries:\n            inactive_servers = set()\n            for server_id in active_servers:\n                if server_requests[server_id] and server_requests[server_id][-1] < query - x:\n                    inactive_servers.add(server_id)\n\n            for server_id in inactive_servers:\n                active_servers.remove(server_id)\n\n            result.append(len(inactive_servers))\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(n + 1))\n\n        for query in queries:\n            lower_bound = query - x\n            inactive_servers = active_servers.copy()\n            for server_id, times in enumerate(server_requests):\n                if times and times[-1] >= lower_bound:\n                    inactive_servers.discard(server_id)\n\n            active_servers = set(range(n + 1))\n            for server_id, times in enumerate(server_requests):\n                if times and times[0] <= query:\n                    active_servers.discard(server_id)\n\n            result = len(inactive_servers - active_servers)\n            yield result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(1, n + 1))\n\n        for query in queries:\n            lower_bound = query - x\n            upper_bound = query\n\n            for server_id, times in enumerate(server_requests):\n                if times:\n                    lb = bisect_left(times, lower_bound)\n                    ub = bisect_right(times, upper_bound)\n                    if lb <= ub:\n                        active_servers.discard(server_id)\n                else:\n                    active_servers.discard(server_id)\n\n            result.append(len(active_servers))\n\n            for server_id, times in enumerate(server_requests):\n                if times:\n                    idx = bisect.bisect_left(times, lower_bound)\n                    if idx:\n                        active_servers.add(server_id)\n                    idx = bisect.bisect_right(times, upper_bound)\n                    if idx < len(times):\n                        active_servers.add(server_id)\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(n + 1))\n        result = []\n\n        for query in queries:\n            lower_bound = query - x\n            for server_id, times in enumerate(server_requests):\n                if times and times[-1] < lower_bound:\n                    active_servers.discard(server_id)\n\n            result.append(len(active_servers))\n            active_servers = active_servers.union(set(range(n + 1)))\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(1, n + 1))\n\n        result = []\n        for query in queries:\n            inactive_servers = set()\n            for server_id in active_servers:\n                if server_requests[server_id]:\n                    if server_requests[server_id][-1] < query - x:\n                        inactive_servers.add(server_id)\n                    else:\n                        active_servers.remove(server_id)\n\n            result.append(len(inactive_servers) + (query - query % x))\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(n + 1))\n        result = []\n\n        for query in queries:\n            inactive_servers = set()\n            for server_id in active_servers:\n                if server_requests[server_id]:\n                    latest_request = server_requests[server_id][0]\n                    if latest_request <= query - x:\n                        inactive_servers.add(server_id)\n                    else:\n                        active_servers.remove(server_id)\n\n                server_requests[server_id].pop(0) if server_requests[server_id] and server_requests[server_id][0] <= query else None\n\n            result.append(len(inactive_servers))\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(1, n + 1))\n        result = []\n\n        for query in queries:\n            inactive_servers = set()\n            for server_id in active_servers:\n                if server_requests[server_id]:\n                    latest_request = server_requests[server_id][-1]\n                    if latest_request < query - x:\n                        inactive_servers.add(server_id)\n                else:\n                    inactive_servers.add(server_id)\n\n            active_servers -= inactive_servers\n            result.append(len(inactive_servers))\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(1, n + 1))\n        result = []\n\n        for query in queries:\n            inactive_servers = set()\n            for server_id in active_servers:\n                if server_requests[server_id]:\n                    latest_request = server_requests[server_id][-1]\n                    if latest_request < query - x:\n                        inactive_servers.add(server_id)\n                else:\n                    inactive_servers.add(server_id)\n\n            active_servers -= inactive_servers\n            result.append(len(inactive_servers))\n\n        return result",
                "class Solution:\n    def countServers(self, n: int, logs: List[List[int]], x: int, queries: List[int]) -> List[int]:\n        server_requests = [[] for _ in range(n + 1)]\n        for server_id, time in logs:\n            server_requests[server_id].append(time)\n\n        active_servers = set(range(n + 1))\n\n        for query in queries:\n            lower_bound = query - x\n            upper_bound = query\n\n            inactive_servers = active_servers.copy()\n            for server_id in range(1, n + 1):\n                if server_requests[server_id]:\n                    last_request = server_requests[server_id][-1]\n                    if lower_bound <= last_request <= upper_bound:\n                        inactive_servers.discard(server_id)\n\n            active_servers = set(range(n + 1))\n            for server_id in inactive_servers:\n                active_servers.discard(server_id)\n\n        return [len(inactive_servers) for inactive_servers in [inactive_servers]]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            from_pos = moveFrom[i]\n            to_pos = moveTo[i]\n            position_counts[to_pos] = position_counts.get(to_pos, 0) + position_counts[from_pos]\n            position_counts[from_pos] = 0\n\n        return sorted(position_counts.keys())",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            position_counts[moveTo[i]] = position_counts.get(moveTo[i], 0) + position_counts[moveFrom[i]]\n            position_counts[moveFrom[i]] = 0\n\n        return sorted(position_counts.keys())",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            from_position = moveFrom[i]\n            to_position = moveTo[i]\n            position_counts[to_position] = position_counts.get(to_position, 0) + position_counts[from_position]\n            position_counts[from_position] = 0\n\n        return sorted(position for position, count in position_counts.items() if count > 0)",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_count = {}\n        for num in nums:\n            position_count[num] = position_count.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            position_count[moveTo[i]] = position_count.get(moveTo[i], 0) + position_count[moveFrom[i]]\n            position_count[moveFrom[i]] = 0\n\n        return sorted(position_count.keys()) for position, count in position_count.items() if count > 0]",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n        \n        for i in range(len(moveFrom)):\n            position_counts[moveTo[i]] = position_counts.get(moveTo[i], 0) + position_counts[moveFrom[i]]\n            position_counts[moveFrom[i]] = 0\n        \n        return sorted(position_counts.keys()).filter(lambda x: position_counts[x] > 0)",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            position_counts[moveTo[i]] = position_counts.get(moveTo[i], 0) + position_counts[moveFrom[i]]\n            position_counts[moveFrom[i]] = 0\n\n        return sorted(position_counts.keys()) for position, count in position_counts.items() if count > 0]",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            position_counts[moveTo[i]] = position_counts.get(moveTo[i], 0) + position_counts[moveFrom[i]]\n            position_counts[moveFrom[i]] = 0\n\n        return sorted(position_counts.keys())",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_count = {}\n        for num in nums:\n            position_count[num] = position_count.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            position_count[moveTo[i]] = position_count.get(moveTo[i], 0) + position_count[moveFrom[i]]\n            position_count[moveFrom[i]] = 0\n\n        return sorted(position_count.keys())",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            from_pos = moveFrom[i]\n            to_pos = moveTo[i]\n            position_counts[to_pos] = position_counts.get(to_pos, 0) + position_counts[from_pos]\n            position_counts[from_pos] = 0\n\n        occupied_positions = sorted(position for position, count in position_counts.items() if count > 0)\n        return occupied_positions",
                "class Solution:\n    def relocateMarbles(self, nums: List[int], moveFrom: List[int], moveTo: List[int]) -> List[int]:\n        position_counts = {}\n        for num in nums:\n            position_counts[num] = position_counts.get(num, 0) + 1\n\n        for i in range(len(moveFrom)):\n            position_counts[moveTo[i]] = position_counts.get(moveTo[i], 0) + position_counts[moveFrom[i]]\n            position_counts[moveFrom[i]] = 0\n\n        return sorted(position_counts.keys()).filter(lambda x: position_counts[x] > 0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i + num2\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            bit = num1 & -num1\n            if bit + num2 > num1:\n                num1 -= bit\n            else:\n                num1 -= bit + num2\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i + num2\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        if num1 == num2:\n            return 1\n        ans = 1\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i\n            ans += 1\n        return ans",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        if num1 == num2:\n            return 1\n        ans = 1\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i\n            ans += 1\n        return ans",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i + num2\n            res += 1\n        return res",
                "class Solution:\n    def makeTheIntegerZero(self, num1: int, num2: int) -> int:\n        if num1 == 0:\n            return 0\n        if num2 < 0:\n            num2 = -num2\n        if num1 < num2:\n            return -1\n        res = 0\n        while num1 > 0:\n            i = 0\n            while 1 << i + 1 <= num1 - num2:\n                i += 1\n            num1 -= 1 << i\n            res += 1\n        return res"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        answer = []\n\n        for x, y in queries:\n            for i in indices:\n                if nums1[i] >= x and nums2[i] >= y:\n                    answer.append(nums1[i] + nums2[i])\n                    break\n            else:\n                answer.append(-1)\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(list(range(n)), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        pq = []\n        answer = []\n\n        for x, y in queries:\n            while pq and pq[0] < x:\n                heapq.heappop(pq)\n\n            idx = bisect.bisect_right(indices, -1, key=lambda i: nums1[i] < x)\n            if idx == n or nums2[indices[idx - 1]] < y:\n                ans = -1\n            else:\n                ans = nums1[indices[idx - 1]] + nums2[indices[idx - 1]]\n\n            while pq and nums2[indices[-1]] >= y:\n                idx = indices.pop()\n                heapq.heappush(pq, nums1[idx])\n\n            heapq.heappush(pq, ans)\n            answer.append(heapq.nlargest(1, pq)[0])\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        pq = []\n        answer = []\n\n        for x, y in queries:\n            while pq and pq[0] < x:\n                heapq.heappop(pq)\n\n            idx = bisect_left(indices, -1)\n            if idx < n and nums1[indices[idx]] >= x and nums2[indices[idx]] >= y:\n                answer.append(nums1[indices[idx]] + nums2[indices[idx]])\n            else:\n                answer.append(-1)\n\n            while idx < n and nums1[indices[idx]] >= x:\n                heapq.heappush(pq, nums2[indices[idx]])\n                idx += 1\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        pq = []\n        answer = []\n\n        for x, y in queries:\n            while pq and pq[0] < x:\n                heappop(pq)\n            idx = -1\n            for i in indices:\n                if nums1[i] >= x and nums2[i] >= y:\n                    if idx == -1 or nums1[i] + nums2[i] > nums1[idx] + nums2[idx]:\n                        idx = i\n                if pq and nums2[i] < pq[0]:\n                    break\n            if idx != -1:\n                heappush(pq, nums2[idx])\n                answer.append(nums1[idx] + nums2[idx])\n            else:\n                answer.append(-1)\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n\n        answer = []\n        for x, y in queries:\n            for j in indices:\n                if nums1[j] >= x and nums2[j] >= y:\n                    answer.append(nums1[j] + nums2[j])\n                    break\n            else:\n                answer.append(-1)\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = [[] for _ in range(n)]\n        for i in range(n):\n            indices[nums1[i] - 1].append(i)\n        \n        answer = []\n        for x, y in queries:\n            max_sum = -1\n            for idx in indices[x - 1]:\n                if nums2[idx] >= y:\n                    max_sum = max(max_sum, nums1[idx] + nums2[idx])\n            answer.append(max_sum)\n        \n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        pq = []\n        answer = []\n\n        for x, y in queries:\n            while pq and pq[0] < x:\n                heappop(pq)\n            idx = -1\n            while pq and nums1[indices[pq[0]]] >= x and nums2[indices[pq[0]]] >= y:\n                idx = indices[heappop(pq)]\n            if idx != -1:\n                answer.append(nums1[idx] + nums2[idx])\n            else:\n                answer.append(-1)\n            heappush(pq, indices.index(idx))\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        pq = []\n        answer = []\n\n        for x, y in queries:\n            while pq and pq[0] < x:\n                heapq.heappop(pq)\n\n            idx = -1\n            while pq and nums1[indices[pq[0]]] >= x and nums2[indices[pq[0]]] >= y:\n                idx = indices[heapq.heappop(pq)]\n\n            answer.append(idx + 1 if idx != -1 else -1)\n\n            heapq.heappush(pq, indices.index(idx))\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(range(n), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n        answer = []\n\n        for x, y in queries:\n            for i in indices:\n                if nums1[i] >= x and nums2[i] >= y:\n                    answer.append(nums1[i] + nums2[i])\n                    break\n            else:\n                answer.append(-1)\n\n        return answer",
                "class Solution:\n    def maximumSumQueries(self, nums1: List[int], nums2: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums1)\n        indices = sorted(list(range(n)), key=lambda i: (nums1[i], nums2[i]), reverse=True)\n\n        def binary_search(arr, target):\n            left, right = 0, len(arr) - 1\n            while left <= right:\n                mid = (left + right) // 2\n                if arr[mid] < target:\n                    left = mid + 1\n                else:\n                    right = mid - 1\n            return left\n\n        answer = []\n        for query in queries:\n            x, y = query\n            idx = binary_search(nums1, x)\n            if idx < n and nums2[indices[idx]] >= y:\n                answer.append(nums1[indices[idx]] + nums2[indices[idx]])\n            else:\n                answer.append(-1)\n\n        return answer"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if i % n == 0)",
                "class Solution:\n    def sumOfSquares(self, nums: List[int]) -> int:\n        n = len(nums)\n        return sum(nums[i] ** 2 for i in range(1, n + 1) if n % i == 0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = max(nums1_max, nums[i])\n                nums2_min = min(nums2_min, nums[i - 1])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            candidate1 = nums[i]\n            candidate2 = nums[-1 - i]\n            if candidate1 - candidate2 < nums1_max - nums2_min:\n                nums1_max = candidate1\n                nums2_min = candidate2\n        return nums1_max - nums2_min",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = min(nums1_max, nums[i])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = min(nums1_max, nums[i])\n                nums2_min = min(nums2_min, nums[i - 1])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = min(nums1_max, nums[i])\n                nums2_min = min(nums2_min, nums[i - 1])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = max(nums1_max, nums[i])\n                nums2_min = min(nums2_min, nums[i - 1])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = max(nums1_max, nums[i])\n                nums2_min = min(nums2_min, nums[i - 1])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            else:\n                nums1_max = max(nums1_max, nums[i])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            elif nums[i] - nums[i - 1] == nums2_min - nums1_max:\n                nums1_max = min(nums1_max, nums[i])\n                nums2_min = min(nums2_min, nums[i - 1])\n        return nums2_min - nums1_max",
                "class Solution:\n    def findValueOfPartition(self, nums: List[int]) -> int:\n        nums.sort()\n        nums1_max = nums[0]\n        nums2_min = nums[-1]\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] < nums2_min - nums1_max:\n                nums1_max = nums[i - 1]\n                nums2_min = nums[i]\n            else:\n                nums1_max = max(nums1_max, nums[i])\n        return nums2_min - nums1_max"
            ],
            "pass1_list": [
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        reversed_words = {word[::-1] for word in words}\n        pairs = 0\n        for word in words:\n            if word in reversed_words:\n                pairs += 1\n                reversed_words.remove(word)\n        return pairs",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in words and word < reversed_word:\n                pairs.add(word + reversed_word)\n                count += 1\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in pairs:\n                count += 1\n                pairs.remove(reversed_word)\n            else:\n                pairs.add(word)\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in pairs:\n                count += 1\n                pairs.remove(reversed_word)\n            else:\n                pairs.add(word)\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in words and word < reversed_word:\n                pairs.add(word + reversed_word)\n        return len(pairs)",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in pairs:\n                count += 1\n                pairs.remove(reversed_word)\n            else:\n                pairs.add(word)\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in words and word < reversed_word:\n                pairs.add(word + reversed_word)\n                count += 1\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in words and word < reversed_word:\n                pairs.add(word + reversed_word)\n                count += 1\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in words and word < reversed_word:\n                pairs.add(word + reversed_word)\n                count += 1\n        return count",
                "class Solution:\n    def maximumNumberOfStringPairs(self, words: List[str]) -> int:\n        count = 0\n        pairs = set()\n        for word in words:\n            reversed_word = word[::-1]\n            if reversed_word in pairs:\n                count += 1\n                pairs.remove(reversed_word)\n            else:\n                pairs.add(word)\n        return count"
            ],
            "pass1_list": [
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        nums.sort()\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][0] = 1\n        for mask in range(1 << n - 1):\n            for i in range(n):\n                if mask & (1 << i) == 0:\n                    continue\n                for j in range(n):\n                    if i != j and nums[j] % nums[i] == 0:\n                        dp[mask | (1 << j)][j] = (dp[mask | (1 << j)][j] + dp[mask][i]) % mod\n        ans = 0\n        for i in range(n):\n            ans = (ans + dp[(1 << n) - 1][i]) % mod\n        return ans",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][-1] = 1\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask >> i & 1:\n                    for j in range(i):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask][i] = (dp[mask][i] + dp[mask ^ 1 << i][j]) % mod\n\n        return sum(dp[(1 << n) - 1]) % mod",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        nums.sort()\n        dp = [1] * n\n\n        for i in range(n):\n            for j in range(i):\n                if nums[i] % nums[j] == 0 or nums[j] % nums[i] == 0:\n                    dp[i] = (dp[i] + dp[j]) % mod\n\n        return sum(dp) % mod",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][-1] = 1\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask >> i & 1:\n                    for j in range(i + 1, n):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask][j] = (dp[mask][j] + dp[mask ^ 1 << i][i]) % mod\n\n        return dp[(1 << n) - 1][-1]",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        nums.sort()\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][0] = 1\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask >> i & 1:\n                    for j in range(i):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask][i] += dp[mask ^ (1 << i)][j]\n                            dp[mask][i] %= mod\n\n        return dp[(1 << n) - 1][-1]",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][-1] = 1\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask >> i & 1:\n                    for j in range(i + 1, n):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask][j] = (dp[mask][j] + dp[mask ^ 1 << i][i]) % mod\n\n        return sum(dp[(1 << n) - 1]) % mod",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        nums.sort()\n        dp = [1] * n\n\n        for i in range(n):\n            for j in range(i):\n                if nums[i] % nums[j] == 0 or nums[j] % nums[i] == 0:\n                    dp[i] = (dp[i] + dp[j]) % mod\n\n        return sum(dp) % mod",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        nums.sort()\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][0] = 1\n        for mask in range(1 << n - 1):\n            for i in range(n):\n                if mask & (1 << i) == 0:\n                    for j in range(i + 1, n):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask | (1 << j)][j] += dp[mask][i]\n                            dp[mask | (1 << j)][j] %= mod\n        return sum(dp[(1 << n) - 1]) % mod",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][0] = 1\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask >> i & 1:\n                    for j in range(i + 1, n):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask][j] = (dp[mask][j] + dp[mask ^ 1 << i][i]) % mod\n\n        return dp[(1 << n) - 1][n - 1]",
                "class Solution:\n    def specialPerm(self, nums: List[int]) -> int:\n        n = len(nums)\n        mod = 10**9 + 7\n        dp = [[0] * n for _ in range(1 << n)]\n        dp[0][0] = 1\n\n        for mask in range(1 << n):\n            for i in range(n):\n                if mask >> i & 1:\n                    for j in range(i + 1, n):\n                        if nums[j] % nums[i] == 0 or nums[i] % nums[j] == 0:\n                            dp[mask][j] = (dp[mask][j] + dp[mask ^ 1 << i][i]) % mod\n\n        return dp[(1 << n) - 1][n - 1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        unique_nums = sorted(set(nums))\n        count = [0] * (n + 1)\n        for num in nums:\n            count[num] += 1\n\n        imbalance = 0\n        for i in range(len(unique_nums) - 1):\n            num = unique_nums[i]\n            next_num = unique_nums[i + 1]\n            imbalance_count = count[num] * (next_num - num - 1)\n            for j in range(num, next_num):\n                imbalance_count -= count[j]\n            imbalance += (\n                prefix_sum[n] - prefix_sum[num] + num * count[num] - imbalance_count\n            )\n\n        return imbalance",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        imbalance_count = [0] * n\n        for i in range(n - 1):\n            if sorted_nums[i + 1] - sorted_nums[i] > 1:\n                imbalance_count[i] = 1\n\n        ans = 0\n        for i in range(n):\n            left = nums[:i].index(sorted_nums[i]) if sorted_nums[i] in nums[:i] else 0\n            right = nums[i + 1 :].index(sorted_nums[i]) + i + 1 if sorted_nums[i] in nums[i + 1 :] else n\n            ans += prefix_sum[right] - prefix_sum[left] - (i - left) * nums[left] - (right - i - 1) * nums[i]\n\n        return ans",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        unique_nums = list(set(nums))\n        count = [0] * (n + 1)\n\n        for num in unique_nums:\n            count[num] = sorted_nums.count(num)\n\n        imbalance = 0\n        for i in range(n):\n            imbalance += (count[nums[i]] - 1) * (prefix_sum[i] - nums[i])\n\n        return imbalance",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        count = [0] * n\n        for i in range(n - 1):\n            if sorted_nums[i + 1] - sorted_nums[i] > 1:\n                count[i] = 1\n\n        ans = 0\n        for i in range(n):\n            l = count[max(0, i - sorted_nums[i])]\n            r = count[min(n - 1, i + n - sorted_nums[i] - 1)]\n            ans += prefix_sum[i + 1] * (prefix_sum[-1] - prefix_sum[i + 1]) - l * prefix_sum[i] * (prefix_sum[i + 1] - prefix_sum[l + i + 1]) - r * (prefix_sum[-1] - prefix_sum[i + r + 1]) * (prefix_sum[i + 1] - prefix_sum[i])\n        return ans",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        count = [0] * n\n        for i in range(n - 1):\n            if sorted_nums[i + 1] - sorted_nums[i] > 1:\n                count[i] = 1\n\n        ans = 0\n        for i in range(n):\n            left = count[max(0, i - nums[i] + 1):i]\n            ans += sum(left) * (n - nums[i])\n            ans += prefix_sum[i] - prefix_sum[max(0, i - nums[i] + 1)]\n\n        return ans",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        unique_nums = list(set(sorted_nums))\n        count = [0] * (n + 1)\n        for num in sorted_nums:\n            count[num] += 1\n\n        imbalance = 0\n        for i in range(len(unique_nums) - 1):\n            num = unique_nums[i]\n            next_num = unique_nums[i + 1]\n            imbalance += (next_num - num - 1) * count[num] * (prefix_sum[n] - prefix_sum[num])\n\n        return imbalance",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        count = [0] * n\n        for i in range(n - 1):\n            if sorted_nums[i + 1] - sorted_nums[i] > 1:\n                count[i] = 1\n\n        ans = 0\n        for i in range(n):\n            l = count[max(0, i - nums[i] + 1)]\n            r = count[min(n - 1, i + n - nums[i])]\n            ans += prefix_sum[i + 1] - prefix_sum[i] - prefix_sum[n] + prefix_sum[l + 1] - prefix_sum[r + 1]\n\n        return ans",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        count = [0] * n\n        for i in range(n - 1):\n            if sorted_nums[i + 1] - sorted_nums[i] > 1:\n                count[i] = 1\n\n        ans = 0\n        for i in range(n):\n            left = count[max(0, i - sorted_nums[i])]\n            right = count[min(n - 1, i + n - sorted_nums[i] - 1)]\n            ans += prefix_sum[i + 1] - prefix_sum[i] - (prefix_sum[n] - prefix_sum[i + 1] - prefix_sum[i]) * (left + right)\n\n        return ans",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        count = [0] * n\n        for i in range(n - 1):\n            if sorted_nums[i + 1] - sorted_nums[i] > 1:\n                count[i] = 1\n\n        ans = 0\n        for i in range(n):\n            left = count[max(0, i - sorted_nums[i])]\n            right = count[min(n - 1, i + n - sorted_nums[i] - 1)]\n            ans += prefix_sum[i + 1] * (prefix_sum[n] - prefix_sum[i + 1]) - left * prefix_sum[i] - right * (prefix_sum[n] - prefix_sum[i + 1])\n\n        return ans",
                "class Solution:\n    def sumImbalanceNumbers(self, nums: List[int]) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        sorted_nums = sorted(nums)\n        unique_nums = list(set(nums))\n        count = [0] * (n + 1)\n        for num in nums:\n            count[num] += 1\n\n        imbalance = 0\n        for i in range(len(unique_nums) - 1):\n            num = unique_nums[i]\n            next_num = unique_nums[i + 1]\n            imbalance_count = count[num] * (next_num - num - 1)\n            imbalance += (prefix_sum[next_num] - prefix_sum[num] + 1) * imbalance_count\n\n        return imbalance"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(aa, bb, ab):\n            s = \"\"\n            for i in range(aa):\n                s += \"AA\"\n            for i in range(bb):\n                s += \"BB\"\n            for i in range(ab):\n                s += \"AB\"\n            return s\n        \n        max_len = 0\n        for i in range(x + 1):\n            for j in range(y + 1):\n                for k in range(z + 1):\n                    if \"AAA\" not in check(i, j, k) and \"BBB\" not in check(i, j, k):\n                        max_len = max(max_len, 2 * (i + j) + k)\n        return max_len",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(AA, BB, AB):\n            count_A = 2 * AA + AB\n            count_B = 2 * BB + AB\n            s = AB * (AB > 0) + \"A\" * (count_A > 0) + \"B\" * (count_B > 0)\n            return not (\"AAA\" in s or \"BBB\" in s)\n\n        max_len = 0\n        for AA in range(x + 1):\n            for BB in range(y + 1):\n                for AB in range(z + 1):\n                    if check(AA, BB, AB):\n                        max_len = max(max_len, 2 * (AA + BB) + AB)\n        return max_len",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(aa, bb, ab):\n            return (aa + bb) * 2 + ab if (aa + bb) * 2 + ab >= 14 or (aa + ab) * 2 + bb if (aa + ab) * 2 + bb >= 14 else (aa + bb) * 2 + ab if (aa + bb) % 2 == 0 else (aa + ab) * 2 + bb\n\n        return max(check(x - i, y - j, z - k) for i in range(x + 1) for j in range(y + 1) for k in range(z + 1) if i + j + k <= 2 * (x + y + z) // 3)",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(aa, bb, ab):\n            s = \"\"\n            for i in range(aa):\n                s += \"AA\"\n            for i in range(bb):\n                s += \"BB\"\n            for i in range(ab):\n                s += \"AB\"\n            return s\n        \n        max_len = 0\n        for i in range(x + 1):\n            for j in range(y + 1):\n                for k in range(z + 1):\n                    if \"AAA\" not in check(i, j, k) and \"BBB\" not in check(i, j, k):\n                        max_len = max(max_len, 2 * (i + j + k) + min(i, j) + min(i, k) + min(j, k))\n        return max_len",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(a, b, c):\n            if a > 2:\n                a -= 3\n            if b > 2:\n                b -= 3\n            return a * 2 + b * 2 + z * 2\n\n        max_len = max(check(x - 1, y, z), check(x, y - 1, z), check(x, y, z - 1))\n        return max_len",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(a, b, c):\n            if a > 2:\n                return False\n            if b > 2:\n                return False\n            for i in range(len(s)):\n                if i + 2 < len(s) and s[i:i+3] in {\"AAA\", \"BBB\"}:\n                    return False\n            return True\n\n        def dfs(a, b, c):\n            if a < 0 or b < 0 or c < 0:\n                return 0\n            if a == 0 and b == 0 and c == 0:\n                return 0\n            if check(a, b, c):\n                return 2 * a + 2 * b + c\n            return max(\n                dfs(a - 1, b, c),\n                dfs(a, b - 1, c),\n                dfs(a, b, c - 1),\n                dfs(a - 1, b - 1, c + 1),\n                dfs(a - 1, b, c - 1),\n                dfs(a, b - 1, c + 1),\n            )\n\n        s = [\"AA\", \"BB\", \"AB\"]\n        return dfs(x, y, z)",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(a, b, c):\n            if a > 2 and b == 0 and c == 0:\n                return False\n            if b > 2 and a == 0 and c == 0:\n                return False\n            return True\n\n        ans = 0\n        for a in range(x + 1):\n            for b in range(y + 1):\n                for c in range(z + 1):\n                    if check(a, b, c):\n                        ans = max(ans, 2 * (a + b) + c)\n        return ans",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(a, b, c):\n            if a > 0 and b > 0 and (c + 2 * a >= 3 or c + 2 * b >= 3):\n                return False\n            return True\n\n        def dfs(a, b, c):\n            if not check(a, b, c):\n                return 0\n            if a == 0 and b == 0 and c == 0:\n                return 0\n            ans = 0\n            if a > 0:\n                ans = max(ans, 2 + dfs(a - 1, b, c + 1))\n            if b > 0:\n                ans = max(ans, 2 + dfs(a, b - 1, c + 1))\n            if c > 0:\n                ans = max(ans, 1 + dfs(a, b, c - 1))\n            return ans\n\n        return dfs(x, y, z)",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(a, b, c):\n            if a > 0 and c > 0 and (a + c) % 2 == 0:\n                return False\n            if b > 0 and c > 0 and (b + c) % 2 == 0:\n                return False\n            return True\n\n        ans = 0\n        for i in range(x + 1):\n            for j in range(y + 1):\n                for k in range(z + 1):\n                    if check(i, j, k):\n                        ans = max(ans, 2 * (i + j) + k)\n        return ans",
                "class Solution:\n    def longestString(self, x: int, y: int, z: int) -> int:\n        def check(aa, bb, ab):\n            s = \"\"\n            for i in range(aa):\n                s += \"AA\"\n            for i in range(bb):\n                s += \"BB\"\n            for i in range(ab):\n                s += \"AB\"\n            return s\n        \n        max_len = 0\n        for i in range(x + 1):\n            for j in range(y + 1):\n                for k in range(z + 1):\n                    if \"AAA\" not in check(i, j, k) and \"BBB\" not in check(i, j, k):\n                        max_len = max(max_len, 2 * (i + j + k) + min(i, j) + min(i, k) + min(j, k))\n        return max_len"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        def join(x, y):\n            if x[-1] == y[0]:\n                return x + y[1:]\n            else:\n                return x + y\n\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                dp[i] = min(dp[i], len(words[i]) + dp[j] - (2 if words[i][0] == words[j][-1] else 0))\n                dp[i] = min(dp[i], len(words[i]) + join(words[j], words[i])[1:])\n                dp[i] = min(dp[i], len(join(words[i], words[j])) + dp[j] - (2 if words[i][-1] == words[j][-1] else 0))\n\n        return dp[n - 1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        def join(x, y):\n            if x[-1] == y[0]:\n                return x + y[1:]\n            return x + y\n\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                dp[i] = min(dp[i], dp[j] + len(words[i]) - (1 if words[j][-1] == words[i][0] else 0))\n                dp[i] = min(dp[i], len(words[j]) + len(words[i]) - (1 if join(words[j], words[i]) == words[j] + words[i]))\n\n        return dp[-1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                first = words[i] + words[j]\n                if words[i][0] == words[j][-1]:\n                    first = words[i] + words[j][:-1]\n                second = words[j] + words[i]\n                if words[j][-1] == words[i][0]:\n                    second = words[j] + words[i][1:]\n                dp[i] = min(dp[i], len(first) + dp[j])\n                dp[i] = min(dp[i], len(second) + dp[j])\n\n        return dp[n - 1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                first = words[i] + words[j]\n                if words[i][0] == words[j][-1]:\n                    first = words[i] + words[j][:-1]\n                second = words[j] + words[i]\n                if words[j][-1] == words[i][0]:\n                    second = words[j] + words[i][1:]\n                dp[i] = min(dp[i], dp[j] + len(first))\n                dp[i] = min(dp[i], dp[j] + len(second))\n\n        return dp[n - 1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                first = words[i] + words[j]\n                if first[-1] == words[j][0]:\n                    first = first[:-1]\n\n                second = words[j] + words[i]\n                if second[-1] == words[i][0]:\n                    second = second[:-1]\n\n                dp[i] = min(dp[i], dp[j] + len(first))\n\n            dp[i] = min(dp[i], len(words[i]) + dp[i - 1])\n\n        return dp[n - 1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                first = words[i] + words[j]\n                if words[i][0] == words[j][-1]:\n                    first = words[i] + words[j][:-1]\n                second = words[j] + words[i]\n                if words[j][-1] == words[i][0]:\n                    second = words[j] + words[i][1:]\n                dp[i] = min(dp[i], dp[j] + len(first), dp[j] + len(second))\n\n        return dp[n - 1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                first = words[i] + words[j]\n                if words[i][0] == words[j][-1]:\n                    first = words[i] + words[j][:-1]\n                second = words[j] + words[i]\n                if words[j][-1] == words[i][0]:\n                    second = words[j] + words[i][1:]\n                dp[i] = min(dp[i], dp[j] + len(first), dp[j] + len(second))\n\n        return dp[n - 1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                if words[i][0] == words[j][-1]:\n                    dp[i] = min(dp[i], dp[j] + len(words[i]) - 1)\n                else:\n                    dp[i] = min(dp[i], dp[j] + len(words[i]))\n\n        return dp[-1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        def join(x, y):\n            if x[-1] == y[0]:\n                return x + y[1:]\n            else:\n                return x + y\n\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                dp[i] = min(dp[i], dp[j] + len(words[i]) - (1 if words[j][-1] == words[i][0] else 0))\n                dp[i] = min(dp[i], len(words[j]) + len(words[i]) - (1 if join(words[j], words[i]) == words[j] + words[i]))\n\n        return dp[-1]",
                "class Solution:\n    def minimizeConcatenatedLength(self, words: List[str]) -> int:\n        n = len(words)\n        dp = [float('inf')] * n\n        dp[0] = len(words[0])\n\n        for i in range(1, n):\n            for j in range(i):\n                if words[i][0] == words[j][-1]:\n                    dp[i] = min(dp[i], dp[j] + len(words[i]) - 1)\n                else:\n                    dp[i] = min(dp[i], dp[j] + len(words[i]))\n\n        return dp[n - 1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            mx, mx_j = 0, 0\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    tmp = dj[j] + 1\n                    if tmp > mx:\n                        mx = tmp\n                        mx_j = j\n            dp[idx] = mx\n            dj[idx] = mx_j\n            return mx\n\n        if helper(0) == 0:\n            return -1\n\n        q = [0]\n        while q:\n            idx = q.pop()\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    if dp[j] < dp[idx] + 1:\n                        dp[j] = dp[idx] + 1\n                        dj[j] = idx\n                        if j == n - 1:\n                            return dp[j] - 1\n                        q.append(j)\n        return dp[n - 1] - 1",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            mx, mx_j = 0, 0\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    tmp = dj[j] + 1\n                    if tmp > mx:\n                        mx = tmp\n                        mx_j = j\n            dp[idx] = mx\n            dj[idx] = mx_j\n            return mx\n\n        if helper(0) == 0:\n            return -1\n\n        q = [0]\n        while q:\n            idx = q.pop(0)\n            for i in range(idx + 1, n):\n                if -target <= nums[i] - nums[idx] <= target:\n                    if dp[i] < dp[idx] + 1:\n                        dp[i] = dp[idx] + 1\n                        dj[i] = idx\n                        q.append(i)\n\n        return dp[n - 1]",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            mx, mx_j = 0, 0\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    tmp = dj[j] + 1\n                    if tmp > mx:\n                        mx = tmp\n                        mx_j = j\n            dp[idx] = mx\n            dj[idx] = mx_j\n            return mx\n\n        if helper(0) == 0:\n            return -1\n\n        stk = [0]\n        steps = 0\n        while stk:\n            steps += 1\n            nxt = stk.pop()\n            i = n - 1\n            while i > nxt:\n                i = dj[i]\n            stk.append(i)\n\n        return steps",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(index):\n            if index == n - 1:\n                return 1\n            dp[index] = -1\n            for j in range(index + 1, n):\n                if -target <= nums[j] - nums[index] <= target:\n                    dj[j] = max(dj[j], dp[index] + 1)\n                    dp[j] = max(dp[j], dj[j])\n            dp[index] = max(dp[index], max(dj[index + 1:]))\n            return dp[index]\n\n        return helper(0) if helper(0) != -1 else -1",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            dp[idx] = -1\n            for i in range(idx + 1, n):\n                if -target <= nums[i] - nums[idx] <= target:\n                    dj[i] = max(dj[i], dj[idx] + 1)\n                    if dp[idx] == -1 or dp[i] < dj[i]:\n                        dp[i] = dj[i]\n                        if dp[i] == n - 1:\n                            break\n            return dp[idx]\n\n        helper(0)\n        return dp[-1]",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            mx = -1\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    mx = max(mx, dj[j])\n            dp[idx] = mx + 1 if mx != -1 else -1\n            return mx + 1 if mx != -1 else -1\n\n        for i in range(n - 2, -1, -1):\n            mx = -1\n            for j in range(i + 1, n):\n                if -target <= nums[j] - nums[i] <= target:\n                    mx = max(mx, dp[j])\n            dj[i] = mx\n\n        return dp[0]",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(index):\n            if index == n - 1:\n                return 1\n            dp[index] = -1\n            for j in range(index + 1, n):\n                if -target <= nums[j] - nums[index] <= target:\n                    dj[j] = max(dj[j], dj[index] + 1)\n                    if dp[j] == 0:\n                        dp[j] = helper(j)\n                    dp[index] = max(dp[index], dp[j])\n            return dp[index]\n\n        return helper(0)",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            mx = -1\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    mx = max(mx, dj[j])\n            dp[idx] = mx + 1 if mx != -1 else mx\n            return mx != -1\n\n        for i in range(n - 2, -1, -1):\n            if helper(i):\n                dj[i] = max(dj[i], dj[i + 1] + 1)\n\n        return dp[0] - 1",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [1] * n\n        dj = [1] * n\n\n        def helper(idx):\n            if idx == n - 1:\n                return 1\n            mx = -1\n            for j in range(idx + 1, n):\n                if -target <= nums[j] - nums[idx] <= target:\n                    mx = max(mx, dj[j])\n            dp[idx] = mx + 1 if mx != -1 else mx\n            return dp[idx]\n\n        for i in range(n - 2, -1, -1):\n            for j in range(i + 1, n):\n                if -target <= nums[j] - nums[i] <= target:\n                    dj[i] = max(dj[i], 1 + dj[j])\n\n        return dp[0] if dp[0] != 0 else -1",
                "class Solution:\n    def maximumJumps(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        dp = [-1] * n\n        dp[0] = 0\n\n        def helper(index):\n            if index == n - 1:\n                return 0\n            max_jumps = -1\n            for i in range(index + 1, n):\n                if -target <= nums[i] - nums[index] <= target:\n                    if dp[i] == -1:\n                        dp[i] = helper(i)\n                    max_jumps = max(max_jumps, dp[i])\n            return max_jumps + 1\n\n        return helper(0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        total_distinct = len(set(nums))\n        distinct_count = Counter(nums[0])\n        count += (total_distinct == len(distinct_count))\n\n        for i in range(1, len(nums)):\n            distinct_count[nums[i]] += 1\n            total_distinct = min(total_distinct, len(distinct_count))\n            count += (total_distinct == len(distinct_count))\n\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        counter = Counter(nums)\n        distinct_count = len(counter)\n        total_subarrays = len(nums) * (len(nums) + 1) // 2\n        complete_subarrays = 0\n\n        for i in range(len(nums)):\n            counter[nums[i]] -= 1\n            if counter[nums[i]] == 0:\n                distinct_count -= 1\n            while distinct_count == len(counter):\n                complete_subarrays += 1\n                counter[nums[i + 1]] += 1\n                if counter[nums[i + 1]] == 1:\n                    distinct_count += 1\n                i += 1\n\n        return complete_subarrays",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        total_distinct = len(set(nums))\n        distinct_count = Counter(nums[0])\n        count += (len(distinct_count) == total_distinct) * (len(nums) - 1)\n\n        for i in range(1, len(nums)):\n            distinct_count[nums[i]] += 1\n            while len(distinct_count) > total_distinct:\n                distinct_count[nums[i - 1]] -= 1\n                if distinct_count[nums[i - 1]] == 0:\n                    del distinct_count[nums[i - 1]]\n            count += len(distinct_count) == total_distinct\n\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        unique_elements = len(count)\n        total_subarrays = 0\n        subarray_count = 0\n\n        for i in range(len(nums)):\n            count[nums[i]] -= 1\n            if count[nums[i]] == 0:\n                unique_elements -= 1\n            while unique_elements == len(count):\n                subarray_count += 1\n                count[nums[i + 1]] += 1\n                if count[nums[i + 1]] == 1:\n                    unique_elements += 1\n                i += 1\n            total_subarrays += subarray_count\n            subarray_count = 0\n\n        return total_subarrays",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        total_distinct = len(set(nums))\n        distinct_count = Counter(nums[0])\n        count += (total_distinct == len(distinct_count))\n        for i in range(1, len(nums)):\n            distinct_count[nums[i]] += 1\n            while len(distinct_count) > total_distinct:\n                distinct_count[nums[i - 1]] -= 1\n                if distinct_count[nums[i - 1]] == 0:\n                    del distinct_count[nums[i - 1]]\n            count += (total_distinct == len(distinct_count))\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        total_distinct = len(set(nums))\n        distinct_count = Counter(nums[0])\n        count += (len(distinct_count) == total_distinct) * (len(nums) - 1)\n\n        for i in range(1, len(nums)):\n            distinct_count[nums[i]] += 1\n            while len(distinct_count) > total_distinct:\n                distinct_count[nums[i - 1]] -= 1\n                if distinct_count[nums[i - 1]] == 0:\n                    del distinct_count[nums[i - 1]]\n            count += len(distinct_count) == total_distinct\n\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        counter = Counter(nums)\n        distinct_count = len(counter)\n        total_subarrays = len(nums) * (len(nums) + 1) // 2\n        count = 0\n\n        for i in range(len(nums)):\n            counter[nums[i]] -= 1\n            if counter[nums[i]] >= 0:\n                distinct_count -= 1\n            while distinct_count < len(counter):\n                counter[nums[i + 1]] += 1\n                if counter[nums[i + 1]] > 0:\n                    distinct_count += 1\n                i += 1\n            count += total_subarrays - i - 1\n\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        total_distinct = len(set(nums))\n        distinct_count = Counter(nums[0])\n        count += (len(distinct_count) == total_distinct) * (len(nums) - 1)\n\n        for i in range(1, len(nums)):\n            distinct_count[nums[i]] += 1\n            while len(distinct_count) > total_distinct:\n                distinct_count[nums[i - 1]] -= 1\n                if distinct_count[nums[i - 1]] == 0:\n                    del distinct_count[nums[i - 1]]\n            count += len(distinct_count) == total_distinct\n\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        distinct_count = Counter(nums)\n        distinct_elements = len(distinct_count)\n\n        for i in range(len(nums)):\n            j = i\n            temp_dict = {}\n            while j < len(nums):\n                temp_dict[nums[j]] = temp_dict.get(nums[j], 0) + 1\n                if len(temp_dict) == distinct_elements:\n                    count += 1\n                j += 1\n\n        return count",
                "class Solution:\n    def countCompleteSubarrays(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = 0\n        distinct_count = Counter(nums)\n        distinct_elements = len(distinct_count)\n\n        for i in range(len(nums)):\n            distinct_count[nums[i]] -= 1\n            if distinct_count[nums[i]] == 0:\n                distinct_elements -= 1\n\n            for j in range(i, len(nums)):\n                distinct_count[nums[j]] += 1\n                if distinct_count[nums[j]] == 1:\n                    distinct_elements += 1\n\n                if distinct_elements == len(set(nums[:j+1])):\n                    count += 1\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 50\n            if additionalTank > 0:\n                mainTank += additionalTank // 5\n                additionalTank = additionalTank % 5\n            else:\n                mainTank -= 5\n        return total_distance + (mainTank * 10)",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 50\n            if additionalTank > 0:\n                mainTank += additionalTank // 5\n                additionalTank = additionalTank % 5\n            else:\n                mainTank -= 5\n        return total_distance + (mainTank * 10)",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 50\n            mainTank -= 5\n            if mainTank > 0 and additionalTank > 0:\n                mainTank += 1\n                additionalTank -= 1\n        return total_distance + (mainTank * 10)",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 5\n            mainTank -= 5\n            if mainTank > 0 and additionalTank > 0:\n                mainTank += 1\n                additionalTank -= 1\n        return total_distance * 10",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 5\n            mainTank -= 5\n            if mainTank > 0 and additionalTank > 0:\n                mainTank += 1\n                additionalTank -= 1\n        return total_distance * 10",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 50\n            if additionalTank > 0:\n                mainTank += additionalTank // 5\n                additionalTank = additionalTank % 5\n            else:\n                mainTank -= 5\n        return total_distance + (mainTank * 10)",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 5\n            mainTank -= 5\n            if mainTank > 0 and additionalTank > 0:\n                mainTank += 1\n                additionalTank -= 1\n        return total_distance * 10",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 5\n            mainTank -= 5\n            if mainTank > 0 and additionalTank > 0:\n                mainTank += 1\n                additionalTank -= 1\n        return total_distance * 10",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 5\n            mainTank -= 5\n            if mainTank > 0 and additionalTank > 0:\n                mainTank += 1\n                additionalTank -= 1\n        return total_distance * 10",
                "class Solution:\n    def distanceTraveled(self, mainTank: int, additionalTank: int) -> int:\n        total_distance = 0\n        while mainTank > 0:\n            total_distance += 50\n            if additionalTank > 0 and mainTank <= 4:\n                mainTank = 5\n                additionalTank -= 1\n            else:\n                mainTank -= 5\n        return total_distance + mainTank * 10"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[j - 1] % 2:\n                        break\n                    max_len = max(max_len, j - i + 1)\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[i] % 2:\n                        break\n                    if j + 1 == len(nums) or nums[j + 1] > threshold or nums[j + 1] % 2 == nums[j] % 2:\n                        max_len = max(max_len, j - i + 1)\n                        break\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[i] % 2:\n                        break\n                    if j + 1 == len(nums) or nums[j + 1] > threshold or nums[j + 1] % 2 == nums[j] % 2:\n                        max_len = max(max_len, j - i + 1)\n                        break\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: list[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold:\n                        break\n                    if j == len(nums) - 1 or nums[j] % 2 == nums[j + 1] % 2:\n                        max_len = max(max_len, j - i + 1)\n                        break\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[j - 1] % 2:\n                        break\n                    max_len = max(max_len, j - i + 1)\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[i] % 2:\n                        break\n                    if j + 1 == len(nums) or nums[j + 1] > threshold or nums[j + 1] % 2 == nums[j] % 2:\n                        max_len = max(max_len, j - i + 1)\n                        break\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[i] % 2:\n                        break\n                    if j + 1 < len(nums) and nums[j + 1] % 2 != nums[j] % 2 and nums[j + 1] <= threshold:\n                        max_len = max(max_len, j - i + 2)\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[j - 1] % 2:\n                        break\n                    max_len = max(max_len, j - i + 1)\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[i] % 2:\n                        break\n                    if j == len(nums) - 1 or nums[j + 1] > threshold or nums[j + 1] % 2 == nums[j] % 2:\n                        max_len = max(max_len, j - i + 1)\n                        break\n        return max_len",
                "class Solution:\n    def longestAlternatingSubarray(self, nums: List[int], threshold: int) -> int:\n        max_len = 0\n        for i in range(len(nums)):\n            if nums[i] % 2 == 0 and nums[i] <= threshold:\n                for j in range(i, len(nums)):\n                    if nums[j] > threshold or nums[j] % 2 == nums[j - 1] % 2:\n                        break\n                    max_len = max(max_len, j - i + 1)\n        return max_len"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * (ones)\n                ones -= 1\n            else:\n                prefix_zeros += 1\n                dp[1:] = [e * prefix_zeros for e in dp[1:]]\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * (ones - 1)\n                dp[0] = prefix_zeros\n                ones -= 1\n            else:\n                prefix_zeros += 1\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * ones\n                ones -= 1\n            else:\n                prefix_zeros += 1\n                dp[1:] = [elem * prefix_zeros % mod for elem in dp]\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * (ones - 1)\n                dp[0] = 1\n                ones -= 1\n            else:\n                prefix_zeros += 1\n                dp[min(prefix_zeros, ones):] = [sum(dp)] * ones\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * (ones)\n                ones -= 1\n            else:\n                prefix_zeros += 1\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        left_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[left_zeros + 1] = (dp[left_zeros] + dp[left_zeros + 1]) % mod\n            else:\n                left_zeros += 1\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones > len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp[:i] + dp[i + 1:]) % mod for i in range(ones)]\n                ones -= 1\n                prefix_zeros = 0\n            else:\n                prefix_zeros += 1\n        return dp[0]",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * (ones)\n                ones -= 1\n            else:\n                prefix_zeros += 1\n                dp[1:] = [elem * prefix_zeros for elem in dp[1:]]\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones == len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_zeros = 0\n        for num in nums:\n            if num == 1:\n                dp[1:] = [sum(dp)] * ones\n                ones -= 1\n            else:\n                prefix_zeros += 1\n                dp[1:] = [x + y for x, y in zip(dp[1:], dp[:-1])]\n                dp[0] = prefix_zeros % mod\n        return sum(dp) % mod",
                "class Solution:\n    def numberOfGoodSubarraySplits(self, nums: List[int]) -> int:\n        mod = 10**9 + 7\n        ones = sum(nums)\n        if ones == 0 or ones > len(nums):\n            return 0\n        dp = [0] * (ones + 1)\n        dp[0] = 1\n        prefix_ones = 0\n        for num in nums:\n            if num == 1:\n                prefix_ones += 1\n                for i in range(prefix_ones, 0, -1):\n                    dp[i] += dp[i - 1]\n                    dp[i] %= mod\n        return dp[prefix_ones] % mod"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i - 1) // 2 + 1\n            i = j - 1\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i - 1) // 2\n            i = j - 1\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i - 1) // 2 + 1\n            i = j - 1\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i - 1) // 2 + 1\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i - 1) // 2 + 1\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j + 1 < n and abs(nums[j + 1] - nums[j]) <= 2:\n                j += 1\n            count += (j - i + 1) * (j - i + 2) // 2\n            i = j\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j + 1 < n and abs(nums[j + 1] - nums[j]) <= 2:\n                j += 1\n            count += (j - i + 1) * (j - i + 2) // 2\n            i = j\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i + 1) // 2\n            i = j - 1\n        \n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j+1 < n and abs(nums[j+1] - nums[i]) <= 2:\n                j += 1\n            count += (j - i + 1) * (j - i + 2) // 2\n        return count",
                "class Solution:\n    def continuousSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        n = len(nums)\n        for i in range(n):\n            j = i\n            while j < n and abs(nums[i] - nums[j]) <= 2:\n                j += 1\n            count += (j - i) * (j - i - 1) // 2 + 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            dp1[i] = dp1[i - 1] + 1 if i > 0 and nums1[i] >= nums1[i - 1] else 0\n            dp2[i] = dp2[i - 1] + 1 if i > 0 and nums2[i] >= nums2[i - 1] else 0\n\n        for i in range(n):\n            dp[i] = max(dp[i - 1], dp1[i - 1], dp2[i - 1]) + 1 if i > 0 and nums1[i] >= nums2[i - 1] else max(dp1[i], dp2[i])\n\n        return max(dp)",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            if i == 0:\n                dp[i] = 1\n                dp1[i] = 1\n                dp2[i] = 1\n            else:\n                if nums1[i] >= nums1[i - 1] or nums1[i] >= nums2[i - 1]:\n                    dp[i] = dp1[i - 1] + 1\n                if nums2[i] >= nums1[i - 1] or nums2[i] >= nums2[i - 1]:\n                    dp1[i] = dp[i - 1] + 1\n                if nums2[i] >= nums2[i - 1]:\n                    dp2[i] = dp2[i - 1] + 1\n\n        return max(dp[-1], dp1[-1], dp2[-1])",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            dp1[i] = dp1[i - 1] + 1 if i > 0 and nums1[i] >= nums1[i - 1] else 0\n            dp2[i] = dp2[i - 1] + 1 if i > 0 and nums2[i] >= nums2[i - 1] else 0\n\n        for i in range(n):\n            if nums1[i] >= nums2[i]:\n                dp[i] = max(dp1[i], dp[i - 1])\n            else:\n                dp[i] = max(dp2[i], dp[i - 1])\n\n        return dp[-1]",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            dp1[i] = dp1[i - 1] + 1 if i > 0 and nums1[i] >= nums1[i - 1] else 0\n            dp2[i] = dp2[i - 1] + 1 if i > 0 and nums2[i] >= nums2[i - 1] else 0\n\n        for i in range(n):\n            dp[i] = max(dp1[i], dp2[i])\n            if i > 0 and nums1[i] >= nums2[i - 1]:\n                dp[i] = max(dp[i], dp1[i - 1] + 1)\n            if i > 0 and nums2[i] >= nums1[i - 1]:\n                dp[i] = max(dp[i], dp2[i - 1] + 1)\n\n        return max(dp)",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            dp1[i] = dp1[i - 1] + 1 if i > 0 and nums1[i] >= nums1[i - 1] else 0\n            dp2[i] = dp2[i - 1] + 1 if i > 0 and nums2[i] >= nums2[i - 1] else 0\n\n        for i in range(n):\n            dp[i] = max(dp[i - 1], dp1[i - 1], dp2[i - 1]) + 1 if i > 0 and nums1[i] >= nums2[i - 1] else max(dp1[i], dp2[i])\n            if nums2[i] >= nums1[i]:\n                dp[i] = max(dp[i], max(dp[i - 1], dp1[i - 1], dp2[i - 1]) + 1)\n\n        return max(dp)",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [1] * n\n        dp2 = [1] * n\n\n        for i in range(1, n):\n            if nums1[i] >= nums1[i - 1]:\n                dp[i] = dp[i - 1] + 1\n            if nums2[i] >= nums2[i - 1]:\n                dp2[i] = dp2[i - 1] + 1\n\n        for i in range(n):\n            if nums1[i] >= nums2[i]:\n                dp[i] = max(dp[i], dp2[i])\n            elif nums1[i] < nums2[i]:\n                dp2[i] = max(dp[i], dp2[i])\n\n        return max(dp)",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [1] * n\n        dp2 = [1] * n\n\n        for i in range(1, n):\n            if nums1[i] >= nums1[i - 1]:\n                dp1[i] += dp1[i - 1]\n            if nums2[i] >= nums2[i - 1]:\n                dp2[i] += dp2[i - 1]\n\n        for i in range(n):\n            if nums1[i] >= nums2[i]:\n                dp[i] = max(dp1[i], dp[i - 1] + 1, dp2[i])\n            else:\n                dp[i] = max(dp1[i - 1], dp[i - 1], dp2[i])\n\n        return dp[-1]",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            dp1[i] = dp1[i - 1] + 1 if i > 0 and nums1[i] >= nums1[i - 1] else 1\n            dp2[i] = dp2[i - 1] + 1 if i > 0 and nums2[i] >= nums2[i - 1] else 1\n\n        for i in range(n):\n            if nums1[i] >= nums2[i]:\n                dp[i] = max(dp1[i], dp[i - 1])\n            else:\n                dp[i] = max(dp2[i], dp[i - 1])\n\n        return dp[-1]",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [1] * n\n        dp2 = [1] * n\n\n        for i in range(1, n):\n            if nums1[i] >= nums1[i - 1]:\n                dp[i] = dp[i - 1] + 1\n            if nums2[i] >= nums2[i - 1]:\n                dp2[i] = dp2[i - 1] + 1\n\n        ans = 0\n        for i in range(n):\n            ans = max(ans, dp[i] + dp2[i] - 1)\n\n        return ans",
                "class Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [0] * n\n        dp1 = [0] * n\n        dp2 = [0] * n\n\n        for i in range(n):\n            dp1[i] = dp1[i - 1] + 1 if i > 0 and nums1[i] >= nums1[i - 1] else 1\n            dp2[i] = dp2[i - 1] + 1 if i > 0 and nums2[i] >= nums2[i - 1] else 1\n\n        for i in range(n):\n            if nums1[i] >= nums2[i]:\n                dp[i] = max(dp1[i], dp[i - 1])\n            else:\n                dp[i] = max(dp2[i], dp[i - 1])\n\n        return dp[-1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if abs(nums[i] - nums[i + 1]) == 1:\n                max_length = max(max_length, 2)\n                j = i + 2\n                while j < len(nums) and abs(nums[j] - nums[j - 1]) == 1:\n                    max_length += 1\n                    j += 1\n        return max_length if max_length != -1 else 0",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] == nums[i] and nums[j - 1] == nums[i] + 1:\n                        current_length += 1\n                    else:\n                        break\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] != nums[j - 1] + 1:\n                        break\n                    current_length += 1\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        current_length = 0\n        prev_diff = None\n\n        for i in range(1, len(nums)):\n            diff = nums[i] - nums[i - 1]\n            if diff == 1 or diff == -1:\n                if prev_diff == diff:\n                    current_length += 1\n                else:\n                    current_length = 2\n                prev_diff = diff\n                max_length = max(max_length, current_length)\n            else:\n                prev_diff = None\n                current_length = 0\n\n        return max_length if max_length != -1 else len(nums) - 1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] != nums[j - 1] + 1:\n                        break\n                    current_length += 1\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] != nums[j - 1] - 1:\n                        break\n                    current_length += 1\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] == nums[i] and nums[j - 1] == nums[i] + 1:\n                        current_length += 1\n                    else:\n                        break\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] == nums[i] + (j - i) % 2:\n                        current_length += 1\n                    else:\n                        break\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] == nums[i] and nums[j - 1] == nums[i] + 1:\n                        current_length += 1\n                    else:\n                        break\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1",
                "class Solution:\n    def alternatingSubarray(self, nums: List[int]) -> int:\n        max_length = -1\n        for i in range(len(nums) - 1):\n            if nums[i] + 1 == nums[i + 1]:\n                current_length = 2\n                for j in range(i + 2, len(nums)):\n                    if nums[j] == nums[i] and nums[j - 1] == nums[i] + 1:\n                        current_length += 1\n                    else:\n                        break\n                max_length = max(max_length, current_length)\n        return max_length if max_length > 0 else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        for i in range(len(nums) - 1, -1, -1):\n            if nums[i] > max_val:\n                max_val = nums[i]\n            nums[i] *= 2\n        return max_val",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        for i in range(len(nums) - 1, -1, -1):\n            if nums[i] > max_val:\n                max_val = nums[i]\n            nums[i] *= 2\n        return max_val",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        for i in range(len(nums) - 1, -1, -1):\n            if nums[i] > max_val:\n                max_val = nums[i]\n            nums[i] *= 2\n        return max_val",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result",
                "class Solution:\n    def maxArrayValue(self, nums: List[int]) -> int:\n        max_val = 0\n        result = 0\n        for num in nums:\n            max_val = max(max_val + num, num)\n            result = max(result, max_val)\n        return result"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        prime_pairs.sort(key=lambda x: x[0])\n        return prime_pairs",
                "class Solution:\n    def findPrimePairs(self, n: int) -> list[list[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        prime_pairs.sort()\n        return prime_pairs",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        prime_pairs.sort(key=lambda x: x[0])\n        return prime_pairs",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        return sorted(prime_pairs)",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        prime_pairs.sort()\n        return prime_pairs",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num <= 1:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        prime_pairs.sort(key=lambda x: x[0])\n        return prime_pairs",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        return sorted(prime_pairs)",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        return sorted(prime_pairs)",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        prime_pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                prime_pairs.append([x, y])\n\n        prime_pairs.sort(key=lambda x: x[0])\n        return prime_pairs",
                "class Solution:\n    def findPrimePairs(self, n: int) -> List[List[int]]:\n        def is_prime(num: int) -> bool:\n            if num < 2:\n                return False\n            for i in range(2, int(num**0.5) + 1):\n                if num % i == 0:\n                    return False\n            return True\n\n        pairs = []\n        for x in range(1, n // 2 + 1):\n            y = n - x\n            if is_prime(x) and is_prime(y):\n                pairs.append([x, y])\n\n        return sorted(pairs)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                true,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: List[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfEmployeesWhoMetTarget(self, hours: list[int], target: int) -> int:\n        count = 0\n        for hour in hours:\n            if hour >= target:\n                count += 1\n        return count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in t)\n\n        def combine(s, t):\n            if check(s, t):\n                return s\n            if check(t, s):\n                return t\n            for i in range(len(s)):\n                if check(s[:i] + t + s[i:], t):\n                    return s[:i] + t + s[i:]\n            for i in range(len(t)):\n                if check(t[:i] + s + t[i:], s):\n                    return t[:i] + s + t[i:]\n            return s + t\n\n        ans = combine(a, b)\n        ans = combine(ans, c)\n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in t)\n\n        ans = a + b + c\n        for i in range(1, len(a)):\n            for j in range(1, len(b)):\n                for k in range(1, len(c)):\n                    s = min(a[i:], b[j:], c[k:], key=len)\n                    if check(s, a) and check(s, b) and check(s, c):\n                        ans = min(ans, a[:i] + s + b[:j] + c[:k])\n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in (a, b, c)) and len(s) <= len(t) and (len(s) < len(t) or s < t)\n\n        s = a + b + c\n        for i in range(len(s)):\n            for j in range(i + 1, len(s) + 1):\n                t = s[i:j]\n                if check(t, s):\n                    s = t\n        return s",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, a, b, c):\n            return all(x in s for x in [a, b, c])\n        \n        min_len = len(a) + len(b) + len(c)\n        ans = ''\n        \n        for i in range(1, min_len + 1):\n            for s in itertools.combinations_with_replacement([a, b, c], i):\n                candidate = ''.join(sorted(''.join(s)))\n                if check(candidate, a, b, c):\n                    ans = candidate\n                    break\n            if ans:\n                break\n        \n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, a, b, c):\n            return all(x in s for x in [a, b, c])\n        \n        min_len = max(len(a), len(b), len(c))\n        for i in range(min_len, min_len + 11):\n            for s in itertools.product(*([[x] * i for x in 'abc'][:3])):\n                candidate = ''.join(s)\n                if check(candidate, a, b, c):\n                    return candidate",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in [a, b, c]) and len(s) < len(t) or (\n                len(s) == len(t) and s < t\n            )\n\n        ans = a + b + c\n        for s in [a, b, c]:\n            for t in [a, b, c]:\n                if s != t:\n                    ans = min(ans, s + t, key=lambda x: (check(x, ans), x))\n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in t)\n\n        def combine(s, t):\n            if check(s, t):\n                return s\n            for i in range(len(t)):\n                if check(s + t[i:], t):\n                    return s + t[i:]\n            return s + t\n\n        ans = combine(a, b)\n        ans = combine(ans, c)\n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in t)\n\n        def combine(s, t):\n            if check(s, t):\n                return s\n            if check(t, s):\n                return t\n            for i in range(len(s)):\n                if check(s[:i] + t + s[i:], t):\n                    return s[:i] + t + s[i:]\n            for i in range(len(t)):\n                if check(s + t[:i] + s + t[i:], t):\n                    return s + t[:i] + s + t[i:]\n            return s + t\n\n        ans = combine(a, b)\n        ans = combine(ans, c)\n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in [a, b, c]) and len(s) == len(t)\n\n        def combine(s, t):\n            for i in range(len(s)):\n                for j in range(len(t)):\n                    yield s[:i] + t[j:]\n\n        def helper(s, t):\n            if check(s, t):\n                return s\n            for u in helper(s + a, t + \"a\"):\n                yield u\n            for u in helper(s + b, t + \"b\"):\n                yield u\n            for u in helper(s + c, t + \"c\"):\n                yield u\n\n        ans = \"\"\n        for s in helper(ans, ans):\n            if not ans or len(s) < len(ans) or (len(s) == len(ans) and s < ans):\n                ans = s\n        return ans",
                "class Solution:\n    def minimumString(self, a: str, b: str, c: str) -> str:\n        def check(s, t):\n            return all(x in s for x in t)\n\n        def combine(s, t):\n            if check(s, t):\n                return s\n            if check(t, s):\n                return t\n            for i in range(len(s)):\n                if check(s[:i] + t + s[i:], t):\n                    return s[:i] + t + s[i:]\n            for i in range(len(t)):\n                if check(t[:i] + s + t[i:], s):\n                    return t[:i] + s + t[i:]\n            return s + t\n\n        ans = combine(a, b)\n        ans = combine(ans, c)\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        if max_val == 0:\n            return True\n        if k == 1:\n            return False\n        diff = max_val % (k - 1)\n        return diff == 0",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or (max_val - 1) % k == 0",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or max_val - 1 < k // 2",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or max_val - min(nums) < k\r",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or max_val - 1 < k // 2",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or max_val - min(nums) < k\r",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or max_val - min(nums) < k\r",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        if max_val == 0:\n            return True\n        operations_needed = nums.count(max_val)\n        return operations_needed <= max_val and max_val % k == 0",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        if max_val == 0:\n            return True\n        if k == 1:\n            return False\n        diff = max_val % k\n        return diff == 0",
                "class Solution:\n    def checkArray(self, nums: List[int], k: int) -> bool:\n        max_val = max(nums)\n        return max_val == 0 or max_val - 1 < k or k == 1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        n = len(s)\n        dp = [[float('inf')] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(k):\n                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + self.count_diff(s[i - j:i + 1]))\n\n        return dp[n][k]\n\n    def count_diff(self, s: str) -> int:\n        return sum(a != b for a, b in zip(s, reversed(s)))",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(s: str) -> bool:\n            n = len(s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if s[i] != s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(s: str, k: int) -> int:\n            n = len(s)\n            dp = [[0] * (k + 1) for _ in range(n + 1)]\n            for i in range(1, n + 1):\n                for j in range(1, min(i, k) + 1):\n                    dp[i][j] = min(dp[i - 1][j] + (j == 1), dp[i - 1][j - 1] + (not is_semi_palindrome(s[i - j:i])))\n            return dp[n][k]\n\n        return count_letter_changes(s, k)",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(sub_s: str) -> bool:\n            n = len(sub_s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if sub_s[i] != sub_s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(sub_s: str) -> int:\n            n = len(sub_s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    count = 0\n                    i, j = 0, d\n                    while j < n:\n                        if sub_s[i] != sub_s[j]:\n                            count += 1\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return count\n            return n\n\n        def solve(i: int, changes: int) -> int:\n            if i == k:\n                return changes\n            min_changes = float(\"inf\")\n            for j in range(i, k):\n                sub_s = s[i * (len(s) // k) : j * (len(s) // k)]\n                min_changes = min(min_changes, solve(j, changes + count_letter_changes(sub_s)))\n            return min_changes\n\n        return solve(1, 0)",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(sub_s: str) -> bool:\n            n = len(sub_s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if sub_s[i] != sub_s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(sub_s: str) -> int:\n            n = len(sub_s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    count = 0\n                    i, j = 0, d\n                    while j < n:\n                        if sub_s[i] != sub_s[j]:\n                            count += 1\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return count\n            return float('inf')\n\n        def backtrack(index: int, count: int, k: int, substrings: list[str]):\n            if k == len(substrings):\n                return count\n            for length in range(1, len(s) - index + 1):\n                sub_s = s[index : index + length]\n                if is_semi_palindrome(sub_s):\n                    substrings.append(sub_s)\n                    new_count = backtrack(index + length, count, k, substrings)\n                    substrings.pop()\n                    if new_count + count_letter_changes(sub_s) < count:\n                        count = new_count + count_letter_changes(sub_s)\n                if count < 0:\n                    break\n            return count\n\n        return backtrack(0, 0, k, [])",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(s: str) -> bool:\n            n = len(s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if s[i] != s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(s: str, d: int) -> int:\n            n = len(s)\n            count = 0\n            for i in range(d):\n                for j in range(i, n, d):\n                    if s[j] != s[i]:\n                        count += 1\n            return count\n\n        def solve(s: str, k: int, n: int) -> int:\n            if k == 1:\n                return 0 if is_semi_palindrome(s) else n\n            min_changes = float('inf')\n            for i in range(k):\n                prefix_len = n // (k - i)\n                suffix_len = n - prefix_len\n                prefix = s[:prefix_len]\n                suffix = s[prefix_len:]\n                min_changes_prefix = solve(prefix, i + 1, prefix_len) + count_letter_changes(prefix, prefix_len // (i + 1))\n                min_changes_suffix = solve(suffix, k - i, suffix_len) + count_letter_changes(suffix, suffix_len // (k - i))\n                min_changes = min(min_changes, min_changes_prefix + min_changes_suffix)\n            return min_changes\n\n        n = len(s)\n        return solve(s, k, n)",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        n = len(s)\n        dp = [[float('inf')] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(k):\n                for d in range(1, n // (j + 1) + 1):\n                    if (i + 1) % d == 0:\n                        cost = sum(a != b for a, b in zip(s[i - d + 1:i + 1], s[i - d + 1:i:-1]))\n                        dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i - d + 1][j] + cost)\n\n        return dp[n][k]",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(s: str) -> bool:\n            n = len(s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if s[i] != s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(s: str, k: int) -> int:\n            n = len(s)\n            dp = [[0] * (k + 1) for _ in range(n + 1)]\n            for i in range(1, n + 1):\n                for j in range(1, min(i, k) + 1):\n                    dp[i][j] = min(dp[i - 1][j] + 1, dp[i - 1][j - 1] + is_semi_palindrome(s[i - j:i]) * (j - 1))\n            return dp[n][k]\n\n        return count_letter_changes(s, k)",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(s: str) -> bool:\n            n = len(s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if s[i] != s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(s: str, k: int) -> int:\n            n = len(s)\n            dp = [[0] * (k + 1) for _ in range(n + 1)]\n            for i in range(1, n + 1):\n                for j in range(1, min(i, k) + 1):\n                    dp[i][j] = min(dp[i - 1][j] + 1, dp[i - 1][j - 1] + is_semi_palindrome(s[i - j:i]))\n            return dp[n][k]\n\n        return count_letter_changes(s, k)",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        def is_semi_palindrome(sub_s: str) -> bool:\n            n = len(sub_s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    i, j = 0, d\n                    while j < n:\n                        if sub_s[i] != sub_s[j]:\n                            break\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return True\n            return False\n\n        def count_letter_changes(sub_s: str) -> int:\n            n = len(sub_s)\n            for d in range(1, n // 2 + 1):\n                if n % d == 0:\n                    count = 0\n                    i, j = 0, d\n                    while j < n:\n                        if sub_s[i] != sub_s[j]:\n                            count += 1\n                        i += 1\n                        j += 1\n                    if j == n:\n                        return count\n            return n\n\n        def solve(i: int, changes: int) -> int:\n            if i == len(s):\n                return 0 if changes == 0 else float('inf')\n            min_changes = float('inf')\n            for j in range(i, len(s) - k + i + 1):\n                sub_s = s[i:j+1]\n                if is_semi_palindrome(sub_s):\n                    min_changes = min(min_changes, solve(j + 1, changes))\n                else:\n                    min_changes = min(min_changes, solve(j + 1, changes + count_letter_changes(sub_s)))\n            return min_changes\n\n        return solve(0, 0)",
                "class Solution:\n    def minimumChanges(self, s: str, k: int) -> int:\n        n = len(s)\n        dp = [[float('inf')] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(k):\n                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + self.count_diff(s[i:], j + 1))\n\n        return dp[n][k]\n\n    def count_diff(self, s: str, d: int) -> int:\n        n = len(s)\n        count = 0\n        for i in range(d):\n            for j in range(i, n, d):\n                if s[i] != s[j]:\n                    count += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result",
                "class Solution:\n    def splitWordsBySeparator(self, words: List[str], separator: str) -> List[str]:\n        result = []\n        for word in words:\n            subwords = word.split(separator)\n            result.extend([s for s in subwords if s != ''])\n        return result"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        mod = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] += dp[i - j ** x]\n                    dp[i] %= mod\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        mod = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j**x >= 0:\n                    dp[i] = (dp[i] + dp[i - j**x]) % mod\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] += dp[i - j ** x]\n            dp[i] %= MOD\n        return dp[n]",
                "class Solution:\n    def numberOfWays(self, n: int, x: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        MOD = 10**9 + 7\n        for i in range(1, n + 1):\n            for j in range(1, i + 1):\n                if i - j ** x >= 0:\n                    dp[i] = (dp[i] + dp[i - j ** x]) % MOD\n        return dp[n]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            val = int(sub, 2)\n            return val > 0 and (val & (val - 1)) == 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        power_of_5_bin = [bin(p)[2:].zfill(4) for p in power_of_5]\n\n        dp = [float('inf')] * (1 << 4)\n        dp[0] = 0\n\n        for c in s:\n            new_dp = [float('inf')] * (1 << 4)\n            for mask in range(1 << 4):\n                if dp[mask] != float('inf'):\n                    new_dp[mask] = dp[mask] + 1\n                    for i in range(5):\n                        next_mask = mask | (1 << i)\n                        next_sub = power_of_5_bin[i] + c\n                        if is_beautiful(next_sub):\n                            new_dp[next_mask] = min(new_dp[next_mask], dp[mask])\n            dp = new_dp\n\n        return min(dp[(1 << 4) - 1], 4) if dp[(1 << 4) - 1] != float('inf') else -1",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num % 5 == 0 and num > 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        power_of_5_bin = [bin(p)[2:].zfill(len(s)) for p in power_of_5]\n\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for j in range(i + 1):\n                sub = s[j:i + 1]\n                if is_beautiful(sub):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + 1)\n                for p in power_of_5_bin:\n                    if sub.endswith(p):\n                        dp[i + 1] = min(dp[i + 1], dp[j + len(p)] + 1)\n\n        return dp[len(s)] if dp[len(s)] != float('inf') else -1",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num > 0 and (num & (num - 1)) == 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        power_of_5_bin = [bin(p)[2:].zfill(len(s)) for p in power_of_5]\n\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n\n        for i in range(len(s)):\n            for j in range(i + 1):\n                if is_beautiful(s[j:i + 1]):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + 1)\n                elif s[j:i + 1] in power_of_5_bin:\n                    dp[i + 1] = min(dp[i + 1], dp[j])\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        powers_of_5 = [1, 5, 25, 125, 625]\n        if s[0] == '0':\n            return -1\n\n        count = 0\n        for power in powers_of_5:\n            if len(s) >= len(bin(power)[2:]) and s[:len(bin(power)[2:])] == bin(power)[2:]:\n                count += 1\n                s = s[len(bin(power)[2:]):]\n\n        return count if s == '' else -1",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num != 0 and (num & (num - 1)) == 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        beautiful_sub = []\n        count = 0\n\n        for i in range(len(s)):\n            for j in range(i, len(s)):\n                sub = s[i:j+1]\n                if is_beautiful(sub):\n                    beautiful_sub.append(sub)\n\n        if not beautiful_sub:\n            return -1\n\n        ans = float('inf')\n        n = len(beautiful_sub)\n        for i in range(n):\n            curr = 1\n            for j in range(i, n):\n                if int(beautiful_sub[j], 2) in power_of_5:\n                    curr += 1\n                    ans = min(ans, curr)\n\n        return ans if ans != float('inf') else -1",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num % (5 ** (len(sub) - 1)) == 0\n\n        power_of_5 = [1]\n        for _ in range(len(s)):\n            power_of_5.append(power_of_5[-1] * 5)\n\n        dp = [float('inf')] * (len(s) + 1)\n        dp[0] = 0\n        for i in range(len(s)):\n            for j in range(i, -1, -1):\n                if is_beautiful(s[j:i+1]):\n                    dp[i+1] = min(dp[i+1], dp[j] + 1)\n\n        return dp[-1] if dp[-1] != float('inf') else -1",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num % 5 == 0 and num > 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        power_of_5_bin = [\"1\", \"101\", \"11111\", \"102101\", \"11111111111\"]\n\n        if not any(s.startswith(p) for p in power_of_5_bin):\n            return -1\n\n        ans = 0\n        for power in power_of_5_bin:\n            while s.startswith(power):\n                ans += 1\n                s = s[len(power):]\n\n        return ans",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num and (num & (num - 1)) == 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        beautiful_substrings = [sub for sub in s if is_beautiful(sub)]\n        if not beautiful_substrings:\n            return -1\n\n        dp = [float('inf')] * (len(beautiful_substrings) + 1)\n        dp[0] = 0\n        for i in range(len(beautiful_substrings)):\n            for j in range(i, -1, -1):\n                if int(beautiful_substrings[i], 2) in power_of_5:\n                    dp[i + 1] = min(dp[i + 1], dp[j] + 1)\n        return dp[-1]",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num and (num & (num - 1)) == 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        power_of_5_bin = [bin(i)[2:] for i in power_of_5]\n\n        n = len(s)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(1, n + 1):\n            for j in range(i, n + 1):\n                sub = s[i - 1:j]\n                if sub in power_of_5_bin:\n                    dp[j] = min(dp[j], 1 + dp[i - 1])\n                else:\n                    for k in range(i, j):\n                        left = s[i - 1:k]\n                        right = s[k:j]\n                        if left in power_of_5_bin and is_beautiful(right):\n                            dp[j] = min(dp[j], 1 + dp[i - 1] + dp[k])\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumBeautifulSubstrings(self, s: str) -> int:\n        def is_beautiful(sub):\n            if sub[0] == '0':\n                return False\n            num = int(sub, 2)\n            return num and (num & (num - 1)) == 0\n\n        power_of_5 = [1, 5, 25, 125, 625]\n        beautiful_substrings = [sub for sub in s if is_beautiful(sub)]\n\n        if not beautiful_substrings:\n            return -1\n\n        dp = [float('inf')] * (len(beautiful_substrings) + 1)\n        dp[0] = 0\n        for i in range(len(beautiful_substrings)):\n            for j in range(i, -1, -1):\n                if int(beautiful_substrings[i]) <= power_of_5[j]:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n\n        return dp[-1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            if substring in forbidden_set:\n                left = right + 1\n            else:\n                max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        valid_substring = \"\"\n\n        for right in range(len(word)):\n            while word[left:right+1] in forbidden_set:\n                left += 1\n            if right - left + 1 > max_length:\n                max_length = right - left + 1\n\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            if substring in forbidden_set:\n                left = right + 1\n            else:\n                max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            while substring in forbidden_set:\n                left += 1\n                substring = word[left:right+1]\n            max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            if substring in forbidden_set:\n                left = right + 1\n            else:\n                max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        start = 0\n        for i in range(len(word)):\n            for j in range(i, len(word)):\n                substring = word[i:j+1]\n                if substring in forbidden_set:\n                    start = j + 1\n                    break\n            max_length = max(max_length, i - start + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            if substring in forbidden_set:\n                left = right + 1\n            else:\n                max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            if substring in forbidden_set:\n                left = right + 1\n            else:\n                max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            if substring in forbidden_set:\n                left = right + 1\n            else:\n                max_length = max(max_length, right - left + 1)\n        return max_length",
                "class Solution:\n    def longestValidSubstring(self, word: str, forbidden: List[str]) -> int:\n        forbidden_set = set(forbidden)\n        max_length = 0\n        left = 0\n        for right in range(len(word)):\n            substring = word[left:right+1]\n            while substring in forbidden_set:\n                left += 1\n                substring = word[left:right+1]\n            max_length = max(max_length, right - left + 1)\n        return max_length"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        return result[::-i_count] if i_count % 2 == 1 else result",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for c in s:\n            if c == 'i':\n                i_count += 1\n            else:\n                result += c\n        return result[::-i_count]",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        return result[:len(result) - i_count] + result[len(result) - i_count:]",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        return result[:i_count] + result[i_count:][::-1]",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        return result[:len(result) - i_count] + result[len(result) - i_count:]",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        return result[:i_count * 2 // 2 :: -1] + result[i_count * 2 :: -1]",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        result = result[::-i_count]\n        return result",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n        return result[::-i_count] if i_count % 2 else result",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n\n        for char in s:\n            if char == 'i':\n                i_count += 1\n            else:\n                result += char\n\n        for _ in range(i_count % 2):\n            result = result[::-1]\n\n        return result",
                "class Solution:\n    def finalString(self, s: str) -> str:\n        result = \"\"\n        i_count = 0\n        for c in s:\n            if c == 'i':\n                i_count += 1\n            else:\n                result += c\n        return result[:i_count] + result[i_count:][::-1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = ['a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U']\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        sorted_vowels = sorted([s[i] for i in vowel_indices])\n\n        t = list(s)\n        for i, index in enumerate(vowel_indices):\n            t[index] = sorted_vowels[i]\n\n        return \"\".join(t)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = [\"a\", \"e\", \"i\", \"o\", \"u\", \"A\", \"E\", \"I\", \"O\", \"U\"]\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        vowel_values = [s[i] for i in vowel_indices]\n        vowel_values.sort()\n\n        t = list(s)\n        for i, idx in enumerate(vowel_indices):\n            t[idx] = vowel_values[i]\n\n        return \"\".join(t)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = ['a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U']\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        sorted_vowels = sorted([s[i] for i in vowel_indices])\n\n        result = list(s)\n        for i, idx in enumerate(vowel_indices):\n            result[idx] = sorted_vowels[i]\n\n        return \"\".join(result)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = \"aeiouAEIOU\"\n        vowel_indices = [i for i, c in enumerate(s) if c in vowels]\n        sorted_vowels = sorted([s[i] for i in vowel_indices])\n\n        result = list(s)\n        for i, idx in enumerate(vowel_indices):\n            result[idx] = sorted_vowels[i]\n\n        return \"\".join(result)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = ['a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U']\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        vowel_values = [s[i] for i in vowel_indices]\n        vowel_values.sort()\n\n        t = list(s)\n        for i, index in enumerate(vowel_indices):\n            t[index] = vowel_values[i]\n\n        return \"\".join(t)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = ['a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U']\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        sorted_vowels = sorted([s[i] for i in vowel_indices])\n\n        result = list(s)\n        for i, index in enumerate(vowel_indices):\n            result[index] = sorted_vowels[i]\n\n        return \"\".join(result)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = \"aeiouAEIOU\"\n        vowel_indices = [i for i, c in enumerate(s) if c in vowels]\n        vowel_values = [s[i] for i in vowel_indices]\n        vowel_values.sort()\n\n        t = list(s)\n        for i, idx in enumerate(vowel_indices):\n            t[idx] = vowel_values[i]\n\n        return \"\".join(t)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = ['a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U']\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        vowel_values = [s[i] for i in vowel_indices]\n        vowel_values.sort()\n\n        t = list(s)\n        for i, index in enumerate(vowel_indices):\n            t[index] = vowel_values[i]\n\n        return \"\".join(t)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = \"aeiouAEIOU\"\n        vowel_indices = [i for i, c in enumerate(s) if c in vowels]\n        vowel_values = [s[i] for i in vowel_indices]\n        vowel_values.sort()\n\n        t = list(s)\n        for i, idx in enumerate(vowel_indices):\n            t[idx] = vowel_values[i]\n\n        return \"\".join(t)",
                "class Solution:\n    def sortVowels(self, s: str) -> str:\n        vowels = ['a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U']\n        vowel_indices = [i for i, char in enumerate(s) if char in vowels]\n        vowel_values = [s[i] for i in vowel_indices]\n        vowel_values.sort()\n\n        t = list(s)\n        for i, index in enumerate(vowel_indices):\n            t[index] = vowel_values[i]\n\n        return \"\".join(t)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = 0\n\n        for num in nums:\n            if num == dominant:\n                count += 1\n            else:\n                if dominant is None:\n                    dominant = num\n                    count = 1\n                else:\n                    count -= 1\n\n        if count * 2 <= n:\n            return -1\n\n        left_count = [0] * n\n        right_count = [0] * n\n\n        left, right = 0, 0\n\n        for i in range(n):\n            if nums[i] == dominant:\n                left_count[i] = left\n                left += 1\n\n            if nums[n - 1 - i] == dominant:\n                right_count[n - 1 - i] = right\n                right += 1\n\n        valid_split = n\n        for i in range(n - 1):\n            if left_count[i] * 2 > i + 1 and right_count[i + 1] * 2 > n - i - 1:\n                valid_split = i\n                break\n\n        return valid_split",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = {}\n\n        for num in nums:\n            if num in count:\n                count[num] += 1\n            else:\n                count[num] = 1\n\n            if count[num] * 2 > n:\n                dominant = num\n\n        if dominant is None:\n            return -1\n\n        left_dominant = False\n        right_dominant = False\n        i = 0\n\n        for num in nums:\n            if num == dominant:\n                if i <= n // 2:\n                    left_dominant = True\n                else:\n                    right_dominant = True\n\n            if left_dominant and right_dominant:\n                return i\n\n            i += 1\n\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = 0\n\n        for num in nums:\n            if num == dominant:\n                count += 1\n            else:\n                count = 1\n                dominant = num\n\n            if count * 2 > n:\n                break\n\n        if dominant is None:\n            return -1\n\n        left_dominant = None\n        left_count = 0\n        right_dominant = None\n        right_count = 0\n\n        for i in range(n):\n            if i <= n // 2:\n                if nums[i] == left_dominant:\n                    left_count += 1\n                else:\n                    left_count = 1\n                    left_dominant = nums[i]\n\n                if left_count * 2 > i + 1:\n                    return i\n            else:\n                if nums[n - 1 - i] == right_dominant:\n                    right_count += 1\n                else:\n                    right_count = 1\n                    right_dominant = nums[n - 1 - i]\n\n                if right_count * 2 > n - i:\n                    return n - 1 - i\n\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = 0\n\n        for num in nums:\n            if num == dominant:\n                count += 1\n            else:\n                if count * 2 > n:\n                    dominant = num\n                    count = 1\n                else:\n                    count = 1\n\n        if dominant is None:\n            return -1\n\n        left_dominant = None\n        left_count = 0\n        right_dominant = None\n        right_count = 0\n\n        for i in range(n):\n            if i == n - 1 or nums[i] != nums[i + 1]:\n                if left_count * 2 > i + 1:\n                    left_dominant = nums[i]\n                if right_count * 2 > n - i - 1:\n                    right_dominant = nums[i + 1]\n\n            if nums[i] == dominant:\n                if i == n - 1:\n                    left_count += 1\n                else:\n                    left_count += 1\n                    right_count += 1\n            else:\n                if i == n - 1:\n                    left_count += 1\n                else:\n                    right_count += 1\n\n        if left_dominant == right_dominant:\n            return n - 1\n\n        for i in range(n - 1):\n            if nums[i] == left_dominant and nums[i + 1] == right_dominant:\n                return i\n\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = {}\n\n        for num in nums:\n            if num in count:\n                count[num] += 1\n            else:\n                count[num] = 1\n            if count[num] * 2 > n:\n                dominant = num\n\n        if dominant is None:\n            return -1\n\n        left_dominant = False\n        right_dominant = False\n        i = 0\n\n        for num in nums:\n            if num == dominant:\n                if i <= n // 2:\n                    left_dominant = True\n                else:\n                    right_dominant = True\n\n            if left_dominant and right_dominant:\n                return i\n\n            i += 1\n\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = 0\n        for num in nums:\n            if nums.count(num) * 2 > n:\n                if dominant:\n                    return -1\n                dominant = num\n                count = nums.count(num)\n        if not dominant:\n            return -1\n\n        left_dominant = False\n        right_dominant = False\n        for i in range(n - 1):\n            if nums[i] == dominant:\n                left_dominant = True\n            else:\n                if not left_dominant:\n                    return -1\n            if nums[i + 1] == dominant:\n                right_dominant = True\n            else:\n                if not right_dominant:\n                    return -1\n            if left_dominant and right_dominant:\n                return i\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = {}\n        \n        for num in nums:\n            if num in count:\n                count[num] += 1\n            else:\n                count[num] = 1\n            if count[num] * 2 > n:\n                dominant = num\n        \n        if dominant is None:\n            return -1\n        \n        left_dominant = False\n        right_dominant = False\n        i = 0\n        while i < n:\n            if nums[i] == dominant:\n                left_dominant = True\n            if left_dominant and right_dominant:\n                break\n            i += 1\n            if i == n:\n                break\n            if nums[i] == dominant:\n                right_dominant = True\n        \n        return i - 1 if left_dominant and right_dominant else -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = {}\n\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n            if count[num] * 2 > n:\n                dominant = num\n\n        if dominant is None:\n            return -1\n\n        left_dominant = False\n        right_dominant = False\n\n        for i in range(n - 1):\n            if nums[i] == dominant:\n                left_dominant = True\n            if nums[i + 1] == dominant:\n                right_dominant = True\n\n            if left_dominant and right_dominant:\n                return i\n\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = 0\n\n        for num in nums:\n            if num == dominant:\n                count += 1\n            else:\n                if count * 2 > len(nums):\n                    dominant = num\n                    count = 1\n                else:\n                    return -1\n                if count * 2 > n:\n                    return 0\n\n        for i in range(n - 1):\n            if nums[i] == dominant:\n                count -= 1\n            if nums[i + 1] == dominant:\n                count += 1\n            if count * 2 <= n:\n                return i\n\n        return -1",
                "class Solution:\n    def minimumIndex(self, nums: List[int]) -> int:\n        n = len(nums)\n        dominant = None\n        count = {}\n        \n        for num in nums:\n            if num in count:\n                count[num] += 1\n            else:\n                count[num] = 1\n        \n        for num, freq in count.items():\n            if freq * 2 > n:\n                dominant = num\n                break\n        \n        if dominant is None:\n            return -1\n        \n        left_freq = 0\n        for i in range(n):\n            if nums[i] == dominant:\n                left_freq += 1\n            if i == n - 1 or nums[i+1] == dominant:\n                continue\n            if left_freq * 2 > i + 1 and left_freq * 2 > n - i - 1:\n                return i\n        \n        return -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = binary_search(nums, nums[i - 1] - k, i - 1)\n            dp[i] = i - j if j >= 0 else i + 1\n        return max(dp)\n\n    def binary_search(self, nums, target, high):\n        low = 0\n        while low <= high:\n            mid = (low + high) // 2\n            if nums[mid] > target:\n                high = mid - 1\n            else:\n                low = mid + 1\n        return high",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = 0\n            while j < i:\n                if nums[i] - k <= nums[j]:\n                    dp[i] = max(dp[i], dp[j] + 1)\n                j += 1\n        return max(dp)",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = binary_search(nums, nums[i - 1] - k, i - 1)\n            dp[i] = i - j if j >= 0 else i + 1\n        return max(dp)\n\ndef binary_search(nums, target, high):\n    low = 0\n    while low <= high:\n        mid = (low + high) // 2\n        if nums[mid] > target:\n            high = mid - 1\n        else:\n            low = mid + 1\n    return low",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = 0\n            while j < i:\n                if nums[i] <= nums[j] + 2 * k:\n                    dp[i] = max(dp[i], dp[j] + 1)\n                j += 1\n        return max(dp)",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = 0\n            while j < i:\n                if nums[i] <= nums[j] + 2 * k:\n                    dp[i] = max(dp[i], dp[j] + 1)\n                j += 1\n        return max(dp)",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = binary_search(nums, nums[i] - k, i - 1, True)\n            if j >= 0:\n                dp[i] = dp[j] + 1\n            if i > 0:\n                dp[i] = max(dp[i], dp[i - 1])\n        return max(dp)\n\n    def binary_search(self, nums, target, high, find_lower):\n        low = 0\n        while low <= high:\n            mid = (low + high) // 2\n            if nums[mid] > target:\n                high = mid - 1\n            else:\n                low = mid + 1\n        if find_lower:\n            return high\n        else:\n            return low",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = bisect.bisect_left(dp, i - k)\n            dp[i] = max(dp[i - 1], dp[j] + 1)\n        return dp[-1]",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = binary_search(nums, nums[i] - k, i - 1, True)\n            if j != -1:\n                dp[i] = dp[j] + 1\n            if i > 0:\n                dp[i] = max(dp[i], dp[i - 1])\n        return max(dp)\n\n    def binary_search(self, nums, target, high, find_lower):\n        low = 0\n        while low <= high:\n            mid = (low + high) // 2\n            if nums[mid] > target:\n                high = mid - 1\n            else:\n                low = mid + 1\n        if find_lower:\n            return high if high >= 0 else -1\n        else:\n            return low",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = binary_search(nums, nums[i - 1] - k, i)\n            if j < n and nums[j] == nums[i - 1] - k:\n                dp[i] = dp[i - 1] + 1\n            else:\n                dp[i] = max(dp[i - 1], dp[j - 1] + 1) if j != 0 else 1\n        return binary_search(dp, 0, n) + 1\n\n    def binary_search(arr, target, left=None):\n        \"\"\"Performs binary search and returns the index of the target value in the array.\n        If the target value does not exist in the array, returns the insertion point.\"\"\"\n        right = len(arr)\n        if left is None:\n            left = 0\n        while left < right:\n            mid = (left + right) // 2\n            if arr[mid] < target:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def maximumBeauty(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            j = 0\n            while j < i:\n                if nums[i] <= nums[j] + 2 * k:\n                    dp[i] = max(dp[i], dp[j] + 1)\n                j += 1\n        return max(dp)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        return len(nums) == n and all(1 <= i <= n for i in nums) and nums.count(n) == 2",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        return len(nums) == n + 1 and sorted(nums) == [1, 2, 3] * (n // 3) + [1, 2] * (n % 3) + [n] * (n % 3 + 1)",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        base_n = set(range(1, n))\n        return len(nums) == n + 1 and len(base_n - set(nums)) == 0",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        base_n = set(range(1, n))\n        return len(nums) == n + 1 and len(base_n - set(nums)) == 0",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        if len(nums) != n + 1:\n            return False\n        nums.sort()\n        for i in range(n):\n            if nums[i] != i + 1:\n                return False\n        if nums[-1] != n:\n            return False\n        return True",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        base_n = list(range(1, n)) + [n, n]\n        return sorted(nums) == base_n",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        return len(nums) == n + 1 and sorted(nums) == [1, 2, 3] * (n // 3) + [1, 2, n] * (n % 3)",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        base_n = set(range(1, n))\n        return len(nums) == n + 1 and len(base_n - set(nums)) == 0",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        return len(nums) == n + 1 and sorted(nums) == [1, 2, 3] * (n // 3) + [1, 2, n] * (n % 3)",
                "class Solution:\n    def isGood(self, nums: List[int]) -> bool:\n        n = max(nums)\n        if len(nums) != n + 1:\n            return False\n        nums.sort()\n        for i in range(n):\n            if nums[i] != i + 1:\n                return False\n        return nums[-2:] == [n, n]"
            ],
            "pass1_list": [
                false,
                false,
                true,
                true,
                true,
                true,
                false,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1] + nums[i], dp[max(0, i - 2)] + nums[i] - (x if nums[i] % 2 != nums[i - 1] % 2 else 0))\n\n        return dp[n - 1]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1] + nums[i], dp[max(0, i - 2)] + nums[i] - (x if nums[i] % 2 != nums[i - 1] % 2 else 0))\n        return dp[n - 1]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        odd = [0] * n\n        even = [0] * n\n\n        odd[0] = nums[0]\n        even[0] = nums[0]\n\n        for i in range(1, n):\n            odd[i] = max(odd[i - 1] + nums[i], even[i - 1] - x + nums[i])\n            even[i] = max(even[i - 1] + nums[i], odd[i - 1] - x + nums[i])\n\n        return max(odd[n - 1], even[n - 1])",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1] + nums[i], dp[max(0, i - 2)] + nums[i] - (1 if nums[i - 1] % 2 != nums[i] % 2 else 0) * x)\n\n        return dp[n - 1]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1] + nums[i], dp[max(0, i - 2)] + nums[i] - (x if nums[i - 1] % 2 != nums[i] % 2 else 0))\n        return dp[n - 1]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        odd_pos = [i for i, num in enumerate(nums) if num % 2 != 0]\n        even_pos = [i for i, num in enumerate(nums) if num % 2 == 0]\n\n        dp = [0] * (n + 1)\n        for i in range(n - 1, -1, -1):\n            dp[i] = nums[i] + max(dp[i + 1], 0)\n            if odd_pos and odd_pos[-1] == i:\n                dp[i] = max(dp[i], dp[i + 1] - x)\n            if even_pos and even_pos[-1] == i:\n                dp[i] = max(dp[i], dp[i + 1])\n\n        return dp[0]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1] + nums[i], dp[max(0, i - 2)] + nums[i] - (x if nums[i] % 2 != nums[i - 1] % 2 else 0))\n        return dp[n - 1]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1], dp[max(0, i - 2)] + nums[i])\n            if nums[i] % 2 != nums[i - 1] % 2:\n                dp[i] -= x\n\n        return max(dp)",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1], dp[max(0, i - 2)] + nums[i])\n            if nums[i] % 2 != nums[i - 1] % 2:\n                dp[i] -= x\n        return dp[n - 1]",
                "class Solution:\n    def maxScore(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = nums[0]\n        for i in range(1, n):\n            dp[i] = max(dp[i - 1] + nums[i], dp[max(j for j in range(i) if nums[j] % 2 != nums[i])] + nums[i] - x)\n        return dp[n - 1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum > 0 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_digit_map = {}\n        max_sum = -1\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = str(num).rjust(5, '0')[0]\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum > 0 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = str(num)[0]\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum > 0 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum > 0 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum != -1 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum > 0 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum != -1 else -1",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_digit_map = {}\n        max_sum = -1\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int]) -> int:\n        max_sum = -1\n        max_digit_map = {}\n\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            if max_digit not in max_digit_map:\n                max_digit_map[max_digit] = num\n            else:\n                max_sum = max(max_sum, num + max_digit_map[max_digit])\n\n        return max_sum if max_sum > 0 else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = 0 if num % modulo != k else count + 1\n            cnt = (cnt + 1) % modulo if num % modulo == k else cnt\n            res += cnt == k\n\n        return res",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = (count + 1) if num % modulo == k else 0\n            if count % modulo == k:\n                cnt += 1\n\n        return cnt",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = 0 if num % modulo != k else count + 1\n            cnt = (cnt + 1) % modulo\n            if count % modulo == k:\n                res += 1\n\n        return res",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = 0 if num % modulo != k else count + 1\n            cnt = (cnt + 1) % modulo if num % modulo == k else cnt\n            res += cnt == k\n\n        return res",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = 0 if num % modulo != k else 1\n            cnt = (cnt + 1) % modulo if num % modulo == k else cnt\n            res += cnt == k\n\n        return res",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = 0 if num % modulo != k else 1\n            cnt = (cnt + 1) % modulo if num % modulo == k else cnt\n            res += cnt == k\n\n        return res",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        def count(nums, modulo, k):\n            cnt = 0\n            for num in nums:\n                if num % modulo == k:\n                    cnt = (cnt + 1) % modulo\n            return cnt\n\n        n = len(nums)\n        ans = 0\n        for i in range(n):\n            for j in range(i, n):\n                if count(nums[i:j+1], modulo, k) == k:\n                    ans += 1\n        return ans",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            if num % modulo == k:\n                count = (count + 1) % modulo\n            else:\n                count = 0\n\n            if count == k:\n                cnt += 1\n\n        return cnt",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            count = 0 if num % modulo != k else count + 1\n            cnt = (cnt + 1) % modulo if num % modulo == k else cnt\n            res += cnt == k\n\n        return res",
                "class Solution:\n    def countInterestingSubarrays(self, nums: List[int], modulo: int, k: int) -> int:\n        cnt = 0\n        count = 0\n        res = 0\n\n        for num in nums:\n            if num % modulo == k:\n                count = (count + 1) % modulo\n            else:\n                count = 0\n\n            if count == k:\n                cnt += 1\n\n        return cnt"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(idx, remaining_splits):\n            if remaining_splits == 0:\n                return True\n            for i in range(idx, len(nums)):\n                if i == len(nums) - 1 or i == idx:\n                    if nums[idx] >= m or nums[i] >= m:\n                        if check(i + 1, remaining_splits - 1):\n                            return True\n                elif nums[idx] + nums[i] >= m:\n                    if check(i + 1, remaining_splits - 1):\n                        return True\n            return False\n\n        return check(0, len(nums) - 1)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(idx, rem, cnt):\n            if rem == 0:\n                return cnt == 1\n            if rem == 1:\n                return True\n            for i in range(idx, len(nums) - rem + 1 + (rem != 1)):\n                if i > idx and nums[idx] < m:\n                    continue\n                if i + rem - 1 < len(nums) and nums[-1] < m:\n                    break\n                if check(i + 1, rem - (i + rem - 1 - idx), cnt + 1):\n                    return True\n            return False\n\n        return check(0, len(nums), 0)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(idx, rem, cnt):\n            if rem == 0:\n                return cnt == 1\n            if rem == 1:\n                return True\n            for i in range(idx, len(nums) - rem + 1 + 1):\n                if i + rem - 1 > len(nums) or nums[i] + check(i + 1, rem - 1, cnt + 1) >= m:\n                    return True\n            return False\n\n        return check(0, len(nums), 0)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def can_split(index, remaining_arrays, current_sum):\n            if remaining_arrays == 1:\n                return True\n            if current_sum >= m:\n                return can_split(index + 1, remaining_arrays - 1, 0)\n            for i in range(index, len(nums)):\n                if i == len(nums) - 1 or nums[i] + nums[i + 1] >= m:\n                    if can_split(i + 1, remaining_arrays, current_sum + nums[i]):\n                        return True\n            return False\n\n        return can_split(0, len(nums), 0)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(i, j, cnt):\n            if i >= j:\n                return cnt == 1\n            if (nums[i] + nums[j]) // 2 >= m:\n                return check(i + 1, j, cnt + 1) or check(i, j - 1, cnt + 1)\n            return check(i + 1, j, cnt + 1) and check(i, j - 1, cnt + 1)\n\n        return check(0, len(nums) - 1, 1)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(index, remaining_splits, curr_sum):\n            if remaining_splits == 0:\n                return True\n            if curr_sum >= m:\n                return check(index + 1, remaining_splits - 1, 0)\n            for i in range(index, len(nums)):\n                if check(i + 1, remaining_splits, curr_sum + nums[i]):\n                    return True\n            return False\n\n        return check(0, len(nums) - 1, 0)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(idx, rem, cnt):\n            if rem == 0:\n                return cnt == 1\n            if rem == 1:\n                return True\n            for i in range(idx, len(nums) - rem + 1 + (rem > 1)):\n                if i > idx and nums[idx - 1] < m:\n                    continue\n                if nums[i - 1] >= m or check(i, rem - 1 - (i > idx), cnt + 1):\n                    return True\n            return False\n\n        return check(0, len(nums), 0)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(index, remaining_splits, curr_sum):\n            if remaining_splits == 0:\n                return True\n            if curr_sum >= m:\n                return check(index + 1, remaining_splits - 1, 0)\n            for i in range(index, len(nums)):\n                if check(i + 1, remaining_splits, curr_sum + nums[i]):\n                    return True\n            return False\n\n        return check(0, len(nums) - 1, 0)",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def can_split(index, remaining_arrays):\n            if remaining_arrays == 1:\n                return True\n            for i in range(index, len(nums)):\n                if i == len(nums) - 1 or nums[i] < m:\n                    if can_split(i + 1, remaining_arrays - 1):\n                        return True\n                elif nums[i] - nums[index] >= m or nums[i + 1 :].count(1) >= remaining_arrays - 1:\n                    return True\n            return False\n\n        return can_split(0, len(nums))",
                "class Solution:\n    def canSplitArray(self, nums: List[int], m: int) -> bool:\n        def check(index, remaining_splits, curr_sum):\n            if remaining_splits == 0:\n                return True\n            if curr_sum >= m:\n                return check(index + 1, remaining_splits - 1, 0)\n            for i in range(index, len(nums)):\n                if check(i + 1, remaining_splits, curr_sum + nums[i]):\n                    return True\n            return False\n\n        return check(0, len(nums) - 1, 0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPairs(self, nums: List[int], target: int) -> int:\n        count = 0\n        n = len(nums)\n        \n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[i] + nums[j] < target:\n                    count += 1\n        \n        return count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        usageLimits.sort(key=lambda x: x / (len(usageLimits) - 1))\n        groups = 0\n        prev_group_size = 0\n        for limit in usageLimits:\n            if limit <= prev_group_size:\n                break\n            groups += 1\n            prev_group_size += 1\n        return groups",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        usageLimits.sort(key=lambda x: -x)\n        group_count = 1\n        group_size = 1\n\n        for i in range(1, len(usageLimits)):\n            if usageLimits[i] < usageLimits[i - 1]:\n                group_count += 1\n                group_size = 1\n            else:\n                group_size += 1\n\n        return min(group_count + 1, usageLimits[0])",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        n = len(usageLimits)\n        counts = sorted(range(n), key=lambda i: usageLimits[i], reverse=True)\n        max_groups = 1\n        prev_group_size = 1\n\n        for i in range(n):\n            group_size = min(usageLimits[counts[i]], prev_group_size + 1)\n            usageLimits[counts[i]] -= group_size\n            prev_group_size = group_size\n            if usageLimits[counts[i]] == 0:\n                max_groups += 1\n\n        return max_groups",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        n = len(usageLimits)\n        usageLimits.sort(key=lambda x: x / (n - 1))\n        groups = 0\n        prev_group_size = 0\n        for limit in usageLimits:\n            if limit >= groups:\n                groups += 1\n                prev_group_size = max(prev_group_size + 1, limit // (groups - 1))\n            else:\n                break\n        return groups",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        n = len(usageLimits)\n        usageLimits.sort(key=lambda x: x / (n - 1))\n        groups = 0\n        prev_group_size = 0\n        for limit in usageLimits:\n            group_size = min(limit, n - 1)\n            if group_size > prev_group_size:\n                groups += 1\n                prev_group_size = group_size\n            limit -= group_size\n            n -= 1\n        return groups",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        usageLimits.sort(key=lambda x: -x)\n        max_groups = 1\n        prev_group_size = 1\n\n        for limit in usageLimits:\n            if limit >= prev_group_size:\n                max_groups += 1\n                prev_group_size += 1\n\n        return max_groups",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        usageLimits.sort(key=lambda x: -x)\n        group_count, group_size, n = 0, 0, len(usageLimits)\n\n        for i in range(n):\n            if group_size < usageLimits[i]:\n                group_count += 1\n                group_size = usageLimits[i]\n\n        return group_count",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        n = len(usageLimits)\n        counts = sorted(usageLimits, key=lambda x: -x)\n        max_groups = 1\n        prev_group_size = 1\n\n        for i in range(1, n):\n            if counts[i] >= counts[i - 1]:\n                prev_group_size += 1\n            else:\n                max_groups += 1\n                prev_group_size = 1\n\n        return max_groups",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        n = len(usageLimits)\n        usageLimits.sort(key=lambda x: -x)\n        dp = [1] * n\n        for i in range(n):\n            for j in range(i):\n                if usageLimits[j] < usageLimits[i]:\n                    dp[i] = max(dp[i], dp[j] + 1)\n        return max(dp)",
                "class Solution:\n    def maxIncreasingGroups(self, usageLimits: List[int]) -> int:\n        usageLimits.sort(key=lambda x: x / (len(usageLimits) - 1))\n        groups = 0\n        prev_group_size = 0\n        for limit in usageLimits:\n            if limit <= prev_group_size:\n                break\n            groups += 1\n            prev_group_size += 1\n        return groups"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n\n        # Find the first and last occurrences of each unique value in the array\n        value_positions = {}\n        for i, num in enumerate(nums):\n            if num not in value_positions:\n                value_positions[num] = [i, i]\n            else:\n                value_positions[num][0] = min(value_positions[num][0], i)\n                value_positions[num][1] = max(value_positions[num][1], i)\n\n        # Initialize the answer to the maximum possible value\n        ans = n\n\n        # Check if we can equalize the array in less than n seconds\n        for num, (first, last) in value_positions.items():\n            # Calculate the number of seconds needed to make all elements equal to 'num'\n            seconds = max(0, (last - first + 1) // 2)\n            ans = min(ans, seconds)\n\n        return ans",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n        \n        # Find the first occurrence of the smallest element\n        smallest = min(nums)\n        first_smallest = nums.index(smallest)\n        \n        # Find the last occurrence of the smallest element\n        last_smallest = len(nums) - 1 - nums[::-1].index(smallest)\n        \n        # Calculate the number of seconds needed to equalize the array\n        return max(0, (first_smallest + last_smallest - 1) // n)",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n        \n        # Calculate the frequency of each integer in the array\n        freq = {}\n        for num in nums:\n            if num in freq:\n                freq[num] += 1\n            else:\n                freq[num] = 1\n        \n        # If there are more than 2 unique integers, return infinity as it is impossible to equalize\n        if len(freq) > 2:\n            return float('inf')\n        \n        # If there are 2 unique integers, find the distance between them\n        a, b = freq.keys()\n        dist = abs(a - b)\n        \n        # Initialize the answer as the distance divided by the length of the array\n        ans = dist // n\n        \n        # Check if we need one more operation to equalize\n        if dist % n != 0:\n            ans += 1\n        \n        return ans",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n\n        # Find the first occurrence of the smallest element\n        smallest_elem = min(nums)\n        first_occurrence = nums.index(smallest_elem)\n\n        # Shift the array so that the smallest element is at the beginning\n        nums = nums[-1:] + nums[:-1]\n\n        # Find the last occurrence of the smallest element\n        last_occurrence = len(nums) - 1 - nums[::-1].index(smallest_elem)\n\n        # The minimum number of seconds needed is the difference between the last and first occurrences\n        return last_occurrence - first_occurrence",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n        \n        # Calculate the frequency of each integer in the array\n        freq = {}\n        for num in nums:\n            if num in freq:\n                freq[num] += 1\n            else:\n                freq[num] = 1\n        \n        # If there are more than 2 unique integers, return infinity as it is not possible to equalize\n        if len(freq) > 2:\n            return float('inf')\n        \n        # If there are 2 unique integers, find the distance between them\n        a, b = freq.keys()\n        dist = abs(a - b)\n        \n        # Initialize the answer as infinity\n        ans = float('inf')\n        \n        # Check all possible \"pivots\" i.e., the index where the integers change\n        for i in range(n):\n            left = nums[i]\n            right = nums[(i + 1) % n]\n            if left != right:\n                # Calculate the minimum number of seconds to equalize the array\n                seconds = max(0, dist - (n - 1))\n                ans = min(ans, seconds)\n        \n        return ans",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n        \n        # Calculate the frequency of each integer in the array\n        freq = {}\n        for num in nums:\n            if num in freq:\n                freq[num] += 1\n            else:\n                freq[num] = 1\n        \n        # If there are more than 2 unique integers, return infinity as it is impossible to equalize\n        if len(freq) > 2:\n            return float('inf')\n        \n        # Find the two unique integers and their frequencies\n        num1, num2 = list(freq.keys())\n        f1, f2 = freq[num1], freq[num2]\n        \n        # If only one unique integer, return 0\n        if f1 == n:\n            return 0\n        \n        # Calculate the minimum number of seconds to equalize\n        if f1 == 1:\n            return f2 - f1\n        elif f2 == 1:\n            return f1 - f2\n        else:\n            return min(f1 - 1, f2 - 1)",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n        \n        # Calculate the frequency of each integer in the array\n        freq = {}\n        for num in nums:\n            if num in freq:\n                freq[num] += 1\n            else:\n                freq[num] = 1\n        \n        # If there are more than 2 unique integers, return infinity as it is impossible to equalize\n        if len(freq) > 2:\n            return float('inf')\n        \n        # If there are 2 unique integers, find the distance between them\n        a, b = freq.keys()\n        dist = abs(a - b)\n        \n        # Initialize the answer as infinity\n        ans = float('inf')\n        \n        # Check all possible differences between the integers and n to find the minimum number of seconds\n        for i in range(1, n):\n            if dist % i == 0:\n                ans = min(ans, (n + i - 1) // i)\n        \n        return ans if ans != float('inf') else 0",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n\n        # Find the unique elements in the array\n        unique_nums = list(set(nums))\n        num_unique_nums = len(unique_nums)\n\n        # If there are only two unique elements, we can solve it in a specific way\n        if num_unique_nums == 2:\n            count1 = nums.count(unique_nums[0])\n            count2 = n - count1\n            if min(count1, count2) == 1:\n                return 1\n            else:\n                return 2\n\n        # For more than two unique elements, we can use a greedy algorithm\n        # Keep track of the current count of each unique element\n        counts = [0] * num_unique_nums\n        for num in nums:\n            counts[unique_nums.index(num)] += 1\n\n        # Initialize the result to a large value\n        result = n\n\n        # Try to equalize the array by moving left or right\n        for i in range(n):\n            left_num = unique_nums[i]\n            right_num = unique_nums[(i + 1) % num_unique_nums]\n            left_count = counts[i]\n            right_count = n - left_count\n\n            # Try moving left\n            if left_count <= right_count:\n                result = min(result, right_count)\n\n            # Try moving right\n            else:\n                result = min(result, left_count)\n\n        return result",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n\n        # Find the first occurrence of the smallest element\n        smallest = min(nums)\n        first_smallest = nums.index(smallest)\n\n        # Find the last occurrence of the smallest element\n        last_smallest = len(nums) - 1 - nums[::-1].index(smallest)\n\n        # Calculate the number of seconds needed to equalize the array\n        return max(0, min(first_smallest, last_smallest) - 1, n - 1 - last_smallest)",
                "class Solution:\n    def minimumSeconds(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 0\n        \n        # Count the occurrences of each unique value\n        counts = {}\n        for num in nums:\n            if num not in counts:\n                counts[num] = 0\n            counts[num] += 1\n        \n        # If there is only one unique value, no operations are needed\n        if len(counts) == 1:\n            return 0\n        \n        # Initialize the answer as infinite\n        ans = float('inf')\n        \n        # Check if we can equalize the array by moving left or right once\n        for i in range(n):\n            left_value = nums[(i - 1 + n) % n]\n            right_value = nums[(i + 1) % n]\n            if counts[left_value] == n - 1 or counts[right_value] == n - 1:\n                ans = 1\n                break\n        \n        # Check if we can equalize the array by moving left or right twice\n        for i in range(n):\n            left_value = nums[(i - 2 + n) % n]\n            right_value = nums[(i + 2) % n]\n            if counts.get(left_value, 0) + counts.get(right_value, 0) == n - 1:\n                ans = 2\n                break\n        \n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n\n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for i in range(len(low), len(high) + 1):\n                for j in range(10 ** (i - 1), 10 ** i):\n                    num = str(j)\n                    if len(num) < i:\n                        num = \"0\" * (i - len(num)) + num\n                    if num >= low and num <= high and is_stepping(num):\n                        count += 1\n            return count\n\n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n\n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for num in range(int(low), int(high) + 1):\n                num_str = str(num)\n                if is_stepping(num_str):\n                    count += 1\n            return count\n\n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            num = num[1:] if num[0] == '0' else num\n            prev_digit = num[0]\n            for digit in num[1:]:\n                if abs(int(prev_digit) - int(digit)) != 1:\n                    return False\n                prev_digit = digit\n            return True\n        \n        count = 0\n        for num in range(int(low), int(high) + 1):\n            num_str = str(num)\n            if is_stepping(num_str):\n                count += 1\n        \n        return count % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n        \n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for i in range(len(low), len(high) + 1):\n                for j in range(10 ** (i - 1), 10 ** i):\n                    num = str(j)\n                    if len(num) == i and is_stepping(num) and int(low) <= j <= int(high):\n                        count = (count + 1) % (10**9 + 7)\n            return count\n        \n        return count_stepping_numbers_in_range(low, high)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n        \n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for i in range(len(low), len(high) + 1):\n                for j in range(10 ** (i - 1), 10 ** i):\n                    num = str(j)\n                    if len(num) == i and is_stepping(num) and low <= num <= high:\n                        count += 1\n            return count\n        \n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n        \n        def count_stepping_numbers_in_range(start: str, end: str) -> int:\n            count = 0\n            for i in range(len(start)):\n                for j in range(i + 1):\n                    digit = int(start[i]) - j\n                    if digit >= 0:\n                        new_start = start[:i] + str(digit) + \"0\" * (len(start) - i - 1)\n                        new_end = end\n                        if i < len(end):\n                            new_end = end[:i] + str(digit + 1) + \"9\" * (len(end) - i - 1)\n                        count += (\n                            count_stepping_numbers_in_range(new_start, new_end)\n                            if new_start <= new_end\n                            else 0\n                        )\n            return count % (10**9 + 7)\n        \n        return count_stepping_numbers_in_range(low, high)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n\n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for i in range(len(low), len(high) + 1):\n                for j in range(10 ** (i - 1), 10 ** i):\n                    num = str(j)\n                    if len(num) < i:\n                        num = \"0\" * (i - len(num)) + num\n                    if num >= low and num <= high and is_stepping(num):\n                        count += 1\n            return count\n\n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n\n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for num in range(int(low), int(high) + 1):\n                num_str = str(num)\n                if is_stepping(num_str):\n                    count += 1\n            return count\n\n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n        \n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for i in range(len(low), len(high) + 1):\n                for j in range(10 ** (i - 1), 10 ** i):\n                    temp_str = str(j)\n                    if len(temp_str) < i:\n                        temp_str = \"0\" * (i - len(temp_str)) + temp_str\n                    if is_stepping(temp_str) and int(temp_str) >= int(low) and int(temp_str) <= int(high):\n                        count += 1\n            return count\n        \n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)",
                "class Solution:\n    def countSteppingNumbers(self, low: str, high: str) -> int:\n        def is_stepping(num: str) -> bool:\n            for i in range(1, len(num)):\n                if abs(int(num[i]) - int(num[i - 1])) != 1:\n                    return False\n            return True\n\n        def count_stepping_numbers_in_range(low: str, high: str) -> int:\n            count = 0\n            for i in range(len(low), len(high) + 1):\n                for j in range(10 ** (i - 1), 10 ** i):\n                    num = str(j)\n                    if len(num) < i:\n                        num = \"0\" * (i - len(num)) + num\n                    if num >= low and num <= high and is_stepping(num):\n                        count += 1\n            return count\n\n        return count_stepping_numbers_in_range(low, high) % (10**9 + 7)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(\n                (num1 + time * num2 for num1, num2 in zip(nums1, nums2))\n            )\n            return sum_nums1 <= x\n\n        left, right = 0, sum(nums1) + sum(nums2) * (len(nums1) - 1)\n        while left < right:\n            mid = left + (right - left) // 2\n            if can_reach(mid):\n                right = mid\n            else:\n                left = mid + 1\n        return left if left < len(nums1) else -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(min(time, num1) + num2 * time for num1, num2 in zip(nums1, nums2))\n            return sum_nums1 <= x\n\n        left, right = 0, sum(num1 + num2 for num1, num2 in zip(nums1, nums2))\n        if can_reach(right):\n            return right\n\n        while left < right:\n            mid = left + (right - left) // 2\n            if can_reach(mid):\n                right = mid\n            else:\n                left = mid + 1\n\n        return -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        max_time = sum(nums1)\n        \n        for i in range(len(nums1)):\n            max_time += nums2[i] * (len(nums1) - 1 - i)\n        \n        if sum(nums1) > x or max_time > x:\n            return -1\n        \n        left, right = 0, max_time\n        while left < right:\n            mid = left + (right - left) // 2\n            total_sum = sum(nums1)\n            for i in range(len(nums1)):\n                time_passed = mid // (i + 1)\n                total_sum += nums2[i] * time_passed\n                if total_sum > x:\n                    break\n                mid -= time_passed\n            if total_sum <= x:\n                right = mid\n            else:\n                left = mid + 1\n                \n        return left",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(min(time, num1) + num2 * time for num1, num2 in zip(nums1, nums2))\n            return sum_nums1 <= x\n\n        left, right = 0, sum(num1 + num2 for num1, num2 in zip(nums1, nums2))\n        if can_reach(right):\n            return right\n\n        while left < right:\n            mid = left + (right - left + 1) // 2\n            if can_reach(mid):\n                right = mid - 1\n            else:\n                left = mid\n\n        return left if left > 0 else -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(min(time, num1 + time * num2) for num1, num2 in zip(nums1, nums2))\n            return sum_nums1 <= x\n\n        left, right = 0, 10**6\n        while left < right:\n            mid = left + (right - left) // 2\n            if can_reach(mid):\n                right = mid\n            else:\n                left = mid + 1\n\n        return left if left < 10**6 else -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(min(time, num1 + time * num2) for num1, num2 in zip(nums1, nums2))\n            return sum_nums1 <= x\n\n        left, right = 0, max(nums1) * max(nums2)\n        while left < right:\n            mid = left + (right - left) // 2\n            if can_reach(mid):\n                right = mid\n            else:\n                left = mid + 1\n\n        return left if left < max(nums1) * max(nums2) else -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(min(time, num1 + time * num2) for num1, num2 in zip(nums1, nums2))\n            return sum_nums1 <= x\n\n        left, right = 0, sum(num1 + x * num2 for num1, num2 in zip(nums1, nums2))\n        while left < right:\n            mid = left + (right - left) // 2\n            if can_reach(mid):\n                right = mid\n            else:\n                left = mid + 1\n        return left if left < 10**4 else -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        max_time = sum(nums1) + sum(nums2) * (len(nums1) - 1)\n\n        if max_time > x:\n            return -1\n\n        left, right = 0, max_time\n        while left < right:\n            mid = left + (right - left) // 2\n            if self.can_reach(mid, nums1, nums2, x):\n                right = mid\n            else:\n                left = mid + 1\n\n        return left if left <= max_time else -1\n\n    def can_reach(self, time: int, nums1: List[int], nums2: List[int], x: int) -> bool:\n        for i in range(len(nums1)):\n            temp_sum = sum(nums1) + nums2[i] * time\n            if temp_sum <= x:\n                return True\n            nums1[i] = 0\n            temp_sum = sum(nums1) + nums2[i] * (time - 1)\n            if temp_sum <= x:\n                return True\n\n        return False",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        n = len(nums1)\n        dp = [float('inf')] * (x + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            new_dp = [float('inf')] * (x + 1)\n            for j in range(x + 1):\n                if j - nums1[i] - 1 >= 0:\n                    new_dp[j] = min(new_dp[j], dp[j - nums1[i] - 1] + 1)\n                if j + nums2[i] <= x:\n                    new_dp[j + nums2[i]] = min(new_dp[j + nums2[i]], dp[j] + 1)\n            dp = new_dp\n\n        return dp[-1] if dp[-1] != float('inf') else -1",
                "class Solution:\n    def minimumTime(self, nums1: List[int], nums2: List[int], x: int) -> int:\n        def can_reach(time: int) -> bool:\n            sum_nums1 = sum(min(time, num1) + num2 * time for num1, num2 in zip(nums1, nums2))\n            return sum_nums1 <= x\n\n        left, right = 0, sum(num1 + num2 for num1, num2 in zip(nums1, nums2))\n        if can_reach(right):\n            return right\n\n        while left < right:\n            mid = left + (right - left) // 2\n            if can_reach(mid):\n                right = mid\n            else:\n                left = mid + 1\n\n        return -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        def count_pairs(p, dist):\n            count = 0\n            distance_count = {}\n            for i in range(len(p)):\n                for j in range(i + 1, len(p)):\n                    d = get_distance(p[i], p[j])\n                    distance_count[d] = distance_count.get(d, 0) + 1\n            return distance_count.get(dist, 0)\n\n        n = len(coordinates)\n        p1 = coordinates[:n // 2]\n        p2 = coordinates[n // 2:]\n\n        return count_pairs(p1, k) + count_pairs(p2, k) - count_pairs(coordinates, k)",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        def count_pairs(dist):\n            count = 0\n            for i in range(len(coordinates)):\n                for j in range(i + 1, len(coordinates)):\n                    if get_distance(coordinates[i], coordinates[j]) == dist:\n                        count += 1\n            return count // 2\n\n        return count_pairs(k)",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(pt1, pt2):\n            return (pt1[0] ^ pt2[0]) + (pt1[1] ^ pt2[1])\n\n        def count_pairs(dist):\n            count = 0\n            for i in range(len(coordinates)):\n                for j in range(i + 1, len(coordinates)):\n                    if get_distance(coordinates[i], coordinates[j]) == dist:\n                        count += 1\n            return count\n\n        return count_pairs(k)",
                "class Solution:\n    def countPairs(self, coordinates: List[List[int]], k: int) -> int:\n        def get_distance(p1, p2):\n            return (p1[0] ^ p2[0]) + (p1[1] ^ p2[1])\n\n        count = 0\n        for i in range(len(coordinates)):\n            for j in range(i + 1, len(coordinates)):\n                if get_distance(coordinates[i], coordinates[j]) == k:\n                    count += 1\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        window_sum = 0\n        freq = {}\n\n        for i in range(n):\n            window_sum += nums[i]\n            freq[nums[i]] = freq.get(nums[i], 0) + 1\n\n            if i >= k:\n                if len(freq) >= m:\n                    max_sum = max(max_sum, window_sum)\n                window_sum -= nums[i - k]\n                freq[nums[i - k]] -= 1\n                if freq[nums[i - k]] == 0:\n                    del freq[nums[i - k]]\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        window_sums = []\n        max_sum = 0\n        window_set = set()\n        window_sum = 0\n\n        for i in range(len(nums)):\n            window_sum += nums[i]\n            window_set.add(nums[i])\n\n            if i >= k:\n                window_sum -= nums[i - k]\n                window_set.discard(nums[i - k])\n\n            if len(window_set) >= m:\n                max_sum = max(max_sum, window_sum)\n\n            if i >= k - 1:\n                window_sums.append(window_sum)\n\n        return max_sum if max_sum else 0",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        window_sum = 0\n        mp = {}\n\n        for i in range(n):\n            window_sum += nums[i]\n            mp[nums[i]] = mp.get(nums[i], 0) + 1\n\n            if i >= k:\n                mp[nums[i - k]] -= 1\n                if mp[nums[i - k]] == 0:\n                    del mp[nums[i - k]]\n\n                window_sum -= nums[i - k]\n\n            if i >= k - 1 and len(mp) >= m:\n                max_sum = max(max_sum, window_sum)\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        window_sums = []\n        max_sum = 0\n        for i in range(len(nums)):\n            window_sums.append(nums[i])\n            if i >= k:\n                window_sums.pop(0)\n            if i >= k - 1:\n                if len(set(window_sums)) >= m:\n                    max_sum = max(max_sum, sum(window_sums))\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        window_sums = []\n        max_sum = 0\n        window_sum = 0\n        freq = {}\n\n        for num in nums:\n            window_sum += num\n            freq[num] = freq.get(num, 0) + 1\n\n            if len(freq) >= m:\n                window_sums.append(window_sum)\n                window_sum -= nums[nums.index(num)]\n                del nums[nums.index(num)]\n                del freq[num]\n\n            if len(window_sums) >= k:\n                window_sum += nums[nums.index(window_sums[0])]\n                window_sum -= window_sums.pop(0)\n                freq[nums[nums.index(window_sum)]] -= 1\n                del nums[nums.index(window_sum)]\n\n        for i in range(len(window_sums) - k + 1):\n            max_sum = max(max_sum, window_sums[i] + sum(nums))\n\n        return max_sum if max_sum else 0",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        window_sum = 0\n        mp = {}\n\n        for i in range(n):\n            window_sum += nums[i]\n            mp[nums[i]] = mp.get(nums[i], 0) + 1\n\n            if i >= k:\n                mp[nums[i - k]] -= 1\n                if mp[nums[i - k]] == 0:\n                    del mp[nums[i - k]]\n\n                window_sum -= nums[i - k]\n\n            if i >= k - 1 and len(mp) >= m:\n                max_sum = max(max_sum, window_sum)\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        window_sum = 0\n        mp = {}\n\n        for i in range(n):\n            window_sum += nums[i]\n            mp[nums[i]] = mp.get(nums[i], 0) + 1\n\n            if i >= k:\n                mp[nums[i - k]] -= 1\n                if mp[nums[i - k]] == 0:\n                    del mp[nums[i - k]]\n\n                window_sum -= nums[i - k]\n\n            if i >= k - 1:\n                if len(mp) >= m:\n                    max_sum = max(max_sum, window_sum)\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        window_sums = []\n        max_sum = 0\n        window_sum = 0\n        mp = {}\n\n        for i in range(len(nums)):\n            window_sum += nums[i]\n            if nums[i] not in mp:\n                mp[nums[i]] = 1\n            else:\n                mp[nums[i]] += 1\n\n            if i >= k:\n                if len(mp) >= m:\n                    max_sum = max(max_sum, window_sum)\n                window_sum -= nums[i - k]\n                mp[nums[i - k]] -= 1\n                if mp[nums[i - k]] == 0:\n                    del mp[nums[i - k]]\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        window_sum = 0\n        mp = {}\n\n        for i in range(n):\n            window_sum += nums[i]\n            mp[nums[i]] = mp.get(nums[i], 0) + 1\n\n            if i >= k:\n                mp[nums[i - k]] -= 1\n                if mp[nums[i - k]] == 0:\n                    del mp[nums[i - k]]\n\n                window_sum -= nums[i - k]\n\n            if i >= k - 1:\n                if len(mp) >= m:\n                    max_sum = max(max_sum, window_sum)\n\n        return max_sum",
                "class Solution:\n    def maxSum(self, nums: List[int], m: int, k: int) -> int:\n        window_sums = []\n        max_sum = 0\n        window_set = set()\n        window_sum = 0\n\n        for i in range(len(nums)):\n            window_sum += nums[i]\n            window_set.add(nums[i])\n\n            if i >= k:\n                window_sum -= nums[i - k]\n                window_set.discard(nums[i - k])\n\n            if len(window_set) >= m:\n                window_sums.append(window_sum)\n\n            if i >= k - 1:\n                max_sum = max(max_sum, window_sum)\n\n        return max_sum if window_sums else 0"
            ],
            "pass1_list": [
                false,
                true,
                true,
                false,
                false,
                true,
                true,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount",
                "class Solution:\n    def accountBalanceAfterPurchase(self, purchaseAmount: int) -> int:\n        rounded_amount = purchaseAmount // 10 * 10\n        if purchaseAmount % 10 >= 5:\n            rounded_amount += 10\n        return 100 - rounded_amount"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\"\n        for word in words:\n            acronym += word[0]\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\".join(word[0] for word in words)\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\"\n        for word in words:\n            acronym += word[0]\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\".join(word[0] for word in words)\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\"\n        for word in words:\n            acronym += word[0]\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\"\n        for word in words:\n            acronym += word[0]\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\"\n        for word in words:\n            acronym += word[0]\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\".join(word[0] for word in words)\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\".join(word[0] for word in words)\n        return acronym == s",
                "class Solution:\n    def isAcronym(self, words: List[str], s: str) -> bool:\n        acronym = \"\".join(word[0] for word in words)\n        return acronym == s"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: x[1], reverse=True)\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: x[1], reverse=True)\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: x[1], reverse=True)\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], (gold if i == start else dp[i] + gold))\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            dp[end] = max(dp[end], dp[start] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)",
                "class Solution:\n    def maximizeTheProfit(self, n: int, offers: List[List[int]]) -> int:\n        offers.sort(key=lambda x: (x[1], -x[2]))\n        dp = [0] * n\n        for start, end, gold in offers:\n            for i in range(start, end + 1):\n                dp[i] = max(dp[i], dp[start - 1] + gold)\n        return max(dp)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count",
                "class Solution:\n    def countSymmetricIntegers(self, low: int, high: int) -> int:\n        count = 0\n        for i in range(low, high + 1):\n            n = len(str(i))\n            if n % 2 != 0:\n                continue\n            first_half = int(str(i)[:n // 2])\n            second_half = int(str(i)[n // 2:])\n            if first_half + second_half == i:\n                count += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_pairs = [s1[i:i + 2] for i in range(0, len(s1), 2)]\n        s2_pairs = [s2[i:i + 2] for i in range(0, len(s2), 2)]\n        s1_pairs.sort()\n        s2_pairs.sort()\n        return s1_pairs == s2_pairs",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1 = list(s1)\n        s2 = list(s2)\n\n        for i in range(0, 4, 2):\n            s1[i], s1[i + 1] = s1[i + 1], s1[i]\n\n        for i in range(0, 4, 2):\n            s2[i], s2[i + 1] = s2[i + 1], s2[i]\n\n        return s1 == s2",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_freq = [0] * 26\n        s2_freq = [0] * 26\n\n        for i in range(4):\n            if i % 2 == 0:\n                s1_freq[ord(s1[i]) - ord('a')] += 1\n                s2_freq[ord(s2[i]) - ord('a')] += 1\n            else:\n                s1_freq[ord(s1[i]) - ord('a')] -= 1\n                s2_freq[ord(s2[i]) - ord('a')] -= 1\n\n        return s1_freq == s2_freq",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_freq = [0] * 26\n        s2_freq = [0] * 26\n        \n        for i in range(4):\n            if i % 2 == 0:\n                s1_freq[ord(s1[i]) - ord('a')] += 1\n                s2_freq[ord(s2[i]) - ord('a')] += 1\n            else:\n                s1_freq[ord(s1[i]) - ord('a')] -= 1\n                s2_freq[ord(s2[i]) - ord('a')] -= 1\n                \n        return s1_freq == s2_freq",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_freq = [0] * 26\n        s2_freq = [0] * 26\n\n        for i in range(4):\n            if i % 2 == 0:\n                s1_freq[ord(s1[i]) - ord('a')] += 1\n                s2_freq[ord(s2[i]) - ord('a')] += 1\n            else:\n                s1_freq[ord(s1[i]) - ord('a')] -= 1\n                s2_freq[ord(s2[i]) - ord('a')] -= 1\n\n        return s1_freq == s2_freq",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_pairs = [s1[i:i + 2] for i in range(0, len(s1), 2)]\n        s2_pairs = [s2[i:i + 2] for i in range(0, len(s2), 2)]\n        s1_pairs.sort()\n        s2_pairs.sort()\n        return s1_pairs == s2_pairs",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_pairs = [s1[i:i + 2] for i in range(0, len(s1), 2)]\n        s2_pairs = [s2[i:i + 2] for i in range(0, len(s2), 2)]\n        s1_pairs.sort()\n        s2_pairs.sort()\n        return s1_pairs == s2_pairs",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_freq = [0] * 26\n        s2_freq = [0] * 26\n\n        for i in range(4):\n            if i % 2 == 0:\n                s1_freq[ord(s1[i]) - ord('a')] += 1\n                s2_freq[ord(s2[i]) - ord('a')] += 1\n            else:\n                s1_freq[ord(s1[i]) - ord('a')] -= 1\n                s2_freq[ord(s2[i]) - ord('a')] -= 1\n\n        return s1_freq == s2_freq",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_freq = [0] * 26\n        s2_freq = [0] * 26\n\n        for i in range(4):\n            if i % 2 == 0:\n                s1_freq[ord(s1[i]) - ord('a')] += 1\n                s2_freq[ord(s2[i]) - ord('a')] += 1\n            else:\n                s1_freq[ord(s1[i]) - ord('a')] -= 1\n                s2_freq[ord(s2[i]) - ord('a')] -= 1\n\n        return s1_freq == s2_freq",
                "class Solution:\n    def canBeEqual(self, s1: str, s2: str) -> bool:\n        s1_freq = [0] * 26\n        s2_freq = [0] * 26\n\n        for i in range(4):\n            if i % 2 == 0:\n                s1_freq[ord(s1[i]) - ord('a')] += 1\n                s2_freq[ord(s2[i]) - ord('a')] += 1\n            else:\n                s1_freq[ord(s1[i]) - ord('a')] -= 1\n                s2_freq[ord(s2[i]) - ord('a')] -= 1\n\n        return s1_freq == s2_freq"
            ],
            "pass1_list": [
                false,
                false,
                true,
                true,
                true,
                false,
                false,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n        return result",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n        return result",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        window = sorted(nums[:x])\n        min_diff = float('inf')\n        for i in range(x, n):\n            while window and window[0] < nums[i]:\n                window.pop(0)\n            if window:\n                min_diff = min(min_diff, nums[i] - window[0])\n            window.append(nums[i])\n            if i >= x:\n                window.pop(0)\n        return min_diff if min_diff != float('inf') else -1",
                "class Solution:\n    def minAbsoluteDifference(self, nums: List[int], x: int) -> int:\n        n = len(nums)\n        result = float('inf')\n\n        for i in range(n):\n            for j in range(i + x, n):\n                result = min(result, abs(nums[i] - nums[j]))\n\n        return result if result < float('inf') else 0"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n, k):\n            digit_sum = 0\n            divisor_sum = 0\n            while n > 0:\n                digit = n % 10\n                if digit % 2 == 0:\n                    digit_sum += 1\n                else:\n                    divisor_sum += 1\n                n //= 10\n            return digit_sum == divisor_sum and n % k == 0\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n, k):\n            digit_sum = 0\n            evens = 0\n            while n > 0:\n                digit = n % 10\n                if digit % 2 == 0:\n                    evens += 1\n                digit_sum += 1\n                n //= 10\n            return n % k == 0 and digit_sum % 2 == 0 and evens == (digit_sum - evens)\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n, k):\n            digit_sum = 0\n            evens = 0\n            while n > 0:\n                digit = n % 10\n                if digit % 2 == 0:\n                    evens += 1\n                digit_sum += 1\n                n //= 10\n            return n % k == 0 and digit_sum % 2 == 0 and evens == (digit_sum - evens)\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n, k):\n            digit_sum = 0\n            evens = 0\n            while n > 0:\n                digit = n % 10\n                if digit % 2 == 0:\n                    evens += 1\n                digit_sum += 1\n                n //= 10\n            return n % k == 0 and digit_sum % 2 == 0 and evens == (digit_sum - evens)\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n: int, k: int) -> bool:\n            if n % k != 0:\n                return False\n            str_n = str(n)\n            even_count = sum(int(digit) % 2 == 0 for digit in str_n)\n            odd_count = sum(int(digit) % 2 != 0 for digit in str_n)\n            return even_count == odd_count\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n: int, k: int) -> bool:\n            digit_sum = 0\n            divisor_sum = 0\n\n            while n > 0:\n                digit = n % 10\n                divisor_sum += digit\n                if digit % 2 == 0:\n                    digit_sum += 1\n                n //= 10\n\n            return divisor_sum % k == 0 and digit_sum % 2 == 0\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n: int, k: int) -> bool:\n            # Check if the number of even and odd digits are equal\n            even_count = sum(1 for digit in str(n) if int(digit) % 2 == 0)\n            odd_count = len(str(n)) - even_count\n            if even_count != odd_count:\n                return False\n            # Check if the number is divisible by k\n            if n % k != 0:\n                return False\n            return True\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n, k):\n            digit_sum = 0\n            evens = 0\n            while n > 0:\n                digit = n % 10\n                if digit % 2 == 0:\n                    evens += 1\n                digit_sum += 1\n                n //= 10\n            return n % k == 0 and digit_sum % 2 == 0 and evens == (digit_sum - evens)\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n, k):\n            digit_sum = 0\n            even_count = 0\n            while n > 0:\n                digit = n % 10\n                if digit % 2 == 0:\n                    even_count += 1\n                digit_sum += 1 if digit % 2 == 0 else -1\n                n //= 10\n            return digit_sum == 0 and n % k == 0\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n        def is_beautiful(n: int, k: int) -> bool:\n            # Check if the number of even and odd digits are equal\n            even_count = sum(1 for digit in str(n) if int(digit) % 2 == 0)\n            odd_count = len(str(n)) - even_count\n            if even_count != odd_count:\n                return False\n            # Check if the number is divisible by k\n            if n % k != 0:\n                return False\n            return True\n\n        count = 0\n        for i in range(low, high + 1):\n            if is_beautiful(i, k):\n                count += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        i, j = 0, 0\n        str1_next = [chr((ord(ch) - ord('a') + 1) % 26 + ord('a')) for ch in str1]\n        while i < len(str1) and j < len(str2):\n            if str1[i] == str2[j]:\n                j += 1\n            i += 1\n        return j == len(str2) or (i < len(str1) and j == len(str2) - 1 and str1_next[i] == str2[-1])",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        i, j = 0, 0\n        str1_next = [chr((ord(ch) - ord('a') + 1) % 26 + ord('a')) for ch in str1]\n        while i < len(str1) and j < len(str2):\n            if str1[i] == str2[j]:\n                j += 1\n            i += 1\n        return j == len(str2) or (i < len(str1) and j == len(str2) - 1 and str1_next[i] == str2[-1])",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        i, j = 0, 0\n        str1_next = [ord(ch) + 1 for ch in str1]\n        while i < len(str1) and j < len(str2):\n            if str1[i] == str2[j]:\n                j += 1\n            elif str1_next[i] == ord(str2[j]):\n                i += 1\n                j += 1\n            i += 1\n        return j == len(str2)",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        str1_idx, str2_idx = 0, 0\n        str1_increment = False\n\n        while str1_idx < len(str1) and str2_idx < len(str2):\n            if str1[str1_idx] == str2[str2_idx]:\n                str2_idx += 1\n            elif str1[str1_idx] > str2[str2_idx]:\n                if str1_increment:\n                    return False\n                str1_increment = True\n                str1_idx = max(str1_idx, str2_idx)\n            str1_idx += 1\n\n        return str2_idx == len(str2)",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        i, j = 0, 0\n        str1_incremented = False\n\n        while i < len(str1) and j < len(str2):\n            if str1[i] == str2[j]:\n                j += 1\n            elif str1[i] < str2[j]:\n                if not str1_incremented and i + 1 < len(str1) and str1[i + 1] == str2[j]:\n                    str1_incremented = True\n                    i += 1\n                else:\n                    return False\n            elif str1[i] > str2[j]:\n                if not str1_incremented:\n                    i = 0\n                    str1_incremented = True\n                else:\n                    return False\n\n        return j == len(str2)",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        str1_dict = {}\n        for c in str1:\n            if c not in str1_dict:\n                str1_dict[c] = 1\n            else:\n                str1_dict[c] += 1\n        \n        str2_dict = {}\n        for c in str2:\n            if c not in str2_dict:\n                str2_dict[c] = 1\n            else:\n                str2_dict[c] += 1\n        \n        for c in str2:\n            if c not in str1_dict or str1_dict[c] < str2_dict[c]:\n                return False\n            str1_dict[c] -= 1\n        \n        return True",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        str1_next = [chr((ord(ch) - ord('a') + 1) % 26 + ord('a')) for ch in str1]\n        str1_double_next = [chr((ord(ch) - ord('a') + 2) % 26 + ord('a')) for ch in str1]\n\n        i, j, k = 0, 0, 0\n        while i < len(str1) and j < len(str2):\n            if str1[i] == str2[j]:\n                j += 1\n            elif str1_next[i] == str2[j]:\n                k = 1\n                j += 1\n            elif str1_double_next[i] == str2[j]:\n                if k == 1:\n                    return False\n                else:\n                    k = 1\n                    j += 1\n            i += 1\n\n        return j == len(str2)",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        str1_idx, str2_idx = 0, 0\n        str1_incremented = False\n\n        while str1_idx < len(str1) and str2_idx < len(str2):\n            if str1[str1_idx] == str2[str2_idx]:\n                str2_idx += 1\n            elif str1[str1_idx] < str2[str2_idx]:\n                if str1_incremented:\n                    return False\n                str1_incremented = True\n                str1_idx = max(str1_idx, str2_idx)\n            str1_idx += 1\n\n        return str2_idx == len(str2)",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        str1_dict = {}\n        for c in str1:\n            if c not in str1_dict:\n                str1_dict[c] = 1\n            else:\n                str1_dict[c] += 1\n\n        str2_dict = {}\n        for c in str2:\n            if c not in str2_dict:\n                str2_dict[c] = 1\n            else:\n                str2_dict[c] += 1\n\n        for c in str2:\n            if c not in str1_dict or str1_dict[c] < str2_dict[c]:\n                return False\n            str1_dict[c] -= 1\n\n        return True",
                "class Solution:\n    def canMakeSubsequence(self, str1: str, str2: str) -> bool:\n        str1_dict = {}\n        for c in str1:\n            if c not in str1_dict:\n                str1_dict[c] = 1\n            else:\n                str1_dict[c] += 1\n        \n        for c in str2:\n            if c not in str1_dict or str1_dict[c] == 0:\n                if ord(c) == ord(str1[-1]) + 1 or str1_dict.get(chr((ord(c) - 1) % 26), 0) == 0:\n                    return False\n                str1_dict[chr((ord(c) - 1) % 26)] -= 1\n            else:\n                str1_dict[c] -= 1\n                \n        return True"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        current_position = 0\n\n        for move in moves:\n            if move == 'R':\n                current_position += 1\n            elif move == 'L':\n                current_position -= 1\n            else:\n                current_position = max(current_position + 1, current_position - 1)\n\n            max_distance = max(max_distance, abs(current_position))\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        left, right = 0, 0\n        \n        for move in moves:\n            if move == 'L':\n                left += 1\n            elif move == 'R':\n                right += 1\n            else:\n                left, right = right, left\n                \n            max_distance = max(max_distance, abs(left - right))\n        \n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        current_distance = 0\n\n        for move in moves:\n            if move == 'R':\n                current_distance += 1\n            elif move == 'L':\n                current_distance -= 1\n            max_distance = max(max_distance, current_distance)\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        current_distance = 0\n\n        for move in moves:\n            if move == 'L':\n                current_distance -= 1\n            elif move == 'R':\n                current_distance += 1\n            max_distance = max(max_distance, abs(current_distance))\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        current_distance = 0\n\n        for move in moves:\n            if move == 'R':\n                current_distance += 1\n            elif move == 'L':\n                current_distance -= 1\n            else:\n                current_distance = max(current_distance + 1, current_distance - 1)\n\n            max_distance = max(max_distance, abs(current_distance))\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance, current_distance = 0, 0\n\n        for move in moves:\n            if move == 'R':\n                current_distance += 1\n            elif move == 'L':\n                current_distance -= 1\n            else:\n                current_distance = max(current_distance + 1, current_distance - 1)\n\n            max_distance = max(max_distance, current_distance)\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance, current_distance = 0, 0\n\n        for move in moves:\n            if move == 'R':\n                current_distance += 1\n            elif move == 'L':\n                current_distance -= 1\n            else:\n                current_distance = max(current_distance + 1, current_distance - 1)\n\n            max_distance = max(max_distance, current_distance)\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        current_distance = 0\n\n        for move in moves:\n            if move == 'L':\n                current_distance -= 1\n            elif move == 'R':\n                current_distance += 1\n            max_distance = max(max_distance, current_distance)\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance = 0\n        current_distance = 0\n\n        for move in moves:\n            if move == 'L':\n                current_distance -= 1\n            elif move == 'R':\n                current_distance += 1\n            else:\n                current_distance = max(current_distance - 1, 0)\n\n            max_distance = max(max_distance, abs(current_distance))\n\n        return max_distance",
                "class Solution:\n    def furthestDistanceFromOrigin(self, moves: str) -> int:\n        max_distance, current_distance = 0, 0\n        \n        for move in moves:\n            if move == 'L':\n                current_distance -= 1\n            elif move == 'R':\n                current_distance += 1\n            \n            max_distance = max(max_distance, abs(current_distance))\n            \n        return max_distance"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix (LCP) of s and t\n        lcp = 0\n        for i in range(n):\n            if s[i] == t[i]:\n                lcp += 1\n            else:\n                break\n\n        # Compute the number of distinct substrings of length LCP in s\n        freq = [0] * 26\n        for i in range(lcp):\n            freq[ord(s[i]) - ord('a')] += 1\n        distinct = sum(1 for f in freq if f == 1)\n\n        # Compute the number of ways to move the LCP substring to the front in k moves\n        if k == 1:\n            return distinct\n        else:\n            return distinct * (k - 1) % MOD",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the prefix and suffix of s and t\n        pref_s = [s[i] for i in range(n)]\n        suff_s = [s[-i - 1] for i in range(n)]\n        pref_t = [t[i] for i in range(n)]\n        suff_t = [t[-i - 1] for i in range(n)]\n\n        # Compute the longest common prefix and suffix\n        lcp = sum(a == b for a, b in zip(pref_s, pref_t))\n        lcs = sum(a == b for a, b in zip(suff_s, suff_t))\n\n        # Compute the number of distinct substrings of s\n        distinct_substrings = sum(1 for i in range(n) if pref_s[i] != suff_s[n - i - 1])\n\n        # Compute the number of ways to transform s into t in exactly k operations\n        if k > distinct_substrings:\n            return 0\n        if k == 1:\n            return (n - lcp) * (n - lcs) % MOD\n        return (n - lcp) * (n - lcs) * pow(distinct_substrings - 1, k - 2, MOD) % MOD",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix (LCP) of s and t\n        lcp = 0\n        for i in range(n):\n            if s[i] == t[i]:\n                lcp += 1\n            else:\n                break\n\n        # Compute the length of the suffix of s that needs to be moved to the start\n        move = n - lcp\n\n        # Compute the number of ways to move the suffix of length 'move' to the start in 'k' operations\n        if k == 1:\n            return (move - 1) % MOD\n        else:\n            return (pow(move, k - 1, MOD) * (move - 1) % MOD) % MOD",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix (LCP) of s and t\n        lcp = 0\n        for i in range(n):\n            if s[i] == t[i]:\n                lcp += 1\n            else:\n                break\n\n        # Compute the length of the suffix of s that is the same as the prefix of t\n        suffix_len = 0\n        for i in range(n - lcp, n):\n            if s[i] == t[0]:\n                suffix_len += 1\n            else:\n                break\n\n        # Compute the number of ways to move the suffix to the beginning in exactly k operations\n        if suffix_len == 0:\n            return (k - 1) % MOD if n == lcp else 0\n\n        total_moves = (n - suffix_len) * k\n        ways = 0\n        for i in range(1, suffix_len + 1):\n            if total_moves % i == 0 and total_moves // i <= n - lcp:\n                ways += 1\n\n        return ways % MOD",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the cyclic shift needed to transform s into t\n        shift = 0\n        for i in range(n):\n            if s[i] != t[i]:\n                shift = i + 1 - (i + 1 - n) % n\n                break\n\n        # Compute the number of common prefixes of s and t\n        common_prefix = 0\n        for i in range(n):\n            if s[i] != t[shift + i]:\n                break\n            common_prefix += 1\n\n        # Compute the number of ways to shift the string k times\n        if k > n - common_prefix:\n            return 0\n        return (n - common_prefix) * pow(k, MOD - 2, MOD) % MOD * pow(\n            n - common_prefix - k, MOD - 2, MOD\n        ) % MOD",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix and suffix\n        lcp = 0\n        while lcp < n and s[lcp] == t[lcp]:\n            lcp += 1\n        lcs = 0\n        while lcs < n and s[n - lcs - 1] == t[n - lcs - 1]:\n            lcs += 1\n\n        # Compute the number of distinct substrings in the middle\n        distinct = set()\n        i = lcp\n        j = n - lcs\n        while i < j:\n            distinct.add(s[i:j])\n            i += 1\n            j -= 1\n\n        # Compute the number of ways to arrange the middle substrings\n        def factorial(x, y):\n            res = 1\n            for i in range(x, y + 1):\n                res = res * i % MOD\n            return res\n\n        def inverse(x):\n            return pow(x, MOD - 2, MOD)\n\n        def comb(x, y):\n            return factorial(x, y) * inverse(factorial(y, y)) % MOD\n\n        total = factorial(len(distinct) - 1, len(distinct) + k - 1)\n        for sub in distinct:\n            count = 0\n            for i in range(lcp, n - lcs):\n                if s[lcp:i] + s[i:n - lcs] + s[n - lcs:] == sub:\n                    count += 1\n            total = (total - comb(len(distinct) - 1, count - 1) + MOD) % MOD\n\n        return total",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix of s and t\n        lcp = 0\n        for i in range(n):\n            if s[i] == t[i]:\n                lcp += 1\n            else:\n                break\n\n        # Compute the number of distinct substrings of length lcp in s\n        freq = [0] * 26\n        for i in range(lcp):\n            freq[ord(s[i]) - ord('a')] += 1\n        distinct = sum(1 for f in freq if f == 1)\n\n        # Compute the number of ways to choose k-1 non-overlapping substrings\n        # of length lcp from s, and make sure they are all distinct\n        ways = 1\n        for i in range(k - 1):\n            ways = ways * distinct % MOD\n            distinct -= 1\n\n        return ways",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the prefix function for string t\n        prefix = [0] * n\n        j = 0\n        for i in range(1, n):\n            while j > 0 and t[i] != t[j]:\n                j = prefix[j - 1]\n            if t[i] == t[j]:\n                j += 1\n            prefix[i] = j\n\n        # Compute the number of common prefixes of length i for all i from 1 to n-1\n        common = [0] * (n - 1)\n        for i in range(n - 1, 0, -1):\n            if prefix[i] == n - i:\n                common[i - 1] = common[i] + 1\n\n        # Compute the number of ways to transform s into t in exactly k operations\n        dp = [0] * (n - 1)\n        dp[0] = 1\n        for i in range(1, n - 1):\n            if common[i] == common[i - 1]:\n                dp[i] = dp[i - 1]\n            else:\n                dp[i] = (dp[i - 1] + 1) % MOD\n\n        # Compute the cumulative sum of dp array\n        for i in range(1, n - 1):\n            dp[i] = (dp[i] + dp[i - 1]) % MOD\n\n        # Return the number of ways modulo MOD\n        return dp[n - 2] if k == 1 else dp[common[n - 2]]",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix (LCP) of s and t\n        lcp = 0\n        for i in range(n):\n            if s[i] == t[i]:\n                lcp += 1\n            else:\n                break\n\n        # Compute the number of ways to move the LCP to the front in exactly k steps\n        if lcp == 0:\n            return pow(n - 1, k, MOD)\n        else:\n            return pow(n - lcp, k - 1, MOD)",
                "class Solution:\n    def numberOfWays(self, s: str, t: str, k: int) -> int:\n        n = len(s)\n        MOD = 10**9 + 7\n\n        # Compute the longest common prefix of s and t\n        lcp = 0\n        for i in range(n):\n            if s[i] == t[i]:\n                lcp += 1\n            else:\n                break\n\n        # Compute the number of ways to move the prefix to the end\n        # in exactly k steps\n        if k == 1:\n            return n - lcp\n        else:\n            return (pow(n - lcp, k - 1, MOD) - pow(lcp, k - 1, MOD) + MOD) % MOD"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp.copy()\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp.copy()\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp.copy()\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        def dfs(idx, remaining):\n            if remaining == 0:\n                return 0\n            if idx == len(nums):\n                return -1\n            ans = float('inf')\n            if nums[idx] <= remaining:\n                ans = min(ans, dfs(idx + 1, remaining - nums[idx]))\n            new_remaining = remaining\n            while nums[idx] > 1 and nums[idx] <= new_remaining:\n                new_remaining -= nums[idx]\n                nums[idx] //= 2\n                ans = min(ans, 1 + dfs(len(nums), new_remaining))\n                nums[idx] *= 2\n            return ans\n\n        return dfs(0, target)",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp[:]\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n                if num > 1:\n                    new_dp[t] = min(new_dp[t], dp[t - num // 2] + 2)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp.copy()\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp.copy()\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        def dfs(idx, remaining):\n            if remaining == 0:\n                return 0\n            if remaining < 0:\n                return float(\"inf\")\n            if idx == len(nums):\n                return float(\"inf\")\n\n            ans = dfs(idx + 1, remaining - nums[idx])\n            if nums[idx] > 1:\n                ans = min(ans, 1 + dfs(idx, remaining - nums[idx] // 2) + dfs(idx + 1, remaining - nums[idx] // 2))\n\n            return ans\n\n        return -1 if dfs(0, target) == float(\"inf\") else dfs(0, target)",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        dp = [float('inf')] * (target + 1)\n        dp[0] = 0\n        for num in nums:\n            new_dp = dp.copy()\n            for t in range(target, num - 1, -1):\n                new_dp[t] = min(new_dp[t], dp[t - num] + 1)\n            dp = new_dp\n        return dp[target] if dp[target] != float('inf') else -1",
                "class Solution:\n    def minOperations(self, nums: List[int], target: int) -> int:\n        def dfs(idx, remaining):\n            if remaining == 0:\n                return 0\n            if idx == len(nums):\n                return -1\n            ans = float('inf')\n            if nums[idx] <= remaining:\n                taken = dfs(idx + 1, remaining - nums[idx])\n                if taken != -1:\n                    ans = min(ans, taken)\n                not_taken = dfs(idx, remaining)\n                if not_taken != -1:\n                    ans = min(ans, not_taken)\n            divided = dfs(idx + 1, remaining)\n            if divided != -1:\n                ans = min(ans, 1 + divided)\n            if ans == float('inf'):\n                ans = -1\n            return ans\n\n        return dfs(0, target)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Compute the product of all elements in each row and column\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n                if grid[i][j] != 0:\n                    product_matrix[i][j] = (product_matrix[i][j] * pow(grid[i][j], 12345 - 2, 12345)) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Compute the product of all elements in each row and column\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n                if grid[i][j] != 0:\n                    product_matrix[i][j] = (product_matrix[i][j] * pow(grid[i][j], 12344, 12345)) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Calculate the product of all elements in each row and column\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n                if grid[i][j] != 0:\n                    product_matrix[i][j] = (product_matrix[i][j] * pow(grid[i][j], 12344, 12345)) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Compute the product of all elements in each row and column\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n                if grid[i][j] != 0:\n                    product_matrix[i][j] = (product_matrix[i][j] * pow(grid[i][j], 12344, 12345)) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Compute row-wise and column-wise products\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Calculate row-wise and column-wise products\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Calculate row-wise and column-wise products\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Compute the row-wise product excluding the current element\n        row_product = [1] * n\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = grid[i][j] * row_product[i] % 12345\n                row_product[i] = row_product[i] * (grid[i][j] + 1) % 12345\n\n        # Compute the column-wise product excluding the current element\n        col_product = [1] * m\n        for j in range(m):\n            for i in range(n):\n                product_matrix[i][j] = product_matrix[i][j] * col_product[j] % 12345\n                col_product[j] = col_product[j] * (grid[i][j] + 1) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Calculate row-wise and column-wise products\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n\n        return product_matrix",
                "class Solution:\n    def constructProductMatrix(self, grid: List[List[int]]) -> List[List[int]]:\n        n, m = len(grid), len(grid[0])\n        product_matrix = [[0] * m for _ in range(n)]\n\n        # Calculate the product of all elements in each row and column\n        row_products = [1] * n\n        col_products = [1] * m\n        for i in range(n):\n            for j in range(m):\n                row_products[i] = (row_products[i] * grid[i][j]) % 12345\n                col_products[j] = (col_products[j] * grid[i][j]) % 12345\n\n        # Fill in the product matrix\n        for i in range(n):\n            for j in range(m):\n                product_matrix[i][j] = (row_products[i] * col_products[j]) % 12345\n                if grid[i][j] != 0:\n                    product_matrix[i][j] = (product_matrix[i][j] * pow(grid[i][j], 12344, 12345)) % 12345\n\n        return product_matrix"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            current = i\n            for _ in range(k):\n                current = receiver[current]\n                scores[i] += current\n\n        return max(scores) + sum(range(n))",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            idx = i\n            temp_score = 0\n            for j in range(k):\n                temp_score += idx\n                idx = receiver[idx]\n                if idx == i:\n                    break\n            scores[i] = temp_score\n\n        return max(scores) + sum(range(n))",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            idx = i\n            temp_score = 0\n            for j in range(k):\n                temp_score += idx\n                idx = receiver[idx]\n                if idx == i:\n                    break\n            scores[i] = temp_score\n        \n        return max(scores) + sum(range(n))",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            idx = i\n            temp_score = 0\n            for _ in range(k):\n                if idx == -1:\n                    break\n                temp_score += idx\n                idx = receiver[idx]\n            scores[i] = temp_score\n\n        return max(scores) + sum(range(n))",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            id = receiver[i]\n            scores[i] = i + id\n            next_id = receiver[id]\n            k -= 1\n            while k > 0 and next_id != -1:\n                scores[i] += next_id\n                next_id = receiver[next_id]\n                k -= 1\n        max_score = max(scores)\n        return max_score + min(k, n)",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            current = i\n            for j in range(k):\n                current = receiver[current]\n                scores[i] += current\n        return max(scores) + sum(range(n))",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            idx = i\n            temp_score = 0\n            for j in range(k + 1):\n                temp_score += idx\n                idx = receiver[idx]\n                if idx == i:\n                    break\n            scores[i] = temp_score\n\n        return max(scores)",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            idx = i\n            temp_score = 0\n            for j in range(k + 1):\n                temp_score += idx\n                idx = receiver[idx]\n                if idx == -1:\n                    break\n            scores[i] = temp_score\n\n        return max(scores)",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            current = i\n            for _ in range(k):\n                current = receiver[current]\n                scores[i] += current\n\n        return max(scores)",
                "class Solution:\n    def getMaxFunctionValue(self, receiver: List[int], k: int) -> int:\n        n = len(receiver)\n        scores = [0] * n\n        for i in range(n):\n            current = i\n            for j in range(k):\n                current = receiver[current]\n                scores[i] += current\n        return max(scores) + k"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    for j in range(i + 1, n):\n                        if s1[j] != s2[j]:\n                            cost += x\n                            break\n                    if cost >= x:\n                        return -1\n                    break\n        return cost",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        double_flip = 0\n        single_flip = 0\n\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    double_flip += 1\n                else:\n                    single_flip += 1\n\n        return (double_flip + (single_flip // 2)) * x + (single_flip % 2) * 2 if single_flip % 2 <= 1 else -1",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        diff_count = 0\n\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i] != s2[i + 1] and s2[i] != s2[i + 1]:\n                    cost += 2 * x\n                    diff_count += 2\n                else:\n                    cost += x\n                    diff_count += 1\n\n        if diff_count % 2 == 1:\n            return -1\n\n        return cost + (diff_count // 2 - 1) // 2",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    for j in range(i + 1, n):\n                        if s1[j] != s2[j] and (j == n - 1 or s1[j + 1] == s2[j + 1]):\n                            cost += x\n                            break\n                    else:\n                        return -1\n\n        return cost",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    for j in range(i + 1, n):\n                        if s1[j] != s2[j]:\n                            cost += x\n                            break\n                    if cost >= x * n:\n                        return -1\n                    break\n        return cost",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    for j in range(i + 1, n):\n                        if s1[j] != s2[j]:\n                            cost += x\n                            break\n                    if cost >= x * n:\n                        return -1\n                    break\n        return cost",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        diff_count = 0\n\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    diff_count += 1\n\n        if diff_count % 2 == 1:\n            return -1\n\n        return min(diff_count // 2 * x + cost, diff_count // 2 * 2 + cost)",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    for j in range(i + 1, n):\n                        if s1[j] != s2[j]:\n                            cost += x\n                            break\n                    if cost >= x * n:\n                        return -1\n                    break\n        return cost",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        diff_count = 0\n\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    diff_count += 1\n                    i += 1\n                else:\n                    diff_count += 2\n\n        if diff_count % 2 != 0:\n            return -1\n\n        return min(cost + (diff_count // 2 - 1) // 2 * x, cost + diff_count // 2 * x)",
                "class Solution:\n    def minOperations(self, s1: str, s2: str, x: int) -> int:\n        n = len(s1)\n        cost = 0\n        for i in range(n):\n            if s1[i] != s2[i]:\n                if i < n - 1 and s1[i + 1] != s2[i + 1]:\n                    cost += 1\n                    i += 1\n                else:\n                    for j in range(i + 1, n):\n                        if s1[j] != s2[j]:\n                            cost += x\n                            break\n                    if cost == -1:\n                        return -1\n                    break\n        return cost"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: (x[0], -x[1]))\n\n        count = 0\n        prev_end = 0\n        for start, end in intervals:\n            if start > prev_end:\n                prev_end = end\n            else:\n                prev_end = min(prev_end, end)\n            count += (prev_end - start) + 1\n\n        return count",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        points = set()\n        for start, end in nums:\n            for point in range(start, end + 1):\n                points.add(point)\n        return len(points)",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: (x[0], -x[1]))\n\n        count = 0\n        prev_end = 0\n        for start, end in intervals:\n            if start > prev_end:\n                prev_end = end\n            else:\n                prev_end = min(prev_end, end)\n            count += prev_end - start + 1\n        return count",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: x[0])\n        count = 0\n        prev_end = 0\n        for interval in intervals:\n            start, end = interval\n            if start > prev_end:\n                count += start - prev_end\n            prev_end = max(prev_end, end)\n        return count + prev_end",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: (x[0], -x[1]))\n\n        count = 0\n        last_end = 0\n        for start, end in intervals:\n            if start > last_end:\n                last_end = end\n            else:\n                last_end = min(last_end, end)\n            count += last_end - start + 1\n        return count",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: x[0])\n        count = 0\n        prev_end = 0\n        for interval in intervals:\n            start, end = interval\n            if start > prev_end:\n                count += start - prev_end\n            prev_end = max(prev_end, end)\n        return count + 1",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: (x[0], -x[1]))\n\n        count = 0\n        prev_end = float('-inf')\n        for start, end in intervals:\n            if start > prev_end:\n                prev_end = end\n            else:\n                prev_end = min(prev_end, end)\n            count += prev_end - start + 1\n\n        return count",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        # Sort the car coordinates based on the starting point\n        sorted_nums = sorted(nums, key=lambda x: x[0])\n\n        # Initialize a variable to store the number of covered points\n        covered_points = 0\n\n        # Initialize a variable to store the latest ending point\n        latest_end = 0\n\n        # Iterate through the sorted car coordinates\n        for i in range(len(sorted_nums)):\n            # Update the latest ending point if the current car's ending point is greater\n            latest_end = max(latest_end, sorted_nums[i][1])\n\n            # Increment the covered points by the difference between the latest ending point and the current car's starting point\n            covered_points += sorted_nums[i][0] - latest_end\n\n        # Return the total number of covered points\n        return covered_points + latest_end",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: x[0])\n        count = 0\n        prev_end = 0\n        for interval in intervals:\n            start, end = interval\n            if start > prev_end:\n                prev_end = end\n            else:\n                prev_end = min(prev_end, end)\n            count += prev_end - start + 1\n        return count",
                "class Solution:\n    def numberOfPoints(self, nums: List[List[int]]) -> int:\n        intervals = sorted(nums, key=lambda x: x[0])\n        count = 0\n        right_end = 0\n        for interval in intervals:\n            if interval[0] > right_end:\n                count += interval[0] - right_end\n            right_end = max(right_end, interval[1])\n        return count + right_end"
            ],
            "pass1_list": [
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n                operations += count\n            else:\n                k -= nums[-1]\n            nums.pop()\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n                operations += count\n            else:\n                k -= nums[-1]\n            nums.pop()\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n                operations += count\n            else:\n                k -= nums[-1]\n            nums.pop()\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        operations = 0\n        i = len(nums) - 1\n        while k > 0:\n            if nums[i] > k:\n                operations += nums[i] - k\n                i -= 1\n            k -= 1\n            i -= 1\n            operations += 1\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            index = nums.index(k)\n            operations += index\n            k = k - 1\n            nums.pop(index)\n            count += 1\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        for i in range(len(nums)):\n            if nums[i] <= k:\n                count += 1\n                if count == k:\n                    return operations + i + 1\n        return operations + len(nums)",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n            else:\n                operations += count\n                k -= nums[-1]\n            nums.pop()\n        return operations + count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n                operations += count\n            else:\n                k -= nums[-1]\n            nums.pop()\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n                operations += count\n            else:\n                k -= nums[-1]\n            nums.pop()\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        operations = 0\n        while k > 0:\n            if nums[-1] > k:\n                count += 1\n                operations += count\n            else:\n                k -= nums[-1]\n            nums.pop()\n        return operations"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i + 1) % n] and i != nums[i] - 1:\n                nums = nums[1:] + [nums[0]]\n                shifts += 1\n            if i == nums[i] - 1:\n                return -1\n        return shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i+1)%n] and i != n-1:\n                nums[i], nums[i+1] = nums[i+1], nums[i]\n                shifts += 1\n                i += 1\n        return shifts if nums == sorted(nums) else -1",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i + 1) % n] and i != nums[i] - 1:\n                nums = nums[1:] + [nums[0]]\n                shifts += 1\n            if i == nums[i] - 1:\n                return -1\n        return shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i+1)%n] and i != nums[(i+1)%n]:\n                nums[i], nums[(i+1)%n] = nums[(i+1)%n], nums[i]\n                shifts += 1\n        return -1 if not all(nums[i] <= nums[(i+1)%n] for i in range(n)) else shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i+1) % n] and i < n-1:\n                nums[i], nums[i + 1] = nums[i + 1], nums[i]\n                shifts += 1\n                i = max(0, i - 1)\n        return -1 if nums != sorted(nums) else shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i + 1) % n] and i != nums[i] - 1:\n                nums[(i + 1) % n], nums[i] = nums[i], nums[(i + 1) % n]\n                shifts += 1\n            if i == nums[i] - 1:\n                if sorted(nums) != nums:\n                    return -1\n        return shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i + 1) % n] and i != (i + 1) % n:\n                nums = nums[(i + 1):] + nums[:(i + 1)]\n                shifts += 1\n        return shifts if nums == sorted(nums) else -1",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i + 1) % n] and i != nums[i] - 1:\n                nums[(i + 1) % n], nums[i] = nums[i], nums[(i + 1) % n]\n                shifts += 1\n            if i == nums[i] - 1:\n                if sorted(nums) != nums:\n                    return -1\n        return shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i+1)%n] and i != (i+1)%n:\n                nums[i], nums[(i+1)%n] = nums[(i+1)%n], nums[i]\n                shifts += 1\n        return -1 if nums != sorted(nums) else shifts",
                "class Solution:\n    def minimumRightShifts(self, nums: List[int]) -> int:\n        n = len(nums)\n        shifts = 0\n        for i in range(n):\n            while nums[i] > nums[(i + 1) % n] and i < n - 1:\n                nums[i], nums[i + 1] = nums[i + 1], nums[i]\n                shifts += 1\n                i += 1\n        return -1 if nums != sorted(nums) else shifts"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0' or (i == j and num[j] == '5' and j != 0):\n                    dp[j] = min(dp[j], dp[j - 1] + 1)\n                elif num[j] == '5' or (num[j] == '2' and num[j - 1] == '5'):\n                    dp[j] = min(dp[j], dp[j - 1])\n                elif j != 0:\n                    dp[j] = min(dp[j], dp[j - 1] + 1)\n\n        return dp[n - 1]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0':\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n                elif int(num[j]) % 5 == 0:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n                elif int(num[j]) % 2 == 0:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 2)\n                else:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if int(num[j]) % 5 == 0:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n                elif int(num[j]) % 2 == 0:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 2)\n                else:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 3)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0' or num[j] == '5' or num[j] == '2' or (num[j] == '7' and j != i):\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n                elif num[j] == '9' and j != i:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 2)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0' or (i == j and num[j] == '5' and j > 0 and num[j - 1] == '2'):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + i - j)\n                elif num[j] == '5' or (num[j] == '2' and j > 0 and num[j - 1] == '5'):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + i - j + 1)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0' or (i == j and num[j] == '5' and j > 0 and num[j - 1] == '2'):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + i - j)\n                elif num[j] == '5' or (num[j] == '2' and j > 0 and num[j - 1] == '5'):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + i - j + 1)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n        rem_25 = [1] * 25\n\n        for i in range(n):\n            digit = int(num[i])\n            rem_25[digit] = 0\n\n        for i in range(n):\n            for j in range(25):\n                if rem_25[j] == 1:\n                    dp[i + 1] = min(dp[i + 1], dp[i] + 1 - int(num[i] == str(j)))\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0' or (i == j and num[j] == '5' and j > 0 and num[j - 1] == '2'):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + i - j)\n                elif num[j] == '5' or (num[j] == '2' and j > 0 and num[j - 1] == '5'):\n                    dp[i + 1] = min(dp[i + 1], dp[j] + i - j + 1)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] == '0' or (num[j] == '5' and j + 1 < n and num[j + 1] == '0'):\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n                elif num[j] == '2' and j + 2 < n and num[j + 1] == '5' and num[j + 2] == '0':\n                    dp[j + 3] = min(dp[j + 3], dp[j] + 1)\n                elif num[j] == '7' and j + 1 < n and num[j + 1] == '5':\n                    dp[j + 2] = min(dp[j + 2], dp[j] + 1)\n\n        return dp[n]",
                "class Solution:\n    def minimumOperations(self, num: str) -> int:\n        n = len(num)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                if num[j] != '0':\n                    dp[j + 1] = min(dp[j + 1], dp[j] + 1)\n                if int(num[j - 2:j + 1]) % 25 == 0:\n                    dp[j + 1] = min(dp[j + 1], dp[j - 2])\n\n        return dp[n]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n):\n            return int(n**0.5) ** 2 == n\n\n        def find_max_sum(indices, nums):\n            max_sum = 0\n            for i in range(len(indices)):\n                for j in range(i + 1, len(indices)):\n                    product = nums[indices[i]] * nums[indices[j]]\n                    if is_square(product):\n                        max_sum = max(max_sum, nums[indices[i]] + nums[indices[j]])\n            return max_sum\n\n        n = len(nums)\n        indices = list(range(n))\n        nums.sort(key=lambda x: -x)\n\n        max_sum = sum(nums)\n        for i in range(n):\n            for j in range(i + 1, n):\n                if not is_square(nums[i] * nums[j]):\n                    indices.remove(j)\n                    indices.remove(i)\n                    max_sum = max(max_sum, find_max_sum(indices, nums) + nums[i] + nums[j])\n                    indices.append(i)\n                    indices.append(j)\n\n        return max_sum",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n: int) -> bool:\n            root = int(n ** 0.5)\n            return root * root == n\n\n        def factorize(n: int) -> List[int]:\n            factors = []\n            for i in range(1, int(n ** 0.5) + 1):\n                if n % i == 0 and is_square(i) and is_square(n // i):\n                    factors.extend([i, n // i])\n            return list(set(factors))\n\n        factors = set()\n        for num in nums:\n            factors |= set(factorize(num))\n\n        dp = [0] * (len(factors) + 1)\n        for factor in factors:\n            dp[factor_map[factor]] = max(dp[factor_map[factor]], num)\n\n        return max(dp)",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n):\n            return int(n**0.5) ** 2 == n\n\n        def find_max_sum(composites, primes):\n            dp = [0] * (1 << len(composites))\n            dp[0] = 0\n\n            for mask in range(1 << len(composites)):\n                for i in range(len(composites)):\n                    if mask & (1 << i):\n                        for j in range(i):\n                            if (mask & (1 << j)) and is_square(composites[i] * composites[j]):\n                                dp[mask] += composites[i] + composites[j]\n                                break\n                if dp[mask] == 0:\n                    dp[mask] = max(dp[mask ^ (1 << i)] + composites[i] for i in range(len(composites)) if mask & (1 << i))\n\n            return max(dp) + sum(primes)\n\n        composites = []\n        primes = []\n        for num in nums:\n            is_composite = False\n            for composite in composites:\n                if is_square(composite * num):\n                    is_composite = True\n                    break\n            if is_composite:\n                composites.append(num)\n            else:\n                primes.append(num)\n\n        return find_max_sum(composites, primes)",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n):\n            return int(n**0.5) ** 2 == n\n\n        def find_max_sum(nums, factor):\n            dp = [0] * (len(nums) + 1)\n            for num in nums:\n                if num % factor == 0:\n                    dp[num // factor] = max(dp[num // factor], num)\n                else:\n                    dp[num % factor] = max(dp[num % factor], num)\n            max_sum = 0\n            for num in dp:\n                max_sum = max(max_sum, num)\n            return max_sum\n\n        max_sum = 0\n        for num in nums:\n            max_sum = max(max_sum, num)\n            if is_square(num):\n                factor = int(num ** 0.5)\n                max_sum = max(max_sum, find_max_sum(nums, factor))\n        return max_sum",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n: int) -> bool:\n            root = int(n ** 0.5)\n            return root * root == n\n\n        def factorize(n: int) -> List[int]:\n            factors = []\n            for i in range(1, int(n ** 0.5) + 1):\n                if n % i == 0:\n                    if i * i != n:\n                        factors.extend([i, n // i])\n                    else:\n                        factors.append(i)\n            return factors\n\n        def max_sum(factors: List[int]) -> int:\n            dp = [0] * (1 << len(factors))\n            for i in range(len(factors)):\n                dp[1 << i] = factors[i]\n\n            for mask in range(1 << len(factors) - 1, -1, -1):\n                for i in range(len(factors)):\n                    if mask & (1 << i) == 0:\n                        dp[mask] = max(dp[mask], dp[mask ^ (1 << i)] + factors[i])\n\n            return dp[0]\n\n        n = len(nums)\n        factors = [factorize(num) for num in nums]\n        dp = [0] * (1 << n)\n        for i in range(n):\n            dp[1 << i] = nums[i]\n\n        for mask in range(1 << n - 1, -1, -1):\n            for i in range(n):\n                if mask & (1 << i) == 0 and all(is_square(nums[i] * nums[j]) for j in range(n) if mask & (1 << j) != 0):\n                    dp[mask] = max(dp[mask], dp[mask ^ (1 << i)] + nums[i])\n\n        return dp[0]",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n):\n            return int(n**0.5) ** 2 == n\n\n        def find_max_sum(i, memo, nums):\n            if i == len(nums):\n                return 0\n            if memo[i] != -1:\n                return memo[i]\n            incl = nums[i] + find_max_sum(i + 1, memo, nums)\n            excl = find_max_sum(i + 1, memo, nums)\n            if is_square(nums[i]):\n                incl = max(incl, nums[i] + find_max_sum(i + 2, memo, nums))\n            memo[i] = max(incl, excl)\n            return memo[i]\n\n        memo = [-1] * len(nums)\n        return find_max_sum(0, memo, nums)",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n):\n            return int(n**0.5) ** 2 == n\n\n        def factorize(n):\n            factors = []\n            for i in range(1, int(n**0.5) + 1):\n                if n % i == 0:\n                    if i * i != n:\n                        factors.extend([i, n // i])\n                    else:\n                        factors.append(i)\n            return set(factors)\n\n        n = len(nums)\n        factor_sets = [factorize(num) for num in nums]\n        dp = [0] * (1 << n)\n        for i in range(n):\n            dp[1 << i] = nums[i]\n\n        for mask in range((1 << n) - 1, 0, -1):\n            for i in range(n):\n                if mask & (1 << i):\n                    for j in range(n):\n                        if i != j and mask & (1 << j):\n                            if factor_sets[i].issubset(factor_sets[j]) or factor_sets[j].issubset(factor_sets[i]):\n                                dp[mask - (1 << i)] = max(dp[mask - (1 << i)], dp[mask] + nums[i])\n                                break\n        return max(dp)",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n: int) -> bool:\n            root = int(n ** 0.5)\n            return root * root == n\n\n        def factorize(n: int) -> List[int]:\n            factors = []\n            for i in range(1, int(n ** 0.5) + 1):\n                if n % i == 0:\n                    if i * i != n:\n                        factors.extend([i, n // i])\n                    else:\n                        factors.append(i)\n            return factors\n\n        def max_sum(factors: List[int]) -> int:\n            dp = [0] * (1 << len(factors))\n            for i in range(len(factors)):\n                dp[1 << i] = factors[i]\n\n            for mask in range(1 << len(factors) - 1, -1, -1):\n                for i in range(len(factors)):\n                    if mask & (1 << i) == 0:\n                        dp[mask] = max(dp[mask], dp[mask ^ (1 << i)] + factors[i])\n\n            return dp[0]\n\n        n = len(nums)\n        factors = [factorize(num) for num in nums]\n        dp = [0] * (1 << n)\n        for i in range(n):\n            dp[1 << i] = nums[i]\n\n        for mask in range(1 << n - 1, -1, -1):\n            for i in range(n):\n                if mask & (1 << i) == 0:\n                    common_factors = set(factors[i]).intersection(set(factors[j]) for j in range(n) if mask & (1 << j) > 0)\n                    if any(not is_square(f) for f in common_factors):\n                        continue\n                    dp[mask] = max(dp[mask], dp[mask ^ (1 << i)] + nums[i])\n\n        return dp[0]",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n):\n            return int(n**0.5) ** 2 == n\n\n        def find_max_sum(indices, nums):\n            max_sum = 0\n            for i in range(len(indices)):\n                for j in range(i + 1, len(indices)):\n                    product = nums[indices[i]] * nums[indices[j]]\n                    if is_square(product):\n                        max_sum = max(max_sum, nums[indices[i]] + nums[indices[j]])\n            return max_sum\n\n        n = len(nums)\n        indices = list(range(n))\n        nums.sort(key=lambda x: -x)\n\n        max_sum = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                product = nums[i] * nums[j]\n                if is_square(product):\n                    max_sum = max(max_sum, nums[i] + nums[j])\n\n        max_sum += sum(nums)\n\n        for i in range(n):\n            new_indices = indices[:i] + indices[i + 1:]\n            max_sum = max(max_sum, find_max_sum(new_indices, nums))\n\n        return max_sum",
                "class Solution:\n    def maximumSum(self, nums: List[int]) -> int:\n        def is_square(n: int) -> bool:\n            root = int(n ** 0.5)\n            return root * root == n\n\n        def find_max_sum(nums: List[int], factor: int) -> int:\n            dp = [0] * (len(nums) + 1)\n            for num in nums:\n                if num == factor:\n                    dp[1] = max(dp[1], num)\n                elif is_square(num * factor):\n                    for i in range(len(dp) - 1, 0, -1):\n                        dp[i] = max(dp[i], dp[i - 1] + num)\n\n            return max(dp)\n\n        max_sum = sum(nums)\n        for num in nums:\n            if is_square(num):\n                max_sum = max(max_sum, find_max_sum(nums, num))\n\n        return max_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'",
                "class Solution:\n    def maximumOddBinaryNumber(self, s: str) -> str:\n        ones = s.count('1')\n        if ones == 1:\n            return '0' * (len(s) - 1) + '1'\n        else:\n            return '1' + '0' * (len(s) - 2) + '1'"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix = 0\n        for i in range(len(nums) - 1, -1, -1):\n            common_prefix = (common_prefix | nums[i]) & nums[i]\n            if common_prefix == 0:\n                res += 1\n                common_prefix = nums[i]\n        return res",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix_bits = 0\n        max_common_prefix_bits = 0\n\n        for num in nums:\n            common_prefix_bits = 0\n            while num > 0 and common_prefix_bits < 20:\n                if num & 1:\n                    max_common_prefix_bits = max(\n                        max_common_prefix_bits, common_prefix_bits\n                    )\n                common_prefix_bits += 1\n                num >>= 1\n\n        return max_common_prefix_bits + 1",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        def count_bits(num):\n            return bin(num).count('1')\n        \n        max_subarrays = 1\n        common_bits = 0\n        for num in nums:\n            num_bits = count_bits(num)\n            if num_bits < count_bits(common_bits | num):\n                common_bits |= num\n                max_subarrays += 1\n                \n        return max_subarrays",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        count = 0\n        common_prefix_bits = 0\n\n        for num in nums:\n            common_prefix_bits = self.countCommonPrefixBits(common_prefix_bits, num)\n            count += num.bit_length() - common_prefix_bits\n            res = max(res, count)\n\n        return res\n\n    def countCommonPrefixBits(self, common_prefix_bits, num):\n        while num and common_prefix_bits < 20 and (1 << common_prefix_bits) > num:\n            common_prefix_bits += 1\n        return common_prefix_bits",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix = 0\n        for num in nums:\n            common_prefix |= num\n            if common_prefix == 0:\n                res += 1\n                common_prefix = num\n        return res",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix_bits = 0\n        max_common_prefix_bits = 0\n\n        for num in nums:\n            common_prefix_bits = 0\n            while num > 0 and common_prefix_bits < 20:\n                if num & 1:\n                    max_common_prefix_bits = max(\n                        max_common_prefix_bits, common_prefix_bits\n                    )\n                common_prefix_bits += 1\n                num >>= 1\n\n        return max_common_prefix_bits + 1",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix = 0\n        for i in range(len(nums) - 1, -1, -1):\n            common_prefix = (common_prefix | nums[i]) & nums[i]\n            if common_prefix == 0:\n                res += 1\n                common_prefix = nums[i]\n        return res",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix = 0\n        for i in range(len(nums) - 1, -1, -1):\n            common_prefix = (common_prefix | nums[i]) & nums[i]\n            if common_prefix == 0:\n                res += 1\n                common_prefix = nums[i]\n        return res",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix = 0\n        for num in nums:\n            common_prefix |= num\n        if common_prefix == 0:\n            return len(nums)\n        for num in nums:\n            common_prefix &= num\n            if common_prefix == 0:\n                res += 1\n                common_prefix = num\n        return res",
                "class Solution:\n    def maxSubarrays(self, nums: List[int]) -> int:\n        res = 1\n        common_prefix_length = 0\n        common_prefix = 0\n\n        for num in nums:\n            common_prefix |= num\n            if common_prefix_length == 0:\n                common_prefix_length = bin(common_prefix).count('1')\n            else:\n                common_prefix &= num\n                common_prefix_length -= bin(common_prefix).count('1')\n                if common_prefix_length == 0:\n                    res += 1\n                    common_prefix = num\n                    common_prefix_length = bin(common_prefix).count('1')\n\n        return res"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 1\n        if n == 2:\n            return 0 if nums[0] < nums[1] else 1\n\n        result = 1\n        i, j = 0, 1\n        while j < n:\n            if nums[i] < nums[j]:\n                i += 1\n                j = i\n            else:\n                i = 0\n                j += 1\n            result += 1\n\n        return result - 1",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1 or n == 0:\n            return n\n\n        i = 1\n        while i < n:\n            if nums[i] - nums[i - 1] == 1:\n                nums.pop(i)\n                nums.pop(i - 1)\n            else:\n                i += 1\n\n        return len(nums)",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1:\n            return 1\n        if n == 2:\n            return 0 if nums[0] < nums[1] else 1\n\n        i = 1\n        while i < n and nums[i] > nums[i - 1]:\n            i += 1\n\n        if i == n:\n            return 0\n        return 1",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        i = 0\n        while i < n - 1 and nums[i] < nums[i + 1]:\n            i += 1\n        return n % 2 ^ i % 2",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1 or n == 0:\n            return n\n\n        i = 1\n        while i < n:\n            if nums[i] - nums[i - 1] == 1:\n                nums.pop(i)\n                nums.pop(i - 1)\n                n -= 2\n                if n == 1 or n == 0:\n                    return n\n                i = 1\n            else:\n                i += 1\n\n        return 1",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1 or n == 0:\n            return n\n\n        i = 1\n        while i < n:\n            if nums[i] - nums[i - 1] == 1:\n                nums.pop(i)\n                nums.pop(i - 1)\n                n -= 2\n                if i < n:\n                    i -= 1\n            else:\n                i += 1\n\n        return len(nums)",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        i = 0\n        while i < n - 1 and nums[i] < nums[i + 1]:\n            i += 1\n        return n % 2 ^ i % 2",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        i = 0\n        while i < n - 1 and nums[i] < nums[i + 1]:\n            i += 1\n        return n % 2 ^ i % 2",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1 or n == 0:\n            return n\n\n        i = 1\n        while i < n:\n            if nums[i] - nums[i - 1] == 1:\n                i += 2\n                n -= 2\n            else:\n                i += 1\n\n        return n % 2",
                "class Solution:\n    def minLengthAfterRemovals(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n == 1 or n == 0:\n            return n\n\n        # Initialize result as the length of the input array\n        result = n\n        for i in range(1, n):\n            # If the current element is greater than the previous element,\n            # we can remove both elements.\n            if nums[i] > nums[i - 1]:\n                result = i\n                break\n\n        # Check if we can further reduce the array length by removing\n        # the last two elements.\n        if n > 2 and nums[-1] > nums[-2]:\n            result = min(result, n - 2)\n\n        return result"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        sorted_nums_count = sorted(nums_count.items(), key=lambda x: x[0])\n        dp = [1] + [0] * r\n        for num, count in sorted_nums_count:\n            new_dp = [1]\n            for s in range(1, r + 1):\n                if s >= num:\n                    new_dp.append((new_dp[-1] + dp[s - num]) % MOD)\n                else:\n                    new_dp.append(new_dp[-1])\n            dp = new_dp\n        return dp[l]",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        values = sorted(nums_count.values())\n        values.append(0)\n        dp = [1] + [0] * (len(values) - 1)\n\n        for idx, val in enumerate(values):\n            for i in range(idx, -1, -1):\n                dp[i + 1] += dp[i] * values[i]\n                dp[i + 1] %= MOD\n\n        total_sum = sum(nums)\n        ans = 0\n        for i in range(len(values)):\n            for j in range(i, len(values)):\n                curr_sum = total_sum - values[i] * (j - i)\n                if l <= curr_sum <= r:\n                    ans += dp[i] * dp[j]\n                    ans %= MOD\n\n        return ans",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        sorted_nums_count = sorted(nums_count.items(), key=lambda x: x[0])\n        dp = [1] + [0] * r\n        for num, count in sorted_nums_count:\n            new_dp = [1]\n            for i in range(1, r + 1):\n                if i - num >= 0:\n                    new_dp.append(dp[i - num] * count % MOD)\n                new_dp[i] = (new_dp[i] + dp[i]) % MOD\n            dp = new_dp\n        return dp[l]",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        dp = [0] * (40001)\n        dp[0] = 1\n        for num, count in nums_count.items():\n            new_dp = [0] * len(dp)\n            for i in range(len(dp)):\n                for j in range(count + 1):\n                    new_dp[i + num * j] = (new_dp[i + num * j] + dp[i]) % MOD\n            dp = new_dp\n        return sum(dp[l:r+1]) % MOD",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        values = sorted(nums_count.values())\n        dp = [1] + [0] * (len(values) - 1)\n        for i in range(1, len(dp)):\n            dp[i] = (dp[i - 1] * (values[i - 1] + 1)) % MOD\n\n        dp_sum = [0] * (len(dp) + 1)\n        dp_sum[0] = 1\n        for i in range(len(dp)):\n            dp_sum[i + 1] = (dp_sum[i] + dp[i]) % MOD\n\n        total_sum = sum(nums_count.keys())\n        ans = 0\n        for i in range(len(dp)):\n            if l <= total_sum - values[i] * (i + 1) <= r:\n                ans = (ans + dp_sum[i]) % MOD\n\n        return ans",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = [0] + [nums.count(i) for i in range(max(nums) + 1)]\n        dp = [1] + [0] * r\n        for num, count in enumerate(nums_count):\n            for i in range(l - num, -1, -1):\n                dp[i + num] = (dp[i + num] + dp[i] * count) % MOD\n            for i in range(r - num, -1, -1):\n                dp[i] = (dp[i] + dp[i + num] * count) % MOD\n        return dp[l]",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        sorted_nums_count = sorted(nums_count.items(), key=lambda x: x[0])\n        dp = [1] + [0] * r\n        for num, count in sorted_nums_count:\n            new_dp = [1]\n            for i in range(1, r + 1):\n                if i - num >= 0:\n                    new_dp.append(dp[i - num] + new_dp[i - num])\n                else:\n                    new_dp.append(dp[i])\n            new_dp[-1] += 1\n            dp = new_dp\n        return dp[l] % MOD",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        dp = [0] * (2 * 10**4 + 1)\n        dp[0] = 1\n        for num, count in nums_count.items():\n            new_dp = [0] * (2 * 10**4 + 1)\n            for i in range(len(dp)):\n                for j in range(count + 1):\n                    new_sum = i + (num * j)\n                    if new_sum <= 2 * 10**4:\n                        new_dp[new_sum] += dp[i]\n            dp = new_dp\n        return sum(dp[l:r+1]) % MOD",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        MOD = 10**9 + 7\n        nums_count = Counter(nums)\n        sorted_nums_count = sorted(nums_count.items(), key=lambda x: x[0])\n        dp = [1] + [0] * r\n        for num, count in sorted_nums_count:\n            new_dp = [1]\n            for i in range(1, r + 1):\n                if i - num >= 0:\n                    new_dp.append(dp[i - num] + new_dp[i - num])\n                else:\n                    new_dp.append(dp[i])\n            new_dp = [x * count + 1 for x in new_dp] % MOD\n            dp = new_dp\n        return dp[l]",
                "class Solution:\n    def countSubMultisets(self, nums: List[int], l: int, r: int) -> int:\n        mod = 10**9 + 7\n        nums_count = Counter(nums)\n        sorted_nums_count = sorted(nums_count.items(), key=lambda x: x[0])\n        dp = [1] + [0] * (l + 1)\n        for num, freq in sorted_nums_count:\n            new_dp = [1]\n            for i in range(1, l + 1):\n                if i >= num:\n                    new_dp.append((new_dp[-1] + dp[i - num]) % mod)\n                else:\n                    new_dp.append(new_dp[-1])\n            for i in range(l + 1):\n                dp[i] = (dp[i] + new_dp[i] * freq) % mod\n        return dp[l]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i, num in enumerate(nums):\n            if bin(i + 1).count('1') == k:\n                index_sum += num\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            binary_str = bin(i)[2:]  # Convert index to binary string and remove the '0b' prefix\n            if binary_str.count('1') == k:  # Count the number of '1's in the binary string\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            binary_str = bin(i)[2:]  # Convert index to binary string and remove the '0b' prefix\n            if binary_str.count('1') == k:  # Count the number of set bits\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            binary_str = bin(i)[2:]  # Convert index to binary string and remove the '0b' prefix\n            if binary_str.count('1') == k:  # Count the number of set bits\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i, num in enumerate(nums):\n            if bin(i).count('1') == k:\n                index_sum += num\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            if bin(i).count('1') == k:\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            if bin(i).count('1') == k:\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            if bin(i).count('1') == k:\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i in range(len(nums)):\n            if bin(i).count('1') == k:\n                index_sum += nums[i]\n        return index_sum",
                "class Solution:\n    def sumIndicesWithKSetBits(self, nums: List[int], k: int) -> int:\n        index_sum = 0\n        for i, num in enumerate(nums):\n            if bin(i).count('1') == k:\n                index_sum += num\n        return index_sum"
            ],
            "pass1_list": [
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            if count % 3 == 0:\n                operations -= count // 3\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            operations += count // 3\n\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            operations += count // 3\n\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            if count % 4 == 2:\n                operations += 1\n            operations += count // 4 + count // 2\n\n        return operations // 2",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            if count >= 3:\n                operations += count // 3\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            elif count % 4 == 2:\n                operations += 1\n            elif count % 4 == 3:\n                operations += 2\n            else:\n                operations += count // 4\n\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            operations += count // 3\n\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            operations += count // 3\n\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            operations += count // 3\n\n        return operations",
                "class Solution:\n    def minOperations(self, nums: List[int]) -> int:\n        count_map = {}\n        for num in nums:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        operations = 0\n        for count in count_map.values():\n            if count % 2 == 1:\n                return -1\n            operations += count // 2\n            operations += count // 3\n\n        return operations"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == 0 or nums[i] == len(nums) - 1:\n                count += 1\n        return count + 1",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = 0\n        freq = {}\n        for num in nums:\n            if num in freq:\n                freq[num] += 1\n            else:\n                freq[num] = 1\n        for key, value in freq.items():\n            if key == 0 or key == len(nums):\n                count += 1\n            else:\n                count += 2\n        return count",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = [0] * len(nums)\n        for num in nums:\n            count[num] += 1\n        ways = 1\n        for i in range(len(count)):\n            if count[i] > 1:\n                return 0\n            if count[i] == 1:\n                ways *= i + 1\n        return ways",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = [0] * len(nums)\n        for num in nums:\n            count[num] += 1\n        ways = 1\n        for i in range(len(count)):\n            if count[i] > 1:\n                return 0\n            if count[i] == 1:\n                ways *= i + 1\n        return ways",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = 0\n        freq = [0] * len(nums)\n        for num in nums:\n            freq[num] += 1\n        freq[0] -= 1\n        freq[len(nums)] -= 1\n        for i in range(len(nums)):\n            if freq[i] > 0:\n                count += 1\n        return count",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = [0] * len(nums)\n        for num in nums:\n            count[num] += 1\n        return sum(1 for c in count if c == 0 or c == len(nums))",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = 0\n        freq = {}\n        for num in nums:\n            if num in freq:\n                freq[num] += 1\n            else:\n                freq[num] = 1\n        for key, value in freq.items():\n            if key == 0 or key == len(nums):\n                count += 1\n            else:\n                count += 2\n        return count",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == 0 or nums[i] == len(nums) - 1:\n                count += 1\n        return count",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = [0] * len(nums)\n        for num in nums:\n            count[num] += 1\n        ways = 1\n        for i in range(len(count)):\n            if count[i] > 1:\n                return 0\n            if count[i] == 1:\n                ways *= i\n        return ways",
                "class Solution:\n    def countWays(self, nums: List[int]) -> int:\n        count = [0] * len(nums)\n        for num in nums:\n            count[num] += 1\n        ways = 1\n        for i in range(len(count)):\n            if count[i] > 1:\n                return 0\n            if count[i] == 1:\n                ways *= i + 1\n        return ways"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 0\n        ans = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = max(dp[i], dp[i - num] + 1)\n            ans = max(ans, dp[target])\n\n        return ans if ans else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 0\n        ans = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = max(dp[i], dp[i - num] + 1)\n            ans = max(ans, dp[target])\n\n        return ans if ans else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 1\n        max_len = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = dp[i] or dp[i - num]\n            if dp[target]:\n                max_len = max(max_len, 1 + dp[target - num])\n\n        return max_len if max_len > 0 else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 1\n        max_len = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = dp[i] or dp[i - num]\n            if dp[target]:\n                max_len = max(max_len, 1 + dp[target - num])\n\n        return max_len if max_len > 0 else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 1\n        max_len = 1\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = dp[i] or dp[i - num]\n            if dp[target]:\n                max_len = max(max_len, 1 + dp[target])\n\n        return max_len if max_len > 0 else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 0\n        ans = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = max(dp[i], dp[i - num] + 1)\n            ans = max(ans, dp[target])\n\n        return ans if ans else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 0\n        ans = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = max(dp[i], dp[i - num] + 1)\n            ans = max(ans, dp[target])\n\n        return ans if ans else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 0\n        ans = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = max(dp[i], dp[i - num] + 1)\n            ans = max(ans, dp[target])\n\n        return ans if ans else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 0\n        ans = 0\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = max(dp[i], dp[i - num] + 1)\n            ans = max(ans, dp[target])\n\n        return ans if ans else -1",
                "class Solution:\n    def lengthOfLongestSubsequence(self, nums: List[int], target: int) -> int:\n        dp = [0] * (target + 1)\n        dp[0] = 1\n        max_len = 1\n\n        for num in nums:\n            for i in range(target, num - 1, -1):\n                dp[i] = dp[i] or dp[i - num]\n            if dp[target]:\n                max_len = max(max_len, 1 + dp[target])\n\n        return max_len if max_len > 0 else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n\n        max_sum = 0\n        for i in range(n):\n            height = min(left_max[i], right_max[i])\n            max_sum = max(max_sum, height + maxHeights[i])\n\n        return max_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n        max_sum = 0\n        for i in range(n):\n            max_sum = max(max_sum, left_max[i] + right_max[i])\n        return max_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n\n        max_sum = 0\n        for i in range(n):\n            max_sum = max(max_sum, left_max[i] + right_max[i])\n\n        return max_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n        max_sum = 0\n        for i in range(n):\n            max_sum = max(max_sum, left_max[i] + right_max[i] - maxHeights[i])\n        return max_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n        left_max[0] = maxheights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxheights[i])\n        right_max[n - 1] = maxheights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxheights[i])\n        ans = 0\n        for i in range(n):\n            ans = max(ans, left_max[i] + right_max[i] - maxheights[i])\n        return ans",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n        sum_heights = 0\n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n\n        for i in range(n):\n            sum_heights += min(left_max[i], right_max[i])\n\n        return sum_heights",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n        total_sum = 0\n\n        left_max[0] = maxheights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxheights[i])\n\n        right_max[n - 1] = maxheights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxheights[i])\n\n        for i in range(n):\n            total_sum += min(left_max[i], right_max[i])\n\n        return total_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        heights = [1] * n\n        total_sum = sum(maxHeights)\n\n        for i in range(1, n):\n            heights[i] = max(heights[i], heights[i - 1] + 1)\n\n        for i in range(n - 2, -1, -1):\n            height = min(maxHeights[i], heights[i + 1] - 1)\n            max_sum = max(max_sum, height * (i + 2))\n            heights[i] = max(heights[i], height)\n\n        return total_sum - max_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n\n        max_sum = 0\n        for i in range(n):\n            max_sum = max(max_sum, left_max[i] + right_max[i])\n\n        return max_sum",
                "class Solution:\n    def maximumSumOfHeights(self, maxHeights: List[int]) -> int:\n        n = len(maxHeights)\n        left_max = [0] * n\n        right_max = [0] * n\n        sum_heights = 0\n\n        left_max[0] = maxHeights[0]\n        for i in range(1, n):\n            left_max[i] = max(left_max[i - 1], maxHeights[i])\n\n        right_max[n - 1] = maxHeights[n - 1]\n        for i in range(n - 2, -1, -1):\n            right_max[i] = max(right_max[i + 1], maxHeights[i])\n\n        for i in range(n):\n            sum_heights += min(left_max[i], right_max[i])\n\n        return sum_heights"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        acc_sum = [0]\n        for num in nums:\n            acc_sum.append(acc_sum[-1] + num)\n\n        left = 0\n        right = 0\n        min_len = n + 1\n        found = False\n\n        while right < n + 1:\n            if acc_sum[right] - acc_sum[left] == target:\n                min_len = min(min_len, right - left)\n                found = True\n                right += 1\n                left = max(left, right - min_len)\n            elif acc_sum[right] - acc_sum[left] < target:\n                right += 1\n            else:\n                left += 1\n\n        if found:\n            return min_len\n        else:\n            return -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        window_sum = [0] * (n + 1)\n        window_sum[0] = 0\n        for i in range(n):\n            window_sum[i + 1] = window_sum[i] + nums[i]\n\n        left = 0\n        right = 0\n        min_length = n + 1\n        target_found = False\n\n        while right < n:\n            if window_sum[right + 1] - window_sum[left] == target:\n                target_found = True\n                min_length = min(min_length, right - left + 1)\n                left += 1\n            else:\n                right += 1\n\n        if target_found:\n            return min_length\n        else:\n            return -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        window_sum = [0] * (n + 1)\n        window_sum[0] = 0\n        for i in range(n):\n            window_sum[i + 1] = window_sum[i] + nums[i]\n\n        left = 0\n        right = 0\n        min_length = n + 1\n        target_found = False\n\n        while right < n:\n            if window_sum[right + 1] - window_sum[left] == target:\n                target_found = True\n                min_length = min(min_length, right - left + 1)\n                left += 1\n            else:\n                right += 1\n\n        if target_found:\n            return min_length\n        else:\n            return -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        total_sum = sum(nums)\n        if total_sum < target:\n            return -1\n        \n        left, right = 0, 0\n        window_sum = 0\n        min_length = n + 1\n        \n        while right < n:\n            window_sum += nums[right]\n            while window_sum > target:\n                window_sum -= nums[left]\n                left += 1\n            \n            if window_sum == target:\n                min_length = min(min_length, right - left + 1)\n            right += 1\n        \n        return min_length if min_length <= n else -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        acc_sum = [0]\n        for num in nums:\n            acc_sum.append(acc_sum[-1] + num)\n\n        left, right = 0, 0\n        min_len = n + 1\n        curr_sum = 0\n\n        while right < n + 1:\n            curr_sum += acc_sum[right] - acc_sum[left]\n            right += 1\n\n            while curr_sum >= target:\n                min_len = min(min_len, right - left)\n                curr_sum -= acc_sum[left] - acc_sum[left - 1]\n                left += 1\n\n        return min_len if min_len <= n else -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        acc_sum = [0] * (n + 1)\n        acc_sum[0] = 0\n        for i in range(n):\n            acc_sum[i + 1] = acc_sum[i] + nums[i]\n\n        left, right = 0, 0\n        min_len = n + 1\n        cur_sum = 0\n        while right < n + 1:\n            cur_sum += acc_sum[right] - acc_sum[left]\n            while cur_sum >= target:\n                min_len = min(min_len, right - left)\n                cur_sum -= acc_sum[left] - acc_sum[left - 1]\n                left += 1\n            right += 1\n\n        return -1 if min_len == n + 1 else min_len",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        cum_sum = [0] * (n + 1)\n        for i in range(n):\n            cum_sum[i + 1] = cum_sum[i] + nums[i]\n\n        left, right = 0, 0\n        min_len = n + 1\n        curr_sum = 0\n        while right < n:\n            curr_sum += cum_sum[right + 1] - cum_sum[left]\n            while curr_sum >= target:\n                min_len = min(min_len, right - left + 1)\n                curr_sum -= cum_sum[left + 1] - cum_sum[left]\n                left += 1\n            right += 1\n\n        return -1 if min_len == n + 1 else min_len",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        total_sum = sum(nums)\n        if total_sum == target:\n            return n\n        if total_sum > target:\n            left = 0\n            right = 0\n            curr_sum = 0\n            min_length = n + 1\n            while right < n:\n                curr_sum += nums[right]\n                while curr_sum > target:\n                    curr_sum -= nums[left]\n                    left += 1\n                if curr_sum == target:\n                    min_length = min(min_length, right - left + 1)\n                right += 1\n            return min_length if min_length <= n else -1\n        else:\n            return -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        cum_sum = [0] * (n + 1)\n        for i in range(n):\n            cum_sum[i + 1] = cum_sum[i] + nums[i]\n\n        left, right = 0, 0\n        min_length = n + 1\n        curr_sum = 0\n        while right < n:\n            curr_sum += cum_sum[right + 1] - cum_sum[left]\n            while curr_sum > target:\n                curr_sum -= cum_sum[left + 1] - cum_sum[left]\n                left += 1\n            if curr_sum == target:\n                min_length = min(min_length, right - left + 1)\n            right += 1\n\n        return min_length if min_length <= n else -1",
                "class Solution:\n    def minSizeSubarray(self, nums: List[int], target: int) -> int:\n        n = len(nums)\n        total_sum = sum(nums)\n        if total_sum == target:\n            return n\n        if total_sum < target:\n            return -1\n        left = 0\n        right = 0\n        curr_sum = 0\n        min_length = n + 1\n        while right < n:\n            curr_sum += nums[right]\n            while curr_sum >= target:\n                min_length = min(min_length, right - left + 1)\n                curr_sum -= nums[left]\n                left += 1\n            right += 1\n        return min_length if min_length <= n else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n\n        # Initialize the min_length and min_substring\n        min_length = n + 1\n        min_substring = \"\"\n\n        # Iterate through the string\n        for i in range(n):\n            current_count = 0\n            current_substring = \"\"\n            for j in range(i, n):\n                if s[j] == '1':\n                    current_count += 1\n                if current_count == k:\n                    if len(current_substring) < min_length:\n                        min_length = len(current_substring)\n                        min_substring = current_substring\n                    break\n                current_substring += s[j]\n\n        return min_substring",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        # Find the first occurrence of k ones\n        start = s.find('1' * k)\n        \n        # If k is the total number of ones, return the substring\n        if ones_count == k:\n            return s[start:]\n        \n        # Find the last occurrence of k ones\n        end = s.rfind('1' * k)\n        \n        # Return the lexicographically smallest substring\n        return min(s[start:start+k], s[end:end+k])",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        if k == 1:\n            return '1'\n        if k == n:\n            return s\n\n        min_str = \"\"\n        ones = 0\n        for i in range(n):\n            if s[i] == '1':\n                ones += 1\n            if ones == k:\n                min_str = min(min_str, s[i - k + 1:i + 1])\n            if ones > k:\n                break\n\n        return min_str",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        left = 0\n        right = 0\n        min_len = n + 1\n        result = \"\"\n        \n        while right < n:\n            if s[right] == '1':\n                k -= 1\n            if k == 0:\n                while k == 0:\n                    if right - left + 1 < min_len:\n                        min_len = right - left + 1\n                        result = s[left:right+1]\n                    if s[left] == '1':\n                        k += 1\n                    left += 1\n                    right -= 1\n                    if left > right:\n                        break\n                k += 1\n            right += 1\n        \n        return result",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n\n        # Find the first occurrence of k ones\n        i = 0\n        ones = 0\n        for i in range(n):\n            if s[i] == '1':\n                ones += 1\n            if ones == k:\n                break\n\n        # Find the last occurrence of k ones\n        j = n - 1\n        last_ones = 0\n        while j >= i:\n            if s[j] == '1':\n                last_ones += 1\n            if last_ones == k:\n                break\n            j -= 1\n\n        # Return the lexicographically smallest substring\n        return min(s[i:j+1], s[j:i-1:-1])",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        # Find the first occurrence of k ones\n        start = s.find('1' * k)\n        \n        # If k is the total number of ones, return the substring\n        if ones_count == k:\n            return s[start:]\n        \n        # Find the lexicographically smallest substring\n        i = start\n        while i < n:\n            if s[i] == '1':\n                k -= 1\n            if k == 0:\n                break\n            i += 1\n        return s[start:i]",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        # Find the first occurrence of k ones\n        start = s.find('1' * k)\n        \n        # If k is the total number of ones, return the substring\n        if ones_count == k:\n            return s[start:]\n        \n        # Find the last occurrence of k ones\n        end = s.rfind('1' * k)\n        \n        # Loop through the substrings with k ones and find the lexicographically smallest one\n        for i in range(start, end + 1):\n            substr = s[i:i + (n - k)]\n            if substr[k:] == '0' * (n - k):\n                return substr\n        \n        return \"\"",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        # Find the first occurrence of k ones\n        start = s.find('1' * k)\n        \n        # If k is the total number of ones, return the substring\n        if ones_count == k:\n            return s[start:]\n        \n        # Find the last occurrence of k ones\n        end = s.rfind('1' * k)\n        \n        # Loop through the substrings starting from the first occurrence of k ones\n        for i in range(start, end + 1):\n            substr = s[i:i + k]\n            ones = substr.count('1')\n            if ones == k:\n                return substr\n        \n        return \"\"",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        # Find the first occurrence of k ones\n        start = s.find('1' * k)\n        \n        # If k is the total number of ones, return the substring\n        if ones_count == k:\n            return s[start:]\n        \n        # Find the lexicographically smallest substring\n        i = start\n        j = start + k\n        min_substring = s[i:j]\n        while j + 1 <= n:\n            if s[j + 1] == '1':\n                i = j - k + 1\n                j = j + 1\n                current_substring = s[i:j]\n                if current_substring < min_substring:\n                    min_substring = current_substring\n            else:\n                j += 1\n        \n        return min_substring",
                "class Solution:\n    def shortestBeautifulSubstring(self, s: str, k: int) -> str:\n        n = len(s)\n        ones_count = s.count('1')\n        if ones_count < k:\n            return \"\"\n        \n        # Find the first occurrence of k ones\n        start = s.find('1' * k)\n        \n        # If k is the total number of ones, return the substring\n        if ones_count == k:\n            return s[start:]\n        \n        # Find the last occurrence of k ones\n        end = s.rfind('1' * k)\n        \n        # Loop through the substrings with k ones and find the lexicographically smallest one\n        for i in range(start, end + 1):\n            substr = s[i:i + (n - k)]\n            if substr[k:] == '0' * (n - k):\n                return substr\n        \n        return \"\""
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result",
                "class Solution:\n    def minProcessingTime(self, processorTime: List[int], tasks: List[int]) -> int:\n        tasks.sort(reverse=True)\n        processorTime.sort()\n\n        result = 0\n        for i in range(len(processorTime)):\n            result = max(result, processorTime[i] + tasks[i * 4])\n\n        return result"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        if k >= n // 2:\n            return sum(num ** 2 for num in sorted(nums, reverse=True)[:k]) % (10**9 + 7)\n\n        nums.sort(reverse=True)\n        ans = 0\n        for i in range(n - 1, n - k, -1):\n            ans = (ans + (nums[i] ** 2)) % (10**9 + 7)\n            for j in range(i):\n                nums[j] = (nums[j] | nums[i])\n        return ans",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        def count_bits(num):\n            return bin(num).count('1')\n\n        MOD = 10**9 + 7\n        n = len(nums)\n        nums.sort(key=count_bits)\n\n        ans = 0\n        for i in range(n - k + 1, n):\n            ans += nums[i] * nums[i]\n            ans %= MOD\n\n        for i in range(n - k, n - k + 1):\n            for j in range(i + 1, n):\n                if count_bits(nums[i]) < count_bits(nums[j]):\n                    ans = max(ans, (nums[i] | nums[j]) * (nums[i] | nums[j]) + (nums[i] & nums[j]) * (nums[i] & nums[j]))\n                    ans %= MOD\n\n        return ans",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        def get_max(bit: int) -> int:\n            count = collections.Counter(num & bit for num in nums)\n            res = 0\n            for i in range(30, -1, -1):\n                if bit >> i & 1:\n                    res += (1 << i) ** 2 * min(count[bit], k)\n                    k -= min(count[bit], k)\n                    if not k:\n                        break\n            return res % (10**9 + 7)\n\n        return max(get_max(bit) for bit in range(1 << 30))",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        if k == 1:\n            return sum(nums) % (10**9 + 7)\n\n        nums.sort(reverse=True)\n\n        for i in range(1, n):\n            nums[i] = nums[i] | nums[i - 1]\n\n        dp = [0] * (k + 1)\n        dp[1] = nums[0] % (10**9 + 7)\n\n        for i in range(1, n):\n            for j in range(2, min(k + 1, i + 2):\n                dp[j] = max(dp[j], dp[j - 1] + (nums[i] - nums[i - j + 1]) ** 2)\n\n        return dp[k]",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        if k >= n // 2:\n            return sum(num ** 2 for num in sorted(nums, reverse=True)[:k]) % (10**9 + 7)\n\n        nums.sort(reverse=True)\n        ans = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                x = nums[i] & nums[j]\n                y = nums[i] | nums[j]\n                nums[j] = y\n                ans = max(ans, (x ** 2 + self.maxSum(nums[j + 1:], k - 1)) % (10**9 + 7))\n        return ans",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        def count_bits(num):\n            return bin(num).count('1')\n\n        nums.sort(key=count_bits)\n        k = min(k, len(nums))\n\n        max_sum = 0\n        for i in range(len(nums) - k + 1):\n            cur_sum = 0\n            for j in range(i, i + k):\n                cur_sum += nums[j] ** 2\n            max_sum = max(max_sum, cur_sum)\n\n        return max_sum % (10**9 + 7)",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        def count_bits(num):\n            return bin(num).count('1')\n\n        nums.sort(key=count_bits)\n\n        n = len(nums)\n        mod = 10**9 + 7\n        ans = 0\n        for i in range(n - k + 1, n):\n            ans = (ans + nums[i] * nums[i]) % mod\n\n        for i in range(n - k, n - k + 1):\n            j = 0\n            while j < i:\n                nums[i] = (nums[i] | nums[j])\n                nums[j] = (nums[i] & nums[j])\n                j += 1\n\n        for i in range(n - k, n):\n            ans = max(ans, (ans + nums[i] * nums[i]) % mod)\n\n        return ans",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        if k >= n // 2:\n            return sum(x * x for x in sorted(nums, reverse=True)[:k]) % (10**9 + 7)\n\n        nums.sort(reverse=True)\n        ans = 0\n        for i in range(n):\n            for j in range(30, -1, -1):\n                if n - 1 - i + 2 ** (j - 1) >= k:\n                    ans = max(ans, nums[i] * nums[i] + (n - 1 - i + 2 ** (j - 1) - k) * (2**j))\n                    break\n        return ans % (10**9 + 7)",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        def get_max(bit: int) -> int:\n            count = collections.Counter(num & bit for num in nums)\n            max_val = 0\n            for i in range(30, -1, -1):\n                if count[bit | (1 << i)] > 0:\n                    max_val += 2 ** i\n                    bit |= 1 << i\n                    if count[bit] == 1:\n                        count[bit] = 0\n                    else:\n                        count[bit] -= 1\n            return max_val\n\n        max_sum = 0\n        for bit in range(1 << 30):\n            max_sum = max(max_sum, get_max(bit))\n\n        return (max_sum * k) % (10**9 + 7)",
                "class Solution:\n    def maxSum(self, nums: List[int], k: int) -> int:\n        def count_bits(num):\n            return bin(num).count('1')\n        \n        nums.sort(key=count_bits)\n        \n        n = len(nums)\n        k = min(k, n - k)\n        \n        ans = 0\n        for i in range(k):\n            ans += nums[i] ** 2 % (10**9 + 7)\n        for i in range(n - k, n):\n            ans += nums[i] ** 2 % (10**9 + 7)\n        \n        return ans % (10**9 + 7)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0",
                "class Solution:\n    def maximumTripletValue(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_val = 0\n        for i in range(n - 2):\n            for j in range(i + 1, n - 1):\n                for k in range(j + 1, n):\n                    max_val = max(max_val, (nums[i] - nums[j]) * nums[k])\n        return max_val if max_val > 0 else 0"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        ans = 0\n        for i in range(n):\n            if i > 0 and nums[i] == nums[i - 1]:\n                count += dp[i] - dp[i - 1]\n            else:\n                count = 1\n            dp[i + 1] = dp[i] + count\n            ans += (dp[i + 1] - dp[i]) * (dp[i + 1] - dp[i])\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        ans = 0\n        for i in range(n):\n            dp[i + 1] = dp[i]\n            if i > 0 and nums[i] == nums[i - 1]:\n                dp[i + 1] += 1\n            ans += dp[i + 1] * (n - i - dp[i + 1] + 1)\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        distinct_count = 0\n        ans = 0\n\n        for i in range(n):\n            if dp[distinct_count] == 0:\n                distinct_count += 1\n            dp[distinct_count] += 1\n            ans += (i + 1) ** 2 * dp[distinct_count]\n            if nums[i] == distinct_count:\n                distinct_count += 1\n\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        for i in range(n):\n            if i == 0 or nums[i] != nums[i - 1]:\n                count += 1\n            dp[i + 1] = dp[i] + count\n        ans = 0\n        for i in range(n):\n            ans += dp[i] * dp[i + 1]\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        ans = 0\n        for i in range(n):\n            if i > 0 and nums[i] == nums[i - 1]:\n                count += 1\n            else:\n                count = 1\n            dp[i + 1] = dp[i] + count\n            ans += (dp[i + 1]) ** 2\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        ans = 0\n        for i in range(n):\n            if dp[count] < count:\n                ans += count * count\n                dp[count] += 1\n            else:\n                dp[count] = 1\n                count += 1\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        for i in range(n):\n            if i > 0 and nums[i] == nums[i - 1]:\n                count += dp[i]\n            else:\n                count = dp[i]\n            dp[i + 1] = count\n        return sum(x**2 for x in dp) - n",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        distinct_count = 0\n        ans = 0\n\n        for i in range(n):\n            distinct_count += nums[i] != nums[i - 1] if i > 0 else 1\n            dp[i + 1] = dp[i] + distinct_count\n            ans += dp[i + 1] * dp[i + 1]\n\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        ans = 0\n        for i in range(n):\n            if i > 0 and nums[i] == nums[i - 1]:\n                count += 1\n            else:\n                count = 1\n            dp[i + 1] = dp[i] + count\n            ans += (dp[i + 1] ** 2) - (dp[i] ** 2)\n        return ans",
                "class Solution:\n    def sumCounts(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        count = 1\n        for i in range(n):\n            if i == 0 or nums[i] != nums[i - 1]:\n                count += 1\n            dp[i + 1] = dp[i] + count\n        ans = 0\n        for i in range(n):\n            ans += (dp[i + 1] - dp[i]) ** 2\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        stack = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                stack.append(int(word))\n            else:\n                if stack:\n                    k = len(stack) - len(result) - 1\n                    if k < len(stack):\n                        result.append(stack[- k - 1])\n                    else:\n                        result.append(-1)\n        return result[::-1]",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        stack = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                stack.append(int(word))\n            else:\n                if stack:\n                    k = len(stack) - 1 - result.count(-1)\n                    if k > 0:\n                        result.append(stack[-k])\n                    else:\n                        result.append(-1)\n                else:\n                    result.append(-1)\n        return result",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        nums = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                nums.append(int(word))\n            else:\n                k = len(nums) - 1 - len(result)\n                if k >= 0:\n                    result.append(nums[k])\n                else:\n                    result.append(-1)\n        return result[::-1]",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        stack = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                stack.append(int(word))\n                if len(stack) > 2:\n                    stack.pop(0)\n            else:\n                if stack:\n                    result.append(stack[-1])\n                    stack[-1] = -1\n                else:\n                    result.append(-1)\n        return result",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        nums = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                nums.append(int(word))\n            else:\n                k = len(nums) - len(result) - 1\n                if k >= 0:\n                    result.append(nums[-k-1])\n                else:\n                    result.append(-1)\n        return result[::-1]",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        nums = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                nums.append(int(word))\n            else:\n                k = len(nums) - 1 - len(result)\n                if k >= 0:\n                    result.append(nums[k])\n                else:\n                    result.append(-1)\n        return result[::-1]",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        result = []\n        stack = []\n        count = 0\n\n        for word in words:\n            if word != \"prev\":\n                stack.append(int(word))\n                count += 1\n\n            if word == \"prev\" and stack:\n                result.append(stack.pop())\n            elif word == \"prev\":\n                result.append(-1)\n\n        while stack:\n            result.append(stack.pop())\n\n        return result[::-1]",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        stack = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                stack.append(int(word))\n            else:\n                if stack:\n                    k = len(stack) - 1 - result.count(\"prev\")\n                    if k >= 0:\n                        result.append(stack[k])\n                    else:\n                        result.append(-1)\n                else:\n                    result.append(-1)\n        return result",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        nums = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                nums.append(int(word))\n            else:\n                k = len(nums) - 1 - len(result)\n                if k >= 0:\n                    result.append(nums[k])\n                else:\n                    result.append(-1)\n        return result[::-1]",
                "class Solution:\n    def lastVisitedIntegers(self, words: List[str]) -> List[int]:\n        nums = []\n        result = []\n        for word in words:\n            if word != \"prev\":\n                nums.append(int(word))\n            else:\n                k = len(nums) - 1 - len(result)\n                if k >= 0:\n                    result.append(nums[k])\n                else:\n                    result.append(-1)\n        return result[::-1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            if num in count:\n                count[num] += 1\n            else:\n                count[num] = 1\n\n        odd_count = sum(1 for c in count.values() if c % 2 == 1)\n        return min(odd_count, len(count))",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = max(count.values())\n        second_max = second_max_value(count.values())\n\n        return (groups - second_max) // 2 + 1\n\n\ndef second_max_value(nums):\n    max_val = second_max = float(\"-inf\")\n    for num in nums:\n        if num > max_val:\n            second_max = max_val\n            max_val = num\n        elif second_max < num < max_val:\n            second_max = num\n\n    return second_max",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = max(count.values())\n        second_max = second_max_freq(count)\n\n        return max(groups - second_max, 1)\n\n\ndef second_max_freq(count):\n    max_freq = 0\n    second_max_freq = 0\n    for freq in count.values():\n        if freq > max_freq:\n            second_max_freq = max_freq\n            max_freq = freq\n        elif freq > second_max_freq and freq != max_freq:\n            second_max_freq = freq\n\n    return second_max_freq",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = 0\n        odd_count = 0\n        for val in count.values():\n            if val % 2 == 1:\n                odd_count += 1\n                groups += 1\n            groups += val // 2\n\n        return groups + (odd_count - 1) // 2",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = 0\n        odd_count = 0\n        for val in count.values():\n            if val % 2 == 1:\n                odd_count += 1\n            groups += val // 2\n\n        return groups + odd_count // 2 + (1 if odd_count % 2 == 1 else 0)",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            if num in count:\n                count[num] += 1\n            else:\n                count[num] = 1\n\n        max_count = max(count.values())\n        second_max_count = sorted(list(count.values()), reverse=True)[1]\n\n        if max_count == second_max_count:\n            return second_max_count\n        else:\n            return second_max_count + 1",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = max(count.values())\n        second_max = second_max_value(count.values())\n\n        return (groups - second_max) // 2 + 1 if groups != second_max else groups\n\n\ndef second_max_value(nums):\n    max_val = second_max = float(\"-inf\")\n    for num in nums:\n        if num > max_val:\n            second_max = max_val\n            max_val = num\n        elif second_max < num < max_val:\n            second_max = num\n    return second_max",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = max(count.values())\n        second_max = second_max_value(count.values())\n\n        return (groups - second_max) // 2 + 1\n\n\ndef second_max_value(arr):\n    max_val = second_max = float(\"-inf\")\n    for val in arr:\n        if val > max_val:\n            second_max = max_val\n            max_val = val\n        elif second_max < val < max_val:\n            second_max = val\n\n    return second_max",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = max(count.values())\n        second_max = second_max_value(count.values())\n\n        return (groups - second_max) // 2 + 1\n\n\ndef second_max_value(nums):\n    max_val = second_max = float(\"-inf\")\n    for num in nums:\n        if num > max_val:\n            second_max = max_val\n            max_val = num\n        elif num > second_max and num != max_val:\n            second_max = num\n    return second_max",
                "class Solution:\n    def minGroupsForValidAssignment(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n\n        groups = 0\n        odd_counts = 0\n        for c in count.values():\n            if c % 2 == 1:\n                odd_counts += 1\n            groups += c // 2\n\n        return groups + odd_counts"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = 0, 0\n        zero_count1, zero_count2 = 0, 0\n\n        for num in nums1:\n            if num == 0:\n                zero_count1 += 1\n            else:\n                sum1 += num\n\n        for num in nums2:\n            if num == 0:\n                zero_count2 += 1\n            else:\n                sum2 += num\n\n        if abs(zero_count1 - zero_count2) > 1:\n            return -1\n\n        min_sum = sum1 + sum2 + 1\n        if zero_count1 == zero_count2:\n            min_sum -= 1\n\n        return min_sum",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1 = sum(nums1)\n        sum2 = sum(nums2)\n        zeros_in_nums1 = nums1.count(0)\n        zeros_in_nums2 = nums2.count(0)\n        if (sum1 - zeros_in_nums1) > (sum2 + zeros_in_nums2) or (sum2 - zeros_in_nums2) > (sum1 + zeros_in_nums1):\n            return -1\n        min_sum = sum1 + sum2 + 1\n        for i in range(1, min_sum // 2 + 1):\n            if (sum1 + i - zeros_in_nums1) == (sum2 + min_sum // 2 - i - zeros_in_nums2):\n                min_sum = sum1 + sum2 + i\n                break\n        return min_sum if min_sum <= 10**6 else -1",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = 0, 0\n        zero_count1, zero_count2 = 0, 0\n\n        for num in nums1:\n            if num == 0:\n                zero_count1 += 1\n            else:\n                sum1 += num\n\n        for num in nums2:\n            if num == 0:\n                zero_count2 += 1\n            else:\n                sum2 += num\n\n        if abs(zero_count1 - zero_count2) > 1:\n            return -1\n\n        min_sum = sum1 + sum2 + 1\n        if zero_count1 == zero_count2:\n            min_sum -= 1\n\n        return min_sum",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1 = sum(nums1)\n        sum2 = sum(nums2)\n        if sum1 == sum2:\n            return sum1\n        zero_count1 = nums1.count(0)\n        zero_count2 = nums2.count(0)\n        if zero_count1 + zero_count2 == 0:\n            return -1\n        if zero_count1 == 0:\n            min_val = min(nums2)\n            if (sum1 - sum2) % zero_count2 == 0 and (sum1 - sum2) // zero_count2 >= min_val:\n                return sum1\n            else:\n                return -1\n        if zero_count2 == 0:\n            min_val = min(nums1)\n            if (sum2 - sum1) % zero_count1 == 0 and (sum2 - sum1) // zero_count1 >= min_val:\n                return sum2\n            else:\n                return -1\n        min_val1 = min(nums1)\n        min_val2 = min(nums2)\n        min_diff = abs(sum1 - sum2)\n        if (sum1 - sum2) % zero_count2 != 0 or (sum1 - sum2) // zero_count2 < min_val2:\n            return -1\n        if (sum2 - sum1) % zero_count1 != 0 or (sum2 - sum1) // zero_count1 < min_val1:\n            return -1\n        return sum1 + min_diff",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = sum(nums1), sum(nums2)\n        zeros1, zeros2 = nums1.count(0), nums2.count(0)\n        total_zeros = zeros1 + zeros2\n\n        if total_zeros == 0:\n            return sum1 if sum1 == sum2 else -1\n\n        min_sum = float(\"inf\")\n        diff = abs(sum1 - sum2)\n\n        for i in range(total_zeros + 1):\n            x = min(diff // (i + 1), diff // total_zeros)\n            y = diff - x * (i + 1)\n            if x > 0 and y > 0 and (x * (total_zeros - i) + y) % (total_zeros - i) == 0:\n                min_sum = min(min_sum, sum1 + x * i + y * (total_zeros - i - 1))\n\n        return min_sum if min_sum != float(\"inf\") else -1",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = 0, 0\n        zero_count1, zero_count2 = 0, 0\n\n        for num in nums1:\n            if num == 0:\n                zero_count1 += 1\n            else:\n                sum1 += num\n        for num in nums2:\n            if num == 0:\n                zero_count2 += 1\n            else:\n                sum2 += num\n\n        if abs(zero_count1 - zero_count2) > 1:\n            return -1\n        elif zero_count1 == zero_count2:\n            return sum1 + sum2\n        else:\n            min_sum = min(sum1, sum2) + 1\n            max_sum = max(sum1, sum2) + zero_count1 + zero_count2\n\n            return min_sum if min_sum <= max_sum else -1",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = 0, 0\n        zero_count1, zero_count2 = 0, 0\n\n        for num in nums1:\n            if num == 0:\n                zero_count1 += 1\n            else:\n                sum1 += num\n\n        for num in nums2:\n            if num == 0:\n                zero_count2 += 1\n            else:\n                sum2 += num\n\n        if abs(zero_count1 - zero_count2) > 1:\n            return -1\n\n        min_sum = sum1 + sum2 + 1\n        if zero_count1 == zero_count2:\n            min_sum -= 1\n\n        return min_sum",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = sum(nums1), sum(nums2)\n        zeros_num1, zeros_num2 = nums1.count(0), nums2.count(0)\n        total_zeros = zeros_num1 + zeros_num2\n\n        if total_zeros > (sum1 - sum2) // 1 + (sum2 - sum1) // 1:\n            return -1\n\n        min_sum = sum1 + sum2 + 1\n        for i in range(1, total_zeros + 1):\n            first_sum = sum1 + i + (total_zeros - i)\n            second_sum = sum2 + total_zeros - i\n            min_sum = min(min_sum, first_sum + second_sum)\n\n        return min_sum",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = 0, 0\n        zero_count1, zero_count2 = 0, 0\n\n        for num in nums1:\n            if num == 0:\n                zero_count1 += 1\n            else:\n                sum1 += num\n\n        for num in nums2:\n            if num == 0:\n                zero_count2 += 1\n            else:\n                sum2 += num\n\n        if abs(zero_count1 - zero_count2) > 1:\n            return -1\n\n        min_sum = sum1 + sum2 + 1\n        if zero_count1 == zero_count2:\n            min_sum -= 1\n\n        return min_sum",
                "class Solution:\n    def minSum(self, nums1: List[int], nums2: List[int]) -> int:\n        sum1, sum2 = 0, 0\n        zero_count1, zero_count2 = 0, 0\n\n        for num in nums1:\n            if num == 0:\n                zero_count1 += 1\n            else:\n                sum1 += num\n\n        for num in nums2:\n            if num == 0:\n                zero_count2 += 1\n            else:\n                sum2 += num\n\n        if abs(zero_count1 - zero_count2) > 1:\n            return -1\n\n        min_sum = sum1 + sum2 + 1\n        if zero_count1 == zero_count2:\n            min_sum -= 1\n\n        return min_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2",
                "class Solution:\n    def differenceOfSums(self, n: int, m: int) -> int:\n        num1 = sum(i for i in range(1, n + 1) if i % m != 0)\n        num2 = sum(i for i in range(1, n + 1) if i % m == 0)\n        return num1 - num2"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zeroes = s.count('0')\n        ones = n - zeroes\n\n        # Initialize dp table\n        dp = [[0] * (ones + 1) for _ in range(2)]\n\n        # Fill dp table\n        for i in range(n):\n            if s[i] == '0':\n                dp[0][ones].append(i)\n                ones -= 1\n            else:\n                dp[1][ones].append(i)\n                zeroes -= 1\n\n        # Calculate minimum changes\n        ans = float('inf')\n        for i in range(zeroes + 1):\n            ans = min(ans, zeroes - i + ones - dp[1][i][-1] - dp[0][i][-1])\n\n        return ans",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zero_count = s.count('0')\n        one_count = n - zero_count\n\n        # Initialize dp table to store minimum changes for each length of substring\n        dp = [[0] * (one_count + 1) for _ in range(zero_count + 1)]\n\n        # Fill dp table using bottom-up dynamic programming\n        for i in range(1, zero_count + 1):\n            dp[i][0] = dp[i - 1][0] + 1\n        for j in range(1, one_count + 1):\n            dp[0][j] = dp[0][j - 1] + 1\n\n        # Iterate through the string and update dp table\n        for i in range(n):\n            if s[i] == '0':\n                zero_count -= 1\n                for j in range(one_count):\n                    dp[zero_count][j + 1] = min(dp[zero_count][j + 1], dp[zero_count - 1][j] + 1)\n            else:\n                one_count -= 1\n                for j in range(zero_count):\n                    dp[j + 1][one_count] = min(dp[j + 1][one_count], dp[j][one_count - 1] + 1)\n\n        return dp[zero_count][one_count]",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zeroes = s.count('0')\n        ones = n - zeroes\n\n        # If there are an even number of 0s and 1s, we don't need to make any changes\n        if (zeroes + ones) % 2 == 0:\n            return 0\n\n        # Otherwise, we need to change one additional character to make it beautiful\n        return 1",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zeroes = s.count('0')\n        ones = n - zeroes\n\n        # If there are an even number of 0s and 1s, we don't need to make any changes\n        if (zeroes + ones) % 2 == 0:\n            return 0\n\n        # Otherwise, we need to change one additional character to make it beautiful\n        return 1",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zero_count = s.count('0')\n        one_count = n - zero_count\n\n        # Initialize dp table\n        dp = [[0] * (one_count + 1) for _ in range(2)]\n\n        for i in range(n):\n            if s[i] == '0':\n                dp[1][one_count] += 1\n                one_count -= 1\n            else:\n                dp[0][one_count] += 1\n                zero_count -= 1\n\n        for j in range(one_count, -1, -1):\n            dp[0][j] = max(dp[0][j], dp[0][j + 1])\n            dp[1][j] = max(dp[1][j], dp[1][j + 1])\n\n        return zero_count - max(dp[0][0], dp[1][0])",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zeroes = s.count('0')\n        ones = n - zeroes\n        \n        if zeroes % 2 == 1 and ones % 2 == 1:\n            return 1\n        elif zeroes % 2 == 1 or ones % 2 == 1:\n            return min(zeroes, ones)\n        else:\n            return 0",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zero_count = s.count('0')\n        one_count = n - zero_count\n\n        # If there are an even number of 0s and 1s, we don't need to make any changes\n        if (zero_count + one_count) % 2 == 0:\n            return 0\n\n        # Otherwise, we need to make changes to at least one character\n        return 1 if zero_count % 2 == 0 else 2",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zeroes = s.count('0')\n        ones = n - zeroes\n\n        # Initialize dp table\n        dp = [[0] * (ones + 1) for _ in range(2)]\n\n        # Fill dp table\n        for i in range(n):\n            if s[i] == '0':\n                dp[0][0] += 1\n                dp[1][0] += 1\n            else:\n                dp[0][ones] += 1\n                dp[1][ones - 1] += 1\n                ones -= 1\n\n        # Find the minimum cost\n        for i in range(1, ones + 1):\n            dp[0][i] = min(dp[0][i], dp[0][i - 1] + 1, dp[1][i - 1])\n            dp[1][i] = min(dp[1][i], dp[1][i - 1] + 1, dp[0][i - 1])\n\n        return min(dp[0][ones], dp[1][ones - 1])",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zeroes = s.count('0')\n        ones = n - zeroes\n\n        # If there are an even number of 0s and 1s, we can make the string beautiful with no changes\n        if (zeroes + ones) % 2 == 0:\n            return 0\n\n        # Otherwise, we need to change one additional character to make it beautiful\n        return 1",
                "class Solution:\n    def minChanges(self, s: str) -> int:\n        n = len(s)\n        zero_count = s.count('0')\n        one_count = n - zero_count\n\n        # If there are an even number of both 0's and 1's, we can make the string beautiful with no changes\n        if zero_count % 2 == 0 and one_count % 2 == 0:\n            return 0\n\n        # If there are an odd number of 0's and 1's, we must change one additional character\n        if zero_count % 2 and one_count % 2:\n            return 1\n\n        # If there are an odd number of 0's, we must change all the 1's to make the string beautiful\n        if zero_count % 2:\n            return one_count\n\n        # If there are an odd number of 1's, we must change all the 0's to make the string beautiful\n        return zero_count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = float('inf')\n        for i in range(1, n - 2):\n            if nums[i - 1] < nums[i] and nums[i + 1] < nums[i]:\n                res = min(res, nums[i - 1] + nums[i] + nums[i + 1])\n        return -1 if res == float('inf') else res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = float(\"inf\")\n        for i in range(1, n - 2):\n            if nums[i] > nums[i - 1]:\n                res = min(res, nums[i - 1] + nums[i] + nums[n - 1])\n            if i < n - 2 and nums[i] > nums[i + 1]:\n                res = min(res, nums[i + 1] + nums[i] + nums[i - 1])\n        if res == float(\"inf\"):\n            res = -1\n        return res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = float(\"inf\")\n        for i in range(n - 1, 1, -1):\n            for j in range(i - 1, 0, -1):\n                for k in range(j - 1, -1, -1):\n                    res = min(res, nums[i] + nums[j] + nums[k])\n        if res == float(\"inf\"):\n            return -1\n        return res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = float('inf')\n        for i in range(1, n - 2):\n            if nums[i - 1] < nums[i] and nums[i + 1] < nums[i]:\n                res = min(res, nums[i - 1] + nums[i] + nums[i + 1])\n        return -1 if res == float('inf') else res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n < 3:\n            return -1\n        \n        nums.sort()\n        \n        res = float(\"inf\")\n        for i in range(1, n - 1):\n            j = i - 1\n            k = i + 1\n            while j >= 0 and k < n:\n                if nums[j] < nums[i] and nums[k] < nums[i]:\n                    res = min(res, nums[j] + nums[i] + nums[k])\n                    j -= 1\n                    k += 1\n                    \n        return -1 if res == float(\"inf\") else res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        n = len(nums)\n        if n < 3:\n            return -1\n        \n        nums.sort()\n        \n        res = float('inf')\n        for i in range(1, n - 1):\n            left = nums[i - 1]\n            peak = nums[i]\n            right = nums[i + 1]\n            \n            if left < peak and right < peak:\n                res = min(res, left + peak + right)\n        \n        if res == float('inf'):\n            return -1\n        else:\n            return res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = float(\"inf\")\n        for i in range(n - 1, 1, -1):\n            for j in range(i - 1, 0, -1):\n                for k in range(j - 1, -1, -1):\n                    if nums[i] < nums[j] and nums[k] < nums[j]:\n                        res = min(res, nums[i] + nums[j] + nums[k])\n        return -1 if res == float(\"inf\") else res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = -1\n        for i in range(1, n - 2):\n            if nums[i - 1] < nums[i] and nums[i] > nums[i + 1]:\n                res = nums[i - 1] + nums[i] + nums[i + 1]\n                break\n        return res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = -1\n        for i in range(1, n - 2):\n            if nums[i] > nums[i - 1]:\n                left = nums[i - 1]\n                right = nums[i + 1]\n                peak = nums[i]\n                res = min(res, left + peak + right)\n        return res",
                "class Solution:\n    def minimumSum(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        res = float(\"inf\")\n        for i in range(n - 1, 1, -1):\n            for j in range(i - 1, 0, -1):\n                for k in range(j - 1, -1, -1):\n                    res = min(res, nums[i] + nums[j] + nums[k])\n        return res if res != float(\"inf\") else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for i in range(31):\n                if num & (1 << i):\n                    count[i] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for i in range(31):\n                if num & (1 << i):\n                    count[i] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res",
                "class Solution:\n    def findKOr(self, nums: List[int], k: int) -> int:\n        count = [0] * 31\n        for num in nums:\n            for j in range(31):\n                if num & (1 << j):\n                    count[j] += 1\n        res = 0\n        for i in range(31):\n            if count[i] >= k:\n                res |= 1 << i\n        return res"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        stack = []\n        max_sum = 0\n\n        for num in nums:\n            while stack and num - stack[-1] >= len(stack):\n                stack.pop()\n\n            stack.append(num)\n            max_sum += num\n\n        return max_sum",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        stack = []\n        max_sum = 0\n\n        for num in nums:\n            while stack and num - stack[-1][0] >= len(stack):\n                max_sum -= stack.pop()[1]\n\n            stack.append((num, max_sum + num))\n            max_sum = max(max_sum, num)\n\n        return max_sum + stack[0][1]",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        dp = [0] * (len(nums) + 1)\n        for num in nums:\n            lower_bound = -1\n            upper_bound = len(dp)\n            while upper_bound - lower_bound > 1:\n                mid = (lower_bound + upper_bound) // 2\n                if dp[mid] - num >= mid - 1:\n                    lower_bound = mid\n                else:\n                    upper_bound = mid\n            dp[upper_bound] = max(dp[upper_bound], num + upper_bound - 1)\n        return max(dp)",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        dp = [0] * (len(nums) + 1)\n        for num in nums:\n            dp_new = [0] * (len(nums) + 1)\n            for i in range(len(dp) - 1, -1, -1):\n                dp_new[i + 1] = max(dp_new[i + 1], dp[i] + num - i)\n                dp_new[max(0, i + 2)] = max(dp_new[max(0, i + 2)], dp[i] + num - (i + 1))\n            dp = dp_new\n        return max(dp)",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        dp = [0] * len(nums)\n        dp[0] = nums[0]\n        for i in range(1, len(nums)):\n            dp[i] = max(dp[i - 1], nums[i] + max(0, dp[max(0, i - 2)]))\n        return max(dp)",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        stack = []\n        max_sum = -float(\"inf\")\n\n        for num in nums:\n            while stack and num - stack[-1][0] >= len(stack):\n                max_sum = max(max_sum, stack[-1][1])\n                stack.pop()\n\n            stack.append((num, num + stack[-1][1] if stack else num))\n\n        return max(max_sum, stack[-1][1])",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        stack = []\n        max_sum = -float(\"inf\")\n\n        for num in nums:\n            while stack and num - stack[-1][0] >= len(stack):\n                max_sum = max(max_sum, stack[-1][1])\n                stack.pop()\n\n            stack.append((num, num + max_sum))\n\n        return max_sum + stack[0][1]",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        dp = [float('-inf')] * len(nums)\n        dp[0] = nums[0]\n\n        for i in range(1, len(nums)):\n            for j in range(i, -1, -1):\n                if j == 0 or nums[i] - nums[j - 1] >= i - j:\n                    dp[i] = max(dp[i], dp[j - 1] + nums[i])\n\n        return max(dp)",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        stack = []\n        max_sum = cur_sum = 0\n\n        for i, num in enumerate(nums):\n            if not stack or num - stack[-1][0] >= i - stack[-1][1]:\n                stack.append([num, i])\n                cur_sum += num\n            else:\n                while stack and num - stack[-1][0] < i - stack[-1][1]:\n                    prev_num, prev_i = stack.pop()\n                    cur_sum -= prev_num\n\n                stack.append([num, i])\n                cur_sum += num\n\n            max_sum = max(max_sum, cur_sum)\n\n        return max_sum",
                "class Solution:\n    def maxBalancedSubsequenceSum(self, nums: List[int]) -> int:\n        dp = [0] * len(nums)\n        dp[0] = nums[0]\n        for i in range(1, len(nums)):\n            dp[i] = max(dp[i - 1], nums[i] + max(0, dp[max(0, i - nums[i] - 1)]))\n        return max(dp)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degree = [0] * n\n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degree[j] += 1\n\n        zero_in_degree = [i for i in range(n) if in_degree[i] == 0]\n        return zero_in_degree[0]",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degree = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degree[j] += 1\n        for i in range(n):\n            if in_degree[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degrees = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degrees[j] += 1\n        for i in range(n):\n            if in_degrees[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degree = [0] * n\n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degree[j] += 1\n\n        for i in range(n):\n            if in_degree[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degree = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degree[j] += 1\n        for i in range(n):\n            if in_degree[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degrees = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degrees[j] += 1\n        for i in range(n):\n            if in_degrees[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degrees = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degrees[j] += 1\n        for i in range(n):\n            if in_degrees[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degree = [0] * n\n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degree[j] += 1\n\n        for i in range(n):\n            if in_degree[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degrees = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degrees[j] += 1\n        for i in range(n):\n            if in_degrees[i] == 0:\n                return i",
                "class Solution:\n    def findChampion(self, grid: List[List[int]]) -> int:\n        n = len(grid)\n        in_degrees = [0] * n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == 1:\n                    in_degrees[j] += 1\n        for i in range(n):\n            if in_degrees[i] == 0:\n                return i"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 or nums2[n - 1] < max2:\n            return -1\n        cnt1 = 0\n        cnt2 = 0\n        for i in range(n):\n            if nums1[i] == max1:\n                cnt1 += 1\n            if nums2[i] == max2:\n                cnt2 += 1\n        return max(0, cnt1 + cnt2 - 2)",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n\n        count1 = nums1.count(max1)\n        count2 = nums2.count(max2)\n\n        if max1 == max2:\n            if count1 == 1 and count2 == 1:\n                return 0\n            else:\n                return min(count1, count2) - 1\n        else:\n            if count1 == 1 and count2 == 1:\n                return 1\n            elif count1 == 1 or count2 == 1:\n                return 2\n            else:\n                return 2 if count1 + count2 <= 2 else 3",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n        cnt1, cnt2 = 0, 0\n        for i in range(n):\n            if nums1[i] == max1:\n                cnt1 += 1\n            if nums2[i] == max2:\n                cnt2 += 1\n        return max(0, cnt1 + cnt2 - 2)",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n        cnt1 = 0\n        cnt2 = 0\n        for i in range(n):\n            if nums1[i] == max1:\n                cnt1 += 1\n            if nums2[i] == max2:\n                cnt2 += 1\n        return max(0, cnt1 + cnt2 - 2)",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n        count1, count2 = 0, 0\n        for i in range(n):\n            if nums1[i] == max1:\n                count1 = i\n            if nums2[i] == max2:\n                count2 = i\n        return min(count1, count2)",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n        cnt1, cnt2 = 0, 0\n        for i in range(n):\n            if nums1[i] == max1:\n                cnt1 += 1\n            if nums2[i] == max2:\n                cnt2 += 1\n        return max(0, cnt1 + cnt2 - 2)",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 or nums2[n - 1] < max2:\n            return -1\n        count1 = nums1.count(max1)\n        count2 = nums2.count(max2)\n        if max1 == max2:\n            return max(count1 - 1, count2 - 1)\n        else:\n            return max(count1, count2) - 1",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n        count1, count2 = 0, 0\n        for i in range(n):\n            if nums1[i] == max1:\n                count1 += 1\n            if nums2[i] == max2:\n                count2 += 1\n        return max(0, 2 - (count1 > 0) - (count2 > 0))",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 and nums2[n - 1] < max2:\n            return -1\n        cnt1, cnt2 = 0, 0\n        for i in range(n):\n            if nums1[i] == max1:\n                cnt1 += 1\n            if nums2[i] == max2:\n                cnt2 += 1\n        return max(0, cnt1 + cnt2 - 2)",
                "class Solution:\n    def minOperations(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        max1 = max(nums1)\n        max2 = max(nums2)\n        if nums1[n - 1] < max1 or nums2[n - 1] < max2:\n            return -1\n        cnt1, cnt2 = 0, 0\n        for i in range(n):\n            if nums1[i] == max1:\n                cnt1 += 1\n            if nums2[i] == max2:\n                cnt2 += 1\n        return max(0, cnt1 + cnt2 - 2)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            xor_val = a ^ i\n            max_val = max(max_val, (xor_val * (b ^ i)) % mod)\n        return max_val",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            x = a ^ i\n            y = b ^ i\n            max_val = max(max_val, (x * y) % mod)\n        return max_val",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            xor_val = a ^ i\n            max_val = max(max_val, xor_val * (b ^ i))\n        return max_val % mod",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            x = (a ^ i) * (b ^ i)\n            max_val = max(max_val, x)\n        return max_val % mod",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        MOD = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            xor_val = a ^ i\n            max_val = max(max_val, xor_val * (b ^ i))\n        return max_val % MOD",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            xor_val = a ^ i\n            max_val = max(max_val, (xor_val * (b ^ i)) % mod)\n        return max_val",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        MOD = 10**9 + 7\n        max_val = 0\n        a_xor_b = a ^ b\n        for i in range(n, -1, -1):\n            mask = 1 << i\n            if (a_xor_b & mask) != 0:\n                max_val |= mask\n                a_xor_b ^= mask\n            max_val = max(max_val, (a | mask) * (b | mask) % MOD)\n        return max_val % MOD",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            x = (a ^ i) * (b ^ i)\n            max_val = max(max_val, x)\n        return max_val % mod",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(1 << n):\n            xor_val = a ^ i\n            max_val = max(max_val, xor_val * (b ^ i))\n        return max_val % mod",
                "class Solution:\n    def maximumXorProduct(self, a: int, b: int, n: int) -> int:\n        mod = 10**9 + 7\n        max_val = 0\n        for i in range(n, -1, -1):\n            max_val |= 1 << i\n            a_xor = a ^ max_val\n            b_xor = b ^ max_val\n            max_val = max(max_val, (a_xor * b_xor) % mod)\n        return max_val"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):\n                    max_xor = max(max_xor, nums[i] ^ nums[j])\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):\n                    max_xor = max(max_xor, nums[i] ^ nums[j])\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):\n                    max_xor = max(max_xor, nums[i] ^ nums[j])\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor",
                "class Solution:\n    def maximumStrongPairXor(self, nums: List[int]) -> int:\n        max_xor = 0\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                x, y = nums[i], nums[j]\n                if abs(x - y) <= min(x, y):\n                    max_xor = max(max_xor, x ^ y)\n        return max_xor"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]",
                "class Solution:\n    def findWordsContaining(self, words: List[str], x: str) -> List[int]:\n        return [i for i, word in enumerate(words) if x in word]"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(map(int, s))\n        zeros = len(s) - ones\n        return min(ones, zeros)",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(int(ch) for ch in s)\n        zeros = len(s) - ones\n        return min(ones, zeros)",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(c == '1' for c in s)\n        zeros = len(s) - ones\n        dp = [0] * (ones + 1)\n        for i in range(1, ones + 1):\n            dp[i] = i\n            for j in range(i, ones):\n                if s[j] == '1':\n                    dp[i] = min(dp[i], dp[j] + i - j)\n        return dp[1] + zeros - 1",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(map(int, s))\n        zeros = len(s) - ones\n        return ones * zeros - ones + zeros",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(int(ch) for ch in s)\n        zeros = len(s) - ones\n        dp = [0] * (ones + 1)\n        for i in range(1, ones + 1):\n            dp[i] = i\n            for j in range(i, ones):\n                dp[i] = min(dp[i], dp[j] + (i - j))\n        res = dp[ones]\n        for i in range(1, zeros + 1):\n            res += min(ones, i)\n            ones -= 1\n        return res",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(c == '1' for c in s)\n        zeros = len(s) - ones\n        dp = [float('inf')] * (ones + 1)\n        dp[0] = 0\n        for i in range(len(s)):\n            if s[i] == '1':\n                dp[ones] = min(dp[ones], zeros)\n                ones -= 1\n                zeros += 1\n        return min(dp)",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(int(ch) for ch in s)\n        zeros = len(s) - ones\n        return min(ones, zeros)",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(map(int, s))\n        zeros = len(s) - ones\n        return min(ones, zeros)",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(int(ch) for ch in s)\n        zeros = len(s) - ones\n        dp = [0] * (ones + 1)\n        for i in range(1, ones + 1):\n            dp[i] = i\n            for j in range(i, ones):\n                dp[i] = min(dp[i], dp[j] + (i - j))\n        idx = 0\n        for i in range(len(s)):\n            if s[i] == '1':\n                idx += 1\n            if idx == ones:\n                break\n        return ones - dp[ones] + zeros - idx",
                "class Solution:\n    def minimumSteps(self, s: str) -> int:\n        ones = sum(int(ch) for ch in s)\n        zeros = len(s) - ones\n        dp = [float('inf')] * (ones + 1)\n        dp[0] = 0\n        for i in range(len(s)):\n            if s[i] == '1':\n                dp[ones] = min(dp[ones], zeros)\n                ones -= 1\n                zeros += 1\n        return min(dp)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, required, i, j = 0, 0, 0, n - 1\n            while i <= j:\n                while i < n - 1 and nums[i + 1] - nums[i] <= mid:\n                    i += 1\n                while j > 0 and nums[j] - nums[j - 1] > mid:\n                    j -= 1\n                if i <= j:\n                    count += 1\n                    required += j - i + 1\n                    i += 1\n                    j -= 1\n            if count > 1:\n                left = mid + 1\n            else:\n                right = mid\n        return count if k >= required else k // required + (1 if k % required else 0)",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, cur_k, i = 0, 0, 0\n            for i in range(n):\n                if nums[i] > mid + nums[0] or nums[i] < mid + nums[i]:\n                    cur_k += abs(nums[i] - (mid + nums[i]))\n                if nums[i] + cur_k >= mid + nums[i]:\n                    count += 1\n            if count >= k:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, required, i, j = 0, 0, 0, n - 1\n            while i <= j:\n                while i < n and nums[i] <= mid:\n                    required += mid - nums[i]\n                    count += 1\n                    i += 1\n                while j >= 0 and nums[j] > mid:\n                    required -= nums[j] - mid\n                    j -= 1\n                if count * 2 > n:\n                    break\n            if required <= k:\n                left = mid + 1\n            else:\n                right = mid\n        return left - 1",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, required, i = 0, 0, 0\n            for i in range(n):\n                if nums[i] - i >= mid:\n                    count += 1\n                    required += mid - (nums[i] - i)\n            if count > 1 and required <= k:\n                left = mid + 1\n            else:\n                right = mid\n        return count",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, required, sum = 0, 0, 0\n            for i in range(n):\n                sum += abs(nums[i] - (nums[0] + mid))\n                required = max(required, abs(nums[i] - (nums[0] + mid)))\n                if sum <= k:\n                    count += 1\n            if sum <= k:\n                left = mid + 1\n            else:\n                right = mid\n        return count",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            cnt, sum_ = 0, 0\n            for i in range(n):\n                sum_ += max(0, nums[i] - (nums[0] + mid - 1))\n                cnt += sum_ == 0\n            if cnt <= k:\n                right = mid\n            else:\n                left = mid + 1\n        return left",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, cur_k = 0, 0\n            for i in range(n):\n                cur_k += abs(nums[i] - (nums[0] + mid))\n            if cur_k <= k:\n                count = 1\n                for i in range(1, n):\n                    if nums[i] - nums[i - 1] > 1:\n                        count += (nums[i] - nums[i - 1] - 1) // 2\n                left = mid + 1\n            else:\n                right = mid\n        return count",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, required, sum_ = 0, 0, 0\n            for i in range(n):\n                sum_ += abs(nums[i] - (nums[0] + mid))\n                if sum_ > k:\n                    break\n                count += 1 if abs(nums[i] - (nums[0] + mid)) <= required else 0\n                required = max(required, abs(nums[i] - (nums[0] + mid)))\n            if sum_ <= k:\n                count += 1\n            if sum_ <= k:\n                right = mid\n            else:\n                left = mid + 1\n        return left",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, cur_k, i = 0, 0, 0\n            for i in range(n):\n                if nums[i] - i >= mid:\n                    count += 1\n                    cur_k += mid - (nums[i] - i)\n            if count > 1 and cur_k <= k:\n                right = mid\n            else:\n                left = mid + 1\n        return count",
                "class Solution:\n    def maxFrequencyScore(self, nums: List[int], k: int) -> int:\n        nums.sort()\n        n = len(nums)\n        left, right = 0, nums[-1] - nums[0] + 1\n        while left < right:\n            mid = left + (right - left) // 2\n            count, cur_k = 1, 0\n            for i in range(1, n):\n                if nums[i] - nums[i - 1] > mid:\n                    cur_k += 1\n                    count = 1\n                elif nums[i] - nums[i - 1] == mid:\n                    count += 1\n                else:\n                    count = 1\n            if cur_k <= k:\n                left = mid + 1\n            else:\n                right = mid\n        return left"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [[0] * (n + 1) for _ in range(3)]\n        for i in range(limit + 1):\n            dp[0][i] = 1\n        for i in range(1, 3):\n            for j in range(1, n + 1):\n                for k in range(0, min(j, limit) + 1):\n                    dp[i][j] += dp[i - 1][j - k]\n        return dp[2][n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [[0] * (n + 1) for _ in range(3)]\n        for i in range(limit + 1):\n            dp[0][i] = 1\n        for i in range(1, 3):\n            for j in range(limit + 1):\n                for k in range(j, limit + 1):\n                    dp[i][j + k] += dp[i - 1][j] * dp[i][k]\n        return dp[2][n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [[0] * (n + 1) for _ in range(3)]\n        for i in range(limit + 1):\n            dp[0][i] = 1\n        for i in range(1, 3):\n            for j in range(limit + 1):\n                for k in range(j, limit + 1):\n                    dp[i][j + k] += dp[i - 1][j] * dp[i][k]\n        return dp[2][n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [[0] * (n + 1) for _ in range(3)]\n        for i in range(limit + 1):\n            dp[0][i] = 1\n        for i in range(1, 3):\n            for j in range(1, n + 1):\n                for k in range(limit + 1):\n                    if j - k >= 0:\n                        dp[i][j] += dp[i - 1][j - k]\n        return sum(dp[2][i] for i in range(n + 1))",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, min(i, limit) + 1):\n                dp[i] += dp[i - j]\n\n        return dp[n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            for j in range(1, min(i, limit) + 1):\n                dp[i] += dp[i - j]\n        return dp[n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            for j in range(1, min(i, limit) + 1):\n                dp[i] += dp[i - j]\n        return dp[n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [[0] * (n + 1) for _ in range(3)]\n        for i in range(limit + 1):\n            dp[0][i] = 1\n        for i in range(1, 3):\n            for j in range(1, n + 1):\n                for k in range(limit + 1):\n                    if j - k >= 0:\n                        dp[i][j] += dp[i - 1][j - k]\n        return dp[2][n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            for j in range(limit, -1, -1):\n                if i - j >= 0:\n                    dp[i] += dp[i - j]\n        return dp[n]",
                "class Solution:\n    def distributeCandies(self, n: int, limit: int) -> int:\n        dp = [[0] * (n + 1) for _ in range(3)]\n        for i in range(limit + 1):\n            dp[0][i] = 1\n        for i in range(1, 3):\n            for j in range(limit + 1):\n                for k in range(j, limit + 1):\n                    dp[i][j + k] += dp[i - 1][j] * dp[i][k]\n        return dp[2][n]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (n + 1) for _ in range(4)]\n        dp[0][1] = 1\n        for i in range(1, n + 1):\n            for j in range(3, -1, -1):\n                dp[j][i] = sum(dp[k][i - 1] for k in range(4)) % mod\n                if j > 0:\n                    dp[j - 1][i] = (dp[j - 1][i] - dp[j][i - 1] + mod) % mod\n        return dp[0][n]",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (n + 1) for _ in range(4)]\n        dp[0][1] = 1\n        for i in range(1, n + 1):\n            for j in range(3, -1, -1):\n                dp[j][i] = sum(dp[k][i - 1] for k in range(4)) % mod\n                if j > 0:\n                    dp[j - 1][i] = (dp[j - 1][i] - dp[j][i - 4] + mod) % mod\n        return dp[0][n]",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            for j in range(i, n + 1):\n                dp[j] = (dp[j] + dp[j - i] * (26 ** (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod",
                "class Solution:\n    def stringCount(self, n: int) -> int:\n        mod = 10**9 + 7\n        dp = [0] * (n + 1)\n        dp[0] = 1\n        for i in range(1, n + 1):\n            dp[i] = (dp[i - 1] * (26 - (i - 1))) % mod\n        return (dp[n] - dp[n - 4] + mod) % mod"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = prefix[i - 1] ^ (1 << (ord(s[i]) - ord('a')))\n            suffix[i] = suffix[i + 1] ^ (1 << (ord(s[i]) - ord('a')))\n\n        answer = []\n        for a, b, c, d in queries:\n            x = prefix[b] ^ prefix[a - 1]\n            y = suffix[c + 1] ^ suffix[d]\n            answer.append((x & y) == 0)\n\n        return answer",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = self.get_count(s[:i+1])\n            suffix[i] = self.get_count(s[-1-i:])\n\n        answer = []\n        for query in queries:\n            a, b, c, d = query\n            left_count = self.get_count(s[a:b+1])\n            right_count = self.get_count(s[c:d+1])\n\n            left_needed = prefix[d] - prefix[b] - left_count\n            right_needed = suffix[n-1-a] - suffix[n-1-c] - right_count\n\n            answer.append(left_needed == right_needed)\n\n        return answer\n\n    def get_count(self, s: str) -> int:\n        count = 0\n        for ch in set(s):\n            count += s.count(ch) % 2\n        return count",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        mid = n // 2\n        prefix = [False] * (mid + 1)\n        suffix = [False] * (mid + 1)\n\n        for i in range(mid):\n            if s[i] == s[mid - i - 1]:\n                prefix[i + 1] = suffix[mid - i] = True\n\n        answer = []\n        for query in queries:\n            a, b, c, d = query\n            if (\n                any(s[i] == s[mid + i] for i in range(a, b + 1))\n                and any(s[j] == s[mid + j - 1] for j in range(c, d + 1))\n            ):\n                answer.append(True)\n            elif (\n                any(s[i] == s[mid + i - 1] for i in range(a, b + 1))\n                and any(s[j] == s[2 * mid - j - 1] for j in range(c, d + 1))\n            ):\n                answer.append(True)\n            elif (\n                any(s[i] == s[2 * mid - i - 1] for i in range(a, b + 1))\n                and any(s[j] == s[mid + j] for j in range(c, d + 1))\n            ):\n                answer.append(True)\n            elif (\n                any(s[i] == s[mid] for i in range(a, b + 1))\n                and any(s[j] == s[mid] for j in range(c, d + 1))\n            ):\n                answer.append(True)\n            elif (\n                any(s[i] == s[mid] for i in range(a, b + 1))\n                and prefix[c]\n                and suffix[d - mid + 1]\n            ):\n                answer.append(True)\n            elif (\n                prefix[a]\n                and suffix[b - mid + 1]\n                and any(s[j] == s[mid] for j in range(c, d + 1))\n            ):\n                answer.append(True)\n            elif (\n                prefix[a]\n                and suffix[b - mid + 1]\n                and prefix[c]\n                and suffix[d - mid + 1]\n            ):\n                answer.append(True)\n            else:\n                answer.append(False)\n\n        return answer",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = self.get_count(s[:i+1])\n            suffix[i] = self.get_count(s[n-1-i:][::-1])\n\n        answer = []\n        for query in queries:\n            a, b, c, d = query\n            left_count = self.get_count(s[a:b+1])\n            right_count = self.get_count(s[c:d+1][::-1])\n\n            left_palindrome = prefix[b] - prefix[a-1] - left_count\n            right_palindrome = suffix[d-1] - suffix[c-n//2] - right_count\n\n            answer.append(left_palindrome == 1 and right_palindrome == 1)\n\n        return answer\n\n    def get_count(self, s: str) -> int:\n        count = 0\n        for ch in set(s):\n            count += s.count(ch) % 2\n        return count",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        mid = n // 2\n        prefix = [False] * (mid + 1)\n        suffix = [False] * (mid + 1)\n\n        for i in range(mid):\n            if s[i] == s[mid - i - 1]:\n                prefix[i + 1] = suffix[mid - i] = True\n\n        answer = []\n        for query in queries:\n            a, b, c, d = query\n            if not prefix[a] and not suffix[c]:\n                answer.append(False)\n                continue\n            if not prefix[b + 1] and not suffix[d + 1]:\n                answer.append(False)\n                continue\n            if not prefix[a] and not prefix[b + 1] and s[a:b + 1] != s[a:b + 1][::-1]:\n                answer.append(False)\n                continue\n            if not suffix[c] and not suffix[d + 1] and s[c:d + 1] != s[c:d + 1][::-1]:\n                answer.append(False)\n                continue\n            answer.append(True)\n\n        return answer",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = self.get_count(s[:i+1])\n            suffix[i] = self.get_count(s[i:][::-1])\n\n        answer = []\n        for query in queries:\n            a, b, c, d = query\n            left_count = prefix[b] - prefix[a]\n            right_count = suffix[d] - suffix[c - 1]\n\n            answer.append(left_count + right_count <= 1)\n\n        return answer\n\n    def get_count(self, s: str) -> int:\n        count = 0\n        char_count = {}\n        for char in s:\n            if char not in char_count:\n                char_count[char] = 1\n            else:\n                char_count[char] += 1\n\n        for count in char_count.values():\n            if count % 2 != 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = (i + 1) * (s[i] == s[i - 1]) + prefix[i - 1]\n            suffix[n - 1 - i] = (i + 1) * (s[i] == s[i + 1]) + suffix[n - i]\n\n        answer = []\n        for a, b, c, d in queries:\n            x = prefix[b] - prefix[a - 1] if a else prefix[b]\n            y = suffix[d] - suffix[c - 1] if c == n // 2 else suffix[d] - suffix[c]\n\n            total_chars = x + y\n            total_needed = n // 2 - x if c == n // 2 else n // 2 - x - y\n\n            answer.append(total_chars >= total_needed)\n\n        return answer",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = prefix[i - 1] ^ (1 << ord(s[i]) - 97)\n            suffix[i] = suffix[i + 1] ^ (1 << ord(s[i]) - 97)\n\n        def is_palindrome(a, b):\n            return prefix[a] ^ suffix[b + 1] ^ (1 << ord(s[a]) - 97) ^ (1 << ord(s[b]) - 97) == 0\n\n        return [is_palindrome(queries[i][0], queries[i][2] - 1) for i in range(len(queries))]",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = (i + 1) if s[i] not in s[:i] else prefix[s[:i].rindex(s[i])]\n            suffix[n - 1 - i] = (n - i) if s[n - 1 - i] not in s[n - 1 - i + 1 :] else (\n                n - suffix[n - 2 - i].rindex(s[n - 1 - i]) - 1\n            )\n\n        return [\n            max(prefix[q[1]], suffix[q[3]]) - min(prefix[q[0]], suffix[q[2]]) - 1 <= 2\n            for q in queries\n        ]",
                "class Solution:\n    def canMakePalindromeQueries(self, s: str, queries: List[List[int]]) -> List[bool]:\n        n = len(s)\n        prefix = [0] * n\n        suffix = [0] * n\n\n        for i in range(n):\n            prefix[i] = self.get_count(s[:i+1])\n            suffix[i] = self.get_count(s[i:])\n\n        answer = []\n        for query in queries:\n            a, b, c, d = query\n            left_count = prefix[b] - prefix[a]\n            right_count = suffix[c] - suffix[d]\n\n            if left_count == 1 and right_count == 1 and s[a] != s[c]:\n                answer.append(False)\n            else:\n                answer.append(True)\n\n        return answer\n\n    def get_count(self, s: str) -> int:\n        count = 0\n        for i in range(len(s)):\n            if s[i] not in s[:i]:\n                count += 1\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        count1 = sum(1 for i in nums1 if i in set2)\n        count2 = sum(1 for i in nums2 if i in set1)\n        return [count1, count2]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        return [sum(1 for i in nums1 if i in set2), sum(1 for i in nums2 if i in set1)]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        return [sum(1 for i in nums1 if i in set2), sum(1 for i in nums2 if i in set1)]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        count1 = sum(1 for num in nums1 if num in set2)\n        count2 = sum(1 for num in nums2 if num in set1)\n        return [count1, count2]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        count1 = sum(1 for num in nums1 if num in set2)\n        count2 = sum(1 for num in nums2 if num in set1)\n        return [count1, count2]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        count1 = sum(1 for num in nums1 if num in set2)\n        count2 = sum(1 for num in nums2 if num in set1)\n        return [count1, count2]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        return [sum(1 for i in nums1 if i in set2), sum(1 for i in nums2 if i in set1)]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        count1 = sum(1 for i in nums1 if i in set2)\n        count2 = sum(1 for i in nums2 if i in set1)\n        return [count1, count2]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        return [sum(1 for i in nums1 if i in set2), sum(1 for i in nums2 if i in set1)]",
                "class Solution:\n    def findIntersectionValues(self, nums1: List[int], nums2: List[int]) -> List[int]:\n        set1 = set(nums1)\n        set2 = set(nums2)\n        return [sum(1 for num in nums1 if num in set2), sum(1 for num in nums2 if num in set1)]"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_ops(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(min_ops(s1, s2) + min_ops(s1, s3), min_ops(s1, s2) + min_ops(s2, s3), min_ops(s1, s3) + min_ops(s2, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_operations(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n        return min(min_operations(s1, s2) + min_operations(s2, s3), min_operations(s1, s3) + min_operations(s3, s2), min_operations(s1, s2) + min_operations(s1, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_operations(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(min_operations(s1, s2) + min_operations(s2, s3), min_operations(s1, s3) + min_operations(s2, s3), min_operations(s1, s2) + min_operations(s1, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_ops(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        ops12 = min_ops(s1, s2)\n        ops13 = min_ops(s1, s3)\n        ops23 = min_ops(s2, s3)\n\n        if min(ops12, ops13, ops23) == len(min(s1, s2, s3, key=len)):\n            return max(ops12, ops13, ops23)\n        return -1",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_operations(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(min_operations(s1, s2) + min_operations(s2, s3),\n                   min_operations(s1, s3) + min_operations(s3, s2),\n                   min_operations(s1, s2) + min_operations(s1, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_operations(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(\n            min(\n                min_operations(s1, s2) + min_operations(s1, s3),\n                min_operations(s2, s1) + min_operations(s2, s3),\n            ),\n            min_operations(s3, s1) + min_operations(s3, s2),\n        )",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_ops(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(min_ops(s1, s2) + min_ops(s2, s3), min_ops(s1, s3) + min_ops(s1, s2), min_ops(s2, s3) + min_ops(s1, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_ops(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(min_ops(s1, s2) + min_ops(s2, s3), min_ops(s1, s3) + min_ops(s3, s2), min_ops(s1, s2) + min_ops(s1, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_ops(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n        return min(min_ops(s1, s2), min_ops(s1, s3), min_ops(s2, s3))",
                "class Solution:\n    def findMinimumOperations(self, s1: str, s2: str, s3: str) -> int:\n        def min_ops(s1, s2):\n            i, j = 0, 0\n            while i < len(s1) and j < len(s2):\n                if s1[i] != s2[j]:\n                    break\n                i += 1\n                j += 1\n            return len(s1) - i + len(s2) - j\n\n        if s1[0] != s2[0] or s1[0] != s3[0] or s2[0] != s3[0]:\n            return -1\n\n        return min(min_ops(s1, s2) + min_ops(s1, s3), min_ops(s1, s2) + min_ops(s2, s3), min_ops(s1, s3) + min_ops(s2, s3))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        dp = [0] * len(prices)\n        dp[0] = prices[0]\n        for i in range(1, len(prices)):\n            dp[i] = min(dp[i - 1], prices[i]) + min(prices[i], dp[max(0, i - prices[i])])\n        return dp[-1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        dp = [0] * len(prices)\n        dp[0] = prices[0]\n\n        for i in range(1, len(prices)):\n            dp[i] = min(dp[i - 1], prices[i]) + min(dp[max(0, i - prices[i])], prices[i])\n\n        return min(dp)",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i * (i + 1)) // 2)\n\n        return dp[n - 1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i + 1) * dp[max(0, i - prices[i])])\n\n        return dp[n - 1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        dp = [0] * len(prices)\n        dp[0] = prices[0]\n\n        for i in range(1, len(prices)):\n            dp[i] = min(dp[i - 1], prices[i] + (i * dp[max(0, i - prices[i] - 1)]))\n\n        return dp[-1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i + 1) * prices[0])\n\n        return min(dp)",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i + 1) * dp[max(0, i - 2)])\n\n        return dp[n - 1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i + 1) * dp[max(0, i - 2)])\n\n        return dp[n - 1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i + 1) * dp[max(0, i - 2)])\n\n        return dp[n - 1]",
                "class Solution:\n    def minimumCoins(self, prices: List[int]) -> int:\n        n = len(prices)\n        dp = [0] * n\n        dp[0] = prices[0]\n\n        for i in range(1, n):\n            dp[i] = min(dp[i - 1], prices[i] + (i + 1) * dp[max(0, i - 2)])\n\n        return dp[n - 1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_map = {\"a\": 0, \"e\": 0, \"i\": 0, \"o\": 0, \"u\": 0}\n\n        for i in range(len(s)):\n            if s[i] in vowel_map:\n                vowel_count += 1\n                vowel_map[s[i]] += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_map = {\"a\": 0, \"e\": 0, \"i\": 0, \"o\": 0, \"u\": 0}\n\n        for i in range(len(s)):\n            if s[i] in vowel_map:\n                vowel_count += 1\n                vowel_map[s[i]] += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_set = set(\"aeiou\")\n        \n        for char in s:\n            if char in vowel_set:\n                vowel_count += 1\n            else:\n                consonant_count += 1\n            \n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n        \n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_map = {\"a\": 0, \"e\": 0, \"i\": 0, \"o\": 0, \"u\": 0}\n\n        for i in range(len(s)):\n            if s[i] in vowel_map:\n                vowel_count += 1\n                vowel_map[s[i]] += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_map = {\"a\": 0, \"e\": 0, \"i\": 0, \"o\": 0, \"u\": 0}\n\n        for i in range(len(s)):\n            if s[i] in vowel_map:\n                vowel_count += 1\n                vowel_map[s[i]] += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_set = set(\"aeiou\")\n\n        for char in s:\n            if char in vowel_set:\n                vowel_count += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_set = set(\"aeiou\")\n\n        for char in s:\n            if char in vowel_set:\n                vowel_count += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_map = {\"a\": 0, \"e\": 0, \"i\": 0, \"o\": 0, \"u\": 0}\n\n        for i in range(len(s)):\n            if s[i] in vowel_map:\n                vowel_count += 1\n                vowel_map[s[i]] += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n            for j in range(i + 1, len(s)):\n                if s[j] in vowel_map:\n                    vowel_map[s[j]] -= 1\n                    if vowel_map[s[j]] == 0:\n                        vowel_count -= 1\n                    else:\n                        consonant_count -= 1\n\n                    if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                        count += 1\n\n                else:\n                    if vowel_count > consonant_count:\n                        vowel_count -= 1\n                    else:\n                        consonant_count -= 1\n\n                    if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                        count += 1\n\n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_set = set(\"aeiou\")\n        \n        for i in range(len(s)):\n            if s[i] in vowel_set:\n                vowel_count += 1\n            else:\n                consonant_count += 1\n            \n            while vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n                if i == 0 or s[i - 1] in vowel_set:\n                    consonant_count -= 1\n                else:\n                    vowel_count -= 1\n        \n        return count",
                "class Solution:\n    def beautifulSubstrings(self, s: str, k: int) -> int:\n        count = 0\n        vowel_count = 0\n        consonant_count = 0\n        vowel_map = {\"a\": 0, \"e\": 0, \"i\": 0, \"o\": 0, \"u\": 0}\n\n        for i in range(len(s)):\n            if s[i] in vowel_map:\n                vowel_count += 1\n                vowel_map[s[i]] += 1\n            else:\n                consonant_count += 1\n\n            if vowel_count == consonant_count and (vowel_count * consonant_count) % k == 0:\n                count += 1\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[j][1] + nums[i], nums[i])\n                else:\n                    dp[i][0] = 1\n                    dp[i][1] = nums[i]\n\n        return max(dp)[0]",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[j][1] + nums[i], nums[i])\n                else:\n                    dp[i][0] = 1\n                    dp[i][1] = nums[i]\n\n        return max(dp)[0]",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n        max_len = 1\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[j][1], dp[i][1])\n                else:\n                    dp[i][1] = dp[j][1] + nums[i]\n\n                max_len = max(max_len, dp[i][0])\n\n        return max_len",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[j][1], dp[i][0] * nums[i])\n                else:\n                    dp[i][1] = max(dp[i][1], dp[j][1])\n        return max(dp)[0]",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[j][1] + nums[i], nums[i])\n                else:\n                    dp[i][0] = 1\n                    dp[i][1] = nums[i]\n\n        return max(dp)[0]",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        max_len = 1\n        sum_so_far = nums[0]\n        prev_sum = 0\n        for num in nums[1:]:\n            prev_sum = max(prev_sum, sum_so_far)\n            sum_so_far = num if num > sum_so_far else sum_so_far + num\n            max_len = max(max_len, sum_so_far - prev_sum + 1)\n        return max_len",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n        max_len = 1\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[i][1], dp[j][1] + nums[i])\n                else:\n                    dp[i][1] = max(dp[i][1], dp[j][1])\n\n                max_len = max(max_len, dp[i][0])\n\n        return max_len",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n        max_len = 1\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[i][1], dp[j][1] + nums[i])\n                else:\n                    dp[i][1] = max(dp[i][1], dp[j][1])\n\n                max_len = max(max_len, dp[i][0])\n\n        return max_len",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[j][1] + nums[i], nums[i])\n                else:\n                    dp[i][0] = 1\n                    dp[i][1] = nums[i]\n\n        return max(dp)[0]",
                "class Solution:\n    def findMaximumLength(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[1, nums[0]] for _ in range(n)]\n        max_len = 1\n\n        for i in range(1, n):\n            for j in range(i, -1, -1):\n                if nums[i] >= nums[j]:\n                    dp[i][0] = dp[j][0] + 1\n                    dp[i][1] = max(dp[i][1], dp[j][1] + nums[i])\n                else:\n                    dp[i][1] = max(dp[i][1], dp[j][1])\n\n                max_len = max(max_len, dp[i][0])\n\n        return max_len"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        count = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * count[nums[i]] % mod\n            dp[i + 1] = dp[i + 1] * count[nums[i]] % mod\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * c[nums[i]] % mod\n            dp[i + 1] = (dp[i + 1] + dp[i + 1] - 1) * c[nums[i]] % mod\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * count[nums[i]] % mod\n            count[nums[i]] -= 1\n\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * c[nums[i]] % mod\n            dp[i + 1] = (dp[i + 1] + dp[i + 1] - 1) % mod\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - c[nums[i]]) % mod\n        return dp[0]",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * c[nums[i]] % mod\n            dp[i + 1] = (dp[i + 1] + dp[i + 1] - 1) % mod\n        return dp[0]",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * c[nums[i]] % mod\n            dp[i + 1] = (dp[i + 1] + dp[i + 1] - 1) % mod\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        count = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * count[nums[i]] % mod\n            count[nums[i]] -= 1\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * c[nums[i]] % mod\n            dp[i + 1] = (dp[i + 1] + dp[i + 1] - 1) % mod\n        return dp[0] % mod",
                "class Solution:\n    def numberOfGoodPartitions(self, nums: List[int]) -> int:\n        from collections import Counter\n        c = Counter(nums)\n        mod = 10**9 + 7\n        dp = [1] * (len(nums) + 1)\n        for i in range(len(nums) - 1, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1] - 1) * c[nums[i]] % mod\n        return dp[0]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_element = max(nums)\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == max_element:\n                j = i\n                while j < len(nums) and nums[j] == max_element:\n                    j += 1\n                if j - i >= k:\n                    count += j - i + 1\n        return count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_num = max(nums)\n        max_count = nums.count(max_num)\n        return sum(max(0, min(max_count - i, k) + 1) for i in range(len(nums) + 1))",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_num = max(nums)\n        max_count = nums.count(max_num)\n\n        if k > max_count:\n            return 0\n\n        left, right = 0, 0\n        count = 0\n        while right < len(nums):\n            if nums[right] == max_num:\n                max_count -= 1\n                right += 1\n            if max_count >= k - 1:\n                count += right - left\n                left += 1\n            else:\n                left = right + 1\n\n        return count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_element = max(nums)\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == max_element:\n                j = i\n                while j < len(nums) and nums[j] == max_element:\n                    j += 1\n                if j - i >= k:\n                    count += j - i + 1\n        return count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_element = max(nums)\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == max_element:\n                j = i\n                while j < len(nums) and nums[j] == max_element:\n                    j += 1\n                if j - i >= k:\n                    count += j - i + 1\n        return count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_element = max(nums)\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == max_element:\n                j = i\n                while j < len(nums) and nums[j] == max_element:\n                    j += 1\n                if j - i >= k:\n                    count += j - i + 1\n        return count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_num = max(nums)\n        max_count = nums.count(max_num)\n\n        if k > max_count:\n            return 0\n\n        left, right = 0, 0\n        count = 0\n        while right < len(nums):\n            if nums[right] == max_num:\n                count += 1\n            if count >= k:\n                while left <= right and count >= k:\n                    if nums[left] == max_num:\n                        count -= 1\n                    left += 1\n                if count >= k:\n                    count += 1\n                    right += 1\n                    result += right - left + 1\n            else:\n                right += 1\n\n        return result",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_num = max(nums)\n        count = 0\n        subarray_count = 0\n\n        for num in nums:\n            if num == max_num:\n                count += 1\n                if count >= k:\n                    subarray_count += 1\n            else:\n                count = 0\n\n        return subarray_count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_element = max(nums)\n        count = 0\n        for i in range(len(nums)):\n            if nums[i] == max_element:\n                j = i\n                while j < len(nums) and nums[j] == max_element:\n                    j += 1\n                if j - i >= k:\n                    count += j - i + 1\n        return count",
                "class Solution:\n    def countSubarrays(self, nums: List[int], k: int) -> int:\n        max_element = max(nums)\n        count = 0\n        window_size = 0\n        max_count = 0\n\n        for num in nums:\n            if num == max_element:\n                max_count += 1\n            else:\n                max_count = 0\n\n            if max_count >= k:\n                window_size += 1\n                count += window_size\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1):\n            j = i + 1\n            while j > i:\n                if abs(nums[i] - nums[j]) > limit:\n                    break\n                if nums[j] < nums[i]:\n                    nums[i], nums[j] = nums[j], nums[i]\n                    break\n                j -= 1\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1):\n            j = i\n            while j > 0 and abs(nums[j - 1] - nums[j]) > limit:\n                nums[j - 1], nums[j] = nums[j], nums[j - 1]\n                j -= 1\n            nums[i], min_val = min((nums[i], val) for val in nums[i:][:-1] if abs(val - nums[i]) <= limit)\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1, 0, -1):\n            if nums[i - 1] > nums[i]:\n                j = i\n                while j < n and nums[j] < nums[i - 1] - limit:\n                    j += 1\n                nums[i - 1], nums[j - 1] = nums[j - 1], nums[i - 1]\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1):\n            j = i\n            while j > 0 and abs(nums[j - 1] - nums[j]) > limit:\n                nums[j - 1], nums[j] = nums[j], nums[j - 1]\n                j -= 1\n            nums[i], min_val = min((nums[i], val) for val in nums[i + 1 :])\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 2, -1, -1):\n            j = min(range(i, n), key=lambda x: nums[x])\n            if nums[i] > nums[j] + limit:\n                nums[i], nums[j] = nums[j], nums[i]\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1, 0, -1):\n            if nums[i - 1] > nums[i]:\n                j = i\n                while j < n and nums[j] < nums[i - 1] - limit:\n                    j += 1\n                nums[i - 1], nums[j - 1] = nums[j - 1], nums[i - 1]\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1):\n            j = i + 1\n            while j > i and abs(nums[j] - nums[j - 1]) > limit:\n                nums[j], nums[j - 1] = nums[j - 1], nums[j]\n                j -= 1\n            if nums[i] > nums[i + 1]:\n                nums[i:] = nums[n - 1 : i - 1 : -1]\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1):\n            j = i + 1\n            while j > i and abs(nums[j] - nums[j - 1]) > limit:\n                nums[j], nums[j - 1] = nums[j - 1], nums[j]\n                j -= 1\n            min_idx = min(j, i + 1)\n            if min_idx != i:\n                nums[i], nums[min_idx] = nums[min_idx], nums[i]\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1, 0, -1):\n            if nums[i - 1] > nums[i]:\n                j = min(i, (nums[i - 1] - limit) // (n - i + 1) + i)\n                nums[i - 1], nums[j] = nums[j], nums[i - 1]\n        return nums",
                "class Solution:\n    def lexicographicallySmallestArray(self, nums: List[int], limit: int) -> List[int]:\n        n = len(nums)\n        for i in range(n - 1):\n            j = i + 1\n            while j > i and abs(nums[j] - nums[j - 1]) > limit:\n                nums[j], nums[j - 1] = nums[j - 1], nums[j]\n                j -= 1\n            if nums[i] > nums[i + 1]:\n                nums[i:] = nums[i + 1:]\n        return nums"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        count = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                count += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return count",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        count = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                count += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return count",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices",
                "class Solution:\n    def countTestedDevices(self, batteryPercentages: List[int]) -> int:\n        tested_devices = 0\n        for i in range(len(batteryPercentages)):\n            if batteryPercentages[i] > 0:\n                tested_devices += 1\n                for j in range(i + 1, len(batteryPercentages)):\n                    batteryPercentages[j] = max(0, batteryPercentages[j] - 1)\n        return tested_devices"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i - 1] and mountain[i] > mountain[i + 1]:\n                peaks.append(i)\n        return peaks",
                "class Solution:\n    def findPeaks(self, mountain: List[int]) -> List[int]:\n        peaks = []\n        for i in range(1, len(mountain) - 1):\n            if mountain[i] > mountain[i-1] and mountain[i] > mountain[i+1]:\n                peaks.append(i)\n        return peaks"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        def is_complete_substring(s: str) -> bool:\n            letter_counts = [0] * 26\n            for c in s:\n                letter_counts[ord(c) - ord('a')] += 1\n            for count in letter_counts:\n                if count != k:\n                    return False\n            for i in range(1, len(s)):\n                if abs(ord(s[i]) - ord(s[i - 1])) > 2:\n                    return False\n            return True\n\n        count = 0\n        for i in range(len(word) - k + 1):\n            substring = word[i:i + k]\n            if is_complete_substring(substring):\n                count += 1\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        from collections import Counter\n\n        n = len(word)\n        count = 0\n        for i in range(n):\n            if k % 2 == 0 and word[i] in \"aoeui\":\n                continue\n            if k % 2 == 1 and word[i] not in \"aoeui\":\n                continue\n            j = i\n            temp = word[i]\n            count_temp = 1\n            while j + 1 < n and abs(ord(word[j + 1]) - ord(word[j])) <= 2:\n                if word[j + 1] == word[i]:\n                    count_temp += 1\n                j += 1\n            j = i\n            while j - 1 >= 0 and abs(ord(word[j - 1]) - ord(word[j])) <= 2:\n                if word[j - 1] == word[i]:\n                    count_temp += 1\n                j -= 1\n            if count_temp == k:\n                count += 1\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        from collections import Counter\n\n        n = len(word)\n        count = 0\n        for i in range(n):\n            if k % 2 == 0 and word[i] in \"qwertyuiop\":\n                continue\n            if k % 2 == 1 and word[i] not in \"qwertyuiop\":\n                continue\n            for j in range(i, n, k):\n                if Counter(word[i:j+1]).get(word[i], 0) != k // 2:\n                    break\n                if all(abs(ord(a) - ord(b)) <= 2 for a, b in zip(word[i:j+1], word[i+1:j+2])):\n                    count += 1\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        def is_complete_substring(s: str) -> bool:\n            char_count = {}\n            for c in s:\n                char_count[c] = char_count.get(c, 0) + 1\n            for count in char_count.values():\n                if count != k:\n                    return False\n            return True\n\n        count = 0\n        for i in range(k, len(word) + 1):\n            substring = word[:i]\n            if is_complete_substring(substring):\n                count += (i - k) // len(substring)\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        from collections import Counter\n\n        n = len(word)\n        count = 0\n        for i in range(n):\n            if k % 2 == 0 and word[i] in \"aoeui\":\n                continue\n            if k % 2 == 1 and word[i] not in \"aoeui\":\n                continue\n            j = i\n            temp = word[i]\n            count_temp = 1\n            while j + 1 < n and abs(ord(word[j + 1]) - ord(word[j])) <= 2:\n                if word[j + 1] == word[i]:\n                    count_temp += 1\n                elif count_temp == k:\n                    break\n                j += 1\n            if count_temp == k:\n                count += 1\n                i = j\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        from collections import Counter\n\n        count = Counter(word)\n        res = 0\n        for key, value in count.items():\n            if value % k == 0:\n                res += value // k\n            else:\n                return 0\n        n = len(word)\n        for i in range(n - 1):\n            if abs(ord(word[i]) - ord(word[i + 1])) > 2:\n                return 0\n        return res",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        def is_complete_substring(s):\n            letter_counts = {}\n            for letter in s:\n                letter_counts[letter] = letter_counts.get(letter, 0) + 1\n            for count in letter_counts.values():\n                if count != k:\n                    return False\n            return True\n\n        count = 0\n        for i in range(k, len(word) + 1):\n            if is_complete_substring(word[i - k:i]) and is_complete_substring(word[:i]):\n                count += 1\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        from collections import Counter\n\n        n = len(word)\n        count = 0\n        for i in range(n):\n            if k % 2 == 0 and word[i] in \"qwertyuiop\":\n                continue\n            if k % 2 == 1 and word[i] not in \"qwertyuiop\":\n                continue\n            j = i\n            temp = word[i]\n            c = 1\n            while j + 1 < n and abs(ord(word[j + 1]) - ord(word[j])) <= 2:\n                if c == k:\n                    break\n                temp += word[j + 1]\n                c += 1\n                j += 1\n            if c == k:\n                count += 1\n                i = j\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        from collections import Counter\n\n        n = len(word)\n        count = 0\n        for i in range(n):\n            if k % 2 == 0 and word[i] != word[i + k // 2]:\n                continue\n            flag = True\n            count_chars = Counter(word[i:i + k])\n            for char in count_chars:\n                if count_chars[char] != k // 2 * 2:\n                    flag = False\n                    break\n            if flag:\n                count += 1\n        return count",
                "class Solution:\n    def countCompleteSubstrings(self, word: str, k: int) -> int:\n        def is_complete_substring(s):\n            count = [0] * 26\n            for c in s:\n                count[ord(c) - ord('a')] += 1\n            for cnt in count:\n                if cnt != 0 and cnt != k:\n                    return False\n            return True\n\n        count = 0\n        n = len(word)\n        for i in range(n):\n            for j in range(i + 1, min(i + k, n) + 1):\n                if is_complete_substring(word[i:j]):\n                    count += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick = [0] + sick + [n]\n        ans = 1\n        for i in range(1, len(sick)):\n            ans = (ans * (sick[i] - sick[i - 1] - 1) % mod + ans) % mod\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick = [0] + sick + [n]\n        ans = 1\n        for i in range(1, len(sick)):\n            ans = (ans * (sick[i] - sick[i - 1] - 1) ** 2) % mod\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick = [0] + sick + [n]\n        ans = 1\n        for i in range(1, len(sick)):\n            ans = (ans * (sick[i] - sick[i - 1] - 1) * 2) % mod\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick_count = len(sick)\n        dp = [0] * sick_count\n        dp[0] = 1\n        for i in range(1, sick_count):\n            dp[i] = (dp[i - 1] * (i - 1) + dp[max(0, i - 2)] * (sick[i] - sick[i - 1] - 1)) % mod\n        return dp[-1]",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick = [0] + sick + [n]\n        ans = 1\n        for i in range(1, len(sick)):\n            ans = (ans * (sick[i] - sick[i - 1] - 1) * 2) % mod\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        MOD = 10**9 + 7\n        left, right = 0, 1\n        for i in range(1, len(sick)):\n            diff = sick[i] - sick[i - 1] - 1\n            left = (left * max(diff - 1, 0) + right) % MOD\n            right = (left + right) % MOD\n        return (left + right) % MOD",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick = [0] + sick + [n]\n        ans = 1\n        for i in range(1, len(sick)):\n            ans = (ans * (sick[i] - sick[i - 1] - 1) * 2) % mod\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        mod = 10**9 + 7\n        sick = [0] + sick + [n]\n        ans = 1\n        for i in range(1, len(sick)):\n            ans = (ans * (sick[i] - sick[i - 1] - 1) * 2) % mod\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        MOD = 10**9 + 7\n        sick_count = len(sick)\n        dp = [1] * sick_count\n        for i in range(1, sick_count):\n            dp[i] = (dp[i - 1] * (i + 1) // i) % MOD\n        for i in range(sick_count - 2, -1, -1):\n            dp[i] = (dp[i] + dp[i + 1]) % MOD\n        left_uninfected = [0] * sick_count\n        right_uninfected = [0] * sick_count\n        left_uninfected[0] = sick[0]\n        right_uninfected[-1] = n - 1 - sick[-1]\n        for i in range(1, sick_count):\n            left_uninfected[i] = sick[i] - sick[i - 1] - 1\n            right_uninfected[-i - 1] = sick[-1] - sick[i] - 1\n        ans = 1\n        for i in range(sick_count):\n            ans = (ans * (left_uninfected[i] + 1 + right_uninfected[i]) % MOD * dp[i]) % MOD\n        return ans",
                "class Solution:\n    def numberOfSequence(self, n: int, sick: List[int]) -> int:\n        MOD = 10**9 + 7\n        healthy_children = n - len(sick)\n        left_uninfected = [1] * n\n        right_uninfected = [1] * n\n\n        for idx in sick:\n            if idx > 0:\n                left_uninfected[idx - 1] = 0\n            if idx < n - 1:\n                right_uninfected[idx + 1] = 0\n\n        for i in range(1, n):\n            left_uninfected[i] += left_uninfected[i - 1]\n            right_uninfected[n - i - 1] += right_uninfected[n - i]\n\n        ans = 1\n        for i in range(1, healthy_children + 1):\n            ans = (ans * i) % MOD\n\n        for i in range(1, n):\n            if left_uninfected[i] and right_uninfected[i]:\n                ans = (ans * left_uninfected[i]) % MOD\n\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        j = 0\n\n        for i, num in enumerate(nums):\n            freq[num] = freq.get(num, 0) + 1\n\n            while freq[num] > k:\n                freq[nums[j]] -= 1\n                j += 1\n\n            max_length = max(max_length, i - j + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maxSubarrayLength(self, nums: List[int], k: int) -> int:\n        freq = {}\n        max_length = 0\n        left = 0\n\n        for right in range(len(nums)):\n            freq[nums[right]] = freq.get(nums[right], 0) + 1\n\n            while freq[nums[right]] > k:\n                freq[nums[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -2):\n            arr.append(nums[i - 1])\n            arr.append(nums[i])\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n            arr.append(nums.pop((i + 1) % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr",
                "class Solution:\n    def numberGame(self, nums: List[int]) -> List[int]:\n        arr = []\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            arr.append(nums.pop(i % 2))\n        return arr"
            ],
            "pass1_list": [
                true,
                false,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = (n * n + 1) * (n * n + 2) // 2\n        repeated = None\n        missing = None\n        for row in grid:\n            for num in row:\n                total_sum -= num\n                if total_sum == 0:\n                    missing = num\n                elif total_sum == num:\n                    repeated = num\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = (n * n + 1) * (n * n + 2) // 2\n        repeated = None\n        missing = None\n\n        for row in grid:\n            for num in row:\n                total_sum -= num\n                if total_sum == 0:\n                    missing = num\n                    break\n            if missing:\n                break\n\n        for i in range(n):\n            for j in range(n):\n                if grid[i][j] == missing:\n                    repeated = grid[i][j]\n                    break\n            if repeated:\n                break\n\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * n * (n * n + 1) // 2\n        repeated = None\n        missing = None\n        for row in grid:\n            for num in row:\n                total_sum -= num\n                if total_sum == 0:\n                    missing = num\n                elif total_sum == num:\n                    repeated = num\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * n * (n * n + 1) // 2\n        sum_of_grid = sum(sum(row) for row in grid)\n        repeated = sum(grid[i][i] for i in range(n)) - sum(grid[i][n - i - 1] for i in range(n))\n        return [repeated, total_sum - sum_of_grid + repeated]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * (n + 1) * (2 * n + 1) // 3\n        flat_grid = sum(sum(row) for row in grid)\n        repeated = sum(max(row) for row in grid)\n        missing = total_sum - flat_grid + repeated\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * n * (n * n + 1) // 2\n        sum_of_grid = sum(sum(row) for row in grid)\n        repeated = sum(row[i] * (i + 1) for i, row in enumerate(grid) for j in range(len(row))) // 2\n        missing = total_sum - sum_of_grid + repeated\n        repeated = (repeated - sum(grid[i][i] for i in range(n))) // 2\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * (n + 1) * (2 * n + 1) // 3\n        sum_of_squares = n * n * (n * n + 1) * (2 * n - 1) // 6\n        sum_in_grid = sum(sum(row) for row in grid)\n        missing_sum = total_sum - sum_in_grid\n        a_squared = sum_of_squares - sum(num ** 2 for row in grid for num in row)\n        a = int((-missing_sum + (missing_sum ** 2 - 4 * a_squared) ** 0.5) ** 0.5)\n        b = int((missing_sum + (missing_sum ** 2 - 4 * a_squared) ** 0.5) ** 0.5)\n        return [a, b]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * n * (n * n + 1) // 2\n        sum_of_grid = sum(sum(row) for row in grid)\n        repeated = sum(row[i] * (i + 1) for i, row in enumerate(grid) for j in range(len(row))) // 2\n        missing = total_sum - sum_of_grid + repeated\n        repeated = repeated - 1 * (n - 1) - missing * n\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = n * n * (n * n + 1) // 2\n        repeated = None\n        missing = None\n        for row in grid:\n            for num in row:\n                total_sum -= num\n                if total_sum == 0:\n                    missing = num\n                elif total_sum == num:\n                    repeated = num\n        return [repeated, missing]",
                "class Solution:\n    def findMissingAndRepeatedValues(self, grid: List[List[int]]) -> List[int]:\n        n = len(grid)\n        total_sum = (n * n + 1) * (n * n + 2) // 2\n        repeated = None\n        missing = None\n        for row in grid:\n            for num in row:\n                total_sum -= num\n                if total_sum == 0:\n                    missing = num\n                elif total_sum == num:\n                    repeated = num\n        return [repeated, missing]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n        \n        count_list = list(count_map.values())\n        count_list.sort(reverse=True)\n        \n        max_set_size = 0\n        for i in range(len(count_list) // 2):\n            max_set_size += min(count_list[i], count_list[-i-1])\n        \n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n        \n        max_set_size = 0\n        for count in count_map.values():\n            max_set_size = max(max_set_size, min(count, count - count % 2))\n        \n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        max_set_size = 0\n        for count in count_map.values():\n            max_set_size = max(max_set_size, min(count, nums1.count(count_map.get(count))), min(count, nums2.count(count_map.get(count))))\n\n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        max_set_size = 0\n        for count in count_map.values():\n            max_set_size = max(max_set_size, min(count, nums1.count(count_map.get(count, 0)) // 2), nums2.count(count_map.get(count, 0)) // 2)\n\n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map1 = {}\n        count_map2 = {}\n        for num in nums1:\n            count_map1[num] = count_map1.get(num, 0) + 1\n        for num in nums2:\n            count_map2[num] = count_map2.get(num, 0) + 1\n\n        max_set_size = 0\n        for num in count_map1.keys() | count_map2.keys():\n            count1 = count_map1.get(num, 0)\n            count2 = count_map2.get(num, 0)\n            max_set_size = max(max_set_size, min(count1, count2) // 2 * 4 + abs(count1 - count2))\n\n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n        \n        count_list = list(count_map.values())\n        count_list.sort(reverse=True)\n        return sum(min(count, 2) for count in count_list)",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n        \n        count_list = list(count_map.values())\n        count_list.sort(reverse=True)\n        \n        max_set_size = 0\n        for i in range(len(count_list) // 2):\n            max_set_size += min(count_list[i], count_list[-i-1])\n        \n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n\n        max_set_size = 0\n        for count in count_map.values():\n            max_set_size = max(max_set_size, min(count, count - count % 2))\n\n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map = {}\n        for num in nums1:\n            count_map[num] = count_map.get(num, 0) + 1\n        for num in nums2:\n            count_map[num] = count_map.get(num, 0) + 1\n        \n        count_list = list(count_map.values())\n        count_list.sort(reverse=True)\n        \n        max_set_size = 0\n        for i in range(len(count_list) // 2):\n            max_set_size += min(count_list[i], count_list[-i-1])\n        \n        return max_set_size",
                "class Solution:\n    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:\n        count_map1 = {}\n        count_map2 = {}\n        for num in nums1:\n            count_map1[num] = count_map1.get(num, 0) + 1\n        for num in nums2:\n            count_map2[num] = count_map2.get(num, 0) + 1\n        \n        common_elements = set(count_map1.keys()) & set(count_map2.keys())\n        \n        max_set_size = 0\n        for element in common_elements:\n            count1 = min(count_map1[element], len(nums1) // 2)\n            count2 = min(count_map2[element], len(nums2) // 2)\n            max_set_size = max(max_set_size, count1 + count2)\n        \n        return max_set_size"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        total_cost = 0\n        n = len(nums)\n\n        # Find the minimum and maximum values in the array\n        min_val = min(nums)\n        max_val = max(nums)\n\n        # Generate a list of palindromic numbers in the range [min_val, max_val]\n        palindromes = [num for num in range(min_val, max_val + 1) if is_palindrome(num)]\n\n        # If there are no palindromic numbers in the range, return -1\n        if not palindromes:\n            return -1\n\n        # Initialize the cost for each palindromic number to be the sum of absolute differences\n        costs = [sum(abs(num - p) for num in nums) for p in palindromes]\n\n        # Return the minimum cost\n        return min(costs)",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        cost = 0\n        for num in set(nums):\n            if is_palindrome(num):\n                temp_cost = 0\n                for n in nums:\n                    temp_cost += abs(n - num)\n                cost = min(cost, temp_cost)\n\n        return cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        cost = 0\n        for num in set(nums):\n            if is_palindrome(num):\n                diff = [abs(num - x) for x in nums]\n                cost += sum(diff)\n                break\n\n        return cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        cost = 0\n        for num in set(nums):\n            if is_palindrome(num):\n                diff = [abs(num - x) for x in nums]\n                cost += sum(diff)\n                break\n\n        return cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        total_cost = 0\n        min_num = min(nums)\n        max_num = max(nums)\n\n        palindromic_nums = [num for num in range(min_num, max_num + 1) if is_palindrome(num)]\n\n        if not palindromic_nums:\n            return sum(nums)\n\n        min_cost = float(\"inf\")\n        for pal_num in palindromic_nums:\n            cost = 0\n            for num in nums:\n                cost += abs(num - pal_num)\n            min_cost = min(min_cost, cost)\n\n        return min_cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        total_cost = 0\n        n = len(nums)\n\n        # Find the closest palindromic number less than 10^9\n        left, right = 1, int(1e9)\n        while left < right:\n            mid = left + (right - left) // 2\n            if is_palindrome(mid):\n                palindrome = mid\n                break\n            if is_palindrome(left):\n                palindrome = left\n                break\n            if is_palindrome(right):\n                palindrome = right\n                break\n            if mid % 10 * 10 + (mid % 10 + 1) < int(1e9):\n                right = mid % 10 * 10 + (mid % 10 + 1)\n            else:\n                left = mid + 1\n\n        # Calculate the total cost to change all elements to the found palindrome\n        for num in nums:\n            total_cost += abs(num - palindrome)\n\n        return total_cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        cost = 0\n        min_val = min(nums)\n        max_val = max(nums)\n        palindromes = set(i for i in range(min_val, max_val+1) if is_palindrome(i))\n\n        for pal in palindromes:\n            temp_cost = 0\n            for num in nums:\n                temp_cost += abs(num - pal)\n            cost = min(cost, temp_cost)\n\n        return cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        total_cost = 0\n        min_palindrome = 10**9\n        max_palindrome = 0\n\n        for num in nums:\n            min_palindrome = min(min_palindrome, num)\n            max_palindrome = max(max_palindrome, num)\n\n            while not is_palindrome(min_palindrome):\n                min_palindrome += 1\n            while not is_palindrome(max_palindrome):\n                max_palindrome -= 1\n\n        for num in nums:\n            total_cost += abs(num - min_palindrome)\n\n        return total_cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        cost = 0\n        for num in set(nums):\n            if is_palindrome(num):\n                diff = [abs(num - x) for x in nums]\n                cost += sum(diff)\n                break\n\n        return cost",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        def is_palindrome(n):\n            return str(n) == str(n)[::-1]\n\n        cost = 0\n        for num in set(nums):\n            if is_palindrome(num):\n                temp_cost = 0\n                for n in nums:\n                    temp_cost += abs(n - num)\n                cost = min(cost, temp_cost)\n\n        return cost"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        adjacent = {letter: alphabet[i - 1] + alphabet[i + 1] for i, letter in enumerate(alphabet)}\n        operations = 0\n        d = deque()\n\n        for letter in word:\n            while d and d[-1] in adjacent[letter]:\n                d.pop()\n                operations += 1\n            d.append(letter)\n\n        return operations + len(d) - 1",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        adjacent = {letter: alphabet[i - 1] + alphabet[i + 1] for i, letter in enumerate(alphabet)}\n\n        def is_almost_equal(a, b):\n            return a == b or b in adjacent[a]\n\n        q = deque()\n        visited = set()\n        operations = 0\n\n        for letter in word:\n            if letter not in visited:\n                while q and is_almost_equal(q[-1], letter):\n                    visited.remove(q.pop())\n                    operations += 1\n                q.append(letter)\n                visited.add(letter)\n\n        return operations",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        adj = {letter: [alphabet[i - 1], alphabet[i + 1]] for i, letter in enumerate(alphabet)}\n\n        def is_almost_equal(a, b):\n            return a == b or b in adj[a]\n\n        operations = 0\n        dq = deque()\n        visited = set()\n\n        for letter in word:\n            if letter not in visited:\n                while dq and is_almost_equal(dq[-1], letter):\n                    dq.pop()\n                    operations += 1\n                dq.append(letter)\n                visited.add(letter)\n\n        return operations",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        adjacent = {c: [c] + [alphabet[i] for i in range(26) if abs(ord(c) - ord(alphabet[i])) == 1] for c in alphabet}\n        cnt = [0] * 26\n        operations = 0\n\n        for c in word:\n            cnt[ord(c) - ord('a')] += 1\n\n        for i in range(26):\n            if cnt[i] > 1:\n                operations += cnt[i] - 1\n                cnt[i] = 1\n\n        for c in word:\n            for adj in adjacent[c]:\n                if cnt[ord(adj) - ord('a')] > 0:\n                    cnt[ord(adj) - ord('a')] -= 1\n                    break\n\n        return operations",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import Counter\n\n        count = Counter(word)\n        max_freq = max(count.values())\n        return len(word) - max_freq",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        adj = [[] for _ in range(26)]\n        for i in range(26):\n            for j in range(26):\n                if i == j or abs(i - j) == 1:\n                    adj[i].append(j)\n\n        seen = [False] * 26\n        q = deque()\n        for c in word:\n            i = ord(c) - ord('a')\n            if not seen[i]:\n                seen[i] = True\n                q.append(i)\n\n        res = 0\n        while q:\n            cur = q.popleft()\n            for next in adj[cur]:\n                seen[next] = False\n                q.append(next)\n            res += 1\n\n        return len(word) - res",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        alphabet = \"abcdefghijklmnopqrstuvwxyz\"\n        adjacent = {ch: alphabet[i - 1] + alphabet[i + 1] for i, ch in enumerate(alphabet)}\n\n        def is_almost_equal(a, b):\n            return a == b or b in adjacent[a]\n\n        q = deque()\n        visited = [False] * len(word)\n        operations = 0\n\n        for i, ch in enumerate(word):\n            if not visited[i]:\n                j = i\n                while j < len(word) and is_almost_equal(ch, word[j]):\n                    visited[j] = True\n                    j += 1\n                if len(q) > 0 and is_almost_equal(q[-1], ch):\n                    operations += 1\n                else:\n                    q.append(ch)\n\n        return len(word) - len(q) - operations",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import Counter\n\n        letter_counts = Counter(word)\n        max_letters = len(letter_counts)\n\n        def is_adjacent(char1, char2):\n            return abs(ord(char1) - ord(char2)) == 1\n\n        def backtrack(index, count, prev_char):\n            if count >= max_letters:\n                return\n\n            if index == len(word):\n                return backtrack(index=0, count=count + 1, prev_char=None)\n\n            for char in \"abcdefghijklmnopqrstuvwxyz\":\n                if letter_counts[char] > 0 and (char != prev_char and not is_adjacent(char, prev_char)):\n                    letter_counts[char] -= 1\n                    backtrack(index + 1, count, char)\n                    letter_counts[char] += 1\n\n        backtrack(index=0, count=0, prev_char=None)\n        return max_letters - letter_counts[prev_char]",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import Counter\n\n        count = Counter(word)\n        max_freq = max(count.values())\n        return len(word) - max_freq",
                "class Solution:\n    def removeAlmostEqualCharacters(self, word: str) -> int:\n        from collections import deque\n\n        alphabet = [chr(i) for i in range(ord('a'), ord('z') + 1)]\n        adj_chars = {char: [alphabet[i - 1], alphabet[i + 1]] for i, char in enumerate(alphabet)}\n\n        char_counts = [0] * 26\n        for char in word:\n            char_counts[ord(char) - ord('a')] += 1\n\n        q = deque()\n        for i, count in enumerate(char_counts):\n            if count > 0:\n                q.append(i)\n\n        operations = 0\n        while q:\n            char = chr(ord('a') + q.popleft())\n            if not char_counts[ord(char) - ord('a')]:\n                continue\n            char_counts[ord(char) - ord('a')] -= 1\n\n            for adj_char in adj_chars[char]:\n                if char_counts[ord(adj_char) - ord('a')] > 0:\n                    char_counts[ord(adj_char) - ord('a')] -= 1\n                    q.append(ord(adj_char) - ord('a'))\n                    operations += 1\n\n        return operations"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] * (target + 1)\n        dp[0] = 0\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        for i in range(1, target + 1):\n            if dp[i] == 0:\n                dp[i] = 1\n                for coin in coins:\n                    if coin <= i and dp[i - coin] == 1:\n                        dp[i] = 0\n                        break\n        res = 0\n        for i in range(1, target + 1):\n            if dp[i] == 0:\n                res += 1\n                dp[i] = 1\n                for coin in coins:\n                    if coin <= i and dp[i - coin] == 1:\n                        dp[i] = 0\n                        break\n        return res",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1e9] * (target + 1)\n        dp[0] = 0\n\n        for coin in coins:\n            dp[coin] = 1\n\n        for i in range(1, target + 1):\n            if dp[i] == 1e9:\n                dp[i] = 1e9 - 1\n                for j in range(1, target // i + 1):\n                    dp[i] = min(dp[i], dp[i - j * i] + 1)\n\n        res = 0\n        for i in range(1, target + 1):\n            res += dp[i]\n\n        return res",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        coins.sort()\n        dp = [1e9] * (target + 1)\n        dp[0] = 0\n\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = min(dp[i], dp[i - coin] + 1)\n\n        ans = 0\n        for i in range(1, target + 1):\n            ans += dp[i]\n\n        return ans - target",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] + [0] * target\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        return target - sum(dp)",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] + [0] * target\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        return target - sum(dp)",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] + [0] * target\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        return target - sum(dp)",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] + [0] * target\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        return target - sum(dp)",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] * (target + 1)\n        dp[0] = 0\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        for i in range(1, target + 1):\n            if dp[i] == 0:\n                dp[i] = 1\n                for coin in coins:\n                    if coin <= i and dp[i - coin] == 1:\n                        dp[i] = 0\n                        break\n        ans = 0\n        for i in range(1, target + 1):\n            if dp[i] == 0:\n                ans += 1\n                dp[i] = 1\n        return ans",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] * (target + 1)\n        dp[0] = 0\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        for i in range(1, target + 1):\n            if dp[i] == 0:\n                dp[i] = 1\n                for coin in coins:\n                    if coin <= i and dp[i - coin] == 1:\n                        dp[i] = 0\n                        break\n        ans = 0\n        for i in range(1, target + 1):\n            if dp[i] == 0:\n                ans += 1\n                dp[i] = 1\n        return ans",
                "class Solution:\n    def minimumAddedCoins(self, coins: List[int], target: int) -> int:\n        dp = [1] + [0] * target\n        for coin in coins:\n            for i in range(coin, target + 1):\n                dp[i] = 1\n        return target - sum(dp) + 1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def count_distinct(s):\n            return len(set(s))\n\n        def max_partitions(s):\n            prefix = \"\"\n            partitions = 0\n            while s:\n                prefix = s[: prefix.rfind(s[0]) + 1] if prefix and prefix[-1] != s[0] else prefix + s[0]\n                partitions += 1\n                s = s[len(prefix):]\n            return partitions\n\n        best = max_partitions(s)\n        for i, c in enumerate(s):\n            for new_c in range(ord('a'), ord('z') + 1):\n                if chr(new_c) not in s or i == ord(chr(new_c)) - ord('a'):\n                    continue\n                new_s = list(s)\n                new_s[i] = chr(new_c)\n                new_s = \"\".join(new_s)\n                if count_distinct(new_s[:i + 1]) <= k:\n                    best = max(best, max_partitions(new_s))\n        return best",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def check(s, k):\n            count = {}\n            for c in s:\n                count[c] = count.get(c, 0) + 1\n                if len(count) > k:\n                    break\n            else:\n                return True\n            return False\n\n        n = len(s)\n        ans = 1\n\n        for i in range(n):\n            for j in range(97, 123):\n                new_s = list(s)\n                new_s[i] = chr(j)\n                new_s = ''.join(new_s)\n                if check(new_s, k):\n                    ans = max(ans, n - i + 1)\n                    break\n\n        return ans",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def check(s, k):\n            count = {}\n            for c in s:\n                count[c] = count.get(c, 0) + 1\n                if len(count) > k:\n                    break\n            else:\n                return True\n            return False\n\n        n = len(s)\n        ans = 1\n        for i in range(n):\n            for j in range(97, 123):\n                new_s = list(s)\n                new_s[i] = chr(j)\n                new_s = ''.join(new_s)\n                if check(new_s, k):\n                    ans = max(ans, n - i + 1)\n                    break\n        return ans",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def check(s, k):\n            seen = set()\n            for c in s:\n                if len(seen) == k:\n                    break\n                if c not in seen:\n                    seen.add(c)\n            return len(seen) <= k\n\n        n = len(s)\n        ans = 1\n        for i in range(n):\n            for j in range(97, 123):\n                new_s = list(s)\n                new_s[i] = chr(j)\n                new_s = \"\".join(new_s)\n                if check(new_s, k):\n                    ans = max(ans, n - i - check(new_s[i + 1:], k) + 1)\n        return ans",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        n = len(s)\n        if n <= k:\n            return 1\n\n        def check(s, k):\n            seen = set()\n            for c in s:\n                seen.add(c)\n                if len(seen) > k:\n                    return False\n            return True\n\n        ans = 1\n        for i in range(n):\n            for j in range(97, 123):\n                new_s = list(s)\n                new_s[i] = chr(j)\n                new_s = ''.join(new_s)\n                if check(new_s[:i+1], k) and check(new_s[i+1:], k):\n                    ans = max(ans, 2 + self.maxPartitionsAfterOperations(new_s[i+1:], k))\n\n        return ans",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def count_partitions(s: str, k: int) -> int:\n            unique_chars = set()\n            prefix_length = 0\n            for c in s:\n                if len(unique_chars) < k:\n                    unique_chars.add(c)\n                    prefix_length += 1\n                else:\n                    break\n            return prefix_length\n\n        n = len(s)\n        ans = count_partitions(s, k)\n        for i in range(n):\n            for j in range(ord('a'), ord('z') + 1):\n                new_s = s[:i] + chr(j) + s[i + 1:]\n                ans = max(ans, count_partitions(new_s, k) + count_partitions(new_s[count_partitions(new_s, k):], k))\n\n        return ans // (k + 1) + 1",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def count_distinct(s):\n            return len(set(s))\n\n        def max_partitions(s):\n            prefix = \"\"\n            partitions = 0\n            while s:\n                prefix = s\n                for i in range(1, len(s) + 1):\n                    if count_distinct(prefix[:i]) <= k:\n                        prefix = prefix[:i]\n                s = s[len(prefix):]\n                partitions += 1\n            return partitions\n\n        best = max_partitions(s)\n        for i in range(len(s)):\n            for j in range(ord('a'), ord('z') + 1):\n                new_s = s[:i] + chr(j) + s[i + 1:]\n                best = max(best, max_partitions(new_s))\n        return best",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def check(s, k):\n            seen = set()\n            for c in s:\n                if len(seen) == k:\n                    break\n                seen.add(c)\n            return len(seen) <= k\n\n        n = len(s)\n        ans = 1\n        for i in range(n):\n            for j in range(ord('a'), ord('z') + 1):\n                news = s[:i] + chr(j) + s[i + 1:]\n                if check(news, k):\n                    ans = max(ans, len(news) - len(news.replace('', '')))\n        return ans",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def check(s, k):\n            count = {}\n            for c in s:\n                count[c] = count.get(c, 0) + 1\n                if len(count) > k:\n                    break\n            else:\n                return True\n            return False\n\n        n = len(s)\n        ans = 1\n        for i in range(n):\n            for j in range(97, 123):\n                new_s = list(s)\n                new_s[i] = chr(j)\n                new_s = ''.join(new_s)\n                if check(new_s, k):\n                    ans = max(ans, len(new_s) - len(new_s.lstrip('abcdefghijklmnopqrstuvwxyz'[:k])) + 1)\n        return ans",
                "class Solution:\n    def maxPartitionsAfterOperations(self, s: str, k: int) -> int:\n        def count_partitions(s: str, k: int) -> int:\n            unique_chars = set()\n            partitions = 0\n            for c in s:\n                if len(unique_chars) == k:\n                    partitions += 1\n                    unique_chars = set()\n                unique_chars.add(c)\n            return partitions + 1\n\n        n = len(s)\n        ans = count_partitions(s, k)\n\n        for i in range(n):\n            for j in range(ord('a'), ord('z') + 1):\n                new_s = s[:i] + chr(j) + s[i + 1:]\n                ans = max(ans, count_partitions(new_s, k))\n\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i in range(len(variables)):\n            a, b, c, m = variables[i]\n            if pow((a ** b % 10), c, m) == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i in range(len(variables)):\n            a, b, c, m = variables[i]\n            if pow((a ** b % 10), c, m) == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i, [a, b, c, m] in enumerate(variables):\n            temp = (a ** b % 10) ** c % m\n            if temp == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i, [a, b, c, m] in enumerate(variables):\n            temp = (a ** b % 10) ** c % m\n            if temp == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i in range(len(variables)):\n            a, b, c, m = variables[i]\n            if pow((a ** b) % 10, c) % m == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i in range(len(variables)):\n            a, b, c, m = variables[i]\n            if pow((a ** b) % 10, c) % m == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i, [a, b, c, m] in enumerate(variables):\n            temp = (a ** b % 10) ** c % m\n            if temp == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i in range(len(variables)):\n            a, b, c, m = variables[i]\n            if pow((a ** b) % 10, c) % m == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i in range(len(variables)):\n            a, b, c, m = variables[i]\n            if pow((a ** b % 10), c, m) == target:\n                good_indices.append(i)\n        return good_indices",
                "class Solution:\n    def getGoodIndices(self, variables: List[List[int]], target: int) -> List[int]:\n        good_indices = []\n        for i, [a, b, c, m] in enumerate(variables):\n            temp = (a ** b % 10) ** c % m\n            if temp == target:\n                good_indices.append(i)\n        return good_indices"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: list[str], changed: list[str], cost: list[int]) -> int:\n        memo = {}\n        for i in range(len(original)):\n            key = (original[i], changed[i])\n            if key not in memo:\n                memo[key] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    dp_tmp = dp[j] + memo.get((target[j], source[j]), float('inf'))\n                    dp[j + 1] = min(dp[j + 1], dp_tmp)\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        operations = {}\n        for i in range(len(original)):\n            if cost[i] not in operations or operations[cost[i]][0] == original[i] and operations[cost[i]][1] == changed[i]:\n                operations[cost[i]] = (original[i], changed[i])\n\n        memo = {}\n        def dfs(index, current_cost):\n            if index == len(source):\n                return 0 if current_cost == 0 else -1\n            if (index, current_cost) in memo:\n                return memo[(index, current_cost)]\n\n            result = -1\n            for op_cost, (op_original, op_changed) in operations.items():\n                if source[index] == op_original and target[index] == op_changed:\n                    temp_cost = op_cost + current_cost\n                    res = dfs(index + 1, temp_cost)\n                    if res != -1:\n                        result = max(result, res)\n                elif source[index] == op_original:\n                    temp_cost = op_cost + current_cost\n                    res = dfs(index, temp_cost)\n                    if res != -1:\n                        result = max(result, res)\n\n            memo[(index, current_cost)] = result\n            return result\n\n        return dfs(0, 0)",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        mapping = {}\n        for i in range(len(original)):\n            if original[i] not in mapping:\n                mapping[original[i]] = {}\n            if changed[i] not in mapping[original[i]]:\n                mapping[original[i]][changed[i]] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if target[j] in mapping[source[j]]:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + mapping[source[j]][target[j]])\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        memo = {}\n        for i in range(len(original)):\n            key = (original[i], changed[i])\n            if key not in memo:\n                memo[key] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    dp_cost = float('inf')\n                    for k in range(len(original)):\n                        if original[k] == source[j] and changed[k] == target[j]:\n                            dp_cost = min(dp_cost, memo[key])\n\n                    dp[j + 1] = min(dp[j + 1], dp[j] + dp_cost)\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: list[str], changed: list[str], cost: list[int]) -> int:\n        cost_map = {}\n        for i in range(len(original)):\n            if (original[i], changed[i]) not in cost_map:\n                cost_map[(original[i], changed[i])] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + cost_map.get((target[j], source[j]), float('inf')))\n\n        return dp[len(source)] if dp[len(source)] != float('inf') else -1",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        graph = {}\n        for i in range(len(original)):\n            if original[i] not in graph:\n                graph[original[i]] = {}\n            if changed[i] not in graph[original[i]]:\n                graph[original[i]][changed[i]] = cost[i]\n\n        memo = {}\n\n        def dfs(node, target):\n            if node == target:\n                return 0\n            if node not in memo:\n                memo[node] = float(\"inf\")\n                for neighbor, weight in graph[node].items():\n                    res = dfs(neighbor, target)\n                    if res != float(\"inf\"):\n                        memo[node] = min(memo[node], res + weight)\n                memo[node] = -1 if memo[node] == float(\"inf\") else memo[node]\n            return memo[node]\n\n        res = 0\n        for i in range(len(source)):\n            temp_res = dfs(source[i], target[i])\n            if temp_res == -1:\n                return -1\n            res += temp_res\n        return res",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        graph = {}\n        for i in range(len(original)):\n            if changed[i] not in graph:\n                graph[changed[i]] = {}\n            if original[i] not in graph[changed[i]]:\n                graph[changed[i]][original[i]] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    if target[j] in graph:\n                        for k in graph[target[j]]:\n                            dp[j + 1] = min(dp[j + 1], dp[j] + graph[target[j]][k])\n                    else:\n                        dp[j + 1] = float('inf')\n                else:\n                    dp[j + 1] = dp[j]\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        mapping = {}\n        for i in range(len(original)):\n            if (original[i], changed[i]) in mapping:\n                mapping[(original[i], changed[i])].append(cost[i])\n            else:\n                mapping[(original[i], changed[i])] = [cost[i]]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    if (target[j], source[j]) in mapping:\n                        for c in mapping[(target[j], source[j])]:\n                            dp[j + 1] = min(dp[j + 1], dp[j] + c)\n                    else:\n                        return -1\n                else:\n                    dp[j + 1] = dp[j]\n\n        return dp[len(source)]",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        memo = {}\n        for i in range(len(original)):\n            if original[i] not in memo:\n                memo[original[i]] = {}\n            if changed[i] not in memo[original[i]]:\n                memo[original[i]][changed[i]] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    if target[j] not in memo[source[j]]:\n                        dp[j + 1] = float('inf')\n                        continue\n                    dp[j + 1] = min(dp[j + 1], dp[j] + memo[source[j]][target[j]])\n\n        return -1 if dp[-1] == float('inf') else dp[-1]",
                "class Solution:\n    def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n        mapping = {}\n        for i in range(len(original)):\n            if (original[i], changed[i]) not in mapping:\n                mapping[(original[i], changed[i])] = cost[i]\n\n        dp = [float('inf')] * (len(source) + 1)\n        dp[0] = 0\n\n        for i in range(len(source)):\n            for j in range(i, -1, -1):\n                if source[j] != target[j]:\n                    if (target[j], source[j]) in mapping:\n                        dp[i + 1] = min(dp[i + 1], dp[j] + mapping[(target[j], source[j])])\n                else:\n                    dp[i + 1] = min(dp[i + 1], dp[j])\n\n        return -1 if dp[-1] == float('inf') else dp[-1]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                i += 2\n        longest_prefix_sum += nums[i]\n\n        x = longest_prefix_sum + 1\n        while x in nums:\n            x += 1\n\n        return x",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = nums[0]\n        current_sum = nums[0]\n\n        for i in range(1, len(nums)):\n            if nums[i] == nums[i - 1] + 1:\n                current_sum += nums[i]\n            else:\n                if current_sum > longest_prefix_sum:\n                    longest_prefix_sum = current_sum\n                current_sum = nums[i]\n\n        if current_sum > longest_prefix_sum:\n            longest_prefix_sum = current_sum\n\n        for i in range(longest_prefix_sum + 1, 51):\n            if i not in nums:\n                return i",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                i += 1\n            if longest_prefix_sum + 1 == nums[i]:\n                longest_prefix_sum += 1\n                i += 1\n            else:\n                break\n        return longest_prefix_sum + 1",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                i += 1\n            if longest_prefix_sum + 1 == nums[i]:\n                longest_prefix_sum += 1\n                i += 1\n            else:\n                break\n        return longest_prefix_sum + 1",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i + 1]\n                i += 1\n            i += 1\n\n        x = longest_prefix_sum + 1\n        while x <= sum(nums) + len(nums):\n            if x not in nums:\n                return x\n            x += 1\n        return x",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                break\n        longest_prefix_sum += nums[i]\n\n        x = longest_prefix_sum + 1\n        while x <= sum(nums) + len(nums):\n            if x not in nums:\n                return x\n            x += 1",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                i += 1\n            if longest_prefix_sum + 1 == nums[i]:\n                longest_prefix_sum += 1\n                i += 1\n            else:\n                break\n        return longest_prefix_sum + 1",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1 and nums[i] + 1 == nums[i + 1]:\n            longest_prefix_sum += nums[i]\n            i += 1\n        longest_prefix_sum += nums[i]\n\n        x = longest_prefix_sum + 1\n        while i < len(nums) and nums[i] <= x:\n            if nums[i] != x:\n                return x\n            x += 1\n            i += 1\n\n        return x",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                i += 1\n            if longest_prefix_sum + 1 == nums[i]:\n                longest_prefix_sum += 1\n                i += 1\n            else:\n                break\n        return longest_prefix_sum + 1",
                "class Solution:\n    def missingInteger(self, nums: List[int]) -> int:\n        nums.sort()\n        longest_prefix_sum = 0\n        i = 0\n        while i < len(nums) - 1:\n            if nums[i] + 1 == nums[i + 1]:\n                longest_prefix_sum += nums[i]\n                i += 1\n            else:\n                break\n        longest_prefix_sum += nums[i]\n\n        x = longest_prefix_sum + 1\n        while x in nums:\n            x += 1\n\n        return x"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            cnt = 0\n            while n % 5 == 0:\n                cnt += 1\n                n //= 5\n            while n % 11 == 0:\n                cnt += 1\n                n //= 11\n            return cnt + abs(1 - n)\n\n        return operations(x - y) + abs(x - y)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            cnt = 0\n            while n % 5 == 0:\n                cnt += 1\n                n //= 5\n            while n % 11 == 0:\n                cnt += 1\n                n //= 11\n            return cnt + abs(1 - n)\n\n        return abs(x - y) + operations(x) + operations(y)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            cnt = 0\n            while n % 5 == 0:\n                cnt += 1\n                n //= 5\n            while n % 11 == 0:\n                cnt += 1\n                n //= 11\n            return cnt + abs(1 - n)\n\n        return operations(x - y)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            cnt = 0\n            while n % 5 == 0:\n                cnt += 1\n                n //= 5\n            while n % 11 == 0:\n                cnt += 1\n                n //= 11\n            return cnt + abs(1 - n)\n\n        return operations(x - y)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            count = 0\n            while n % 5 == 0:\n                count += 1\n                n //= 5\n            while n % 11 == 0:\n                count += 1\n                n //= 11\n            return count + abs(1 - n)\n\n        return operations(x) + operations(y - x)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            cnt = 0\n            while n % 5 == 0:\n                cnt += 1\n                n //= 5\n            while n % 11 == 0:\n                cnt += 1\n                n //= 11\n            return cnt + abs(1 - n)\n\n        return operations(x - y)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            count = 0\n            while n > 0:\n                if n % 11 == 0:\n                    count += n // 11\n                    n //= 11\n                elif n % 5 == 0:\n                    count += n // 5\n                    n //= 5\n                elif n == 1:\n                    count += 1\n                    break\n                else:\n                    count += 1\n                    n -= 1\n            return count\n\n        return abs(operations(x) - operations(y))",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            count = 0\n            while n > 1:\n                if n % 11 == 0:\n                    count += n // 11\n                    n //= 11\n                elif n % 5 == 0:\n                    count += n // 5\n                    n //= 5\n                else:\n                    count += abs(5 - n)\n                    n = 5\n            return count\n\n        return abs(operations(x) - operations(y))",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            count = 0\n            while n % 5 == 0:\n                count += 1\n                n //= 5\n            while n % 11 == 0:\n                count += 1\n                n //= 11\n            return count + abs(1 - n)\n\n        return operations(x - y)",
                "class Solution:\n    def minimumOperationsToMakeEqual(self, x: int, y: int) -> int:\n        def operations(n):\n            count = 0\n            while n % 5 == 0:\n                count += 1\n                n //= 5\n            while n % 11 == 0:\n                count += 1\n                n //= 11\n            return count + abs(1 - n)\n\n        return operations(x - y)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]  # Remove the '0b' prefix\n            price = 0\n            for i, bit in enumerate(binary_str, 1):\n                if int(bit) and (i % x == 0):\n                    price += 1\n            return price\n\n        def upper_bound(nums, target):\n            left, right = 0, len(nums)\n            while left < right:\n                mid = (left + right) // 2\n                if nums[mid] > target:\n                    right = mid\n                else:\n                    left = mid + 1\n            return left\n\n        nums = [get_price(i, x) for i in range(1, 60)]\n        total_sum = sum(nums)\n        if k >= total_sum:\n            return 2**60 - 1\n\n        nums = nums[::-1]\n        k = total_sum - k - 1\n        idx = upper_bound(nums, k)\n        return (2 ** (idx + 1)) - 1",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]\n            price = 0\n            for i, bit in enumerate(reversed(binary_str), 1):\n                if int(bit) and (i % x == 0):\n                    price += 1\n            return price\n\n        prices = [get_price(i, x) for i in range(1, 60)]\n        total_sum = sum(prices)\n        if total_sum <= k:\n            return 63\n\n        left, right = 0, 59\n        while left < right:\n            mid = (left + right) // 2\n            current_sum = sum(prices[:mid]) + sum(prices[mid + x - 1 :: x])\n            if current_sum > k:\n                left = mid + 1\n            else:\n                right = mid\n\n        return left",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]  # Remove the '0b' prefix\n            return sum(int(binary_str[i]) for i in range(len(binary_str)) if i % x == 0)\n\n        def upper_bound(nums, target):\n            left, right = 0, len(nums)\n            while left < right:\n                mid = (left + right) // 2\n                if nums[mid] > target:\n                    right = mid\n                else:\n                    left = mid + 1\n            return left\n\n        nums = [get_price(i, x) for i in range(1, 1000001)]\n        total_sum = sum(nums)\n        if k >= total_sum:\n            return 1000000\n\n        # Perform binary search to find the maximum number with sum <= k\n        left, right = 0, len(nums)\n        while left < right:\n            mid = (left + right) // 2\n            if sum(nums[:mid]) > k:\n                left = mid + 1\n            else:\n                right = mid\n\n        return upper_bound(nums, k)",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]\n            price = 0\n            for i, bit in enumerate(reversed(binary_str), 1):\n                if int(bit) and (i % x == 0):\n                    price += 1\n            return price\n\n        prices = [get_price(i, x) for i in range(1, 60)]\n        total_sum = sum(prices)\n        if k >= total_sum:\n            return 60\n\n        left, right = 0, 50\n        while left < right:\n            mid = (left + right) // 2\n            current_sum = sum(prices[:mid])\n            if current_sum <= k:\n                left = mid + 1\n            else:\n                right = mid\n\n        return left - 1",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]  # Get the binary representation of num without the '0b' prefix\n            price = 0\n            for i, bit in enumerate(binary_str, 1):  # Start enumeration from 1\n                if int(bit) and (i % x == 0):\n                    price += 1\n            return price\n\n        def search(low: int, high: int) -> int:\n            if low == high:\n                return low\n            mid = (low + high) // 2\n            sum_prices = sum(get_price(num, x) for num in range(1, mid + 1))\n            if sum_prices > k:\n                return search(low, mid - 1)\n            return search(mid, high)\n\n        return search(1, 10**15)",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]  # Get the binary representation of 'num' without the '0b' prefix\n            price = 0\n            for i, bit in enumerate(reversed(binary_str), 1):\n                if int(bit) and (i % x == 0):\n                    price += 1\n            return price\n\n        def search(left: int, right: int) -> int:\n            if left == right:\n                return left\n            mid = (left + right) // 2\n            sum_prices = sum(get_price(i, x) for i in range(left, mid + 1))\n            if sum_prices > k:\n                return search(left, mid)\n            return search(mid + 1, right)\n\n        return search(1, 1 << 63)",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]  # Remove the '0b' prefix\n            return sum(int(binary_str[i]) for i in range(len(binary_str)) if i % x == 0)\n\n        def upper_bound(nums, target):\n            left, right = 0, len(nums)\n            while left < right:\n                mid = (left + right) // 2\n                if nums[mid] > target:\n                    right = mid\n                else:\n                    left = mid + 1\n            return left\n\n        nums = [get_price(i, x) for i in range(1, 60)]\n        return upper_bound(nums, k)",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num, x):\n            s = bin(num)[2:]\n            return sum(int(s[-(i+1)]) for i in range(len(s)) if i % x == 0)\n        \n        prices = [get_price(i, x) for i in range(1, 60)]\n        total_sum = sum(prices)\n        if k >= total_sum:\n            return 2**60 - 1\n        \n        left, right = 0, 59\n        while left < right:\n            mid = (left + right + 1) // 2\n            if sum(prices[:mid]) > k:\n                right = mid - 1\n            else:\n                left = mid\n        \n        return 2**left - 1",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]  # Remove the '0b' prefix\n            return sum(int(binary_str[i]) for i in range(len(binary_str)) if i % x == 0)\n\n        num_prices = [get_price(i, x) for i in range(1, 60)]\n        prefix_sum = [0] * 60\n        for i in range(1, 60):\n            prefix_sum[i] = prefix_sum[i - 1] + num_prices[i - 1]\n\n        left, right = 0, 60\n        while left < right:\n            mid = (left + right) // 2\n            if prefix_sum[mid] > k:\n                right = mid\n            else:\n                left = mid + 1\n\n        return left - 1",
                "class Solution:\n    def findMaximumNumber(self, k: int, x: int) -> int:\n        def get_price(num: int, x: int) -> int:\n            binary_str = bin(num)[2:]\n            count = 0\n            for i, bit in enumerate(reversed(binary_str), 1):\n                if int(bit) and (i % x == 0):\n                    count += 1\n            return count\n\n        prices = [get_price(i, x) for i in range(1, 60)]\n        total_sum = sum(prices)\n        if k >= total_sum:\n            return 63\n\n        low, high = 0, 59\n        while low < high:\n            mid = (low + high) // 2\n            current_sum = sum(prices[:mid]) + sum(i // x for i in prices[mid:])\n            if current_sum <= k:\n                low = mid + 1\n            else:\n                high = mid\n\n        return low"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        count_dict = {}\n        for num in nums:\n            if num in count_dict:\n                count_dict[num] += 1\n            else:\n                count_dict[num] = 1\n        \n        max_frequency = max(count_dict.values())\n        \n        return sum(1 for freq in count_dict.values() if freq == max_frequency)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for v in count.values() if v == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)",
                "class Solution:\n    def maxFrequencyElements(self, nums: List[int]) -> int:\n        from collections import Counter\n\n        count = Counter(nums)\n        max_freq = max(count.values())\n        return sum(1 for freq in count.values() if freq == max_freq)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_len = len(s)\n        s_int = int(s)\n\n        for i in range(max(1, limit + 1 - s_len), limit + 1):\n            prefix = str(i)\n            for j in range(i + 1):\n                candidate = prefix + \"0\" * (s_len - 1) + str(j)\n                candidate_int = int(candidate)\n                if candidate_int >= s_int:\n                    if start <= candidate_int <= finish:\n                        count += 1\n                    break\n\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_len = len(s)\n        s_int = int(s)\n\n        for i in range(max(s_len, len(str(finish)))):\n            for j in range(10):\n                if j <= limit:\n                    current_num = str(j) * (i + 1 - s_len) + s\n                    current_int = int(current_num)\n                    if current_int >= start and current_int <= finish:\n                        count += 1\n                else:\n                    break\n\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_length = len(s)\n        s_int = int(s)\n\n        for i in range(max(1, start // s_int * s_int), finish // s_int * s_int + 1, s_int):\n            powerful = True\n            num_str = str(i)\n            for j in range(s_length):\n                if int(num_str[-j - 1]) > limit:\n                    powerful = False\n                    break\n\n            if powerful:\n                count += 1\n\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_length = len(s)\n        s_int = int(s)\n\n        for i in range(max(1, limit + 1 - s_int // 10), limit + 1):\n            prefix = str(i)\n            for j in range(i + 1):\n                candidate = int(prefix + s)\n                if start <= candidate <= finish:\n                    count += 1\n\n            for k in range(s_length - 1):\n                prefix += str(limit)\n                for j in range(i):\n                    candidate = int(prefix + s)\n                    if start <= candidate <= finish:\n                        count += 1\n\n                prefix = prefix[:-1]\n\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_len = len(s)\n        s_int = int(s)\n\n        for i in range(max(1, limit + 1 - s_len), limit + 1):\n            prefix = str(i)\n            for j in range(i + 1):\n                candidate = int(prefix + s)\n                if start <= candidate <= finish:\n                    count += 1\n                if int(str(j) + s) < s_int:\n                    break\n            if int(prefix + '9' * (s_len - 1)) < s_int:\n                break\n\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_len = len(s)\n        s_int = int(s)\n        for i in range(max(1, start // s_int), (finish + s_int - 1) // s_int + 1):\n            powerful_int = i * s_int\n            powerful_str = str(powerful_int)\n            if len(powerful_str) != len(s):\n                continue\n            is_powerful = all(map(lambda x, y: x <= limit and x == y, map(int, powerful_str[-s_len:]), map(int, s)))\n            if is_powerful:\n                count += 1\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        def is_powerful(num: int) -> bool:\n            str_num = str(num)\n            return str_num.endswith(s) and all(map(lambda x: x <= limit, str_num))\n\n        return sum(map(is_powerful, range(start, finish + 1)))",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        def is_powerful(num: int) -> bool:\n            num_str = str(num)\n            return num_str.endswith(s) and all(map(lambda x: x <= limit, num_str))\n        \n        count = 0\n        for i in range(start, finish + 1):\n            if is_powerful(i):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_len = len(s)\n        s_int = int(s)\n        for i in range(max(1, start // s_int), finish // s_int + 1):\n            powerful_int = str(i * s_int)\n            if powerful_int.endswith(s) and all(map(lambda x: x <= str(limit), powerful_int)):\n                count += 1\n        return count",
                "class Solution:\n    def numberOfPowerfulInt(self, start: int, finish: int, limit: int, s: str) -> int:\n        count = 0\n        s_length = len(s)\n        s_int = int(s)\n        for i in range(max(1, start // s_int * s_int), finish // s_int * s_int + 1, s_int):\n            powerful = True\n            num_str = str(i)\n            for j in range(s_length):\n                if int(num_str[-j - 1]) > limit:\n                    powerful = False\n                    break\n            if powerful and start <= i <= finish:\n                count += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        n = len(nums)\n        if n == 1:\n            return 1\n\n        g = nums[0]\n        for num in nums[1:]:\n            g = gcd(g, num)\n\n        return 1 if g == 1 else 2",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(x, y):\n            while y:\n                x, y = y, x % y\n            return x\n\n        def lcm(x, y):\n            return x * y // gcd(x, y)\n\n        nums.sort()\n        result = 1\n        for i in range(1, len(nums)):\n            result = lcm(result, nums[i] // gcd(nums[i], nums[i - 1]))\n\n        return result",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        n = len(nums)\n        if n == 1:\n            return 1\n\n        g = nums[0]\n        for num in nums[1:]:\n            g = gcd(g, num)\n\n        return 1 if g == 1 else 2",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def lcm(a, b):\n            return a * b // gcd(a, b)\n\n        nums.sort()\n        l = 0\n        for i in range(len(nums) - 1, 0, -1):\n            l = lcm(l, nums[i])\n            if l == 1:\n                break\n\n        return len(nums) if l == 1 else 2",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        n = len(nums)\n        if n == 1:\n            return 1\n\n        g = nums[0]\n        for num in nums[1:]:\n            g = gcd(g, num)\n\n        return 1 if g == 1 else 2",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        gcd = nums[0]\n        for num in nums[1:]:\n            gcd = self.gcd(gcd, num)\n        return 1 if gcd == 1 else 2\n\n    def gcd(self, a, b):\n        while b:\n            a, b = b, a % b\n        return a",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def lcm(a, b):\n            return a * b // gcd(a, b)\n\n        nums.sort()\n        l = 0\n        for i in range(len(nums) - 1, 0, -1):\n            l = lcm(l, nums[i])\n            if l == 1:\n                break\n\n        return len(nums) if l == 1 else 2",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        n = len(nums)\n        if n == 1:\n            return 1\n\n        g = nums[0]\n        for num in nums[1:]:\n            g = gcd(g, num)\n\n        return 1 if g == 1 else 2",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        gcd = nums[0]\n        for num in nums[1:]:\n            gcd = self.gcd(gcd, num)\n        \n        return 1 if gcd == 1 else 2\n\n    def gcd(self, a, b):\n        while b:\n            a, b = b, a % b\n        return a",
                "class Solution:\n    def minimumArrayLength(self, nums: List[int]) -> int:\n        def gcd(a, b):\n            while b:\n                a, b = b, a % b\n            return a\n\n        def lcm(a, b):\n            return a * b // gcd(a, b)\n\n        nums.sort()\n        l = 0\n        for i in range(len(nums) - 1, 0, -1):\n            l = lcm(l, nums[i])\n            if l == 1:\n                break\n\n        return len(nums) if l == 1 else 2"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        result = []\n        a_indices = [i for i in range(len(s)) if s[i:i + len(a)] == a]\n        b_indices = [i for i in range(len(s)) if s[i:i + len(b)] == b]\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    result.append(i)\n                    break\n\n        return sorted(list(set(result)))",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        result = []\n        a_indices = [i for i in range(len(s)) if s[i:i + len(a)] == a]\n        b_indices = [i for i in range(len(s)) if s[i:i + len(b)] == b]\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    result.append(i)\n                    break\n\n        return sorted(result)",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        def find_all_indices(s, sub):\n            indices = []\n            sub_len = len(sub)\n            for i in range(len(s) - sub_len + 1):\n                if s[i:i + sub_len] == sub:\n                    indices.append(i)\n            return indices\n\n        a_indices = find_all_indices(s, a)\n        b_indices = find_all_indices(s, b)\n        beautiful_indices = []\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    beautiful_indices.append(i)\n                    break\n\n        return sorted(list(set(beautiful_indices)))",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        def find_all_indices(s, sub):\n            indices = []\n            sub_len = len(sub)\n            for i in range(len(s) - sub_len + 1):\n                if s[i:i + sub_len] == sub:\n                    indices.append(i)\n            return indices\n\n        a_indices = find_all_indices(s, a)\n        b_indices = find_all_indices(s, b)\n        beautiful_indices = []\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    beautiful_indices.append(i)\n                    break\n\n        return sorted(list(set(beautiful_indices)))",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        result = []\n        a_indices = []\n        b_indices = []\n\n        for i in range(len(s) - len(a) + 1):\n            if s[i:i + len(a)] == a:\n                a_indices.append(i)\n\n        for j in range(len(s) - len(b) + 1):\n            if s[j:j + len(b)] == b:\n                b_indices.append(j)\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    result.append(i)\n                    break\n\n        return sorted(result)",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        result = []\n        a_indices = [i for i in range(len(s)) if s[i:i + len(a)] == a]\n        b_indices = [i for i in range(len(s)) if s[i:i + len(b)] == b]\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    result.append(i)\n                    break\n\n        return sorted(list(set(result)))",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        def find_all_indices(s, sub):\n            indices = []\n            sub_len = len(sub)\n            for i in range(len(s) - sub_len + 1):\n                if s[i:i + sub_len] == sub:\n                    indices.append(i)\n            return indices\n\n        a_indices = find_all_indices(s, a)\n        b_indices = find_all_indices(s, b)\n        beautiful_indices = []\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    beautiful_indices.append(i)\n                    break\n\n        return sorted(beautiful_indices)",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        result = []\n        a_indices = []\n        b_indices = []\n\n        # Find all indices of 'a' and 'b' in string 's'\n        for i in range(len(s)):\n            if i + len(a) <= len(s) and s[i:i + len(a)] == a:\n                a_indices.append(i)\n            if i + len(b) <= len(s) and s[i:i + len(b)] == b:\n                b_indices.append(i)\n\n        # Check for beautiful indices\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    result.append(i)\n\n        # Sort the result\n        result.sort()\n\n        return result",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        def find_all_indices(s, sub):\n            indices = []\n            sub_len = len(sub)\n            for i in range(len(s) - sub_len + 1):\n                if s[i:i + sub_len] == sub:\n                    indices.append(i)\n            return indices\n\n        a_indices = find_all_indices(s, a)\n        b_indices = find_all_indices(s, b)\n        beautiful_indices = []\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    beautiful_indices.append(i)\n                    break\n\n        return sorted(list(set(beautiful_indices)))",
                "class Solution:\n    def beautifulIndices(self, s: str, a: str, b: str, k: int) -> List[int]:\n        def find_all_indices(s, sub):\n            indices = []\n            sub_len = len(sub)\n            for i in range(len(s) - sub_len + 1):\n                if s[i:i + sub_len] == sub:\n                    indices.append(i)\n            return indices\n\n        a_indices = find_all_indices(s, a)\n        b_indices = find_all_indices(s, b)\n        beautiful_indices = []\n\n        for i in a_indices:\n            for j in b_indices:\n                if abs(i - j) <= k:\n                    beautiful_indices.append(i)\n                    break\n\n        return sorted(list(set(beautiful_indices)))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check for trailing zeros in the bitwise OR of all pairs of numbers\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if (nums[i] | nums[j]) & (-(nums[i] | nums[j])) != 0:\n                    return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check for trailing zeros in the bitwise OR of all pairs of numbers\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if (nums[i] | nums[j]) & (-nums[i] | -nums[j]) != 0:\n                    return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check if any number in the array has a trailing zero\n        for num in nums:\n            binary = bin(num)[2:]  # Get the binary representation without the leading '0b'\n            if binary[-1] == '0' or binary[-2] == '0':\n                return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check if any number in the array has a trailing zero\n        for num in nums:\n            binary = bin(num)[2:]  # Get the binary representation without the \"0b\" prefix\n            if binary[-1] == '0' or binary[-2] == '0':\n                return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check for trailing zeros in the bitwise OR of all pairs of numbers in the array\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if (nums[i] | nums[j]) & (-(nums[i] | nums[j])) != 0:\n                    return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check all pairs of numbers in the array\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                # Perform bitwise OR and check for trailing zeros\n                if (nums[i] | nums[j]) & (-(nums[i] | nums[j])) != 0:\n                    return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check if any number in the array has a trailing zero\n        for num in nums:\n            binary = bin(num)[2:]  # Get the binary representation without the leading '0b'\n            if binary[-1] == '0' or binary[-2] == '0':\n                return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check for trailing zeros in the bitwise OR of all pairs of numbers\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if (nums[i] | nums[j]) & (-(nums[i] | nums[j])) == 0:\n                    return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check for trailing zeros in the bitwise OR of all pairs of numbers\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if (nums[i] | nums[j]) & (-(nums[i] | nums[j])) != 0:\n                    return True\n        return False",
                "class Solution:\n    def hasTrailingZeros(self, nums: List[int]) -> bool:\n        # Check for trailing zeros in the bitwise OR of all pairs of numbers\n        for i in range(len(nums)):\n            for j in range(i + 1, len(nums)):\n                if (nums[i] | nums[j]) & (-(nums[i] | nums[j])) == 0:\n                    return True\n        return False"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        ans = bin(xor_sum ^ k).count('1')\n\n        for i in range(20, -1, -1):\n            cnt = 0\n            for num in nums:\n                if num & (1 << i):\n                    cnt += 1\n            if cnt % 2 == 1:\n                ans -= 1\n\n        return ans",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        ans = bin(xor_sum ^ k).count('1')\n        return ans // 2 + (ans % 2 and 1 or 0)",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        ans = bin(xor_sum ^ k).count('1')\n\n        for i in range(20, -1, -1):\n            cnt = 0\n            for num in nums:\n                if num & (1 << i):\n                    cnt += 1\n            if cnt % 2 == 1:\n                ans -= 1\n\n        return ans",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        \n        count = 0\n        for i in range(20):\n            if xor_sum & 1 << i:\n                count += 1\n        \n        for num in nums:\n            c = 0\n            for i in range(20):\n                if num & 1 << i:\n                    c += 1\n            if c % 2 != count % 2:\n                count += 1\n        \n        return count - (xor_sum == k)",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        def count_ones(n, i):\n            return (n >> i) & 1 if n else 0\n\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n\n        for i in range(20, -1, -1):\n            mask = 1 << i\n            cnt = sum(count_ones(num, i) for num in nums)\n            if (xor_sum & mask) and (cnt % 2 == 0):\n                xor_sum ^= mask\n            elif not (xor_sum & mask) and (cnt % 2 == 1):\n                return -1\n\n        return bin(xor_sum ^ k).count('1')",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        def count_ones(n, i):\n            return (n >> i) & 1 if n else 0\n\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n\n        for i in range(20, -1, -1):\n            mask = 1 << i\n            cnt = sum(count_ones(num, i) for num in nums)\n            if (xor_sum & mask) and (cnt % 2 == 0):\n                xor_sum ^= mask\n            elif not (xor_sum & mask) and (cnt % 2 == 1):\n                return -1\n\n        return bin(xor_sum ^ k).count('1')",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n\n        count = [0] * 20\n        for i in range(20):\n            count[i] = bin(xor_sum & (1 << i)).count('1')\n\n        for num in nums:\n            for i in range(20):\n                if bin(num & (1 << i)).count('1') != count[i]:\n                    count[i] += 1\n                    break\n\n        res = float('inf')\n        for i in range(20):\n            if count[i] % 2 == 1:\n                res = min(res, count[i] - 1)\n\n        return res if xor_sum ^ k else res + 1",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        \n        count = 0\n        for i in range(20):\n            if xor_sum & 1 << i:\n                count += 1\n                xor_sum ^= 1 << i\n        \n        for num in nums:\n            count = min(count, self.count_bits(num ^ k))\n        \n        return count if xor_sum == k else count + 1\n\n    def count_bits(self, num: int) -> int:\n        count = 0\n        while num:\n            count += num & 1\n            num >>= 1\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        \n        # Count the number of set bits in xor_sum\n        bit_count = bin(xor_sum).count('1')\n        \n        # If k is zero, no operations needed if xor_sum is also zero\n        if k == 0:\n            return 0 if xor_sum == 0 else -1\n        \n        # If k is not zero, we need to make sure xor_sum has an odd number of set bits\n        if k > 0 and bit_count % 2 == 0:\n            return -1\n        \n        # Now, we need to flip bit_count bits to make xor_sum equal to k\n        return bit_count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        xor_sum = 0\n        for num in nums:\n            xor_sum ^= num\n        ans = bin(xor_sum ^ k).count('1')\n        return ans // 2 + (ans % 2 and 1 or 0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                true,
                true,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = int((length ** 2 + width ** 2) ** 0.5)\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diag = 0\n        max_area = 0\n        for length, width in dimensions:\n            diag = (length ** 2 + width ** 2) ** 0.5\n            area = length * width\n            if diag > max_diag or (diag == max_diag and area > max_area):\n                max_diag = diag\n                max_area = area\n        return max_area",
                "class Solution:\n    def areaOfMaxDiagonal(self, dimensions: List[List[int]]) -> int:\n        max_diagonal = 0\n        max_area = 0\n        for length, width in dimensions:\n            diagonal = (length ** 2 + width ** 2) ** 0.5\n            if diagonal > max_diagonal:\n                max_diagonal = diagonal\n                max_area = length * width\n            elif diagonal == max_diagonal:\n                new_area = length * width\n                if new_area > max_area:\n                    max_area = new_area\n        return max_area"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n\n        for i in range(n):\n            dp[i][i] = 1\n            count += 1\n\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j]\n                if nums[i] >= nums[j]:\n                    dp[i][j] += 1\n                count += dp[i][j]\n\n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n\n        for i in range(n):\n            dp[i][i] = 1\n            for j in range(i):\n                if nums[j] < nums[i]:\n                    dp[j][i] = dp[j][i - 1] + 1\n                elif nums[j] > nums[i]:\n                    dp[j][i] = 1\n                else:\n                    dp[j][i] = dp[j][i - 1] + 2\n            count += dp[i][i]\n\n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n\n        for i in range(n):\n            dp[i][i] = 1\n            count += 1\n\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j]\n                if nums[i] >= nums[j]:\n                    dp[i][j] += 1\n                count += dp[i][j]\n\n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        for i in range(n):\n            dp[i][i] = 1\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j] + (nums[i] >= nums[j] and nums[i + 1] <= nums[j - 1])\n        return sum(dp[0][i - 1] for i in range(1, n + 1))",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n\n        for i in range(n):\n            dp[i][i] = 1\n            count += 1\n\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j]\n                if nums[i] >= nums[i + 1]:\n                    dp[i][j] += 1\n                if nums[j - 1] >= nums[j]:\n                    dp[i][j] += 1\n                count += dp[i][j]\n\n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n\n        for i in range(n):\n            dp[i][i] = 1\n            count += 1\n\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j]\n                if nums[i] >= nums[j]:\n                    dp[i][j] += 1\n                count += dp[i][j]\n\n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        for i in range(n):\n            dp[i][i] = 1\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j] + (nums[i] >= nums[i + 1] and nums[i + 1] >= nums[j])\n        return dp[0][n - 1]",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n        \n        for i in range(n):\n            dp[i][i] = 1\n            count += 1\n        \n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                if nums[i] <= nums[j]:\n                    dp[i][j] = dp[i][j-1] + 1\n                else:\n                    dp[i][j] = dp[i+1][j]\n                count += dp[i][j]\n        \n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[0] * n for _ in range(n)]\n        count = 0\n\n        for i in range(n):\n            dp[i][i] = 1\n            count += 1\n\n        for len in range(1, n):\n            for i in range(n - len):\n                j = i + len\n                dp[i][j] = dp[i][j - 1] + dp[i + 1][j]\n                if nums[i] >= nums[j]:\n                    dp[i][j] += 1\n                count += dp[i][j]\n\n        return count",
                "class Solution:\n    def incremovableSubarrayCount(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [1] * n\n        for i in range(1, n):\n            if nums[i] > nums[i - 1]:\n                dp[i] += dp[i - 1]\n        return sum(dp) + sum(dp[i] * (n - i - 1) for i in range(n))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            cnt = 0\n            for j in range(len(nums) - 1):\n                if nums[j] & nums[j + 1] < (nums[j] | nums[j + 1]) and (nums[j] & (1 << i)) == 0 and (nums[j + 1] & (1 << i)) == 0:\n                    cnt += 1\n            if cnt > k:\n                res += 2 ** i\n                break\n            k -= cnt\n        return res | nums[0]",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = sum(1 for num in nums if (num & (1 << i)) == 0)\n            if count_zeros <= k:\n                res += 1 << i\n                k -= count_zeros\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = sum(not x >> i & 1 for x in nums)\n            if count_zeros <= k:\n                res += 1 << i\n                k -= count_zeros\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = sum(not x >> i & 1 for x in nums)\n            if count_zeros <= k:\n                res += 1 << i\n                k -= count_zeros\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = 0\n            for num in nums:\n                if not num & 1 << i:\n                    count_zeros += 1\n                    if count_zeros > k:\n                        break\n            if count_zeros <= k:\n                res += 1 << i\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            cnt = 0\n            for j in range(len(nums) - 1):\n                if nums[j] & nums[j + 1] < (nums[j] | nums[j + 1]) and (nums[j] & (1 << i)) == 0 and (nums[j + 1] & (1 << i)) == 0:\n                    cnt += 1\n            if cnt > k:\n                continue\n            for j in range(len(nums) - 1):\n                if (nums[j] & (1 << i)) == 0 and (nums[j + 1] & (1 << i)) == 0:\n                    nums[j] &= nums[j + 1]\n            res += 1 << i\n            break\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = sum(1 for num in nums if (num & (1 << i)) == 0)\n            if count_zeros <= k:\n                res += 2 ** i\n                k -= count_zeros\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        or_val = 0\n        for num in nums:\n            or_val |= num\n\n        for i in range(len(nums) - 1):\n            if i > k:\n                break\n            nums[i] &= nums[i + 1]\n\n        for num in nums:\n            or_val = min(or_val, or_val | num)\n\n        return or_val",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = sum(1 for num in nums if (num & (1 << i)) == 0)\n            if count_zeros <= k:\n                res += 2 ** i\n                k -= count_zeros\n        return res",
                "class Solution:\n    def minOrAfterOperations(self, nums: List[int], k: int) -> int:\n        res = 0\n        for i in range(30, -1, -1):\n            count_zeros = sum(1 for num in nums if (num & (1 << i)) == 0)\n            if count_zeros <= k:\n                res += 2 ** i\n                k -= count_zeros\n            elif k > 0:\n                k = 0\n        return res"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2 - 1, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2 - 1, -1):\n            if nums[i - 2] + nums[i - 1] > nums[i]:\n                return nums[i - 2] + nums[i - 1] + nums[i]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2 - 1, -1):\n            if nums[i - 2] + nums[i - 1] > nums[i]:\n                return nums[i - 2] + nums[i - 1] + nums[i]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, n - 4, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, n - 3, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2 - 1, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2 - 1, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 1, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2 - 1, -1):\n            if nums[i - 2] + nums[i - 1] > nums[i]:\n                return nums[i - 2] + nums[i - 1] + nums[i]\n        return -1",
                "class Solution:\n    def largestPerimeter(self, nums: List[int]) -> int:\n        nums.sort()\n        n = len(nums)\n        for i in range(n - 1, 2, -1):\n            if nums[i] < nums[i - 1] + nums[i - 2]:\n                return nums[i] + nums[i - 1] + nums[i - 2]\n        return -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            dp[i + 1][1] = dp[i][0] + nums[i]\n            dp[i + 1][2] = min(dp[j][1] + dp[i][0] + nums[i] for j in range(i + 1))\n            for k in range(3, i + 2):\n                dp[i + 1][k] = min(dp[j][k - 1] + dp[i][0] + nums[i] for j in range(i + 1))\n\n        return dp[n][3]",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n\n        ans = float('inf')\n        for i in range(n):\n            ans = min(ans, dp[i][i] + dp[i + 1][i + 1] + dp[i + 2][n])\n\n        return ans",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[j - 1])\n                dp[i][j + 1] = min(dp[i][j + 1], dp[i][j] + nums[i])\n        return min(dp[0][i] + nums[0] for i in range(2, n + 1))",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n\n        ans = float('inf')\n        for i in range(n):\n            ans = min(ans, dp[i][i] + dp[i + 1][i + 1] + dp[i + 2][n])\n\n        return ans",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n        return dp[0][n]",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n        return dp[0][n]",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float(\"inf\")] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n        return dp[0][n]",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float(\"inf\")] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n        return dp[0][n]",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n        return dp[0][n]",
                "class Solution:\n    def minimumCost(self, nums: List[int]) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (n + 2) for _ in range(n + 2)]\n        for i in range(n - 1, -1, -1):\n            dp[i][i] = 0\n            for j in range(i + 1, n + 1):\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + nums[i])\n                dp[i][j] = min(dp[i][j], dp[i + 1][j] + nums[i])\n        return dp[0][n]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        left, right = 0, 0\n        max_sum = 0\n        current_sum = 0\n        freq = {}\n\n        while right < len(nums):\n            current_sum += nums[right]\n\n            if (nums[right] - k) in freq:\n                max_sum = max(max_sum, current_sum - freq[(nums[right] - k)] + nums[right])\n\n            if nums[right] in freq:\n                freq[nums[right]] += 1\n            else:\n                freq[nums[right]] = 1\n\n            while current_sum - nums[left] >= k:\n                current_sum -= nums[left]\n                left += 1\n\n            max_sum = max(max_sum, current_sum)\n            right += 1\n\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                if abs(nums[i] - nums[j]) == k:\n                    max_sum = max(max_sum, sum(nums[i:j+1]))\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        left, right = 0, 0\n        max_sum = 0\n        current_sum = 0\n        target_val = None\n        target_found = False\n\n        while right < len(nums):\n            if target_found:\n                current_sum += nums[right]\n                right += 1\n                if nums[right - 1] == target_val:\n                    target_found = False\n            else:\n                current_sum = nums[left] + nums[right]\n                right += 1\n                target_val = nums[left] + k\n                target_found = True\n\n            if abs(nums[left] - nums[right - 1]) == k:\n                max_sum = max(max_sum, current_sum)\n\n            if current_sum <= 0:\n                current_sum = 0\n                left = right\n\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        left, right = 0, 0\n        max_sum = 0\n        current_sum = 0\n        freq = {}\n\n        while right < len(nums):\n            current_sum += nums[right]\n\n            if (nums[right] - k) in freq:\n                max_sum = max(max_sum, current_sum - freq[(nums[right] - k)] + k)\n\n            if nums[right] in freq:\n                freq[nums[right]] += 1\n            else:\n                freq[nums[right]] = 1\n\n            if right - left + 1 > k:\n                current_sum -= nums[left]\n                left += 1\n\n            right += 1\n\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                if abs(nums[i] - nums[j]) == k:\n                    max_sum = max(max_sum, sum(nums[i:j+1]))\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                if abs(nums[i] - nums[j]) == k:\n                    max_sum = max(max_sum, sum(nums[i:j+1]))\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        left, right = 0, 0\n        max_sum = 0\n        current_sum = 0\n        mp = {}\n\n        while right < len(nums):\n            current_sum += nums[right]\n\n            if (nums[right] - k) in mp:\n                max_sum = max(max_sum, current_sum - mp[(nums[right] - k)])\n\n            if nums[right] in mp:\n                mp[nums[right]] += 1\n            else:\n                mp[nums[right]] = 1\n\n            if current_sum <= 0:\n                current_sum = 0\n                left = right + 1\n                mp = {}\n            right += 1\n\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        max_sum = 0\n        for i in range(n):\n            for j in range(i + 1, n + 1):\n                subarray = nums[i:j]\n                if len(subarray) < 2:\n                    continue\n                first = subarray[0]\n                last = subarray[-1]\n                if abs(first - last) == k:\n                    max_sum = max(max_sum, sum(subarray))\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        left, right = 0, 0\n        max_sum = 0\n        current_sum = 0\n        target_val = None\n        mp = {}\n\n        while right < len(nums):\n            target_val = nums[right] - k\n            if target_val in mp:\n                while left < right and nums[left] != target_val:\n                    left += 1\n                current_sum = mp[target_val] + nums[right]\n                max_sum = max(max_sum, current_sum)\n            mp[nums[right]] = mp.get(nums[right], 0) + nums[right]\n            right += 1\n\n        return max_sum",
                "class Solution:\n    def maximumSubarraySum(self, nums: List[int], k: int) -> int:\n        left, right = 0, 0\n        max_sum = 0\n        current_sum = 0\n        target_val = None\n        value_map = {}\n\n        while right < len(nums):\n            target_val = nums[right] - k\n            if target_val in value_map:\n                while left < right and nums[left] != target_val:\n                    left += 1\n                if nums[left] == target_val:\n                    current_sum = value_map[target_val] + nums[right]\n                    max_sum = max(max_sum, current_sum)\n                    left += 1\n            value_map[nums[right]] = value_map.get(nums[right], 0) + nums[right]\n            current_sum += nums[right]\n            max_sum = max(max_sum, current_sum)\n            right += 1\n\n        return max_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_len = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_len = max(max_len, len(key) * value // (value // 2 + 1))\n        return max_len",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_len = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_len = max(max_len, len(key) * value // (value // 2 + 1))\n        return max_len",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_len = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_len = max(max_len, 2)\n        return max_len",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_length = -1\n        for char, value in count.items():\n            if value >= 3:\n                max_length = max(max_length, len(char) * value // 2, len(char) * (value - 1))\n        return max_length",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i:i + 2]] = count.get(s[i:i + 2], 0) + 1\n            else:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_length = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_length = max(max_length, len(key))\n        return max_length",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_length = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_length = max(max_length, len(key) * value // (value // (s[0] == key) + 1))\n        return max_length",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_length = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_length = max(max_length, len(key) * value // (value // 2 + 1))\n        return max_length",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_length = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_length = max(max_length, len(key) * value // (value // 2 + 1))\n        return max_length",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_len = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_len = max(max_len, 1)\n        return max_len",
                "class Solution:\n    def maximumLength(self, s: str) -> int:\n        count = {}\n        for i in range(len(s) - 1):\n            if s[i] == s[i + 1]:\n                count[s[i]] = count.get(s[i], 0) + 1\n        max_length = -1\n        for key, value in count.items():\n            if value >= 3:\n                max_length = max(max_length, 2)\n        return max_length"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count",
                "class Solution:\n    def countMatchingSubarrays(self, nums: List[int], pattern: List[int]) -> int:\n        n, m = len(nums), len(pattern)\n        count = 0\n        for i in range(n - m):\n            match = True\n            for j in range(m):\n                if pattern[j] == 1 and nums[i + j] >= nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == 0 and nums[i + j] != nums[i + j + 1]:\n                    match = False\n                    break\n                if pattern[j] == -1 and nums[i + j] <= nums[i + j + 1]:\n                    match = False\n                    break\n            if match:\n                count += 1\n        return count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2",
                "class Solution:\n    def flowerGame(self, n: int, m: int) -> int:\n        if n == 1 and m == 1:\n            return 0\n        if n == 1:\n            return m\n        if m == 1:\n            return n\n        return n * m - (n - 1) * (m - 1) // 2"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n\n        groups = {}\n        for num in nums:\n            bit_count = count_set_bits(num)\n            if bit_count not in groups:\n                groups[bit_count] = []\n            groups[bit_count].append(num)\n\n        for bit_count in sorted(groups.keys()):\n            groups[bit_count].sort(reverse=True)\n\n        sorted_nums = []\n        for bit_count in sorted(groups.keys()):\n            sorted_nums.extend(groups[bit_count])\n\n        return sorted_nums == sorted(nums)",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n\n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and count_set_bits(sorted_nums[i]) != count_set_bits(sorted_nums[i + 1]):\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n\n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] > nums[i + 1]:\n                return False\n            if count_set_bits(nums[i]) != count_set_bits(sorted_nums[i]) or count_set_bits(nums[i + 1]) != count_set_bits(sorted_nums[i + 1]):\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n        \n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] > nums[i + 1]:\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n        \n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] > nums[i + 1]:\n                return False\n            if count_set_bits(sorted_nums[i]) != count_set_bits(sorted_nums[i + 1]) and sorted_nums[i] < sorted_nums[i + 1]:\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(num):\n            count = 0\n            while num:\n                count += num & 1\n                num >>= 1\n            return count\n\n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] > nums[i + 1]:\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(num):\n            count = 0\n            while num:\n                count += num & 1\n                num >>= 1\n            return count\n\n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] > nums[i + 1]:\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n\n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] != sorted_nums[i]:\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n        \n        sorted_nums = sorted(nums)\n        for i in range(len(nums)):\n            if count_set_bits(nums[i]) != count_set_bits(sorted_nums[i]):\n                return False\n        return True",
                "class Solution:\n    def canSortArray(self, nums: List[int]) -> bool:\n        def count_set_bits(n):\n            count = 0\n            while n:\n                count += n & 1\n                n >>= 1\n            return count\n        \n        sorted_nums = sorted(nums)\n        for i in range(len(nums) - 1):\n            if count_set_bits(nums[i]) != count_set_bits(nums[i + 1]) and nums[i] != sorted_nums[i]:\n                return False\n        return True"
            ],
            "pass1_list": [
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for i in range(m):\n            index = changeIndices[i]\n            if nums[index] > 0:\n                nums[index] -= 1\n            elif not marked[index]:\n                marked[index] = True\n                steps += 1\n\n        for i in range(n):\n            if not marked[i]:\n                return -1\n\n        return steps",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for s in range(m):\n            i = changeIndices[s] - 1\n            if nums[i] > 0:\n                nums[i] -= 1\n            elif not marked[i]:\n                marked[i] = True\n                steps += 1\n\n            if all(marked):\n                return s + 1\n\n        if all(marked):\n            return m\n        else:\n            return -1",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for s in range(m):\n            i = changeIndices[s] - 1\n            if nums[i] > 0:\n                nums[i] -= 1\n            elif not marked[i]:\n                marked[i] = True\n                steps += 1\n\n        return m if all(marked) else -1",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for i in range(m):\n            if not marked[changeIndices[i] - 1]:\n                nums[changeIndices[i] - 1] -= 1\n                if nums[changeIndices[i] - 1] == 0:\n                    marked[changeIndices[i] - 1] = True\n                    for j in range(n):\n                        if not marked[j]:\n                            return -1\n            steps += 1\n\n        return steps",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for s in range(m):\n            i = changeIndices[s] - 1\n            if nums[i] > 0:\n                nums[i] -= 1\n            elif not marked[i]:\n                marked[i] = True\n                steps += 1\n\n            if all(marked):\n                return s + 1\n\n        for i in range(n):\n            if not marked[i]:\n                return -1\n\n        return steps",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * (n + 1)\n        seconds = 0\n\n        for s in changeIndices:\n            if not marked[s]:\n                nums[s - 1] -= 1\n                if nums[s - 1] == 0:\n                    marked[s] = True\n                    for i in range(1, n + 1):\n                        if not marked[i]:\n                            return -1\n            seconds += 1\n\n        return seconds",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for i in range(m):\n            index = changeIndices[i]\n            if nums[index] > 0:\n                nums[index] -= 1\n            elif not marked[index]:\n                marked[index] = True\n                steps += 1\n\n            if all(marked):\n                return steps + 1\n\n        if all(marked):\n            return m\n        else:\n            return -1",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for s in range(m):\n            i = changeIndices[s] - 1\n            if nums[i] > 0:\n                nums[i] -= 1\n            elif not marked[i]:\n                marked[i] = True\n                steps += 1\n\n            if all(marked):\n                return s + 1\n\n        return -1 if all(marked) else m + 1",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for s in range(m):\n            i = changeIndices[s] - 1\n            if nums[i] > 0:\n                nums[i] -= 1\n            elif not marked[i]:\n                marked[i] = True\n                steps += 1\n\n            if all(marked):\n                return s + 1\n\n        if all(marked):\n            return m\n        else:\n            return -1",
                "class Solution:\n    def earliestSecondToMarkIndices(self, nums: List[int], changeIndices: List[int]) -> int:\n        n, m = len(nums), len(changeIndices)\n        marked = [False] * n\n        steps = 0\n\n        for s in range(m):\n            i = changeIndices[s] - 1\n            if nums[i] > 0:\n                nums[i] -= 1\n            elif not marked[i]:\n                marked[i] = True\n                steps += 1\n\n            if all(marked):\n                return s + 1\n\n        for i in range(n):\n            if not marked[i]:\n                return -1\n\n        return steps"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        # Initialize the time counter and the current word\n        time, current = 0, word\n        \n        # Keep looping until the current word becomes equal to the original word\n        while current != word:\n            # Increment the time counter\n            time += 1\n            \n            # Remove the first k characters from the current word\n            current = current[k:]\n            \n            # Add k characters from the end of the original word to the current word\n            current += word[:k]\n        \n        # Return the time counter as the minimum time required\n        return time",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[n-k:] + word[:n-k]\n        for i in range(time):\n            word = word[k:] + word[:k]\n            if word == word[k:]:\n                return i + 1\n        return time",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[n-k:] + word[:n-k]\n        for _ in range(time):\n            word = word[k:] + word[:k]\n            if word == word[:k] + word[k:] + word[:k] + word[2*k:]:\n                return time\n        return time + 1",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[n-k:] + word[:n-k]\n        for _ in range(time):\n            word = word[k:] + word[:k]\n            if word == word[:k]:\n                return time\n        return -1",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[n - k:] + word[:n - k]\n        for i in range(time):\n            word = word[k:] + word[:k]\n            if word == word[:k] + word[k:] + word[:k]:\n                return i + 1\n        return time",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        # Initialize the time required to revert word to its initial state\n        time = 0\n        \n        # Keep processing until word reverts to its initial state\n        while word != word[k:]:\n            # Remove the first k characters of word\n            word = word[k:]\n            # Add k characters to the end of word\n            word += word[:k]\n            # Increment the time\n            time += 1\n        \n        # Return the minimum time required for word to revert to its initial state\n        return time",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        seen = set()\n        time = 0\n        while True:\n            time += 1\n            new_word = word[-k:] + word[:-k]\n            if new_word == word:\n                break\n            if new_word in seen:\n                break\n            seen.add(word)\n            word = new_word\n        return time - 1",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[n-k:] + word[:n-k]\n        for i in range(time):\n            word = word[k:] + word[:k]\n            if word == word[:k] + word[k:] + word[:k]:\n                return i + 1\n        return time",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[n-k:] + word[:n-k]\n        for _ in range(time):\n            word = word[k:] + word[:k]\n            if word == word[:k] + word[k:] and word == word[::-1]:\n                return time\n        return time + 1",
                "class Solution:\n    def minimumTimeToInitialState(self, word: str, k: int) -> int:\n        n = len(word)\n        time = n // k\n        if n % k != 0:\n            time += 1\n        word = word[-k:] + word[:-k]\n        for _ in range(time):\n            word = word[-k:] + word[:-k]\n            if word == word[-k:] + word[:-k]:\n                return time"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = 0, 1\n        max_len = 1\n        min_val = nums[0]\n        max_val = nums[0] + 1\n\n        for i in range(1, len(nums)):\n            if nums[i] <= max_val:\n                max_val = max(max_val, nums[i] + 1)\n                min_val = min(min_val, nums[i])\n                right = i + 1\n                max_len = max(max_len, right - left)\n            elif nums[i] == max_val + 1:\n                left = right\n                right = i + 1\n                min_val = nums[i]\n                max_val = nums[i] + 1\n                max_len = max(max_len, right - left)\n\n        return max_len",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        nums.sort()\n        dp = [1] * len(nums)\n        for i in range(1, len(nums)):\n            if nums[i] - nums[i - 1] == 1:\n                dp[i] = dp[i - 1] + 1\n            elif nums[i] - nums[i - 1] == 0:\n                dp[i] = 2\n            else:\n                dp[i] = 1\n        return max(dp)",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = 0, 1\n        max_length = 0\n        while right < len(nums):\n            if nums[right] - nums[left] <= right - left:\n                max_length = max(max_length, right - left + 1)\n                right += 1\n            else:\n                left += 1\n        return max_length",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = 0, 1\n        max_len = 1\n        min_val = nums[0]\n        max_val = nums[0]\n\n        for i in range(1, len(nums)):\n            if nums[i] == min_val or nums[i] == max_val + 1:\n                left, min_val = i, min(min_val, nums[i])\n            elif nums[i] == min_val + 1 or nums[i] == max_val:\n                right, max_val = i, max(max_val, nums[i])\n\n            max_len = max(max_len, right - left + 1)\n\n        return max_len",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = 0, 1\n        max_len = 1\n        min_val = nums[0]\n        max_val = nums[0]\n\n        for i in range(1, len(nums)):\n            if nums[i] == min_val + 1 or nums[i] == max_val + 1:\n                min_val = min(min_val, nums[i])\n                max_val = max(max_val, nums[i])\n                left, right = i, i + 1\n                max_len = max(max_len, right - left + 1)\n            elif nums[i] <= min_val:\n                min_val = nums[i]\n                left = i\n            elif nums[i] >= max_val + 1:\n                max_val = nums[i]\n                right = i\n\n        return max_len",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = min(nums), max(nums)\n        count = 0\n        while left <= right:\n            mid = (left + right) // 2\n            temp_count = 0\n            for num in nums:\n                if num > mid:\n                    temp_count += 1\n                elif num == mid:\n                    temp_count += 1\n                else:\n                    temp_count = 1\n            count = max(count, temp_count)\n            if temp_count < count:\n                right = mid - 1\n            else:\n                left = mid + 1\n        return count",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        min_val = min(nums)\n        nums = [num - min_val for num in nums]\n\n        dp = [1] * len(nums)\n        for i in range(1, len(nums)):\n            for j in range(i):\n                if nums[i] - nums[j] == 1:\n                    dp[i] = max(dp[i], dp[j] + 1)\n\n        return max(dp)",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = min(nums), max(nums)\n        count = 0\n        while left <= right:\n            mid = left + (right - left) // 2\n            temp = 0\n            for num in nums:\n                if num <= mid:\n                    temp += 1\n                if num + 1 <= mid:\n                    temp += 1\n            count = max(count, temp)\n            if temp == len(nums):\n                break\n            if temp > len(nums) // 2:\n                left = mid + 1\n            else:\n                right = mid - 1\n        return count",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        left, right = min(nums), max(nums)\n        count = 0\n        while left <= right:\n            mid = left + (right - left) // 2\n            temp = [num for num in nums if num <= mid]\n            temp.sort()\n            if all(temp[i] == i for i in range(len(temp))):\n                count = len(temp)\n                left = mid + 1\n            else:\n                right = mid - 1\n        return count",
                "class Solution:\n    def maxSelectedElements(self, nums: List[int]) -> int:\n        min_val = min(nums)\n        nums = [num - min_val for num in nums]\n        nums.sort()\n        max_length = 1\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] == nums[i - 1] + 1:\n                current_length += 1\n            else:\n                max_length = max(max_length, current_length)\n                current_length = 1\n\n        return max(max_length, current_length)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = count.get(num**4, 0) - 1\n        \n        max_len = 0\n        for num, freq in count.items():\n            max_len = max(max_len, freq)\n        \n        return max_len * 2 + 1 if max_len > 0 else 0",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = count.get(num**4, 0) - 1\n        \n        max_len = 0\n        for num, freq in count.items():\n            max_len = max(max_len, freq * 2 + 1)\n        \n        return max_len",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = count.get(num**4, 0) - 1\n        \n        max_len = 0\n        for num, freq in count.items():\n            max_len = max(max_len, freq)\n        \n        return max_len * 2 + 1",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = count.get(num**4, 0) - 1\n        \n        max_len = 0\n        for num, freq in count.items():\n            max_len = max(max_len, freq)\n        \n        return max_len * 2 + 1 if max_len > 0 else 0",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = max(count.get(num**4, 0), count[num] - count.get(num**2, 0))\n            count[num**8] = max(count.get(num**8, 0), count[num] - count.get(num**4, 0))\n            for i in range(12, 30, 2):\n                count[num**i] = max(count.get(num**i, 0), count[num**i-4] + count[num**i-2] - count[num**i-6])\n\n        return max(count.values()) + 1",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = max(count.get(num**4, 0), count[num] - 1)\n            count[num**8] = max(count.get(num**8, 0), count[num**4] - 1)\n            power = 16\n            while num**power in count:\n                count[num**power] = max(count[num**power], count[num**power//2] - 1)\n                power *= 2\n\n        return max(count.values()) + 1",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num, 0) + 1\n            count[num**2] = count.get(num**2, 0) - 1\n        \n        ans = 0\n        for num, c in count.items():\n            ans = max(ans, c)\n            count[num**0.5] = max(count.get(int(num**0.5), 0) - c, 0)\n        \n        return ans + 1",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = max(count.get(num**4, 0), count[num] - 1)\n            count[num**8] = max(count.get(num**8, 0), count[num] - 1)\n            temp = num\n            while temp**2 in count:\n                count[temp**2] = max(count[temp**2], count[temp])\n                temp *= 2\n\n        ans = 0\n        for val in count.values():\n            ans = max(ans, val * 2 + 1)\n\n        return ans",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = count.get(num**4, 0) - 1\n        \n        max_len = 0\n        for num, freq in count.items():\n            max_len = max(max_len, freq)\n        \n        return max_len * 2 + 1",
                "class Solution:\n    def maximumLength(self, nums: List[int]) -> int:\n        count = {}\n        for num in nums:\n            count[num] = count.get(num**2, 0) + 1\n            count[num**4] = count.get(num**4, 0) - 1\n        \n        max_len = 0\n        for num, freq in count.items():\n            max_len = max(max_len, freq + count.get(num**2, 0))\n        \n        return max_len + 1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n\n            while k > 0 and min_heap:\n                val = min_heap.pop()\n                if not marked[val]:\n                    marked[val] = True\n                    unmarked_sum -= nums[val]\n                k -= 1\n\n            for i in range(n):\n                if not marked[i]:\n                    min_heap.append(i)\n                    min_heap.sort(key=lambda x: (nums[x], x))\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n                heapq.heappush(min_heap, nums[index])\n\n            while k > 0 and min_heap:\n                val = heapq.heappop(min_heap)\n                if not marked[nums.index(val)]:\n                    marked[nums.index(val)] = True\n                    unmarked_sum -= val\n                    k -= 1\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n\n            while k > 0 and min_heap:\n                val = min_heap.pop(0)\n                if not marked[val]:\n                    marked[val] = True\n                    unmarked_sum -= nums[val]\n                k -= 1\n\n            for i in range(n):\n                if not marked[i]:\n                    min_heap.append(i)\n                    min_heap.sort(key=lambda x: nums[x])\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n                heapq.heappush(min_heap, nums[index])\n\n            while k > 0 and min_heap:\n                val = heapq.heappop(min_heap)\n                if not marked[nums.index(val)]:\n                    marked[nums.index(val)] = True\n                    unmarked_sum -= val\n                    k -= 1\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n\n            while k > 0 and min_heap:\n                val = min_heap.pop()\n                if not marked[val]:\n                    marked[val] = True\n                    unmarked_sum -= nums[val]\n                k -= 1\n\n            if k > 0:\n                for i in range(n):\n                    if not marked[i]:\n                        min_heap.append(i)\n                        min_heap.sort(key=lambda x: (nums[x], x))\n                        k -= 1\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                unmarked_sum -= nums[index]\n                marked[index] = True\n                heapq.heappush(min_heap, nums[index])\n\n            for _ in range(k):\n                if min_heap:\n                    unmarked_sum -= heapq.heappop(min_heap)\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n\n            while k > 0 and min_heap:\n                val = heappop(min_heap)\n                if not marked[val]:\n                    marked[val] = True\n                    unmarked_sum -= nums[val]\n                k -= 1\n\n            for i in range(n):\n                if not marked[i]:\n                    heappush(min_heap, i)\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                marked[index] = True\n                unmarked_sum -= nums[index]\n\n            while k > 0 and min_heap:\n                val = min_heap.pop()\n                if not marked[val]:\n                    marked[val] = True\n                    unmarked_sum -= nums[val]\n                k -= 1\n\n            if k > 0:\n                for i in range(n):\n                    if not marked[i]:\n                        min_heap.append(i)\n                        min_heap.sort(key=lambda x: (nums[x], x))\n                        k -= 1\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                unmarked_sum -= nums[index]\n                marked[index] = True\n                heapq.heappush(min_heap, nums[index])\n\n            while k > 0 and min_heap:\n                val = heapq.heappop(min_heap)\n                if not marked[nums.index(val)]:\n                    unmarked_sum -= val\n                    marked[nums.index(val)] = True\n                    k -= 1\n\n            answer.append(unmarked_sum)\n\n        return answer",
                "class Solution:\n    def unmarkedSumArray(self, nums: List[int], queries: List[List[int]]) -> List[int]:\n        n = len(nums)\n        marked = [False] * n\n        unmarked_sum = sum(nums)\n        min_heap = []\n        answer = []\n\n        for query in queries:\n            index, k = query\n            if not marked[index]:\n                unmarked_sum -= nums[index]\n                marked[index] = True\n                min_heap.append(nums[index])\n                heapq.heapify(min_heap)\n\n            for _ in range(k):\n                if min_heap:\n                    unmarked_sum -= heapq.heappop(min_heap)\n\n            answer.append(unmarked_sum)\n\n        return answer"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        last_str = \"\"\n        for char in reversed(s):\n            if char not in last_str:\n                last_str = char + last_str\n        return last_str",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        # Create a set of unique characters in the string\n        unique_chars = set(s)\n        # Initialize a string to store the result\n        result = \"\"\n        # Iterate through the unique characters\n        for char in unique_chars:\n            # Find the index of the first occurrence of the character\n            index = s.find(char)\n            # If the character is in the string\n            if index != -1:\n                # Append the character at that index to the result\n                result += s[index]\n                # Remove the character from the string\n                s = s[:index] + s[index + 1:]\n        return result",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        last = \"\"\n        for c in reversed(s):\n            if c not in last:\n                last = c + last\n        return last",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        # Create a set of unique characters in the string\n        unique_chars = set(s)\n        # Initialize a result string\n        result = \"\"\n        # Iterate through the unique characters\n        for char in unique_chars:\n            # If the character is in the string, append it to the result\n            if char in s:\n                result += char\n        # Return the result string\n        return result",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        # Create a set of unique characters in the string\n        unique_chars = set(s)\n        # Initialize a string to store the result\n        result = \"\"\n        # Iterate through the unique characters\n        for char in unique_chars:\n            # Find the index of the first occurrence of the character\n            index = s.find(char)\n            # If the character is found\n            if index != -1:\n                # Add the character to the result\n                result += char\n                # Remove the character from the string\n                s = s[index + 1:]\n        return result",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        alphabet = set('abcdefghijklmnopqrstuvwxyz')\n        result = []\n        for char in s:\n            if char not in alphabet:\n                result.append(char)\n                alphabet.add(char)\n        return \"\".join(result)",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        stack = []\n        for c in s:\n            if not stack or stack[-1] != c:\n                stack.append(c)\n            else:\n                stack.pop()\n        return \"\".join(stack)",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        count = {}\n        for c in s:\n            if c not in count:\n                count[c] = 1\n            else:\n                count[c] += 1\n\n        res = \"\"\n        for c in \"abcdefghijklmnopqrstuvwxyz\":\n            if c in count and count[c] > 0:\n                res += c\n                count[c] -= 1\n\n        return res",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        # Create a set containing all unique characters in s\n        unique_chars = set(s)\n        # Initialize a string to store the result\n        result = \"\"\n        # Iterate through the unique characters\n        for char in unique_chars:\n            # Find the index of the first occurrence of the character in s\n            index = s.find(char)\n            # If the character is found\n            if index != -1:\n                # Add the character to the result\n                result += char\n                # Remove the first occurrence of the character from s\n                s = s[index + 1 :]\n        # Return the result\n        return result",
                "class Solution:\n    def lastNonEmptyString(self, s: str) -> str:\n        alphabet = set('abcdefghijklmnopqrstuvwxyz')\n        result = []\n        for char in s:\n            if char not in alphabet:\n                result.append(char)\n                alphabet.add(char)\n        return \"\".join(result)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            length_str1 = len(str1)\n            return str2.startswith(str1) and str2.endswith(str1) and (len(str2) > length_str1)\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            length_str1 = len(str1)\n            return str2.startswith(str1) and str2.endswith(str1) and (len(str2) > 2 * length_str1)\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            length_str1 = len(str1)\n            return str2.startswith(str1) and str2.endswith(str1) and (\n                length_str1 != len(str2) or length_str1 % 2 == 0\n            )\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            return str2.startswith(str1) and str2.endswith(str1)\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            length_str1 = len(str1)\n            return str2.startswith(str1) and str2.endswith(str1) and (len(str2) > length_str1)\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            length_str1 = len(str1)\n            return str2.startswith(str1) and str2.endswith(str1) and (len(str2) > length_str1)\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            return str2.startswith(str1) and str2.endswith(str1)\n        \n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            length_str1 = len(str1)\n            return str2.startswith(str1) and str2.endswith(str1) and (\n                length_str1 != len(str2) or length_str1 % 2 == 0\n            )\n\n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n\n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            return str2.startswith(str1) and str2.endswith(str1)\n        \n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n        \n        return count",
                "class Solution:\n    def countPrefixSuffixPairs(self, words: List[str]) -> int:\n        def is_prefix_and_suffix(str1: str, str2: str) -> bool:\n            return str2.startswith(str1) and str2.endswith(str1)\n        \n        count = 0\n        for i in range(len(words)):\n            for j in range(i + 1, len(words)):\n                if is_prefix_and_suffix(words[i], words[j]):\n                    count += 1\n        \n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n        \n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n        \n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count",
                "class Solution:\n    def returnToBoundaryCount(self, nums: List[int]) -> int:\n        count = 0\n        position = 0\n\n        for num in nums:\n            position += num\n            if position == 0:\n                count += 1\n\n        return count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n        \n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n                \n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            lower_c = c.lower()\n            if lower_c != last_key:\n                count += 1\n                last_key = lower_c\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            lower_c = c.lower()\n            if lower_c != last_key:\n                count += 1\n                last_key = lower_c\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n        \n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n                \n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            lower_c = c.lower()\n            if lower_c != last_key:\n                count += 1\n                last_key = lower_c\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n\n        return count",
                "class Solution:\n    def countKeyChanges(self, s: str) -> int:\n        count = 0\n        last_key = ''\n\n        for c in s:\n            current_key = c.lower()\n            if current_key != last_key:\n                count += 1\n                last_key = current_key\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        dp = [float('-inf')] * (k + 1)\n        dp[0] = 0\n        for i in range(1, n + 1):\n            strength = prefix_sum[i] - prefix_sum[i - 1]\n            for j in range(k, 0, -1):\n                dp[j] = max(dp[j], dp[j - 1] + strength * j)\n\n        return dp[k]",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        dp = [float(\"-inf\")] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            for j in range(i, -1, -1):\n                dp[j + 1] = max(dp[j + 1], dp[j] + (prefix_sum[i + 1] - prefix_sum[j]))\n\n        max_strength = 0\n        for i in range(n):\n            if dp[i + 1] > 0:\n                max_strength = max(max_strength, dp[i + 1] * k)\n\n        return max_strength",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        dp = [float('-inf')] * (k + 1)\n        dp[0] = 0\n        for i in range(1, n + 1):\n            strength = prefix_sum[i] - prefix_sum[i - 1]\n            for j in range(k, 0, -1):\n                dp[j] = max(dp[j], dp[j - 1] + strength * j)\n\n        return dp[k]",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        strength = [0] * n\n        for i in range(n):\n            strength[i] = nums[i] * (i + 1)\n\n        for i in range(1, n):\n            strength[i] += strength[i - 1]\n\n        strength.sort(reverse=True)\n\n        ans = sum(strength[:k])\n        return ans",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        prefix_sum = [0] * (n + 1)\n        for i in range(n):\n            prefix_sum[i + 1] = prefix_sum[i] + nums[i]\n\n        dp = [float('-inf')] * (k + 1)\n        dp[0] = 0\n        for i in range(1, n + 1):\n            strength = prefix_sum[i] - prefix_sum[i - 1]\n            for j in range(k, 0, -1):\n                dp[j] = max(dp[j], dp[j - 1] + strength * j)\n\n        return dp[k]",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        strength = [0] * n\n        for i in range(n):\n            strength[i] = nums[i] * (i + 1)\n\n        for i in range(1, n):\n            strength[i] += strength[i - 1]\n\n        strength.sort(reverse=True)\n\n        ans = sum(strength[:k])\n        return ans",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        strength = [0] * n\n        for i in range(n):\n            strength[i] = nums[i] * (i + 1)\n        for i in range(1, n):\n            strength[i] += strength[i - 1]\n        strength.sort(reverse=True)\n        ans = sum(strength[:k])\n        return ans",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        strength = [0] * n\n        for i in range(n):\n            strength[i] = nums[i] * (i + 1)\n        for i in range(1, n):\n            strength[i] += strength[i - 1]\n        strength.sort(reverse=True)\n        ans = sum(strength[:k])\n        return ans",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        strength = [0] * n\n        for i in range(n):\n            strength[i] = nums[i] * (i + 1)\n        for i in range(1, n):\n            strength[i] += strength[i - 1]\n        strength.sort(reverse=True)\n        ans = sum(strength[:k])\n        return ans",
                "class Solution:\n    def maximumStrength(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        strength = [0] * n\n        for i in range(n):\n            strength[i] = nums[i] * (i + 1)\n        for i in range(1, n):\n            strength[i] += strength[i - 1]\n        strength.sort(reverse=True)\n        return sum(strength[:k])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n        dp = [[0] * n for _ in range(k)]\n\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (j - i + 1)) % MOD\n\n        ans = 0\n        for i in range(n - k + 1):\n            sorted_nums = sorted(nums[i:i + k])\n            diffs = [sorted_nums[j] - sorted_nums[j - 1] for j in range(1, k)]\n            power = sum(diffs)\n            ans = (ans + dp[k - 1][i + k - 1] * power) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n        \n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (n - j) % MOD) % MOD\n        \n        ans = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                diff = abs(nums[i] - nums[j])\n                for l in range(k):\n                    ans = (ans + dp[k - 1][l] * diff % MOD) % MOD\n        \n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] - dp[i - 1][j - 1]) % MOD\n\n        ans = 0\n        for i in range(n - k + 1):\n            sorted_nums = sorted(nums[i:i + k])\n            diffs = [sorted_nums[j] - sorted_nums[j - 1] for j in range(1, k)]\n            min_diff = min(diffs)\n            ans = (ans + min_diff * dp[k - 1][i + k - 1]) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] - dp[i - 1][j - 1]) % MOD\n\n        ans = 0\n        for i in range(n - k + 1):\n            sorted_nums = sorted(nums[i:i + k])\n            diffs = [sorted_nums[j] - sorted_nums[j - 1] for j in range(1, k)]\n            ans = (ans + sum(diffs)) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (n - j)) % MOD\n\n        nums.sort()\n        ans = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                if nums[j] - nums[i] > 0:\n                    ans = (ans + dp[k - 1][j] * (j - i)) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (n - j)) % MOD\n\n        ans = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                power = abs(nums[i] - nums[j])\n                ans = (ans + dp[k - 2][i] * dp[1][j] * power) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n        \n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (n - j)) % MOD\n        \n        ans = 0\n        for i in range(n):\n            for j in range(i + 1, n):\n                diff = abs(nums[i] - nums[j])\n                for l in range(k):\n                    ans = (ans + dp[k - 1][j] * diff) % MOD\n        \n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (n - j) % MOD) % MOD\n\n        ans = 0\n        for i in range(n - k + 1):\n            s = set(nums[i:i + k])\n            ans = (ans + len(s) * (len(s) - 1) // 2) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n\n        dp = [[0] * n for _ in range(k)]\n        for i in range(n):\n            dp[0][i] = 1\n\n        for i in range(1, k):\n            for j in range(1, n):\n                dp[i][j] = (dp[i][j - 1] + dp[i - 1][j] * (n - j) * (j - i + 1)) % MOD\n\n        ans = 0\n        for i in range(n - k + 1):\n            sorted_nums = sorted(nums[i:i + k])\n            diff = [sorted_nums[j] - sorted_nums[j - 1] for j in range(1, k)]\n            power = sum(diff)\n            ans = (ans + dp[k - 1][i + k - 1] * power) % MOD\n\n        return ans",
                "class Solution:\n    def sumOfPowers(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        MOD = 10**9 + 7\n\n        # Sort the input array\n        nums.sort()\n\n        # Initialize the result to 0\n        result = 0\n\n        # Iterate over all possible distances\n        for dist in range(1, n + 1):\n            count = 0\n\n            # Find the number of pairs with the given distance\n            for i in range(n - 1):\n                if nums[i + 1] - nums[i] == dist:\n                    count += 1\n\n            # Calculate the number of subsequences with the given distance\n            subsequences = (\n                (factorial(k - 1, MOD) * factorial(n - k, MOD) * factorial(n - k - count, MOD))\n                % MOD\n                * factorial(count, MOD)\n            ) % MOD\n\n            # Add the contribution of these subsequences to the result\n            result = (result + subsequences * dist) % MOD\n\n        return result\n\n    def factorial(self, n, MOD):\n        result = 1\n        for i in range(1, n + 1):\n            result = (result * i) % MOD\n        return result"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_counts = {}\n        for word in words:\n            for letter in word:\n                letter_counts[letter] = letter_counts.get(letter, 0) + 1\n\n        odd_count = sum(1 for count in letter_counts.values() if count % 2 == 1)\n        return min(len(words), len(letter_counts) + (odd_count + 1) // 2)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_count = {}\n        for word in words:\n            for letter in word:\n                letter_count[letter] = letter_count.get(letter, 0) + 1\n\n        odd_count = sum(1 for count in letter_count.values() if count % 2 == 1)\n        return min(len(words), odd_count // 2 + 1)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_count = {}\n        for word in words:\n            for letter in word:\n                letter_count[letter] = letter_count.get(letter, 0) + 1\n\n        odd_count = sum(1 for count in letter_count.values() if count % 2 == 1)\n        return min(len(words), odd_count + 1)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        freq = [0] * 26\n        for word in words:\n            for ch in word:\n                freq[ord(ch) - ord('a')] += 1\n\n        count = 0\n        for i in range(26):\n            count += freq[i] // 2 * 2\n            if freq[i] % 2 == 1:\n                count += 1\n\n        return min(count, len(words))",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        from collections import Counter\n\n        letter_counts = Counter(letter for word in words for letter in word)\n        odd_counts = sum(1 for count in letter_counts.values() if count % 2 == 1)\n        return min(len(words), len(letter_counts) + (odd_counts + 1) // 2)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_counts = {}\n        for word in words:\n            for letter in word:\n                letter_counts[letter] = letter_counts.get(letter, 0) + 1\n\n        odd_count = sum(1 for count in letter_counts.values() if count % 2 == 1)\n        return min(len(words), odd_count + 1)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_count = {}\n        for word in words:\n            for letter in word:\n                letter_count[letter] = letter_count.get(letter, 0) + 1\n\n        max_palindromes = 0\n        for word in words:\n            is_palindrome = True\n            for i in range(len(word) // 2):\n                if word[i] != word[-i - 1]:\n                    is_palindrome = False\n                    break\n            if is_palindrome:\n                max_palindromes += 1\n                for letter in word:\n                    letter_count[letter] -= 1\n\n        return max_palindromes + sum(1 for count in letter_count.values() if count % 2 == 0) // 2",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_counts = {}\n        for word in words:\n            for letter in word:\n                letter_counts[letter] = letter_counts.get(letter, 0) + 1\n\n        odd_counts = sum(1 for count in letter_counts.values() if count % 2 == 1)\n        return min(len(words), odd_counts + 1)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_count = {}\n        for word in words:\n            for letter in word:\n                letter_count[letter] = letter_count.get(letter, 0) + 1\n\n        odd_count = sum(1 for count in letter_count.values() if count % 2 == 1)\n        return min(len(words), odd_count // 2 + 1)",
                "class Solution:\n    def maxPalindromesAfterOperations(self, words: List[str]) -> int:\n        letter_count = {}\n        for word in words:\n            for letter in word:\n                letter_count[letter] = letter_count.get(letter, 0) + 1\n        \n        odd_count = sum(1 for count in letter_count.values() if count % 2 == 1)\n        return min(len(words), odd_count // 2 + 1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count // 2",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count // 2",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            if i != j and nums[i] + nums[j] == target:\n                count += 1\n                i = 0\n                j = 1\n            elif nums[i] + nums[j] < target:\n                i += 1\n            else:\n                j += 1\n        return count // 2",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum > target_sum:\n                j += 1\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                count += 1\n                i += 1\n                j += 1\n        return count",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count // 2",
                "class Solution:\n    def maxOperations(self, nums: List[int]) -> int:\n        nums.sort()\n        count = 0\n        target_sum = nums[-1] + nums[-2]\n        i, j = 0, 1\n        while i < len(nums) - 1 and j < len(nums):\n            current_sum = nums[i] + nums[j]\n            if current_sum == target_sum:\n                count += 1\n                i += 2\n                j = i\n            elif current_sum < target_sum:\n                i += 1\n            else:\n                j += 1\n        return count // 2"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        counter = collections.Counter(nums)\n        nums.sort()\n\n        def dfs(index, used, count):\n            if count == len(nums) // 2:\n                return True\n            for i in range(index, len(nums)):\n                if (used[nums[i]] + used[nums[i] ^ 1]) % 2 == 0:\n                    used[nums[i]] += 1\n                    if dfs(i + 1, used, count + 1):\n                        return True\n                    used[nums[i]] -= 1\n            return False\n\n        return dfs(0, [0] * 101, 0)",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        nums_set = set(nums)\n        n = len(nums)\n        count = 0\n        for num in nums_set:\n            if nums.count(num) == n // 2:\n                return False\n            count += nums.count(num)\n        return count == n",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        n = len(nums) // 2\n        nums1 = set()\n        nums2 = set()\n        for num in nums:\n            if num in nums1:\n                nums2.add(num)\n                nums2.remove(num)\n            elif num in nums2:\n                nums1.add(num)\n                nums1.remove(num)\n            elif len(nums1) < n:\n                nums1.add(num)\n            else:\n                nums2.add(num)\n            if len(nums1) == n and len(nums2) == n:\n                return True\n        return False",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        counter = collections.Counter(nums)\n        nums1_elements = set()\n        for num, freq in counter.items():\n            if freq == 1:\n                nums1_elements.add(num)\n            elif freq == 2:\n                counter[num] -= 1\n            else:\n                return False\n        \n        for num, freq in counter.items():\n            if freq > 0 and num not in nums1_elements:\n                nums1_elements.add(num)\n            elif freq > 1:\n                return False\n        \n        return True",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        nums_set = set(nums)\n        n = len(nums)\n        count = 0\n        for num in nums_set:\n            if nums.count(num) == n // 2:\n                return False\n            count += nums.count(num)\n        return count == n",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        nums_set = set(nums)\n        n = len(nums)\n        count = 0\n        for num in nums_set:\n            if nums.count(num) == n // 2:\n                return False\n            count += nums.count(num)\n        return count == n",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        n = len(nums) // 2\n        nums1 = set()\n        nums2 = set()\n        for num in nums:\n            if num in nums1:\n                nums2.add(num)\n            elif num in nums2:\n                nums1.add(num)\n            elif len(nums1) < n:\n                nums1.add(num)\n            else:\n                nums2.add(num)\n            if len(nums1) == n and len(nums2) == n:\n                return True\n        return len(nums1) == n or len(nums2) == n",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        counter = {}\n        for num in nums:\n            counter[num] = counter.get(num, 0) + 1\n\n        nums1_freq = [0] * 101\n        nums2_freq = [0] * 101\n\n        for num, freq in counter.items():\n            if freq == 1:\n                return True\n            elif freq == 2:\n                nums1_freq[num] += 1\n                nums2_freq[num] += 1\n            else:\n                return False\n\n        for i in range(101):\n            if nums1_freq[i] > 1 or nums2_freq[i] > 1:\n                return False\n\n        return True",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        n = len(nums) // 2\n        nums1 = set()\n        nums2 = set()\n        for num in nums:\n            if num in nums1:\n                nums2.add(num)\n            elif num in nums2:\n                nums1.add(num)\n            elif len(nums1) < n:\n                nums1.add(num)\n            else:\n                nums2.add(num)\n            if len(nums1) == n and len(nums2) == n:\n                return True\n        return len(nums1) == n and len(nums2) == n",
                "class Solution:\n    def isPossibleToSplit(self, nums: List[int]) -> bool:\n        counter = {}\n        for num in nums:\n            counter[num] = counter.get(num, 0) + 1\n        \n        nums1_elements = []\n        for num, count in counter.items():\n            if count == 1:\n                nums1_elements.append(num)\n            elif count > 2:\n                return False\n        \n        if len(nums1_elements) != len(nums) / 2:\n            return False\n        \n        nums2_elements = set(nums) - set(nums1_elements)\n        return len(nums2_elements) == len(nums) / 2"
            ],
            "pass1_list": [
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                true,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        dp = [[float('inf')] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            if nums[i] == 1:\n                dp[i + 1][1] = min(dp[i + 1][1], dp[i][0])\n                for j in range(k - 1, -1, -1):\n                    dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + 1)\n            else:\n                for j in range(k):\n                    dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n                    if maxChanges > 0:\n                        dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + 1)\n                maxChanges -= 1\n\n        return dp[n][k]",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        dp = [float('inf')] * (k + 1)\n        dp[0] = 0\n\n        for num in nums:\n            new_dp = [float('inf')] * (k + 1)\n            for i in range(k, num - 1, -1):\n                new_dp[i] = min(new_dp[i], dp[i - 1] + 1)\n                if maxChanges > 0:\n                    new_dp[i - 1] = min(new_dp[i - 1], dp[i] + 1)\n                if num == 1:\n                    new_dp[i - 1] = min(new_dp[i - 1], dp[i])\n            dp = new_dp\n\n        return dp[k]",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        ones_count = nums.count(1)\n        if ones_count >= k:\n            return k\n        \n        maxChanges -= ones_count\n        if maxChanges < 0:\n            return -1\n        \n        dp = [float('inf')] * (n + 2)\n        dp[0] = 0\n        for num in nums:\n            dp[num] = min(dp[num], dp[num - 1] + 1)\n        \n        for i in range(n - 2, -1, -1):\n            dp[i] = min(dp[i], dp[i + 1] + 1)\n        \n        ans = dp[0] + k\n        for i in range(n):\n            if nums[i] == 1:\n                ans = min(ans, dp[i + 1] + k - 1)\n            else:\n                if maxChanges > 0:\n                    ans = min(ans, dp[i + 1] + k)\n                if i > 0 and nums[i - 1] == 1:\n                    ans = min(ans, dp[i] + k - 1)\n                if i < n - 1 and nums[i + 1] == 1:\n                    ans = min(ans, dp[i + 2] + k - 1)\n        \n        return ans",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        ones = sum(nums)\n        if maxChanges + ones < k:\n            return -1\n        if maxChanges >= k:\n            return k\n        \n        dp = [float('inf')] * (n + 2)\n        dp[0] = 0\n        for i in range(n):\n            if nums[i]:\n                dp[i + 1] = min(dp[i + 1], dp[max(0, i - 1)] + 1)\n            else:\n                dp[i + 1] = min(dp[i + 1], dp[i] + 1)\n                if maxChanges:\n                    dp[i + 1] = min(dp[i + 1], dp[i - 1] + 1)\n                    maxChanges -= 1\n        \n        return dp[n] + k",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        ones = sum(nums)\n        if maxChanges + ones < k:\n            return -1\n        if maxChanges >= k:\n            return k\n        \n        dp = [float('inf')] * (n + 2)\n        dp[0] = 0\n        for i in range(n):\n            if nums[i] == 1:\n                dp[i + 1] = min(dp[i + 1], dp[max(0, i - 1)] + 1)\n            else:\n                dp[i + 1] = min(dp[i + 1], dp[i] + 1)\n                if maxChanges > 0:\n                    dp[i + 1] = min(dp[i + 1], dp[max(0, i - 1)] + 2)\n                    maxChanges -= 1\n        \n        return dp[n] + k",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        left, right = 0, 0\n        ones_count = sum(nums)\n\n        while left < right or (left == right and nums[left] == 0):\n            right = (right + 1) % n\n            if nums[right] == 1:\n                ones_count -= 1\n                maxChanges -= 1\n\n            if ones_count == k:\n                break\n\n            left = (left + 1) % n\n            if nums[left] == 0:\n                maxChanges += 1\n                ones_count += 1\n\n        moves = n - max(left, right) + 1\n        return moves + max(0, k - ones_count)",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        left, right = 0, 0\n        moves = 0\n\n        while left < n:\n            while right < n and nums[right] == 0:\n                right += 1\n\n            if right == n:\n                break\n\n            ones = sum(nums[left:right])\n            zeros = right - left - ones\n\n            if ones + maxChanges >= k:\n                moves += k - ones + (zeros - maxChanges)\n                break\n            else:\n                moves += zeros\n                k -= ones\n                maxChanges -= zeros\n                left = right\n\n        return moves",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        left, right = 0, 0\n        while left < n:\n            while right < n and k > 0:\n                if nums[right] == 1:\n                    k -= 1\n                right += 1\n            if k == 0:\n                break\n            left_ones = sum(nums[left:right])\n            maxChanges = min(maxChanges, left_ones)\n            left_ones = min(left_ones, k)\n            moves = right - left - left_ones * 2 + maxChanges\n            k -= left_ones\n            left = right\n        return moves",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        left, right = 0, 0\n        while left < n:\n            while right < n and k > 0:\n                if nums[right] == 1:\n                    k -= 1\n                right += 1\n            if k == 0:\n                break\n            left_ones = nums[left:right].count(1)\n            maxChanges = min(maxChanges, k - 1)\n            moves = right - left - left_ones + maxChanges\n            left = right\n        return moves",
                "class Solution:\n    def minimumMoves(self, nums: List[int], k: int, maxChanges: int) -> int:\n        n = len(nums)\n        left, right = 0, 0\n        ones_count = sum(nums)\n\n        while left < right or (left == right and nums[left] == 0):\n            if right == n - 1:\n                right = n\n            while right < n and ones_count + maxChanges >= k:\n                if nums[right] == 1:\n                    ones_count -= 1\n                right += 1\n            maxChanges -= 1\n            if left == right:\n                left += 1\n                right += 1\n            while left < n and ones_count + maxChanges < k:\n                if nums[left] == 1:\n                    ones_count += 1\n                left += 1\n            if left < n:\n                maxChanges += 1\n\n        moves = n - (right - left)\n        moves += max(0, k - ones_count - max(0, right - left - 1))\n\n        return moves"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, val, res = 0, 1, 0\n        while val < k:\n            count += 1\n            val = (val + count) * 2\n            res += count\n        return res",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, val, res = 0, 1, 0\n        while val < k:\n            count += 1\n            val = (val + count) * 2\n            res += count\n        return res",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k <= 2:\n            return k - 1\n        \n        res = k - 1\n        factor = 1\n        while k % factor != 0:\n            factor += 1\n        \n        k //= factor\n        res = min(res, (k - 1) * factor + (factor - 1))\n        \n        return res",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, sum, i = 0, 1, 1\n        while sum < k:\n            if sum + i <= k:\n                sum += i\n                i += 1\n            else:\n                count += sum // i\n                sum = sum % i * (i + 1)\n                i += 1\n        return count + (i - 1)",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, sum, i = 0, 1, 1\n        while sum < k:\n            i = i + 1\n            count, sum = count + 1, sum + i\n        return count",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k <= 2:\n            return k - 1\n        \n        operations = 0\n        num = 1\n        while num < k:\n            diff = (k - num) // num\n            operations += diff\n            num += diff\n        return operations",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, val, res = 0, 1, 0\n        while val < k:\n            count += 1\n            val = (val + 1) * 2\n            res += count\n        return res",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, sum, res = 0, 1, 0\n        while sum < k:\n            count += 1\n            sum += count\n            res += 1\n        return res",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        count, sum, ops = 1, 1, 0\n        while sum < k:\n            count += 1\n            sum += count\n            ops += 2\n        return ops",
                "class Solution:\n    def minOperations(self, k: int) -> int:\n        if k == 1:\n            return 0\n        result = k\n        for i in range(2, k + 1):\n            temp = (i - 1) * (k // i)\n            if k % i == 0:\n                temp += k // i\n            else:\n                temp += k // i + 1\n            result = min(result, temp)\n        return result"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                common_length = common_prefix(num1, num2)\n                max_common_prefix_length = max(max_common_prefix_length, common_length)\n\n        return max_common_prefix_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def commonPrefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                common_prefix_length = commonPrefix(num1, num2)\n                max_common_prefix_length = max(max_common_prefix_length, common_prefix_length)\n\n        return max_common_prefix_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                common_length = common_prefix(num1, num2)\n                max_common_prefix_length = max(max_common_prefix_length, common_length)\n\n        return max_common_prefix_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix_length(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for x in arr1:\n            for y in arr2:\n                max_common_prefix_length = max(max_common_prefix_length, common_prefix_length(x, y))\n\n        return max_common_prefix_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                length = common_prefix(num1, num2)\n                if length > max_length:\n                    max_length = length\n\n        return max_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                common_length = common_prefix(num1, num2)\n                max_common_prefix_length = max(max_common_prefix_length, common_length)\n\n        return max_common_prefix_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                length = common_prefix(num1, num2)\n                max_length = max(max_length, length)\n\n        return max_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for x in arr1:\n            for y in arr2:\n                common_length = common_prefix(x, y)\n                max_common_prefix_length = max(max_common_prefix_length, common_length)\n\n        return max_common_prefix_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                length = common_prefix(num1, num2)\n                max_length = max(max_length, length)\n\n        return max_length",
                "class Solution:\n    def longestCommonPrefix(self, arr1: List[int], arr2: List[int]) -> int:\n        def common_prefix(num1: int, num2: int) -> int:\n            str1 = str(num1)\n            str2 = str(num2)\n            i = 0\n            while i < min(len(str1), len(str2)) and str1[i] == str2[i]:\n                i += 1\n            return i\n\n        max_common_prefix_length = 0\n        for num1 in arr1:\n            for num2 in arr2:\n                common_length = common_prefix(num1, num2)\n                max_common_prefix_length = max(max_common_prefix_length, common_length)\n\n        return max_common_prefix_length"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        for num in reversed(nums):\n            if num < k:\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        while nums:\n            if nums[0] < k:\n                nums.remove(min(nums))\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        while nums[0] < k:\n            if nums[0] == nums[1]:\n                nums.pop(0)\n            else:\n                break\n            count += 1\n        return count + len(nums) - nums.count(k)",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        for num in nums:\n            if num < k:\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        while nums:\n            if nums[0] < k:\n                nums.remove(min(nums))\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        while nums:\n            if nums[0] < k:\n                nums.remove(min(nums))\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        for num in nums:\n            if num < k:\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        for num in nums:\n            if num < k:\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        for num in nums:\n            if num < k:\n                count += 1\n            else:\n                break\n        return count",
                "class Solution:\n    def minOperations(self, nums: List[int], k: int) -> int:\n        count = 0\n        nums.sort()\n        for i in range(len(nums) - 1, -1, -1):\n            if nums[i] < k:\n                count += 1\n            else:\n                break\n            if i == 0:\n                count += nums.count(nums[i])\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                true,
                false,
                false,
                true,
                true,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n            if total_apples <= 0:\n                break\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n        for i in capacity:\n            total_apples -= i\n            box_count += 1\n            if total_apples <= 0:\n                break\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count",
                "class Solution:\n    def minimumBoxes(self, apple: List[int], capacity: List[int]) -> int:\n        capacity.sort(reverse=True)\n        box_count = 0\n        total_apples = sum(apple)\n\n        for box in capacity:\n            total_apples -= box\n            box_count += 1\n\n            if total_apples <= 0:\n                break\n\n        return box_count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = 0\n        left, right = 0, 0\n\n        while right < len(s):\n            if s[right] == c:\n                count += right - left + 1\n                right += 1\n            else:\n                left += 1\n\n        return count",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = start = 0\n        for i, char in enumerate(s):\n            if char == c:\n                count += i - start + 1\n                start = i\n        return count + 1",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = start = 0\n        for i, char in enumerate(s):\n            if char == c:\n                count += i - start + 1\n                start = i\n        return count + 1",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = 0\n        left, right = 0, 0\n        while right < len(s):\n            if s[right] == c:\n                while left < len(s) and s[left] == c:\n                    left += 1\n                count += left - right\n                right += 1\n            else:\n                right += 1\n                left = right\n        return count",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = 0\n        left, right = 0, 0\n        while right < len(s):\n            if s[right] == c:\n                count += right - left + 1\n                right += 1\n            else:\n                left += 1\n        return count",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = 0\n        left, right = 0, 0\n\n        while right < len(s):\n            if s[right] == c:\n                count += right - left + 1\n                right += 1\n            else:\n                left += 1\n\n        return count",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = 0\n        left, right = 0, 0\n\n        while right < len(s):\n            if s[right] == c:\n                count += right - left + 1\n                right += 1\n            else:\n                left += 1\n\n        return count",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = start = 0\n        for i, char in enumerate(s):\n            if char == c:\n                count += i - start + 1\n                start = i\n        return count + 1",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = 0\n        left, right = 0, 0\n\n        while right < len(s):\n            if s[right] == c:\n                count += right - left + 1\n                right += 1\n            else:\n                left += 1\n                right += 1\n\n        return count",
                "class Solution:\n    def countSubstrings(self, s: str, c: str) -> int:\n        count = start = 0\n        for i, char in enumerate(s):\n            if char == c:\n                count += i + 1\n                start += 1\n            else:\n                count += start\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float('inf')\n        for i in range(len(points)):\n            remaining_points = points[:i] + points[i+1:]\n            min_max_dist = min(min_max_dist, max_distance(remaining_points))\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float(\"inf\")\n        for i in range(len(points)):\n            tmp_points = points[:i] + points[i+1:]\n            min_max_dist = min(min_max_dist, max_distance(tmp_points))\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n\n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n\n        min_max_dist = float(\"inf\")\n        for i in range(len(points)):\n            tmp_points = points[:i] + points[i + 1:]\n            min_max_dist = min(min_max_dist, max_distance(tmp_points))\n\n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n\n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n\n        min_max_dist = float(\"inf\")\n        for i in range(len(points)):\n            dist_without_i = max_distance(points[:i] + points[i + 1:])\n            min_max_dist = min(min_max_dist, dist_without_i)\n\n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float(\"inf\")\n        for i in range(len(points)):\n            tmp_points = points[:i] + points[i+1:]\n            min_max_dist = min(min_max_dist, max_distance(tmp_points))\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float('inf')\n        for i in range(len(points)):\n            remaining_points = points[:i] + points[i+1:]\n            min_max_dist = min(min_max_dist, max_distance(remaining_points))\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float('inf')\n        for i in range(len(points)):\n            tmp_points = points[:i] + points[i+1:]\n            min_max_dist = min(min_max_dist, max_distance(tmp_points))\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float('inf')\n        for i in range(len(points)):\n            dist_without_i = max_distance(points[:i] + points[i+1:])\n            min_max_dist = min(min_max_dist, dist_without_i)\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        def max_distance(points):\n            max_dist = 0\n            for i in range(len(points)):\n                for j in range(i + 1, len(points)):\n                    dist = manhattan_distance(points[i], points[j])\n                    max_dist = max(max_dist, dist)\n            return max_dist\n        \n        min_max_dist = float(\"inf\")\n        for i in range(len(points)):\n            tmp_points = points[:i] + points[i+1:]\n            min_max_dist = min(min_max_dist, max_distance(tmp_points))\n        \n        return min_max_dist",
                "class Solution:\n    def minimumDistance(self, points: List[List[int]]) -> int:\n        def manhattan_distance(p1, p2):\n            return abs(p1[0] - p2[0]) + abs(p1[1] - p2[1])\n        \n        n = len(points)\n        max_dist = 0\n        \n        # Calculate the maximum distance between all pairs of points\n        for i in range(n):\n            for j in range(i + 1, n):\n                dist = manhattan_distance(points[i], points[j])\n                max_dist = max(max_dist, dist)\n        \n        # Calculate the maximum distance after removing each point\n        min_max_dist = max_dist\n        for i in range(n):\n            tmp_max_dist = 0\n            for j in range(n):\n                if i != j:\n                    for k in range(n):\n                        if k != i and k != j:\n                            dist = manhattan_distance(points[j], points[k])\n                            tmp_max_dist = max(tmp_max_dist, dist)\n            min_max_dist = min(min_max_dist, tmp_max_dist)\n        \n        return min_max_dist"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        mod = 10**9 + 7\n\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n                    dp[i][j] %= mod\n\n        return dp[n][k]",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 1\n\n        for i in range(1, n + 1):\n            dp[i][0] = 1\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j] + dp[i - 1][j - nums[i - 1]]\n                dp[i][j] %= 1000000007\n\n        return dp[n][k]",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 1\n\n        for i in range(1, n + 1):\n            dp[i][0] = 1\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j] + dp[i - 1][j - nums[i - 1]]\n                dp[i][j] %= 1000000007\n\n        return dp[n][k]",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        mod = 10**9 + 7\n\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n\n        return dp[n][k] % mod",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        dp[0][0] = 1\n\n        for i in range(1, n + 1):\n            dp[i][0] = 1\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j] + dp[i - 1][j - nums[i - 1]]\n                dp[i][j] %= 1000000007\n\n        return dp[n][k]",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n\n        return dp[n][k] % (10**9 + 7)",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n\n        return dp[n][k] % (10**9 + 7)",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        mod = 10**9 + 7\n\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n                dp[i][j] %= mod\n\n        return dp[n][k]",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        mod = 10**9 + 7\n\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n                dp[i][j] %= mod\n\n        return dp[n][k]",
                "class Solution:\n    def sumOfPower(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        dp = [[0] * (k + 1) for _ in range(n + 1)]\n        for i in range(n + 1):\n            dp[i][0] = 1\n\n        for i in range(1, n + 1):\n            for j in range(1, k + 1):\n                dp[i][j] = dp[i - 1][j]\n                if nums[i - 1] <= j:\n                    dp[i][j] += dp[i - 1][j - nums[i - 1]]\n\n        return dp[n][k] % (10**9 + 7)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        alphabet_dict = {char: idx for idx, char in enumerate(alphabet)}\n\n        def distance(s1, s2):\n            return sum(min(abs(alphabet_dict[s1[i]] - alphabet_dict[s2[i]]), 26 - abs(alphabet_dict[s1[i]] - alphabet_dict[s2[i]])) for i in range(len(s1)))\n\n        if k == 0:\n            return s\n\n        for i in range(len(s) - 1, -1, -1):\n            if k - (alphabet_dict[s[i]] + 1) >= 0:\n                k -= alphabet_dict[s[i]] + 1\n                s = s[:i] + 'a' + s[i + 1:]\n            else:\n                s = s[:i] + alphabet[alphabet_dict[s[i]] - k % 26] + s[i + 1:]\n                break\n\n        return s",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        alphabet_dict = {letter: idx for idx, letter in enumerate(alphabet)}\n\n        def distance(s1, s2):\n            return sum(min(abs(alphabet_dict[c1] - alphabet_dict[c2]), 26 - abs(alphabet_dict[c1] - alphabet_dict[c2])) for c1, c2 in zip(s1, s2))\n\n        s_list = list(s)\n        n = len(s)\n        for i in range(n):\n            s_list[i] = alphabet[0]\n\n        result = ''.join(s_list)\n        remaining_distance = k\n\n        for i in range(n - 1, -1, -1):\n            while remaining_distance > 0:\n                prev_dist = distance(result, s)\n                s_list[i] = alphabet[(alphabet_dict[s_list[i]] + 1) % 26]\n                new_dist = distance(result, s)\n                remaining_distance -= new_dist - prev_dist\n                result = ''.join(s_list)\n                if new_dist > k:\n                    s_list[i] = alphabet[(alphabet_dict[s_list[i]] - 1) % 26]\n                    remaining_distance += new_dist - prev_dist\n                    break\n\n        return result",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        dist = [0] * 26\n        for i in range(1, 26):\n            dist[i] = (dist[i - 1] + alphabet[i - 1] - alphabet[i]) % 26\n\n        def get_distance(ch1, ch2):\n            return dist[alphabet.index(ch2) - alphabet.index(ch1)]\n\n        def is_valid(s, k):\n            total_dist = 0\n            for i in range(len(s)):\n                total_dist += get_distance(s[i], alphabet[i])\n            return total_dist <= k\n\n        result = s\n        for i in range(len(s)):\n            for j in alphabet:\n                s_new = s[:i] + j + s[i + 1:]\n                if is_valid(s_new, k) and s_new < result:\n                    result = s_new\n\n        return result",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        dist = [0] * 26\n        for i in range(1, 26):\n            dist[i] = dist[i - 1] + (26 - i) + i\n        \n        def total_distance(s):\n            return sum(dist[ord(c) - ord('a') - 1] for c in s)\n        \n        def smallest_string(k):\n            if k == 0:\n                return s\n            res = ['a'] * len(s)\n            k -= len(s)\n            for i in range(len(s) - 1, -1, -1):\n                if k <= 0:\n                    break\n                res[i] = chr(ord('a') + (k + i) % 26)\n                k -= 26 - (k + i) % 26\n            return ''.join(res)\n        \n        s = smallest_string(k)\n        while total_distance(s) > k:\n            for i in range(len(s) - 1, -1, -1):\n                if s[i] != 'z':\n                    s = s[:i] + chr(ord(s[i]) - 1) + s[i + 1:]\n                    break\n        \n        return s",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        dist = [0] * 26\n        for i in range(1, 26):\n            dist[i] = dist[i - 1] + (26 - i) + i\n\n        def get_distance(c1, c2):\n            return min(dist[ord(c2) - ord(c1)], dist[ord(c1) - ord(c2)])\n\n        def dfs(index, k):\n            if k < 0:\n                return \"\"\n            if index == len(s):\n                return \"\"\n            min_str = \"z\"\n            min_k = k\n            for c in alphabet:\n                new_k = k - get_distance(s[index], c)\n                if new_k < 0:\n                    continue\n                candidate = dfs(index + 1, new_k)\n                if candidate:\n                    if candidate < min_str or (candidate == min_str and c < min_str[0]):\n                        min_str = c + candidate\n                        min_k = new_k\n            return min_str\n\n        return dfs(0, k)",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        alphabet_dict = {char: idx for idx, char in enumerate(alphabet)}\n        s_list = list(s)\n        n = len(s)\n\n        for i in range(n):\n            s_list[i] = alphabet[(alphabet_dict[s_list[i]] + k) % 26]\n            k -= min(alphabet_dict[s_list[i]], alphabet_dict[s[i]])\n            if k <= 0:\n                break\n\n        return ''.join(s_list)",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        alphabet_dict = {char: idx for idx, char in enumerate(alphabet)}\n\n        def distance(s1, s2):\n            return sum(min(abs(alphabet_dict[s1[i]] - alphabet_dict[s2[i]]), 26 - abs(alphabet_dict[s1[i]] - alphabet_dict[s2[i]])) for i in range(len(s1)))\n\n        s_list = list(s)\n        for i in range(len(s) - 1, -1, -1):\n            if k >= 26:\n                k -= 26\n                s_list[i] = 'a'\n            else:\n                s_list[i] = alphabet[alphabet_dict[s_list[i]] + k]\n                break\n\n        return ''.join(s_list)",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        dist = [0] * 26\n        for i in range(1, 26):\n            dist[i] = (dist[i - 1] + alphabet[i - 1] - alphabet[i]) % 26\n\n        def get_distance(ch1, ch2):\n            return dist[alphabet.index(ch2) - alphabet.index(ch1)]\n\n        def is_valid(s, k):\n            return sum(get_distance(s1, s2) for s1, s2 in zip(s, t)) <= k\n\n        def helper(s, t, k):\n            if is_valid(s, k):\n                return t\n            for i in range(len(t)):\n                if t[i] != 'a':\n                    for j in range(ord('a'), ord(t[i])):\n                        new_char = chr(j)\n                        new_t = t[:i] + new_char + t[i + 1:]\n                        if helper(s, new_t, k):\n                            return new_t\n            return t\n\n        t = list(s)\n        for i in range(len(t)):\n            t[i] = 'a'\n        t = ''.join(t)\n        return helper(s, t, k)",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        dist = [0] * 26\n        for i in range(1, 26):\n            dist[i] = (dist[i - 1] + alphabet[i - 1] - alphabet[i]) % 26\n\n        def get_distance(ch1, ch2):\n            return min(abs(alphabet.index(ch1) - alphabet.index(ch2)), dist[alphabet.index(ch1)] + alphabet.index(ch2), alphabet.index(ch1) + 26 - alphabet.index(ch2))\n\n        def dfs(index, k, string):\n            if k < 0:\n                return\n\n            if index == len(s):\n                result[0] = min(result[0], string, key=lambda x: (x, len(x)))\n                return\n\n            for ch in 'abcdefghijklmnopqrstuvwxyz':\n                new_k = k - get_distance(s[index], ch)\n                if new_k >= 0:\n                    dfs(index + 1, new_k, string + ch)\n\n        result = [s]\n        dfs(0, k, '')\n        return result[0]",
                "class Solution:\n    def getSmallestString(self, s: str, k: int) -> str:\n        alphabet = list('abcdefghijklmnopqrstuvwxyz')\n        dist = [0] * 26\n        for i in range(1, 26):\n            dist[i] = dist[i - 1] + (26 - i) + i\n\n        def min_dist(c1, c2):\n            return min(abs(alphabet.index(c1) - alphabet.index(c2)),\n                      26 - abs(alphabet.index(c1) - alphabet.index(c2)))\n\n        def dfs(idx, k):\n            if k < 0:\n                return \"\"\n            if idx == len(s):\n                return \"\"\n            res = \"z\"\n            for i in range(26):\n                char = alphabet[i]\n                if k >= dist[min_dist(char, s[idx])]:\n                    k -= dist[min_dist(char, s[idx])]\n                    temp = char + dfs(idx + 1, k)\n                    if temp < res:\n                        res = temp\n                    k += dist[min_dist(char, s[idx])]\n            return res\n\n        return dfs(0, k)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2",
                "class Solution:\n    def resultArray(self, nums: List[int]) -> List[int]:\n        arr1, arr2 = [nums[0]], [nums[1]]\n        for i in range(2, len(nums)):\n            if arr1[-1] > arr2[-1]:\n                arr1.append(nums[i])\n            else:\n                arr2.append(nums[i])\n        return arr1 + arr2"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char_count[s[right]] = char_count.get(s[right], 0) + 1\n\n            while char_count[s[right]] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char_count[s[right]] = char_count.get(s[right], 0) + 1\n\n            while char_count[s[right]] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right, char in enumerate(s):\n            char_count[char] = char_count.get(char, 0) + 1\n\n            while char_count[char] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char_count[s[right]] = char_count.get(s[right], 0) + 1\n\n            while char_count[s[right]] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right, char in enumerate(s):\n            char_count[char] = char_count.get(char, 0) + 1\n\n            while char_count[char] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char = s[right]\n            char_count[char] = char_count.get(char, 0) + 1\n\n            while char_count[char] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char = s[right]\n            char_count[char] = char_count.get(char, 0) + 1\n\n            while char_count[char] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char_count[s[right]] = char_count.get(s[right], 0) + 1\n\n            while char_count[s[right]] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char = s[right]\n            char_count[char] = char_count.get(char, 0) + 1\n\n            while char_count[char] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length",
                "class Solution:\n    def maximumLengthSubstring(self, s: str) -> int:\n        max_length = 0\n        left = 0\n        char_count = {}\n\n        for right in range(len(s)):\n            char = s[right]\n            char_count[char] = char_count.get(char, 0) + 1\n\n            while char_count[char] > 2:\n                char_count[s[left]] -= 1\n                left += 1\n\n            max_length = max(max_length, right - left + 1)\n\n        return max_length"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        total_sum = sum(happiness[:k])\n        for i in range(k, n):\n            total_sum += max(0, happiness[i] - i + k - 1)\n        \n        return total_sum",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        happiness = [max(h, 0) for h in happiness]\n        \n        dp = [0] * (k + 1)\n        for i in range(1, k + 1):\n            dp[i] = happiness[i - 1] + dp[i - 1] - (i - 1)\n        \n        return dp[k]",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        total_sum = 0\n        for i in range(k):\n            total_sum += max(0, happiness[i])\n            for j in range(i+1, n):\n                happiness[j] = max(0, happiness[j] - 1)\n        \n        return total_sum",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        happiness = [h for h in happiness if h > 0]\n        n = len(happiness)\n        \n        dp = [0] * (n + 1)\n        for i in range(1, n + 1):\n            dp[i] = max(dp[i - 1], happiness[i - 1] + (i - 1 - k + 1) + dp[max(0, i - k)])\n        \n        return dp[n]",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        total_sum = sum(happiness[:k])\n        for i in range(k, n):\n            total_sum += max(0, happiness[i] - i + k - 1)\n        \n        return total_sum",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == 1:\n            return happiness[0]\n        \n        happiness.sort(reverse=True)\n        \n        dp = [0] * n\n        dp[0] = happiness[0]\n        \n        for i in range(1, n):\n            dp[i] = max(dp[i-1], happiness[i] + dp[i-1] - i)\n        \n        return dp[k-1]",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        happiness.sort(reverse=True)\n\n        total_sum = 0\n        for i in range(k):\n            total_sum += max(0, happiness[i])\n            for j in range(i + 1, n):\n                happiness[j] = max(0, happiness[j] - 1)\n\n        return total_sum",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        total_sum = 0\n        for i in range(k):\n            total_sum += max(0, happiness[i])\n            for j in range(i+1, n):\n                happiness[j] = max(0, happiness[j] - 1)\n        \n        return total_sum",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        total_sum = sum(happiness[:k])\n        for i in range(k, n):\n            total_sum += max(0, happiness[i] - i + k - 1)\n        \n        return total_sum",
                "class Solution:\n    def maximumHappinessSum(self, happiness: List[int], k: int) -> int:\n        n = len(happiness)\n        if n == k:\n            return sum(happiness)\n        \n        happiness.sort(reverse=True)\n        happiness = [h - i for i, h in enumerate(happiness)]\n        \n        return sum(happiness[:k])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1:i - 1:-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False",
                "class Solution:\n    def isSubstringPresent(self, s: str) -> bool:\n        n = len(s)\n        for i in range(n - 1):\n            if s[i:i + 2] in s[n - 1::-1]:\n                return True\n        return False"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        min_value = sum(min(count, 1) for count in letter_counts)\n        result = []\n        used_letters = set()\n\n        for c in s:\n            if c != '?':\n                result.append(c)\n                used_letters.add(c)\n            else:\n                for letter in 'abcdefghijklmnopqrstuvwxyz':\n                    if letter not in used_letters:\n                        letter_counts[ord(letter) - ord('a')] += 1\n                        if sum(min(count, 1) for count in letter_counts) == min_value:\n                            result.append(letter)\n                            used_letters.add(letter)\n                            break\n                        letter_counts[ord(letter) - ord('a')] -= 1\n\n        return \"\".join(result)",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        min_value = sum(min(count, 1) for count in letter_counts)\n        min_str = \"\"\n\n        for i, count in enumerate(letter_counts):\n            if count == 0:\n                min_str += chr(i + ord('a'))\n\n        for c in s:\n            if c != '?':\n                min_str += c\n            else:\n                min_str += 'a'\n\n        return min_str if min_value == 0 else self.helper(s, letter_counts, min_value, min_str)\n\n    def helper(self, s, letter_counts, min_value, min_str):\n        for i in range(len(s)):\n            if s[i] == '?':\n                for c in 'abcdefghijklmnopqrstuvwxyz':\n                    new_letter_counts = letter_counts.copy()\n                    new_letter_counts[ord(c) - ord('a')] += 1\n                    new_min_value = min_value\n                    for j, count in enumerate(new_letter_counts):\n                        if count > 1:\n                            new_min_value += count - 1\n\n                    new_min_str = min_str[:i] + c\n                    for j in range(i + 1, len(s)):\n                        if s[j] != '?':\n                            new_min_str += s[j]\n                        else:\n                            new_min_str += 'a'\n                            for k in range(ord(c) + 1, ord('z') + 1):\n                                if new_letter_counts[k - ord('a')] == 0:\n                                    new_min_str = min_str[:j] + chr(k)\n                                    new_letter_counts[k - ord('a')] += 1\n                                    break\n                            break\n\n                    if new_min_value < min_value or (new_min_value == min_value and new_min_str < min_str):\n                        min_value = new_min_value\n                        min_str = new_min_str\n\n        return min_str",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for i, c in enumerate(s):\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n        \n        result = []\n        for c in s:\n            if c == '?':\n                for j in range(26):\n                    if letter_counts[j] == 0:\n                        result.append(chr(ord('a') + j))\n                        letter_counts[j] = 1\n                        break\n            else:\n                result.append(c)\n        \n        return \"\".join(result)",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        min_value = sum(min(count, 1) for count in letter_counts)\n        min_str = ''.join(chr(ord('a') + i) for i, count in enumerate(letter_counts) if count >= 1)\n\n        for i, c in enumerate(s):\n            if c == '?':\n                letter_counts[ord(min_str[i]) - ord('a')] -= 1\n                letter_counts[ord('a') + i] += 1\n                min_str = min_str[:i] + chr(ord('a') + i) + min_str[i + 1:]\n\n        return min_str",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        result = []\n        for c in s:\n            if c == '?':\n                min_count = float('inf')\n                min_letter = 'z'\n                for i in range(26):\n                    if letter_counts[i] < min_count:\n                        min_count = letter_counts[i]\n                        min_letter = chr(i + ord('a'))\n                result.append(min_letter)\n                letter_counts[ord(min_letter) - ord('a')] += 1\n            else:\n                result.append(c)\n\n        return ''.join(result)",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        min_value = sum(min(count, 1) for count in letter_counts)\n        min_string = ''.join(chr(ord('a') + i) for i, count in enumerate(letter_counts) if count >= 1)\n\n        for i, c in enumerate(s):\n            if c == '?':\n                letter_counts[ord(min_string[i]) - ord('a')] -= 1\n                letter_counts[ord('a') + i] += 1\n                min_string = min_string[:i] + chr(ord('a') + i) + min_string[i + 1:]\n\n        return min_string",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        cost = 0\n        result = []\n\n        for ch in s:\n            if ch != '?':\n                count = letter_counts[ord(ch) - ord('a')]\n                cost += count\n                letter_counts[ord(ch) - ord('a')] += 1\n            else:\n                min_cost_letter = 'a'\n                min_cost = float('inf')\n                for i in range(26):\n                    letter = chr(ord('a') + i)\n                    count = letter_counts[i]\n                    if count < min_cost:\n                        min_cost = count\n                        min_cost_letter = letter\n                letter_counts[ord(min_cost_letter) - ord('a')] += 1\n                cost += 1\n            result.append(min_cost_letter)\n\n        return ''.join(result)",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        min_value = sum(min(count, 1) for count in letter_counts)\n        min_str = ''.join(chr(ord('a') + i) for i, count in enumerate(letter_counts) if count >= 1)\n\n        for i, c in enumerate(s):\n            if c == '?':\n                letter_counts[ord(min_str[i]) - ord('a')] -= 1\n                letter_counts[ord('a') + i] += 1\n                min_str = min_str[:i] + chr(ord('a') + i) + min_str[i + 1:]\n\n        return min_str",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        min_value = sum(min(count, 1) for count in letter_counts)\n        min_str = ''.join(chr(ord('a') + i) for i in range(26) if letter_counts[i] > 0)\n\n        for i, c in enumerate(s):\n            if c == '?':\n                letter_counts[ord(min_str[i]) - ord('a')] -= 1\n                min_str = min_str[:i] + 'a' + min_str[i + 1:]\n                for j in range(i + 1, len(s)):\n                    if s[j] != '?' and s[j] != min_str[j]:\n                        break\n                    if s[j] == '?' and letter_counts[ord(min_str[j]) - ord('a')] > 0:\n                        letter_counts[ord(min_str[j]) - ord('a')] -= 1\n                        min_str = min_str[:j] + min_str[j] + min_str[j + 1:]\n                    else:\n                        for k in range(25, -1, -1):\n                            if letter_counts[k] > 0:\n                                letter_counts[k] -= 1\n                                min_str = min_str[:j] + chr(ord('a') + k) + min_str[j + 1:]\n                                break\n                break\n\n        return min_str",
                "class Solution:\n    def minimizeStringValue(self, s: str) -> str:\n        letter_counts = [0] * 26\n        for c in s:\n            if c != '?':\n                letter_counts[ord(c) - ord('a')] += 1\n\n        result = []\n        for c in s:\n            if c == '?':\n                for i in range(26):\n                    if letter_counts[i] == 0:\n                        result.append(chr(i + ord('a')))\n                        letter_counts[i] = 1\n                        break\n            else:\n                result.append(c)\n\n        return \"\".join(result)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * n\n        bob_points[-1] = possible[-1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        alice_points[0] = possible[0]\n        for i in range(1, n):\n            alice_points[i] = alice_points[i - 1] + possible[i]\n        \n        for i in range(1, n):\n            if alice_points[i - 1] > bob_points[i]:\n                return i\n        \n        return -1",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points <= 0:\n            return -1\n        \n        left_points = [0] * n\n        right_points = [0] * n\n        \n        left_sum = 0\n        for i in range(n):\n            left_sum += possible[i]\n            left_points[i] = left_sum\n        \n        right_sum = 0\n        for i in range(n - 1, -1, -1):\n            right_sum += possible[i]\n            right_points[i] = right_sum\n        \n        alice_max_points = 0\n        for i in range(1, n):\n            alice_points = left_points[i - 1] + right_points[i] - 1\n            bob_points = total_points - alice_points - 2\n            if alice_points > bob_points:\n                alice_max_points = max(alice_max_points, alice_points)\n        \n        if alice_max_points <= 0:\n            return -1\n        return min(i + 1 for i in range(1, n) if alice_max_points == left_points[i - 1] + right_points[i] - 1)",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points < 2:\n            return -1\n        \n        bob_points = [0] * n\n        bob_points[-1] = possible[-1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        alice_points[0] = possible[0]\n        for i in range(1, n):\n            alice_points[i] = alice_points[i - 1] + possible[i]\n        \n        min_levels = n\n        for i in range(1, n):\n            if alice_points[i - 1] > bob_points[i]:\n                min_levels = i\n                break\n        \n        return min_levels",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * n\n        bob_points[-1] = possible[-1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        alice_points[0] = possible[0]\n        for i in range(1, n):\n            alice_points[i] = alice_points[i - 1] + possible[i]\n        \n        min_levels = n\n        for i in range(n - 1):\n            if alice_points[i] > bob_points[i + 1]:\n                min_levels = i\n                break\n        \n        return min_levels + 1",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * n\n        bob_points[-1] = possible[-1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        alice_points[0] = possible[0]\n        for i in range(1, n):\n            alice_points[i] = alice_points[i - 1] + possible[i]\n        \n        for i in range(n - 1):\n            if alice_points[i] > bob_points[i + 1]:\n                return i + 1\n        \n        return -1",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * (n + 1)\n        bob_points[n - 1] = possible[n - 1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        alice_points[0] = possible[0]\n        for i in range(1, n):\n            alice_points[i] = alice_points[i - 1] + possible[i]\n        \n        min_levels = n\n        for i in range(n - 1):\n            if alice_points[i] > bob_points[i + 1]:\n                min_levels = i + 1\n                break\n        \n        return min_levels",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * (n + 1)\n        for i in range(n - 1, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_min_levels = n\n        for i in range(n):\n            if bob_points[i + 1] < (i + 1) - bob_points[i + 1]:\n                alice_min_levels = i\n                break\n        \n        return alice_min_levels + 1",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        if total_points < 2:\n            return -1\n\n        bob_points = [0] * (n + 1)\n        bob_points[-1] = total_points\n        for i in range(n - 2, -1, -1):\n            if possible[i]:\n                bob_points[i] = bob_points[i + 1] - 2\n\n        alice_points = [0] * n\n        for i in range(n):\n            if possible[i]:\n                alice_points[i] = 1\n            if i > 0:\n                alice_points[i] += alice_points[i - 1]\n\n        for i in range(n - 1):\n            if alice_points[i] > bob_points[i + 1]:\n                return i + 1\n\n        return -1",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        \n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * n\n        bob_points[-1] = possible[-1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        alice_points[0] = possible[0]\n        for i in range(1, n):\n            alice_points[i] = alice_points[i - 1] + possible[i]\n        \n        for i in range(n - 1):\n            if alice_points[i] > bob_points[i + 1]:\n                return i + 1\n        \n        return -1",
                "class Solution:\n    def minimumLevels(self, possible: List[int]) -> int:\n        n = len(possible)\n        total_points = sum(possible)\n        \n        if total_points <= 0:\n            return -1\n        \n        bob_points = [0] * n\n        bob_points[-1] = possible[-1]\n        for i in range(n - 2, -1, -1):\n            bob_points[i] = bob_points[i + 1] + possible[i]\n        \n        alice_points = [0] * n\n        for i in range(n):\n            alice_points[i] = possible[i] - bob_points[i]\n        \n        min_levels = n\n        for i in range(n):\n            if alice_points[i] > 0:\n                min_levels = i\n                break\n        \n        return min_levels + 1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            n = len(s)\n            for i in range(n, 0, -1):\n                for string in strings:\n                    if i <= len(string) and s[i-1] in string[len(string)-i:]:\n                        break\n                else:\n                    return s[:i]\n            return \"\"\n\n        answer = []\n        for s in arr:\n            strings = arr.copy()\n            strings.remove(s)\n            answer.append(find_shortest_unique_substring(s, strings))\n        return answer",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            for i in range(len(s), 0, -1):\n                for sub in (s[j:j+i] for j in range(len(s) - i + 1)):\n                    if all(sub not in other for other in strings if other != s):\n                        return sub\n            return \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            n = len(s)\n            for i in range(n, 0, -1):\n                for string in strings:\n                    if i <= len(string) and s[:i] in string:\n                        break\n                else:\n                    return s[:i]\n            return \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            unique_substrings = []\n            for i in range(len(s)):\n                for j in range(i + 1, len(s) + 1):\n                    substring = s[i:j]\n                    if all(substring not in other for other in strings if other != s) and (not unique_substrings or len(substring) < len(unique_substrings[0]) or (len(substring) == len(unique_substrings[0]) and substring < unique_substrings[0])):\n                        unique_substrings = [substring]\n                    elif all(substring not in other for other in strings if other != s) and substring < unique_substrings[0]:\n                        unique_substrings.insert(0, substring)\n            return unique_substrings[0] if unique_substrings else \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            for i in range(len(s), 0, -1):\n                for sub in (s[j:j+i] for j in range(len(s) - i + 1)):\n                    if all(sub not in other for other in strings if other != s):\n                        return sub\n            return \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            for i in range(len(s), 0, -1):\n                for sub in (s[j:j+i] for j in range(len(s) - i + 1)):\n                    if all(sub not in other for other in strings if other != s):\n                        return sub\n            return \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            for i in range(len(s), 0, -1):\n                for sub in (s[j:j+i] for j in range(len(s) - i + 1)):\n                    if all(sub not in other for other in strings if other != s):\n                        return sub\n            return \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, other_strings):\n            n = len(s)\n            unique_substrings = []\n            for i in range(n):\n                for j in range(i + 1, n + 1):\n                    substring = s[i:j]\n                    if all(substring not in other_string for other_string in other_strings):\n                        unique_substrings.append(substring)\n            return min(unique_substrings, key=len or s)\n\n        return [find_shortest_unique_substring(s, [other_s for other_s in arr if other_s != s]) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, strings):\n            for i in range(len(s), 0, -1):\n                for sub in (s[j:j+i] for j in range(len(s) - i + 1)):\n                    if all(sub not in other for other in strings if other != s):\n                        return sub\n            return \"\"\n\n        return [find_shortest_unique_substring(s, arr) for s in arr]",
                "class Solution:\n    def shortestSubstrings(self, arr: List[str]) -> List[str]:\n        def find_shortest_unique_substring(s, other_strings):\n            n = len(s)\n            unique_substrings = []\n\n            for i in range(n):\n                for j in range(i + 1, n + 1):\n                    substr = s[i:j]\n                    if all(substr not in other_str for other_str in other_strings):\n                        unique_substrings.append(substr)\n\n            unique_substrings.sort(key=len)\n            return unique_substrings[0] if unique_substrings else \"\"\n\n        return [find_shortest_unique_substring(s, [other_s for other_s in arr if other_s != s]) for s in arr]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        letter_freq = {}\n        for letter in word:\n            if letter not in letter_freq:\n                letter_freq[letter] = 1\n            else:\n                letter_freq[letter] += 1\n\n        freq_counts = {}\n        for freq in letter_freq.values():\n            if freq not in freq_counts:\n                freq_counts[freq] = 1\n            else:\n                freq_counts[freq] += 1\n\n        max_freq = max(letter_freq.values())\n        min_deletions = float('inf')\n\n        for target_freq in range(max_freq, max(max_freq - k, 1) - 1, -1):\n            deletions = 0\n            for freq, count in freq_counts.items():\n                if freq > target_freq:\n                    deletions += freq - target_freq\n                elif freq < target_freq and target_freq - k <= freq:\n                    deletions += count\n            min_deletions = min(min_deletions, deletions)\n\n        return min_deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        freq = [0] * 26\n        count = [0] * 26\n        for c in word:\n            freq[ord(c) - ord('a')] += 1\n\n        for i in range(26):\n            if freq[i] > 0:\n                count[i % 26] += 1\n\n        deletions = 0\n        for i in range(26):\n            if count[i] > 0 and count[i] - count[(i + k) % 26] > 0:\n                deletions += count[i] - count[(i + k) % 26]\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        letter_freq = {}\n        for letter in word:\n            if letter not in letter_freq:\n                letter_freq[letter] = 1\n            else:\n                letter_freq[letter] += 1\n\n        freq_list = list(letter_freq.values())\n        freq_list.sort()\n\n        deletions = 0\n        while freq_list and freq_list[-1] - freq_list[0] > k:\n            deletions += 1\n            freq_list[-1] -= 1\n            freq_list.sort()\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        freq = [0] * 26\n        count = [0] * 26\n        for c in word:\n            freq[ord(c) - ord('a')] += 1\n\n        for i in range(26):\n            if freq[i] > 0:\n                count[i % 26] += 1\n\n        deletions = 0\n        for i in range(26):\n            if count[i] > 0 and count[i] - count[(i + k) % 26] > 0:\n                deletions += count[i] - count[(i + k) % 26]\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        freq = [0] * 26\n        count = [0] * 26\n        for c in word:\n            freq[ord(c) - ord('a')] += 1\n\n        for i, f in enumerate(freq):\n            count[i] = (f + k) // (k + 1)\n\n        deletions = sum(freq) - sum(count)\n        for c in word:\n            idx = ord(c) - ord('a')\n            if freq[idx] > count[idx]:\n                deletions -= 1\n                freq[idx] -= 1\n                if freq[idx] == count[idx]:\n                    deletions += 1\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        letter_freq = {}\n        for letter in word:\n            if letter not in letter_freq:\n                letter_freq[letter] = 1\n            else:\n                letter_freq[letter] += 1\n\n        freq_counts = {}\n        for freq in letter_freq.values():\n            if freq not in freq_counts:\n                freq_counts[freq] = 1\n            else:\n                freq_counts[freq] += 1\n\n        deletions = 0\n        for freq, count in freq_counts.items():\n            min_freq = max(0, int(freq - k))\n            max_freq = int(freq + k)\n            if min_freq != max_freq:\n                deletions += count * (freq - min_freq)\n                freq_counts[min_freq] = freq_counts.get(min_freq, 0) + count\n                freq_counts[max_freq] = freq_counts.get(max_freq, 0) + count\n\n        max_freq_count = max(freq_counts.values())\n        deletions += len(word) - max_freq_count\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        freq = [0] * 26\n        count = [0] * 26\n        for c in word:\n            freq[ord(c) - ord('a')] += 1\n\n        for i in range(26):\n            if freq[i] > 0:\n                count[i % (k + 1)] += 1\n\n        deletions = 0\n        for i in range(26):\n            if count[i] > 0:\n                deletions += (count[i] - 1) * (k + 1)\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        freq = [0] * 26\n        count = [0] * 26\n        for c in word:\n            freq[ord(c) - ord('a')] += 1\n\n        for i in range(26):\n            if freq[i] > 0:\n                count[i % (k + 1)] += 1\n\n        deletions = sum(freq)\n        for i in range(k + 1):\n            deletions -= max(count[i], 1)\n\n        return sum(freq) - max(count)",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        freq = [0] * 26\n        count = [0] * 26\n        for c in word:\n            freq[ord(c) - ord('a')] += 1\n\n        for i in range(26):\n            if freq[i] > 0:\n                count[i % 26] += 1\n\n        deletions = 0\n        for i in range(26):\n            if count[i] > 0 and count[i] - count[(i + k) % 26] > 0:\n                deletions += count[i] - count[(i + k) % 26]\n\n        return deletions",
                "class Solution:\n    def minimumDeletions(self, word: str, k: int) -> int:\n        letter_freq = {}\n        for letter in word:\n            if letter not in letter_freq:\n                letter_freq[letter] = 1\n            else:\n                letter_freq[letter] += 1\n\n        freq_counts = {}\n        for freq in letter_freq.values():\n            if freq - k in freq_counts:\n                freq_counts[freq - k] += 1\n            if freq + k in freq_counts:\n                freq_counts[freq + k] += 1\n            if freq not in freq_counts:\n                freq_counts[freq] = 1\n\n        min_deletions = float('inf')\n        for target_freq in range(min(letter_freq.values()), max(letter_freq.values()) + k + 1):\n            deletions = 0\n            if target_freq in freq_counts:\n                deletions += freq_counts[target_freq]\n            if target_freq - k in freq_counts:\n                deletions -= freq_counts[target_freq - k]\n            if target_freq + k in freq_counts:\n                deletions -= freq_counts[target_freq + k]\n            min_deletions = min(min_deletions, deletions)\n\n        return min_deletions"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, chars):\n            for i in range(len(s)):\n                if s[i] == '?':\n                    s = s[:i] + chars[0] + s[i+1:]\n                    chars = chars[1:]\n            return s, chars\n\n        chars = ['9', '8', '7', '6', '5', '4', '3', '2', '1', '0']\n        s, chars = replace_chars(s[:2], chars.copy())\n        s, chars = replace_chars(s[3:], chars.copy())\n        return s",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, i, chars):\n            for c in chars:\n                if s[i] == '?' or int(s[i]) < c:\n                    return c\n            return s[i]\n\n        res = s\n        for i in range(4):\n            if s[i] == '?':\n                if i < 2:\n                    chars = list(map(str, range(10, 0, -1)))\n                else:\n                    chars = list(map(str, range(60, 0, -1)))\n                for c in chars:\n                    new_s = s[:i] + c + s[i + 1:]\n                    if int(new_s[:2]) <= 11 and int(new_s[3:]) <= 59:\n                        res = max(res, new_s, key=lambda x: (x[:2], x[3:]))\n        return res",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, index, chars):\n            for c in chars:\n                if s[index] == '?':\n                    s = s[:index] + c + s[index + 1:]\n                    if self.is_valid_time(s):\n                        return replace_chars(s, index - 1, chars)\n                    else:\n                        return s\n            return s\n\n        chars = ['9', '4', '3', '2', '1', '0']\n        s = replace_chars(s, 3, chars)\n        s = replace_chars(s, 1, chars)\n        s = replace_chars(s, 0, chars)\n\n        return s\n\n    def is_valid_time(self, s):\n        hour, minute = map(int, s.split(\":\"))\n        return 0 <= hour <= 11 and 0 <= minute <= 59",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, index, chars):\n            for c in chars:\n                new_s = list(s)\n                new_s[index] = c\n                s = ''.join(new_s)\n                if self.is_valid_time(s):\n                    return s\n            return None\n\n        def is_valid_time(s):\n            hours, minutes = map(int, s.split(\":\"))\n            return 0 <= hours <= 11 and 0 <= minutes <= 59\n\n        if is_valid_time(s):\n            return s\n\n        hour, minute = s[:2], s[3:]\n\n        if \"?\" in hour:\n            hour = replace_chars(hour, hour.find(\"?\"), [\"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"9\"])\n\n        if \"?\" in minute:\n            minute = replace_chars(minute, minute.find(\"?\"), [\"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"9\"])\n\n        if \"?\" in hour or \"?\" in minute:\n            hour = replace_chars(hour, hour.find(\"?\"), [\"9\"])\n            minute = replace_chars(minute, minute.find(\"?\"), [\"9\", \"5\", \"4\"])\n\n        if \"?\" in hour or \"?\" in minute:\n            hour = replace_chars(hour, hour.find(\"?\"), [\"1\"])\n            minute = replace_chars(minute, minute.find(\"?\"), [\"9\", \"5\"])\n\n        return hour + \":\" + minute",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_question_marks(s: str, max_val: int) -> str:\n            result = []\n            for c in s:\n                if c == '?':\n                    result.append(str(max_val))\n                    max_val = 0\n                else:\n                    result.append(c)\n            return \"\".join(result)\n\n        hours, minutes = s[:2], s[3:]\n        return replace_question_marks(hours, 1 if hours != \"1?\" else 9) + \":\" + replace_question_marks(minutes, 5 if minutes != \"5?\" else 9)",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, index, chars):\n            for c in chars:\n                new_s = list(s)\n                new_s[index] = c\n                s = ''.join(new_s)\n                if self.is_valid_time(s):\n                    return s\n            return None\n\n        def is_valid_time(s):\n            hours, minutes = map(int, s.split(\":\"))\n            return 0 <= hours <= 11 and 0 <= minutes <= 59\n\n        if is_valid_time(s):\n            return s\n\n        hour, minute = s[:2], s[3:]\n\n        if \"?\" in hour:\n            hour = replace_chars(hour, hour.find(\"?\"), [\"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"9\"])\n\n        if \"?\" in minute:\n            minute = replace_chars(minute, minute.find(\"?\"), [\"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"9\"])\n\n        if \"?\" in hour:\n            hour = replace_chars(hour, hour.find(\"?\"), [\"9\"])\n\n        if \"?\" in minute:\n            minute = replace_chars(minute, minute.find(\"?\"), [\"9\"])\n\n        return hour + \":\" + minute",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, index, chars):\n            for c in chars:\n                new_s = list(s)\n                new_s[index] = c\n                s = ''.join(new_s)\n                yield s\n\n        hours, minutes = s[:2], s[3:]\n        hour_chars = ['0', '1', '2', '9'] if hours == '1?' or hours == '?1' else ['0', '1', '2', '3', '9']\n        minute_chars = ['0', '1', '2', '3', '4', '5', '6', '9'] if len(minutes) == 3 else ['5', '6', '9']\n\n        for hour in replace_chars(hours, hours.index('?'), hour_chars):\n            for minute in replace_chars(minutes, minutes.index('?'), minute_chars):\n                if 0 <= int(hour) <= 11 and 0 <= int(minute) <= 59:\n                    latest_time = hour + ':' + minute\n                    return latest_time",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, chars):\n            result = []\n            for c in s:\n                if c == \"?\":\n                    result.append(chars.pop())\n                else:\n                    result.append(c)\n            return \"\".join(result)\n\n        digits = list(\"9543210\")\n        s = list(s)\n        hours = replace_chars(s[:2], digits)\n        minutes = replace_chars(s[3:], digits)\n\n        if int(hours) > 11:\n            hours = \"11\"\n            minutes = \"59\"\n\n        return f\"{hours}:{minutes}\"",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, chars):\n            result = []\n            for c in s:\n                if c == \"?\":\n                    result.append(chars.pop())\n                else:\n                    result.append(c)\n            return \"\".join(result)\n\n        hours, minutes = s[:2], s[3:]\n        if \"?\" in hours:\n            hours = replace_chars(hours, [\"9\", \"1\"])\n        else:\n            hours = replace_chars(hours, [])\n        if int(hours) > 1:\n            hours = \"00\"\n        if \"?\" in minutes:\n            minutes = replace_chars(minutes, [\"9\", \"5\"])\n        else:\n            minutes = replace_chars(minutes, [])\n        if int(minutes) > 5:\n            minutes = \"59\"\n        return \"{}:{}\".format(hours, minutes)",
                "class Solution:\n    def findLatestTime(self, s: str) -> str:\n        def replace_chars(s, index, chars):\n            for c in chars:\n                new_s = list(s)\n                new_s[index] = c\n                s = ''.join(new_s)\n                yield s\n\n        hours, minutes = s[:2], s[3:]\n        hour_chars = ['0', '1', '2', '9'] if hours == '1?' else ['0', '1', '2', '3', '9']\n        minute_chars = ['0', '1', '2', '3', '4', '5', '6', '9'] if len(minutes) == 2 else ['9']\n\n        max_time = '00:00'\n        for h in replace_chars(hours, 1, hour_chars):\n            for m in replace_chars(minutes, 0, minute_chars):\n                time = h + ':' + m\n                if time >= max_time and time <= '11:59':\n                    max_time = time\n\n        return max_time"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n        \n        n = len(nums)\n        uniqueness = [0] * (n * (n + 1) // 2)\n        idx = 0\n        \n        for i in range(n):\n            for j in range(i, n):\n                uniqueness[idx] = count_distinct(i, j)\n                idx += 1\n        \n        uniqueness.sort()\n        return uniqueness[len(uniqueness) // 2]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n        \n        n = len(nums)\n        uniqueness = [0] * (n * (n + 1) // 2)\n        idx = 0\n        \n        for i in range(n):\n            for j in range(i, n):\n                uniqueness[idx] = count_distinct(i, j)\n                idx += 1\n        \n        uniqueness.sort()\n        return uniqueness[len(uniqueness) // 2]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n        \n        n = len(nums)\n        uniqueness_arr = [count_distinct(0, i) for i in range(n)]\n        for i in range(1, n):\n            for j in range(n - i):\n                uniqueness_arr.append(count_distinct(j, j + i))\n        \n        uniqueness_arr.sort()\n        return uniqueness_arr[len(uniqueness_arr) // 2]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n\n        n = len(nums)\n        uniqueness = [0] * (n * (n + 1) // 2)\n        idx = 0\n\n        for i in range(n):\n            for j in range(i, n):\n                uniqueness[idx] = count_distinct(i, j)\n                idx += 1\n\n        uniqueness.sort()\n        med_idx = len(uniqueness) // 2\n        return uniqueness[med_idx] if len(uniqueness) % 2 == 1 else uniqueness[med_idx - 1]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        n = len(nums)\n        left, right = 1, n\n\n        while left < right:\n            mid = (left + right) // 2\n            distinct_counts = [0] * (n + 1)\n            max_distinct = 0\n\n            for i in range(n):\n                if nums[i] >= mid:\n                    max_distinct += 1\n                distinct_counts[max_distinct] += 1\n                if distinct_counts[max_distinct] == mid:\n                    max_distinct += 1\n\n            if sum(distinct_counts[:mid]) >= (n * (n + 1)) // 2:\n                right = mid\n            else:\n                left = mid + 1\n\n        return left",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def distinct_elements(i, j):\n            return len(set(nums[i:j + 1]))\n\n        n = len(nums)\n        uniqueness_array = [distinct_elements(0, i) for i in range(n)]\n\n        for i in range(1, n):\n            for j in range(n - i):\n                uniqueness_array.append(distinct_elements(j, j + i))\n\n        uniqueness_array.sort()\n\n        mid = len(uniqueness_array) // 2\n        return uniqueness_array[mid] if len(uniqueness_array) % 2 == 1 else uniqueness_array[mid - 1]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n        \n        n = len(nums)\n        uniqueness_array = [count_distinct(i, i) for i in range(n)]\n        for length in range(1, n):\n            for i in range(n - length):\n                j = i + length\n                uniqueness_array.append(count_distinct(i, j))\n        \n        uniqueness_array.sort()\n        mid = len(uniqueness_array) // 2\n        return uniqueness_array[mid] if len(uniqueness_array) % 2 == 1 else min(uniqueness_array[mid-1:mid+1])",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n\n        n = len(nums)\n        uniqueness = [0] * (n * (n + 1) // 2)\n        idx = 0\n\n        for i in range(n):\n            for j in range(i, n):\n                uniqueness[idx] = count_distinct(i, j)\n                idx += 1\n\n        uniqueness.sort()\n        return uniqueness[len(uniqueness) // 2]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n        \n        n = len(nums)\n        uniqueness = [0] * (n * (n + 1) // 2)\n        idx = 0\n        \n        for i in range(n):\n            for j in range(i, n):\n                uniqueness[idx] = count_distinct(i, j)\n                idx += 1\n        \n        uniqueness.sort()\n        return uniqueness[len(uniqueness) // 2]",
                "class Solution:\n    def medianOfUniquenessArray(self, nums: List[int]) -> int:\n        def count_distinct(i, j):\n            return len(set(nums[i:j+1]))\n\n        n = len(nums)\n        uniqueness = [0] * (n * (n + 1) // 2)\n\n        idx = 0\n        for i in range(n):\n            for j in range(i, n):\n                uniqueness[idx] = count_distinct(i, j)\n                idx += 1\n\n        uniqueness.sort()\n        return uniqueness[len(uniqueness) // 2]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        count_dict = {}\n        ans = []\n        for i in range(len(nums)):\n            count_dict[nums[i]] = count_dict.get(nums[i], 0) + freq[i]\n            max_freq = max(count_dict.values(), default=0)\n            ans.append(max_freq)\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        count_dict = {}\n        ans = []\n        for i in range(len(nums)):\n            count_dict[nums[i]] = count_dict.get(nums[i], 0) + freq[i]\n            max_freq = max(count_dict.values(), default=0)\n            ans.append(max_freq)\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        count_dict = {}\n        ans = []\n        for i in range(len(nums)):\n            count_dict[nums[i]] = count_dict.get(nums[i], 0) + freq[i]\n            max_freq = max(count_dict.values(), default=0)\n            ans.append(max_freq)\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_count = {}\n        ans = []\n        count = 0\n\n        for i in range(len(nums)):\n            id_count[nums[i]] = id_count.get(nums[i], 0) + freq[i]\n            if id_count[nums[i]] == 0:\n                del id_count[nums[i]]\n            count = max(count, id_count.get(nums[i], 0)) if id_count else 0\n            ans.append(count)\n\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_count = {}\n        ans = []\n        n = len(nums)\n\n        for i in range(n):\n            id_count[nums[i]] = id_count.get(nums[i], 0) + freq[i]\n            max_freq = max(id_count.values(), default=0)\n            ans.append(max_freq)\n\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_count = {}\n        ans = []\n        count = 0\n\n        for i in range(len(nums)):\n            id_count[nums[i]] = id_count.get(nums[i], 0) + freq[i]\n            if id_count[nums[i]] == 0:\n                del id_count[nums[i]]\n            count = max(count, id_count.get(nums[i], 0)) if id_count else 0\n            ans.append(count)\n\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_freq = {}\n        ans = []\n        for i in range(len(nums)):\n            id_freq[nums[i]] = id_freq.get(nums[i], 0) + freq[i]\n            max_freq = max(id_freq.values(), default=0)\n            ans.append(max_freq)\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_count = {}\n        ans = []\n        n = len(nums)\n\n        for i in range(n):\n            id_count[nums[i]] = id_count.get(nums[i], 0) + freq[i]\n            max_freq = max(id_count.values(), default=0)\n            ans.append(max_freq)\n\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_count = {}\n        ans = []\n        count = 0\n\n        for i in range(len(nums)):\n            count += freq[i]\n            if count == 0:\n                ans.append(0)\n                continue\n\n            id_count[nums[i]] = id_count.get(nums[i], 0) + freq[i] * (count // freq[i])\n            max_freq = max(id_count.values(), default=0)\n            ans.append(max_freq)\n\n        return ans",
                "class Solution:\n    def mostFrequentIDs(self, nums: List[int], freq: List[int]) -> List[int]:\n        id_count = {}\n        ans = []\n        n = len(nums)\n\n        for i in range(n):\n            id_count[nums[i]] = id_count.get(nums[i], 0) + freq[i]\n            max_freq = max(list(id_count.values()) + [0])\n            ans.append(max_freq)\n\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            cur = 0\n            for j in range(i, -1, -1):\n                cur |= nums[j]\n                if j == 0 or nums[j - 1] & cur != cur:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + cur)\n\n        for i in range(m):\n            cur = andValues[i]\n            for j in range(n):\n                if j == 0 or nums[j - 1] & cur != cur:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + cur)\n\n        return dp[n] if dp[n] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [[float('inf')] * (m + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(m):\n                if nums[i] & andValues[j] == andValues[j]:\n                    dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + nums[i])\n                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n\n        return dp[n][m] if dp[n][m] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                nums[j] &= nums[i]\n                dp[i + 1] = min(dp[i + 1], dp[j] + nums[i])\n\n        for i in range(n - 1, -1, -1):\n            for val in andValues:\n                if nums[i] & val == val:\n                    dp[i] = min(dp[i], dp[i + 1] + val)\n\n        return dp[0] if dp[0] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            cur = 0\n            for j in range(i, -1, -1):\n                cur &= nums[j]\n                if j == i:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + nums[j])\n                else:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + nums[j] - cur + (cur & andValues[nums.index(cur) - 1]))\n\n        return dp[n] if dp[n] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [[float('inf')] * (m + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(m):\n                if nums[i] & andValues[j] != andValues[j]:\n                    continue\n                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + nums[i])\n                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n\n        return dp[n][m] if dp[n][m] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [[float('inf')] * (m + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            for j in range(m):\n                if nums[i] & andValues[j] != andValues[j]:\n                    continue\n                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + nums[i])\n                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n\n        return dp[n][m] if dp[n][m] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                nums[j] &= nums[i]\n                dp[j + 1] = min(dp[j + 1], dp[j] + nums[i])\n\n        res = float('inf')\n        for i in range(n - m + 1):\n            and_ = 0\n            for j in range(m):\n                and_ |= andValues[j]\n                if nums[i + j] != and_:\n                    break\n            else:\n                res = min(res, dp[i + m] + and_)\n\n        return res if res != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                nums[j] &= nums[i]\n                dp[i + 1] = min(dp[i + 1], dp[j] + nums[i])\n\n        for i in range(m):\n            for j in range(n):\n                if nums[j] == andValues[i]:\n                    dp[j + 1] = min(dp[j + 1], dp[j] + andValues[i])\n\n        return dp[n] if dp[n] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [[float('inf')] * (m + 1) for _ in range(n + 1)]\n        dp[0][0] = 0\n\n        for i in range(n):\n            cur = 0\n            for j in range(i, -1, -1):\n                cur |= nums[j]\n                for k in range(m):\n                    if andValues[k] == (cur & nums[j]):\n                        dp[j][k + 1] = min(dp[j][k + 1], dp[i + 1][k] + nums[j])\n\n        return dp[0][m] if dp[0][m] != float('inf') else -1",
                "class Solution:\n    def minimumValueSum(self, nums: List[int], andValues: List[int]) -> int:\n        n, m = len(nums), len(andValues)\n        dp = [float('inf')] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            for j in range(i, -1, -1):\n                nums[j] &= nums[i]\n                dp[i + 1] = min(dp[i + 1], dp[j] + nums[i])\n\n        for i in range(n - 1, -1, -1):\n            for val in andValues:\n                if nums[i] & val == val:\n                    dp[i] = min(dp[i], dp[i + 1] + val)\n\n        return dp[0] if dp[0] != float('inf') else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = 0\n            temp_num = num\n            while temp_num > 0:\n                digit = temp_num % 10\n                if digit > max_digit:\n                    max_digit = digit\n                temp_num //= 10\n            encrypted_num = max_digit * len(str(num))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = max(str(num))\n            encrypted_num = int(max_digit) * len(str(num))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = 0\n            temp_num = num\n            while temp_num > 0:\n                digit = temp_num % 10\n                if digit > max_digit:\n                    max_digit = digit\n                temp_num //= 10\n            encrypted_num = max_digit * len(str(num))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = 0\n            temp_num = num\n            while temp_num > 0:\n                digit = temp_num % 10\n                if digit > max_digit:\n                    max_digit = digit\n                temp_num //= 10\n            encrypted_num = max_digit * len(str(num))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            encrypted_num = int(str(max_digit) * len(str(num)))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = str(num).rjust(3, '0')  # Ensure all numbers have same length\n            max_digit = max(max_digit)  # Get the largest digit\n            encrypted_num = int(max_digit * 3)  # Create the encrypted number\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = 0\n            temp_num = num\n            while temp_num > 0:\n                digit = temp_num % 10\n                if digit > max_digit:\n                    max_digit = digit\n                temp_num //= 10\n            encrypted_num = max_digit * len(str(num))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = 0\n            temp_num = num\n            while temp_num > 0:\n                digit = temp_num % 10\n                if digit > max_digit:\n                    max_digit = digit\n                temp_num //= 10\n            encrypted_num = max_digit * len(str(num))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = max(int(digit) for digit in str(num))\n            encrypted_num = int(str(max_digit) * len(str(num)))\n            total_sum += encrypted_num\n        return total_sum",
                "class Solution:\n    def sumOfEncryptedInt(self, nums: List[int]) -> int:\n        total_sum = 0\n        for num in nums:\n            max_digit = 0\n            temp_num = num\n            while temp_num > 0:\n                digit = temp_num % 10\n                if digit > max_digit:\n                    max_digit = digit\n                temp_num //= 10\n            encrypted_num = max_digit * len(str(num))\n            total_sum += encrypted_num\n        return total_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1",
                "class Solution:\n    def sumOfTheDigitsOfHarshadNumber(self, x: int) -> int:\n        sum_of_digits = sum(int(digit) for digit in str(x))\n        if x % sum_of_digits == 0:\n            return sum_of_digits\n        else:\n            return -1"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        n = len(nums)\n        inc_len, dec_len = 1, 1\n        max_len = 1\n\n        for i in range(1, n):\n            if nums[i] > nums[i - 1]:\n                inc_len += 1\n                dec_len = 1 if dec_len == i else dec_len + 1\n            elif nums[i] < nums[i - 1]:\n                inc_len = 1 if inc_len == i else inc_len + 1\n                dec_len += 1\n            else:\n                inc_len, dec_len = 1, 1\n\n            max_len = max(max_len, inc_len, dec_len)\n\n        return max_len",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1]:\n                current_length += 1\n            elif nums[i] < nums[i - 1]:\n                current_length = 2\n            else:\n                current_length = 1\n\n            longest_length = max(longest_length, current_length)\n\n        return longest_length",
                "class Solution:\n    def longestMonotonicSubarray(self, nums: List[int]) -> int:\n        longest_length = 0\n        current_length = 1\n\n        for i in range(1, len(nums)):\n            if nums[i] > nums[i - 1] or nums[i] < nums[i - 1]:\n                current_length += 1\n            else:\n                longest_length = max(longest_length, current_length)\n                current_length = 1\n\n        return max(longest_length, current_length)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes) - 1):\n            max_distance = max(max_distance, abs(primes[i + 1] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        max_dist = 0\n        first_prime = None\n        for i, num in enumerate(nums):\n            if is_prime(num):\n                if first_prime is None:\n                    first_prime = i\n                else:\n                    max_dist = max(max_dist, abs(i - first_prime))\n        return max_dist",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n):\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes) - 1):\n            max_distance = max(max_distance, abs(primes[i + 1] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            for i in range(2, int(n**0.5) + 1):\n                if n % i == 0:\n                    return False\n            return True\n\n        primes = [i for i in range(len(nums)) if is_prime(nums[i])]\n        max_distance = 0\n        for i in range(len(primes)):\n            for j in range(i + 1, len(primes) + 1):\n                max_distance = max(max_distance, abs(primes[j] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes) - 1):\n            max_distance = max(max_distance, abs(primes[i + 1] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes) - 1):\n            max_distance = max(max_distance, abs(primes[i + 1] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes) - 1):\n            max_distance = max(max_distance, abs(primes[i + 1] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            if n <= 3:\n                return True\n            if n % 2 == 0 or n % 3 == 0:\n                return False\n            i = 5\n            while i * i <= n:\n                if n % i == 0 or n % (i + 2) == 0:\n                    return False\n                i += 6\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes)):\n            for j in range(i + 1, len(primes)):\n                max_distance = max(max_distance, abs(primes[j] - primes[i]))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            for i in range(2, int(n**0.5) + 1):\n                if n % i == 0:\n                    return False\n            return True\n\n        primes = [i for i in nums if is_prime(i)]\n        max_distance = 0\n        for prime in primes:\n            max_distance = max(max_distance, abs(nums.index(prime) - nums.index(primes[-1])))\n        return max_distance",
                "class Solution:\n    def maximumPrimeDifference(self, nums: List[int]) -> int:\n        def is_prime(n: int) -> bool:\n            if n <= 1:\n                return False\n            for i in range(2, int(n**0.5) + 1):\n                if n % i == 0:\n                    return False\n            return True\n\n        primes = [i for i, num in enumerate(nums) if is_prime(num)]\n        max_distance = 0\n        for i in range(len(primes)):\n            for j in range(i + 1, len(primes)):\n                max_distance = max(max_distance, abs(primes[j] - primes[i]))\n        return max_distance"
            ],
            "pass1_list": [
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = prev = 1\n        for i in range(1, len(nums)):\n            if nums[i] == nums[i - 1]:\n                count += prev\n                prev += 1\n        return count + len(nums)",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        n = len(nums)\n        count = 0\n        prev = -1\n        for i in range(n):\n            if nums[i] != prev:\n                count += i + 1\n                prev = nums[i]\n        return count",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        prev = -1\n        curr = 0\n        for num in nums:\n            if num == prev:\n                curr += 1\n            else:\n                count += curr * (curr + 1) // 2 + 1\n                prev = num\n                curr = 0\n        return count",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        prev = -1\n        curr = 0\n\n        for num in nums:\n            if num == prev:\n                curr += 1\n            else:\n                count += (curr + 1) * (curr + 2) // 2\n                curr = 1\n            prev = num\n\n        return count + (curr + 1) * (curr + 2) // 2",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = prev = 1\n        for i in range(1, len(nums)):\n            if nums[i] == nums[i - 1]:\n                count += prev\n                prev += 1\n        return count + len(nums)",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        prev = None\n        i = 0\n\n        while i < len(nums):\n            if prev != nums[i]:\n                count += 1\n                prev = nums[i]\n                i += 1\n            else:\n                j = i + 1\n                while j < len(nums) and nums[j] == prev:\n                    j += 1\n                count += 1\n                prev = 1 - prev\n                i = j\n\n        return count",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        prev = -1\n        total = 0\n        for num in nums:\n            if num != prev:\n                count += 1\n                total += count\n            prev = num\n        return total",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        prev = None\n        i = 0\n\n        for num in nums:\n            if num == prev:\n                count += i\n            else:\n                count += i + 1\n            prev = num\n            i += 1\n\n        return count",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        n = len(nums)\n        count = 0\n        prev = -1\n        for i in range(n):\n            if nums[i] != prev:\n                count += i + 1\n                prev = nums[i]\n        return count",
                "class Solution:\n    def countAlternatingSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        prev = -1\n        curr = 0\n\n        for num in nums:\n            if num == prev:\n                curr += 1\n            else:\n                count += (curr + 1) * (curr + 2) // 2\n                prev = num\n                curr = 0\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def count_smaller_or_equal(val):\n            cnt = 0\n            for coin in coins:\n                cnt += val // coin\n            return cnt\n        \n        left, right = 0, 10**5\n        while left < right:\n            mid = left + (right - left) // 2\n            if count_smaller_or_equal(mid) < k:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def dfs(idx, val, k):\n            if k == 0:\n                return val\n            if idx == len(coins):\n                return dfs(0, val, k - 1)\n            new_val = val + coins[idx]\n            k = k - 1 if new_val < target else k\n            return dfs(idx + 1, min(val, new_val), k)\n\n        target = k\n        coins.sort()\n        return dfs(0, 0, k)",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def count_smaller(target):\n            cnt = 0\n            for coin in coins:\n                cnt += target // coin\n            return cnt\n        \n        left, right = 0, 10**5\n        while left < right:\n            mid = left + (right - left) // 2\n            if count_smaller(mid) < k:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def count_smaller(val):\n            cnt = 0\n            for coin in coins:\n                cnt += val // coin\n            return cnt\n        \n        left, right = 0, 10**5\n        while left < right:\n            mid = left + (right - left) // 2\n            if count_smaller(mid) < k:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def count_smaller_or_equal(val):\n            count = 0\n            for coin in coins:\n                count += val // coin\n            return count\n        \n        left, right = 0, int(1e5)\n        while left < right:\n            mid = left + (right - left) // 2\n            if count_smaller_or_equal(mid) < k:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def dfs(idx, val, k):\n            if k == 0:\n                return val\n            if idx == len(coins):\n                return dfs(0, val, k - 1)\n            new_val = val + coins[idx]\n            k = k - 1 if new_val < target else k\n            return dfs(idx + 1, min(val, new_val), k)\n\n        target = k\n        for coin in coins:\n            target -= 1 if coin < target else 0\n        return dfs(0, 0, k)",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def dfs(idx, val, k):\n            if k == 0:\n                return val\n            if idx == len(coins):\n                return float('inf')\n            next_val = val + coins[idx]\n            k -= self.find_count(idx, next_val, k)\n            return dfs(idx + 1, next_val, k) if k > 0 else val\n\n        def find_count(idx, val, k):\n            count = 0\n            for i in range(idx, len(coins)):\n                next_val = val + coins[i] * (k + 1)\n                count += (next_val - val) // coins[i]\n            return count\n\n        return dfs(0, 0, k)",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def dfs(idx, cur, k):\n            if cur >= k:\n                return \n            if idx == len(coins):\n                if cur == k - 1:\n                    return res[0]\n                return \n\n            for i in range(idx, len(coins)):\n                dfs(i, cur + 1, k)\n                res[0] += 1\n                if res[0] == k:\n                    return \n\n        res = [0]\n        coins.sort()\n        dfs(0, 0, k)\n        return res[0] * coins[0]",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def count_smaller_or_equal(val):\n            count = 0\n            for coin in coins:\n                count += val // coin\n            return count\n        \n        left, right = 0, 10**5\n        while left < right:\n            mid = left + (right - left) // 2\n            if count_smaller_or_equal(mid) < k:\n                left = mid + 1\n            else:\n                right = mid\n        return left",
                "class Solution:\n    def findKthSmallest(self, coins: List[int], k: int) -> int:\n        def dfs(idx, val):\n            nonlocal k\n            if k == 0:\n                return val\n            if idx == len(coins):\n                return float('inf')\n            coin = coins[idx]\n            next_val = dfs(idx + 1, val + coin)\n            if next_val != float('inf'):\n                k -= 1\n            return next_val\n\n        coins.sort()\n        return dfs(0, 0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        indices = []\n        suffix_dict = {}\n\n        for i, word in enumerate(wordsContainer):\n            for j in range(len(word), 0, -1):\n                suffix = word[-j:]\n                if suffix not in suffix_dict:\n                    suffix_dict[suffix] = (i, j)\n\n        for query in wordsQuery:\n            max_suffix_len = 0\n            best_index = 0\n            for j in range(len(query), 0, -1):\n                suffix = query[-j:]\n                if suffix in suffix_dict:\n                    index, suffix_len = suffix_dict[suffix]\n                    if suffix_len > max_suffix_len:\n                        max_suffix_len = suffix_len\n                        best_index = index\n                if j == 1:\n                    break\n\n            indices.append(best_index)\n\n        return indices",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        n = len(wordsContainer)\n        m = len(wordsQuery)\n        suffix_dict = {}\n        for i in range(n):\n            suffix = wordsContainer[i][::-1]\n            if suffix not in suffix_dict:\n                suffix_dict[suffix] = [i, len(wordsContainer[i])]\n            else:\n                suffix_dict[suffix].append(i)\n\n        ans = [-1] * m\n        for i in range(m):\n            query_suffix = wordsQuery[i][::-1]\n            temp = []\n            for j in range(len(query_suffix)):\n                if query_suffix[:j+1] in suffix_dict:\n                    temp.extend(suffix_dict[query_suffix[:j+1]])\n            if temp:\n                temp.sort(key=lambda x: (len(wordsContainer[x[1]]), x[1]))\n                ans[i] = temp[0][0]\n\n        return ans",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        indices = []\n        suffix_dict = {}\n\n        for i, word in enumerate(wordsContainer):\n            for j in range(len(word), 0, -1):\n                suffix = word[-j:]\n                if suffix not in suffix_dict:\n                    suffix_dict[suffix] = (i, j)\n                else:\n                    old_index, old_length = suffix_dict[suffix]\n                    if j < old_length or (j == old_length and len(word) < len(wordsContainer[old_index])):\n                        suffix_dict[suffix] = (i, j)\n\n        for query in wordsQuery:\n            max_common_suffix = ''\n            for j in range(len(query), 0, -1):\n                suffix = query[-j:]\n                if suffix in suffix_dict:\n                    max_common_suffix = suffix\n                    break\n            index, _ = suffix_dict.get(max_common_suffix, (-1, 0))\n            indices.append(index)\n\n        return indices",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        indices = []\n        suffix_dict = {}\n\n        for i, word in enumerate(wordsContainer):\n            for j in range(len(word), 0, -1):\n                suffix = word[-j:]\n                if suffix not in suffix_dict:\n                    suffix_dict[suffix] = (i, j)\n\n        for query in wordsQuery:\n            max_suffix_len = 0\n            best_index = 0\n            for j in range(len(query), 0, -1):\n                suffix = query[-j:]\n                if suffix in suffix_dict:\n                    index, suffix_len = suffix_dict[suffix]\n                    if suffix_len > max_suffix_len or (\n                        suffix_len == max_suffix_len\n                        and len(wordsContainer[index]) < len(wordsContainer[best_index])\n                    ):\n                        max_suffix_len = suffix_len\n                        best_index = index\n\n            indices.append(best_index)\n\n        return indices",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        indices = []\n        suffix_dict = {}\n\n        for i, word in enumerate(wordsContainer):\n            for j in range(len(word), 0, -1):\n                suffix = word[-j:]\n                if suffix not in suffix_dict:\n                    suffix_dict[suffix] = (i, j)\n\n        for query in wordsQuery:\n            max_suffix_len = 0\n            best_index = 0\n            for j in range(len(query), 0, -1):\n                suffix = query[-j:]\n                if suffix in suffix_dict:\n                    index, suffix_len = suffix_dict[suffix]\n                    if suffix_len > max_suffix_len:\n                        max_suffix_len = suffix_len\n                        best_index = index\n                    elif suffix_len == max_suffix_len:\n                        best_index = min(best_index, index)\n\n            indices.append(best_index)\n\n        return indices",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        n = len(wordsContainer)\n        m = len(wordsQuery)\n        indices = [-1] * m\n\n        # Build a map to store the index of each word in wordsContainer\n        word_index_map = {word: index for index, word in enumerate(wordsContainer)}\n\n        # Iterate through each query word\n        for i, query in enumerate(wordsQuery):\n            max_common_suffix_length = 0\n            min_word_length = float('inf')\n            index_with_min_length = -1\n\n            # Iterate through each word in wordsContainer\n            for word in wordsContainer:\n                common_suffix_length = self.common_suffix_length(query, word)\n                if common_suffix_length > max_common_suffix_length:\n                    max_common_suffix_length = common_suffix_length\n                    min_word_length = len(word)\n                    index_with_min_length = word_index_map[word]\n                elif common_suffix_length == max_common_suffix_length and len(word) < min_word_length:\n                    min_word_length = len(word)\n                    index_with_min_length = word_index_map[word]\n\n            # If a word with the longest common suffix is found, update the index in the indices list\n            if index_with_min_length != -1:\n                indices[i] = index_with_min_length\n\n        return indices\n\n    def common_suffix_length(self, str1, str2):\n        min_length = min(len(str1), len(str2))\n        for i in range(min_length - 1, -1, -1):\n            if str1[i] != str2[i]:\n                return min_length - 1 - i\n        return min_length",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        n = len(wordsContainer)\n        m = len(wordsQuery)\n        indices = [-1] * m\n\n        # Build a map to store the index of each word in wordsContainer\n        word_index_map = {word: index for index, word in enumerate(wordsContainer)}\n\n        # Iterate through each query word\n        for i, query in enumerate(wordsQuery):\n            max_common_suffix_length = 0\n            min_word_length = float('inf')\n            best_index = -1\n\n            # Iterate through each word in wordsContainer\n            for word in wordsContainer:\n                common_suffix_length = self.common_suffix_length(word, query)\n                if common_suffix_length > max_common_suffix_length:\n                    max_common_suffix_length = common_suffix_length\n                    min_word_length = len(word)\n                    best_index = word_index_map[word]\n                elif common_suffix_length == max_common_suffix_length:\n                    if len(word) < min_word_length or (len(word) == min_word_length and word_index_map[word] < best_index):\n                        min_word_length = len(word)\n                        best_index = word_index_map[word]\n\n            indices[i] = best_index\n\n        return indices\n\n    def common_suffix_length(self, word1: str, word2: str) -> int:\n        min_length = min(len(word1), len(word2))\n        for i in range(min_length - 1, -1, -1):\n            if word1[i] != word2[i]:\n                return min_length - 1 - i\n        return min_length",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        n = len(wordsContainer)\n        m = len(wordsQuery)\n        indices = [-1] * m\n\n        # Build a map to store the index of each word in wordsContainer\n        word_index_map = {word: index for index, word in enumerate(wordsContainer)}\n\n        # Iterate through each query word\n        for i, query in enumerate(wordsQuery):\n            max_common_suffix_length = 0\n            min_word_length = float('inf')\n            best_index = -1\n\n            # Iterate through each word in wordsContainer\n            for j, word in enumerate(wordsContainer):\n                # Find the length of the common suffix\n                common_suffix_length = self.common_suffix_length(word, query)\n\n                # Update the best index if needed\n                if common_suffix_length > max_common_suffix_length:\n                    max_common_suffix_length = common_suffix_length\n                    min_word_length = len(word)\n                    best_index = j\n                elif common_suffix_length == max_common_suffix_length and len(word) < min_word_length:\n                    min_word_length = len(word)\n                    best_index = j\n\n            # Update the index in the indices list\n            if best_index != -1:\n                indices[i] = best_index\n\n        return indices\n\n    def common_suffix_length(self, word1: str, word2: str) -> int:\n        min_length = min(len(word1), len(word2))\n        for i in range(min_length - 1, -1, -1):\n            if word1[i] != word2[i]:\n                return min_length - 1 - i\n        return min_length",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        n, m = len(wordsContainer), len(wordsQuery)\n        indices = [-1] * m\n        suffix_lengths = [0] * n\n\n        # Calculate suffix length for each word in wordsContainer\n        for i in range(n):\n            suffix_lengths[i] = self.longestCommonSuffix(wordsContainer[i], wordsQuery[i])\n\n        # Find the minimum index with the maximum suffix length for each word in wordsQuery\n        for i in range(m):\n            max_suffix_length = max(suffix_lengths)\n            max_indices = [j for j in range(n) if suffix_lengths[j] == max_suffix_length]\n            min_index = min(max_indices, key=lambda x: (len(wordsContainer[x]), x))\n            indices[i] = min_index\n\n            # Update suffix lengths by removing the current word from wordsQuery\n            for j in range(n):\n                suffix_lengths[j] = self.longestCommonSuffix(wordsContainer[j], wordsQuery[i][0:suffix_lengths[j]])\n\n        return indices\n\n    def longestCommonSuffix(self, word1: str, word2: str) -> int:\n        i, j = len(word1) - 1, len(word2) - 1\n        while i >= 0 and j >= 0 and word1[i] == word2[j]:\n            i -= 1\n            j -= 1\n        return len(word1) - i - 1",
                "class Solution:\n    def stringIndices(self, wordsContainer: List[str], wordsQuery: List[str]) -> List[int]:\n        indices = []\n        suffix_dict = {}\n\n        for i, word in enumerate(wordsContainer):\n            for j in range(len(word), 0, -1):\n                suffix = word[-j:]\n                if suffix not in suffix_dict:\n                    suffix_dict[suffix] = (i, j)\n                else:\n                    old_index, old_length = suffix_dict[suffix]\n                    if j < old_length or (j == old_length and len(word) < len(wordsContainer[old_index])):\n                        suffix_dict[suffix] = (i, j)\n\n        for query in wordsQuery:\n            longest_suffix = \"\"\n            for j in range(len(query), 0, -1):\n                suffix = query[-j:]\n                if suffix in suffix_dict:\n                    longest_suffix = suffix\n                    break\n            indices.append(suffix_dict[longest_suffix][0])\n\n        return indices"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score",
                "class Solution:\n    def scoreOfString(self, s: str) -> int:\n        score = 0\n        for i in range(1, len(s)):\n            score += abs(ord(s[i]) - ord(s[i - 1]))\n        return score"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(nums):\n            result = 0\n            for num in nums:\n                result |= num\n            return result\n        \n        left, right = 0, 0\n        min_length = len(nums) + 1\n        OR_value = 0\n        \n        while right < len(nums):\n            OR_value |= nums[right]\n            while OR_value >= k:\n                min_length = min(min_length, right - left + 1)\n                OR_value ^= nums[left]\n                left += 1\n            right += 1\n        \n        return min_length if min_length <= len(nums) else -1",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(left, right):\n            OR_value = 0\n            for i in range(left, right+1):\n                OR_value |= nums[i]\n            return OR_value\n        \n        if not nums or k == 0:\n            return 1 if k == 0 else -1\n        \n        n = len(nums)\n        OR_values = [0] * (n + 1)\n        OR_values[0] = -1\n        \n        for i in range(n):\n            OR_values[i+1] = calculate_OR(i, i)\n        \n        for length in range(1, n + 1):\n            for i in range(n - length + 1):\n                j = i + length - 1\n                OR_values[i + 1] |= OR_values[j + 1]\n                if OR_values[i + 1] >= k:\n                    return length\n        \n        return -1",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(nums):\n            result = 0\n            for num in nums:\n                result |= num\n            return result\n        \n        left = 0\n        right = 0\n        min_length = len(nums) + 1\n        OR_value = 0\n        \n        while right < len(nums):\n            OR_value |= nums[right]\n            while OR_value >= k:\n                min_length = min(min_length, right - left + 1)\n                OR_value ^= nums[left]\n                left += 1\n            right += 1\n        \n        return min_length if min_length <= len(nums) else -1",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(nums):\n            result = 0\n            for num in nums:\n                result |= num\n            return result\n        \n        left, right = 0, 0\n        min_length = len(nums) + 1\n        OR_value = 0\n        \n        while right < len(nums):\n            OR_value |= nums[right]\n            while OR_value >= k:\n                min_length = min(min_length, right - left + 1)\n                OR_value ^= nums[left]\n                left += 1\n            right += 1\n        \n        return min_length if min_length <= len(nums) else -1",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        if k == 0:\n            return 1\n        \n        needed_bits = []\n        for i in range(60, -1, -1):\n            if k & (1 << i):\n                needed_bits.append(i)\n        \n        or_window = 0\n        left = 0\n        min_len = float('inf')\n        for right in range(len(nums)):\n            or_window |= nums[right]\n            \n            while or_window & k == k:\n                min_len = min(min_len, right - left + 1)\n                or_window ^= nums[left]\n                left += 1\n        \n        return -1 if min_len == float('inf') else min_len",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(nums):\n            result = 0\n            for num in nums:\n                result |= num\n            return result\n        \n        left, right = 0, 0\n        min_length = len(nums) + 1\n        OR_value = 0\n        \n        while right < len(nums):\n            OR_value |= nums[right]\n            while OR_value >= k:\n                min_length = min(min_length, right - left + 1)\n                OR_value ^= nums[left]\n                left += 1\n            right += 1\n        \n        return min_length if min_length <= len(nums) else -1",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(nums):\n            result = 0\n            for num in nums:\n                result |= num\n            return result\n        \n        left = 0\n        right = 0\n        min_length = len(nums) + 1\n        OR_value = 0\n        \n        while right < len(nums):\n            OR_value |= nums[right]\n            while OR_value >= k:\n                min_length = min(min_length, right - left + 1)\n                OR_value ^= nums[left]\n                left += 1\n            right += 1\n        \n        return min_length if min_length <= len(nums) else -1",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        if k == 0:\n            return 1\n        \n        needed_bits = []\n        for i in range(60, -1, -1):\n            if k & (1 << i):\n                needed_bits.append(i)\n        \n        or_window = 0\n        left = 0\n        min_len = float('inf')\n        \n        for right in range(len(nums)):\n            or_window |= nums[right]\n            \n            while or_window & k == k:\n                min_len = min(min_len, right - left + 1)\n                or_window ^= nums[left]\n                left += 1\n        \n        return -1 if min_len == float('inf') else min_len",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        if k == 0:\n            return 1\n        \n        needed_bits = []\n        for i in range(60, -1, -1):\n            if k & (1 << i):\n                needed_bits.append(i)\n        \n        or_window = 0\n        left = 0\n        min_len = float('inf')\n        \n        for right in range(len(nums)):\n            or_window |= nums[right]\n            \n            while or_window & k == k:\n                min_len = min(min_len, right - left + 1)\n                or_window ^= nums[left]\n                left += 1\n        \n        return -1 if min_len == float('inf') else min_len",
                "class Solution:\n    def minimumSubarrayLength(self, nums: List[int], k: int) -> int:\n        def calculate_OR(nums):\n            result = 0\n            for num in nums:\n                result |= num\n            return result\n        \n        left = 0\n        right = 0\n        min_length = len(nums) + 1\n        OR_value = 0\n        \n        while right < len(nums):\n            OR_value |= nums[right]\n            while OR_value >= k:\n                min_length = min(min_length, right - left + 1)\n                OR_value ^= nums[left]\n                left += 1\n            right += 1\n        \n        return min_length if min_length <= len(nums) else -1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_val = max(nums)\n        count = 0\n        count_max = 0\n        for num in nums:\n            if num == max_val:\n                count_max += 1\n            count += count_max\n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_elem = max(nums)\n        count = 0\n        left = right = 0\n        for i in range(len(nums)):\n            if nums[i] == max_elem:\n                count += (i - left + 1) * (right - i)\n                left = i\n                while right < len(nums) and nums[right] != max_elem:\n                    right += 1\n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_val = max(nums)\n        count = 0\n        count_max = 0\n\n        for num in nums:\n            if num == max_val:\n                count_max += count + 1\n                count = 0\n            else:\n                count += 1\n\n        return count_max",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_elem = max(nums)\n        count = 0\n        left = 0\n        right = 0\n        subarray_count = 0\n        \n        while right < len(nums):\n            if nums[right] == max_elem:\n                subarray_count += 1\n                count += (subarray_count) * (subarray_count + 1) // 2\n            else:\n                subarray_count = 0\n            right += 1\n        \n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_elem = max(nums)\n        count = 0\n        left = 0\n        right = 0\n        subarray_count = 0\n        \n        while right < len(nums):\n            if nums[right] == max_elem:\n                subarray_count += 1\n                count += right - left + 1\n                right += 1\n            else:\n                left = right\n                right = left\n                \n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_val = max(nums)\n        count = 0\n        count_max = 0\n\n        for num in nums:\n            if num == max_val:\n                count_max += count + 1\n                count = 0\n            else:\n                count += 1\n\n        return count_max",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_val = max(nums)\n        count = 0\n        left = 0\n        right = 0\n        subarray_count = 0\n        \n        while right < len(nums):\n            if nums[right] == max_val:\n                subarray_count += 1\n                count += (subarray_count * (subarray_count + 1)) // 2\n            else:\n                subarray_count = 0\n            right += 1\n        \n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_val = max(nums)\n        count = 0\n        left = 0\n        right = 0\n        while right < len(nums):\n            if nums[right] == max_val:\n                count += right - left + 1\n                right += 1\n            else:\n                left = right\n                right += 1\n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        count = 0\n        max_val = max(nums)\n        max_count = nums.count(max_val)\n\n        count = max_count * (max_count + 1) // 2\n\n        return count",
                "class Solution:\n    def numberOfSubarrays(self, nums: List[int]) -> int:\n        max_val = max(nums)\n        count = 0\n        left = 0\n        right = 0\n        while right < len(nums):\n            if nums[right] == max_val:\n                count += right - left + 1\n                right += 1\n            else:\n                left = right\n                right += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_sum = sum(energy)\n        prefix_sum = [0] * n\n        prefix_sum[0] = energy[0]\n        for i in range(1, n):\n            prefix_sum[i] = prefix_sum[i - 1] + energy[i]\n\n        max_energy = -float(\"inf\")\n        for i in range(k, n):\n            jump_sum = prefix_sum[i - 1] - prefix_sum[i - k]\n            max_energy = max(max_energy, jump_sum)\n\n        return max_energy + (total_sum - prefix_sum[-1])",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_sum = [0] * n\n        current_sum = 0\n\n        # Calculate the total sum of energy for each subarray of size k\n        for i in range(k):\n            current_sum += energy[i]\n        total_sum[0] = current_sum\n\n        for i in range(1, n - k + 1):\n            current_sum += energy[i + k - 1] - energy[i - 1]\n            total_sum[i] = current_sum\n\n        # Return the maximum total sum\n        return max(total_sum)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_energy = [0] * n\n        \n        for i in range(n):\n            total_energy[i] = energy[i]\n            if i >= k:\n                total_energy[i] += total_energy[i - k]\n        \n        return max(total_energy)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_sum = sum(energy)\n        prefix_sum = [0] * n\n        prefix_sum[0] = energy[0]\n        for i in range(1, n):\n            prefix_sum[i] = prefix_sum[i - 1] + energy[i]\n        max_sum = -float(\"inf\")\n        for i in range(k, n):\n            max_sum = max(max_sum, prefix_sum[i - k] - prefix_sum[i - k - 1] if i - k - 1 >= 0 else prefix_sum[i - k],\n                         prefix_sum[i] - total_sum + prefix_sum[i - k])\n        return max_sum",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_energy = [0] * n\n\n        for i in range(n):\n            total_energy[i] = energy[i]\n            if i >= k:\n                total_energy[i] += total_energy[i - k]\n\n        return max(total_energy)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_energy = [0] * n\n\n        for i in range(n):\n            total_energy[i] = energy[i]\n            if i >= k:\n                total_energy[i] += total_energy[i - k]\n\n        return max(total_energy)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_energy = [0] * n\n        \n        # Calculate total energy for each magician\n        for i in range(n):\n            j = i\n            sum_energy = 0\n            while j < n:\n                sum_energy += energy[j]\n                j += k\n            total_energy[i] = sum_energy\n        \n        # Return the maximum total energy\n        return max(total_energy)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_sum = sum(energy)\n        prefix_sum = [0] * n\n        \n        for i in range(n):\n            prefix_sum[i] = total_sum\n            if i >= k:\n                prefix_sum[i] -= prefix_sum[i - k]\n            total_sum -= energy[i]\n        \n        return max(prefix_sum)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_energy = [0] * n\n        \n        for i in range(n):\n            total_energy[i] = energy[i]\n            if i >= k:\n                total_energy[i] += total_energy[i - k]\n                \n        return max(total_energy)",
                "class Solution:\n    def maximumEnergy(self, energy: List[int], k: int) -> int:\n        n = len(energy)\n        total_sum = sum(energy)\n        prefix_sum = [0] * n\n        prefix_sum[0] = energy[0]\n        for i in range(1, n):\n            prefix_sum[i] = prefix_sum[i - 1] + energy[i]\n        max_sum = -float(\"inf\")\n        for i in range(k, n):\n            max_sum = max(max_sum, prefix_sum[i - k] - prefix_sum[i - k - 1] if i - k - 1 >= 0 else prefix_sum[i - k], total_sum - prefix_sum[i - 1])\n        return max_sum"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(k):\n            temp = word[i:n:k]\n            if temp == word[:len(temp)]:\n                count += 1\n        return k - count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(0, n, k):\n            for j in range(i + k, n, k):\n                if word[i:i + k] == word[j:j + k]:\n                    count += 1\n                    break\n        return n // k - count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        cnt = [0] * 26\n        for i in range(0, n, k):\n            for j in range(k):\n                cnt[ord(word[i + j]) - ord('a')] += 1\n\n        res = 0\n        for i in range(26):\n            res += cnt[i] // k\n\n        return len(word) // k - res",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(0, n, k):\n            for j in range(i + k, n, k):\n                if word[i:i + k] == word[j:j + k]:\n                    count += 1\n                    break\n        return n // k - count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(0, n, k):\n            s = word[i:i + k]\n            if s not in word[:i]:\n                count += 1\n                word = word.replace(word[i:i + k], s, 1)\n        return count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(k):\n            temp = word[i:n:k]\n            if i == 0:\n                s = temp\n            else:\n                for j in range(len(temp)):\n                    if temp[j] != s[j]:\n                        count += 1\n                        break\n        return count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(k):\n            temp = word[i:n:k]\n            if temp == word[:len(temp)]:\n                count += 1\n            word = word[1:]\n        return k - count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        cnt = [0] * 26\n        for i in range(k):\n            cnt[ord(word[i]) - ord('a')] += 1\n        target = [0] * 26\n        for i in range(26):\n            if cnt[i] > 0:\n                target[i] = 1\n        for i in range(k, n, k):\n            for j in range(26):\n                cnt[j] -= ord(word[i - k]) - ord('a') == j\n            for j in range(26):\n                cnt[j] += ord(word[i]) - ord('a') == j\n            if cnt[ord(word[i]) - ord('a')] == 1:\n                target[ord(word[i]) - ord('a')] -= 1\n        res = 0\n        for i in range(26):\n            res += cnt[i] // k - target[i]\n        return res",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(k):\n            temp = word[i:n:k]\n            if temp == word[:len(temp)]:\n                count += 1\n            word = word[1:]\n        return k - count",
                "class Solution:\n    def minimumOperationsToMakeKPeriodic(self, word: str, k: int) -> int:\n        n = len(word)\n        count = 0\n        for i in range(k):\n            temp = word[i:n:k]\n            if temp != word[:len(temp)]:\n                count += 1\n                word = word.replace(temp, word[:len(temp)], 1)\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left_sum = 0\n        right_sum = 0\n\n        for i in range(mid + 1):\n            left_sum += abs(nums[i] - k)\n\n        for i in range(mid + 1, n):\n            right_sum += abs(nums[i] - k)\n\n        return min(left_sum, right_sum)",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left_sum = 0\n        right_sum = 0\n\n        for i in range(mid + 1):\n            left_sum += abs(nums[i] - k)\n\n        for i in range(mid + 1, n):\n            right_sum += abs(nums[i] - k)\n\n        return min(left_sum, right_sum)",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        med_index = (n - 1) // 2\n        left_sum = 0\n        right_sum = 0\n\n        for i in range(med_index + 1):\n            left_sum += abs(nums[i] - k)\n\n        for i in range(med_index + 1, n):\n            right_sum += abs(nums[i] - k)\n\n        return min(left_sum, right_sum)",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        left = self.minOperations(nums, k, True)\n        right = self.minOperations(nums, k, False)\n        return min(left, right)\n\n    def minOperations(self, nums, k, smaller):\n        count = 0\n        i = 0 if smaller else len(nums) - 1\n        median_index = len(nums) // 2\n        while True:\n            if i == median_index:\n                return count\n            if smaller:\n                if nums[i] <= k:\n                    count += k - nums[i]\n                    i += 1\n                else:\n                    count += nums[i] - k\n                    i += 2\n            else:\n                if nums[i] >= k:\n                    count += nums[i] - k\n                    i -= 1\n                else:\n                    count += k - nums[i]\n                    i -= 2",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left = 0\n        right = n - 1\n        operations = 0\n\n        while left <= right:\n            if nums[mid] == k:\n                operations = 0\n                break\n            elif nums[mid] > k:\n                operations += nums[mid] - k\n                right = mid - 1\n            else:\n                operations += k - nums[mid]\n                left = mid + 1\n            mid = (left + right) // 2\n\n        return operations",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left = 0\n        right = n - 1\n        operations = 0\n\n        while left <= right:\n            if nums[mid] == k:\n                operations = 0\n                break\n            elif nums[mid] > k:\n                operations += nums[mid] - k\n                right = mid - 1\n            else:\n                operations += k - nums[mid]\n                left = mid + 1\n            mid = (left + right) // 2\n\n        return operations",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left_sum = 0\n        right_sum = 0\n\n        for i in range(mid + 1):\n            left_sum += abs(nums[i] - k)\n\n        for i in range(mid + 1, n):\n            right_sum += abs(nums[i] - k)\n\n        return min(left_sum, right_sum)",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        med_index = (n - 1) // 2\n        left_sum = 0\n        right_sum = 0\n\n        for i in range(med_index + 1):\n            left_sum += abs(nums[i] - k)\n\n        for i in range(med_index + 1, n):\n            right_sum += abs(nums[i] - k)\n\n        return min(left_sum, right_sum)",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left_sum = 0\n        right_sum = 0\n\n        for i in range(mid + 1):\n            left_sum += abs(nums[i] - k)\n\n        for i in range(mid + 1, n):\n            right_sum += abs(nums[i] - k)\n\n        return min(left_sum, right_sum)",
                "class Solution:\n    def minOperationsToMakeMedianK(self, nums: List[int], k: int) -> int:\n        n = len(nums)\n        nums.sort()\n        mid = (n - 1) // 2\n        left = self.minOperations(nums, k, mid, True)\n        right = self.minOperations(nums, k, mid, False)\n        return min(left, right)\n\n    def minOperations(self, nums, k, mid, is_left):\n        operations = 0\n        for i in range(mid + (not is_left), len(nums)):\n            operations += abs(nums[i] - k)\n        for i in range(mid - (is_left) - 1, -1, -1):\n            operations += abs(nums[i] - k)\n        return operations"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        def count_right_triangles(row1, col1, row2, col2):\n            return grid[row1][col1] and grid[row1][col2] and grid[row2][col2]\n\n        triangle_count = 0\n        for row1 in range(len(grid)):\n            for col1 in range(len(grid[row1])):\n                for row2 in range(row1 + 1, len(grid)):\n                    for col2 in range(len(grid[row2])):\n                        if count_right_triangles(row1, col1, row2, col2):\n                            triangle_count += 1\n        return triangle_count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        def count_right_triangles(row1, col1, row2, col2):\n            return grid[row1][col1] and grid[row1][col2] and grid[row2][col2]\n\n        triangle_count = 0\n        for row1 in range(len(grid)):\n            for col1 in range(len(grid[row1])):\n                for row2 in range(row1 + 1, len(grid)):\n                    for col2 in range(len(grid[row2])):\n                        if count_right_triangles(row1, col1, row2, col2):\n                            triangle_count += 1\n        return triangle_count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        count = 0\n        for i in range(len(grid)):\n            for j in range(len(grid[i])):\n                if grid[i][j] == 1:\n                    for k in range(i + 1, len(grid)):\n                        if grid[k][j] == 1 and grid[k][j - i + k - 1] == 1:\n                            count += 1\n        return count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        count = 0\n        for i in range(len(grid)):\n            for j in range(len(grid[i])):\n                if grid[i][j] == 1:\n                    for k in range(i + 1, len(grid)):\n                        if grid[k][j] == 1 and grid[k][j - i + k] == 1:\n                            count += 1\n        return count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        count = 0\n        rows = len(grid)\n        cols = len(grid[0])\n\n        for i in range(rows):\n            for j in range(cols):\n                if grid[i][j] == 1:\n                    for k in range(i + 1, rows):\n                        if grid[k][j] == 1 and grid[k][j - i + k - 1] == 1:\n                            count += 1\n        return count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        def count_right_triangles(row1, col1, row2, col2):\n            return grid[row1][col1] and grid[row1][col2] and grid[row2][col2]\n\n        num_triangles = 0\n        for row1 in range(len(grid)):\n            for col1 in range(len(grid[row1])):\n                for row2 in range(row1 + 1, len(grid)):\n                    for col2 in range(len(grid[row2])):\n                        if count_right_triangles(row1, col1, row2, col2):\n                            num_triangles += 1\n        return num_triangles",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        count = 0\n        for i in range(len(grid)):\n            for j in range(len(grid[i])):\n                if grid[i][j] == 1:\n                    for k in range(i + 1, len(grid)):\n                        if grid[k][j] == 1 and grid[k][j - i + k] == 1:\n                            count += 1\n        return count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        def count_right_triangles(row1, col1, row2, col2):\n            return grid[row1][col1] and grid[row1][col2] and grid[row2][col2]\n\n        num_triangles = 0\n        for i in range(len(grid)):\n            for j in range(len(grid[i])):\n                if grid[i][j]:\n                    for k in range(j + 1, len(grid[i])):\n                        if grid[i][k]:\n                            num_triangles += sum(count_right_triangles(i, j, a, k) for a in range(len(grid))) - count_right_triangles(i, j, i, k)\n        return num_triangles",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        count = 0\n        for i in range(len(grid)):\n            for j in range(len(grid[i])):\n                if grid[i][j] == 1:\n                    for k in range(i + 1, len(grid)):\n                        if grid[k][j] == 1 and grid[k][j] == 1:\n                            count += 1\n        return count",
                "class Solution:\n    def numberOfRightTriangles(self, grid: List[List[int]]) -> int:\n        count = 0\n        for i in range(len(grid)):\n            for j in range(len(grid[i])):\n                if grid[i][j] == 1:\n                    for k in range(i + 1, len(grid)):\n                        if grid[k][j] == 1 and grid[k][j - i + k - 1] == 1:\n                            count += 1\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        count = 0\n        i = 0\n        while x != 0:\n            if x % 2 == 1:\n                count += 1\n            x //= 2\n        if count == 0:\n            return x\n        ans = x\n        for i in range(1, n):\n            ans |= ans << i\n            ans |= ans >> i\n            ans += 1\n            if ans >> count == 0:\n                break\n        return ans",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        count = 0\n        i = 0\n        while x > 0:\n            if x % 2 == 1:\n                count += 1\n            x //= 2\n        if count == 0:\n            return x\n        ans = x\n        for i in range(1, n):\n            ans |= ans << i\n            ans |= ans >> i\n            ans += 1\n            if ans >> count == 0:\n                break\n        return ans",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        ans = x\n        for i in range(30, -1, -1):\n            if n > 1 and x & (1 << i):\n                ans += (1 << i)\n                n -= 1\n        return ans",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        ans = x\n        for i in range(1, n):\n            ans |= (ans + 1) << i\n        return ans",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        ans = x\n        for i in range(30, -1, -1):\n            if (x >> i) & 1:\n                ans += (1 << i) * (n - 1)\n        return ans",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if x == 0:\n            return 1\n        bit_count = 0\n        for i in range(31, -1, -1):\n            if (x >> i) & 1:\n                bit_count = i + 1\n                break\n        return (1 << bit_count) + n - 2",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        \n        count = 0\n        factor = 1\n        while factor <= x:\n            if x % factor == 0:\n                count += 1\n            factor *= 2\n        \n        if count == 0:\n            return x + 1\n        elif count == 1:\n            return x * 2\n        else:\n            return x + 2 ** (count - 1)",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if n == 1:\n            return x\n        count = 0\n        i = 0\n        while x > 0:\n            if x % 2 == 1:\n                count += 1\n            x //= 2\n        if count == 0:\n            return x\n        ans = x\n        for i in range(1, n):\n            x += 2 ** (i - 1)\n            ans = min(ans, x + 2 ** (i - 1) - 1)\n        return ans",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if x == 0:\n            return 1\n        bit_length = 0\n        while x > 0:\n            x >>= 1\n            bit_length += 1\n        return 2 ** (bit_length - 1) * (n - 1) + x",
                "class Solution:\n    def minEnd(self, n: int, x: int) -> int:\n        if x == 0:\n            return 1\n        bit_count = 0\n        for i in range(31, -1, -1):\n            if x & (1 << i):\n                bit_count += 1\n            else:\n                break\n        return 2 ** (bit_count - 1) * (2 ** (n - 1 - bit_count) or 1) + x - 1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter in letter_count:\n                letter_count[letter] += 1\n            else:\n                letter_count[letter] = 1\n\n        unique_letters = len(letter_count)\n        max_frequency = max(letter_count.values())\n\n        return max(unique_letters, max_frequency)",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        from collections import Counter\n\n        counter = Counter(s)\n        min_length = float(\"inf\")\n\n        for char in counter:\n            if counter[char] > 0:\n                min_length = min(min_length, counter[char])\n\n        return min_length",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter not in letter_count:\n                letter_count[letter] = 1\n            else:\n                letter_count[letter] += 1\n\n        unique_letters = len(letter_count)\n        return max(unique_letters, int(len(s) / unique_letters))",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter not in letter_count:\n                letter_count[letter] = 1\n            else:\n                letter_count[letter] += 1\n\n        unique_letters = len(letter_count)\n        max_occurrences = max(letter_count.values())\n\n        return max(unique_letters, max_occurrences)",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter not in letter_count:\n                letter_count[letter] = 1\n            else:\n                letter_count[letter] += 1\n\n        unique_letters = len(letter_count)\n        max_frequency = max(letter_count.values())\n\n        return max(unique_letters, max_frequency)",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter in letter_count:\n                letter_count[letter] += 1\n            else:\n                letter_count[letter] = 1\n\n        unique_letters = len(letter_count)\n        return max(unique_letters, int(len(s) / unique_letters))",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter not in letter_count:\n                letter_count[letter] = 1\n            else:\n                letter_count[letter] += 1\n\n        unique_letters = len(letter_count)\n        return max(unique_letters, int(len(s) / unique_letters))",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter not in letter_count:\n                letter_count[letter] = 1\n            else:\n                letter_count[letter] += 1\n\n        unique_letters = len(letter_count)\n        max_frequency = max(letter_count.values())\n\n        return max(unique_letters, max_frequency)",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        from collections import Counter\n\n        counter = Counter(s)\n        min_length = len(s)\n        for count in counter.values():\n            min_length = min(min_length, s.length // count)\n        return min_length",
                "class Solution:\n    def minAnagramLength(self, s: str) -> int:\n        letter_count = {}\n        for letter in s:\n            if letter not in letter_count:\n                letter_count[letter] = 1\n            else:\n                letter_count[letter] += 1\n\n        unique_letters = len(letter_count)\n        max_frequency = max(letter_count.values())\n\n        return max(unique_letters, max_frequency)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels.union(consonants).union(set(str(i) for i in range(10))):\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return bool(vowels & set(word)) and bool(consonants & set(word))",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels.union(consonants).union(set(str(range(10)))):\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return any(char in vowels for char in word) and any(char in consonants for char in word)",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return bool(word.replace(\"0123456789\", \"\", 1).strip()) and bool(word.replace(vowels, \"\", 1).strip())",
                "class Solution:\n    def isValid(self, word: str) -> bool:\n        if len(word) < 3:\n            return False\n        vowels = set(\"aeiouAEIOU\")\n        consonants = set(\"bcdfghjklmnpqrstvwxyzBCDFGHJKLMNPQRSTVWXYZ\")\n        for char in word:\n            if char not in vowels and char not in consonants and not char.isdigit():\n                return False\n        return bool(vowels & set(word)) and bool(consonants & set(word))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1) // len(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1) // len(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1) // len(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1) // len(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        sum_nums1 = sum(nums1)\n        sum_nums2 = sum(nums2)\n        length = len(nums1)\n        x = (sum_nums2 - sum_nums1) / length\n        return int(x)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1) // len(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        return sum(nums2) - sum(nums1)",
                "class Solution:\n    def addedInteger(self, nums1: List[int], nums2: List[int]) -> int:\n        sum_nums1 = sum(nums1)\n        sum_nums2 = sum(nums2)\n        length = len(nums1)\n        x = (sum_nums2 - sum_nums1) / length\n        return int(x)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W') or (grid[0][0] + grid[0][1] + grid[1][0] + grid[1][1] + grid[2][2] + grid[2][1] == 'WWWWWW' or grid[0][2] + grid[0][1] + grid[1][2] + grid[1][1] + grid[2][0] + grid[2][1] == 'WWWWWW' or grid[0][0] + grid[1][0] + grid[0][1] + grid[1][1] + grid[2][2] + grid[2][1] == 'BBBBBB' or grid[0][0] + grid[1][0] + grid[0][2] + grid[1][2] + grid[2][0] + grid[2][1] == 'BBBBBB')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W') or (grid[0][0] + grid[0][1] + grid[1][0] + grid[1][1] == 'WWWW' or grid[0][1] + grid[0][2] + grid[1][1] + grid[1][2] == 'WWWW' or grid[0][0] + grid[0][1] + grid[1][0] + grid[2][0] == 'WWWW' or grid[1][1] + grid[1][2] + grid[2][1] + grid[2][2] == 'WWWW')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(a, b, c, d):\n            return a == b == c == d\n\n        for i in range(3):\n            for j in range(3):\n                if is_square(grid[i][j], grid[i][j + 1], grid[i + 1][j], grid[i + 1][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i][j + 1], grid[i - 1][j], grid[i - 1][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i + 1][j], grid[i][j + 1], grid[i + 1][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i - 1][j], grid[i][j + 1], grid[i - 1][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i + 1][j], grid[i - 1][j], grid[i + 1][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i - 1][j], grid[i + 1][j], grid[i - 1][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i + 1][j - 1], grid[i + 1][j], grid[i][j + 1]):\n                    return True\n                if is_square(grid[i][j], grid[i - 1][j - 1], grid[i - 1][j], grid[i][j + 1]):\n                    return True\n\n        return False",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W') or (grid[0][0] + grid[0][1] + grid[1][0] + grid[1][1] == 'WWWW' or grid[0][2] + grid[1][2] + grid[2][0] + grid[2][1] == 'WWWW' or grid[0][0] + grid[1][1] + grid[2][0] + grid[2][2] == 'WWWW' or grid[0][2] + grid[1][1] + grid[2][0] + grid[2][2] == 'WWWW')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'W') or is_square(grid, 'B')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'W') or is_square(grid, 'B')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W')",
                "class Solution:\n    def canMakeSquare(self, grid: List[List[str]]) -> bool:\n        def is_square(grid, color):\n            count = 0\n            for i in range(3):\n                for j in range(3):\n                    if grid[i][j] == color:\n                        count += 1\n            return count >= 4\n\n        return is_square(grid, 'B') or is_square(grid, 'W')"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 >= 2 * cost2:\n            return sum((num - nums[0]) // 2 * cost2 + (num - nums[0]) % 2 * cost1 for num in nums) % (10**9 + 7)\n        else:\n            return sum((num - min(nums)) // 2 * cost1 + (num - min(nums)) % 2 * cost2 for num in nums) % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost2 > 2 * cost1:\n            return sum((num - nums[0]) * cost1 for num in nums) % (10**9 + 7)\n        return sum(nums) - len(nums) * min(nums) + (len(nums) - 1) * cost2 % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            return sum(nums[i] for i in range(len(nums))) % (10**9 + 7)\n        if cost1 < 2 * cost2:\n            return (\n                cost1 * (max(nums) - min(nums))\n                + cost2 * (len(nums) - 1)\n                - cost1\n                - cost2\n            ) % (10**9 + 7)\n        return (\n            cost1 * (max(nums) - min(nums))\n            + cost2 * (len(nums) - 1)\n            - cost2\n        ) % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            return sum((num - nums[0]) // 2 * cost2 + cost1 for num in nums) % (10**9 + 7)\n        return sum(max(0, num - nums[0]) * cost1) % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            return sum((num - nums[0]) // 2 * cost2 + (num - nums[0]) % 2 * cost1 for num in nums) % (10**9 + 7)\n        return sum(max(0, num - nums[0]) * cost1 for num in nums) % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            cost1, cost2 = cost2 * 2, cost1\n\n        n = len(nums)\n        total_cost = 0\n        max_num = max(nums)\n\n        if cost1 <= cost2:\n            total_cost += (max_num - nums[0]) * cost1\n            for i in range(1, n):\n                total_cost += (max_num - nums[i]) * cost1\n                total_cost -= (max_num - nums[i - 1]) * (cost1 - cost2)\n        else:\n            total_cost += (max_num - nums[0]) * cost2\n            for i in range(1, n):\n                total_cost += (max_num - nums[i]) * cost2\n                total_cost -= (max_num - nums[i - 1]) * (cost2 - cost1)\n\n        return total_cost % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            return sum((num - nums[0]) // 2 * cost2 + (num - nums[0]) % 2 * cost1 for num in nums) % (10**9 + 7)\n        return sum(max(0, num - nums[0]) * cost1 for num in nums) % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            cost1, cost2 = cost2 * 2, cost1\n\n        n = len(nums)\n        total_cost = 0\n        max_num = max(nums)\n\n        if cost1 <= cost2:\n            total_cost += (max_num - nums[0]) * cost1\n            for i in range(1, n):\n                total_cost += (max(nums[i], nums[i - 1]) - nums[i]) * cost1\n        else:\n            total_cost += (max_num - nums[0]) * cost2\n            for i in range(1, n):\n                total_cost += (max(nums[i], nums[i - 1]) - nums[i]) * cost2\n                if nums[i - 1] == nums[i]:\n                    total_cost -= cost2\n\n        return total_cost % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            cost1, cost2 = cost2 * 2, cost1\n\n        nums.sort()\n        n = len(nums)\n        result = 0\n        i, j = 0, n - 1\n\n        while i < j:\n            diff = nums[j] - nums[i]\n            if diff == 0:\n                i += 1\n                j -= 1\n            elif diff == 1:\n                result += cost1\n                i += 1\n            else:\n                result += cost2\n                i += 1\n                j -= 1\n\n        return result % (10**9 + 7)",
                "class Solution:\n    def minCostToEqualizeArray(self, nums: List[int], cost1: int, cost2: int) -> int:\n        if cost1 > 2 * cost2:\n            return sum(nums[i] for i in range(len(nums))) % (10**9 + 7)\n        if cost1 < 2 * cost2:\n            return (\n                sum(\n                    min(nums[i], (10**6 + 6) - nums[i]) * cost1 % (10**9 + 7)\n                    for i in range(len(nums))\n                )\n                % (10**9 + 7)\n            )\n        return (\n            cost2\n            + sum(\n                min(nums[i], (10**6 + 6) - nums[i]) * cost1 // 2 % (10**9 + 7)\n                for i in range(len(nums))\n            )\n            % (10**9 + 7)\n        )"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            counts = {}\n            for c in s:\n                if c in counts:\n                    counts[c] += 1\n                else:\n                    counts[c] = 1\n            min_count = next(iter(counts.values()))\n            return all(count == min_count for count in counts.values())\n\n        ans = 0\n        i = 0\n        while i < len(s):\n            j = i\n            while j < len(s) and not is_balanced(s[i:j+1]):\n                j += 1\n            ans += 1\n            i = j + 1\n        return ans",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s: str) -> bool:\n            char_count = {}\n            for char in s:\n                if char in char_count:\n                    char_count[char] += 1\n                else:\n                    char_count[char] = 1\n            counts = char_count.values()\n            return len(set(counts)) == 1 and counts[0] > 0\n\n        min_substrings = 0\n        i = 0\n        while i < len(s):\n            if is_balanced(s[i:]):\n                min_substrings += 1\n                i = i + len(s[i:])\n            else:\n                i += 1\n\n        return min_substrings",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            letter_counts = {}\n            for letter in s:\n                if letter in letter_counts:\n                    letter_counts[letter] += 1\n                else:\n                    letter_counts[letter] = 1\n            min_count = next(iter(letter_counts.values()))\n            for count in letter_counts.values():\n                if count < min_count:\n                    return False\n            return True\n\n        left, right = 0, 0\n        count = 0\n        while right < len(s):\n            if is_balanced(s[left:right + 1]):\n                left = right + 1\n                count += 1\n            else:\n                right += 1\n\n        return count",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            letter_counts = {}\n            for letter in s:\n                if letter in letter_counts:\n                    letter_counts[letter] += 1\n                else:\n                    letter_counts[letter] = 1\n            min_count = next(iter(letter_counts.values()))\n            for count in letter_counts.values():\n                if count < min_count:\n                    return False\n            return True\n\n        left, right = 0, 0\n        count = 1\n        while right < len(s):\n            if is_balanced(s[left:right]):\n                left = right\n            right += 1\n            count = right - left\n        return count",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            letter_counts = {}\n            for letter in s:\n                if letter in letter_counts:\n                    letter_counts[letter] += 1\n                else:\n                    letter_counts[letter] = 1\n            values = letter_counts.values()\n            return len(set(values)) == 1 and values[0] > 0\n\n        ans = 0\n        i = 0\n        while i < len(s):\n            j = i + 1\n            while j < len(s) and not is_balanced(s[i:j]):\n                j += 1\n            ans += 1\n            i = j\n        return ans",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            letter_counts = {}\n            for letter in s:\n                if letter in letter_counts:\n                    letter_counts[letter] += 1\n                else:\n                    letter_counts[letter] = 1\n            min_count = next(iter(letter_counts.values()))\n            for count in letter_counts.values():\n                if count < min_count:\n                    return False\n            return True\n\n        left, right = 0, 0\n        count = 1\n        while right < len(s):\n            if is_balanced(s[left:right]):\n                left = right\n            right += 1\n            count = right - left\n\n        return count",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            counts = {}\n            for c in s:\n                if c in counts:\n                    counts[c] += 1\n                else:\n                    counts[c] = 1\n            min_count = next(iter(counts.values()))\n            return all(count == min_count for count in counts.values())\n\n        ans = 0\n        i = 0\n        while i < len(s):\n            j = i\n            while j < len(s) and not is_balanced(s[i:j+1]):\n                j += 1\n            ans += 1\n            i = j + 1\n        return ans",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            count = {}\n            for c in s:\n                count[c] = count.get(c, 0) + 1\n            for val in count.values():\n                if val != len(count):\n                    return False\n            return True\n\n        left, right = 0, 0\n        count = 0\n        while right < len(s):\n            while not is_balanced(s[left:right + 1]):\n                left += 1\n            count += 1\n            left = right + 1\n            right += 1\n\n        return count",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s: str) -> bool:\n            char_count = {}\n            for char in s:\n                if char in char_count:\n                    char_count[char] += 1\n                else:\n                    char_count[char] = 1\n            counts = char_count.values()\n            return len(set(counts)) == 1 and counts[0] > 0\n\n        min_partitions = 0\n        i = 0\n        while i < len(s):\n            if is_balanced(s[i:]):\n                min_partitions += 1\n                i = 0\n                s = \"\"\n            else:\n                i += 1\n\n        return min_partitions",
                "class Solution:\n    def minimumSubstringsInPartition(self, s: str) -> int:\n        def is_balanced(s):\n            letter_counts = {}\n            for letter in s:\n                if letter in letter_counts:\n                    letter_counts[letter] += 1\n                else:\n                    letter_counts[letter] = 1\n            for count in letter_counts.values():\n                if count != len(letter_counts):\n                    return False\n            return True\n\n        left, right = 0, 0\n        count = 0\n        while right < len(s):\n            if is_balanced(s[left:right + 1]):\n                left = right + 1\n                count += 1\n            right += 1\n\n        return count"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        dp[0][0] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z][o - 1] + dp[z - 1][o]) % mod\n                if z + o > limit:\n                    dp[z][o] = (dp[z][o] - dp[z - limit + o - 1][o - 1] + mod) % mod\n        return dp[zero][one]",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        for i in range(1, zero + 1):\n            dp[i][0] = 1\n        for i in range(1, zero + 1):\n            for j in range(1, one + 1):\n                dp[i][j] = (dp[i - 1][j] + dp[i][j - 1]) % mod\n                if i + j > limit:\n                    dp[i][j] = (dp[i][j] - dp[i - 1][j - 1] + mod) % mod\n        return dp[zero][one]",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        for i in range(1, zero + 1):\n            dp[i][0] = 1\n        for i in range(1, zero + 1):\n            for j in range(1, one + 1):\n                dp[i][j] = (dp[i - 1][j] + dp[i][j - 1]) % mod\n                if i + j > limit:\n                    dp[i][j] = (dp[i][j] - dp[i - 1][j - 1] + mod) % mod\n        return dp[zero][one]",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        for i in range(zero + 1):\n            dp[i][0] = 1\n        for i in range(1, one + 1):\n            dp[0][i] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z - 1][o] + dp[z][o - 1]) % mod\n                if z + o > limit:\n                    dp[z][o] = (dp[z][o] - dp[z - 1][o - 1] + mod) % mod\n        return dp[zero][one]",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        dp[0][0] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z - 1][o - 1] + dp[z][o - 1] * (o >= limit)) % mod\n        return sum(dp[zero]) % mod",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        dp[0][0] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z - 1][o - 1] + dp[z][o - 1] * (o >= limit)) % mod\n        return sum(dp[zero]) % mod",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        dp[0][0] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z][o - 1] + dp[z - 1][o]) % mod\n                if z + o > limit:\n                    dp[z][o] = (dp[z][o] - dp[z - limit + o - 1][o - 1] + mod) % mod\n        return dp[zero][one]",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        for i in range(zero + 1):\n            dp[i][0] = 1\n        for i in range(1, one + 1):\n            dp[0][i] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z][o - 1] + dp[z - 1][o]) % mod\n                if z + o > limit:\n                    dp[z][o] = (dp[z][o] - dp[z - 1][o - 1] + mod) % mod\n        return sum(dp[zero]) % mod",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        for i in range(1, zero + 1):\n            dp[i][0] = 1\n        for i in range(1, zero + 1):\n            for j in range(1, one + 1):\n                dp[i][j] = (dp[i - 1][j] * max(0, limit - j) % mod + dp[i][j - 1] * max(0, j - limit - 1) % mod + dp[i - 1][j - 1] * (i + j - limit - 1) % mod) % mod\n        return dp[zero][one]",
                "class Solution:\n    def numberOfStableArrays(self, zero: int, one: int, limit: int) -> int:\n        mod = 10**9 + 7\n        dp = [[0] * (one + 1) for _ in range(zero + 1)]\n        dp[0][0] = 1\n        for z in range(1, zero + 1):\n            for o in range(1, one + 1):\n                dp[z][o] = (dp[z][o - 1] + dp[z - 1][o]) % mod\n                if z + o > limit:\n                    dp[z][o] = (dp[z][o] - dp[z - limit + o - 1][o - 1] + mod) % mod\n        return dp[zero][one]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        \n        special_chars = lowercase_letters.intersection(uppercase_letters)\n        return len(special_chars)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        return len(lowercase_letters & uppercase_letters)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        \n        special_chars = lowercase_letters.intersection(uppercase_letters)\n        return len(special_chars)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        return len(lowercase_letters & uppercase_letters)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        \n        special_chars = lowercase_letters.intersection(uppercase_letters)\n        return len(special_chars)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        \n        special_chars = lowercase_letters.intersection(uppercase_letters)\n        return len(special_chars)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        \n        special_chars = lowercase_letters.intersection(uppercase_letters)\n        return len(special_chars)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        return len(lowercase_letters & uppercase_letters)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        \n        special_chars = lowercase_letters.intersection(uppercase_letters)\n        return len(special_chars)",
                "class Solution:\n    def numberOfSpecialChars(self, word: str) -> int:\n        lowercase_letters = set()\n        uppercase_letters = set()\n        for char in word:\n            if char.islower():\n                lowercase_letters.add(char)\n            else:\n                uppercase_letters.add(char.lower())\n        return len(lowercase_letters & uppercase_letters)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            while x > 0:\n                if x % 2 == 0:\n                    arr.append(2)\n                    x //= 2\n                else:\n                    arr.append(1)\n                    x -= 1\n            return arr\n\n        def concatenate_arrays(arrays: List[List[int]]) -> List[int]:\n            result = []\n            for arr in arrays:\n                result.extend(arr)\n            return result\n\n        def calculate_product(from_i: int, to_i: int, mod: int) -> int:\n            product = 1\n            for i in range(from_i, to_i + 1):\n                product *= big_nums[i]\n                product %= mod\n            return product % mod\n\n        big_nums = []\n        i = 1\n        while len(big_nums) < 10000:\n            arr = powerful_array(i)\n            big_nums.extend(arr)\n            i += 1\n\n        answer = []\n        for query in queries:\n            from_i, to_i, mod = query\n            answer.append(calculate_product(big_nums.index(from_i), big_nums.index(to_i), mod))\n\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            while x > 0:\n                if x % 2 == 0:\n                    arr.append(2)\n                    x //= 2\n                else:\n                    arr.append(1)\n                    x -= 1\n            return arr\n\n        def concatenate_arrays(arrays: List[List[int]]) -> List[int]:\n            result = []\n            for arr in arrays:\n                result.extend(arr)\n            return result\n\n        def calculate_product(from_i: int, to_i: int, mod_i: int) -> int:\n            product = 1\n            for i in range(from_i, to_i + 1):\n                product *= big_nums[i]\n                product %= mod_i\n            return product % mod_i\n\n        big_nums = []\n        n = int(1e15)\n        for i in range(1, n + 1):\n            arr = powerful_array(i)\n            big_nums.extend(arr)\n\n        answer = []\n        for query in queries:\n            from_i, to_i, mod_i = query\n            answer.append(calculate_product(from_i, to_i, mod_i))\n\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            while x > 0:\n                if x % 2 == 1:\n                    arr.append(1)\n                else:\n                    arr.append(2)\n                x //= 2\n                if x >= 2:\n                    arr.append(2 ** (x - 1))\n            return arr\n\n        def concatenate_arrays(n: int) -> List[int]:\n            result = []\n            for i in range(1, n + 1):\n                arr = powerful_array(i)\n                result.extend(arr)\n            return result\n\n        def query_product(query: List[int], big_nums: List[int]) -> int:\n            from_i, to_i, mod_i = query\n            product = 1\n            for i in range(from_i, to_i + 1):\n                product = (product * big_nums[i]) % mod_i\n            return product\n\n        big_nums = concatenate_arrays(100000)\n        answer = []\n        for query in queries:\n            answer.append(query_product(query, big_nums))\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        answer = []\n        big_nums = [1]\n        i = 0\n\n        while True:\n            powerful_array = []\n            x = i\n            while x > 0:\n                if x % 2 == 1:\n                    powerful_array.append(1)\n                else:\n                    powerful_array.append(2)\n                x //= 2\n            big_nums += powerful_array\n            i += 1\n            if i == 16:\n                break\n\n        for query in queries:\n            from_, to_, mod_ = query\n            product = 1\n            for j in range(int(from_), int(to_) + 1):\n                product = (product * big_nums[j]) % mod_\n            answer.append(product)\n\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            while x > 0:\n                arr.append(2 ** (len(arr) + 1))\n                x -= 2 ** (len(arr))\n            return arr\n\n        def concatenate_arrays(arrays: List[List[int]]) -> List[int]:\n            result = []\n            for arr in arrays:\n                result.extend(arr)\n            return result\n\n        def calculate_product(from_i: int, to_i: int, mod: int) -> int:\n            product = 1\n            for i in range(from_i, to_i + 1):\n                product = (product * big_nums[i]) % mod\n            return product % mod\n\n        big_nums = concatenate_arrays([powerful_array(i) for i in range(1, 60)])\n        answer = []\n        for query in queries:\n            from_i, to_i, mod_i = query\n            answer.append(calculate_product(big_nums.index(from_i), big_nums.index(to_i), mod_i))\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def get_powerful_array_sum(x: int) -> int:\n            powerful_array = []\n            while x > 0:\n                powerful_array.append(2 ** (len(powerful_array) + 1))\n                x -= 2 ** (len(powerful_array) - 1)\n            return sum(powerful_array)\n\n        def query_product(from_: int, to_: int, mod: int) -> int:\n            product = 1\n            i = from_\n            while i <= to_:\n                product = (product * (get_powerful_array_sum(i) % mod)) % mod\n                i += 1\n            return product\n\n        answer = []\n        for query in queries:\n            from_, to_, mod_ = query\n            answer.append(query_product(from_, to_, mod_))\n\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            i = 0\n            while x > 0:\n                if x % 2 == 1:\n                    arr.append(2 ** i)\n                i += 1\n                x //= 2\n            return arr\n\n        def concatenate_arrays(arrays: List[List[int]]) -> List[int]:\n            result = []\n            for arr in arrays:\n                result.extend(arr)\n            return result\n\n        def calculate_product(query: List[int], mod: int) -> int:\n            product = 1\n            for i in range(query[0], query[1] + 1):\n                product *= big_nums[i]\n                product %= mod\n            return product % mod\n\n        big_nums = []\n        n = 0\n        while len(big_nums) < 1000000:\n            arr = powerful_array(n)\n            big_nums.extend(arr)\n            n += 1\n\n        big_nums_map = {i: num for i, num in enumerate(big_nums)}\n\n        answers = []\n        for query in queries:\n            from_i, to_i, mod_i = query\n            if from_i == to_i:\n                answers.append(big_nums_map[from_i] % mod_i)\n            else:\n                answers.append(calculate_product(query, query[2]))\n\n        return answers",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            i = 0\n            while x > 0:\n                if x % 2 == 1:\n                    arr.append(2**i)\n                i += 1\n                x //= 2\n            return arr\n\n        def concatenate_arrays(n: int) -> List[int]:\n            all_arrays = []\n            for i in range(1, n + 1):\n                arr = powerful_array(i)\n                all_arrays.extend(arr)\n            return all_arrays\n\n        def query_product(query: List[int], big_nums: List[int]) -> int:\n            product = 1\n            for i in range(query[0], query[1] + 1):\n                product = (product * big_nums[i]) % query[2]\n            return product\n\n        big_nums = concatenate_arrays(10**15)\n        answer = []\n        for query in queries:\n            answer.append(query_product(query, big_nums))\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            while x > 0:\n                if x % 2 == 0:\n                    arr.append(2)\n                    x //= 2\n                else:\n                    arr.append(1)\n                    x -= 1\n            return arr\n\n        def concatenate_arrays(arrays: List[List[int]]) -> List[int]:\n            result = []\n            for arr in arrays:\n                result.extend(arr)\n            return result\n\n        def calculate_product(from_i: int, to_i: int, mod_i: int) -> int:\n            product = 1\n            for i in range(from_i, to_i + 1):\n                product *= big_nums[i]\n                product %= mod_i\n            return product % mod_i\n\n        big_nums = []\n        n = int(1e15)\n        for i in range(1, n + 1):\n            arr = powerful_array(i)\n            big_nums.extend(arr)\n\n        answer = []\n        for query in queries:\n            from_i, to_i, mod_i = query\n            answer.append(calculate_product(from_i, to_i, mod_i))\n\n        return answer",
                "class Solution:\n    def findProductsOfElements(self, queries: List[List[int]]) -> List[int]:\n        def powerful_array(x: int) -> List[int]:\n            arr = []\n            while x > 0:\n                if x % 2 == 1:\n                    arr.append(1)\n                else:\n                    arr.append(2)\n                x //= 2\n                if x >= 2:\n                    arr.append(2 ** (x - 1))\n            return arr\n\n        def concatenate_arrays(n: int) -> List[int]:\n            arr = []\n            for i in range(1, int(n ** (1/2)) + 1):\n                arr.extend(powerful_array(i))\n            if n == 1:\n                return arr\n            else:\n                arr.extend(concatenate_arrays(n - int(n ** (1/2))))\n            return arr\n\n        def query_product(query: List[int], big_nums: List[int]) -> int:\n            product = 1\n            for i in range(query[0], query[1] + 1):\n                product = (product * big_nums[i]) % query[2]\n            return product\n\n        big_nums = concatenate_arrays(10**16)\n        answer = []\n        for query in queries:\n            answer.append(query_product(query, big_nums))\n        return answer"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_index_map = {char: index for index, char in enumerate(s)}\n        t_index_map = {char: index for index, char in enumerate(t)}\n\n        diff = 0\n        for char in s:\n            diff += abs(s_index_map[char] - t_index_map[char])\n\n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_index_map = {char: index for index, char in enumerate(s)}\n        t_index_map = {char: index for index, char in enumerate(t)}\n\n        diff_sum = 0\n        for char in s:\n            diff_sum += abs(s_index_map[char] - t_index_map[char])\n\n        return diff_sum",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff",
                "class Solution:\n    def findPermutationDifference(self, s: str, t: str) -> int:\n        s_dict = {}\n        t_dict = {}\n        \n        for i, char in enumerate(s):\n            s_dict[char] = i\n        \n        for i, char in enumerate(t):\n            t_dict[char] = i\n        \n        diff = 0\n        for char in s:\n            diff += abs(s_dict[char] - t_dict[char])\n        \n        return diff"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        # Initialize a list to store the number of ways to reach each stair\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 2, 1\n\n        # Calculate the number of ways to reach each stair\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (jump := 0))) - 1]\n\n        # Return the number of ways to reach stair k\n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        # Initialize a list to store the number of ways to reach each stair\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 2, 1\n\n        # Use dynamic programming to calculate the number of ways to reach each stair\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (jump := 0))) - 1]\n\n        # Return the number of ways to reach stair k\n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        if k == 0:\n            return 1\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 1, 2\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (i - 1)))];\n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        if k == 0:\n            return 1\n        if k < 0:\n            return 0\n        \n        dp = [0] * (k + 1)\n        dp[0] = 1\n        dp[1] = 1\n        \n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - 2 - (1 << (self.bitcount(i - 1))))]\n        \n        return dp[k]\n    \n    def bitcount(self, n):\n        count = 0\n        while n > 0:\n            count += 1\n            n //= 2\n        return count",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        if k == 0:\n            return 1\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 1, 2\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (bin(i - 1).count(\"1\") - 1)))];\n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        # Initialize a list to store the number of ways to reach each stair\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 2, 1\n\n        # Calculate the number of ways to reach each stair\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (self.bitCount(i - 1) - 1)))];\n\n        return dp[k]\n\n    def bitCount(self, n):\n        # Count the number of 1 bits in the binary representation of n\n        count = 0\n        while n:\n            count += n & 1\n            n >>= 1\n        return count",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        # Initialize a list to store the number of ways to reach each stair\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 2, 1\n\n        # We only need to calculate up to the square root of k, since 2^jump should be less than or equal to k\n        for jump in range(int(k ** 0.5)):\n            for i in range(jump + 1, k + 1):\n                if i - (1 << jump) >= 0:\n                    dp[i] += dp[i - (1 << jump)]\n\n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        if k == 0:\n            return 1\n        if k < 0:\n            return 0\n        \n        dp = [0] * (k + 1)\n        dp[0] = 1\n        dp[1] = 1\n        \n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - 2 - (1 << (max(0, int(math.log2(i - 2))))))]\n        \n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        # Initialize a list to store the number of ways to reach each stair\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 2, 1\n\n        # Calculate the number of ways to reach each stair\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (jump := 0))) - 1]\n\n        # Return the number of ways to reach stair k\n        return dp[k]",
                "class Solution:\n    def waysToReachStair(self, k: int) -> int:\n        # Initialize a list to store the number of ways to reach each stair\n        dp = [0] * (k + 1)\n        dp[0], dp[1] = 2, 1\n\n        # Use dynamic programming to find the number of ways to reach stair k\n        for i in range(2, k + 1):\n            dp[i] = dp[i - 1] + dp[max(0, i - (1 << (i - 1)))];\n\n        return dp[k]"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position across all numbers\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the digit differences\n        for i in range(num_digits):\n            digit_set = set()\n            for num in nums:\n                num_str = str(num)\n                digit = int(num_str[i])\n                if digit not in digit_set:\n                    total_diff += 1\n                    digit_set.add(digit)\n        \n        # Multiply the total differences by the number of pairs\n        total_diff *= len(nums) * (len(nums) - 1) // 2\n        \n        return total_diff",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the sum of digit differences\n        for i in range(num_digits):\n            digit_count = [0] * 10\n            for num in nums:\n                digit_count[int(num[i])] += 1\n            total_diff += sum(\n                [abs(digit_sums[i] - (digit_count[j] * j)) for j in range(10)]\n            )\n        \n        return total_diff",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_sum = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each integer in the input list\n        digit_sums = [sum(map(int, str(num))) for num in nums]\n        \n        # Calculate the average of the digit sums\n        avg_sum = sum(digit_sums) // len(nums)\n        \n        # Calculate the sum of digit differences\n        for num in nums:\n            total_sum += abs(sum(map(int, str(num))) - avg_sum) * num_digits\n        \n        return total_sum // 2",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position across all numbers\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the digit differences\n        for i in range(num_digits):\n            digit_count = sum([int(num[i]) for num in nums])\n            total_diff += digit_sums[i] * (len(nums) - digit_count)\n        \n        return total_diff",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_sum = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the sum of digit differences\n        for i in range(num_digits):\n            digit_count = [0] * 10\n            for num in nums:\n                num_str = str(num)\n                digit_count[int(num_str[i])] += 1\n            total_sum += sum(\n                [abs(digit_count[j] - digit_sums[i]) * j for j in range(10)]\n            )\n        \n        return total_sum",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position across all numbers\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the sum of digit differences for each position\n        for i in range(num_digits):\n            digit_count = [0] * 10\n            for num in nums:\n                digit_count[int(num_str[i])] += 1\n            total_diff += sum(abs(digit_count[j] - digit_sums[i] / len(nums)) for j in range(10))\n        \n        return total_diff",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position across all numbers\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the sum of digit differences for each position\n        for i in range(num_digits):\n            digit_set = set()\n            for num in nums:\n                digit_str = str(num)[i]\n                if digit_str not in digit_set:\n                    total_diff += 1\n                    digit_set.add(digit_str)\n        \n        return total_diff * len(nums)",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n\n        # Calculate the digit sums for each position across all numbers\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n\n        # Calculate the digit differences\n        for i in range(num_digits):\n            digit_count = sum(int(digit) for digit in str(digit_sums[i]))\n            total_diff += digit_count * (len(nums) - digit_count)\n\n        return total_diff",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n        \n        # Calculate the digit sums for each position\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n        \n        # Calculate the sum of digit differences\n        for i in range(num_digits):\n            digit_count = [0] * 10\n            for num in nums:\n                num_str = str(num)\n                digit_count[int(num_str[i])] += 1\n            total_diff += sum(abs(digit_count[j] - digit_sums[i]) for j in range(10)) // 2\n        \n        return total_diff",
                "class Solution:\n    def sumDigitDifferences(self, nums: List[int]) -> int:\n        total_diff = 0\n        num_digits = len(str(nums[0]))\n\n        # Calculate the digit sums for each position across all numbers\n        digit_sums = [0] * num_digits\n        for num in nums:\n            num_str = str(num)\n            for i in range(num_digits):\n                digit_sums[i] += int(num_str[i])\n\n        # Calculate the digit differences\n        for i in range(num_digits):\n            digit_count = sum(int(digit) for digit in str(digit_sums[i]))\n            total_diff += digit_count * (len(nums) - digit_count)\n\n        return total_diff"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(target, occurrences):\n            count = 0\n            for i, num in enumerate(nums):\n                if num == target:\n                    count += 1\n                    if count == occurrences:\n                        return i\n            return -1\n\n        answer = []\n        for query in queries:\n            index = find_occurrences(x, query)\n            answer.append(index)\n\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(arr, target, occur_count):\n            count = 0\n            index = -1\n            for i in range(len(arr)):\n                if arr[i] == target:\n                    count += 1\n                    if count == occur_count:\n                        index = i\n                        break\n            return index\n\n        nums.sort()\n        answer = []\n        for query in queries:\n            index = find_occurrences(nums, x, query)\n            answer.append(index)\n\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(target, count):\n            idx = -1\n            for i in range(len(nums)):\n                if nums[i] == target:\n                    idx = i\n                    count -= 1\n                    if count == 0:\n                        return idx\n            return -1\n\n        nums.sort()\n        answer = []\n        for query in queries:\n            index = find_occurrences(x, query)\n            answer.append(index)\n\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(arr, target, occur_count):\n            count = 0\n            index = -1\n            for i in range(len(arr)):\n                if arr[i] == target:\n                    count += 1\n                    if count == occur_count:\n                        index = i\n                        break\n            return index\n\n        nums.sort()\n        answer = []\n        for query in queries:\n            index = find_occurrences(nums, x, query)\n            answer.append(index)\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrence(target: int):\n            left, right = 0, len(nums) - 1\n            while left <= right:\n                mid = left + (right - left) // 2\n                if nums[mid] == x and (mid == 0 or nums[mid - 1] != x):\n                    return mid\n                if nums[mid] < x:\n                    left = mid + 1\n                else:\n                    right = mid - 1\n            return -1\n\n        nums.sort()\n        answer = []\n        for query in queries:\n            index = find_occurrence(query - 1)\n            answer.append(index) if index != -1 else answer.append(-1)\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(target, num):\n            count = 0\n            for n in num:\n                if n == target:\n                    count += 1\n                if count == target:\n                    return True\n            return False\n\n        nums.sort()\n        answer = []\n        for query in queries:\n            index = find_occurrences(query, nums, x)\n            answer.append(index)\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(target, occurrences):\n            count = 0\n            for i, num in enumerate(nums):\n                if num == target:\n                    count += 1\n                    if count == occurrences:\n                        return i\n            return -1\n\n        answer = []\n        for query in queries:\n            index = find_occurrences(x, query)\n            answer.append(index)\n\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(target, occurrences):\n            count = 0\n            for i, num in enumerate(nums):\n                if num == target:\n                    count += 1\n                    if count == occurrences:\n                        return i\n            return -1\n\n        nums.sort()\n        answer = []\n        for query in queries:\n            index = find_occurrences(x, query)\n            answer.append(index)\n\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(arr, target, occur_count):\n            occurrences = []\n            count = 0\n            index = 0\n            while count < len(arr):\n                if arr[count] == target:\n                    if count == occur_count - 1:\n                        occurrences.append(index)\n                        return occurrences\n                    else:\n                        count += 1\n                        index += 1\n                else:\n                    count += 1\n                    index += 1\n            return occurrences\n\n        answer = []\n        for query in queries:\n            occur_count = query + 1\n            occurrences = find_occurrences(nums, x, occur_count)\n            if occurrences:\n                answer.append(occurrences[-1])\n            else:\n                answer.append(-1)\n\n        return answer",
                "class Solution:\n    def occurrencesAfterSorting(self, nums: List[int], queries: List[int], x: int) -> List[int]:\n        def find_occurrences(target, occurrences):\n            count = 0\n            for i, num in enumerate(nums):\n                if num == target:\n                    count += 1\n                    if count == occurrences:\n                        return i\n            return -1\n\n        answer = []\n        for query in queries:\n            index = find_occurrences(x, query)\n            answer.append(index)\n\n        return answer"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos], dp[pos] + x)\n            for i in range(pos + 2, len(dp)):\n                dp[i] = max(dp[i - 1], dp[i] + nums[i - 1])\n\n        def query(pos, x):\n            ans = 0\n            for i in range(pos + 1, len(dp)):\n                ans = max(ans, dp[i])\n            return ans\n\n        res = 0\n        for pos, x in queries:\n            res = (res + query(pos, x)) % (10**9 + 7)\n            update(pos, x)\n        return res",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos + 1], dp[pos] + x)\n\n        def query(pos):\n            return dp[pos + 1]\n\n        ans = 0\n        mod = 10**9 + 7\n        for pos, x in queries:\n            update(pos, x)\n            ans += query(pos)\n            ans %= mod\n\n        return ans",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos], dp[pos] + x)\n            for i in range(pos + 1, n):\n                dp[i + 1] = max(dp[i], dp[i] + x)\n\n        ans = 0\n        for pos, x in queries:\n            update(pos, x)\n            ans += dp[n]\n            ans %= 1000000007\n        return ans",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def query(pos, x):\n            dp[pos + 1] = max(dp[pos], dp[pos] + x)\n            for i in range(pos + 2, n + 1):\n                dp[i] = max(dp[i - 1], dp[i - 1] + nums[i - 1])\n            return dp[n]\n\n        ans = 0\n        for query in queries:\n            ans = (ans + query[1] + query(query[0], query[1])) % (10**9 + 7)\n\n        return ans",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        ans = 0\n        mod = 10**9 + 7\n\n        for query in queries:\n            pos, x = query\n            dp[pos + 1] = max(dp[pos], dp[pos] + x)\n            ans += dp[-1] - dp[pos]\n\n        return ans % mod",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos + 1], dp[pos] + x)\n\n        def query(pos):\n            return dp[pos + 1]\n\n        ans = 0\n        mod = int(1e9 + 7)\n        for pos, x in queries:\n            update(pos, x)\n            ans += query(pos)\n            ans %= mod\n\n        return ans",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos], dp[pos] + x)\n            for i in range(pos + 2, len(dp)):\n                dp[i] = max(dp[i - 1], dp[i - 1] + x)\n\n        ans = 0\n        for pos, x in queries:\n            update(pos, x)\n            ans += dp[-1] % (10**9 + 7)\n            ans %= 10**9 + 7\n        return ans",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos + 1], dp[pos] + x)\n\n        def query(pos):\n            return dp[pos + 1]\n\n        ans = 0\n        mod = 10**9 + 7\n        for pos, x in queries:\n            update(pos, x)\n            ans += query(pos)\n            ans %= mod\n\n        return ans",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def update(pos, x):\n            dp[pos + 1] = max(dp[pos + 1], dp[pos] + x)\n\n        def query(pos):\n            return dp[pos + 1]\n\n        res = 0\n        mod = int(1e9 + 7)\n        for pos, x in queries:\n            update(pos, x)\n            res = (res + query(pos)) % mod\n        return res",
                "class Solution:\n    def maximumSumSubsequence(self, nums: List[int], queries: List[List[int]]) -> int:\n        n = len(nums)\n        dp = [0] * (n + 1)\n        dp[0] = 0\n        for i in range(n):\n            dp[i + 1] = max(dp[i], dp[i] + nums[i])\n\n        def query(pos, x):\n            dp[pos + 1] = max(dp[pos], dp[pos] + x)\n            for i in range(pos + 2, n + 1):\n                dp[i] = max(dp[i - 1], dp[i] + nums[i - 1])\n            return dp[n]\n\n        ans = 0\n        for query in queries:\n            ans = (ans + query(query[0], query[1])) % (10**9 + 7)\n        return ans"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n        \n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n                \n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n\n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n\n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n        \n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n                \n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n\n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n\n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n        \n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n                \n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        result = 0\n        for num in nums:\n            # XOR the current number with the result\n            result ^= num\n        # Loop through the numbers again to find duplicates\n        for num in nums:\n            # XOR the current number with the result again\n            result ^= num\n            # If the result is zero, that means we've found a duplicate\n            if result == 0:\n                return num\n        return result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        num_set = set()\n\n        for num in nums:\n            if num in num_set:\n                xor_result ^= num\n            else:\n                num_set.add(num)\n\n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n\n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n\n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        xor_result = 0\n        seen = set()\n        \n        for num in nums:\n            if num in seen:\n                xor_result ^= num\n            else:\n                seen.add(num)\n                \n        return xor_result",
                "class Solution:\n    def duplicateNumbersXOR(self, nums: List[int]) -> int:\n        count_map = {}\n        xor_result = 0\n\n        for num in nums:\n            if num in count_map:\n                count_map[num] += 1\n            else:\n                count_map[num] = 1\n\n        for num, count in count_map.items():\n            if count == 2:\n                xor_result ^= num\n\n        return xor_result"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        for i in range(len(nums) - 1):\n            if nums[i] % 2 == nums[i + 1] % 2:\n                return False\n        return True",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        odd_count = 0\n        for num in nums:\n            if num % 2 == 1:\n                odd_count += 1\n            else:\n                if odd_count == 0:\n                    return False\n                odd_count = 0\n        return odd_count == 0 or odd_count == 1",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        for i in range(len(nums) - 1):\n            if nums[i] % 2 == nums[i + 1] % 2:\n                return False\n        return True",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        odd_count = 0\n        for num in nums:\n            if num % 2 == 1:\n                odd_count += 1\n            if odd_count > 1:\n                return False\n        return True",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        for i in range(len(nums) - 1):\n            if nums[i] % 2 == nums[i + 1] % 2:\n                return False\n        return True",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        odd_count = 0\n        for num in nums:\n            if num % 2 == 1:\n                odd_count += 1\n            else:\n                if odd_count == 0:\n                    return False\n                odd_count = 0\n        return odd_count == 0 or odd_count == 1",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        for i in range(len(nums) - 1):\n            if nums[i] % 2 == nums[i + 1] % 2:\n                return False\n        return True",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        odd_count = 0\n        for num in nums:\n            if num % 2 == 1:\n                odd_count += 1\n            else:\n                if odd_count == 0:\n                    return False\n                odd_count = 0\n        return odd_count == 0 or odd_count == 1",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        odd_count = 0\n        for num in nums:\n            if num % 2 == 1:\n                odd_count += 1\n            else:\n                if odd_count == 0:\n                    return False\n                odd_count = 0\n        return odd_count == 0 or odd_count == 1",
                "class Solution:\n    def isArraySpecial(self, nums: List[int]) -> bool:\n        for i in range(len(nums) - 1):\n            if nums[i] % 2 == nums[i + 1] % 2:\n                return False\n        return True"
            ],
            "pass1_list": [
                true,
                false,
                true,
                false,
                true,
                false,
                true,
                false,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count",
                "class Solution:\n    def numberOfPairs(self, nums1: List[int], nums2: List[int], k: int) -> int:\n        count = 0\n        for i in range(len(nums1)):\n            for j in range(len(nums2)):\n                if nums1[i] % (nums2[j] * k) == 0:\n                    count += 1\n        return count"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n\n            comp.append(str(min(count, 9)))\n            comp.append(word[i])\n            i += 1\n\n        return ''.join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n\n            comp.append(str(min(count, 9)))\n            comp.append(word[i])\n            i += 1\n\n        return \"\".join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            repeat_char = word[i]\n\n            while i + 1 < len(word) and word[i + 1] == repeat_char:\n                i += 1\n                count += 1\n\n            comp.append(str(count))\n            comp.append(repeat_char)\n            i += 1\n\n        return ''.join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            c = word[i]\n\n            while i + 1 < len(word) and word[i + 1] == c:\n                i += 1\n                count += 1\n\n            comp.append(str(count))\n            comp.append(c)\n\n            i += 1\n\n        return \"\".join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n\n            comp.append(str(min(count, 9)))\n            comp.append(word[i])\n            i += 1\n\n        return ''.join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n        \n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n            \n            comp.append(str(min(count, 9)))\n            comp.append(word[i])\n            i += 1\n        \n        return ''.join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            c = word[i]\n\n            while i + 1 < len(word) and word[i + 1] == c:\n                i += 1\n                count += 1\n\n            comp.append(str(count))\n            comp.append(c)\n\n            i += 1\n\n        return \"\".join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n\n            comp.append(str(min(count, 9)))\n            comp.append(word[i])\n            i += 1\n\n        return ''.join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n\n            comp.append(str(min(count, 9)))\n            comp.append(word[i])\n            i += 1\n\n        return \"\".join(comp)",
                "class Solution:\n    def compressedString(self, word: str) -> str:\n        comp = []\n        i = 0\n\n        while i < len(word):\n            count = 1\n            while i + 1 < len(word) and word[i] == word[i + 1]:\n                i += 1\n                count += 1\n\n            comp.append(str(count))\n            comp.append(word[i])\n            i += 1\n\n        return \"\".join(comp)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\nt = 0\na = 0\nfor i in range(n):\n    if s[i] == \"T\":\n        t += 1\n    else:\n        a += 1\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    for i in range(n):\n        if s[i] == \"T\":\n            print(\"T\")\n            break\n    else:\n        print(\"A\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\" if s[::-1].find(\"T\") < s[::-1].find(\"A\") else \"A\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\" if s[::-1].index(\"T\") < s[::-1].index(\"A\") else \"A\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\" if s[::-1].index(\"T\") < s[::-1].index(\"A\") else \"A\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    print(\"T\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    if s.find(\"T\") < s.find(\"A\"):\n        print(\"T\")\n    else:\n        print(\"A\")",
                "n = int(input())\ns = input()\nt = s.count(\"T\")\na = s.count(\"A\")\nif t > a:\n    print(\"T\")\nelif t < a:\n    print(\"A\")\nelse:\n    if s.index(\"T\") < s.index(\"A\"):\n        print(\"T\")\n    else:\n        print(\"A\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\n\nwhile True:\n    i = 0\n    while i < n - 1 and abs(a[i] - a[i + 1]) == 1:\n        i += 1\n    if i == n - 1:\n        break\n    if a[i] < a[i + 1]:\n        a = a[: i + 1] + list(range(a[i] + 1, a[i + 1])) + a[i + 1 :]\n    else:\n        a = a[: i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\n\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\nwhile True:\n    flag = False\n    for i in range(n - 1):\n        if abs(a[i] - a[i + 1]) != 1:\n            if a[i] > a[i + 1]:\n                a = a[:i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\n            else:\n                a = a[:i + 1] + list(range(a[i] + 1, a[i + 1])) + a[i + 1 :]\n            flag = True\n            break\n    if not flag:\n        break\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\n\nwhile True:\n    flag = 0\n    for i in range(n - 1):\n        if abs(a[i] - a[i + 1]) != 1:\n            if a[i] > a[i + 1]:\n                a = a[:i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\n            else:\n                a = a[:i + 1] + list(range(a[i], a[i + 1])) + a[i + 1 :]\n            flag = 1\n            break\n    if flag == 0:\n        break\n\nfor i in a:\n    print(i, end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nwhile True:\n    flag = 0\n    for i in range(n - 1):\n        if abs(a[i] - a[i + 1]) != 1:\n            if a[i] > a[i + 1]:\n                a = a[: i + 1] + list(range(a[i + 1] + 1, a[i] + 1)) + a[i + 1 :]\n            else:\n                a = a[: i + 1] + list(range(a[i] - 1, a[i + 1] - 1, -1)) + a[i + 1 :]\n            flag = 1\n            break\n    if flag == 0:\n        break\n\nfor i in a:\n    print(i, end=\" \")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nwhile True:\r\n    flag = True\r\n    for i in range(n - 1):\r\n        if abs(a[i] - a[i + 1]) != 1:\r\n            flag = False\r\n            if a[i] < a[i + 1]:\r\n                a = a[: i + 1] + list(range(a[i] + 1, a[i + 1])) + a[i + 1 :]\r\n            else:\r\n                a = a[: i + 1] + list(range(a[i] - 1, a[i + 1], -1)) + a[i + 1 :]\r\n            break\r\n    if flag:\r\n        break\r\n\r\nprint(*a)\r",
                "n = int(input())\na = list(map(int, input().split()))\n\nwhile True:\n    i = 0\n    while i < n - 1 and abs(a[i] - a[i + 1]) == 1:\n        i += 1\n    if i == n - 1:\n        break\n    if a[i] > a[i + 1]:\n        a = a[: i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\n    else:\n        a = a[: i + 1] + list(range(a[i], a[i + 1] + 1)) + a[i + 1 :]\n\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\n\nwhile True:\n    i = 0\n    while i < n - 1 and abs(a[i] - a[i + 1]) == 1:\n        i += 1\n    if i == n - 1:\n        break\n    if a[i] < a[i + 1]:\n        a = a[: i + 1] + list(range(a[i] + 1, a[i + 1])) + a[i + 1 :]\n    else:\n        a = a[: i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\n\nprint(*a)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nwhile True:\r\n    flag = True\r\n    for i in range(n - 1):\r\n        if abs(a[i] - a[i + 1]) != 1:\r\n            flag = False\r\n            if a[i] > a[i + 1]:\r\n                a = a[: i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\r\n            else:\r\n                a = a[: i + 1] + list(range(a[i], a[i + 1] + 1)) + a[i + 1 :]\r\n            break\r\n    if flag:\r\n        break\r\n\r\nprint(*a)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nwhile True:\r\n    flag = True\r\n    for i in range(n - 1):\r\n        if abs(a[i] - a[i + 1]) != 1:\r\n            flag = False\r\n            if a[i] > a[i + 1]:\r\n                a = a[: i + 1] + list(range(a[i], a[i + 1] - 1, -1)) + a[i + 1 :]\r\n            else:\r\n                a = a[: i + 1] + list(range(a[i], a[i + 1] + 1)) + a[i + 1 :]\r\n            break\r\n    if flag:\r\n        break\r\n\r\nprint(*a)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nwhile True:\r\n    flag = True\r\n    for i in range(n - 1):\r\n        if abs(a[i] - a[i + 1]) != 1:\r\n            flag = False\r\n            if a[i] < a[i + 1]:\r\n                a = a[: i + 1] + list(range(a[i] + 1, a[i + 1])) + a[i + 1 :]\r\n            else:\r\n                a = a[: i + 1] + list(range(a[i] - 1, a[i + 1], -1)) + a[i + 1 :]\r\n            break\r\n    if flag:\r\n        break\r\n\r\nprint(*a)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\r\nt = input()\r\n\r\ns = s.replace(\"@\", \"\")\r\nt = t.replace(\"@\", \"\")\r\n\r\nif sorted(s) == sorted(t):\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "s = input()\r\nt = input()\r\n\r\ns = s.replace(\"@\", \"0\")\r\nt = t.replace(\"@\", \"0\")\r\n\r\nif sorted(s) == sorted(t):\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "s = input()\r\nt = input()\r\n\r\ns_count = [0] * 26\r\nt_count = [0] * 26\r\n\r\nfor i in range(len(s)):\r\n    if s[i] != \"@\":\r\n        s_count[ord(s[i]) - ord(\"a\")] += 1\r\n    if t[i] != \"@\":\r\n        t_count[ord(t[i]) - ord(\"a\")] += 1\r\n\r\nfor i in range(len(s)):\r\n    if s[i] == \"@\" and t[i] == \"@\":\r\n        continue\r\n    if s[i] == \"@\":\r\n        if t_count[ord(t[i]) - ord(\"a\")] > 0:\r\n            t_count[ord(t[i]) - ord(\"a\")] -= 1\r\n        else:\r\n            print(\"No\")\r\n            exit()\r\n    elif t[i] == \"@\":\r\n        if s_count[ord(s[i]) - ord(\"a\")] > 0:\r\n            s_count[ord(s[i]) - ord(\"a\")] -= 1\r\n        else:\r\n            print(\"No\")\r\n            exit()\r\n    elif s[i] != t[i]:\r\n        print(\"No\")\r\n        exit()\r\n\r\nprint(\"Yes\")\r",
                "s = input()\r\nt = input()\r\n\r\ns_list = list(s)\r\nt_list = list(t)\r\n\r\ns_count = s.count(\"@\")\r\nt_count = t.count(\"@\")\r\n\r\nif s_count != t_count:\r\n    print(\"No\")\r\nelse:\r\n    s_dict = {}\r\n    t_dict = {}\r\n\r\n    for i in range(len(s)):\r\n        if s_list[i] == \"@\":\r\n            if s_dict.get(t_list[i]) == None:\r\n                s_dict[t_list[i]] = 1\r\n            else:\r\n                s_dict[t_list[i]] += 1\r\n        elif t_list[i] == \"@\":\r\n            if t_dict.get(s_list[i]) == None:\r\n                t_dict[s_list[i]] = 1\r\n            else:\r\n                t_dict[s_list[i]] += 1\r\n        elif s_list[i] != t_list[i]:\r\n            print(\"No\")\r\n            break\r\n\r\n    else:\r\n        for key in s_dict:\r\n            if s_dict[key] > t_dict.get(key, 0):\r\n                print(\"No\")\r\n                break\r\n        else:\r\n            for key in t_dict:\r\n                if t_dict[key] > s_dict.get(key, 0):\r\n                    print(\"No\")\r\n                    break\r\n            else:\r\n                print(\"Yes\")\r",
                "s = input()\r\nt = input()\r\n\r\ns = s.replace(\"@\", \"\")\r\nt = t.replace(\"@\", \"\")\r\n\r\ns = sorted(s)\r\nt = sorted(t)\r\n\r\nif s == t:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "s = input()\r\nt = input()\r\n\r\ns = list(s)\r\nt = list(t)\r\n\r\nfor i in range(len(s)):\r\n    if s[i] == \"@\":\r\n        s[i] = \"a\"\r\n    if t[i] == \"@\":\r\n        t[i] = \"a\"\r\n\r\ns.sort()\r\nt.sort()\r\n\r\nif s == t:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "s = input()\r\nt = input()\r\n\r\ns_count = [0] * 26\r\nt_count = [0] * 26\r\n\r\nfor i in range(len(s)):\r\n    if s[i] == \"@\":\r\n        s_count[ord(\"a\") - ord(\"a\")] += 1\r\n    else:\r\n        s_count[ord(s[i]) - ord(\"a\")] += 1\r\n\r\nfor i in range(len(t)):\r\n    if t[i] == \"@\":\r\n        t_count[ord(\"a\") - ord(\"a\")] += 1\r\n    else:\r\n        t_count[ord(t[i]) - ord(\"a\")] += 1\r\n\r\nfor i in range(26):\r\n    if abs(s_count[i] - t_count[i]) > 1:\r\n        print(\"No\")\r\n        exit()\r\n\r\nprint(\"Yes\")\r",
                "s = input()\r\nt = input()\r\n\r\ns_list = list(s)\r\nt_list = list(t)\r\n\r\ns_count = s.count(\"@\")\r\nt_count = t.count(\"@\")\r\n\r\nif s_count != t_count:\r\n    print(\"No\")\r\nelse:\r\n    s_dict = {}\r\n    t_dict = {}\r\n    for i in range(len(s)):\r\n        if s_list[i] == \"@\":\r\n            if s[i] in s_dict:\r\n                s_dict[s[i]] += 1\r\n            else:\r\n                s_dict[s[i]] = 1\r\n        if t_list[i] == \"@\":\r\n            if t[i] in t_dict:\r\n                t_dict[t[i]] += 1\r\n            else:\r\n                t_dict[t[i]] = 1\r\n\r\n    for key, value in s_dict.items():\r\n        if key not in t_dict or t_dict[key] < value:\r\n            print(\"No\")\r\n            break\r\n    else:\r\n        print(\"Yes\")\r",
                "s = input()\r\nt = input()\r\n\r\ns = list(s)\r\nt = list(t)\r\n\r\nfor i in range(len(s)):\r\n    if s[i] == \"@\" and t[i] == \"@\":\r\n        s[i] = t[i] = \"a\"\r\n    elif s[i] == \"@\":\r\n        s[i] = \"a\"\r\n    elif t[i] == \"@\":\r\n        t[i] = \"a\"\r\n\r\ns = \"\".join(s)\r\nt = \"\".join(t)\r\n\r\nif s == t:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "s = input()\r\nt = input()\r\n\r\nif s == t:\r\n    print(\"Yes\")\r\nelse:\r\n    s_count = [0] * 26\r\n    t_count = [0] * 26\r\n    for i in range(len(s)):\r\n        if s[i] != \"@\":\r\n            s_count[ord(s[i]) - ord(\"a\")] += 1\r\n        if t[i] != \"@\":\r\n            t_count[ord(t[i]) - ord(\"a\")] += 1\r\n    for i in range(len(s)):\r\n        if s[i] == \"@\" and t[i] == \"@\":\r\n            continue\r\n        if s[i] == \"@\":\r\n            if t_count[ord(t[i]) - ord(\"a\")] > 0:\r\n                t_count[ord(t[i]) - ord(\"a\")] -= 1\r\n            else:\r\n                print(\"No\")\r\n                break\r\n        elif t[i] == \"@\":\r\n            if s_count[ord(s[i]) - ord(\"a\")] > 0:\r\n                s_count[ord(s[i]) - ord(\"a\")] -= 1\r\n            else:\r\n                print(\"No\")\r\n                break\r\n        elif s[i] != t[i]:\r\n            print(\"No\")\r\n            break\r\n    else:\r\n        print(\"Yes\")\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nn = int(input())\nans = -1\nfor i in range(2 ** s.count(\"?\")):\n    t = s\n    j = 0\n    for j in range(len(s)):\n        if s[j] == \"?\":\n            t = t[:j] + str(i % 2) + t[j + 1 :]\n            i //= 2\n    if int(t, 2) <= n:\n        ans = max(ans, int(t, 2))\nprint(ans)",
                "s = input()\nn = int(input())\nans = -1\nfor i in range(2 ** s.count(\"?\")):\n    t = s\n    j = 0\n    for k in range(len(t)):\n        if t[k] == \"?\":\n            t = t[:k] + str(i // 2 ** j % 2) + t[k + 1 :]\n            j += 1\n    if int(t, 2) <= n:\n        ans = max(ans, int(t, 2))\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nS = input().strip()\nN = int(input())\n\nans = -1\n\nfor i in range(2 ** S.count(\"?\")):\n    T = S\n    j = 0\n    for c in T:\n        if c == \"?\":\n            T = T[:j] + str(i % 2) + T[j + 1 :]\n            j += 1\n        i //= 2\n    if int(T, 2) <= N:\n        ans = max(ans, int(T, 2))\n\nprint(ans)",
                "s = input()\nn = int(input())\nans = -1\nfor i in range(2 ** s.count(\"?\")):\n    x = s\n    j = 0\n    for k in range(len(s)):\n        if s[k] == \"?\":\n            x = x[:k] + str(i // 2**j % 2) + x[k + 1 :]\n            j += 1\n    if int(x, 2) <= n:\n        ans = max(ans, int(x, 2))\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nS = input().strip()\nN = int(input())\n\nans = -1\n\nfor i in range(2 ** S.count(\"?\")):\n    T = S[:]\n    j = 0\n    for j in range(len(S)):\n        if S[j] == \"?\":\n            T = T[:j] + str(i % 2) + T[j + 1 :]\n            i //= 2\n    if int(T, 2) <= N:\n        ans = max(ans, int(T, 2))\n\nprint(ans)",
                "s = input()\nn = int(input())\n\nans = -1\nfor i in range(2 ** s.count(\"?\")):\n    t = s\n    j = 0\n    for j in range(len(s)):\n        if s[j] == \"?\":\n            t = t[:j] + str(i % 2) + t[j + 1 :]\n            i //= 2\n    if int(t, 2) <= n:\n        ans = max(ans, int(t, 2))\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nS = input().strip()\nN = int(input())\n\nans = -1\n\nfor i in range(2 ** S.count(\"?\")):\n    T = S[:]\n    for j in range(len(S)):\n        if S[j] == \"?\":\n            T = T[:j] + str((i >> (len(S) - j - 1) & 1)) + T[j + 1 :]\n    if int(T, 2) <= N:\n        ans = max(ans, int(T, 2))\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nS = input().strip()\nN = int(input())\n\nans = -1\n\nfor i in range(2 ** S.count(\"?\")):\n    T = S\n    j = 0\n    for j in range(S.count(\"?\")):\n        if T.count(\"?\") == 0:\n            break\n        T = T.replace(\"?\", str(i % 2), 1)\n        i //= 2\n    if int(T, 2) <= N:\n        ans = max(ans, int(T, 2))\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nS = input().strip()\nN = int(input())\n\nans = -1\n\nfor i in range(2 ** S.count(\"?\")):\n    T = S\n    j = 0\n    for j in range(T.count(\"?\")):\n        if i >> j & 1:\n            T = T.replace(\"?\", \"1\", 1)\n        else:\n            T = T.replace(\"?\", \"0\", 1)\n    if int(T, 2) <= N:\n        ans = max(ans, int(T, 2))\n\nprint(ans)",
                "s = input()\nn = int(input())\nans = -1\nfor i in range(2 ** s.count(\"?\")):\n    t = s\n    j = 0\n    for k in range(len(s)):\n        if s[k] == \"?\":\n            t = t[:k] + str(i // 2**j % 2) + t[k + 1 :]\n            j += 1\n    if int(t, 2) <= n:\n        ans = max(ans, int(t, 2))\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = [input() for _ in range(H)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandy = 0\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == 'S':\n            sy, sx = i, j\n        elif grid[i][j] == 'G':\n            gy, gx = i, j\n        elif grid[i][j] == 'o':\n            candy += 1\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\ndist = [[T + 1] * W for _ in range(H)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for i in range(4):\n        ny, nx = y + dy[i], x + dx[i]\n        if 0 <= ny < H and 0 <= nx < W:\n            if grid[ny][nx] != '#' and dist[ny][nx] > dist[y][x] + 1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nif dist[gy][gx] > T:\n    print(-1)\nelse:\n    ans = 0\n    for i in range(H):\n        for j in range(W):\n            if grid[i][j] == 'o' and dist[i][j] + dist[gy][gx] - dist[i][j] <= T:\n                ans = max(ans, dist[i][j])\n    print(ans)",
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = [input() for _ in range(H)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandies = []\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candies.append((i, j))\n\ndist = [[T + 1] * W for _ in range(H)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < H and 0 <= nx < W and grid[ny][nx] != \"#\":\n            if dist[ny][nx] > dist[y][x] + 1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nans = 0\nif dist[gy][gx] <= T:\n    visited = [[False] * W for _ in range(H)]\n    visited[gy][gx] = True\n    q = deque([(gy, gx)])\n    while q:\n        y, x = q.popleft()\n        for dy, dx in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n            ny, nx = y + dy, x + dx\n            if 0 <= ny < H and 0 <= nx < W and grid[ny][nx] != \"#\" and not visited[ny][nx]:\n                if grid[ny][nx] == \"o\":\n                    ans += 1\n                visited[ny][nx] = True\n                q.append((ny, nx))\nprint(ans)",
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = []\nfor _ in range(H):\n    grid.append(list(input()))\n\nstart = []\ngoal = []\ncandies = []\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            start = [i, j]\n        elif grid[i][j] == \"G\":\n            goal = [i, j]\n        elif grid[i][j] == \"o\":\n            candies.append([i, j])\n\ndist = [[-1] * W for _ in range(H)]\ndist[start[0]][start[1]] = 0\nq = deque([start])\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        ny = y + dy\n        nx = x + dx\n        if 0 <= ny < H and 0 <= nx < W:\n            if grid[ny][nx] != \"#\":\n                if dist[ny][nx] == -1:\n                    dist[ny][nx] = dist[y][x] + 1\n                    q.append([ny, nx])\n\nif dist[goal[0]][goal[1]] > T:\n    print(-1)\nelse:\n    visited = set()\n    cnt = 0\n    for candy in candies:\n        if dist[candy[0]][candy[1]] <= T and candy not in visited:\n            cnt += 1\n            visited.add(candy)\n    print(cnt)",
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = [list(input()) for _ in range(H)]\nsy, sx, gy, gx = -1, -1, -1, -1\ncandies = []\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candies.append((i, j))\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\ndist = [[T + 1] * W for _ in range(H)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for i in range(4):\n        ny, nx = y + dy[i], x + dx[i]\n        if 0 <= ny < H and 0 <= nx < W and grid[ny][nx] != \"#\":\n            if dist[ny][nx] > dist[y][x] + 1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nans = 0\nif dist[gy][gx] <= T:\n    for cy, cx in candies:\n        if dist[cy][cx] < dist[gy][gx]:\n            ans += 1\nprint(ans)",
                "from collections import deque\n\nh, w, t = map(int, input().split())\ngrid = [input() for _ in range(h)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandies = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candies += 1\n\ndist = [[-1] * w for _ in range(h)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (1, 0), (0, -1), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] != \"#\":\n            if dist[ny][nx] == -1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nans = -1\nif dist[gy][gx] <= t:\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            if dist[i][j] <= t and grid[i][j] == \"o\":\n                ans += 1\nprint(ans)",
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = [input() for _ in range(H)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandy = 0\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candy += 1\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\ndist = [[T + 1] * W for _ in range(H)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for i in range(4):\n        ny, nx = y + dy[i], x + dx[i]\n        if 0 <= ny < H and 0 <= nx < W and grid[ny][nx] != \"#\":\n            if dist[ny][nx] > dist[y][x] + 1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nans = -1\nif dist[gy][gx] <= T:\n    ans = 0\n    for i in range(H):\n        for j in range(W):\n            if dist[i][j] <= T and grid[i][j] == \"o\":\n                ans += 1\nprint(ans)",
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = [list(input()) for _ in range(H)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandy = 0\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == 'S':\n            sy, sx = i, j\n        elif grid[i][j] == 'G':\n            gy, gx = i, j\n        elif grid[i][j] == 'o':\n            candy += 1\n\nif T < abs(sy - gy) + abs(sx - gx):\n    print(-1)\n    exit()\n\nvisited = [[False] * W for _ in range(H)]\nvisited[sy][sx] = True\nq = deque([(sy, sx, 0, 0)])\nwhile q:\n    y, x, d, c = q.popleft()\n    if y == gy and x == gx:\n        print(c)\n        break\n    for dy, dx in [(1, 0), (-1, 0), (0, 1), (0, -1)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < H and 0 <= nx < W and grid[ny][nx] != '#' and not visited[ny][nx]:\n            visited[ny][nx] = True\n            if grid[ny][nx] == 'o':\n                c += 1\n            q.append((ny, nx, d + 1, c))",
                "from collections import deque\n\nh, w, t = map(int, input().split())\ngrid = [list(input()) for _ in range(h)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandies = []\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candies.append((i, j))\n\ndist = [[t + 1] * w for _ in range(h)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] != \"#\":\n            if dist[ny][nx] > dist[y][x] + 1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nif dist[gy][gx] > t:\n    print(-1)\nelse:\n    ans = 0\n    for y, x in candies:\n        if dist[y][x] < dist[gy][gx]:\n            ans += 1\n    print(ans)",
                "from collections import deque\n\nh, w, t = map(int, input().split())\ngrid = [input() for _ in range(h)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandies = []\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candies.append((i, j))\n\nvisited = [[False] * w for _ in range(h)]\ndist = [[t + 1] * w for _ in range(h)]\ndist[sy][sx] = 0\nq = deque([(sy, sx)])\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (1, 0), (0, -1), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] != \"#\":\n            if dist[ny][nx] > dist[y][x] + 1:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nif dist[gy][gx] > t:\n    print(-1)\nelse:\n    ans = 0\n    for y, x in candies:\n        if dist[y][x] < dist[gy][gx]:\n            ans += 1\n    print(ans)",
                "from collections import deque\n\nH, W, T = map(int, input().split())\ngrid = [input() for _ in range(H)]\nsy, sx, gy, gx = 0, 0, 0, 0\ncandies = 0\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"G\":\n            gy, gx = i, j\n        elif grid[i][j] == \"o\":\n            candies += 1\n\nif candies > T:\n    print(-1)\n    exit()\n\nvisited = [[False] * W for _ in range(H)]\nq = deque([(sx, sy, 0, 0)])\nvisited[sy][sx] = True\nwhile q:\n    x, y, d, c = q.popleft()\n    if x == gx and y == gy:\n        print(c)\n        exit()\n    for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        nx, ny = x + dx, y + dy\n        if 0 <= ny < H and 0 <= nx < W:\n            if not visited[ny][nx] and grid[ny][nx] != \"#\":\n                if grid[ny][nx] == \"o\":\n                    c += 1\n                q.append((nx, ny, d + 1, c))\n                visited[ny][nx] = True\nprint(-1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N <= 3:\n    print(52 ** N % mod)\n    exit()\n\ndp = [[0] * 2 for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        dp[i + 1][0] = (dp[i][0] + dp[i][1]) % mod\n        dp[i + 1][1] = (dp[i][1] * 26) % mod\n    elif c.isupper():\n        dp[i + 1][0] = dp[i][0]\n        dp[i + 1][1] = (dp[i][1] * 26 + dp[i][0]) % mod\n    else:\n        dp[i + 1][0] = dp[i][1]\n\nans = dp[N][0] + dp[N][1] * 26\nprint(ans % mod)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N == 4:\n    if S in [\"AAAA\", \"A?AA\", \"A?aA\", \"A?a?\", \"??AA\", \"??aA\", \"??a?\", \"???A\", \"???a\"]:\n        print(0)\n    else:\n        print(52**S.count(\"?\"))\n    exit()\n\ndp = [[0] * 27 for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 52) % mod\n    elif c.isupper():\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n            if j != ord(c) - ord(\"A\"):\n                dp[i + 1][ord(c) - ord(\"A\")] = (\n                    dp[i + 1][ord(c) - ord(\"A\")] + dp[i][j]\n                ) % mod\n    else:\n        for j in range(26):\n            if j != ord(c) - ord(\"a\"):\n                dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n\nans = 0\nfor i in range(26):\n    ans = (ans + dp[N][i]) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N == 4:\n    if S in [\"AAAA\", \"A?AA\", \"A??A\", \"A???\"]:\n        print(26 * 26)\n    elif S in [\"A?aA\", \"A??a\"]:\n        print(26 * 25)\n    elif S in [\"A?a?\", \"A??a?\", \"A?a??\"]:\n        print(26 * 25 * 25)\n    elif S in [\"A?Aa\", \"A??Aa\", \"A?A?a\"]:\n        print(26 * 25 * 25 * 25)\n    else:\n        print(pow(52, S.count(\"?\"), mod))\n    exit()\n\ndp = [[0] * 27 for _ in range(N + 1)]\ndp[0][0] = 1\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 52) % mod\n    elif c.isupper():\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n            if j != ord(c) - 65:\n                dp[i + 1][ord(c) - 65] = (dp[i + 1][ord(c) - 65] + dp[i][j]) % mod\n    else:\n        for j in range(26):\n            if j != ord(c) - 97:\n                dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n\nans = 0\nfor i in range(26):\n    ans = (ans + dp[N][i]) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\nS = input().strip()\nN = len(S)\n\nif N == 4:\n    if S[0] == S[1] and S[0].isupper() and S[2].islower() and S[3].isupper():\n        print(0)\n    else:\n        print(52**S.count(\"?\"))\n    exit()\n\ndp = [[0] * 2 for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"?\":\n        dp[i + 1][0] = (dp[i + 1][0] + 52 * dp[i][0]) % mod\n        dp[i + 1][1] = (dp[i + 1][1] + 26 * dp[i][1]) % mod\n    elif S[i].isupper():\n        dp[i + 1][0] = (dp[i + 1][0] + dp[i][0]) % mod\n        if i >= 1 and S[i - 1] == S[i]:\n            dp[i + 1][1] = (dp[i + 1][1] + dp[i][1]) % mod\n        else:\n            dp[i + 1][1] = (dp[i + 1][1] + 26 * dp[i][1]) % mod\n    else:\n        dp[i + 1][0] = (dp[i + 1][0] + dp[i][0]) % mod\n        dp[i + 1][1] = (dp[i + 1][1] + 26 * dp[i][1]) % mod\n\nprint((52**S.count(\"?\") * dp[N][0] + dp[N][1]) % mod)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N < 4:\n    print(52 ** N % mod)\n    exit()\n\ndp = [[0] * 26 for _ in range(N + 1)]\ndp[0][0] = 1\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + 26 * dp[i][j]) % mod\n    elif c.isupper():\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n            dp[i + 1][ord(c) - 65] = (dp[i + 1][ord(c) - 65] + dp[i][j]) % mod\n    else:\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n\nans = 0\nfor i in range(26):\n    ans = (ans + dp[N][i]) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N <= 3:\n    print(52 ** N % mod)\n    exit()\n\nINF = 10**18\ndp = [[INF] * 27 for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        for j in range(26):\n            dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] * 52 % mod)\n    elif c.isupper():\n        for j in range(26):\n            dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] * 26 % mod)\n            if j != ord(c) - ord(\"A\"):\n                dp[i + 1][ord(c) - ord(\"A\")] = min(\n                    dp[i + 1][ord(c) - ord(\"A\")], dp[i][j] * 26 % mod\n                )\n    else:\n        for j in range(26):\n            if j != ord(c) - ord(\"a\"):\n                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] * 25 % mod)\n\nans = 0\nfor i in range(26):\n    ans += dp[N][i]\n    ans %= mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N <= 3:\n    print(52 ** N % mod)\n    exit()\n\ndp = [[0] * 2 for _ in range(N + 1)]\ndp[0][0] = 1\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        dp[i + 1][0] = (dp[i][0] + dp[i][1]) % mod\n        dp[i + 1][1] = (dp[i][1] * 26) % mod\n    elif c.isupper():\n        dp[i + 1][0] = dp[i][0]\n        dp[i + 1][1] = (dp[i][1] + dp[i][0] * 25) % mod\n    else:\n        dp[i + 1][0] = (dp[i][0] + dp[i][1] * 26) % mod\n        dp[i + 1][1] = dp[i][1]\n\nans = 0\nfor i in range(26):\n    for j in range(26):\n        if i == j:\n            continue\n        for k in range(26):\n            if k == i or k == j:\n                continue\n        ans = (ans + dp[N][0] * 26 + dp[N][1] - dp[N - 1][(ord(i) - 65) // 2] - dp[N - 2][(ord(j) - 65) // 2] - dp[N - 3][(ord(k) - 65) // 2]) % mod\n\nprint(ans % mod)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\nS = input().strip()\nN = len(S)\n\nif N <= 3:\n    print(52 ** N % mod)\n    exit()\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j] * 52) % mod\n    elif c.isupper():\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j] * 25) % mod\n    else:\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j] * 26) % mod\n\nans = 0\nfor i in range(N + 1):\n    ans = (ans + dp[N][i]) % mod\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N == 4:\n    if S in [\"AAAA\", \"A?AA\", \"A?aA\", \"A?a?\", \"A?a?\"]:\n        print(0)\n    else:\n        print(52**S.count(\"?\"))\n    exit()\n\ndp = [[0] * 26 for _ in range(N + 1)]\ndp[0][0] = 1\nfor i in range(N):\n    if S[i] == \"?\":\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 52) % mod\n    else:\n        for j in range(26):\n            if chr(ord(\"A\") + j) != S[i]:\n                dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n            else:\n                dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 25) % mod\n\nans = 0\nfor i in range(26):\n    ans = (ans + dp[N][i]) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\nif N <= 3:\n    print(52 ** N % mod)\n    exit()\n\ndp = [[0] * 26 for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    c = S[i]\n    if c == \"?\":\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 52) % mod\n    elif c.isupper():\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n        dp[i + 1][ord(c) - ord(\"A\")] = (dp[i + 1][ord(c) - ord(\"A\")] + dp[i][ord(c) - ord(\"A\")]) % mod\n    else:\n        for j in range(26):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 25) % mod\n\nans = 0\nfor i in range(26):\n    ans = (ans + dp[N][i]) % mod\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)",
                "a, b = map(int, input().split())\nprint((a + b - 1) // b)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\nS = [input().rstrip() for _ in range(H)]\n\nfor i in range(H - 4):\n    for j in range(W - 4):\n        if S[i][j] == \"s\" and S[i][j + 1] == \"n\" and S[i][j + 2] == \"u\" and S[i + 1][j + 2] == \"k\" and S[i + 2][j + 2] == \"e\":\n            for k in range(5):\n                print(i + k, j + k)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j] == \"n\" and S[i + 2][j] == \"u\" and S[i + 2][j + 1] == \"k\" and S[i + 2][j + 2] == \"e\":\n            for k in range(5):\n                print(i + k, j + k)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j] == \"n\" and S[i + 2][j] == \"u\" and S[i + 2][j + 1] == \"k\" and S[i + 3][j + 1] == \"e\":\n            for k in range(5):\n                print(i + k, j + k - 1)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j] == \"n\" and S[i + 1][j + 1] == \"u\" and S[i + 2][j + 1] == \"k\" and S[i + 3][j + 1] == \"e\":\n            for k in range(5):\n                print(i + k, j + k - 1)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j] == \"n\" and S[i + 2][j] == \"u\" and S[i + 3][j] == \"k\" and S[i + 4][j] == \"e\":\n            for k in range(5):\n                print(i + k, j)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j] == \"n\" and S[i + 2][j] == \"u\" and S[i + 3][j + 1] == \"k\" and S[i + 4][j + 1] == \"e\":\n            for k in range(5):\n                print(i + k, j + k - 1)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j] == \"n\" and S[i + 2][j + 1] == \"u\" and S[i + 3][j + 1] == \"k\" and S[i + 4][j + 1] == \"e\":\n            for k in range(5):\n                print(i + k, j + k - 1)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j + 1] == \"n\" and S[i + 2][j + 1] == \"u\" and S[i + 3][j + 1] == \"k\" and S[i + 4][j + 1] == \"e\":\n            for k in range(5):\n                print(i + k, j + k)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j + 1] == \"n\" and S[i + 2][j + 1] == \"u\" and S[i + 3][j + 1] == \"k\" and S[i + 4][j + 2] == \"e\":\n            for k in range(5):\n                print(i + k, j + k)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j + 1] == \"n\" and S[i + 2][j + 1] == \"u\" and S[i + 3][j + 2] == \"k\" and S[i + 4][j + 2] == \"e\":\n            for k in range(5):\n                print(i + k, j + k)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j + 1] == \"n\" and S[i + 2][j + 2] == \"u\" and S[i + 3][j + 2] == \"k\" and S[i + 4][j + 2] == \"e\":\n            for k in range(5):\n                print(i + k, j + k)\n            exit()\n        if S[i][j] == \"s\" and S[i + 1][j + 2] == \"n\" and S[i + 2][j + 2] == \"u\" and S[i + 3][j + 2] == \"k\" and S[i + 4][j + 2] == \"e\":\n            for k in range(5):\n                print(i + k, j + k + 1)\n            exit()",
                "",
                "def main():\n    h, w = map(int, input().split())\n    s = [input() for _ in range(h)]\n    for i in range(h - 4):\n        for j in range(w - 4):\n            if s[i][j] == \"s\" and s[i][j + 1] == \"n\" and s[i][j + 2] == \"u\" and s[i][j + 3] == \"k\" and s[i][j + 4] == \"e\":\n                for di in range(-1, 2):\n                    for dj in range(-1, 2):\n                        if di == 0 and dj == 0:\n                            continue\n                        ok = True\n                        for k in range(5):\n                            ni, nj = i + k * di, j + k * dj\n                            if ni < 0 or ni >= h or nj < 0 or nj >= w:\n                                ok = False\n                                break\n                            if k == 0:\n                                if s[ni][nj] != \"s\":\n                                    ok = False\n                                    break\n                            elif k == 1:\n                                if s[ni][nj] != \"n\":\n                                    ok = False\n                                    break\n                            elif k == 2:\n                                if s[ni][nj] != \"u\":\n                                    ok = False\n                                    break\n                            elif k == 3:\n                                if s[ni][nj] != \"k\":\n                                    ok = False\n                                    break\n                            else:\n                                if s[ni][nj] != \"e\":\n                                    ok = False\n                                    break\n                        if ok:\n                            for k in range(5):\n                                print(i + k * di + 1, j + k * dj + 1)\n                            return\n    print(-1, -1)\n\n\nmain()",
                "h, w = map(int, input().split())\ns = [input() for _ in range(h)]\n\nfor i in range(h - 4):\n    for j in range(w - 4):\n        if s[i][j] == \"s\" and s[i][j + 1] == \"n\" and s[i][j + 2] == \"u\" and s[i][j + 3] == \"k\" and s[i][j + 4] == \"e\":\n            print(i + 1, j + 1)\n            print(i + 1, j + 2)\n            print(i + 1, j + 3)\n            print(i + 1, j + 4)\n            print(i + 1, j + 5)\n            exit()\n        if s[i][j] == \"s\" and s[i + 1][j] == \"n\" and s[i + 2][j] == \"u\" and s[i + 3][j] == \"k\" and s[i + 4][j] == \"e\":\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            print(i + 4, j + 1)\n            print(i + 5, j + 1)\n            exit()\n        if s[i][j] == \"s\" and s[i + 1][j + 1] == \"n\" and s[i + 2][j + 2] == \"u\" and s[i + 3][j + 3] == \"k\" and s[i + 4][j + 4] == \"e\":\n            print(i + 1, j + 1)\n            print(i + 2, j + 2)\n            print(i + 3, j + 3)\n            print(i + 4, j + 4)\n            print(i + 5, j + 5)\n            exit()\n        if s[i][j + 4] == \"s\" and s[i + 1][j + 3] == \"n\" and s[i + 2][j + 2] == \"u\" and s[i + 3][j + 1] == \"k\" and s[i + 4][j] == \"e\":\n            print(i + 1, j + 5)\n            print(i + 2, j + 4)\n            print(i + 3, j + 3)\n            print(i + 4, j + 2)\n            print(i + 5, j + 1)\n            exit()",
                "import sys\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\nS = [input().rstrip() for _ in range(H)]\n\nfor i in range(H - 4):\n    for j in range(W - 4):\n        if S[i][j] == 's' and S[i][j + 1] == 'n' and S[i][j + 2] == 'u' and S[i][j + 3] == 'k' and S[i][j + 4] == 'e':\n            print(i + 1, j + 1)\n            print(i + 1, j + 2)\n            print(i + 1, j + 3)\n            print(i + 1, j + 4)\n            print(i + 1, j + 5)\n            sys.exit()\n        if S[i][j] == 's' and S[i + 1][j] == 'n' and S[i + 2][j] == 'u' and S[i + 3][j] == 'k' and S[i + 4][j] == 'e':\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            print(i + 4, j + 1)\n            print(i + 5, j + 1)\n            sys.exit()\n        if S[i][j] == 's' and S[i + 1][j + 1] == 'n' and S[i + 2][j + 2] == 'u' and S[i + 3][j + 3] == 'k' and S[i + 4][j + 4] == 'e':\n            print(i + 1, j + 1)\n            print(i + 2, j + 2)\n            print(i + 3, j + 3)\n            print(i + 4, j + 4)\n            print(i + 5, j + 5)\n            sys.exit()\n        if S[i][j + 4] == 's' and S[i + 1][j + 3] == 'n' and S[i + 2][j + 2] == 'u' and S[i + 3][j + 1] == 'k' and S[i + 4][j] == 'e':\n            print(i + 1, j + 4)\n            print(i + 2, j + 3)\n            print(i + 3, j + 2)\n            print(i + 4, j + 1)\n            print(i + 5, j + 1)\n            sys.exit()\n        if S[i + 4][j] == 's' and S[i + 3][j] == 'n' and S[i + 2][j] == 'u' and S[i + 1][j] == 'k' and S[i][j] == 'e':\n            print(i + 4, j + 1)\n            print(i + 3, j + 1)\n            print(i + 2, j + 1)\n            print(i + 1, j + 1)\n            print(i, j + 1)\n            sys.exit()\n        if S[i + 4][j + 4] == 's' and S[i + 3][j + 3] == 'n' and S[i + 2][j + 2] == 'u' and S[i + 1][j + 1] == 'k' and S[i][j] == 'e':\n            print(i + 4, j + 4)\n            print(i + 3, j + 3)\n            print(i + 2, j + 2)\n            print(i + 1, j + 1)\n            print(i, j)\n            sys.exit()\n        if S[i][j + 4] == 's' and S[i + 1][j + 3] == 'n' and S[i + 2][j + 2] == 'u' and S[i + 3][j + 1] == 'k' and S[i + 4][j] == 'e':\n            print(i + 1, j + 4)\n            print(i + 2, j + 3)\n            print(i + 3, j + 2)\n            print(i + 4, j + 1)\n            print(i + 5, j)\n            sys.exit()\n        if S[i + 4][j + 4] == 's' and S[i + 3][j + 3] == 'n' and S[i + 2][j + 2] == 'u' and S[i + 1][j + 1] == 'k' and S[i][j] == 'e':\n            print(i + 4, j + 4)\n            print(i + 3, j + 3)\n            print(i + 2, j + 2)\n            print(i + 1, j + 1)\n            print(i, j)",
                "h, w = map(int, input().split())\ns = [input() for _ in range(h)]\n\nfor i in range(h - 4):\n    for j in range(w - 4):\n        if s[i][j] == \"s\" and s[i][j + 1] == \"n\" and s[i + 1][j + 2] == \"u\" and s[i + 2][j + 3] == \"k\" and s[i + 3][j + 4] == \"e\":\n            for x in range(5):\n                print(i + x + 1, j + x + 1)\n            exit()\n        if s[i][j] == \"s\" and s[i + 1][j] == \"n\" and s[i + 2][j] == \"u\" and s[i + 3][j] == \"k\" and s[i + 4][j] == \"e\":\n            for x in range(5):\n                print(i + x, j + 1)\n            exit()\n        if s[i][j] == \"s\" and s[i + 1][j + 1] == \"n\" and s[i + 2][j + 2] == \"u\" and s[i + 3][j + 3] == \"k\" and s[i + 4][j + 4] == \"e\":\n            for x in range(5):\n                print(i + x, j + x)\n            exit()\n        if s[i][j + 4] == \"s\" and s[i + 1][j + 3] == \"n\" and s[i + 2][j + 2] == \"u\" and s[i + 3][j + 1] == \"k\" and s[i + 4][j] == \"e\":\n            for x in range(5):\n                print(i + x, j + 4 - x)\n            exit()",
                "def main():\n    h, w = map(int, input().split())\n    s = [input() for _ in range(h)]\n    for i in range(h - 4):\n        for j in range(w - 4):\n            if s[i][j] == 's' and s[i][j + 1] == 'n' and s[i][j + 2] == 'u' and s[i][j + 3] == 'k' and s[i][j + 4] == 'e':\n                for di in range(-1, 2):\n                    for dj in range(-1, 2):\n                        if di == 0 and dj == 0:\n                            continue\n                        ok = True\n                        for k in range(5):\n                            ni, nj = i + k * di, j + k * dj\n                            if ni < 0 or ni >= h or nj < 0 or nj >= w:\n                                ok = False\n                                break\n                            if k == 0 and s[ni][nj] != 's':\n                                ok = False\n                                break\n                            if k == 1 and s[ni][nj] != 'n':\n                                ok = False\n                                break\n                            if k == 2 and s[ni][nj] != 'u':\n                                ok = False\n                                break\n                            if k == 3 and s[ni][nj] != 'k':\n                                ok = False\n                                break\n                            if k == 4 and s[ni][nj] != 'e':\n                                ok = False\n                                break\n                        if ok:\n                            for k in range(5):\n                                print(i + k * di + 1, j + k * dj + 1)\n                            return\n    print(-1, -1)\n    print(-1, -1)\n    print(-1, -1)\n    print(-1, -1)\n    print(-1, -1)\n\n\nmain()",
                "h, w = map(int, input().split())\ns = [input() for _ in range(h)]\nfor i in range(h - 4):\n    for j in range(w - 4):\n        if s[i][j] + s[i][j + 1] + s[i][j + 2] + s[i + 1][j + 1] + s[i + 2][j] + s[i + 2][j + 1] + s[i + 2][j + 2] + s[i + 3][j + 1] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i + 1, j + 2)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            print(i + 4, j + 1)\n            exit()\n        if s[i][j] + s[i + 1][j] + s[i + 2][j] + s[i + 3][j] + s[i][j + 1] + s[i + 1][j + 1] + s[i + 2][j + 1] + s[i + 1][j + 2] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j + 2)\n            print(i + 1, j + 1)\n            print(i + 1, j + 2)\n            print(i + 2, j + 1)\n            exit()\n        if s[i][j] + s[i][j + 1] + s[i][j + 2] + s[i + 1][j + 3] + s[i + 1][j] + s[i + 1][j + 1] + s[i + 1][j + 2] + s[i + 2][j + 1] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j + 1)\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 2, j + 2)\n            exit()\n        if s[i][j] + s[i + 1][j] + s[i + 2][j] + s[i + 3][j] + s[i + 1][j + 1] + s[i + 2][j + 1] + s[i + 3][j + 1] + s[i + 2][j + 2] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j + 1)\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            exit()\n        if s[i][j] + s[i + 1][j] + s[i + 2][j] + s[i + 3][j] + s[i + 1][j - 1] + s[i + 1][j + 1] + s[i + 2][j + 1] + s[i + 1][j + 2] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j)\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            exit()\n        if s[i][j] + s[i][j + 1] + s[i][j + 2] + s[i][j + 3] + s[i + 1][j] + s[i + 1][j + 1] + s[i + 1][j + 2] + s[i + 2][j + 1] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j + 1)\n            print(i + 1, j + 1)\n            print(i + 1, j + 2)\n            print(i + 1, j + 3)\n            exit()\n        if s[i][j] + s[i + 1][j] + s[i + 2][j] + s[i + 3][j] + s[i][j + 1] + s[i + 1][j + 1] + s[i + 2][j + 1] + s[i + 3][j + 1] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j + 1)\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            exit()\n        if s[i][j] + s[i + 1][j] + s[i + 2][j] + s[i + 3][j] + s[i + 1][j + 1] + s[i + 2][j + 1] + s[i + 3][j + 1] + s[i + 2][j + 2] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j + 1)\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            exit()\n        if s[i][j] + s[i + 1][j] + s[i + 2][j] + s[i + 3][j] + s[i + 1][j - 1] + s[i + 1][j + 1] + s[i + 2][j + 1] + s[i + 3][j + 1] == \"snuuke\":\n            print(i + 1, j + 1)\n            print(i, j)\n            print(i + 1, j + 1)\n            print(i + 2, j + 1)\n            print(i + 3, j + 1)\n            exit()",
                "h, w = map(int, input().split())\ns = [input() for _ in range(h)]\n\nfor i in range(h - 4):\n    for j in range(w - 4):\n        if s[i][j] == \"s\" and s[i][j + 1] == \"n\" and s[i][j + 2] == \"u\" and s[i][j + 3] == \"k\" and s[i][j + 4] == \"e\":\n            for di in range(-1, 2):\n                for dj in range(-1, 2):\n                    if di == 0 and dj == 0:\n                        continue\n                    ok = True\n                    for k in range(5):\n                        ni = i + k * di\n                        nj = j + k * dj\n                        if ni < 0 or ni >= h or nj < 0 or nj >= w:\n                            ok = False\n                            break\n                        if k == 0 and s[ni][nj] != \"s\":\n                            ok = False\n                            break\n                        if k == 1 and s[ni][nj] != \"n\":\n                            ok = False\n                            break\n                        if k == 2 and s[ni][nj] != \"u\":\n                            ok = False\n                            break\n                        if k == 3 and s[ni][nj] != \"k\":\n                            ok = False\n                            break\n                        if k == 4 and s[ni][nj] != \"e\":\n                            ok = False\n                            break\n                    if ok:\n                        for k in range(5):\n                            print(i + k * di + 1, j + k * dj + 1)\n                        exit()",
                "h, w = map(int, input().split())\ns = [input() for _ in range(h)]\n\nfor i in range(h - 4):\n    for j in range(w - 4):\n        if s[i][j] + s[i][j + 1] + s[i][j + 2] + s[i + 1][j + 1] + s[i + 2][j] + s[i + 2][j + 1] + s[i + 2][j + 2] + s[i + 3][j + 1] == \"snuuke\":\n            for k in range(5):\n                print(i + k, j + 1)\n            exit()\n        if s[i][j] + s[i][j + 1] + s[i][j + 2] + s[i + 1][j] + s[i + 1][j + 2] + s[i + 2][j] + s[i + 2][j + 1] + s[i + 3][j + 1] == \"snuuke\":\n            for k in range(5):\n                print(i + k, j + 2 - k)\n            exit()\n        if s[i][j] + s[i][j + 1] + s[i][j + 2] + s[i + 1][j] + s[i + 1][j + 1] + s[i + 2][j + 2] + s[i + 3][j] + s[i + 3][j + 1] == \"snuuke\":\n            for k in range(5):\n                print(i + k, j + 3 - k)\n            exit()\n        if s[i][j] + s[i][j + 1] + s[i + 1][j - 1] + s[i + 1][j] + s[i + 1][j + 1] + s[i + 2][j] + s[i + 2][j + 1] + s[i + 3][j + 1] == \"snuuke\":\n            for k in range(5):\n                print(i + k, j + 2 - k)\n            exit()\n        if s[i][j] + s[i][j + 1] + s[i + 1][j - 1] + s[i + 1][j] + s[i + 1][j + 1] + s[i + 2][j] + s[i + 3][j] + s[i + 3][j + 1] == \"snuuke\":\n            for k in range(5):\n                print(i + k, j + 2 - k)\n            exit()\n        if s[i][j] + s[i + 1][j - 1] + s[i + 1][j] + s[i + 1][j + 1] + s[i + 2][j] + s[i + 2][j + 1] + s[i + 3][j] + s[i + 3][j + 1] == \"snuuke\":\n            for k in range(5):\n                print(i + k, j + 1)\n            exit()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        cnt = 0\n        for k in range(m):\n            if s[i][k] != s[j][k]:\n                cnt += 1\n        if cnt == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n\nfor i in range(n - 1):\n    cnt = 0\n    for j in range(m):\n        if s[i][j] != s[i + 1][j]:\n            cnt += 1\n    if cnt != 1:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        d = sum(a != b for a, b in zip(s[i], s[j]))\n        if d == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n    else:\n        print(\"No\")\n        exit()\n\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        cnt = 0\n        for k in range(m):\n            if s[i][k] != s[j][k]:\n                cnt += 1\n        if cnt == 1:\n            s[i], s[j] = s[j], s[i]\n\nfor i in range(n - 1):\n    cnt = 0\n    for j in range(m):\n        if s[i][j] != s[i + 1][j]:\n            cnt += 1\n    if cnt != 1:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        d = sum(a != b for a, b in zip(s[i], s[j]))\n        if d == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n    else:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        cnt = 0\n        for k in range(m):\n            if s[i][k] != s[j][k]:\n                cnt += 1\n        if cnt == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n\nfor i in range(n - 1):\n    cnt = 0\n    for j in range(m):\n        if s[i][j] != s[i + 1][j]:\n            cnt += 1\n    if cnt != 1:\n        print(\"No\")\n        exit()\n\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        d = sum(a != b for a, b in zip(s[i], s[j]))\n        if d == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n    else:\n        print(\"No\")\n        exit()\n\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        d = 0\n        for k in range(m):\n            if s[i][k] != s[j][k]:\n                d += 1\n        if d == 1:\n            break\n    else:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        d = sum(a != b for a, b in zip(s[i], s[j]))\n        if d == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n    else:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(n):\n        if i != j:\n            cnt = 0\n            for k in range(m):\n                if s[i][k] != s[j][k]:\n                    cnt += 1\n            if cnt == 1:\n                break\n        if j == n - 1:\n            print(\"No\")\n            exit()\nprint(\"Yes\")",
                "n, m = map(int, input().split())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        cnt = 0\n        for k in range(m):\n            if s[i][k] != s[j][k]:\n                cnt += 1\n        if cnt == 1:\n            s[i], s[j] = s[j], s[i]\n            break\n    else:\n        print(\"No\")\n        exit()\nprint(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = bisect_left(b, a[i] - d)\n    if j != m:\n        ans = max(ans, a[i] + b[j])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = 0\n    while j < m and b[j] < a[i] - d:\n        j += 1\n    if j == m:\n        break\n    ans = max(ans, a[i] + b[j])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M, D) = map(int, input().split())\nA = list(map(int, input().split()))\nB = list(map(int, input().split()))\nA.sort()\nB.sort()\nans = -1\nfor a in A:\n    for b in B:\n        if abs(a - b) <= D:\n            ans = max(ans, a + b)\n            break\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = 0\n    while j < m and b[j] < a[i] - d:\n        j += 1\n    if j == m:\n        break\n    ans = max(ans, a[i] + b[j])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, b[i] + a[-1])\n        break\nfor i in range(n):\n    j = 0\n    while j < m and b[j] < a[i] - d:\n        j += 1\n    if j < m:\n        ans = max(ans, a[i] + b[j])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = 0\n    while j < m and a[i] - d >= b[j]:\n        j += 1\n    if j == m:\n        continue\n    ans = max(ans, a[i] + b[j])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = 0\n    while j < m and b[j] < a[i] - d:\n        j += 1\n    if j == m:\n        break\n    ans = max(ans, a[i] + b[j])\nfor i in range(m):\n    j = 0\n    while j < n and a[j] < b[i] - d:\n        j += 1\n    if j == n:\n        break\n    ans = max(ans, a[j] + b[i])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = 0\n    while j < m and b[j] < a[i] - d:\n        j += 1\n    if j == m:\n        continue\n    ans = max(ans, a[i] + b[j])\nif ans == -1:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M, D) = map(int, input().split())\nA = list(map(int, input().split()))\nB = list(map(int, input().split()))\nA.sort()\nB.sort()\nans = -1\nfor a in A:\n    for b in B:\n        if abs(a - b) <= D:\n            ans = max(ans, a + b)\n            break\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m, d) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = -1\nfor i in range(n):\n    if a[i] + d >= b[-1]:\n        ans = max(ans, a[i] + b[-1])\n        break\nfor i in range(m):\n    if b[i] + d >= a[-1]:\n        ans = max(ans, a[-1] + b[i])\n        break\nfor i in range(n):\n    j = min(i + 1, n - 1)\n    while j < n and a[j] - a[i] <= d:\n        if a[j] + d >= b[i]:\n            ans = max(ans, a[j] + b[i])\n        j += 1\n    if ans >= a[i] + b[-1]:\n        break\nfor i in range(m):\n    j = min(i + 1, m - 1)\n    while j < m and b[j] - b[i] <= d:\n        if b[j] + d >= a[i]:\n            ans = max(ans, a[i] + b[j])\n        j += 1\n    if ans >= a[-1] + b[i]:\n        break\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        for i in range(len(graph[v - 1])):\n            u = graph[v - 1][i]\n            graph[u].remove(v - 1)\n            graph[v - 1].remove(u)\n        cnt += 1\n\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        for i in range(len(graph[v - 1])):\n            u = graph[v - 1][i]\n            graph[u].remove(v - 1)\n            graph[v - 1].remove(u)\n        cnt += 1\n\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        for i in range(len(graph[v - 1])):\n            graph[graph[v - 1][i]].remove(v - 1)\n        graph[v - 1] = []\n        cnt += 1\n\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        u -= 1\n        v -= 1\n        graph[u].append(v)\n        graph[v].append(u)\n        cnt -= 1\n    else:\n        v = query[1] - 1\n        for i in graph[v]:\n            graph[i].remove(v)\n        graph[v] = []\n        cnt = N\n        for i in range(N):\n            if graph[i]:\n                cnt -= 1\n                break\n        for i in range(N):\n            if not graph[i]:\n                cnt += 1\n                break\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        for i in range(len(graph[v - 1])):\n            graph[graph[v - 1][i]].remove(v - 1)\n        graph[v - 1] = []\n        cnt += 1\n\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n    else:\n        v = query[1]\n        graph[v - 1] = []\n\n    cnt = 0\n    for g in graph:\n        if not g:\n            cnt += 1\n\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        for i in graph[v - 1]:\n            if i in graph[v - 1]:\n                graph[v - 1].remove(i)\n            if v - 1 in graph[i]:\n                graph[i].remove(v - 1)\n        cnt += 1\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        for i in range(len(graph[v - 1])):\n            u = graph[v - 1][i]\n            graph[u].remove(v - 1)\n            graph[v - 1].remove(u)\n        cnt += 1\n    print(cnt)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n    else:\n        v = query[1]\n        graph[v - 1] = []\n\n    isolated = 0\n    for i in range(N):\n        if len(graph[i]) == 0:\n            isolated += 1\n\n    print(isolated)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\ncnt = N\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        u, v = query[1:]\n        graph[u - 1].append(v - 1)\n        graph[v - 1].append(u - 1)\n        cnt -= 1\n    else:\n        v = query[1]\n        graph[v - 1] = []\n        for i in range(N):\n            if i != v - 1 and (v - 1) in graph[i]:\n                graph[i].remove(v - 1)\n        cnt += 1\n\n    print(cnt)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import deque\n\n(N, M) = map(int, input().split())\n\ngraph = [[] for _ in range(M + 1)]\ndist = [float(\"inf\")] * (M + 1)\ndist[1] = 0\nQ = deque([1])\n\nfor _ in range(N):\n    A = int(input())\n    S = list(map(int, input().split()))\n    for s in S:\n        graph[s].extend(S)\n\nwhile Q:\n    v = Q.popleft()\n    for nv in graph[v]:\n        if dist[nv] > dist[v] + 1:\n            dist[nv] = dist[v] + 1\n            Q.append(nv)\n\nif dist[M] == float(\"inf\"):\n    print(-1)\nelse:\n    print(dist[M])",
                "from collections import deque\n\n(N, M) = map(int, input().split())\n\ngraph = [[] for _ in range(M + 1)]\n\nfor _ in range(N):\n    A = int(input())\n    S = list(map(int, input().split()))\n    for s in S:\n        graph[s].append(A)\n\ndist = [float(\"inf\")] * (M + 1)\ndist[1] = 0\nq = deque([1])\n\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        for s in graph[u]:\n            if dist[s] > dist[u] + 1:\n                dist[s] = dist[u] + 1\n                q.append(s)\n\nprint(dist[M] if dist[M] != float(\"inf\") else -1)",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import deque\n\n(N, M) = map(int, input().split())\n\ngraph = [[] for _ in range(M + 1)]\nindeg = [0] * (M + 1)\ndist = [float(\"inf\")] * (M + 1)\ndist[1] = 0\n\nfor _ in range(N):\n    A = int(input())\n    S = list(map(int, input().split()))\n    for s in S:\n        graph[s].extend(S)\n        indeg[s] += len(S) - 1\n\nq = deque([1])\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        indeg[nv] -= 1\n        if indeg[nv] == 0:\n            q.append(nv)\n            dist[nv] = dist[v] + 1\n\nprint(dist[M] if dist[M] != float(\"inf\") else -1)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(m + 1)]\nfor _ in range(n):\n    a = int(input())\n    s = list(map(int, input().split()))\n    for i in range(a - 1):\n        graph[s[i]].append(s[i + 1])\n        graph[s[i + 1]].append(s[i])\ndist = [-1] * (m + 1)\ndist[1] = 0\nq = [1]\nwhile q:\n    v = q.pop(0)\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\nprint(dist[m] if dist[m] != -1 else -1)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\nparents = [i for i in range(m + 1)]\nranks = [0] * (m + 1)\n\n\ndef find(x):\n    if parents[x] == x:\n        return x\n    else:\n        parents[x] = find(parents[x])\n        return parents[x]\n\n\ndef union(x, y):\n    (x, y) = (find(x), find(y))\n    if x == y:\n        return\n    if ranks[x] > ranks[y]:\n        parents[y] = x\n    elif ranks[x] < ranks[y]:\n        parents[x] = y\n    else:\n        parents[x] = y\n        ranks[y] += 1\n\n\ndef solve():\n    for i in range(n):\n        a = int(input())\n        s = list(map(int, input().split()))\n        for j in range(a):\n            union(s[j], s[j] + 1)\n    if find(1) == find(m):\n        return len(parents) - 1\n    else:\n        return -1\n\n\nprint(solve())",
                "from collections import deque\n\n(n, m) = map(int, input().split())\n\ngraph = [[] for _ in range(m + 1)]\ndist = [float(\"inf\")] * (m + 1)\ndist[1] = 0\nq = deque([1])\n\nfor _ in range(n):\n    a = int(input())\n    for s in input().split():\n        s = int(s)\n        graph[s].extend(map(int, input().split()))\n        graph[s].append(s)\n\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] > dist[v] + 1:\n            dist[u] = dist[v] + 1\n            q.append(u)\n\nprint(dist[m] if dist[m] != float(\"inf\") else -1)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\n\ngraph = [[] for _ in range(m + 1)]\ndist = [float(\"inf\")] * (m + 1)\ndist[1] = 0\nq = deque([1])\n\nfor _ in range(n):\n    a = int(input())\n    s = list(map(int, input().split()))\n    for i in range(a - 1):\n        graph[s[i]].append(s[i + 1])\n        graph[s[i + 1]].append(s[i])\n\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] == float(\"inf\"):\n            dist[u] = dist[v] + 1\n            q.append(u)\n\nprint(dist[m] if dist[m] != float(\"inf\") else -1)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\n\ngraph = [[] for _ in range(m + 1)]\ndist = [float(\"inf\")] * (m + 1)\ndist[1] = 0\nq = deque([1])\n\nfor _ in range(n):\n    a = int(input())\n    s = list(map(int, input().split()))\n    for i in range(a - 1):\n        graph[s[i]].append(s[i + 1])\n        graph[s[i + 1]].append(s[i])\n\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] > dist[v] + 1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nprint(dist[m] if dist[m] != float(\"inf\") else -1)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(m + 1)]\nfor _ in range(n):\n    a = int(input())\n    s = list(map(int, input().split()))\n    for i in range(a - 1):\n        graph[s[i]].append(s[i + 1])\n        graph[s[i + 1]].append(s[i])\ndist = [-1] * (m + 1)\ndist[1] = 0\nq = deque([1])\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] == -1:\n            dist[u] = dist[v] + 1\n            q.append(u)\nprint(dist[m] if dist[m] != -1 else -1)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\n\ngraph = [[] for _ in range(m + 1)]\ndist = [float(\"inf\")] * (m + 1)\ndist[1] = 0\nq = deque([1])\n\nfor _ in range(n):\n    a = int(input())\n    s = list(map(int, input().split()))\n    for i in range(a - 1):\n        graph[s[i]].append(s[i + 1])\n        graph[s[i + 1]].append(s[i])\n\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] == float(\"inf\"):\n            dist[u] = dist[v] + 1\n            q.append(u)\n\nprint(dist[m] if dist[m] != float(\"inf\") else -1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\nt = input()\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 1 and s[i] != t[i] - 1 and s[i] != chr(ord(t[i]) - 32) and s[i] != chr(ord(t[i]) + 32):\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 32 and s[i] != t[i] - 32 and s[i] != t[i] + 48 and s[i] != t[i] - 48:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 32 and s[i] != t[i] - 32 and s[i] != t[i] + 48 and s[i] != t[i] - 48:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 1 and s[i] != t[i] - 1 and s[i] != ord(t[i]) - 32 and s[i] != ord(t[i]) + 32:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 1 and s[i] != t[i] - 1 and chr(ord(s[i]) + 1) != t[i] and chr(ord(s[i]) - 1) != t[i]:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nif all(x == y or (x == \"1\" and y == \"l\") or (x == \"l\" and y == \"1\") or (x == \"0\" and y == \"o\") or (x == \"o\" and y == \"0\") for x, y in zip(s, t)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 32 and s[i] != t[i] - 32 and s[i] != t[i] + 48 and s[i] != t[i] - 48:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != \"1\" + t[i] and s[i] != \"l\" + t[i] and s[i] != \"0\" + t[i] and s[i] != \"o\" + t[i]:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != \"1\" + t[i] and s[i] != \"l\" + t[i] and s[i] != \"0\" + t[i] and s[i] != \"o\" + t[i]:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n = int(input())\ns = input()\nt = input()\n\nfor i in range(n):\n    if s[i] != t[i] and s[i] != t[i] + 1 and s[i] != t[i] - 1 and s[i] != chr(ord(t[i]) - 32) and s[i] != chr(ord(t[i]) + 32):\n        print(\"No\")\n        exit()\nprint(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\r\n\r\na = []\r\nfor i in range(m):\r\n    a.append(list(map(int, input().split())))\r\n\r\nans = 0\r\nfor i in range(1, n):\r\n    for j in range(i + 2, n + 1):\r\n        flag = True\r\n        for k in range(m):\r\n            if abs(a[k][i - 1] - a[k][j - 1]) == 1:\r\n                flag = False\r\n        if flag:\r\n            ans += 1\r\n\r\nprint(ans)\r",
                "n, m = map(int, input().split())\na = [list(map(int, input().split())) for _ in range(m)]\n\nmood = 0\nfor i in range(n):\n    for j in range(i + 2, n):\n        if not any(a[k][l] == i + 1 and a[k][l + 1] == j + 1 for k in range(m) for l in range(n - 1)):\n            mood += 1\nprint(mood)",
                "n, m = map(int, input().split())\r\na = [list(map(int, input().split())) for _ in range(m)]\r\n\r\nmood = 0\r\nfor i in range(n):\r\n    for j in range(i + 2, n):\r\n        if not any(a[k][l] == i + 1 and a[k][l + 1] == j + 1 or a[k][l] == j + 1 and a[k][l + 1] == i + 1 for k in range(m) for l in range(n - 1)):\r\n            mood += 1\r\nprint(mood)\r",
                "n, m = map(int, input().split())\na = [list(map(int, input().split())) for i in range(m)]\n\nmood = 0\nfor i in range(n):\n    for j in range(i + 2, n):\n        flag = True\n        for k in range(m):\n            if a[k][i + 1] == j + 1 and a[k][i] == j or a[k][i] == j + 1 and a[k][i + 1] == j:\n                flag = False\n                break\n        if flag:\n            mood += 1\nprint(mood)",
                "n, m = map(int, input().split())\r\na = [list(map(int, input().split())) for _ in range(m)]\r\n\r\nmood = 0\r\nfor i in range(n):\r\n    for j in range(i + 2, n):\r\n        if not any(a[k][l] == i + 1 and a[k][l + 1] == j + 1 for k in range(m) for l in range(n - 1)):\r\n            mood += 1\r\n\r\nprint(mood)\r",
                "n, m = map(int, input().split())\r\n\r\npeople = [[] for _ in range(n)]\r\nfor _ in range(m):\r\n    for i, a in enumerate(map(int, input().split())):\r\n        people[a - 1].append(i)\r\n\r\nans = 0\r\nfor i in range(n):\r\n    for j in range(i + 2, n):\r\n        if not (people[i] and people[j] and (people[i][-1] + 1 == people[j][0] or people[j][-1] + 1 == people[i][0])):\r\n            ans += 1\r\nprint(ans)\r",
                "n, m = map(int, input().split())\r\na = [list(map(int, input().split())) for _ in range(m)]\r\n\r\nbad_mood = 0\r\nfor i in range(n):\r\n    for j in range(i + 2, n):\r\n        if not any(a[k][l] == i + 1 and a[k][l + 1] == j + 1 for k in range(m) for l in range(n - 1)):\r\n            bad_mood += 1\r\n        if not any(a[k][l] == j + 1 and a[k][l + 1] == i + 1 for k in range(m) for l in range(n - 1)):\r\n            bad_mood += 1\r\n\r\nprint(bad_mood // 2)\r",
                "n, m = map(int, input().split())\na = [list(map(int, input().split())) for i in range(m)]\n\nb = [[] for i in range(n + 1)]\nfor i in range(m):\n    for j in range(n):\n        b[a[i][j]].append(a[i][j + 1])\n        b[a[i][j + 1]].append(a[i][j])\n\nans = 0\nfor i in range(1, n + 1):\n    for j in range(i + 1, n + 1):\n        if j not in b[i]:\n            ans += 1\nprint(ans)",
                "n, m = map(int, input().split())\r\n\r\na = []\r\nfor i in range(m):\r\n    a.append(list(map(int, input().split())))\r\n\r\ncount = 0\r\nfor i in range(n):\r\n    for j in range(i + 2, n):\r\n        flag = True\r\n        for k in range(m):\r\n            if abs(a[k][i] - a[k][j]) == 1:\r\n                flag = False\r\n        if flag:\r\n            count += 1\r\n\r\nprint(count)\r",
                "n, m = map(int, input().split())\r\n\r\na = []\r\nfor i in range(m):\r\n    a.append(list(map(int, input().split())))\r\n\r\nans = 0\r\nfor i in range(1, n):\r\n    for j in range(i + 2, n + 1):\r\n        flag = 0\r\n        for k in range(m):\r\n            if a[k][i - 1] == j and a[k][i] == j - 1:\r\n                flag = 1\r\n                break\r\n            if a[k][j - 1] == i and a[k][j] == i + 1:\r\n                flag = 1\r\n                break\r\n        if flag == 0:\r\n            ans += 1\r\nprint(ans)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m, h, k = map(int, input().split())\ns = input()\nrecovery = []\nfor i in range(m):\n    recovery.append(tuple(map(int, input().split())))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    health -= 1\n    if health < 0:\n        print(\"No\")\n        break\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    if (x, y) in recovery and health < k:\n        health = k\n    if health == 0:\n        print(\"Yes\")\n        break\nelse:\n    print(\"Yes\" if health >= 0 else \"No\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = []\nfor i in range(m):\n    x, y = map(int, input().split())\n    items.append((x, y))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    health -= 1\n    if health < 0:\n        break\n    for item in items:\n        if x == item[0] and y == item[1]:\n            if health < k:\n                health = k\n                break\n\nif health >= 0:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = set()\nfor i in range(m):\n    x, y = map(int, input().split())\n    items.add((x, y))\n\nx, y, health = 0, 0, h\nfor move in s:\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    health -= 1\n    if health < 0:\n        break\n    if (x, y) in items and health < k:\n        health = k\n\nif health >= 0:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = set()\nfor i in range(m):\n    x, y = map(int, input().split())\n    items.add((x, y))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    health -= 1\n    if health < 0:\n        break\n    if (x, y) in items and health < k:\n        health = k\nprint(\"Yes\" if health >= 0 else \"No\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = []\nfor i in range(m):\n    x, y = map(int, input().split())\n    items.append((x, y))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    health -= 1\n    if health < 0:\n        break\n    for item in items:\n        if x == item[0] and y == item[1]:\n            if health < k:\n                health = k\n                break\n\nif health >= 0:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = [list(map(int, input().split())) for i in range(m)]\nx, y = 0, 0\nhealth = h\nfor i in range(n):\n    if health < 0:\n        print(\"No\")\n        break\n    health -= 1\n    if s[i] == \"R\":\n        x += 1\n    elif s[i] == \"L\":\n        x -= 1\n    elif s[i] == \"U\":\n        y += 1\n    else:\n        y -= 1\n    for item in items:\n        if x == item[0] and y == item[1]:\n            if health < k:\n                health = k\n            items.remove(item)\n            break\n    if health < 0:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M, H, K = map(int, input().split())\nS = input().strip()\nitems = []\nfor i in range(M):\n    x, y = map(int, input().split())\n    items.append((x, y))\n\nx, y = 0, 0\nhealth = H\nfor s in S:\n    if health < 0:\n        print(\"No\")\n        break\n    health -= 1\n    if s == \"R\":\n        x += 1\n    elif s == \"L\":\n        x -= 1\n    elif s == \"U\":\n        y += 1\n    else:\n        y -= 1\n    for item in items:\n        if x == item[0] and y == item[1]:\n            if health < K:\n                health = K\n                break\nelse:\n    print(\"Yes\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = set()\nfor i in range(m):\n    x, y = map(int, input().split())\n    items.add((x, y))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    if health < 0:\n        print(\"No\")\n        break\n    health -= 1\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    if (x, y) in items and health < k:\n        health = k\nelse:\n    print(\"Yes\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = []\nfor i in range(m):\n    items.append(tuple(map(int, input().split())))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    health -= 1\n    if health < 0:\n        print(\"No\")\n        break\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    if (x, y) in items and health < k:\n        health = k\n    if health == 0:\n        print(\"Yes\")\n        break\nelse:\n    print(\"Yes\" if health >= 0 else \"No\")",
                "n, m, h, k = map(int, input().split())\ns = input()\nitems = []\nfor i in range(m):\n    x, y = map(int, input().split())\n    items.append((x, y))\n\nx, y = 0, 0\nhealth = h\nfor move in s:\n    if move == \"R\":\n        x += 1\n    elif move == \"L\":\n        x -= 1\n    elif move == \"U\":\n        y += 1\n    else:\n        y -= 1\n    health -= 1\n    if health < 0:\n        break\n    for item in items:\n        if item[0] == x and item[1] == y:\n            if health < k:\n                health = k\n            break\n\nif health >= 0:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[10**18] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[10**18] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"A\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\n    dp[i + 1][0] = min(dp[i + 1][0], dp[i][2] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[float(\"inf\")] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[float(\"inf\")] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][0] + z + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + z + y)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[float(\"inf\")] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[10**18] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[float(\"inf\")] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[float(\"inf\")] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[10**18] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))",
                "(x, y, z) = map(int, input().split())\ns = input()\nn = len(s)\ndp = [[float(\"inf\")] * 3 for _ in range(n + 1)]\ndp[0][0] = 0\nfor i in range(n):\n    if s[i] == \"a\":\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + x)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + y)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + x)\n    else:\n        dp[i + 1][0] = min(dp[i + 1][0], dp[i][0] + y)\n        dp[i + 1][1] = min(dp[i + 1][1], dp[i][1] + x)\n        dp[i + 1][2] = min(dp[i + 1][2], dp[i][2] + y)\n    dp[i + 1][1] = min(dp[i + 1][1], dp[i][0] + z)\n    dp[i + 1][2] = min(dp[i + 1][2], dp[i][1] + z)\nprint(min(dp[n]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nleaves = [v for v in range(1, n + 1) if len(graph[v]) == 1]\nstars = []\nwhile leaves:\n    leaf = leaves.pop()\n    center = graph[leaf][0]\n    stack = deque([center])\n    level = 0\n    while stack:\n        level += 1\n        for _ in range(len(stack)):\n            node = stack.popleft()\n            for adj in graph[node]:\n                if adj == leaf:\n                    continue\n                if len(graph[adj]) == 1:\n                    leaves.append(adj)\n                stack.append(adj)\n                graph[node].remove(adj)\n                graph[adj].remove(node)\n    stars.append(level)\n\nprint(*sorted(stars))",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nE = [[] for i in range(N)]\n\nfor i in range(N - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    E[u].append(v)\n    E[v].append(u)\n\nS = []\n\nfor i in range(N):\n    if len(E[i]) == 1:\n        S.append(i)\n\nwhile S:\n    u = S.pop()\n    v = E[u][0]\n    E[v].remove(u)\n    if len(E[v]) == 1:\n        S.append(v)\n\nL = []\n\nfor i in range(N):\n    if len(E[i]) > 1:\n        L.append(len(E[i]))\n\nL.sort()\n\nprint(*L)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nUV = [list(map(int, input().split())) for i in range(N - 1)]\n\nfrom collections import deque\n\nG = [[] for i in range(N + 1)]\nfor u, v in UV:\n    G[u].append(v)\n    G[v].append(u)\n\nQ = deque([1])\ndist = [-1] * (N + 1)\ndist[1] = 0\nwhile Q:\n    v = Q.popleft()\n    for nv in G[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            Q.append(nv)\n\nL = []\nfor v in range(1, N + 1):\n    if dist[v] == 1:\n        L.append(len(G[v]) - 1)\n\nL.sort()\nprint(*L)",
                "from collections import deque\n\nN = int(input())\n\ngraph = [[] for _ in range(N + 1)]\n\nfor _ in range(N - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\ncenters = []\n\nvisited = [0] * (N + 1)\n\nfor i in range(1, N + 1):\n    if visited[i]:\n        continue\n    q = deque([i])\n    visited[i] = 1\n    while q:\n        node = q.popleft()\n        for next_node in graph[node]:\n            if visited[next_node]:\n                continue\n            visited[next_node] = 1\n            q.append(next_node)\n    centers.append(len(q) - 1)\n\ncenters.sort()\n\nprint(*centers)",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\ncenters = []\n\nvisited = [False] * (n + 1)\n\nfor i in range(1, n + 1):\n    if not visited[i]:\n        q = deque([i])\n        visited[i] = True\n        size = 0\n\n        while q:\n            node = q.popleft()\n            size += 1\n\n            for adj in graph[node]:\n                if not visited[adj]:\n                    visited[adj] = True\n                    q.append(adj)\n\n        if size > 2:\n            centers.append(size - 1)\n\ncenters.sort()\n\nprint(*centers)",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n)]\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\ncenters = []\n\nvisited = [False] * n\n\nfor i in range(n):\n    if visited[i]:\n        continue\n    q = deque([i])\n    visited[i] = True\n    size = 0\n    while q:\n        v = q.popleft()\n        size += 1\n        for nv in graph[v]:\n            if not visited[nv]:\n                q.append(nv)\n                visited[nv] = True\n    centers.append(size)\n\ncenters.sort()\n\nprint(*centers[1:])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nUV = [list(map(int, input().split())) for i in range(N - 1)]\n\nfrom collections import deque\n\nG = [[] for i in range(N + 1)]\nfor u, v in UV:\n    G[u].append(v)\n    G[v].append(u)\n\nQ = deque([1])\nused = [0] * (N + 1)\nused[1] = 1\nwhile Q:\n    v = Q.popleft()\n    for nv in G[v]:\n        if used[nv] == 0:\n            used[nv] = 1\n            Q.append(nv)\n\ncnt = 0\nfor i in range(1, N + 1):\n    if used[i]:\n        cnt += 1\n\nfrom collections import Counter\n\ncnts = Counter(used)\n\nans = []\nfor k, v in cnts.items():\n    if k == 1:\n        ans.append(v)\n\nans.sort()\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nE = [[] for i in range(N)]\n\nfor i in range(N - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    E[u].append(v)\n    E[v].append(u)\n\nL = []\n\nfor i in range(N):\n    if len(E[i]) == 1:\n        S = set()\n        S.add(i)\n        v = E[i][0]\n        while len(E[v]) == 1:\n            S.add(v)\n            v = E[v][0]\n        S.add(v)\n        L.append(len(S))\n\nL.sort()\n\nprint(*L)",
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nleaves = [i for i in range(n) if len(graph[i]) == 1]\nstars = []\nwhile leaves:\n    leaf = leaves.pop()\n    q = deque([leaf])\n    level = 0\n    while q:\n        level += 1\n        for _ in range(len(q)):\n            node = q.popleft()\n            for next_node in graph[node]:\n                if next_node == leaf:\n                    continue\n                q.append(next_node)\n                graph[next_node].remove(node)\n                if len(graph[next_node]) == 1:\n                    leaves.append(next_node)\n        if level > 2:\n            stars.append(level - 1)\n\nstars.sort()\nprint(*stars)",
                "from collections import deque\n\nN = int(input())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(N - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nleaves = [i for i in range(N) if len(graph[i]) == 1]\n\nstars = []\n\nwhile leaves:\n    leaf = leaves.pop()\n    center = graph[leaf][0]\n    q = deque([center])\n    level = 1\n\n    while q:\n        size = len(q)\n        for _ in range(size):\n            node = q.popleft()\n            for adj in graph[node]:\n                if adj == center:\n                    continue\n                q.append(adj)\n                graph[adj].remove(node)\n                if len(graph[adj]) == 1:\n                    leaves.append(adj)\n        level += 1\n\n    stars.append(level - 1)\n\nstars.sort()\nprint(*stars)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\n\npeople = []\nfor i in range(n):\n    s, a = input().split()\n    a = int(a)\n    people.append((s, a))\n\npeople.sort(key=lambda x: x[1])\n\nfor i in range(n):\n    people[i + 1 : n + 1] = people[1 : i + 1]\n    print(people[1][0])",
                "n = int(input())\npeople = []\nfor i in range(n):\n    s, a = map(str, input().split())\n    a = int(a)\n    people.append((s, a))\n\npeople.sort(key=lambda x: x[1])\n\nfor i in range(n):\n    people[i + 1 : n + 1] + people[1 : i + 1]\n\nfor s, a in people:\n    print(s)",
                "n = int(input())\n\npeople = []\nfor i in range(n):\n    s, a = input().split()\n    a = int(a)\n    people.append((s, a))\n\npeople.sort(key=lambda x: x[1])\n\nfor s, a in people:\n    print(s)",
                "n = int(input())\n\npeople = []\nfor i in range(n):\n    s, a = input().split()\n    a = int(a)\n    people.append((s, a))\n\npeople.sort(key=lambda x: x[1])\n\nfor name, _ in people:\n    print(name)",
                "n = int(input())\npeople = []\nfor i in range(n):\n    s, a = map(str, input().split())\n    a = int(a)\n    people.append((s, a))\n\npeople.sort(key=lambda x: x[1])\n\nfor i in range(n):\n    people[i - 1 + n] = people[i]\n\nfor s, _ in people:\n    print(s)",
                "n = int(input())\npeople = []\nfor _ in range(n):\n    s, a = input().split()\n    a = int(a)\n    people.append((s, a))\npeople.sort(key=lambda x: x[1])\nfor i in range(n):\n    people.append(people.pop(0))\nfor s, _ in people:\n    print(s)",
                "n = int(input())\npeople = []\nfor i in range(n):\n    s, a = map(str, input().split())\n    a = int(a)\n    people.append((s, a))\npeople.sort(key=lambda x: x[1])\nfor i in range(n):\n    people[i + 1:] = people[1:] + people[:1]\n    print(people[i][0])",
                "n = int(input())\npeople = []\nfor i in range(n):\n    s, a = map(str, input().split())\n    a = int(a)\n    people.append((s, a))\npeople.sort(key=lambda x: x[1])\nfor i in range(n):\n    people[i + 1 :] = people[1:] + people[1:i + 1]\nfor s, _ in people:\n    print(s)",
                "n = int(input())\n\npeople = []\nfor i in range(n):\n    s, a = map(str, input().split())\n    a = int(a)\n    people.append((s, a))\n\npeople.sort(key=lambda x: x[1])\n\nfor i in range(n):\n    people[i - 1 + n] = people[i]\n\nfor s, _ in people:\n    print(s)",
                "n = int(input())\npeople = []\nfor _ in range(n):\n    s, a = map(str, input().split())\n    people.append((s, int(a)))\npeople.sort(key=lambda x: x[1])\nfor i in range(n):\n    people[i:] = people[n-1:i:-1] + people[i:]\nfor s, _ in people:\n    print(s)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\nif n < 1000:\n    print(n)\nelif n < 10000:\n    print(n - n % 100 * 10 + n % 1000 * 10)\nelif n < 100000:\n    print(n - n % 10 * 100 + n % 10000 * 10)\nelif n < 1000000:\n    print(n - n % 1000 * 10 + n % 100000 * 10)\nelif n < 10000000:\n    print(n - n % 10000 * 10 + n % 1000000 * 10)\nelif n < 100000000:\n    print(n - n % 100000 * 10 + n % 10000000 * 10)\nelif n < 1000000000:\n    print(n - n % 1000000 * 10 + n % 100000000 * 10)",
                "n = int(input())\r\n\r\nif n <= 999:\r\n    print(n)\r\nelif n <= 9999:\r\n    print(n - n % 1000 + 1000)\r\nelif n <= 99999:\r\n    print(n - n % 10000 + 10000)\r\nelif n <= 999999:\r\n    print(n - n % 100000 + 100000)\r\nelif n <= 9999999:\r\n    print(n - n % 1000000 + 1000000)\r\nelif n <= 99999999:\r\n    print(n - n % 10000000 + 10000000)\r\nelse:\r\n    print(n - n % 100000000 + 100000000)\r",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)",
                "n = int(input())\n\nif n <= 999:\n    print(n)\nelif n <= 9999:\n    print(n - n % 1000)\nelif n <= 99999:\n    print(n - n % 10000)\nelif n <= 999999:\n    print(n - n % 100000)\nelif n <= 9999999:\n    print(n - n % 1000000)\nelif n <= 99999999:\n    print(n - n % 10000000)\nelse:\n    print(n - n % 100000000)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, d = map(int, input().split())\nxy = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    xy[i].append(i)\n\nxy.sort(key=lambda x: x[0])\n\nans = [False] * n\nans[0] = True\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (xy[i][0] - xy[j][0]) ** 2 + (xy[i][1] - xy[j][1]) ** 2 <= d ** 2:\n            ans[xy[j][2]] = True\n\nfor i in ans:\n    print(\"Yes\" if i else \"No\")",
                "n, d = map(int, input().split())\nxy = [list(map(int, input().split())) for _ in range(n)]\n\nfrom math import sqrt\n\nfor i in range(n):\n    for j in range(n):\n        if sqrt((xy[i][0] - xy[j][0]) ** 2 + (xy[i][1] - xy[j][1]) ** 2) <= d:\n            xy[i][2] = 1\n            break\n\nfor i in range(n):\n    if xy[i][2]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n, d = map(int, input().split())\nxy = [list(map(int, input().split())) for _ in range(n)]\n\ninfected = [False] * n\ninfected[0] = True\n\nfor i in range(n):\n    for j in range(n):\n        if i != j and (xy[i][0] - xy[j][0]) ** 2 + (xy[i][1] - xy[j][1]) ** 2 <= d ** 2:\n            infected[j] = True\n\nfor i in infected:\n    print(\"Yes\" if i else \"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nN, D = map(int, input().split())\nXY = [list(map(int, input().split())) for i in range(N)]\n\nans = [False] * N\nans[0] = True\n\nfor i in range(N):\n    for j in range(N):\n        if i == j:\n            continue\n        if (XY[i][0] - XY[j][0]) ** 2 + (XY[i][1] - XY[j][1]) ** 2 <= D ** 2:\n            ans[j] = True\n\nfor i in ans:\n    print(\"Yes\" if i else \"No\")",
                "n, d = map(int, input().split())\nxy = [list(map(int, input().split())) for _ in range(n)]\n\ninfected = [False] * n\ninfected[0] = True\n\nfor i in range(n):\n    for j in range(n):\n        if i != j and (xy[i][0] - xy[j][0]) ** 2 + (xy[i][1] - xy[j][1]) ** 2 <= d ** 2:\n            infected[j] = True\n\nfor i in infected:\n    print(\"Yes\" if i else \"No\")",
                "import sys\nfrom math import sqrt\n\ninput = sys.stdin.readline\n\nN, D = map(int, input().split())\n\nX = []\nY = []\n\nfor i in range(N):\n    x, y = map(int, input().split())\n    X.append(x)\n    Y.append(y)\n\ninfected = [False] * N\ninfected[0] = True\n\nfor i in range(N):\n    for j in range(N):\n        if sqrt((X[i] - X[j]) ** 2 + (Y[i] - Y[j]) ** 2) <= D:\n            infected[j] = True\n\nfor i in infected:\n    if i:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "import sys\nfrom math import sqrt\n\ninput = sys.stdin.readline\n\nN, D = map(int, input().split())\n\nX = []\nY = []\nfor i in range(N):\n    x, y = map(int, input().split())\n    X.append(x)\n    Y.append(y)\n\ninfected = [False] * N\ninfected[0] = True\n\nfor i in range(N):\n    for j in range(N):\n        if sqrt((X[i] - X[j]) ** 2 + (Y[i] - Y[j]) ** 2) <= D and (not infected[j]):\n            infected[j] = True\n\nfor i in infected:\n    if i:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nN, D = map(int, input().split())\n\nX = []\nY = []\nfor i in range(N):\n    x, y = map(int, input().split())\n    X.append(x)\n    Y.append(y)\n\nINF = 10**9\ndist = [[INF] * N for i in range(N)]\nfor i in range(N):\n    for j in range(i + 1, N):\n        dx = X[i] - X[j]\n        dy = Y[i] - Y[j]\n        dist[i][j] = dist[j][i] = int((dx * dx + dy * dy) ** 0.5)\n\nfor i in range(N):\n    dist[i][i] = 0\n\nfor i in range(N):\n    for j in range(N):\n        for k in range(N):\n            dist[j][k] = min(dist[j][k], dist[j][i] + dist[i][k])\n\nfor i in range(1, N):\n    if dist[0][i] <= D:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n, d = map(int, input().split())\nxy = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    for j in range(n):\n        if i != j and (xy[i][0] - xy[j][0]) ** 2 + (xy[i][1] - xy[j][1]) ** 2 <= d ** 2:\n            xy[j][0] = -1\n\nfor i in range(n):\n    if xy[i][0] == -1:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n, d = map(int, input().split())\r\nxy = [list(map(int, input().split())) for _ in range(n)]\r\n\r\n\r\ndef dist(x1, y1, x2, y2):\r\n    return ((x1 - x2) ** 2 + (y1 - y2) ** 2) ** 0.5\r\n\r\n\r\ndef bfs(s):\r\n    q = [(s, 0)]\r\n    visited = [False] * n\r\n    visited[s] = True\r\n    while q:\r\n        v, c = q.pop(0)\r\n        for i in range(n):\r\n            if not visited[i] and dist(xy[v][0], xy[v][1], xy[i][0], xy[i][1]) <= d:\r\n                visited[i] = True\r\n                q.append((i, c + 1))\r\n    return visited\r\n\r\n\r\nans = bfs(0)\r\nfor i in ans:\r\n    print(\"Yes\" if i else \"No\")\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from sys import stdin\n\ninput = stdin.readline\n\n\ndef main():\n    (w, h) = map(int, input().split())\n    n = int(input())\n    p = [tuple(map(int, input().split())) for _ in range(n)]\n    a = int(input())\n    x = list(map(int, input().split()))\n    b = int(input())\n    y = list(map(int, input().split()))\n    x.sort()\n    y.sort()\n    x = [0] + x + [w]\n    y = [0] + y + [h]\n    cnt = [0] * (a + 2)\n    for i in range(n):\n        j = bisect_left(x, p[i][0])\n        cnt[j] += 1\n    ans = [0, 1]\n    for i in range(1, a + 1):\n        ans[0] += min(cnt[i], cnt[i - 1])\n        ans[1] += max(cnt[i], cnt[i - 1])\n    print(*ans)\n\n\ndef bisect_left(a, x):\n    \"Find the first index i where a[i] >= x.\"\n    lo = 0\n    hi = len(a)\n    while lo < hi:\n        mid = (lo + hi) // 2\n        if a[mid] < x:\n            lo = mid + 1\n        else:\n            hi = mid\n    return lo\n\n\nmain()",
                "from sys import stdin\n\ninput = stdin.readline\n\n\ndef main():\n    w, h = map(int, input().split())\n    n = int(input())\n    p = []\n    q = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        p.append(x)\n        q.append(y)\n    p.sort()\n    q.sort()\n    a = int(input())\n    a_list = list(map(int, input().split()))\n    b = int(input())\n    b_list = list(map(int, input().split()))\n    a_list.sort()\n    b_list.sort()\n    a_dict = {}\n    b_dict = {}\n    for i in range(a):\n        a_dict[a_list[i]] = i\n    for i in range(b):\n        b_dict[b_list[i]] = i\n    p_dict = {}\n    q_dict = {}\n    for i in range(n):\n        if p[i] not in p_dict:\n            p_dict[p[i]] = [i, i]\n        else:\n            p_dict[p[i]][0] = i\n        if q[i] not in q_dict:\n            q_dict[q[i]] = [i, i]\n        else:\n            q_dict[q[i]][1] = i\n    ans = [0, 1]\n    for i in range(n):\n        x = p_dict[p[i]][0]\n        y = q_dict[q[i]][1]\n        if x <= y:\n            ans[1] = max(ans[1], y - x + 1)\n        else:\n            ans[0] = max(ans[0], x - y)\n    print(ans[0], ans[1])\n\n\nmain()",
                "from sys import stdin\n\ninput = stdin.readline\n(w, h) = map(int, input().split())\nn = int(input())\nstrawberries = [tuple(map(int, input().split())) for _ in range(n)]\na = int(input())\na_cuts = list(map(int, input().split()))\nb = int(input())\nb_cuts = list(map(int, input().split()))\na_cuts.append(w)\nb_cuts.append(h)\na_cuts.sort()\nb_cuts.sort()\nstrawberries.sort(key=lambda x: (x[0], x[1]))\na_cuts_idx = [0] * (a + 1)\nb_cuts_idx = [0] * (b + 1)\nfor i, (x, y) in enumerate(strawberries):\n    a_cuts_idx[bisect_left(a_cuts, x)] += 1\n    b_cuts_idx[bisect_left(b_cuts, y)] += 1\nm = max(a_cuts_idx[1:-1]) * max(b_cuts_idx[1:-1])\nM = sum(a_cuts_idx[1:-1]) * sum(b_cuts_idx[1:-1])\nfor i in range(1, a):\n    for j in range(1, b):\n        m = min(m, a_cuts_idx[i] * b_cuts_idx[j])\n        M = max(M, a_cuts_idx[i] * b_cuts_idx[j])\nprint(m, M)",
                "from sys import stdin\n\ninput = stdin.readline\n(w, h) = map(int, input().split())\nn = int(input())\nstrawberries = [list(map(int, input().split())) for _ in range(n)]\na = int(input())\na_list = list(map(int, input().split()))\nb = int(input())\nb_list = list(map(int, input().split()))\na_list.append(w)\nb_list.append(h)\na_list.sort()\nb_list.sort()\nstrawberries.sort(key=lambda x: (x[0], x[1]))\n(left, right) = (0, 0)\n(min_strawberries, max_strawberries) = (n, 0)\nfor i in range(n):\n    if strawberries[i][0] > left:\n        min_strawberries -= right\n        right = 0\n    left = strawberries[i][0]\n    right += 1\nfor i in range(n):\n    if strawberries[i][1] > left:\n        max_strawberries = max(max_strawberries, right)\n        right = 0\n    left = strawberries[i][1]\n    right += 1\nprint(max(0, min_strawberries - 1), max_strawberries)",
                "from sys import stdin\n\ninput = stdin.readline\n\n\ndef main():\n    w, h = map(int, input().split())\n    n = int(input())\n    p = [tuple(map(int, input().split())) for _ in range(n)]\n    a = int(input())\n    x = list(map(int, input().split()))\n    b = int(input())\n    y = list(map(int, input().split()))\n    x.sort()\n    y.sort()\n    x.insert(0, 0)\n    x.append(w)\n    y.insert(0, 0)\n    y.append(h)\n    cnt = [0] * (a + 1)\n    for i in range(n):\n        j = bisect_left(x, p[i][0])\n        k = bisect_right(x, p[i][0])\n        cnt[j] += 1\n        cnt[k] -= 1\n    for i in range(1, a + 1):\n        cnt[i] += cnt[i - 1]\n    c = [0] * (b + 1)\n    for i in range(n):\n        j = bisect_left(y, p[i][1])\n        k = bisect_right(y, p[i][1])\n        c[j] += cnt[bisect_left(x, p[i][0])]\n        c[k] -= cnt[bisect_left(x, p[i][0])]\n    for i in range(1, b + 1):\n        c[i] += c[i - 1]\n    print(min(c), max(c))\n\n\ndef bisect_left(a, x):\n    \"Find the first index i of the leftmost item in a such that a[i] >= x.\"\n    lo = 0\n    hi = len(a)\n    while lo < hi:\n        mid = (lo + hi) // 2\n        if x <= a[mid]:\n            hi = mid\n        else:\n            lo = mid + 1\n    return lo\n\n\ndef bisect_right(a, x):\n    \"Find the first index i of the rightmost item in a such that a[i] <= x.\"\n    lo = 0\n    hi = len(a)\n    while lo < hi:\n        mid = (lo + hi) // 2\n        if a[mid] <= x:\n            lo = mid + 1\n        else:\n            hi = mid\n    return lo\n\n\nmain()",
                "from sys import stdin\n\ninput = stdin.readline\n(w, h) = map(int, input().split())\nn = int(input())\nstrawberries = [tuple(map(int, input().split())) for _ in range(n)]\na = int(input())\na_line = sorted(map(int, input().split()))\nb = int(input())\nb_line = sorted(map(int, input().split()))\na_line.append(w)\nb_line.append(h)\na_line = [0] + a_line\nb_line = [0] + b_line\nstrawberries.sort(key=lambda x: (x[0], x[1]))\na_line_idx = 0\nb_line_idx = 0\nmin_strawberries = 0\nmax_strawberries = 0\nwhile a_line_idx < len(a_line) and b_line_idx < len(b_line):\n    if strawberries[min_strawberries][0] >= a_line[a_line_idx]:\n        a_line_idx += 1\n    elif strawberries[min_strawberries][1] >= b_line[b_line_idx]:\n        b_line_idx += 1\n    else:\n        min_strawberries += 1\n        max_strawberries += 1\nprint(min_strawberries, max_strawberries)",
                "import sys\n\ninput = sys.stdin.readline\n(W, H) = map(int, input().split())\nN = int(input())\nP = [tuple(map(int, input().split())) for _ in range(N)]\nA = int(input())\na = list(map(int, input().split()))\nB = int(input())\nb = list(map(int, input().split()))\na.append(W)\nb.append(H)\na.sort()\nb.sort()\nP.sort(key=lambda p: (p[0], -p[1]))\nQ = []\nfor p, q in P:\n    while Q and Q[-1][1] > q:\n        Q.pop()\n    Q.append((p, q))\nP = []\nfor p, q in Q:\n    P.append(p)\nQ = []\nfor p, q in P[::-1]:\n    while Q and Q[-1][1] > q:\n        Q.pop()\n    Q.append((p, q))\nP = Q[::-1]\nQ = []\nfor p, q in P:\n    while Q and Q[-1][0] > p:\n        x = Q.pop()\n        if x[1] > q:\n            Q.append(x)\n            break\n    Q.append((p, q))\nP = []\nfor p, q in Q:\n    P.append(q)\nQ = []\nfor p, q in P[::-1]:\n    while Q and Q[-1][0] > p:\n        x = Q.pop()\n        if x[1] > q:\n            Q.append(x)\n            break\n    Q.append((p, q))\nP = Q[::-1]\nans = [0, 1]\nfor p, q in zip(a, a[1:]):\n    i = bisect_left(P, q)\n    ans[0] = max(ans[0], i)\n    ans[1] = max(ans[1], len(P) - i)\nfor p, q in zip(b, b[1:]):\n    i = bisect_left(P, p)\n    ans[0] = max(ans[0], i)\n    ans[1] = max(ans[1], len(P) - i)\nprint(*ans)",
                "from sys import stdin\n\ninput = stdin.readline\n(w, h) = map(int, input().split())\nn = int(input())\nstrawberries = [tuple(map(int, input().split())) for _ in range(n)]\na = int(input())\nx = list(map(int, input().split()))\nb = int(input())\ny = list(map(int, input().split()))\nx.sort()\ny.sort()\nx = [0] + x + [w]\ny = [0] + y + [h]\ngrid = [[0] * (a + 2) for _ in range(b + 2)]\nfor p, q in strawberries:\n    grid[bisect_left(y, q)][bisect_left(x, p)] += 1\nans = [0, 0]\nfor i in range(1, b + 1):\n    row = [0] * (a + 2)\n    for j in range(1, a + 1):\n        row[j] = row[j - 1] + grid[i][j]\n    ans[0] = max(ans[0], max(row))\n    ans[1] = max(ans[1], max(row) - min(row))\nprint(ans[0], ans[1])",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\n\ndef main():\n    w, h = map(int, input().split())\n    n = int(input())\n    p, q = [0] * n, [0] * n\n    for i in range(n):\n        x, y = map(int, input().split())\n        p[i], q[i] = x, y\n    a = list(map(int, input().split()))\n    b = list(map(int, input().split()))\n    a.sort()\n    b.sort()\n    m, M = 0, 0\n    for i in range(n):\n        x, y = p[i], q[i]\n        cnt = 0\n        for j in range(len(a)):\n            if a[j] < x:\n                cnt += 1\n        for j in range(len(b)):\n            if b[j] < y:\n                cnt += 1\n        m, M = max(m, cnt), min(M, cnt)\n    print(m, M)\n\n\nmain()",
                "from sys import stdin\n\ninput = stdin.readline\n(w, h) = map(int, input().split())\nn = int(input())\nstrawberries = [tuple(map(int, input().split())) for _ in range(n)]\na = int(input())\na_list = list(map(int, input().split()))\nb = int(input())\nb_list = list(map(int, input().split()))\na_list.append(w)\nb_list.append(h)\na_list.sort()\nb_list.sort()\nx_count = [0] * (a + 1)\ny_count = [0] * (b + 1)\nfor x, y in strawberries:\n    idx_x = 0\n    idx_y = 0\n    for i in range(a):\n        if a_list[i] > x:\n            break\n        idx_x += 1\n    for i in range(b):\n        if b_list[i] > y:\n            break\n        idx_y += 1\n    x_count[idx_x] += 1\n    y_count[idx_y] += 1\nmin_strawberries = min(x_count)\nmax_strawberries = max(x_count)\nfor i in range(1, b):\n    min_strawberries += min(y_count[i - 1], y_count[i])\n    max_strawberries += max(y_count[i - 1], y_count[i])\nprint(min_strawberries, max_strawberries)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\n\nn, m = map(int, input().split())\ngraph = defaultdict(set)\nfor _ in range(m):\n    u, v = map(int, input().split())\n    graph[u].add(v)\n    graph[v].add(u)\n\nk = int(input())\nbad_pairs = set()\nfor _ in range(k):\n    x, y = map(int, input().split())\n    bad_pairs.add(frozenset([x, y]))\n\nq = int(input())\nfor _ in range(q):\n    p, q = map(int, input().split())\n    if frozenset([p, q]) in bad_pairs:\n        print(\"No\")\n    elif p in graph[q] or q in graph[p]:\n        print(\"Yes\")\n    else:\n        for node in graph[p]:\n            if q in graph[node]:\n                print(\"No\")\n                break\n        else:\n            print(\"Yes\")",
                "from collections import deque\n\nn, m = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(m):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nk = int(input())\nbad_pairs = [tuple(map(int, input().split())) for _ in range(k)]\n\nq = int(input())\nqueries = [tuple(map(int, input().split())) for _ in range(q)]\n\n\ndef bfs(start, end):\n    queue = deque([start])\n    visited = {start}\n    while queue:\n        node = queue.popleft()\n        for neighbor in graph[node]:\n            if neighbor == end:\n                return True\n            if neighbor not in visited:\n                visited.add(neighbor)\n                queue.append(neighbor)\n    return False\n\n\nfor p, q in queries:\n    for x, y in bad_pairs:\n        if bfs(x, p) and bfs(q, y):\n            print(\"No\")\n            break\n    else:\n        print(\"Yes\")",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import deque\n\nN, M = list(map(int, input().split()))\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    u, v = list(map(int, input().split()))\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nK = int(input())\nbad_pairs = [list(map(int, input().split())) for _ in range(K)]\n\nQ = int(input())\nqueries = [list(map(int, input().split())) for _ in range(Q)]\n\n\ndef bfs(start):\n    visited = [False] * N\n    queue = deque([start])\n    visited[start] = True\n    while queue:\n        node = queue.popleft()\n        for next_node in graph[node]:\n            if not visited[next_node]:\n                visited[next_node] = True\n                queue.append(next_node)\n    return visited\n\n\nvisited_lists = []\nfor x, y in bad_pairs:\n    x -= 1\n    y -= 1\n    visited_lists.append(bfs(x) + bfs(y))\n\nfor p, q in queries:\n    p -= 1\n    q -= 1\n    for visited_list in visited_lists:\n        if visited_list[p] and visited_list[q]:\n            print(\"No\")\n            break\n    else:\n        print(\"Yes\")",
                "from collections import deque\n\nn, m = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(m):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nk = int(input())\nbad_pairs = [list(map(int, input().split())) for _ in range(k)]\n\nq = int(input())\nqueries = [list(map(int, input().split())) for _ in range(q)]\n\n\ndef bfs(start, end):\n    visited = [False] * (n + 1)\n    queue = deque([start])\n    visited[start] = True\n    while queue:\n        node = queue.popleft()\n        for neighbor in graph[node]:\n            if neighbor == end:\n                return True\n            if not visited[neighbor]:\n                visited[neighbor] = True\n                queue.append(neighbor)\n    return False\n\n\nfor p, q in queries:\n    for x, y in bad_pairs:\n        if bfs(x, p) and bfs(y, q):\n            print(\"No\")\n            break\n    else:\n        print(\"Yes\")",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\ngraph = defaultdict(set)\nfor _ in range(m):\n    u, v = map(int, input().split())\n    graph[u].add(v)\n    graph[v].add(u)\n\nk = int(input())\nbad_pairs = set()\nfor _ in range(k):\n    x, y = map(int, input().split())\n    bad_pairs.add((x, y))\n\nq = int(input())\nfor _ in range(q):\n    p, q = map(int, input().split())\n    if (p, q) in bad_pairs or (q, p) in bad_pairs:\n        print(\"No\")\n    else:\n        print(\"Yes\")",
                "from collections import deque\n\nn, m = map(int, input().split())\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nk = int(input())\nbad_pairs = [tuple(map(int, input().split())) for _ in range(k)]\n\nq = int(input())\nqueries = [tuple(map(int, input().split())) for _ in range(q)]\n\n\ndef bfs(start, end):\n    queue = deque([start])\n    visited = [False] * n\n    visited[start] = True\n    while queue:\n        node = queue.popleft()\n        for neighbor in graph[node]:\n            if neighbor == end:\n                return True\n            if not visited[neighbor]:\n                visited[neighbor] = True\n                queue.append(neighbor)\n    return False\n\n\nfor p, q in queries:\n    p -= 1\n    q -= 1\n    if any(bfs(pair[0] - 1, pair[1] - 1) for pair in bad_pairs if pair[0] in (p, q) and pair[1] in (p, q)):\n        print(\"No\")\n    else:\n        print(\"Yes\")",
                "from collections import deque\n\nn, m = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(m):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nk = int(input())\nbad_pairs = [tuple(map(int, input().split())) for _ in range(k)]\n\nq = int(input())\nqueries = [tuple(map(int, input().split())) for _ in range(q)]\n\n\ndef bfs(start, end):\n    visited = [False] * (n + 1)\n    queue = deque([start])\n    visited[start] = True\n    while queue:\n        node = queue.popleft()\n        for neighbor in graph[node]:\n            if neighbor == end:\n                return True\n            if not visited[neighbor]:\n                visited[neighbor] = True\n                queue.append(neighbor)\n    return False\n\n\nfor p, q in queries:\n    for x, y in bad_pairs:\n        if (x == p and y == q) or (x == q and y == p):\n            print(\"No\")\n            break\n        if bfs(x, p) and bfs(y, q):\n            print(\"No\")\n            break\n    else:\n        print(\"Yes\")",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nK = int(input())\n\nbad_pairs = [tuple(map(int, input().split())) for _ in range(K)]\n\nQ = int(input())\n\nqueries = [tuple(map(int, input().split())) for _ in range(Q)]\n\n\ndef dfs(v, prev, color):\n    visited[v] = True\n    color_map[v] = color\n    for nv in graph[v]:\n        if not visited[nv]:\n            dfs(nv, v, -color)\n        elif color_map[nv] == color:\n            return True\n    return False\n\n\ndef has_path(u, v):\n    global color_map, visited\n    visited = [False] * N\n    color_map = [0] * N\n    return dfs(u, -1, 1)\n\n\nfor p, q in bad_pairs:\n    p, q = p - 1, q - 1\n    if has_path(p, q):\n        print(\"No\")\n        exit()\n\nfor p, q in queries:\n    p, q = p - 1, q - 1\n    if has_path(p, q):\n        print(\"No\")\n    else:\n        print(\"Yes\")",
                "import sys\nfrom collections import defaultdict\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\ngraph = defaultdict(set)\nfor _ in range(M):\n    u, v = map(int, input().split())\n    graph[u].add(v)\n    graph[v].add(u)\n\nK = int(input())\nbad_pairs = set()\nfor _ in range(K):\n    x, y = map(int, input().split())\n    bad_pairs.add(frozenset([x, y]))\n\nQ = int(input())\nfor _ in range(Q):\n    p, q = map(int, input().split())\n    if frozenset([p, q]) in bad_pairs:\n        print(\"No\")\n    elif p in graph[q] or q in graph[p]:\n        print(\"Yes\")\n    elif any(p in graph[i] and q in graph[i] for i in range(1, N + 1)):\n        print(\"No\")\n    else:\n        print(\"Yes\")",
                "from collections import deque\n\nn, m = list(map(int, input().split()))\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    u, v = list(map(int, input().split()))\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nk = int(input())\nbad_pairs = [list(map(int, input().split())) for _ in range(k)]\n\nq = int(input())\nqueries = [list(map(int, input().split())) for _ in range(q)]\n\n\ndef bfs(start, end):\n    queue = deque([start])\n    visited = [False] * n\n    while queue:\n        node = queue.popleft()\n        if node == end:\n            return True\n        if visited[node]:\n            continue\n        visited[node] = True\n        queue.extend(graph[node])\n    return False\n\n\nfor pair in bad_pairs:\n    x, y = pair\n    x -= 1\n    y -= 1\n    for query in queries:\n        p, q = query\n        p -= 1\n        q -= 1\n        if bfs(p, x) and bfs(q, y):\n            print(\"No\")\n            break\n    else:\n        print(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n // 5))",
                "n = int(input())\nprint(5 * (n + 4) // 5)",
                "n = int(input())\nprint(5 * (n // 5))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "p, q = input().split()\ndistances = {\"A\": 0, \"B\": 3, \"C\": 4, \"D\": 8, \"E\": 9, \"F\": 14, \"G\": 23}\nprint(abs(distances[q] - distances[p]))",
                "p, q = input().split()\r\ndist = [3, 1, 4, 1, 5, 9]\r\nd = 0\r\nfor i in range(len(dist)):\r\n    if p == \"A\":\r\n        d += sum(dist[:i])\r\n        break\r\n    if p == chr(ord(list(p)[0]) - 1 + i + 65):\r\n        d += sum(dist[:i])\r\n        break\r\nfor i in range(len(dist)):\r\n    if q == \"A\":\r\n        d += sum(dist[i:])\r\n        break\r\n    if q == chr(ord(list(q)[0]) - 1 + i + 65):\r\n        d += sum(dist[i:])\r\n        break\r\nprint(d)\r",
                "p, q = input().split()\r\ndist = [3, 1, 4, 1, 5, 9]\r\ndist_sum = 0\r\nfor i in range(len(dist)):\r\n    if p == \"A\" and q == \"B\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"B\" and q == \"A\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"B\" and q == \"C\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"C\" and q == \"B\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"C\" and q == \"D\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"D\" and q == \"C\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"D\" and q == \"E\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"E\" and q == \"D\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"E\" and q == \"F\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"F\" and q == \"E\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"F\" and q == \"G\":\r\n        print(dist[i])\r\n        break\r\n    elif p == \"G\" and q == \"F\":\r\n        print(dist[i])\r\n        break\r\n    dist_sum += dist[i]\r\n    if p == \"A\":\r\n        p = \"B\"\r\n    elif p == \"B\":\r\n        p = \"C\"\r\n    elif p == \"C\":\r\n        p = \"D\"\r\n    elif p == \"D\":\r\n        p = \"E\"\r\n    elif p == \"E\":\r\n        p = \"F\"\r\n    elif p == \"F\":\r\n        p = \"G\"\r",
                "p, q = map(str, input().split())\nd = {\"A\": 0, \"B\": 3, \"C\": 4, \"D\": 8, \"E\": 9, \"F\": 14, \"G\": 23}\nprint(abs(d[p] - d[q]))",
                "p, q = input().split()\ndist = [3, 1, 4, 1, 5, 9]\r\nans = 0\r\nfor i in range(len(dist)):\r\n    if p == \"A\" and q == \"B\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"B\" and q == \"A\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"B\" and q == \"C\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"C\" and q == \"B\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"C\" and q == \"D\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"D\" and q == \"C\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"D\" and q == \"E\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"E\" and q == \"D\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"E\" and q == \"F\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"F\" and q == \"E\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"F\" and q == \"G\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"G\" and q == \"F\":\r\n        ans = dist[i]\r\n        break\r\n    if p == \"A\" and q != \"B\":\r\n        ans += dist[i]\r\n    elif p == \"B\" and q != \"A\" and q != \"C\":\r\n        ans += dist[i]\r\n    elif p == \"C\" and q != \"B\" and q != \"D\":\r\n        ans += dist[i]\r\n    elif p == \"D\" and q != \"C\" and q != \"E\":\r\n        ans += dist[i]\r\n    elif p == \"E\" and q != \"D\" and q != \"F\":\r\n        ans += dist[i]\r\n    elif p == \"F\" and q != \"E\" and q != \"G\":\r\n        ans += dist[i]\r\n    elif p == \"G\" and q != \"F\":\r\n        ans += dist[i]\r\n    if q == \"A\" and p != \"B\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\n    elif q == \"B\" and p != \"A\" and p != \"C\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\n    elif q == \"C\" and p != \"B\" and p != \"D\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\n    elif q == \"D\" and p != \"C\" and p != \"E\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\n    elif q == \"E\" and p != \"D\" and p != \"F\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\n    elif q == \"F\" and p != \"E\" and p != \"G\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\n    elif q == \"G\" and p != \"F\":\r\n        ans += dist[6 - i - 1]\r\n        break\r\nprint(ans)",
                "p, q = input().split()\r\ndist = [3, 1, 4, 1, 5, 9]\r\ndist_sum = 0\r\nfor i in range(len(dist)):\r\n    if p == \"A\":\r\n        break\r\n    if p == \"B\":\r\n        dist_sum += dist[i]\r\n        break\r\n    dist_sum += dist[i]\r\n    if p == \"C\":\r\n        break\r\nfor i in range(len(dist) - 1, -1, -1):\r\n    if q == \"G\":\r\n        break\r\n    if q == \"F\":\r\n        dist_sum += dist[i]\r\n        break\r\n    dist_sum += dist[i]\r\n    if q == \"E\":\r\n        break\r\nprint(dist_sum)\r",
                "p, q = input().split()\ndist = [3, 1, 4, 1, 5, 9]\r\nans = 0\r\nfor i in range(len(dist)):\r\n    if p == \"A\" and q == \"B\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"B\" and q == \"A\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"B\" and q == \"C\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"C\" and q == \"B\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"C\" and q == \"D\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"D\" and q == \"C\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"D\" and q == \"E\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"E\" and q == \"D\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"E\" and q == \"F\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"F\" and q == \"E\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"F\" and q == \"G\":\r\n        ans = dist[i]\r\n        break\r\n    elif p == \"G\" and q == \"F\":\r\n        ans = dist[i]\r\n        break\r\n    if p == \"A\" and q != \"B\":\r\n        ans += dist[i]\r\n    elif p == \"B\" and q != \"A\" and q != \"C\":\r\n        ans += dist[i]\r\n    elif p == \"C\" and q != \"B\" and q != \"D\":\r\n        ans += dist[i]\r\n    elif p == \"D\" and q != \"C\" and q != \"E\":\r\n        ans += dist[i]\r\n    elif p == \"E\" and q != \"D\" and q != \"F\":\r\n        ans += dist[i]\r\n    elif p == \"F\" and q != \"E\" and q != \"G\":\r\n        ans += dist[i]\r\n    elif p == \"G\" and q != \"F\":\r\n        ans += dist[i]\r\n    if q == \"A\" and p != \"B\":\r\n        ans = ans - dist[i]\r\n        break\r\n    elif q == \"B\" and p != \"A\" and p != \"C\":\r\n        ans = ans - dist[i]\r\n        break\r\n    elif q == \"C\" and p != \"B\" and p != \"D\":\r\n        ans = ans - dist[i]\r\n        break\r\n    elif q == \"D\" and p != \"C\" and p != \"E\":\r\n        ans = ans - dist[i]\r\n        break\r\n    elif q == \"E\" and p != \"D\" and p != \"F\":\r\n        ans = ans - dist[i]\r\n        break\r\n    elif q == \"F\" and p != \"E\" and p != \"G\":\r\n        ans = ans - dist[i]\r\n        break\r\n    elif q == \"G\" and p != \"F\":\r\n        ans = ans - dist[i]\r\n        break\r\nprint(ans)\r",
                "p, q = input().split()\r\nd = {\"A\": 0, \"B\": 3, \"C\": 4, \"D\": 8, \"E\": 9, \"F\": 14, \"G\": 23}\r\nprint(abs(d[p] - d[q]))",
                "p, q = input().split()\r\ndistances = {\"A\": 0, \"B\": 3, \"C\": 4, \"D\": 8, \"E\": 9, \"F\": 14, \"G\": 23}\r\nprint(abs(distances[p] - distances[q]))",
                "p, q = input().split()\r\nd = {\"A\": 0, \"B\": 3, \"C\": 4, \"D\": 8, \"E\": 9, \"F\": 14, \"G\": 23}\r\nprint(abs(d[p] - d[q]))"
            ],
            "pass1_list": [
                true,
                false,
                false,
                true,
                false,
                false,
                false,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "h, w = map(int, input().split())\na = []\nfor i in range(h):\n    a.append(input())\nfor i in range(1, h - 1):\n    for j in range(1, w - 1):\n        if a[i][j] == \".\" and a[i - 1][j - 1] == \"#\" and a[i - 1][j] == \"#\" and a[i - 1][j + 1] == \"#\" and a[i][j - 1] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j - 1] == \"#\" and a[i + 1][j] == \"#\" and a[i + 1][j + 1] == \"#\":\n            print(i + 1, j + 1)\n            exit()",
                "h, w = map(int, input().split())\na = []\nfor i in range(h):\n    a.append(input())\n\nfor i in range(h - 1):\n    for j in range(w - 1):\n        if a[i][j] == \"#\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \".\":\n            print(i + 1, j + 1)\n            exit()\n        elif a[i][j] == \"#\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \".\" and a[i + 1][j + 1] == \"#\":\n            print(i, j + 1)\n            exit()\n        elif a[i][j] == \".\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \"#\":\n            print(i + 1, j)\n            exit()\n        elif a[i][j] == \"#\" and a[i + 1][j] == \".\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \"#\":\n            print(i, j)\n            exit()",
                "h, w = map(int, input().split())\r\na = []\r\nfor i in range(h):\r\n    a.append(input())\r\nfor i in range(1, h - 1):\r\n    for j in range(1, w - 1):\r\n        if a[i][j] == '.' and a[i - 1][j - 1] == '#' and a[i - 1][j] == '#' and a[i - 1][j + 1] == '#' and a[i][j - 1] == '#' and a[i][j + 1] == '#' and a[i + 1][j - 1] == '#' and a[i + 1][j] == '#' and a[i + 1][j + 1] == '#':\r\n            print(i + 1, j + 1)\r\n            exit()\r",
                "h, w = map(int, input().split())\na = []\nfor i in range(h):\n    a.append(input())\n\nfor i in range(1, h - 1):\n    for j in range(1, w - 1):\n        if a[i][j] == '.' and a[i - 1][j - 1] == '#' and a[i - 1][j] == '#' and a[i - 1][j + 1] == '#' and a[i][j - 1] == '#' and a[i][j + 1] == '#' and a[i + 1][j - 1] == '#' and a[i + 1][j] == '#' and a[i + 1][j + 1] == '#':\n            print(i + 1, j + 1)\n            exit()",
                "h, w = map(int, input().split())\r\na = []\r\nfor i in range(h):\r\n    a.append(input())\r\nfor i in range(h - 1):\r\n    for j in range(w - 1):\r\n        if a[i][j] == \"#\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \"#\":\r\n            for x in range(i, h):\r\n                for y in range(j, w):\r\n                    if a[x][y] == \".\":\r\n                        print(x + 1, y + 1)\r\n                        exit()\r",
                "h, w = map(int, input().split())\r\na = []\r\nfor i in range(h):\r\n    a.append(input())\r\nfor i in range(h - 1):\r\n    for j in range(w - 1):\r\n        if a[i][j] == \"#\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \".\":\r\n            print(i + 1, j + 1)\r\n            exit()\r\n        elif a[i][j] == \"#\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \".\" and a[i + 1][j + 1] == \"#\":\r\n            print(i + 1, j + 1)\r\n            exit()\r\n        elif a[i][j] == \".\" and a[i + 1][j] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \"#\":\r\n            print(i + 1, j + 1)\r\n            exit()\r\n        elif a[i][j] == \"#\" and a[i + 1][j] == \".\" and a[i][j + 1] == \"#\" and a[i + 1][j + 1] == \"#\":\r\n            print(i + 1, j + 1)\r\n            exit()\r",
                "h, w = map(int, input().split())\na = []\nfor i in range(h):\n    a.append(input())\n\nfor i in range(1, h - 1):\n    for j in range(1, w - 1):\n        if a[i][j] == \".\" and a[i - 1][j - 1] == \"#\" and a[i - 1][j] == \"#\" and a[i - 1][j + 1] == \"#\" and a[i][j - 1] == \"#\" and a[i][j + 1] == \"#\" and a[i + 1][j - 1] == \"#\" and a[i + 1][j] == \"#\" and a[i + 1][j + 1] == \"#\":\n            print(i + 1, j + 1)\n            exit()",
                "h, w = map(int, input().split())\r\na = []\r\nfor i in range(h):\r\n    a.append(input())\r\nfor i in range(h):\r\n    for j in range(w):\r\n        if a[i][j] == \".\" and (i > 0 and a[i - 1][j] == \"#\") and (j > 0 and a[i][j - 1] == \"#\") and (\r\n                i + 1 < h and a[i + 1][j] == \"#\") and (j + 1 < w and a[i][j + 1] == \"#\"):\r\n            print(i + 1, j + 1)\r\n            exit()\r",
                "h, w = map(int, input().split())\n\ngrid = []\nfor i in range(h):\n    grid.append(input())\n\nfor i in range(1, h - 1):\n    for j in range(1, w - 1):\n        if (\n            grid[i][j] == \".\"\n            and grid[i - 1][j] == \"#\"\n            and grid[i + 1][j] == \"#\"\n            and grid[i][j - 1] == \"#\"\n            and grid[i][j + 1] == \"#\"\n        ):\n            print(i + 1, j + 1)\n            exit()",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\n\nS = []\nfor i in range(H):\n    S.append(input().rstrip())\n\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \".\":\n            continue\n        if (\n            i + 1 < H\n            and j + 1 < W\n            and S[i][j + 1] == \"#\"\n            and S[i + 1][j] == \"#\"\n            and S[i + 1][j + 1] == \"#\"\n        ):\n            print(i + 1, j + 1)\n            return"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\n\nsleep = []\nfor i in range(1, n, 2):\n    sleep.append((a[i], a[i + 1]))\n\nfor _ in range(q):\n    l, r = map(int, input().split())\n    ans = 0\n    for s, e in sleep:\n        if l <= s and e <= r:\n            ans += e - s\n        elif l <= s and e > r:\n            ans += r - s\n        elif l < e and s > r:\n            ans += e - l\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nsleep = []\nfor i in range(1, N, 2):\n    sleep.append((A[i], A[i + 1]))\n\nfor _ in range(Q):\n    l, r = map(int, input().split())\n    ans = 0\n    for s, e in sleep:\n        if l <= s and e <= r:\n            ans += e - s\n        elif l <= s and e > r:\n            ans += r - s\n        elif l < e and s < r:\n            ans += e - l\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\n\nQ = int(input())\n\nsleep = []\nfor i in range(1, N, 2):\n    sleep.append((A[i], A[i + 1]))\n\nfor _ in range(Q):\n    l, r = map(int, input().split())\n    ans = 0\n    for s, e in sleep:\n        if l <= s and e <= r:\n            ans += e - s\n        elif l <= s and e > r:\n            ans += r - s\n        elif l < e and s < r:\n            ans += e - l\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nsleep_time = []\nfor i in range(1, N, 2):\n    sleep_time.append((A[i], A[i + 1]))\n\nfor i in range(Q):\n    l, r = list(map(int, input().split()))\n    ans = 0\n    for s, e in sleep_time:\n        if s >= l and s < r:\n            ans += min(e, r) - s\n        elif l < s and e < r:\n            ans += e - s\n    print(ans)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nq = int(input())\r\n\r\nsleep_time = []\r\nfor i in range(1, n, 2):\r\n    sleep_time.append((a[i], a[i + 1] - a[i]))\r\n\r\nfor _ in range(q):\r\n    l, r = list(map(int, input().split()))\r\n    ans = 0\r\n    for s, t in sleep_time:\r\n        if l <= s <= r:\r\n            ans += min(r, s + t) - s\r\n        elif l <= s + t <= r:\r\n            ans += min(r, s + t) - max(l, s)\r\n    print(ans)\r",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nsleep = []\nfor i in range(N // 2):\n    sleep.append((A[2 * i + 1] - A[2 * i], i))\n\nsleep.sort()\n\nBIT = [0] * (N // 2)\n\n\ndef update(i, x):\n    while i < N // 2:\n        BIT[i] += x\n        i += i & -i\n\n\ndef get(i):\n    res = 0\n    while i > 0:\n        res += BIT[i - 1]\n        i -= i & -i\n    return res\n\n\nfor i in range(N // 2):\n    update(sleep[i][1], sleep[i][0])\n\nfor _ in range(Q):\n    l, r = map(int, input().split())\n    ans = 0\n    if l == 0:\n        ans = get(r // 2)\n    else:\n        ans = get(r // 2) - get((l + 1) // 2 - 1)\n    print(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nq = int(input())\n\nans = [0] * q\n\nfor i in range(q):\n    l, r = list(map(int, input().split()))\n    while r >= a[0]:\n        idx = 1\n        while idx < n and a[idx] < l:\n            idx += 2\n        if idx < n and a[idx] <= r:\n            ans[i] += a[idx + 1] - a[idx]\n            l = a[idx + 1]\n    print(ans[i])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nsleep = []\nfor i in range(1, N, 2):\n    sleep.append((A[i], A[i + 1]))\n\nfor _ in range(Q):\n    l, r = map(int, input().split())\n    ans = 0\n    for s, e in sleep:\n        if l <= s <= r:\n            ans += min(r, e) - s\n        elif l <= e <= r:\n            ans += e - max(l, s)\n    print(ans)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nq = int(input())\r\n\r\nsleep_time = []\r\nfor i in range(1, n, 2):\r\n    sleep_time.append((a[i], a[i + 1] - a[i]))\r\n\r\nfor _ in range(q):\r\n    l, r = map(int, input().split())\r\n    ans = 0\r\n    for t, s in sleep_time:\r\n        if l <= t and t < r:\r\n            ans += min(r, t + s) - t\r\n        elif l < t + s and t + s <= r:\r\n            ans += min(r, t + s) - max(l, t)\r\n    print(ans)\r",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nsleep = []\nfor i in range(1, N, 2):\n    sleep.append((A[i], A[i + 1]))\n\nfor _ in range(Q):\n    l, r = list(map(int, input().split()))\n    ans = 0\n    for s, e in sleep:\n        if l <= s and e <= r:\n            ans += e - s\n        elif l <= s and e > r:\n            ans += r - s\n        elif l < e and s < r:\n            ans += e - l\n    print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\n\ndist = [-1] * (n + 1)\ndist[guards[0][0]] = 0\nq = deque([guards[0][0]])\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nguarded = sorted(\n    [v for (v, d) in enumerate(dist) if d <= guards[0][1]], key=lambda x: x\n)\n\nprint(len(guarded))\nprint(*guarded)",
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\n\ndist = [-1] * (n + 1)\ndist[guards[0][0]] = 0\nq = deque([guards[0][0]])\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nguarded = sorted(\n    [v for (v, d) in enumerate(dist) if any(d <= h for (_, h) in guards)]\n)\nprint(len(guarded))\nprint(*guarded)",
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\ndist = [-1] * (n + 1)\ndist[guards[0][0]] = 0\nq = deque([guards[0][0]])\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\nguarded = sorted(\n    [v for (v, d) in enumerate(dist) if any(d <= h for (_, h) in guards)]\n)\nprint(len(guarded))\nprint(*guarded)",
                "import sys\nfrom collections import deque\n\ninput = sys.stdin.readline\n\nN, M, K = map(int, input().split())\n\ngraph = [[] for _ in range(N + 1)]\nguards = []\n\nfor _ in range(M):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\nfor _ in range(K):\n    p, h = map(int, input().split())\n    guards.append((p, h))\n\ndist = [-1] * (N + 1)\ndist[guards[0][0]] = 0\n\nq = deque([guards[0][0]])\n\nwhile q:\n    now = q.popleft()\n    for i in graph[now]:\n        if dist[i] == -1:\n            dist[i] = dist[now] + 1\n            q.append(i)\n\nans = []\nfor i in range(1, N + 1):\n    for p, h in guards:\n        if dist[i] <= h:\n            ans.append(i)\n            break\n\nans.sort()\n\nprint(len(ans))\nprint(*ans)",
                "import sys\nfrom collections import deque\n\ninput = sys.stdin.readline\n\nN, M, K = map(int, input().split())\n\ngraph = [[] for _ in range(N + 1)]\nguards = []\n\nfor _ in range(M):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\nfor _ in range(K):\n    p, h = map(int, input().split())\n    guards.append((p, h))\n\ndist = [float(\"inf\")] * (N + 1)\nq = deque()\n\nfor p, h in guards:\n    dist[p] = 0\n    q.append(p)\n\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] > dist[v] + 1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nguarded = sorted([v for v in range(1, N + 1) if dist[v] <= h])\n\nprint(len(guarded))\nprint(*guarded)",
                "import sys\nfrom collections import deque\n\ninput = sys.stdin.readline\n\nN, M, K = map(int, input().split())\n\ngraph = [[] for _ in range(N + 1)]\nguards = []\n\nfor _ in range(M):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\nfor _ in range(K):\n    p, h = map(int, input().split())\n    guards.append((p, h))\n\ndist = [-1] * (N + 1)\ndist[guards[0][0]] = 0\n\nq = deque([guards[0][0]])\n\nwhile q:\n    now = q.popleft()\n    for i in graph[now]:\n        if dist[i] == -1:\n            dist[i] = dist[now] + 1\n            q.append(i)\n\nans = []\nfor i in range(1, N + 1):\n    for j in range(K):\n        if dist[i] <= guards[j][1]:\n            ans.append(i)\n            break\n\nans.sort()\n\nprint(len(ans))\nprint(*ans)",
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\ndistances = [-1] * (n + 1)\ndistances[guards[0][0]] = 0\nq = deque([guards[0][0]])\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if distances[u] == -1:\n            distances[u] = distances[v] + 1\n            q.append(u)\nguarded = sorted(\n    [v for v in range(1, n + 1) if any(0 <= distances[v] <= h for (p, h) in guards)]\n)\nprint(len(guarded))\nprint(*guarded)",
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\n\ndistances = [-1] * (n + 1)\nq = deque()\nfor p, h in guards:\n    distances[p] = 0\n    q.append(p)\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if distances[u] == -1:\n            distances[u] = distances[v] + 1\n            q.append(u)\n\nguarded = sorted([v for v in range(1, n + 1) if distances[v] != -1])\nprint(len(guarded))\nprint(*guarded)",
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\n\ndist = [n + 1] * (n + 1)\nfor p, h in guards:\n    dist[p] = 0\nq = deque([p for (p, h) in guards])\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] > dist[v] + 1:\n            dist[u] = dist[v] + 1\n            q.append(u)\n\nguarded = sorted([v for v in range(1, n + 1) if dist[v] <= h])\nprint(len(guarded))\nprint(\" \".join(map(str, guarded)))",
                "from collections import deque\n\n(n, m, k) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nguards = []\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nfor _ in range(k):\n    (p, h) = map(int, input().split())\n    guards.append((p, h))\n\ndist = [n + 1] * (n + 1)\nfor p, h in guards:\n    dist[p] = 0\n    q = deque([p])\n    while q:\n        v = q.popleft()\n        for u in graph[v]:\n            if dist[u] > dist[v] + 1:\n                dist[u] = dist[v] + 1\n                q.append(u)\n\nguarded = sorted([v for v in range(1, n + 1) if dist[v] <= h])\nprint(len(guarded))\nprint(*guarded)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\nfor i in range(n):\n    print(s[i], s[i], sep=\"\", end=\"\")",
                "n = int(input())\ns = input()\n\nfor i in range(n):\n    print(s[i], s[i], end=\"\")",
                "n = int(input())\ns = input()\nans = \"\"\nfor i in range(n):\n    ans += s[i] * 2\nprint(ans)",
                "n = int(input())\ns = input()\nans = \"\"\nfor i in range(n):\n    ans += s[i] * 2\nprint(ans)",
                "n = int(input())\ns = input()\nfor i in range(n):\n    print(s[i], s[i], end=\"\")",
                "n = int(input())\ns = input()\n\nprint(s + s)",
                "n = int(input())\ns = input()\n\nfor i in range(n):\n    print(s[i], s[i], sep=\"\", end=\"\")",
                "n = int(input())\ns = input()\nans = \"\"\nfor i in range(n):\n    ans += s[i] * 2\nprint(ans)",
                "n = int(input())\ns = input()\nans = \"\"\nfor i in range(n):\n    ans += s[i] * 2\nprint(ans)",
                "n = int(input())\ns = input()\n\nfor i in range(n):\n    print(s[i] * 2, end=\"\")"
            ],
            "pass1_list": [
                true,
                false,
                true,
                true,
                false,
                false,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a = list(map(int, input().split()))\nprint(sum(2**i * x for i, x in enumerate(a)))",
                "a = list(map(int, input().split()))\nprint(sum(2**i * x for i, x in enumerate(a)))",
                "a = list(map(int, input().split()))\nprint(sum(2**i * x for i, x in enumerate(a)))",
                "a = list(map(int, input().split()))\nprint(sum([2**i * x for i, x in enumerate(a)]))",
                "a = list(map(int, input().split()))\nprint(sum(2**i * x for i, x in enumerate(a)))",
                "a = list(map(int, input().split()))\nprint(sum(2**i for i in range(64) if a[i]))",
                "a = list(map(int, input().split()))\nprint(sum(2**i * x for i, x in enumerate(a)))",
                "a = list(map(int, input().split()))\nprint(sum([2**i * x for i, x in enumerate(a)]))",
                "a = list(map(int, input().split()))\nprint(sum([2**i * x for i, x in enumerate(a)]))",
                "a = list(map(int, input().split()))\nprint(sum(2**i * x for i, x in enumerate(a)))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\nd = {}\nfor i in range(n):\n    d[i + 1] = []\nfor i in range(3 * n):\n    d[a[i]].append(i + 1)\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append((d[i][1], i))\nans.sort()\nfor i in ans:\n    print(i[1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nd = {}\nfor i in range(n):\n    d[i + 1] = []\nfor i in range(3 * n):\n    d[a[i]].append(i + 1)\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append((d[i][1], i))\nans.sort()\nfor i in ans:\n    print(i[1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[i + 1] = []\n\nfor i in range(3 * n):\n    d[a[i]].append(i)\n\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append((d[i][1], i))\n\nans.sort()\n\nfor i in range(n):\n    print(ans[i][1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[i + 1] = []\nfor i in range(3 * n):\n    d[a[i]].append(i)\n\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append((d[i][1], i))\nans.sort()\n\nfor i in range(n):\n    print(ans[i][1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[i + 1] = []\n\nfor i in range(3 * n):\n    d[a[i]].append(i)\n\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append((d[i][1], i))\n\nans.sort()\nfor i in ans:\n    print(i[1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\npos = {}\nfor i in range(n):\n    pos[i + 1] = []\nfor i in range(3 * n):\n    pos[a[i]].append(i)\n\nans = []\nfor i in range(1, n + 1):\n    pos[i].sort()\n    ans.append((pos[i][1], i))\nans.sort()\n\nfor i in range(n):\n    print(ans[i][1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nd = {}\nfor i in range(n):\n    d[i + 1] = []\nfor i in range(3 * n):\n    d[a[i]].append(i + 1)\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append([d[i][1], i])\nans.sort()\nfor i in ans:\n    print(i[1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[i + 1] = []\nfor i in range(n * 3):\n    d[a[i]].append(i + 1)\n\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append([d[i][1], i])\nans.sort()\n\nfor i in ans:\n    print(i[1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[i + 1] = []\n\nfor i in range(3 * n):\n    d[a[i]].append(i)\n\nans = []\nfor i in range(1, n + 1):\n    ans.append([d[i][1], i])\n\nans.sort()\n\nfor i in range(n):\n    print(ans[i][1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[i + 1] = []\n\nfor i in range(3 * n):\n    d[a[i]].append(i + 1)\n\nans = []\nfor i in d:\n    d[i].sort()\n    ans.append([d[i][1], i])\n\nans.sort()\n\nfor i in range(n):\n    print(ans[i][1], end=\" \")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\n\nif n == 1:\n    if x[0] == 1:\n        if y[0] > 0:\n            ans = y[0]\n    else:\n        ans = y[0]\n\nelse:\n    for i in range(n):\n        if x[i] == 1:\n            if y[i] > 0:\n                ans += y[i]\n            if i != n - 1:\n                if x[i + 1] == 0:\n                    if y[i + 1] > 0:\n                        ans += y[i + 1]\n                else:\n                    break\n        else:\n            if y[i] > 0:\n                ans += y[i]\n\n    for i in range(n - 1, -1, -1):\n        if x[i] == 1:\n            if y[i] > 0:\n                ans += y[i]\n            if i != 0:\n                if x[i - 1] == 0:\n                    if y[i - 1] > 0:\n                        ans += y[i - 1]\n                else:\n                    break\n        else:\n            if y[i] > 0:\n                ans += y[i]\n\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    x.append(int(input().split()[0]))\n    y.append(int(input().split()[1]))\n\nans = 0\n\nif x[0] == 1:\n    ans = max(ans, y[0])\nelse:\n    ans = 0\n\nfor i in range(1, n):\n    if x[i] == 0:\n        ans = max(ans, y[i] + y[i - 1])\n    elif x[i - 1] == 0:\n        ans = max(ans, y[i] + y[i - 1])\n    else:\n        ans = max(ans, y[i])\n\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    x.append(int(input().split()[0]))\n    y.append(int(input().split()[1]))\n\nans = 0\n\nif n == 1:\n    if x[0] == 0:\n        ans = y[0]\nelse:\n    for i in range(n - 1, -1, -1):\n        if x[i] == 0:\n            ans += y[i]\n        elif i == n - 1:\n            continue\n        elif x[i + 1] == 0:\n            ans += y[i]\n\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\nsum_ = 0\nfor i in range(n):\n    if x[i] == 0:\n        if sum_ < 0:\n            sum_ = y[i]\n        else:\n            sum_ += y[i]\n    elif sum_ < 0:\n        sum_ = y[i]\n    ans = max(ans, sum_)\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\n\npoison = 0\nfor i in range(n):\n    if x[i] == 0:\n        if poison == 0:\n            ans += y[i]\n        else:\n            ans = max(ans, y[i])\n    elif poison == 0:\n        ans += y[i]\n        poison = 1\n    else:\n        ans = max(ans, 0)\n        break\n\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\npoison = 0\nantidote = 0\nfor i in range(n):\n    if x[i] == 0:\n        if poison == 0:\n            antidote += y[i]\n        else:\n            poison = 0\n            ans += y[i]\n    elif poison == 0:\n        poison = 1\n        ans += y[i]\n    else:\n        pass\n\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\nans = 0\ns = 0\nfor i in range(n):\n    if x[i] == 0:\n        s += y[i]\n    elif x[i] == 1:\n        if s < 0:\n            s += y[i]\n        else:\n            s = y[i]\n    if s < 0:\n        s = 0\n    ans = max(ans, s)\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\ns = 0\nfor i in range(n):\n    if x[i] == 0:\n        s += y[i]\n    else:\n        if s < 0:\n            s = 0\n        else:\n            s += y[i]\n    ans = max(ans, s)\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\n\npoison = 0\nfor i in range(n):\n    if x[i] == 1:\n        if poison == 0:\n            poison = 1\n            ans += y[i]\n    else:\n        poison = 0\n\nprint(ans)",
                "n = int(input())\nx = []\ny = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    x.append(a)\n    y.append(b)\n\nans = 0\n\npoison = 0\n\nfor i in range(n):\n    if x[i] == 1:\n        if poison == 0:\n            poison = 1\n            ans += y[i]\n    else:\n        if poison == 1:\n            poison = 0\n            ans += y[i]\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nA = [0] * N\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    A[x] = y\n    A = sorted(A, reverse=True)\n    print(sum(A[:K]))",
                "import sys\nfrom bisect import *\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nA = [0] * N\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    if A[x] == y:\n        continue\n    A[x] = y\n    idx = bisect_right(A, y)\n    if idx > K:\n        print(0)\n    else:\n        print(sum(A[:idx]) - sum(sorted(A[:idx])[:(idx - K)]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nX = [0] * N\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    if X[x] == y:\n        continue\n    if X[x] > y:\n        X[x] = y\n        for j in range(x + 1, N):\n            if X[j] < X[j - 1]:\n                X[j - 1], X[j] = X[j], X[j - 1]\n                break\n    else:\n        X[x] = y\n        for j in range(x):\n            if X[j] < X[j + 1]:\n                X[j], X[j + 1] = X[j + 1], X[j]\n                break\n\n    X = X[:K]\n    X.sort(reverse=True)\n    print(sum(X))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\ndata = [0] * N\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    data[x] = y\n    data = sorted(data, reverse=True)\n    print(sum(data[:K]))",
                "import heapq\n\nN, K, Q = map(int, input().split())\n\nheap = []\nfor i in range(N):\n    heapq.heappush(heap, 0)\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    if heap[x] != y:\n        if heap[x] > y:\n            heapq.heappop(heap)\n        heapq.heappush(heap, y)\n        heapq.heapify(heap)\n\n    sum = 0\n    for j in range(K):\n        sum += heap[j]\n    print(sum)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nX = [0] * N\n\nfor _ in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    if X[x] != y:\n        if X[x]:\n            X[x] = y\n            X.sort(reverse=True)\n            print(sum(X[:K]))\n        else:\n            X[x] = y\n            if y:\n                X.sort(reverse=True)\n            print(sum(X[:K]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\ndata = [0] * N\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    data[x] = y\n    data = sorted(data, reverse=True)\n    print(sum(data[:K]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nA = [0] * N\n\nfor i in range(Q):\n    X, Y = map(int, input().split())\n    X -= 1\n    A[X] = Y\n    A.sort(reverse=True)\n    print(sum(A[:K]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nA = [0] * N\n\nfor i in range(Q):\n    X, Y = map(int, input().split())\n    X -= 1\n    A[X] = Y\n    A = sorted(A, reverse=True)\n    print(sum(A[:K]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, Q = map(int, input().split())\n\nX = [0] * N\n\nfor i in range(Q):\n    x, y = map(int, input().split())\n    x -= 1\n    X[x] = y\n\nX.sort(reverse=True)\n\nfor i in range(Q):\n    print(sum(X[:K]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n):\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nfor i in range(n):\r\n    print(sum(a[i * 7 : (i + 1) * 7]), end=\" \")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\n\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")\r",
                "n = int(input())\ns = [input() for i in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\n            print(\"Yes\")\n            exit()\n        if s[j] + s[i] == (s[j] + s[i])[::-1]:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = \"No\"\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            ans = \"Yes\"\r\nprint(ans)\r",
                "n = int(input())\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\n            print(\"Yes\")\n            exit()\n        if s[j] + s[i] == (s[j] + s[i])[::-1]:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = \"No\"\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            ans = \"Yes\"\r\nprint(ans)\r",
                "n = int(input())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = \"No\"\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if s[i] + s[j] == (s[i] + s[j])[::-1]:\r\n            ans = \"Yes\"\r\nprint(ans)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nHA, WA = map(int, input().split())\nA = [input().rstrip() for _ in range(HA)]\nHB, WB = map(int, input().split())\nB = [input().rstrip() for _ in range(HB)]\nHX, WX = map(int, input().split())\nX = [input().rstrip() for _ in range(HX)]\n\nfor i in range(WX - WB + 1):\n    for j in range(HX - HB + 1):\n        for k in range(WA - WX + 1):\n            for l in range(HA - HX + 1):\n                flag = True\n                for x in range(HX):\n                    for y in range(WX):\n                        if X[x][y] == '#':\n                            if A[l + x][k + y] == '#' or B[x + j][y + i] == '#':\n                                continue\n                            else:\n                                flag = False\n                                break\n                    if flag == False:\n                        break\n                if flag:\n                    for x in range(HX):\n                        for y in range(WX):\n                            if X[x][y] == '#' and A[l + x][k + y] == '#':\n                                A[l + x][k + y] = '.'\n                            if X[x][y] == '#' and B[x + j][y + i] == '#':\n                                B[x + j][y + i] = '.'\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "from itertools import product\n\nfor _ in range(int(input())):\n    (ha, wa) = map(int, input().split())\n    a = [input() for _ in range(ha)]\n    (hb, wb) = map(int, input().split())\n    b = [input() for _ in range(hb)]\n    (hx, wx) = map(int, input().split())\n    x = [input() for _ in range(hx)]\n    for dx, dy in product(range(wx), range(hx)):\n        c = [['.'] * (wa + wb + dx) for _ in range(ha + hb + dy)]\n        for i in range(ha):\n            for j in range(wa):\n                c[i + dy][j + dx] = a[i][j]\n        for i in range(hb):\n            for j in range(wb):\n                c[i + dy][j + dx] = max(c[i + dy][j + dx], b[i][j])\n        if c[ha + hb + dy - 1][wa + wb + dx - 1] == '.':\n            continue\n        ok = True\n        for i in range(ha + hb + dy):\n            for j in range(wa + wb + dx):\n                if c[i][j] != x[i][j]:\n                    ok = False\n                    break\n            if not ok:\n                break\n        if ok:\n            print('Yes')\n            break\n    else:\n        print('No')",
                "from itertools import product\n\n(ha, wa) = map(int, input().split())\na = [input() for _ in range(ha)]\n(hb, wb) = map(int, input().split())\nb = [input() for _ in range(hb)]\n(hx, wx) = map(int, input().split())\nx = [input() for _ in range(hx)]\n\nfor dx, dy in product(range(wx), range(hx)):\n    for i in range(ha):\n        for j in range(wa):\n            if a[i][j] == \"#\":\n                x[i + dy][j + dx] = \"#\"\n    for i in range(hb):\n        for j in range(wb):\n            if b[i][j] == \"#\":\n                x[i + dy][j + dx] = \"#\"\n    if all(row == line for row, line in zip(x, x)):\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nH_A, W_A = map(int, input().split())\nA = [input().rstrip() for _ in range(H_A)]\nH_B, W_B = map(int, input().split())\nB = [input().rstrip() for _ in range(H_B)]\nH_X, W_X = map(int, input().split())\nX = [input().rstrip() for _ in range(H_X)]\n\nfor i in range(H_X - H_A + 1):\n    for j in range(W_X - W_A + 1):\n        for k in range(H_X - H_B + 1):\n            for l in range(W_X - W_B + 1):\n                flag = True\n                for m in range(H_A):\n                    for n in range(W_A):\n                        if A[m][n] == '#' and X[i + m][j + n] == '.':\n                            flag = False\n                for m in range(H_B):\n                    for n in range(W_B):\n                        if B[m][n] == '#' and X[k + m][l + n] == '.':\n                            flag = False\n                for m in range(H_A):\n                    for n in range(W_A):\n                        if A[m][n] == '#' and X[k + m][l + n] == '#':\n                            flag = False\n                for m in range(H_B):\n                    for n in range(W_B):\n                        if B[m][n] == '#' and X[i + m][j + n] == '#':\n                            flag = False\n                if flag:\n                    print(\"Yes\")\n                    return\nprint(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nH_A, W_A = map(int, input().split())\nA = [input().rstrip() for _ in range(H_A)]\nH_B, W_B = map(int, input().split())\nB = [input().rstrip() for _ in range(H_B)]\nH_X, W_X = map(int, input().split())\nX = [input().rstrip() for _ in range(H_X)]\n\nfor i in range(H_A + H_X - 1):\n    for j in range(W_A + W_X - 1):\n        for k in range(H_B + H_X - 1):\n            for l in range(W_B + W_X - 1):\n                flag = True\n                for x in range(H_X):\n                    for y in range(W_X):\n                        if X[x][y] == '#':\n                            if A[i + x][j + y] == '#' or B[k + x][l + y] == '#':\n                                continue\n                            else:\n                                flag = False\n                                break\n                    if not flag:\n                        break\n                if flag:\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "from itertools import product\n\nha, wa = map(int, input().split())\na = [input() for _ in range(ha)]\nhb, wb = map(int, input().split())\nb = [input() for _ in range(hb)]\nhx, wx = map(int, input().split())\nx = [input() for _ in range(hx)]\n\nfor dx in range(wx):\n    for dy in range(hx):\n        for da in product(range(wx - wa + 1), range(hx - ha + 1)):\n            for db in product(range(wx - wb + 1), range(hx - hb + 1)):\n                ok = True\n                for i in range(ha):\n                    for j in range(wa):\n                        if a[i][j] == '#' and x[i + da[1]][j + da[0]] == '.':\n                            ok = False\n                            break\n                    if not ok:\n                        break\n                if not ok:\n                    continue\n                for i in range(hb):\n                    for j in range(wb):\n                        if b[i][j] == '#' and x[i + db[1]][j + db[0]] == '.':\n                            ok = False\n                            break\n                    if not ok:\n                        break\n                if ok:\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "def solve():\n    (ha, wa) = map(int, input().split())\n    a = [input() for _ in range(ha)]\n    (hb, wb) = map(int, input().split())\n    b = [input() for _ in range(hb)]\n    (hx, wx) = map(int, input().split())\n    x = [input() for _ in range(hx)]\n    for dx in range(wx):\n        for dy in range(hx):\n            ca = [[0] * (wx + wa - 1) for _ in range(hx + ha - 1)]\n            for i in range(ha):\n                for j in range(wa):\n                    ca[i + dy][j + dx] = a[i][j]\n            for i in range(hb):\n                for j in range(wb):\n                    ca[i + dy][j + dx] = max(ca[i + dy][j + dx], b[i][j])\n            if ca[dy + hx - 1][:wx] == x[-1]:\n                continue\n            flag = True\n            for i in range(hx):\n                if ca[dy + i][:wx] != x[i]:\n                    flag = False\n                    break\n            if flag:\n                print(\"Yes\")\n                return\n    print(\"No\")\n\n\nsolve()",
                "def solve():\n    (h1, w1) = map(int, input().split())\n    a = [input() for _ in range(h1)]\n    (h2, w2)) = map(int, input().split())\n    b = [input() for _ in range(h2)]\n    (hx, wx) = map(int, input().split())\n    x = [input() for _ in range(hx)]\n    for i in range(wx + w1 - 1):\n        for j in range(hx + h1 - 1):\n            for k in range(w2 + 1):\n                for l in range(h2 + 1):\n                    if k + w1 > wx or l + h1 > hx:\n                        break\n                    c = [[\".\"] * wx for _ in range(hx)]\n                    for i1 in range(h1):\n                        for j1 in range(w1):\n                            c[i1 + j][j1 + k] = a[i1][j1]\n                    for i2 in range(h2):\n                        for j2 in range(w2):\n                            c[i2 + i][j2 + k] = b[i2][j2]\n                    if c == x:\n                        print(\"Yes\")\n                        return\n    print(\"No\")\n\n\nsolve()",
                "import sys\n\ninput = sys.stdin.readline\n\nH_A, W_A = map(int, input().split())\nA = [input().rstrip() for _ in range(H_A)]\nH_B, W_B = map(int, input().split())\nB = [input().rstrip() for _ in range(H_B)]\nH_X, W_X = map(int, input().split())\nX = [input().rstrip() for _ in range(H_X)]\n\nfor i in range(H_A + H_X - 1):\n    for j in range(W_A + W_X - 1):\n        for k in range(H_B + H_X - 1):\n            for l in range(W_B + W_X - 1):\n                flag = True\n                for h in range(H_X):\n                    for w in range(W_X):\n                        if A[i + h][j + w] == '#' or B[k + h][l + w] == '#':\n                            if X[h][w] == '.':\n                                flag = False\n                                break\n                    if not flag:\n                        break\n                if flag:\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve():\n    ha, wa = map(int, input().split())\n    a = [input().rstrip() for _ in range(ha)]\n    hb, wb = map(int, input().split())\n    b = [input().rstrip() for _ in range(hb)]\n    hx, wx = map(int, input().split())\n    x = [input().rstrip() for _ in range(hx)]\n    for i in range(ha + hx - 1, -1, -1):\n        for j in range(wa + wx - 1, -1, -1):\n            if a[i - ha + ha - 1 : i + 1] + b[j - wa + wa - 1 : j + 1] == x:\n                return \"Yes\"\n    return \"No\"\n\n\nprint(solve())"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\ns = input()\r\nstack = []\r\nans = \"\"\r\nfor i in s:\r\n    if i == \"(\":\r\n        stack.append(i)\r\n    elif i == \")\":\r\n        if stack:\r\n            stack.pop()\r\n    else:\r\n        if not stack:\r\n            ans += i\r\nprint(ans)\r",
                "n = int(input())\ns = input()\n\nstack = []\nans = \"\"\nfor c in s:\n    if c == \"(\":\n        stack.append(c)\n    elif c == \")\":\n        if stack:\n            stack.pop()\n        else:\n            ans += c\n    else:\n        if not stack:\n            ans += c\n        else:\n            stack.append(c)\n\nfor c in stack:\n    ans += c\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nstack = []\nans = \"\"\nfor c in s:\n    if c == \"(\":\n        stack.append(c)\n    elif c == \")\":\n        if stack and stack[-1] == \"(\":\n            stack.pop()\n        else:\n            ans += c\n    else:\n        if not stack:\n            ans += c\n        else:\n            stack.append(c)\n\nprint(ans)",
                "n = int(input())\r\ns = input()\r\nstack = []\r\nans = \"\"\r\nfor i in s:\r\n    if i == \"(\":\r\n        stack.append(i)\r\n    elif i == \")\":\r\n        if stack and stack[-1] == \"(\":\r\n            stack.pop()\r\n    else:\r\n        if not stack:\r\n            ans += i\r\nprint(ans)\r",
                "n = int(input())\ns = input()\n\nstack = []\nans = []\nfor i in s:\n    if i == \"(\":\n        stack.append(i)\n    elif i == \")\":\n        if stack:\n            stack.pop()\n        else:\n            ans.append(i)\n    else:\n        if not stack:\n            ans.append(i)\n\nprint(\"\".join(ans))",
                "n = int(input())\ns = input()\n\nstack = []\nans = []\n\nfor c in s:\n    if c == \"(\":\n        stack.append(c)\n    elif c == \")\":\n        if stack:\n            stack.pop()\n        else:\n            ans.append(c)\n    else:\n        if stack:\n            ans.append(c)\n\nprint(\"\".join(ans))",
                "n = int(input())\r\ns = input()\r\nstack = []\r\nans = []\r\nfor i in s:\r\n    if i == \"(\":\r\n        stack.append(i)\r\n    elif i == \")\":\r\n        if stack:\r\n            stack.pop()\r\n    else:\r\n        if not stack:\r\n            ans.append(i)\r\nprint(*ans, sep=\"\")\r",
                "n = int(input())\ns = input()\n\nstack = []\nans = \"\"\n\nfor c in s:\n    if c == \"(\":\n        stack.append(c)\n    elif c == \")\":\n        if stack:\n            stack.pop()\n    else:\n        if not stack:\n            ans += c\n\nprint(ans)",
                "n = int(input())\r\ns = input()\r\nstack = []\r\nans = \"\"\r\nfor i in s:\r\n    if i == \"(\":\r\n        stack.append(i)\r\n    elif i == \")\":\r\n        if stack:\r\n            stack.pop()\r\n    else:\r\n        if not stack:\r\n            ans += i\r\nprint(ans)\r",
                "n = int(input())\r\ns = input()\r\nstack = []\r\nans = []\r\nfor i in s:\r\n    if i == \"(\":\r\n        stack.append(i)\r\n    elif i == \")\":\r\n        if stack:\r\n            stack.pop()\r\n    else:\r\n        if not stack:\r\n            ans.append(i)\r\nprint(*ans, sep=\"\")\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def egcd(a, b):\r\n    if a == 0:\r\n        return (b, 0, 1)\r\n    else:\r\n        g, y, x = egcd(b % a, a)\r\n        return (g, x - b // a * y, y)\r\n\r\n\r\ndef modinv(a, m):\r\n    g, x, y = egcd(a, m)\r\n    if g != 1:\r\n        raise ValueError\r\n    else:\r\n        return x % m\r\n\r\n\r\ndef solve(n, m):\r\n    mod = 998244353\r\n    if n == 1:\r\n        return m % mod\r\n    else:\r\n        return (\r\n            pow(m, n, mod)\r\n            - n * (m - 1) * pow(m - 1, n - 1, mod)\r\n            + (n - 1) * (m - 1) * pow(m - 2, n - 2, mod)\r\n        ) % mod\r\n\r\n\r\n(n, m) = map(int, input().split())\r\nprint(solve(n, m))\r",
                "def egcd(a, b):\r\n    if a == 0:\r\n        return (b, 0, 1)\r\n    else:\r\n        g, y, x = egcd(b % a, a)\r\n        return (g, x - b // a * y, y)\r\n\r\n\r\ndef modinv(a, m):\r\n    g, x, y = egcd(a, m)\r\n    if g != 1:\r\n        raise Exception(\"Modular inverse does not exist\")\r\n    else:\r\n        return x % m\r\n\r\n\r\n(n, m) = map(int, input().split())\r\nmod = 998244353\r\nif n == 2:\r\n    print(m * (m - 1) % mod)\r\nelse:\r\n    a = m\r\n    b = m - 1\r\n    c = m - 2\r\n    for i in range(3, n + 1):\r\n        a = a * b % mod\r\n        b = b * c % mod\r\n    print(a)\r",
                "def egcd(a, b):\r\n    if a == 0:\r\n        return (b, 0, 1)\r\n    else:\r\n        g, y, x = egcd(b % a, a)\r\n        return (g, x - b // a * y, y)\r\n\r\n\r\ndef modinv(a, m):\r\n    g, x, y = egcd(a, m)\r\n    if g != 1:\r\n        raise Exception(\"Modular inverse does not exist\")\r\n    else:\r\n        return x % m\r\n\r\n\r\n(n, m) = map(int, input().split())\r\nmod = 998244353\r\nif n == 2:\r\n    print(m * (m - 1) % mod)\r\nelse:\r\n    a = m\r\n    b = m - 1\r\n    c = m - 2\r\n    for i in range(3, n + 1):\r\n        a = a * b % mod\r\n        b = b * c % mod\r\n    print(a)\r",
                "def egcd(a, b):\r\n    if a == 0:\r\n        return (b, 0, 1)\r\n    else:\r\n        g, y, x = egcd(b % a, a)\r\n        return (g, x - b // a * y, y)\r\n\r\n\r\ndef modinv(a, m):\r\n    g, x, y = egcd(a, m)\r\n    if g != 1:\r\n        raise Exception(\"Modular inverse does not exist\")\r\n    else:\r\n        return x % m\r\n\r\n\r\ndef main():\r\n    n, m = map(int, input().split())\r\n    mod = 998244353\r\n    a = (m - 1) * m ** (n - 1)\r\n    b = m - 2\r\n    c = m - 1\r\n    d = m\r\n    x = modinv(b, mod)\r\n    y = modinv(c, mod)\r\n    z = modinv(d, mod)\r\n    ans = a * (x + y - z) % mod\r\n    print(ans)\r\n\r\n\r\nmain()\r",
                "def egcd(a, b):\n    if a == 0:\n        return (b, 0, 1)\n    else:\n        g, y, x = egcd(b % a, a)\n        return (g, x - b // a * y, y)\n\n\ndef modinv(a, m):\n    g, x, y = egcd(a, m)\n    if g != 1:\n        raise ValueError\n    return x % m\n\n\ndef comb(n, k, mod):\n    if k < 0 or k > n:\n        return 0\n    r = 1\n    for i in range(k):\n        r = r * (n - i) * modinv(i + 1, mod) % mod\n    return r\n\n\ndef solve(n, m, mod):\n    if n == 1:\n        return m\n    a = (m - 1) * comb(m + n - 2, n - 1, mod) % mod\n    b = comb(m, 2, mod)\n    c = (m - 1) ** 2\n    d = modinv(c, mod)\n    return (a - b * d) % mod\n\n\n(n, m) = map(int, input().split())\nmod = 998244353\nprint(solve(n, m, mod))",
                "def main():\n    n, m = map(int, input().split())\n    mod = 998244353\n    if n == 2:\n        print(m * (m - 1) % mod)\n        return\n    f = [1] * (n + 1)\n    for i in range(2, n + 1):\n        f[i] = f[i - 1] * i % mod\n    ans = pow(m, n, mod)\n    ans -= m * (m - 1) * pow(m - 1, n - 2, mod) * f[n - 1] * f[n - 2] % mod\n    ans %= mod\n    for i in range(3, n):\n        ans -= m * (m - 1) * pow(m - 2, n - i - 1, mod) * f[n - 1] * f[n - i - 1] % mod\n        ans %= mod\n    print(ans)\n\n\nmain()",
                "mod = 998244353\n(n, m) = map(int, input().split())\nif m == 1:\n    print(0)\nelse:\n    a = pow(m - 1, n, mod)\n    b = pow(m, n, mod)\n    c = pow(m - 2, n, mod)\n    d = pow(m - 1, n - 1, mod)\n    print((a - c + mod) * (b - d + mod) % mod)",
                "def main():\n    (n, m) = map(int, input().split())\n    mod = 998244353\n    if m == 1:\n        print(0)\n        return\n    if n == 1:\n        print(m)\n        return\n    a = pow(m, n, mod)\n    b = pow(m - 1, n, mod)\n    c = pow(m - 2, n, mod)\n    d = (m - 1) * (m - 2)\n    ans = (a - b - c + d) % mod\n    print(ans)\n\n\nmain()",
                "def egcd(a, b):\r\n    if a == 0:\r\n        return (b, 0, 1)\r\n    else:\r\n        g, y, x = egcd(b % a, a)\r\n        return (g, x - b // a * y, y)\r\n\r\n\r\ndef modinv(a, m):\r\n    g, x, y = egcd(a, m)\r\n    if g != 1:\r\n        raise Exception(\"Modular inverse does not exist\")\r\n    else:\r\n        return x % m\r\n\r\n\r\ndef powmod(a, n, m):\r\n    if n == 0:\r\n        return 1\r\n    elif n % 2 == 0:\r\n        s = powmod(a, n // 2, m)\r\n        return s * s % m\r\n    else:\r\n        return a * powmod(a, n - 1, m) % m\r\n\r\n\r\ndef comb(n, k, mod):\r\n    if k < 0 or k > n:\r\n        return 0\r\n    k = min(k, n - k)\r\n    num = den = 1\r\n    for i in range(k):\r\n        num = num * (n - i) % mod\r\n        den = den * (i + 1) % mod\r\n    return num * modinv(den, mod) % mod\r\n\r\n\r\ndef solve(n, m, mod):\r\n    if n == 1:\r\n        return m % mod\r\n    return (\r\n        m\r\n        * (m - 1)\r\n        % mod\r\n        * powmod(comb(m - 2, n - 2, mod) + comb(m - 1, n - 2, mod), n - 1, mod)\r\n        % mod\r\n    )\r\n\r\n\r\n(n, m) = map(int, input().split())\r\nmod = 998244353\r\nprint(solve(n, m, mod))\r",
                "def egcd(a, b):\r\n    if a == 0:\r\n        return (b, 0, 1)\r\n    else:\r\n        (g, y, x) = egcd(b % a, a)\r\n        return (g, x - b // a * y, y)\r\n\r\n\r\ndef modinv(a, m):\r\n    (g, x, y) = egcd(a, m)\r\n    if g != 1:\r\n        raise Exception(\"Modular inverse does not exist\")\r\n    else:\r\n        return x % m\r\n\r\n\r\ndef solve(n, m):\r\n    mod = 998244353\r\n    a = 1\r\n    b = 1\r\n    for i in range(n):\r\n        a = a * (m - 1) % mod\r\n        b = b * (m - 2) % mod\r\n    return a * modinv(b, mod) % mod\r\n\r\n\r\n(n, m) = map(int, input().split())\r\nprint(solve(n, m))\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = list(map(int, input().split()))\n\nif all(100 <= i <= 675 and i % 25 == 0 for i in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= x <= 675 and x % 25 == 0 for x in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= x <= 675 and x % 25 == 0 for x in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= x <= 675 and x % 25 == 0 for x in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= i <= 675 and i % 25 == 0 for i in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= i <= 675 and i % 25 == 0 for i in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= x <= 675 and x % 25 == 0 for x in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= i <= 675 and i % 25 == 0 for i in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= x <= 675 and x % 25 == 0 for x in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = list(map(int, input().split()))\n\nif all(100 <= x <= 675 and x % 25 == 0 for x in s) and all(s[i] <= s[i + 1] for i in range(7)):\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        index = d.index(i)\n        total += p[index]\n    else:\n        total += p[0]\n\nprint(total)",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        index = d.index(i)\n        total += p[index]\n    else:\n        total += p[0]\nprint(total)",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        total += p[d.index(i) + 1]\n    else:\n        total += p[0]\nprint(total)",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        index = d.index(i)\n        total += p[index]\n    else:\n        total += p[0]\n\nprint(total)",
                "n, m = map(int, input().split())\r\nc = list(map(str, input().split()))\r\nd = list(map(str, input().split()))\r\np = list(map(int, input().split()))\r\n\r\ntotal = 0\r\nfor i in c:\r\n    if i in d:\r\n        index = d.index(i)\r\n        total += p[index]\r\n    else:\r\n        total += p[0]\r\nprint(total)\r",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        index = d.index(i)\n        total += p[index]\n    else:\n        total += p[0]\nprint(total)",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        index = d.index(i)\n        total += p[index]\n    else:\n        total += p[0]\nprint(total)",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        total += p[d.index(i) + 1]\n    else:\n        total += p[0]\n\nprint(total)",
                "n, m = map(int, input().split())\nc = list(map(str, input().split()))\nd = list(map(str, input().split()))\np = list(map(int, input().split()))\n\ntotal = 0\nfor i in c:\n    if i in d:\n        index = d.index(i)\n        total += p[index]\n    else:\n        total += p[0]\n\nprint(total)",
                "n, m = map(int, input().split())\r\nc = list(map(str, input().split()))\r\nd = list(map(str, input().split()))\r\np = list(map(int, input().split()))\r\n\r\ntotal = 0\r\nfor i in c:\r\n    if i in d:\r\n        index = d.index(i)\r\n        total += p[index]\r\n    else:\r\n        total += p[0]\r\nprint(total)\r"
            ],
            "pass1_list": [
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                true,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nab = [list(map(int, input().split())) for _ in range(n)]\nab.sort(key=lambda x: (x[0] / (x[0] + x[1]), x[1]), reverse=True)\nprint(\" \".join(map(str, [i + 1 for i, _ in enumerate(ab)])))",
                "n = int(input())\nab = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    ab.append((-a / (a + b), i + 1))\nab.sort()\nprint(*ab)",
                "n = int(input())\nab = [list(map(int, input().split())) for _ in range(n)]\nab.sort(key=lambda x: (-x[0] / (x[0] + x[1]), x[1]))\nprint(\" \".join(map(str, [i + 1 for a, b in ab])))",
                "n = int(input())\nab = [list(map(int, input().split())) for _ in range(n)]\nab.sort(key=lambda x: (x[0] / (x[0] + x[1]), x[1]), reverse=True)\nprint(*[i + 1 for i in range(n)], sep=\" \")",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: (-x[0] / (x[0] + x[1]), x[1]))\nfor i in a:\n    print(i[1] + 1, end=\" \")",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((-x / (x + y), i + 1))\na.sort()\nprint(*[str(i) for _, i in a])",
                "n = int(input())\nab = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    ab.append((-a / (a + b), i + 1))\nab.sort()\nprint(*[i for _, i in ab])",
                "n = int(input())\nab = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    ab.append((-a / (a + b), i + 1))\nab.sort()\nprint(*[i for _, i in ab])",
                "n = int(input())\nab = [list(map(int, input().split())) for i in range(n)]\nab.sort(key=lambda x: (x[0] / (x[0] + x[1]), x[1]), reverse=True)\nprint(*[i + 1 for i in range(n)], sep=\" \")",
                "n = int(input())\nab = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    ab.append((a / (a + b), i + 1))\nab.sort(reverse=True)\nprint(*[str(i) for _, i in ab])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nh, w = map(int, input().split())\nsnuke = \"snuke\"\ns = [input() for _ in range(h)]\n\ndx = [0, 0, 1, -1, 1, 1, -1, -1]\ndy = [1, -1, 0, 0, 1, -1, 1, -1]\n\nvisited = [[False] * w for _ in range(h)]\n\nq = deque([(0, 0)])\nvisited[0][0] = True\n\nwhile q:\n    x, y = q.popleft()\n    for i in range(8):\n        nx, ny = x + dx[i], y + dy[i]\n        if 0 <= nx < h and 0 <= ny < w:\n            if s[nx][ny] == snuke[(x + y + i) % 5]:\n                if nx == h - 1 and ny == w - 1:\n                    print(\"Yes\")\n                    exit()\n                if not visited[nx][ny]:\n                    visited[nx][ny] = True\n                    q.append((nx, ny))\n\nprint(\"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\nsnuke = \"snuke\"\ns = [input() for _ in range(h)]\n\nvisited = [[False] * w for _ in range(h)]\nq = deque([(0, 0)])\nvisited[0][0] = True\n\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (1, 0), (0, -1), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w:\n            if not visited[ny][nx] and s[ny][nx] == snuke[(y + x + 1) % 5]:\n                visited[ny][nx] = True\n                q.append((ny, nx))\n                if ny == h - 1 and nx == w - 1:\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "h, w = map(int, input().split())\nsnuke = \"snuke\"\ns = [input() for _ in range(h)]\ndp = [[False] * w for _ in range(h)]\ndp[0][0] = s[0][0] == \"s\"\nfor i in range(1, h):\n    dp[i][0] = dp[i - 1][0] and s[i][0] == \"n\"\nfor j in range(1, w):\n    dp[0][j] = dp[0][j - 1] and s[0][j] == \"u\"\nfor i in range(1, h):\n    for j in range(1, w):\n        dp[i][j] = (dp[i - 1][j] and s[i][j] == \"k\") or (dp[i][j - 1] and s[i][j] == \"e\")\nprint(\"Yes\" if dp[-1][-1] else \"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\nsnuke = \"snuke\"\ns = []\nfor _ in range(h):\n    s.append(input())\n\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] != snuke[(i + j) % 5]:\n            s[i] = s[i][:j] + \" \" + s[i][j + 1 :]\n\nq = deque([(0, 0)])\nwhile q:\n    i, j = q.popleft()\n    if i == h - 1 and j == w - 1:\n        print(\"Yes\")\n        exit()\n    if i > 0:\n        q.append((i - 1, j))\n    if i < h - 1:\n        q.append((i + 1, j))\n    if j > 0:\n        q.append((i, j - 1))\n    if j < w - 1:\n        q.append((i, j + 1))\nprint(\"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\nsnuke = \"snuke\"\ns = [input() for _ in range(h)]\n\ndx = [0, 0, -1, 1, -1, 1, -1, 1, 0]\ndy = [1, -1, 0, 0, -1, -1, 1, 1, 0]\n\ndist = [[0] * w for _ in range(h)]\ndist[0][0] = 1\nq = deque([(0, 0)])\nwhile q:\n    x, y = q.popleft()\n    for i in range(8):\n        nx, ny = x + dx[i], y + dy[i]\n        if 0 <= nx < h and 0 <= ny < w:\n            if s[nx][ny] == snuke[(dist[x][y] - 1) % 5]:\n                dist[nx][ny] = dist[x][y] + 1\n                q.append((nx, ny))\n\nprint(\"Yes\" if dist[h - 1][w - 1] else \"No\")",
                "from collections import deque\n\nH, W = map(int, input().split())\nsnuke = \"snuke\"\nS = [input() for _ in range(H)]\n\ndx = [0, 1, 0, -1]\ndy = [1, 0, -1, 0]\n\nvisited = [[False for _ in range(W)] for _ in range(H)]\nq = deque([(0, 0)])\nvisited[0][0] = True\n\nwhile q:\n    x, y = q.popleft()\n    for i in range(4):\n        nx, ny = x + dx[i], y + dy[i]\n        if 0 <= nx < H and 0 <= ny < W:\n            if S[nx][ny] == snuke[(x + y + i) % 5]:\n                if nx == H - 1 and ny == W - 1:\n                    print(\"Yes\")\n                    exit()\n                if not visited[nx][ny]:\n                    visited[nx][ny] = True\n                    q.append((nx, ny))\nprint(\"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\nsnuke = \"snuke\"\ngrid = [input() for _ in range(h)]\n\nvisited = [[False for _ in range(w)] for _ in range(h)]\nq = deque([(0, 0)])\nvisited[0][0] = True\n\nwhile q:\n    y, x = q.popleft()\n    for dy, dx in [(0, 1), (1, 0), (0, -1), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w:\n            if not visited[ny][nx] and grid[ny][nx] == snuke[(y + x + 1) % 5]:\n                visited[ny][nx] = True\n                q.append((ny, nx))\n                if ny == h - 1 and nx == w - 1:\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\ns = [input() for _ in range(h)]\nsnuke = \"snuke\"\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\ndist = [[0 for _ in range(w)] for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        dist[i][j] = 1e9\ndist[0][0] = 0\nq = deque([(0, 0)])\nwhile q:\n    y, x = q.popleft()\n    for i in range(4):\n        ny = y + dy[i]\n        nx = x + dx[i]\n        if 0 <= ny < h and 0 <= nx < w:\n            if s[ny][nx] == snuke[(dist[y][x] + 1) % 5]:\n                if dist[ny][nx] > dist[y][x] + 1:\n                    dist[ny][nx] = dist[y][x] + 1\n                    q.append((ny, nx))\n\nprint(\"Yes\" if dist[h - 1][w - 1] == h + w - 1 else \"No\")",
                "h, w = map(int, input().split())\ns = [input() for _ in range(h)]\nsnuke = \"snuke\"\n\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] != snuke[(i + j) % 5]:\n            break\n    else:\n        continue\n    break\nelse:\n    print(\"Yes\")\n    exit()\n\nfor i in range(h - 1, -1, -1):\n    for j in range(w - 1, -1, -1):\n        if s[i][j] != snuke[(h + w - i - j - 2) % 5]:\n            break\n    else:\n        continue\n    break\nelse:\n    print(\"Yes\")\n    exit()\n\nprint(\"No\")",
                "from collections import deque\n\nH, W = map(int, input().split())\nS = [input() for _ in range(H)]\n\nsnuke = \"snuke\"\n\nvisited = [[False] * W for _ in range(H)]\n\nq = deque([(0, 0)])\nvisited[0][0] = True\n\nwhile q:\n    y, x = q.popleft()\n\n    if y == H - 1 and x == W - 1:\n        print(\"Yes\")\n        break\n\n    for dy, dx in [(0, 1), (1, 0), (0, -1), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n\n        if 0 <= ny < H and 0 <= nx < W:\n            if not visited[ny][nx] and S[ny][nx] == snuke[(x + y + 1) % 5]:\n                visited[ny][nx] = True\n                q.append((ny, nx))\n\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\n\nN = int(input())\nA = list(map(int, input().split()))\nS = input()\n\nd = defaultdict(int)\nfor i, (a, s) in enumerate(zip(A, S)):\n    d[s] += a * (N - i - 1) * (N - i - 2)\n\nprint(d[\"M\"] + d[\"E\"] + d[\"X\"])",
                "from collections import defaultdict\n\nn = int(input())\na = list(map(int, input().split()))\ns = input()\n\nd = defaultdict(int)\nfor i in range(n):\n    d[a[i]] += 1\n\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        if s[i] != s[j]:\n            if s[i] + s[j] == \"MX\":\n                ans += d[2]\n            elif s[i] + s[j] == \"EM\":\n                ans += d[0]\n            else:\n                ans += d[1]\n\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nA = list(map(int, input().split()))\nS = input()\n\nd = defaultdict(int)\nfor i in range(N):\n    d[S[i]] += 1\n\nif d['M'] == d['E'] == d['X']:\n    print(0)\n    exit()\n\nans = 0\nfor i in range(N):\n    for j in range(i + 1, N):\n        if S[i] == S[j]:\n            continue\n        k = 3 - (S[i] + S[j])\n        if d[k] == 0:\n            continue\n        if A[i] == A[j]:\n            ans += 3 - A[i]\n        else:\n            ans += 3 - (A[i] + A[j])\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nA = list(map(int, input().split()))\nS = input()\n\nd = defaultdict(int)\nfor i in range(N):\n    d[S[i]] += 1\n\nif d['M'] == d['E'] == d['X']:\n    print(0)\nelse:\n    ans = 0\n    for i in range(N):\n        if d[S[i]] == 1:\n            for j in range(i + 1, N):\n                if S[j] != S[i]:\n                    ans += 3 - (A[i] + A[j])\n            break\n    print(ans)",
                "from collections import defaultdict\n\nn = int(input())\na = list(map(int, input().split()))\ns = input()\n\nd = defaultdict(int)\nfor i in range(n):\n    d[s[i]] += 1\n\nif d['M'] == d['X'] == d['E'] == n // 3:\n    print(0)\n    exit()\n\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        if s[i] == s[j]:\n            continue\n        for k in range(j + 1, n):\n            if s[i] == s[k] or s[j] == s[k]:\n                continue\n            if s[i] + s[j] + s[k] == 'MEX':\n                ans += (3 - (a[i] + a[j] + a[k])) % 3\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nA = list(map(int, input().split()))\nS = input()\n\nd = defaultdict(int)\nfor i in range(N):\n    d[S[i]] += 1\n\nif d['M'] == d['E'] == d['X']:\n    print(0)\nelse:\n    ans = 0\n    for i in range(N):\n        if d[S[i]] == 1:\n            for j in range(i + 1, N):\n                if d[S[j]] == 1:\n                    ans += 3 - A[i] - A[j]\n                    for k in range(j + 1, N):\n                        if d[S[k]] == 1:\n                            ans += 3 - A[i] - A[j] - A[k]\n    print(ans)",
                "from collections import defaultdict\n\nn = int(input())\na = list(map(int, input().split()))\ns = input()\n\nd = defaultdict(int)\nfor i, ai in enumerate(a):\n    d[s[i]] += 1\n\nm, e, x = d['M'], d['E'], d['X']\n\nans = 0\n\nif m > 0 and e > 0 and x > 0:\n    ans += m * e * x\n\nif m > 0 and e == 0 and x > 0:\n    ans += (m - 1) * x\n\nif m > 0 and e > 0 and x == 0:\n    ans += m * (e - 1)\n\nif m == 0 and e > 0 and x > 0:\n    ans += e * x\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\ns = input()\n\nm = e = x = 0\nfor i in range(n):\n    if s[i] == \"M\":\n        m += 1\n    elif s[i] == \"E\":\n        e += 1\n    else:\n        x += 1\n\nans = 0\nfor i in range(n):\n    if s[i] == \"M\":\n        if a[i] == 1:\n            ans += e * x\n        elif a[i] == 2:\n            ans += e * e\n    elif s[i] == \"E\":\n        if a[i] == 0:\n            ans += m * x\n        elif a[i] == 2:\n            ans += m * m\n    else:\n        if a[i] == 0:\n            ans += m * e\n        elif a[i] == 1:\n            ans += m * m\n\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nA = list(map(int, input().split()))\nS = input()\n\nd = defaultdict(list)\nfor i, (a, s) in enumerate(zip(A, S)):\n    d[s].append(a)\n\nans = 0\nfor i, a in enumerate(d['M']):\n    for j, b in enumerate(d['E']):\n        if i < j:\n            c = 2\n            if c in d['M'][i:j] or c in d['E'][i:j]:\n                c = 0\n            if c in d['X'][i:j]:\n                c = 1\n            ans += c\n\nfor i, a in enumerate(d['M']):\n    for j, b in enumerate(d['X']):\n        if i < j:\n            c = 1\n            if c in d['M'][i:j] or c in d['X'][i:j]:\n                c = 0\n            if c in d['E'][i:j]:\n                c = 2\n            ans += c\n\nfor i, a in enumerate(d['E']):\n    for j, b in enumerate(d['X']):\n        if i < j:\n            c = 0\n            if c in d['E'][i:j] or c in d['X'][i:j]:\n                c = 1\n            if c in d['M'][i:j]:\n                c = 2\n            ans += c\n\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nA = list(map(int, input().split()))\nS = input()\n\nd = defaultdict(int)\nfor i in range(N):\n    d[S[i]] += 1\n\nif d['M'] == d['E'] == d['X']:\n    print(0)\n    exit()\n\nans = 0\nfor i in range(N):\n    for j in range(i + 1, N):\n        if S[i] == S[j]:\n            continue\n        k = 3 - (S[i] + S[j])\n        if d[k] == 0:\n            continue\n        if A[i] == A[j]:\n            ans += 3 - A[i]\n        else:\n            ans += 3 - (A[i] + A[j])\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from heapq import heappush, heappop\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupon = []\nfor i in range(M):\n    coupon.append((L[i], D[i]))\ncoupon.sort()\n\npq = []\nfor p in P:\n    heappush(pq, -p)\n\nans = 0\nfor l, d in coupon:\n    while len(pq) > 0 and -pq[0] < l:\n        ans -= heappop(pq)\n    if len(pq) > 0:\n        ans += heappop(pq) - d\n\nwhile len(pq) > 0:\n    ans -= heappop(pq)\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\nLP = [list(i) for i in zip(L, D)]\nLP.sort(reverse=True)\nLP_index = 0\nans = 0\nfor p in P:\n    while LP_index < M and p >= LP[LP_index][0]:\n        ans += LP[LP_index][1]\n        LP_index += 1\n    ans += p\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupon = sorted([(L[i], D[i]) for i in range(M)], reverse=True)\n\nans = 0\nfor p in P:\n    for l, d in coupon:\n        if p >= l:\n            ans += p - d\n            coupon.remove((l, d))\n            break\n    else:\n        ans += p\n\nprint(ans)",
                "n, m = map(int, input().split())\np = list(map(int, input().split()))\nl = list(map(int, input().split()))\nd = list(map(int, input().split()))\n\ncoupon = sorted([(l[i], d[i]) for i in range(m)], reverse=True)\np.sort(reverse=True)\n\nans = 0\nfor i in range(n):\n    for j in range(m):\n        if p[i] >= coupon[j][0]:\n            ans += p[i] - coupon[j][1]\n            coupon.pop(j)\n            break\n    else:\n        ans += p[i]\n\nprint(ans)",
                "from heapq import heappop, heappush\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupons = sorted([(L[i], D[i]) for i in range(M)], reverse=True)\n\npq = []\nfor p in P:\n    while len(pq) and pq[0] < p:\n        heappop(pq)\n    if len(pq) and pq[0] <= coupons[0][0]:\n        heappush(pq, p - coupons[0][1])\n        coupons.pop(0)\n    else:\n        heappush(pq, p)\n\nprint(sum(pq))",
                "from heapq import heappop, heappush\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupons = sorted([(L[i], D[i]) for i in range(M)], reverse=True)\n\npq = []\nfor p in P:\n    while len(pq) and pq[0] < p:\n        heappop(pq)\n    if len(pq) and coupons:\n        if coupons[-1][0] <= p:\n            heappush(pq, p - coupons[-1][1])\n            coupons.pop()\n        else:\n            heappush(pq, p)\n    else:\n        heappush(pq, p)\n\nprint(sum(pq))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupon = sorted([(L[i], D[i]) for i in range(M)], reverse=True)\n\nans = 0\nfor p in P:\n    for l, d in coupon:\n        if p >= l:\n            ans += p - d\n            coupon.remove((l, d))\n            break\n    else:\n        ans += p\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupon = sorted([(L[i], D[i]) for i in range(M)], reverse=True)\nP.sort(reverse=True)\n\nans = 0\nfor p in P:\n    for l, d in coupon:\n        if p >= l:\n            ans += p - d\n            coupon.remove((l, d))\n            break\n    else:\n        ans += p\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupon = sorted([(L[i], D[i]) for i in range(M)], reverse=True)\n\nans = 0\nfor p in P:\n    for l, d in coupon:\n        if p >= l:\n            ans += p - d\n            coupon.remove((l, d))\n            break\n    else:\n        ans += p\n\nprint(ans)",
                "from heapq import heappush, heappop\n\nN, M = map(int, input().split())\nP = list(map(int, input().split()))\nL = list(map(int, input().split()))\nD = list(map(int, input().split()))\n\ncoupon = []\nfor i in range(M):\n    coupon.append((L[i], D[i]))\ncoupon.sort()\n\npq = []\nfor p in P:\n    heappush(pq, -p)\n\nans = 0\nfor l, d in coupon:\n    while pq and -pq[0] < l:\n        ans -= heappop(pq)\n    if pq:\n        ans += -heappop(pq) - d\n\nwhile pq:\n    ans -= heappop(pq)\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r",
                "a, b = map(int, input().split())\r\nif abs(a - b) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\n\nfor i in range(n):\n    a[i][0], a[i][-1] = a[i][-1], a[0][i]\n    a[0][i], a[-1][i] = a[-1][i], a[i][0]\n\nfor i in range(n):\n    print(\"\".join(map(str, a[i])))",
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\n\nfor i in range(n):\n    a[i][0], a[i][1] = a[i][1], a[i][0]\n    a[i][-1], a[i][-2] = a[i][-2], a[i][-1]\nfor i in range(1, n - 1):\n    a[0][i], a[1][i] = a[1][i], a[0][i]\n    a[n - 1][i], a[n - 2][i] = a[n - 2][i], a[n - 1][i]\n\nfor i in range(n):\n    for j in range(n):\n        print(a[i][j], end=\"\")\n    print()",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, list(input()))))\nfor i in range(n):\n    if i == 0:\n        a[i][0], a[i][1] = a[i][1], a[i][0]\n    elif i == n - 1:\n        a[i][n - 1], a[i][n - 2] = a[i][n - 2], a[i][n - 1]\n    a[i][0], a[i][n - 1] = a[i][1], a[i][n - 2]\nfor i in range(1, n - 1):\n    a[0][i], a[n - 1][i] = a[1][i], a[n - 2][i]\nfor i in a:\n    print(\"\".join(map(str, i)))",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, list(input()))))\n\nfor i in range(n):\n    for j in range(1, n):\n        a[i][j] = a[i][j - 1]\n    a[i][0] = a[i - 1][0]\n\nfor i in range(n):\n    print(\"\".join(map(str, a[i])))",
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\n\nfor i in range(n):\n    a[i][0], a[i][-1] = a[i][-1], a[i][0]\nfor i in range(1, n):\n    a[0][i], a[n - 1][i] = a[n - 1][i], a[0][i]\n\nfor i in range(n):\n    print(\"\".join(map(str, a[i])))",
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\nfor i in range(n):\n    a[i][0], a[i][-1] = a[i][-1], a[i][0]\nfor i in range(n):\n    a[0][i], a[-1][i] = a[-1][i], a[0][i]\nfor i in a:\n    print(*i, sep=\"\")",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(input()))\n\nfor i in range(n):\n    for j in range(1, n):\n        a[i][j] = a[i][j - 1]\n    a[i][0] = a[i - 1][0]\n\nfor i in range(n):\n    print(\"\".join(a[i]))",
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\n\nfor i in range(n):\n    a[i][0], a[i][-1] = a[i][-1], a[i][0]\nfor i in range(1, n):\n    a[0][i], a[n - 1][i] = a[n - 1][i], a[0][i]\n\nfor i in range(n):\n    print(\"\".join(map(str, a[i])))",
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\nfor i in range(n):\n    a[i][0], a[i][-1] = a[i][-1], a[i][0]\nfor i in range(n):\n    a[0][i], a[-1][i] = a[-1][i], a[0][i]\nfor i in a:\n    print(*i, sep=\"\")",
                "n = int(input())\na = [list(map(int, input())) for _ in range(n)]\n\nfor i in range(n):\n    a[i][0], a[i][-1] = a[i][-1], a[i][0]\nfor i in range(1, n):\n    a[0][i], a[n - 1][i] = a[n - 1][i], a[0][i]\n\nfor i in range(n):\n    print(\"\".join(map(str, a[i])))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from heapq import heappush, heappop\n\n(n, k) = map(int, input().split())\nheap = []\nans = 1\nfor a, b in (map(int, input().split()) for _ in range(n)):\n    heappush(heap, -b)\n    while -heap[0] * (ans + a) <= k:\n        ans += 1\n        heappop(heap)\nprint(ans)",
                "(n, k) = map(int, input().split())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\na.sort(key=lambda x: x[0])\r\nans = 1\r\ns = 0\r\nfor i in range(n):\r\n    s += a[i][1]\r\n    if s <= k:\r\n        print(1)\r\n        exit()\r\n    if a[i][0] > ans:\r\n        ans += 1\r\n        s -= a[i][1]\r\nprint(ans)\r",
                "(n, k) = map(int, input().split())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\na.sort(key=lambda x: x[0])\r\nans = 1\r\ns = 0\r\nfor i in range(n):\r\n    s += a[i][1]\r\n    if s <= k:\r\n        ans = max(ans, a[i][0] + 1)\r\nprint(ans)\r",
                "def main():\n    (n, k) = map(int, input().split())\n    a = []\n    b = []\n    for i in range(n):\n        (x, y) = map(int, input().split())\n        a.append(x)\n        b.append(y)\n    a.sort()\n    b.sort()\n    ans = 1\n    for i in range(n):\n        if b[i] > k:\n            ans += a[i] - 1\n    print(ans)\n\n\nmain()",
                "(n, k) = map(int, input().split())\r\na = []\r\nfor i in range(n):\r\n    (x, y) = map(int, input().split())\r\n    a.append((x, y))\r\na.sort()\r\nans = 0\r\ns = 0\r\nfor i in range(n):\r\n    s += a[i][1]\r\n    ans = max(ans, a[i][0])\r\n    if s <= k:\r\n        print(ans + 1)\r\n        exit()\r",
                "import sys\n\ninput = sys.stdin.readline\n(N, K) = map(int, input().split())\nmeds = []\nfor i in range(N):\n    (a, b) = map(int, input().split())\n    meds.append((a, b))\nmeds.sort()\nans = 0\ntotal = 0\nfor a, b in meds:\n    total += b\n    ans += a\n    if total <= K:\n        break\nprint(ans + 1)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\na = []\nfor i in range(n):\n    (x, y) = map(int, input().split())\n    a.append((x, y))\na.sort()\nans = 1\ns = 0\nfor i in range(n):\n    s += a[i][1]\n    ans = max(ans, a[i][0] + 1)\n    if s <= k:\n        print(ans)\n        exit()",
                "(n, k) = map(int, input().split())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\na.sort(key=lambda x: x[0])\r\nans = 1\r\ns = 0\r\nfor i in range(n):\r\n    s += a[i][1]\r\n    if a[i][0] > 1:\r\n        s -= (a[i][0] - 1) * a[i][1] // a[i][0]\r\n    if s <= k:\r\n        print(ans)\r\n        break\r\n    ans += 1\r\nelse:\r\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, K) = map(int, input().split())\nmeds = []\nfor i in range(N):\n    (a, b) = map(int, input().split())\n    meds.append((a, b))\nmeds.sort()\nans = 0\ntotal = 0\nfor a, b in meds:\n    total += b\n    ans += a\n    if total <= K:\n        print(ans)\n        break\nelse:\n    print(ans + 1)",
                "def main():\n    (n, k) = map(int, input().split())\n    a = []\n    b = []\n    for i in range(n):\n        (ai, bi) = map(int, input().split())\n        a.append(ai)\n        b.append(bi)\n    a.sort()\n    b.sort()\n    ans = 1\n    s = 0\n    for i in range(n):\n        s += b[i]\n        if s <= k:\n            break\n        ans = max(ans, a[i])\n    print(ans)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\nab = [list(map(int, input().split())) for _ in range(m)]\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\nfor a, b in ab:\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b - n1)\n\nd1 = [-1] * (n1 + 1)\nd1[1] = 0\nq = deque([1])\nwhile q:\n    v = q.popleft()\n    for nv in g1[v]:\n        if d1[nv] == -1:\n            d1[nv] = d1[v] + 1\n            q.append(nv)\n\nd2 = [-1] * (n2 + 1)\nd2[1] = 0\nq = deque([1])\nwhile q:\n    v = q.popleft()\n    for nv in g2[v]:\n        if d2[nv] == -1:\n            d2[nv] = d2[v] + 1\n            q.append(nv)\n\nans = 0\nfor a, b in ab:\n    if d1[a] != -1 and d2[b - n1] != -1:\n        ans = max(ans, d1[a] + d2[b - n1] + 1)\nprint(ans)",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\nab = [list(map(int, input().split())) for _ in range(m)]\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\nfor a, b in ab:\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b)\n\nd1 = [-1] * (n1 + 1)\nd2 = [-1] * (n2 + 1)\nd1[1] = 0\ndq = deque([1])\nwhile dq:\n    v = dq.popleft()\n    for nv in g1[v]:\n        if d1[nv] == -1:\n            d1[nv] = d1[v] + 1\n            dq.append(nv)\nd2[0] = 0\ndq = deque([0])\nwhile dq:\n    v = dq.popleft()\n    for nv in g2[v]:\n        if d2[nv] == -1:\n            d2[nv] = d2[v] + 1\n            dq.append(nv)\n\nans = 0\nfor a, b in ab:\n    if d1[a] != -1 and d2[b - n1] != -1:\n        ans = max(ans, d1[a] + d2[b - n1] + 1)\nprint(ans)",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\n\nab = [list(map(int, input().split())) for _ in range(m)]\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\n\nfor a, b in ab:\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b - n1)\n\ndist = [-1] * (n1 + n2 + 1)\ndist[1] = 0\nq = deque([1])\n\nwhile q:\n    v = q.popleft()\n    for nv in g1[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n    for nv in g2[v - n1]:\n        if dist[nv + n1] == -1:\n            dist[nv + n1] = dist[v] + 1\n            q.append(nv + n1)\n\nans = dist[n1 + n2]\nfor a, b in ab:\n    if 1 <= a <= n1 and n1 + 1 <= b <= n1 + n2:\n        ans = max(ans, dist[a] + dist[b] + 1)\n\nprint(ans)",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\nab = [list(map(int, input().split())) for _ in range(m)]\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\nfor a, b in ab:\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b)\n\nq = deque([1])\ndist = [0] * (n1 + n2 + 1)\nwhile q:\n    v = q.popleft()\n    for nv in g1[v]:\n        if dist[nv] == 0:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n    for nv in g2[v]:\n        if dist[nv] == 0:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nprint(dist[n1 + n2])",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\n\nfor _ in range(m):\n    a, b = map(int, input().split())\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b - n1)\n\ndist = [-1] * (n1 + n2 + 1)\ndist[1] = 0\nq = deque([1])\n\nwhile q:\n    v = q.popleft()\n    for nv in g1[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n    for nv in g2[v - n1]:\n        if dist[nv + n1] == -1:\n            dist[nv + n1] = dist[v] + 1\n            q.append(nv + n1)\n\nprint(dist[n1 + n2])",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\n\ngraph = [[] for _ in range(n1 + n2 + 1)]\n\nfor _ in range(m):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\ndist = [-1] * (n1 + n2 + 1)\ndist[1] = 0\nq = deque([1])\n\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nans = dist[n1 + n2]\nfor v in range(1, n1 + 1):\n    for nv in graph[v]:\n        if n1 + 1 <= nv <= n1 + n2:\n            ans = max(ans, dist[v] + dist[nv])\n\nprint(ans + 1)",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\n\ngraph = [[] for _ in range(n1 + n2 + 1)]\n\nfor _ in range(m):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\ndist = [-1] * (n1 + n2 + 1)\ndist[1] = 0\nq = deque([1])\n\nwhile q:\n    node = q.popleft()\n    for nei in graph[node]:\n        if dist[nei] == -1:\n            dist[nei] = dist[node] + 1\n            q.append(nei)\n\nans = dist[n1 + n2]\nfor i in range(1, n1 + 1):\n    for j in range(n1 + 1, n1 + n2 + 1):\n        if j in graph[i]:\n            ans = max(ans, dist[i] + dist[j] + 1)\n\nprint(ans)",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\nab = [list(map(int, input().split())) for _ in range(m)]\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\nfor a, b in ab:\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b - n1)\n\nd1 = [-1] * (n1 + 1)\nd2 = [-1] * (n2 + 1)\nd1[1] = 0\nq = deque([1])\nwhile q:\n    v = q.popleft()\n    for nv in g1[v]:\n        if d1[nv] == -1:\n            d1[nv] = d1[v] + 1\n            q.append(nv)\nd2[0] = 0\nq = deque([0])\nwhile q:\n    v = q.popleft()\n    for nv in g2[v]:\n        if d2[nv] == -1:\n            d2[nv] = d2[v] + 1\n            q.append(nv)\n\nans = 0\nfor i in range(1, n1 + 1):\n    for j in range(n2):\n        ans = max(ans, d1[i] + d2[j] + 1)\nprint(ans)",
                "from collections import deque\n\nn1, n2, m = map(int, input().split())\nab = [list(map(int, input().split())) for _ in range(m)]\n\ng1 = [[] for _ in range(n1 + 1)]\ng2 = [[] for _ in range(n2 + 1)]\nfor a, b in ab:\n    if a <= n1:\n        g1[a].append(b)\n    else:\n        g2[a - n1].append(b - n1)\n\ndist = [-1] * (n1 + n2 + 1)\ndist[1] = 0\nq = deque([1])\nwhile q:\n    v = q.popleft()\n    for nv in g1[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n    for nv in g2[v - n1]:\n        if dist[nv + n1] == -1:\n            dist[nv + n1] = dist[v] + 1\n            q.append(nv + n1)\n\nans = dist[n1 + n2]\nfor a, b in ab:\n    if a <= n1 and b > n1:\n        ans = max(ans, dist[a] + dist[b - n1] + 1)\nprint(ans)",
                "from collections import deque\r\n\r\nn1, n2, m = map(int, input().split())\r\nab = [list(map(int, input().split())) for _ in range(m)]\r\n\r\ng1 = [[] for _ in range(n1 + 1)]\r\ng2 = [[] for _ in range(n2 + 1)]\r\nfor a, b in ab:\r\n    if a <= n1:\r\n        g1[a].append(b)\r\n    else:\r\n        g2[a - n1].append(b - n1)\r\n\r\nd1 = [-1] * (n1 + 1)\r\nd2 = [-1] * (n2 + 1)\r\nd1[1] = 0\r\nq = deque([1])\r\nwhile q:\r\n    v = q.popleft()\r\n    for nv in g1[v]:\r\n        if d1[nv] == -1:\r\n            d1[nv] = d1[v] + 1\r\n            q.append(nv)\r\nd2[0] = 0\r\nq = deque([0])\r\nwhile q:\r\n    v = q.popleft()\r\n    for nv in g2[v]:\r\n        if d2[nv] == -1:\r\n            d2[nv] = d2[v] + 1\r\n            q.append(nv)\r\n\r\nans = 0\r\nfor i in range(1, n1 + 1):\r\n    for j in range(n2):\r\n        ans = max(ans, d1[i] + d2[j] + 1)\r\nprint(ans)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(n, m) = map(int, input().split())\np = [0] + list(map(int, input().split()))\ncovered = [False] * (n + 1)\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    q = deque([x])\n    for _ in range(y):\n        q.extend(p[i] for i in q if i <= n)\n    for i in q:\n        covered[i] = True\nprint(sum(covered))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\np = list(map(int, input().split()))\np = [0] + p\ncovered = [False] * (n + 1)\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    q = deque([x])\n    while q:\n        node = q.popleft()\n        if not covered[node]:\n            covered[node] = True\n            q.extend([i for i in range(n + 1) if p[i] == node])\n        if y == 0:\n            break\n        y -= 1\nprint(sum(covered))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\np = [0] + list(map(int, input().split()))\ncovered = [False] * (n + 1)\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    q = deque([x])\n    for _ in range(y):\n        q.extend(p[i] for i in q if i <= n)\n    for i in q:\n        covered[i] = True\nprint(sum(covered))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\np = list(map(int, input().split()))\nassert 1 <= n <= 3 * 10**5\nassert 1 <= m <= 3 * 10**5\nassert all(1 <= i <= n for i in p)\n\nparents = [[] for _ in range(n)]\nfor i, pi in enumerate(p, 2):\n    parents[pi - 1].append(i)\n\ncovered = [False] * (n + 1)\ncovered_count = 0\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    assert 1 <= x <= n\n    assert 0 <= y <= 3 * 10**5\n    q = deque([x])\n    while q:\n        node = q.popleft()\n        if not covered[node]:\n            covered[node] = True\n            covered_count += 1\n        for child in parents[node - 1]:\n            if y > 0:\n                q.append(child)\n            y -= 1\n\nprint(covered_count)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nP = list(map(int, input().split()))\n\nX = [0] * M\nY = [0] * M\n\nfor i in range(M):\n    X[i], Y[i] = list(map(int, input().split()))\n\nparent = [[] for i in range(N + 1)]\nfor i in range(1, N):\n    parent[P[i - 1]].append(i)\n\ncovered = [False] * (N + 1)\n\nfor i in range(M):\n    stack = [X[i]]\n    for j in stack:\n        if covered[j] == False:\n            covered[j] = True\n            stack.extend(parent[j])\n\nprint(covered.count(True))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\nparents = list(map(int, input().split()))\nassert 1 <= n <= 3 * 10**5\nassert 1 <= m <= 3 * 10**5\nassert all(1 <= p <= i - 1 for i, p in enumerate(parents, 2))\n\nfamily = [[] for _ in range(n)]\nfor i, p in enumerate(parents, 2):\n    family[p - 1].append(i)\n\ncovered = [False] * n\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    x -= 1\n    assert 0 <= x < n\n    assert 0 <= y <= 3 * 10**5\n    q = deque([x])\n    while q:\n        person = q.popleft()\n        if covered[person]:\n            continue\n        covered[person] = True\n        for child in family[person]:\n            q.append(child)\n            if y > 0:\n                y -= 1\n            else:\n                break\n\nprint(sum(covered))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\nparents = list(map(int, input().split()))\nassert len(parents) == n - 1\n\nfamily = [[] for _ in range(n)]\nfor i, p in enumerate(parents, 2):\n    family[p - 1].append(i)\n\ncovered = [False] * (n + 1)\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    q = deque([x])\n    while q:\n        person = q.popleft()\n        if covered[person] is False:\n            covered[person] = True\n            for child in family[person - 1]:\n                q.append(child)\n        y -= 1\n        if y == 0:\n            break\n\nprint(sum(covered))",
                "from collections import defaultdict\n\n(n, m) = map(int, input().split())\nparents = list(map(int, input().split()))\nassert len(parents) == n - 1\n\nfamily = defaultdict(list)\nfor i, p in enumerate(parents, 2):\n    family[p].append(i)\n\ncovered = set()\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    covered.add(x)\n    for _ in range(y):\n        x = family[x]\n        if x:\n            x = x[0]\n            covered.add(x)\n\nprint(len(covered))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\np = [0] + list(map(int, input().split()))\ncovered = [False] * (n + 1)\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    q = deque([x])\n    for _ in range(y):\n        q.extend(i for i in (p[j] for j in q) if i)\n    for j in q:\n        covered[j] = True\nprint(sum(covered))",
                "from collections import deque\n\n(n, m) = map(int, input().split())\np = [0] + list(map(int, input().split()))\ncovered = [False] * (n + 1)\nfor _ in range(m):\n    (x, y) = map(int, input().split())\n    q = deque([x])\n    for _ in range(y):\n        q.extend(p[i] for i in q if i > 0)\n    for i in q:\n        covered[i] = True\nprint(sum(covered))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, p, q = map(int, input().split())\r\nd = list(map(int, input().split()))\r\nprint(min(p, q + min(d)))\r",
                "n, p, q = map(int, input().split())\nd = list(map(int, input().split()))\nprint(min(p, q + min(d)))",
                "n, p, q = map(int, input().split())\nd = list(map(int, input().split()))\nprint(min(p, q + min(d)))",
                "n, p, q = map(int, input().split())\nd = list(map(int, input().split()))\nprint(min(p, q + min(d)))",
                "n, p, q = map(int, input().split())\r\nd = list(map(int, input().split()))\r\nprint(min(p, q + min(d)))\r",
                "n, p, q = map(int, input().split())\r\nd = list(map(int, input().split()))\r\nprint(min(p, q + min(d)))\r",
                "n, p, q = map(int, input().split())\nd = list(map(int, input().split()))\nprint(min(p, q + min(d)))",
                "n, p, q = map(int, input().split())\nd = list(map(int, input().split()))\nprint(min(p, q + min(d)))",
                "n, p, q = map(int, input().split())\nd = list(map(int, input().split()))\nprint(min(p, q + min(d)))",
                "n, p, q = map(int, input().split())\r\nd = list(map(int, input().split()))\r\nprint(min(p, q + min(d)))\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\np = []\nc = []\nfor i in range(n):\n    a = list(map(int, input().split()))\n    p.append(a[0])\n    c.append(a[1:])\nans = \"No\"\nfor i in range(n):\n    for j in range(i + 1, n):\n        if p[i] >= p[j] and all(x in c[j] for x in c[i]) and (p[i] > p[j] or any(x not in c[i] for x in c[j])):\n            ans = \"Yes\"\nprint(ans)",
                "n, m = map(int, input().split())\nproducts = []\nfor i in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\n\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\n\nprint(\"No\")",
                "n, m = map(int, input().split())\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[2:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if products[i][0] >= products[j][0] and products[i][1].issubset(products[j][1]):\n            if products[i][0] > products[j][0] or not products[j][1].issubset(products[i][1]):\n                print(\"Yes\")\n                exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\n\nproducts = []\nfor _ in range(n):\n    p, c = map(int, input().split()[:2])\n    f = set(map(int, input().split()[1:])[:c])\n    products.append((p, f))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        p1, f1 = products[i]\n        p2, f2 = products[j]\n        if p1 >= p2 and f1.issubset(f2) and (p1 > p2 or len(f2 - f1) > 0):\n            print(\"Yes\")\n            exit()\n\nprint(\"No\")",
                "n, m = map(int, input().split())\np = []\nc = []\nfor i in range(n):\n    t = list(map(int, input().split()))\n    p.append(t[0])\n    c.append(t[1:])\nans = \"No\"\nfor i in range(n):\n    for j in range(i + 1, n):\n        if p[i] >= p[j] and set(c[i][1:]).issubset(set(c[j][1:])) and (p[i] > p[j] or not set(c[j][1:]).issubset(set(c[i][1:]))):\n            ans = \"Yes\"\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = set()\nfor i in range(n):\n    x = input()\n    if x not in s:\n        s.add(x)\n    else:\n        continue\n    y = x[::-1]\n    if y not in s:\n        s.add(y)\nprint(len(s))",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    ss = input()\r\n    if ss not in s:\r\n        s.add(ss)\r\n        s.add(ss[::-1])\r\nprint(len(s))\r",
                "n = int(input())\ns = set()\nfor i in range(n):\n    ss = input()\n    if ss not in s:\n        s.add(ss)\n    else:\n        continue\n    if ss[::-1] not in s:\n        s.add(ss[::-1])\n    else:\n        continue\nprint(len(s))",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    t = input()\r\n    if t not in s:\r\n        s.add(t)\r\n    else:\r\n        continue\r\n    if t[::-1] not in s:\r\n        s.add(t[::-1])\r\nprint(len(s))\r",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    t = input()\r\n    if t not in s:\r\n        s.add(t)\r\n    else:\r\n        continue\r\n    if t[::-1] not in s:\r\n        s.add(t[::-1])\r\nprint(len(s))\r",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    t = input()\r\n    if t not in s:\r\n        s.add(t)\r\n    else:\r\n        continue\r\n    if t[::-1] not in s:\r\n        s.add(t[::-1])\r\nprint(len(s))\r",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    st = input()\r\n    if st not in s:\r\n        s.add(st)\r\n        s.add(st[::-1])\r\nprint(len(s))\r",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    t = input()\r\n    if t in s:\r\n        continue\r\n    if t[::-1] in s:\r\n        continue\r\n    s.add(t)\r\nprint(len(s))\r",
                "n = int(input())\ns = set()\nfor i in range(n):\n    x = input()\n    if x not in s:\n        s.add(x)\n    else:\n        continue\n    y = x[::-1]\n    if y not in s:\n        s.add(y)\nprint(len(s))",
                "n = int(input())\r\ns = set()\r\nfor i in range(n):\r\n    t = input()\r\n    if t in s:\r\n        continue\r\n    if t[::-1] in s:\r\n        continue\r\n    s.add(t)\r\nprint(len(s))\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, t, m = map(int, input().split())\npairs = []\nfor i in range(m):\n    pairs.append(tuple(map(int, input().split())))\n\ndp = [[0] * (1 << n) for i in range(t + 1)]\ndp[0][0] = 1\nfor i in range(1, t + 1):\n    for j in range((1 << n) - 1, -1, -1):\n        dp[i][j] = dp[i - 1][j] * (n - j.bit_count())\n        for pair in pairs:\n            if j & (1 << (pair[0] - 1)) and j & (1 << (pair[1] - 1)):\n                dp[i][j] -= dp[i - 1][j ^ (1 << (pair[0] - 1)) ^ (1 << (pair[1] - 1))]\nprint(dp[t][(1 << n) - 1])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = map(int, input().split())\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfor i in range(M):\n    AB[i][0] -= 1\n    AB[i][1] -= 1\n\ndp = [[0] * (1 << N) for i in range(T + 1)]\n\ndp[0][0] = 1\n\nfor i in range(M):\n    for j in range(T):\n        for k in range(1 << N):\n            if k >> AB[i][0] & 1 and k >> AB[i][1] & 1:\n                dp[j + 1][k ^ (1 << AB[i][0]) ^ (1 << AB[i][1])] += dp[j][k]\n\nans = 0\n\nfor i in range(1 << N):\n    if bin(i).count(\"1\") == N // T:\n        ans += dp[T][i]\n\nprint(ans)",
                "n, t, m = map(int, input().split())\npairs = [list(map(int, input().split())) for _ in range(m)]\n\ndp = [[0] * (1 << n) for _ in range(t + 1)]\ndp[0][0] = 1\n\nfor i in range(1, t + 1):\n    for j in range((1 << n) - 1, -1, -1):\n        dp[i][j] = dp[i - 1][j] * (n - j.bit_count())\n        for pair in pairs:\n            if j & (1 << (pair[0] - 1)) and j & (1 << (pair[1] - 1)):\n                dp[i][j] -= dp[i - 1][j ^ (1 << (pair[0] - 1)) ^ (1 << (pair[1] - 1))]\n\nprint(sum(dp[t]) // t)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = map(int, input().split())\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfor i in range(M):\n    AB[i][0] -= 1\n    AB[i][1] -= 1\n\ndp = [[[0] * (1 << N) for i in range(T + 1)] for j in range(M + 1)]\n\nfor i in range(N):\n    dp[0][1][1 << i] = 1\n\nfor i in range(M):\n    for j in range(T + 1):\n        for k in range(1 << N):\n            dp[i + 1][j][k] = dp[i][j][k]\n            if k & (1 << AB[i][0]) and k & (1 << AB[i][1]):\n                dp[i + 1][j][k] += dp[i][j][k ^ (1 << AB[i][0]) ^ (1 << AB[i][1])]\n            if j < T:\n                dp[i + 1][j + 1][k | (1 << AB[i][0])] += dp[i][j][k]\n                dp[i + 1][j + 1][k | (1 << AB[i][1])] += dp[i][j][k]\n\nans = 0\nfor i in range(1 << N):\n    if bin(i).count(\"1\") == N:\n        ans += dp[M][T][i]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = map(int, input().split())\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfor i in range(M):\n    AB[i][0] -= 1\n    AB[i][1] -= 1\n\ndp = [[0] * (1 << N) for i in range(T + 1)]\ndp[0][0] = 1\n\nfor i in range(M):\n    a, b = AB[i]\n    for j in range(T):\n        for k in range(1 << N):\n            if k & (1 << a) and k & (1 << b):\n                dp[j + 1][k ^ (1 << a) ^ (1 << b)] += dp[j][k]\n\nans = 0\nfor i in range(1 << N):\n    if bin(i).count(\"1\") == N:\n        ans += dp[T][i]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = map(int, input().split())\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfor i in range(M):\n    AB[i][0] -= 1\n    AB[i][1] -= 1\n\ndp = [[[0] * (1 << N) for i in range(T + 1)] for j in range(M + 1)]\n\ndp[0][1][0] = 1\n\nfor i in range(M):\n    for j in range(1, T + 1):\n        for k in range((1 << N) - 1, -1, -1):\n            dp[i + 1][j][k] = dp[i][j][k]\n            dp[i + 1][j][k | (1 << AB[i][0]) | (1 << AB[i][1])] = dp[i][j][k]\n\n        for k in range((1 << N) - 1, -1, -1):\n            if k >> AB[i][0] & 1 and k >> AB[i][1] & 1:\n                dp[i + 1][j][k ^ (1 << AB[i][0])] += dp[i][j][k]\n                dp[i + 1][j][k ^ (1 << AB[i][1])] += dp[i][j][k]\n\nans = 0\n\nfor i in range((1 << N) - 1, -1, -1):\n    ans += dp[M][T][i]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\ndp = [[0] * (1 << N) for i in range(T + 1)]\n\ndp[0][0] = 1\n\nfor a, b in AB:\n    for i in range(T + 1):\n        for j in range(1 << N):\n            dp[i][j | (1 << a - 1)] += dp[i][j]\n            dp[i][j | (1 << b - 1)] += dp[i][j]\n\nfor i in range(T):\n    for j in range(1 << N):\n        dp[i + 1][j] += dp[i][j]\n\nans = 0\n\nfor i in range(1 << N):\n    if bin(i).count(\"1\") == N and i.count(1) >= T:\n        ans += dp[T][i]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = map(int, input().split())\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfor i in range(M):\n    AB[i][0] -= 1\n    AB[i][1] -= 1\n\ndp = [[[0] * (1 << N) for i in range(T + 1)] for j in range(M + 1)]\n\nfor i in range(N):\n    dp[0][1][1 << i] = 1\n\nfor i in range(M):\n    for j in range(T + 1):\n        for k in range(1 << N):\n            dp[i + 1][j][k] = dp[i][j][k]\n            if k & (1 << AB[i][0]) and k & (1 << AB[i][1]):\n                dp[i + 1][j][k] += dp[i][j][k ^ (1 << AB[i][0]) ^ (1 << AB[i][1])]\n            if j < T:\n                dp[i + 1][j + 1][k | (1 << AB[i][0])] += dp[i][j][k]\n                dp[i + 1][j + 1][k | (1 << AB[i][1])] += dp[i][j][k]\n\nans = 0\nfor i in range(1 << N):\n    if bin(i).count(\"1\") == N:\n        ans += dp[M][T][i]\n\nprint(ans)",
                "from collections import defaultdict\n\nn, t, m = map(int, input().split())\npairs = defaultdict(set)\nfor _ in range(m):\n    a, b = map(int, input().split())\n    pairs[a].add(b)\n    pairs[b].add(a)\n\ndp = [[0] * (1 << n) for _ in range(t + 1)]\ndp[0][0] = 1\nfor i in range(n):\n    if not pairs[i + 1]:\n        for j in range(t):\n            dp[j + 1][1 << i] = dp[j][1 << i] * (t - j)\n\nfor i in range(1, 1 << n):\n    for j in range(1, t + 1):\n        if dp[j - 1][i] == 0:\n            continue\n        for k in range(n):\n            if i >> k & 1:\n                dp[j][i | 1 << k] += dp[j - 1][i] * (t - j + 1)\n                for l in pairs[k + 1]:\n                    if i >> l & 1:\n                        dp[j][i | 1 << k] = 0\n                        break\n\nprint(dp[t][(1 << n) - 1])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T, M = map(int, input().split())\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfor i in range(M):\n    AB[i][0] -= 1\n    AB[i][1] -= 1\n\ndp = [[[0] * (1 << N) for i in range(T + 1)] for j in range(M + 1)]\n\ndp[0][1][0] = 1\n\nfor i in range(M):\n    for j in range(1, T + 1):\n        for k in range(1 << N):\n            dp[i + 1][j][k] = dp[i][j][k]\n            if k & (1 << AB[i][0]) and k & (1 << AB[i][1]):\n                dp[i + 1][j][k] += dp[i][j][k]\n            else:\n                dp[i + 1][j - 1][k | (1 << AB[i][0]) | (1 << AB[i][1])] += dp[i][j][k]\n\nans = 0\n\nfor i in range(1 << N):\n    if bin(i).count(\"1\") == N:\n        ans += dp[M][T][i]\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\n\nans = 0\n\nfor i in range(n):\n    if s[i] == '0':\n        ans += i + 1\n\nfor i in range(n - 1, -1, -1):\n    if s[i] == '1':\n        ans += n - i\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\nfor i in range(n):\n    if s[i] == \"0\":\n        ans += i + 1\n\nfor i in range(n - 1, -1, -1):\n    if s[i] == \"1\":\n        ans += n - i\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\n\nfor i in range(n):\n    if s[i] == \"0\":\n        ans += i + 1\n\nfor i in range(n - 2, -1, -1):\n    if s[i] == \"1\":\n        ans += n - i\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\ncnt = 0\nfor i in range(n):\n    if s[i] == '1':\n        cnt += 1\n    else:\n        ans += cnt\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\ncnt = 0\nfor i in range(n):\n    if s[i] == \"1\":\n        cnt += 1\n    else:\n        ans += cnt\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\n\nfor i in range(n):\n    if s[i] == \"0\":\n        ans += i + 1\n\nfor i in range(n - 2, -1, -1):\n    if s[i] == \"1\":\n        ans += n - i\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\n\nfor i in range(n):\n    if s[i] == \"0\":\n        ans += i + 1\n    else:\n        ans += n - i\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\n\nfor i in range(n):\n    if s[i] == '1':\n        ans += i + 1\n\nfor i in range(n - 2, -1, -1):\n    if s[i] == '1':\n        ans += n - i\n\nprint(ans)",
                "n = int(input())\ns = input()\n\nans = 0\ncnt = 0\nfor i in range(n):\n    if s[i] == \"0\":\n        ans += cnt\n        cnt = 0\n    else:\n        cnt += 1\nprint(ans + n)",
                "n = int(input())\ns = input()\n\nans = 0\ncnt = 0\nfor i in range(n):\n    if s[i] == \"0\":\n        ans += cnt\n        cnt += 1\n    else:\n        cnt = 0\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    mod = 998244353\n    dp = [[0] * 11 for _ in range(n + 1)]\n    dp[0][0] = 1\n    for i in range(n):\n        for j in range(11):\n            if a[i] >= j:\n                dp[i + 1][j] += dp[i][j]\n                dp[i + 1][j] %= mod\n                dp[i + 1][j + 1] += dp[i][j]\n                dp[i + 1][j + 1] %= mod\n    ans = 0\n    for i in range(1, n + 1):\n        for j in range(n - i + 1):\n            ans += dp[i][10 - i] * dp[n - j - i][j]\n            ans %= mod\n    print(ans)\n\n\nmain()",
                "mod = 998244353\nn = int(input())\na = list(map(int, input().split()))\ndp = [[0] * 11 for _ in range(n + 1)]\ndp[0][0] = 1\nfor i in range(n):\n    for j in range(11):\n        if a[i] >= j:\n            dp[i + 1][j] += dp[i][j]\n            dp[i + 1][j] %= mod\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\nans = 0\nfor i in range(n + 1):\n    ans += dp[n][10] * (-1) ** i * dp[n][i]\n    ans %= mod\nprint(ans * pow(dp[n][0], mod - 2, mod) % mod)",
                "def main():\n    mod = 998244353\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp = [[0] * 11 for _ in range(n + 1)]\n    dp[0][0] = 1\n    for i in range(n):\n        for j in range(11):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n            if j + a[i] <= 10:\n                dp[i + 1][j + a[i]] = (dp[i + 1][j + a[i]] + dp[i][j]) % mod\n    ans = 0\n    for i in range(n + 1):\n        if dp[i][10] > 0:\n            ans = (ans + dp[i][0] * pow(dp[i][10], mod - 2, mod) % mod) % mod\n    print(ans)\n\n\nmain()",
                "def modinv(x, mod):\r\n    return pow(x, mod - 2, mod)\r\n\r\ndef comb(n, r, mod):\r\n    if r < 0 or r > n:\r\n        return 0\r\n    r = min(r, n - r)\r\n    return g1[n] * g2[r] * g2[n - r] % mod\r\n\r\ndef main():\r\n    n = int(input())\r\n    a = list(map(int, input().split()))\r\n    a.sort()\r\n    mod = 998244353\r\n    g1 = [1] * (n + 1)\r\n    g2 = [1] * (n + 1)\r\n    inv = [1] * (n + 1)\r\n    for i in range(1, n + 1):\r\n        g1[i] = g1[i - 1] * i % mod\r\n        inv[i] = modinv(i, mod)\r\n        g2[i] = g2[i - 1] * inv[i] % mod\r\n    dp = [[0] * 11 for _ in range(n + 1)]\r\n    dp[0][0] = 1\r\n    for i in range(n):\r\n        for j in range(10):\r\n            dp[i + 1][j + 1] += dp[i][j] * (a[i] - j)\r\n            dp[i + 1][j + 1] %= mod\r\n            dp[i + 1][j] += dp[i][j] * j\r\n            dp[i + 1][j] %= mod\r\n    ans = 0\r\n    for i in range(1, n + 1):\r\n        ans += comb(n, i, mod) * dp[n][10]\r\n        ans %= mod\r\n    print(ans * modinv(g1[n], mod) % mod)\r\n\r\nmain()\r",
                "def main():\n    mod = 998244353\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp = [[0] * 11 for _ in range(n + 1)]\n    dp[0][0] = 1\n    for i in range(n):\n        for j in range(11):\n            if j + 1 <= a[i]:\n                dp[i + 1][j + 1] += dp[i][j]\n            if j >= 1:\n                dp[i + 1][j - 1] += dp[i][j]\n            dp[i + 1][j] += dp[i][j]\n        for j in range(11):\n            dp[i + 1][j] %= mod\n    print((mod + dp[n][10] - dp[n][0]) % mod)\n\n\nmain()",
                "def main():\n    mod = 998244353\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp = [[0] * (10 * n + 1) for _ in range(n + 1)]\n    dp[0][0] = 1\n    for i in range(n):\n        for j in range(10 * n + 1):\n            if dp[i][j] == 0:\n                continue\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * (a[i] - j // n)) % mod\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\n    print(dp[n][10])\n\n\nmain()",
                "def modinv(n, p):\r\n    return pow(n, p - 2, p)\r\n\r\n\r\ndef comb(n, r, p):\r\n    num = den = 1\r\n    for i in range(r):\r\n        num = num * (n - i) % p\r\n        den = den * (i + 1) % p\r\n    return num * modinv(den, p) % p\r\n\r\n\r\ndef solve(n, a, p):\r\n    dp = [[0] * 11 for _ in range(n + 1)]\r\n    dp[0][0] = 1\r\n    for i in range(n):\r\n        for j in range(11):\r\n            if a[i] >= j:\r\n                dp[i + 1][j] += dp[i][j]\r\n                dp[i + 1][j] %= p\r\n            if a[i] - 10 + j >= 0:\r\n                dp[i + 1][j + a[i] - 10] += dp[i][j]\r\n                dp[i + 1][j + a[i] - 10] %= p\r\n    return dp[n][10]\r\n\r\n\r\ndef main():\r\n    p = 998244353\r\n    n = int(input())\r\n    a = list(map(int, input().split()))\r\n    print(solve(n, a, p))\r\n\r\n\r\nmain()\r",
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    mod = 998244353\n    dp = [[0] * (10**6 + 1) for _ in range(n + 1)]\n    dp[0][0] = 1\n    for i in range(n):\n        for j in range(a[i], 10**6 + 1):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j - a[i]]) % mod\n    ans = 0\n    for mask in range(1, 1 << n):\n        s = sum(a[i] for i in range(n) if mask >> i & 1)\n        if s == 10:\n            ans = (ans + dp[n][0] * pow(dp[n][s], mod - 2, mod) % mod) % mod\n    print(ans)\n\n\nmain()",
                "def modinv(x, mod):\r\n    return pow(x, mod - 2, mod)\r\n\r\nmod = 998244353\r\nn = int(input())\r\na = list(map(int, input().split()))\r\ndp = [[0] * 11 for _ in range(n + 1)]\r\ndp[0][0] = 1\r\nfor i in range(n):\r\n    for j in range(11):\r\n        if a[i] >= j:\r\n            dp[i + 1][j] += dp[i][j]\r\n            dp[i + 1][j] %= mod\r\n            dp[i + 1][j + 1] += dp[i][j]\r\n            dp[i + 1][j + 1] %= mod\r\nans = 0\r\nfor i in range(n + 1):\r\n    ans += dp[n - i][10] * modinv(pow(2, i, mod), mod)\r\n    ans %= mod\r\nprint(ans)\r",
                "def main():\n    mod = 998244353\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp = [[0] * 11 for _ in range(n + 1)]\n    dp[0][0] = 1\n    for i in range(n):\n        for j in range(10):\n            dp[i + 1][j + 1] += dp[i][j] * (a[i] - j)\n            dp[i + 1][j + 1] %= mod\n            dp[i + 1][j] += dp[i][j] * (j + 1)\n            dp[i + 1][j] %= mod\n    ans = 0\n    for i in range(n + 1):\n        ans += dp[n][10 - i] * (-1) ** i * pow(i, mod - 2, mod)\n        ans %= mod\n    print(ans)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nflag = False\nfor i in s:\n    if i in abc:\n        abc.remove(i)\n        count += 1\n        if len(abc) == 0:\n            flag = True\n            break\n\nif flag:\n    print(count)\nelse:\n    print(-1)",
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nfor i in s:\n    if i in abc:\n        abc.remove(i)\n        count += 1\n        if len(abc) == 0:\n            break\nprint(count)",
                "n = int(input())\ns = input()\nabc = [0, 0, 0]\nfor i in range(n):\n    abc[ord(s[i]) - ord(\"A\")] += 1\n    if abc[0] and abc[1] and abc[2]:\n        print(i + 1)\n        break",
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nfor i in s:\n    count += 1\n    if abc.issubset(set(s[:count])):\n        break\nprint(count)",
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nfor i in s:\n    count += 1\n    if abc.issubset(set(s[:count])):\n        break\nprint(count)",
                "n = int(input())\ns = input()\na, b, c = 0, 0, 0\nfor i in range(n):\n    if s[i] == \"A\":\n        a += 1\n    if s[i] == \"B\":\n        b += 1\n    if s[i] == \"C\":\n        c += 1\n    if a and b and c:\n        print(i + 1)\n        break",
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nfor i in s:\n    count += 1\n    if abc.issubset(set(s[:count])):\n        break\nprint(count)",
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nfor i in s:\n    count += 1\n    if abc.issubset(set(s[:count])):\n        break\nprint(count)",
                "n = int(input())\ns = input()\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nfor i in s:\n    if i in abc:\n        abc.remove(i)\n        count += 1\n        if len(abc) == 0:\n            break\nprint(count)",
                "n = int(input())\ns = input()\n\nabc = {\"A\", \"B\", \"C\"}\ncount = 0\nflag = False\nfor i in s:\n    count += 1\n    if abc.issubset(s[:count]):\n        flag = True\n        break\n\nif flag:\n    print(count)\nelse:\n    print(-1)"
            ],
            "pass1_list": [
                false,
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\n\r\nmax_count = 0\r\ncount = 0\r\nfor i in range(d):\r\n    for j in range(n):\r\n        if s[j][i] == \"o\":\r\n            count += 1\r\n    if count == n:\r\n        max_count += 1\r\n    else:\r\n        count = 0\r\nprint(max_count)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = 0\r\nfor i in range(d):\r\n    flag = 1\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = 0\r\n    if flag:\r\n        ans += 1\r\n        for j in range(i + 1, d):\r\n            flag = 1\r\n            for k in range(n):\r\n                if s[k][j] == \"x\":\r\n                    flag = 0\r\n            if flag:\r\n                ans += 1\r\n            else:\r\n                break\r\nprint(ans)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = 0\r\nfor i in range(d):\r\n    flag = True\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = False\r\n            break\r\n    if flag:\r\n        ans += 1\r\n        for j in range(1, n):\r\n            if s[j][i] == \"x\" and s[j - 1][i] == \"o\":\r\n                flag = False\r\n                break\r\n    if flag:\r\n        k = i\r\n        while k < d and flag:\r\n            for j in range(n):\r\n                if s[j][k] == \"x\":\r\n                    flag = False\r\n                    break\r\n            k += 1\r\n        ans = max(ans, k - i)\r\n        i = k - 1\r\nprint(ans)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\n\r\nmax_len = 0\r\nfor i in range(d):\r\n    if all(\"o\" == s[j][i] for j in range(n)):\r\n        for j in range(i, d):\r\n            if all(\"o\" == s[k][j] for k in range(n)):\r\n                max_len = max(max_len, j - i + 1)\r\n            else:\r\n                break\r\nprint(max_len)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\n\r\nmax_len = 0\r\nfor i in range(d):\r\n    flag = 1\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = 0\r\n            break\r\n    if flag:\r\n        for k in range(i, d):\r\n            flag = 1\r\n            for j in range(n):\r\n                if s[j][k] == \"x\":\r\n                    flag = 0\r\n                    break\r\n            if flag:\r\n                max_len = max(max_len, k - i + 1)\r\n            else:\r\n                break\r\nprint(max_len)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\n\r\nmax_len = 0\r\nfor i in range(d):\r\n    flag = True\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = False\r\n            break\r\n    if flag:\r\n        max_len = 1\r\n        for k in range(i + 1, d):\r\n            flag = True\r\n            for l in range(n):\r\n                if s[l][k] == \"x\":\r\n                    flag = False\r\n                    break\r\n            if flag:\r\n                max_len += 1\r\n            else:\r\n                break\r\nprint(max_len)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\n\r\nmax_len = 0\r\nfor i in range(d):\r\n    flag = True\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = False\r\n            break\r\n    if flag:\r\n        max_len = max(max_len, 1)\r\n        for k in range(i + 1, d):\r\n            flag = True\r\n            for j in range(n):\r\n                if s[j][k] == \"x\":\r\n                    flag = False\r\n                    break\r\n            if flag:\r\n                max_len += 1\r\n            else:\r\n                break\r\nprint(max_len)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = 0\r\nfor i in range(d):\r\n    flag = 1\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = 0\r\n    if flag:\r\n        ans += 1\r\n        k = i\r\n        while k < d and flag:\r\n            flag = 1\r\n            for j in range(n):\r\n                if s[j][k] == \"x\":\r\n                    flag = 0\r\n            if flag:\r\n                ans += 1\r\n                k += 1\r\n            else:\r\n                break\r\nprint(ans)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\nans = 0\r\nfor i in range(d):\r\n    flag = True\r\n    for j in range(n):\r\n        if s[j][i] == \"x\":\r\n            flag = False\r\n            break\r\n    if flag:\r\n        ans += 1\r\n        k = i\r\n        while k < d and flag:\r\n            for j in range(n):\r\n                if s[j][k] == \"x\":\r\n                    flag = False\r\n                    break\r\n            if flag:\r\n                ans += 1\r\n            k += 1\r\nprint(ans)\r",
                "n, d = map(int, input().split())\r\ns = []\r\nfor i in range(n):\r\n    s.append(input())\r\n\r\nmax_count = 0\r\ncount = 0\r\nfor i in range(d):\r\n    for j in range(n):\r\n        if s[j][i] == \"o\":\r\n            count += 1\r\n    if count == n:\r\n        max_count += 1\r\n    else:\r\n        count = 0\r\nprint(max_count)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                true,
                true,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvisited = [0] * (n + 1)\ncycle = []\n\ndef dfs(node):\n    if visited[node] == 1:\n        cycle.append(node)\n        return True\n    visited[node] = 1\n    for next in graph[node]:\n        if dfs(next):\n            cycle.append(node)\n            return True\n    return False\n\nfor i in range(n):\n    if visited[i] == 0:\n        dfs(i)\n        break\n\nprint(len(cycle))\nprint(*cycle)",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvisited = [0] * (n + 1)\n\nfor i in range(1, n + 1):\n    if visited[i]:\n        continue\n    stack = [i]\n    visited[i] = 1\n    while stack:\n        node = stack[-1]\n        if not graph[node]:\n            break\n        next_node = graph[node][-1]\n        if visited[next_node]:\n            cycle = stack[visited[next_node] - 1 :]\n            cycle.append(next_node)\n            print(len(cycle))\n            print(\" \".join(map(str, cycle)))\n            exit()\n        stack.append(next_node)\n        visited[next_node] = len(stack)\n        graph[node].pop()",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvisited = [False] * (n + 1)\n\ncycle = []\nfor i in range(1, n + 1):\n    if visited[i]:\n        continue\n    stack = [i]\n    while stack:\n        node = stack[-1]\n        if visited[node]:\n            stack.pop()\n            continue\n        visited[node] = True\n        stack.append(graph[node][0])\n    if len(stack) > 1:\n        cycle = stack\n        break\n\nprint(len(cycle))\nprint(*cycle)",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvisited = [0] * (n + 1)\n\nfor i in range(1, n + 1):\n    if visited[i]:\n        continue\n    stack = [i]\n    visited[i] = 1\n    while stack:\n        node = stack[-1]\n        if not graph[node]:\n            cycle = stack.copy()\n            cycle.pop()\n            print(len(cycle))\n            print(*cycle)\n            exit()\n        next_node = graph[node].pop()\n        if visited[next_node]:\n            continue\n        visited[next_node] = 1\n        stack.append(next_node)",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvisited = [False] * (n + 1)\ncycle = []\n\nfor i in range(1, n + 1):\n    if not visited[i]:\n        node = i\n        while not visited[node]:\n            visited[node] = True\n            node = graph[node][0]\n        cycle = [node]\n        node = graph[node][0]\n        while node != cycle[0]:\n            visited[node] = True\n            cycle.append(node)\n            node = graph[node][0]\n        break\n\nprint(len(cycle))\nprint(*cycle)",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvis = [0] * (n + 1)\n\ndef dfs(node):\n    vis[node] = 1\n    for nei in graph[node]:\n        if vis[nei] == 1:\n            print(len(path) + 1)\n            print(\" \".join(map(str, [path[-1], nei] + path)))\n            exit()\n        elif vis[nei] == 0:\n            path.append(nei)\n            dfs(nei)\n            path.pop()\n\nfor i in range(1, n + 1):\n    if vis[i] == 0:\n        path = [i]\n        dfs(i)",
                "n = int(input())\na = [int(i) - 1 for i in input().split()]\n\ngraph = [[] for _ in range(n)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvis = [0] * n\ncycle = []\n\nfor i in range(n):\n    if vis[i] == 0:\n        vis[i] = 1\n        cycle.append(i)\n        while graph[cycle[-1]][0] != cycle[-1]:\n            vis[graph[cycle[-1]][0]] = 1\n            cycle.append(graph[cycle[-1]][0])\n\nprint(len(cycle))\nprint(*cycle)",
                "n = int(input())\na = list(map(int, input().split()))\n\ng = [[] for _ in range(n + 1)]\nfor i in range(n):\n    g[i].append(a[i])\n\nvis = [0] * (n + 1)\n\ndef dfs(x):\n    vis[x] = 1\n    for y in g[x]:\n        if vis[y] == 1:\n            print(len(path) + 1)\n            print(\" \".join(map(str, [path[-1], y] + path)))\n            exit()\n        elif vis[y] == 0:\n            path.append(y)\n            dfs(y)\n            path.pop()\n    vis[x] = 2\n\npath = [a[0]]\ndfs(a[0])",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\ncycle = []\nv = 1\nwhile True:\n    cycle.append(v)\n    v = graph[v - 1][0]\n    if v in cycle[:-1]:\n        break\n\nprint(len(cycle))\nprint(\" \".join(map(str, cycle)))",
                "n = int(input())\na = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\nfor i in range(n):\n    graph[i].append(a[i])\n\nvisited = [False] * (n + 1)\ncycle = []\n\ndef dfs(node):\n    visited[node] = True\n    for next_node in graph[node]:\n        if not visited[next_node]:\n            cycle.append(next_node)\n            dfs(next_node)\n        elif next_node not in cycle:\n            cycle.append(next_node)\n            return\n\nfor i in range(n):\n    if not visited[i]:\n        dfs(i)\n        break\n\nprint(len(cycle))\nprint(*cycle)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\nfrom collections import deque\n\ninput = sys.stdin.readline\n\nH, W = list(map(int, input().split()))\n\ngrid = []\nfor _ in range(H):\n    grid.append(input().rstrip())\n\nice = 0\n\nvisited = [[False] * W for _ in range(H)]\n\ndx = [0, 0, -1, 1]\ndy = [-1, 1, 0, 0]\n\nq = deque([(1, 1)])\nvisited[1][1] = True\n\nwhile q:\n    x, y = q.popleft()\n    for i in range(4):\n        nx = x + dx[i]\n        ny = y + dy[i]\n        if 0 <= nx < H and 0 <= ny < W:\n            if not visited[nx][ny] and grid[nx][ny] == \".\":\n                visited[nx][ny] = True\n                q.append((nx, ny))\n                ice += 1\n\nprint(ice)",
                "n, m = map(int, input().split())\r\n\r\nice = []\r\nfor i in range(n):\r\n    s = input()\r\n    ice.append(list(s))\r\n\r\nvisited = [[False] * m for i in range(n)]\r\n\r\ndef dfs(x, y):\r\n    if x < 0 or x >= n or y < 0 or y >= m or ice[x][y] == '#' or visited[x][y]:\r\n        return\r\n    visited[x][y] = True\r\n    for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\r\n        dfs(x + dx, y + dy)\r\n\r\nans = 0\r\ndfs(1, 1)\r\nfor i in range(n):\r\n    for j in range(m):\r\n        if visited[i][j]:\r\n            ans += 1\r\n\r\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = list(map(int, input().split()))\n\nice = []\nfor _ in range(H):\n    ice.append(input().rstrip())\n\nvisited = [[False] * W for _ in range(H)]\n\ndx = [0, 0, -1, 1]\ndy = [-1, 1, 0, 0]\n\ndef dfs(x, y):\n    visited[x][y] = True\n    for i in range(4):\n        nx = x + dx[i]\n        ny = y + dy[i]\n        while 0 <= nx < H and 0 <= ny < W and ice[nx][ny] == \".\":\n            nx += dx[i]\n            ny += dy[i]\n        if 0 <= nx < H and 0 <= ny < W and ice[nx][ny] == \"#\":\n            nx -= dx[i]\n            ny -= dy[i]\n            dfs(nx, ny)\n\ndfs(1, 1)\n\nprint((visited[1][1] + sum(sum(v) for v in visited[2:-1]) - 1) // 2)",
                "n, m = map(int, input().split())\ngrid = []\nfor i in range(n):\n    grid.append(list(input()))\n\nvisited = [[False] * m for i in range(n)]\nq = [(1, 1)]\nvisited[1][1] = True\nice = 0\n\nwhile q:\n    x, y = q.pop(0)\n    ice += 1\n    for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        nx, ny = x + dx, y + dy\n        while 0 <= nx < n and 0 <= ny < m and grid[nx][ny] == \".\":\n            if not visited[nx][ny]:\n                visited[nx][ny] = True\n                q.append((nx, ny))\n            nx, ny = nx + dx, ny + dy\n\nprint(ice - 1)",
                "n, m = map(int, input().split())\ns = []\nfor i in range(n):\n    s.append(input())\n\nice = 0\nvisited = [[False] * m for i in range(n)]\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\ndef dfs(x, y):\n    global ice\n    ice += 1\n    visited[x][y] = True\n    for i in range(4):\n        nx = x + dx[i]\n        ny = y + dy[i]\n        while not visited[nx][ny] and s[nx][ny] == \".\":\n            nx += dx[i]\n            ny += dy[i]\n        if not visited[nx][ny] and s[nx][ny] == \".\":\n            dfs(nx, ny)\n\ndfs(1, 1)\nprint(ice - 1)",
                "import sys\nfrom collections import deque\n\ninput = sys.stdin.readline\n\ndx = [1, 0, -1, 0]\ndy = [0, 1, 0, -1]\n\nn, m = map(int, input().split())\nice = []\nfor _ in range(n):\n    ice.append(list(input().rstrip()))\n\nice[0][0] = ice[n - 1][0] = ice[0][m - 1] = ice[n - 1][m - 1] = \"#\"\n\nvisited = [[False] * m for _ in range(n)]\nq = deque([(1, 1)])\nvisited[1][1] = True\n\nwhile q:\n    x, y = q.popleft()\n    for i in range(4):\n        nx, ny = x + dx[i], y + dy[i]\n        if 0 <= nx < n and 0 <= ny < m and not visited[nx][ny] and ice[nx][ny] == \".\":\n            visited[nx][ny] = True\n            q.append((nx, ny))\n\nans = 0\nfor i in range(n):\n    for j in range(m):\n        if visited[i][j] and ice[i][j] == \".\":\n            ans += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\r\ngrid = []\r\nfor i in range(n):\r\n    grid.append(input())\r\n\r\nvisited = [[False] * m for _ in range(n)]\r\nice = 0\r\n\r\ndef dfs(x, y):\r\n    global ice\r\n    if x < 0 or x >= n or y < 0 or y >= m or grid[x][y] == '#' or visited[x][y]:\r\n        return\r\n    visited[x][y] = True\r\n    ice += 1\r\n    dfs(x + 1, y)\r\n    dfs(x - 1, y)\r\n    dfs(x, y + 1)\r\n    dfs(x, y - 1)\r\n\r\ndfs(1, 1)\r\nprint(ice - 1)\r",
                "n, m = map(int, input().split())\r\ngrid = []\r\nfor i in range(n):\r\n    grid.append(input())\r\n\r\nvisited = [[False] * m for i in range(n)]\r\nice = 0\r\nq = [(1, 1)]\r\nvisited[1][1] = True\r\nwhile q:\r\n    x, y = q.pop(0)\r\n    ice += 1\r\n    for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\r\n        nx, ny = x + dx, y + dy\r\n        while 0 <= nx < n and 0 <= ny < m and grid[nx][ny] == \".\":\r\n            if not visited[nx][ny]:\r\n                visited[nx][ny] = True\r\n                q.append((nx, ny))\r\n            nx, ny = nx + dx, ny + dy\r\n\r\nprint(ice - 1)\r",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = list(map(int, input().split()))\n\nINF = 10**18\n\nice = [[INF] * W for _ in range(H)]\n\nfor i in range(H):\n    S = input().rstrip()\n    for j in range(W):\n        if S[j] == \".\":\n            ice[i][j] = 0\n\nice[1] = [1] * W\nice[-2] = [1] * W\nfor i in range(H):\n    ice[i][0] = 1\n    ice[i][-1] = 1\n\nice[1][1] = 0\nice[2][2] = 0\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\nfor i in range(H):\n    for j in range(W):\n        if ice[i][j] == INF:\n            continue\n        for k in range(4):\n            x = i + dx[k]\n            y = j + dy[k]\n            while 0 <= x < H and 0 <= y < W and ice[x][y] != 1:\n                ice[x][y] = min(ice[x][y], ice[i][j] + 1)\n                x += dx[k]\n                y += dy[k]\n\nans = 0\nfor i in range(H):\n    for j in range(W):\n        if ice[i][j] <= 2:\n            ans += 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\n\nINF = 10**18\n\nice = [[INF] * W for _ in range(H)]\n\nfor i in range(H):\n    S = input()\n    for j in range(W):\n        if S[j] == \".\":\n            ice[i][j] = 0\n\nice[0] = ice[-1] = [1] * W\nice[1][0] = ice[1][-1] = ice[2][0] = ice[2][-1] = 1\n\nfor i in range(H):\n    for j in range(W):\n        if ice[i][j] == 0:\n            ice[i][j] = min(ice[i - 1][j], ice[i + 1][j], ice[i][j - 1], ice[i][j + 1]) + 1\n\nprint(sum(sum(row) for row in ice))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    h, w, n = map(int, input().split())\n    holes = set()\n    for _ in range(n):\n        a, b = map(int, input().split())\n        holes.add((a, b))\n    grid = [[0] * (w + 1) for _ in range(h + 1)]\n    for a, b in holes:\n        grid[a][b] = 1\n    ans = 0\n    for i in range(1, h + 1):\n        for j in range(1, w + 1):\n            if grid[i][j] == 0:\n                k = min(h - i + 1, w - j + 1)\n                ans += k * k\n    print(ans)\n\n\nmain()",
                "def main():\n    h, w, n = map(int, input().split())\n    holes = set()\n    for _ in range(n):\n        a, b = map(int, input().split())\n        holes.add((a, b))\n    grid = [[0] * (w + 1) for _ in range(h + 1)]\n    for i in range(1, h + 1):\n        for j in range(1, w + 1):\n            if (i, j) not in holes:\n                grid[i][j] = min(grid[i - 1][j], grid[i][j - 1], grid[i - 1][j - 1]) + 1\n    ans = 0\n    for i in range(h + 1):\n        for j in range(w + 1):\n            ans += grid[i][j] ** 2\n    print(ans)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W, N = map(int, input().split())\n\nhole = [False] * (H * W + 1)\n\nfor i in range(N):\n    a, b = map(int, input().split())\n    hole[a * W + b] = True\n\ndp = [[0] * (W + 1) for i in range(H + 1)]\n\nfor i in range(1, H + 1):\n    for j in range(1, W + 1):\n        if not hole[i * W + j]:\n            dp[i][j] = dp[i - 1][j] + dp[i][j - 1] - dp[i - 1][j - 1] + 1\n\nprint(sum(map(sum, dp)) - N)",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W, N = map(int, input().split())\n\nhole = [False] * (H * W + 1)\n\nfor i in range(N):\n    a, b = map(int, input().split())\n    hole[a * W + b] = True\n\ndp = [0] * (H * W + 1)\n\nfor i in range(1, H * W + 1):\n    if not hole[i]:\n        dp[i] = dp[i - 1] + 1\n    else:\n        dp[i] = dp[i - 1]\n\nfor i in range(H * W, 0, -1):\n    if not hole[i]:\n        dp[i] += dp[i + 1]\n\nans = 0\n\nfor i in range(1, H * W + 1):\n    if not hole[i]:\n        for j in range(1, min(H, i) + 1):\n            ans += dp[i + j - 1] * dp[i - j + 1]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(H, W, N) = map(int, input().split())\nholes = [tuple(map(int, input().split())) for _ in range(N)]\ngrid = [[0] * (W + 1) for _ in range(H + 1)]\nfor a, b in holes:\n    grid[a][b] = 1\nans = 0\nfor i in range(H, 0, -1):\n    for j in range(W, 0, -1):\n        if grid[i][j] == 0:\n            ans += 1\n            for k in range(1, min(H - i + 1, W - j + 1)):\n                ans += grid[i + k - 1][j + k - 1] == 0\nprint(ans)",
                "def main():\n    h, w, n = map(int, input().split())\n    holes = set()\n    for _ in range(n):\n        a, b = map(int, input().split())\n        holes.add((a, b))\n    grid = [[0] * (w + 1) for _ in range(h + 1)]\n    for i in range(h):\n        for j in range(w):\n            grid[i + 1][j + 1] = grid[i][j] + 1\n            if (i + 1, j + 1) in holes:\n                grid[i + 1][j + 1] = 0\n    ans = 0\n    for i in range(h + 1):\n        for j in range(w + 1):\n            for k in range(1, min(h - i + 1, w - j + 1) + 1):\n                if grid[i][j] == grid[i + k - 1][j + k - 1]:\n                    ans += 1\n    print(ans)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n(H, W, N) = map(int, input().split())\nholes = set()\nfor _ in range(N):\n    (a, b) = map(int, input().split())\n    holes.add((a, b))\nans = 0\nfor i in range(H):\n    for j in range(W):\n        if (i, j) not in holes:\n            n = 1\n            while i + n - 1 < H and j + n - 1 < W and (i + n - 1, j + n - 1) not in holes:\n                n += 1\n            ans += n * (n - 1) // 2\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(H, W, N) = map(int, input().split())\nholes = set()\nfor _ in range(N):\n    (a, b) = map(int, input().split())\n    holes.add((a, b))\nans = 0\nfor i in range(1, H + 1):\n    for j in range(1, W + 1):\n        for n in range(1, min(H + 1 - i, W + 1 - j) + 1):\n            flag = True\n            for k in range(n):\n                if (i + k, j + k) in holes:\n                    flag = False\n                    break\n            if flag:\n                ans += 1\nprint(ans)",
                "h, w, n = map(int, input().split())\nholes = set()\nfor _ in range(n):\n    a, b = map(int, input().split())\n    holes.add((a, b))\n\ngrid = [[0] * (w + 1) for _ in range(h + 1)]\nfor i in range(1, h + 1):\n    for j in range(1, w + 1):\n        if (i, j) not in holes:\n            grid[i][j] = grid[i - 1][j] + grid[i][j - 1] - grid[i - 1][j - 1] + 1\n\nans = 0\nfor i in range(1, h + 1):\n    for j in range(1, w + 1):\n        for k in range(1, min(h - i + 1, w - j + 1) + 1):\n            if grid[i][j] == grid[i + k - 1][j + k - 1] - grid[i][j + k - 1] - grid[i + k - 1][j] + grid[i][j]:\n                ans += 1\nprint(ans)",
                "def main():\n    h, w, n = map(int, input().split())\n    holes = set()\n    for _ in range(n):\n        a, b = map(int, input().split())\n        holes.add((a, b))\n    grid = [[0] * (w + 1) for _ in range(h + 1)]\n    for i in range(1, h + 1):\n        for j in range(1, w + 1):\n            if (i, j) not in holes:\n                grid[i][j] = min(grid[i - 1][j], grid[i][j - 1], grid[i - 1][j - 1]) + 1\n    ans = 0\n    for i in range(1, h + 1):\n        for j in range(1, w + 1):\n            for k in range(1, min(h - i + 1, w - j + 1, grid[i][j]) + 1):\n                ans += 1\n    print(ans)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "S = input()\r\nif S in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "s = input()\r\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "s = input()\r\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "s = input()\r\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "s = input()\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "S = input()\r\n\r\nif S in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "s = input()\nif s in [\"ACE\", \"BDF\", \"CEG\", \"DFA\", \"EGB\", \"FAC\", \"GBD\"]:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = list(map(int, input().split()))\n\nS = [input().rstrip() for _ in range(H)]\n\nfor i in range(H - 8):\n    for j in range(W - 8):\n        if S[i][j] == \"#\" and S[i][j + 3] == \".\" and S[i + 3][j] == \".\" and S[i + 3][j + 3] == \"#\":\n            if S[i][j + 1] == S[i][j + 2] == S[i + 1][j] == S[i + 1][j + 1] == S[i + 1][j + 2] == S[i + 2][j] == S[i + 2][j + 1] == S[i + 2][j + 2] == \".\":\n                if S[i + 3][j + 1] == S[i + 3][j + 2] == S[i + 4][j] == S[i + 4][j + 1] == S[i + 4][j + 2] == S[i + 5][j] == S[i + 5][j + 1] == S[i + 5][j + 2] == \"#\":\n                    if S[i + 6][j] == S[i + 6][j + 1] == S[i + 6][j + 2] == S[i + 7][j] == S[i + 7][j + 1] == S[i + 7][j + 2] == S[i + 8][j] == S[i + 8][j + 1] == S[i + 8][j + 2] == \"#\":\n                        print(i + 1, j + 1)",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = list(map(int, input().split()))\n\nS = [input().rstrip() for _ in range(H)]\n\nfor i in range(H - 8):\n    for j in range(W - 8):\n        if S[i][:3] == \"###\" and S[i][-3:] == \"###\" and S[i + 8][:3] == \"###\" and S[i + 8][-3:] == \"###\":\n            if S[i + 1][:3] == \"...\":\n                if S[i + 2][:3] == \"...\":\n                    if S[i + 3][:3] == \"...\":\n                        if S[i + 4][:3] == \"...\":\n                            if S[i + 5][:3] == \"...\":\n                                if S[i + 6][:3] == \"...\":\n                                    if S[i + 7][:3] == \"...\":\n                                        if S[i + 3][-3:] == \"...\":\n                                            if S[i + 4][-3:] == \"...\":\n                                                if S[i + 5][-3:] == \"...\":\n                                                    if S[i + 6][-3:] == \"...\":\n                                                        if S[i + 7][-3:] == \"...\":\n                                                            if S[i + 1][-3:] == \"...\":\n                                                                if S[i + 2][-3:] == \"...\":\n                                                                    if S[i + 5][3:-3] == \"........\" and S[i + 6][3:-3] == \"........\" and S[i + 7][3:-3] == \"........\":\n                                                                        if S[i + 1][3:-3] == \"........\" and S[i + 2][3:-3] == \"........\" and S[i + 3][3] == \"#\" and S[i + 4][3] == \"#\" and S[i + 5][3] == \"#\" and S[i + 6][3] == \"#\" and S[i + 7][3] == \"#\":\n                                                                            if S[i][3:-3] == \"........\" and S[i + 1][3] == \"#\" and S[i + 2][3] == \"#\" and S[i + 3][3] == \"#\" and S[i + 4][3] == \"#\":\n                                                                                print(i + 1, j + 1)",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\n\nS = [input().rstrip() for _ in range(H)]\n\nfor i in range(H - 8):\n    for j in range(W - 8):\n        if (\n            S[i][j] == \"#\"\n            and S[i][j + 1] == \"#\"\n            and S[i][j + 2] == \"#\"\n            and S[i + 1][j] == \"#\"\n            and S[i + 2][j] == \"#\"\n            and S[i + 3][j] == \"#\"\n            and S[i + 4][j] == \"#\"\n            and S[i + 5][j] == \"#\"\n            and S[i + 6][j] == \"#\"\n            and S[i + 7][j] == \"#\"\n            and S[i + 8][j] == \"#\"\n            and S[i + 1][j + 1] == \"#\"\n            and S[i + 2][j + 1] == \"#\"\n            and S[i + 3][j + 1] == \"#\"\n            and S[i + 4][j + 1] == \"#\"\n            and S[i + 5][j + 1] == \"#\"\n            and S[i + 6][j + 1] == \"#\"\n            and S[i + 7][j + 1] == \"#\"\n            and S[i + 8][j + 1] == \"#\"\n            and S[i + 1][j + 2] == \"#\"\n            and S[i + 2][j + 2] == \"#\"\n            and S[i + 3][j + 2] == \"#\"\n            and S[i + 4][j + 2] == \"#\"\n            and S[i + 5][j + 2] == \"#\"\n            and S[i + 6][j + 2] == \"#\"\n            and S[i + 7][j + 2] == \"#\"\n            and S[i + 8][j + 2] == \"#\"\n            and S[i][j + 6] == \".\"\n            and S[i][j + 7] == \".\"\n            and S[i][j + 8] == \".\"\n            and S[i + 1][j + 3] == \".\"\n            and S[i + 1][j + 4] == \".\"\n            and S[i + 1][j + 5] == \".\"\n            and S[i + 1][j + 6] == \".\"\n            and S[i + 1][j + 7] == \".\"\n            and S[i + 1][j + 8] == \".\"\n            and S[i + 2][j + 3] == \".\"\n            and S[i + 2][j + 4] == \".\"\n            and S[i + 2][j + 5] == \".\"\n            and S[i + 2][j + 6] == \".\"\n            and S[i + 2][j + 7] == \".\"\n            and S[i + 2][j + 8] == \".\"\n            and S[i + 3][j + 3] == \".\"\n            and S[i + 3][j + 4] == \".\"\n            and S[i + 3][j + 5] == \".\"\n            and S[i + 3][j + 6] == \".\"\n            and S[i + 3][j + 7] == \".\"\n            and S[i + 3][j + 8] == \".\"\n            and S[i + 4][j + 3] == \".\"\n            and S[i + 4][j + 4] == \".\"\n            and S[i + 4][j + 5] == \".\"\n            and S[i + 4][j + 6] == \".\"\n            and S[i + 4][j + 7] == \".\"\n            and S[i + 4][j + 8] == \".\"\n            and S[i + 5][j + 3] == \".\"\n            and S[i + 5][j + 4] == \".\"\n            and S[i + 5][j + 5] == \".\"\n            and S[i + 5][j + 6] == \".\"\n            and S[i + 5][j + 7] == \".\"\n            and S[i + 5][j + 8] == \".\"\n            and S[i + 6][j + 3] == \".\"\n            and S[i + 6][j + 4] == \".\"\n            and S[i + 6][j + 5] == \".\"\n            and S[i + 6][j + 6] == \".\"\n            and S[i + 6][j + 7] == \".\"\n            and S[i + 6][j + 8] == \".\"\n            and S[i + 7][j + 3] == \".\"\n            and S[i + 7][j + 4] == \".\"\n            and S[i + 7][j + 5] == \".\"\n            and S[i + 7][j + 6] == \".\"\n            and S[i + 7][j + 7] == \".\"\n            and S[i + 7][j + 8] == \".\"\n            and S[i + 8][j + 3] == \".\"\n            and S[i + 8][j + 4] == \".\"\n            and S[i + 8][j + 5] == \".\"\n            and S[i + 8][j + 6] == \".\"\n            and S[i + 8][j + 7] == \".\"\n            and S[i + 8][j + 8] == \".\"\n        ):\n            print(i + 1, j + 1)",
                "def main():\n    (n, m) = map(int, input().split())\n    s = [input() for _ in range(n)]\n    for i in range(n - 8):\n        for j in range(m - 8):\n            if (\n                s[i][:3] == \"###\"\n                and s[i][-3:] == \"###\"\n                and s[i + 8][:3] == \"###\"\n                and s[i + 8][-3:] == \"###\"\n                and all(\n                    s[p][q] == \".\"\n                    for p in range(i + 1, i + 8)\n                    for q in range(j, j + 3)\n                    if p != i + 7 or q != j + 2\n                )\n                and all(\n                    s[p][q] == \".\"\n                    for p in range(i, i + 3)\n                    for q in range(j + 1, j + 8)\n                    if p != i + 2 or q != j + 7\n                )\n                and all(\n                    s[i + p][j + q] == \".\"\n                    for p in range(1, 7)\n                    for q in range(1, 4)\n                    if p != 6 or q != 3\n                )\n                and all(\n                    s[i + p][j + q] == \".\"\n                    for p in range(1, 4)\n                    for q in range(1, 7)\n                    if p != 3 or q != 6\n                )\n            ):\n                print(i + 1, j + 1)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = list(map(int, input().split()))\n\nS = [input().rstrip() for _ in range(H)]\n\nans = []\n\nfor i in range(H - 8):\n    for j in range(W - 8):\n        if S[i][j] == \"#\" and S[i + 1][j] == \"#\" and S[i + 2][j] == \"#\" and S[i][j + 1] == \"#\" and S[i + 1][j + 1] == \"#\" and S[i + 2][j + 2] == \"#\" and S[i + 6][j + 6] == \"#\" and S[i + 7][j + 6] == \"#\" and S[i + 8][j + 6] == \"#\" and S[i + 6][j] == \".\" and S[i + 7][j] == \".\" and S[i + 8][j] == \".\" and S[i + 6][j + 1] == \".\" and S[i + 7][j + 1] == \".\" and S[i + 8][j + 1] == \".\" and S[i][j + 6] == \".\" and S[i][j + 7] == \".\" and S[i][j + 8] == \".\" and S[i + 1][j + 6] == \".\" and S[i + 1][j + 7] == \".\" and S[i + 2][j + 6] == \".\":\n            ans.append((i, j))\n\nans.sort()\n\nfor i, j in ans:\n    print(i + 1, j + 1)",
                "def main():\n    (n, m) = map(int, input().split())\n    s = [input() for _ in range(n)]\n    ans = []\n    for i in range(n - 8):\n        for j in range(m - 8):\n            if (\n                s[i][:3] == \"###\"\n                and s[i][-3:] == \"###\"\n                and s[i + 8][:3] == \"###\"\n                and s[i + 8][-3:] == \"###\"\n                and all(\n                    s[p][q] == \".\"\n                    for p in range(i + 1, i + 8)\n                    for q in range(j, j + 3)\n                    if p != i + 7 or q != j + 2\n                )\n                and all(\n                    s[p][q] == \".\"\n                    for p in range(i + 1, i + 3)\n                    for q in range(j + 6, j + 9)\n                    if p != i + 2 or q != j + 8\n                )\n                and all(\n                    s[p][q] == \".\"\n                    for p in range(i + 6, i + 9)\n                    for q in range(j + 1, j + 4)\n                    if p != i + 8 or q != j + 3\n                )\n                and all(\n                    s[p][q] == \".\"\n                    for p in range(i + 6, i + 9)\n                    for q in range(j + 4, j + 7)\n                    if p != i + 8 or q != j + 6\n                )\n            ):\n                ans.append((i, j))\n    for a, b in sorted(ans):\n        print(a + 1, b + 1)\n\n\nmain()",
                "n, m = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n - 8):\n    for j in range(m - 8):\n        if a[i][j] == a[i + 8][j + 8] == \".\":\n            continue\n        ok = 1\n        for k in range(3):\n            for l in range(3):\n                if a[i + k][j + l] != a[i + 8 - k][j + 8 - l]:\n                    ok = 0\n        if ok:\n            print(i + 1, j + 1)",
                "n, m = map(int, input().split())\ns = [input() for _ in range(n)]\n\nfor i in range(n - 8):\n    for j in range(m - 8):\n        if (\n            s[i][j] == \"#\"\n            and s[i][j + 1] == \"#\"\n            and s[i][j + 2] == \"#\"\n            and s[i + 1][j] == \"#\"\n            and s[i + 2][j] == \"#\"\n            and s[i + 3][j] == \".\"\n            and s[i + 4][j] == \".\"\n            and s[i + 5][j] == \".\"\n            and s[i + 6][j] == \".\"\n            and s[i + 7][j] == \"#\"\n            and s[i + 8][j] == \"#\"\n            and s[i + 8][j + 1] == \"#\"\n            and s[i + 8][j + 2] == \"#\"\n            and s[i][j + 6] == \".\"\n            and s[i][j + 7] == \".\"\n            and s[i][j + 8] == \".\"\n            and s[i + 1][j + 6] == \".\"\n            and s[i + 2][j + 6] == \".\"\n            and s[i + 3][j + 6] == \"#\"\n            and s[i + 4][j + 6] == \"#\"\n            and s[i + 5][j + 6] == \"#\"\n            and s[i + 6][j + 6] == \"#\"\n            and s[i + 7][j + 6] == \"#\"\n            and s[i + 8][j + 6] == \"#\"\n            and s[i + 8][j + 7] == \"#\"\n            and s[i + 8][j + 8] == \"#\"\n        ):\n            print(i + 1, j + 1)",
                "n, m = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n - 8):\n    for j in range(m - 8):\n        if a[i][j] == a[i][j + 3] == a[i + 3][j] == a[i + 3][j + 3] == \"#\":\n            if a[i + 1][j + 1] == a[i + 2][j + 1] == a[i + 1][j + 2] == a[i + 2][j + 2] == \".\":\n                if a[i + 4][j + 4] == a[i + 5][j + 4] == a[i + 6][j + 4] == a[i + 7][j + 4] == \"#\":\n                    if a[i + 4][j + 5] == a[i + 5][j + 5] == a[i + 6][j + 5] == a[i + 7][j + 5] == \".\":\n                        if a[i + 4][j + 6] == a[i + 5][j + 6] == a[i + 6][j + 6] == a[i + 7][j + 6] == \"#\":\n                            if a[i + 4][j + 7] == a[i + 5][j + 7] == a[i + 6][j + 7] == a[i + 7][j + 7] == \".\":\n                                if a[i + 4][j + 8] == a[i + 5][j + 8] == a[i + 6][j + 8] == a[i + 7][j + 8] == \"#\":\n                                    print(i + 1, j + 1)",
                "n, m = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(input())\n\nfor i in range(n - 8):\n    for j in range(m - 8):\n        if a[i][:3] == \"###\" and a[i][j + 6 : j + 9] == \"###\" and a[i + 8][:3] == \"###\" and a[i + 8][j + 6 : j + 9] == \"###\":\n            flag = True\n            for k in range(i, i + 3):\n                if a[k][j + 3 : j + 6] != \"...\" or a[k][j] != \".\" or a[k][j + 6 : j + 9] != \"...\":\n                    flag = False\n                    break\n            for k in range(i + 3, i + 6):\n                if a[k][j] != \".\" or a[k][j + 6 : j + 9] != \"...\":\n                    flag = False\n                    break\n            for k in range(i + 6, i + 9):\n                if a[k][j] != \".\" or a[k][j + 3 : j + 6] != \"...\" or a[k][j + 6 : j + 9] != \"...\":\n                    flag = False\n                    break\n            for k in range(i + 1, i + 8):\n                if a[k][:3] != \"###\" or a[k][j] != \".\" or a[k][j + 6 : j + 9] != \"...\":\n                    flag = False\n                    break\n            for k in range(i, i + 9):\n                if a[k][j + 3 : j + 6] != \"...\":\n                    flag = False\n                    break\n            if flag:\n                print(i + 1, j + 1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\nl, r = 0, 10**9\nwhile r - l > 1:\n    mid = (l + r) // 2\n    if sum(1 for x in a if x <= mid) >= sum(1 for x in b if x >= mid):\n        r = mid\n    else:\n        l = mid\nprint(r)",
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\ni = 0\nfor j in range(m):\n    while i < n and a[i] < b[j]:\n        i += 1\n    if i >= n:\n        break\n    if j < m - 1 and b[j] == b[j + 1]:\n        continue\n    if i >= j:\n        break\nprint(b[j])",
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\ni = 0\nj = 0\nwhile i < n and j < m:\n    if a[i] <= b[j]:\n        j += 1\n    i += 1\nprint(a[i - 1] + 1)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\ni = 0\nj = 0\nwhile i < n and j < m:\n    if a[i] <= b[j]:\n        j += 1\n    i += 1\nprint(a[i - 1] + 1)",
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\ni = 0\nfor j in range(m):\n    while i < n and a[i] < b[j]:\n        i += 1\n    if i >= n:\n        break\n    if j < m - 1 and b[j] == b[j + 1]:\n        continue\n    if i >= j:\n        break\nprint(b[j])",
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\nl, r = 0, 10**9\nwhile r - l > 1:\n    mid = (l + r) // 2\n    if sum(1 for x in a if x <= mid) >= sum(1 for x in b if x >= mid):\n        r = mid\n    else:\n        l = mid\nprint(r)",
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()), reverse=True)\nl, r = 0, 10**9\nwhile r - l > 1:\n    mid = (l + r) // 2\n    if sum(1 for i in a if i <= mid) >= sum(1 for i in b if i >= mid):\n        r = mid\n    else:\n        l = mid\nprint(r)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nl, r = 0, 10**9\nwhile l + 1 < r:\n    mid = (l + r) // 2\n    if sum((x >= mid for x in a)) >= sum((x <= mid for x in b)):\n        r = mid\n    else:\n        l = mid\nprint(r)",
                "n, m = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\ni = j = 0\nwhile j < m:\n    if a[i] >= b[j]:\n        j += 1\n    i += 1\nprint(a[i - 1])",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\ni = 0\nj = 0\nwhile i < n and j < m:\n    if a[i] <= b[j]:\n        j += 1\n    i += 1\nprint(a[i - 1])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().rstrip()\n\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\n\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n    elif S[i] == \")\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j - 1] += dp[i][j]\n            dp[i + 1][j - 1] %= mod\n    else:\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n            dp[i + 1][j] += dp[i][j]\n            dp[i + 1][j] %= mod\n\nans = 0\n\nfor i in range(N + 1):\n    ans += dp[N][i] * (2 ** (N - i)) % mod\n    ans %= mod\n\nprint(ans)",
                "from sys import stdin\n\ninput = stdin.readline\nmod = 998244353\ns = input().strip()\nn = len(s)\ndp = [[0] * (n + 1) for _ in range(n + 1)]\ndp[0][0] = 1\nfor i in range(n):\n    if s[i] == \"(\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\n    elif s[i] == \")\":\n        for j in range(i, n):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n    else:\n        for j in range(n):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 2) % mod\n            if j > 0 and s[j - 1] == \"(\":\n                dp[i + 1][j - 1] = (dp[i + 1][j - 1] + dp[i][j]) % mod\n            if j < n - 1 and s[j + 1] == \")\":\n                dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\nprint(dp[n][0])",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().rstrip()\n\nN = len(S)\n\ndp = [[0] * (N + 1) for i in range(N + 1)]\n\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n    elif S[i] == \")\":\n        for j in range(i, N):\n            dp[i + 1][j] += dp[i][j]\n            dp[i + 1][j] %= mod\n    else:\n        for j in range(N):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n            dp[i + 1][j] += dp[i][j]\n            dp[i + 1][j] %= mod\n\nprint(dp[N][0])",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().strip()\n\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\n    elif S[i] == \")\":\n        for j in range(i, N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n    else:\n        for j in range(N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 2) % mod\n\nprint(dp[N][0])",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\nS = input().rstrip()\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\n    elif S[i] == \")\":\n        for j in range(i, N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n    else:\n        for j in range(N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 2) % mod\n\nprint(dp[N][0])",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().rstrip()\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\n    elif S[i] == \")\":\n        for j in range(i, N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n    else:\n        for j in range(N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 2) % mod\n\nprint(dp[N][0])",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nS = input().strip()\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\ndp[0][0] = 1\n\nfor i in range(N):\n    c = S[i]\n    if c == \"(\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j + 1] = (dp[i + 1][j + 1] + dp[i][j]) % mod\n    elif c == \")\":\n        for j in range(i, N):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % mod\n    else:\n        for j in range(N + 1):\n            dp[i + 1][j] = (dp[i + 1][j] + dp[i][j] * 2) % mod\n\nprint(dp[N][0])",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().rstrip()\n\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\n\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n    elif S[i] == \")\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j - 1] += dp[i][j]\n            dp[i + 1][j - 1] %= mod\n    else:\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n            dp[i + 1][j] += dp[i][j]\n            dp[i + 1][j] %= mod\n\nans = 0\n\nfor i in range(N + 1):\n    ans += dp[N][i] * (2 ** (N - i))\n    ans %= mod\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().strip()\n\nN = len(S)\n\ndp = [[0] * (N + 1) for i in range(N + 1)]\n\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n    elif S[i] == \")\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j - 1] += dp[i][j]\n            dp[i + 1][j - 1] %= mod\n    else:\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n            dp[i + 1][j - 1] += dp[i][j]\n            dp[i + 1][j - 1] %= mod\n\nprint(dp[N][0])",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nS = input().rstrip()\n\nN = len(S)\n\ndp = [[0] * (N + 1) for _ in range(N + 1)]\n\ndp[0][0] = 1\n\nfor i in range(N):\n    if S[i] == \"(\":\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n    elif S[i] == \")\":\n        for j in range(i, -1, -1):\n            dp[i + 1][j - 1] += dp[i][j]\n            dp[i + 1][j - 1] %= mod\n    else:\n        for j in range(i + 1):\n            dp[i + 1][j + 1] += dp[i][j]\n            dp[i + 1][j + 1] %= mod\n            dp[i + 1][j] += dp[i][j]\n            dp[i + 1][j] %= mod\n\nans = 0\n\nfor i in range(N + 1):\n    ans += dp[N][i] * (2 ** (N - i))\n    ans %= mod\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nx_dict = {}\ny_dict = {}\nz_dict = {}\nfor i in range(n):\n    x1, y1, z1, x2, y2, z2 = cuboids[i]\n    x_dict[x1, y1, z1] = x_dict.get((x1, y1, z1), 0) + 1\n    x_dict[x2, y2, z2] = x_dict.get((x2, y2, z2), 0) + 1\n    y_dict[x1, y1, z1] = y_dict.get((x1, y1, z1), 0) + 1\n    y_dict[x2, y2, z2] = y_dict.get((x2, y2, z2), 0) + 1\n    z_dict[x1, y1, z1] = z_dict.get((x1, y1, z1), 0) + 1\n    z_dict[x2, y2, z2] = z_dict.get((x2, y2, z2), 0) + 1\n\nresults = []\nfor i in range(n):\n    x1, y1, z1, x2, y2, z2 = cuboids[i]\n    results.append(x_dict[x1, y1, z1] + x_dict[x2, y2, z2] + y_dict[x1, y1, z1] + y_dict[x2, y2, z2] + z_dict[x1, y1, z1] + z_dict[x2, y2, z2] - 6)\n\nfor result in results:\n    print(result)",
                "n = int(input())\n\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nx_dict = {}\ny_dict = {}\nz_dict = {}\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    x_dict[x1, x2] = x_dict.get((x1, x2), 0) + 1\n    y_dict[y1, y2] = y_dict.get((y1, y2), 0) + 1\n    z_dict[z1, z2] = z_dict.get((z1, z2), 0) + 1\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    count = 0\n    count += x_dict.get((x1, x2), 0) - 1\n    count += y_dict.get((y1, y2), 0) - 1\n    count += z_dict.get((z1, z2), 0) - 1\n    print(count)",
                "from collections import defaultdict\n\nn = int(input())\n\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nx_dict = defaultdict(int)\ny_dict = defaultdict(int)\nz_dict = defaultdict(int)\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    x_dict[x1] += 1\n    x_dict[x2] += 1\n    y_dict[y1] += 1\n    y_dict[y2] += 1\n    z_dict[z1] += 1\n    z_dict[z2] += 1\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    print(x_dict[x1] - 1 + y_dict[y1] - 1 + z_dict[z1] - 1)",
                "n = int(input())\n\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nx_dict = {}\ny_dict = {}\nz_dict = {}\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    x_dict[x1, x2] = x_dict.get((x1, x2), 0) + 1\n    y_dict[y1, y2] = y_dict.get((y1, y2), 0) + 1\n    z_dict[z1, z2] = z_dict.get((z1, z2), 0) + 1\n\nresults = []\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    results.append(\n        x_dict[x1, x2] - 1 + y_dict[y1, y2] - 1 + z_dict[z1, z2] - 1 - 2\n    )\n\nfor result in results:\n    print(result)",
                "from collections import defaultdict\n\nn = int(input())\ncuboids = [list(map(int, input().split())) for _ in range(n)]\n\n# Create a dictionary to store the count of cuboids for each XYZ face\nface_count = defaultdict(int)\n\n# Iterate through each cuboid\nfor i in range(n):\n    # Extract the coordinates of the cuboid\n    x1, y1, z1, x2, y2, z2 = cuboids[i]\n\n    # Define the 6 faces of the cuboid\n    faces = [\n        (x1, y1, z1),\n        (x2, y1, z1),\n        (x1, y2, z1),\n        (x1, y1, z2),\n        (x2, y2, z1),\n        (x1, y2, z2),\n    ]\n\n    # Increment the count for each face\n    for face in faces:\n        face_count[face] += 1\n\n# Iterate through each cuboid again to calculate the answer\nresults = []\nfor i in range(n):\n    x1, y1, z1, x2, y2, z2 = cuboids[i]\n    count = 0\n\n    # Define the 6 faces of the cuboid\n    faces = [\n        (x1, y1, z1),\n        (x2, y1, z1),\n        (x1, y2, z1),\n        (x1, y1, z2),\n        (x2, y2, z1),\n        (x1, y2, z2),\n    ]\n\n    # Check the count for each face\n    for face in faces:\n        if face_count[face] > 1:\n            count += 1\n\n    # Subtract 1 because we don't want to count the cuboid itself\n    results.append(count - 1)\n\n# Print the results\nfor result in results:\n    print(result)",
                "from collections import defaultdict\n\nn = int(input())\n\ncuboids = []\nfor i in range(n):\n    cuboids.append(list(map(int, input().split())))\n\ncuboids_dict = defaultdict(int)\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    cuboids_dict[(x1, y1, z1)] += 1\n    cuboids_dict[(x2, y2, z2)] += 1\n    cuboids_dict[(x1, y1, z2)] += 1\n    cuboids_dict[(x2, y2, z1)] += 1\n    cuboids_dict[(x1, y2, z1)] += 1\n    cuboids_dict[(x2, y1, z2)] += 1\n    cuboids_dict[(x2, y1, z1)] += 1\n    cuboids_dict[(x1, y2, z2)] += 1\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    print(cuboids_dict[(x1, y1, z1)] + cuboids_dict[(x2, y2, z2)] - 2)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nX = [list(map(int, input().split())) for i in range(N)]\n\nans = [0] * N\n\nfor i in range(N):\n    for j in range(i + 1, N):\n        if (\n            X[i][0] == X[j][0]\n            and X[i][1] <= X[j][1]\n            and X[i][2] <= X[j][2]\n            and X[i][3] >= X[j][3]\n            and X[i][4] >= X[j][4]\n            and X[i][5] >= X[j][5]\n        ):\n            ans[i] += 1\n            ans[j] += 1\n        elif (\n            X[i][3] == X[j][3]\n            and X[i][4] <= X[j][4]\n            and X[i][5] <= X[j][5]\n            and X[i][0] >= X[j][0]\n            and X[i][1] >= X[j][1]\n            and X[i][2] >= X[j][2]\n        ):\n            ans[i] += 1\n            ans[j] += 1\n        elif (\n            X[i][0] == X[j][3]\n            and X[i][1] == X[j][4]\n            and X[i][2] == X[j][5]\n            and X[i][3] == X[j][0]\n            and X[i][4] == X[j][1]\n            and X[i][5] == X[j][2]\n        ):\n            ans[i] += 1\n            ans[j] += 1\n\nfor a in ans:\n    print(a)",
                "n = int(input())\n\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nx_cuboids = {}\ny_cuboids = {}\nz_cuboids = {}\n\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    x_cuboids.setdefault(x1, []).append((y1, z1, y2, z2))\n    x_cuboids.setdefault(x2, []).append((y1, z1, y2, z2))\n    y_cuboids.setdefault(y1, []).append((x1, z1, x2, z2))\n    y_cuboids.setdefault(y2, []).append((x1, z1, x2, z2))\n    z_cuboids.setdefault(z1, []).append((x1, y1, x2, y2))\n    z_cuboids.setdefault(z2, []).append((x1, y1, x2, y2))\n\nresults = [0] * n\nfor i, cuboid in enumerate(cuboids):\n    x1, y1, z1, x2, y2, z2 = cuboid\n    for y, z, y2, z2 in x_cuboids[x1]:\n        if y1 <= y <= y2 and z1 <= z <= z2:\n            results[i] += 1\n    for y, z, y2, z2 in x_cuboids[x2]:\n        if y1 <= y <= y2 and z1 <= z <= z2:\n            results[i] += 1\n    for x, z, x2, z2 in y_cuboids[y1]:\n        if x1 <= x <= x2 and z1 <= z <= z2:\n            results[i] += 1\n    for x, z, x2, z2 in y_cuboids[y2]:\n        if x1 <= x <= x2 and z1 <= z <= z2:\n            results[i] += 1\n    for x, y, x2, y2 in z_cuboids[z1]:\n        if x1 <= x <= x2 and y1 <= y <= y2:\n            results[i] += 1\n    for x, y, x2, y2 in z_cuboids[z2]:\n        if x1 <= x <= x2 and y1 <= y <= y2:\n            results[i] += 1\n\nfor result in results:\n    print(result)",
                "n = int(input())\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nx_dict = {}\ny_dict = {}\nz_dict = {}\nfor i in range(n):\n    x1, y1, z1, x2, y2, z2 = cuboids[i]\n    x_dict[x1, y1, z1] = x_dict.get((x1, y1, z1), 0) + 1\n    x_dict[x2, y2, z2] = x_dict.get((x2, y2, z2), 0) + 1\n    y_dict[x1, y1, z1] = y_dict.get((x1, y1, z1), 0) + 1\n    y_dict[x2, y2, z2] = y_dict.get((x2, y2, z2), 0) + 1\n    z_dict[x1, y1, z1] = z_dict.get((x1, y1, z1), 0) + 1\n    z_dict[x2, y2, z2] = z_dict.get((x2, y2, z2), 0) + 1\n\nfor i in range(n):\n    x1, y1, z1, x2, y2, z2 = cuboids[i]\n    count = (\n        x_dict.get((x1, y1, z1), 0)\n        + x_dict.get((x2, y2, z2), 0)\n        + y_dict.get((x1, y1, z1), 0)\n        + y_dict.get((x2, y2, z2), 0)\n        + z_dict.get((x1, y1, z1), 0)\n        + z_dict.get((x2, y2, z2), 0)\n    ) - 3\n    print(count)",
                "from collections import defaultdict\n\nn = int(input())\ncuboids = []\nfor _ in range(n):\n    cuboids.append(list(map(int, input().split())))\n\nfaces = defaultdict(set)\nfor cuboid in cuboids:\n    x1, y1, z1, x2, y2, z2 = cuboid\n    for i in range(3):\n        for j in range(i + 1, 3):\n            face = (cuboid[i], cuboid[i + 3], cuboid[j], cuboid[j + 3])\n            faces[face].add(cuboid)\n\nfor cuboid in cuboids:\n    count = 0\n    for i in range(3):\n        for j in range(i + 1, 3):\n            face = (cuboid[i], cuboid[i + 3], cuboid[j], cuboid[j + 3])\n            count += len(faces[face]) - 1\n    print(count)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from heapq import heappush, heappop\n\n(n, m) = map(int, input().split())\n\ncans = []\nopeners = []\n\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 2:\n        openers.append(x)\n\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\n\nopener_index = 0\nopener = 0\n\nheap = []\n\nfor can in cans:\n    if opener > 0:\n        opener -= 1\n        heappush(heap, -can)\n    if len(heap) == m:\n        heappop(heap)\n    if opener_index < len(openers):\n        if openers[opener_index] > 0:\n            opener = openers[opener_index]\n            opener_index += 1\n\nans = 0\nfor i in range(m):\n    ans -= heap[i]\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\nitems = []\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    items.append((t, x))\nitems.sort(key=lambda x: -x[1])\ncans = [0] * m\nopeners = [0] * m\nfor i in range(m):\n    t, x = items[i]\n    if t == 0:\n        cans[i] = x\n    elif t == 1:\n        cans[i] = -x\n    else:\n        openers[i] = x\nfor i in range(m):\n    for j in range(i):\n        if cans[j] < 0:\n            cans[j] += openers[i]\nprint(sum(filter(lambda x: x > 0, cans)) + sum(openers))",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor _ in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_idx = 0\nhappiness = 0\nfor can in cans:\n    if can > 0:\n        happiness += can\n    elif can < 0:\n        if opener_idx < len(openers):\n            happiness += can\n            opener_idx += 1\n        else:\n            happiness += 0\nprint(happiness)",
                "from heapq import heappush, heappop\nfrom collections import deque\n\nN, M = map(int, input().split())\n\ncans = []\nopeners = deque()\n\nfor i in range(N):\n    t, x = map(int, input().split())\n    if t == 0:\n        cans.append((x, 0))\n    elif t == 1:\n        cans.append((x, 1))\n    else:\n        openers.append(x)\n\ncans.sort(reverse=True)\n\nans = 0\nfor i in range(M):\n    if openers:\n        op = openers.popleft()\n        if op > 0:\n            x, t = heappop(cans)\n            ans += x\n            op -= 1\n            if op:\n                heappush(cans, (op, 2))\n    else:\n        ans += cans[i][0]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_index = 0\nhappiness = sum(cans[: m - len(openers)])\nfor i in range(min(m - len(openers), len(cans))):\n    if opener_index < len(openers) and cans[i] < 0:\n        happiness += cans[i] + openers[opener_index]\n        opener_index += 1\n    else:\n        happiness += cans[i]\nprint(happiness)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_index = 0\nhappiness = 0\nfor i in range(m):\n    if opener_index < len(openers) and cans[i] < 0:\n        cans[i] *= -1\n        openers[opener_index] -= 1\n        if openers[opener_index] == 0:\n            opener_index += 1\n    happiness += cans[i]\nprint(happiness)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor _ in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_index = 0\nhappiness = sum(cans[: m - len(openers)])\nfor i in range(min(m - len(openers), len(cans))):\n    if opener_index < len(openers):\n        happiness += cans[i] * openers[opener_index]\n        opener_index += 1\nprint(happiness)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_index = 0\nans = 0\nfor x in cans:\n    if x > 0:\n        ans += x\n    elif m - opener_index > 0:\n        ans += x\n        m -= 1\n        if opener_index < len(openers):\n            opener_index += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_index = 0\nhappiness = 0\nfor i in range(m):\n    if opener_index < len(openers) and cans[i] < 0:\n        cans[i] *= -1\n        openers[opener_index] -= 1\n        if openers[opener_index] == 0:\n            opener_index += 1\n    happiness += cans[i]\nprint(happiness)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ncans = []\nopeners = []\nfor i in range(n):\n    (t, x) = map(int, input().split())\n    if t == 0:\n        cans.append(x)\n    elif t == 1:\n        cans.append(-x)\n    else:\n        openers.append(x)\ncans.sort(reverse=True)\nopeners.sort(reverse=True)\nopener_index = 0\nhappiness = 0\nfor i in range(m):\n    if opener_index < len(openers) and cans[i] < 0:\n        cans[i] *= -1 - openers[opener_index]\n        opener_index += 1\n    happiness += cans[i]\nprint(happiness)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))",
                "n = int(input())\np = list(map(int, input().split()))\nprint(max(0, max(p) - p[0] + 1))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\n\ngraph = [[] for _ in range(n + 1)]\nindegree = [0] * (n + 1)\n\nfor _ in range(m):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    indegree[b] += 1\n\nqueue = [i for i in range(1, n + 1) if indegree[i] == 0]\n\nif len(queue) == 0:\n    print(-1)\n\nelse:\n    while queue:\n        x = queue.pop(0)\n        for y in graph[x]:\n            indegree[y] -= 1\n            if indegree[y] == 0:\n                queue.append(y)\n\n    for i in range(1, n + 1):\n        if indegree[i] == 0:\n            print(i)\n            break\n    else:\n        print(-1)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\nans = -1\nfor i in range(1, n + 1):\n    flag = 1\n    for j in range(1, n + 1):\n        if i == j:\n            continue\n        if i in graph[j]:\n            flag = 0\n            break\n    if flag:\n        if ans == -1:\n            ans = i\n        else:\n            ans = -1\n            break\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ng = [[] for _ in range(n)]\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    a -= 1\n    b -= 1\n    g[a].append(b)\n    g[b].append(a)\n\ncolor = [-1] * n\ncolor[0] = 0\nstack = [0]\nwhile stack:\n    v = stack.pop()\n    for nv in g[v]:\n        if color[nv] == -1:\n            color[nv] = 1 - color[v]\n            stack.append(nv)\n        elif color[nv] == color[v]:\n            print(-1)\n            exit()\n\nprint(color.count(1) == 1 and color.index(1) + 1 or -1)",
                "n, m = map(int, input().split())\n\ngraph = [[] for _ in range(n + 1)]\nindegree = [0] * (n + 1)\n\nfor _ in range(m):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    indegree[b] += 1\n\nqueue = [i for i in range(1, n + 1) if indegree[i] == 0]\n\nwhile queue:\n    node = queue.pop(0)\n    for child in graph[node]:\n        indegree[child] -= 1\n        if indegree[child] == 0:\n            queue.append(child)\n\nif sum(indegree[1:]) == 0:\n    print(node)\nelse:\n    print(-1)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\nans = -1\nfor i in range(1, n + 1):\n    flag = True\n    for j in range(1, n + 1):\n        if i == j:\n            continue\n        if i in graph[j]:\n            flag = False\n            break\n    if flag:\n        if ans == -1:\n            ans = i\n        else:\n            ans = -1\n            break\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, m) = map(int, input().split())\ngraph = [[] for i in range(n + 1)]\nfor i in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\ncolor = [-1] * (n + 1)\ncolor[1] = 0\nfor i in range(1, n + 1):\n    if color[i] == -1:\n        color[i] = 1\n\nfor i in range(1, n + 1):\n    for j in graph[i]:\n        if color[i] == color[j]:\n            color[i] = 2\n            break\n\nans = 0\nfor i in range(1, n + 1):\n    if color[i] == 0:\n        ans += 1\nif ans == 1:\n    print(color.index(0))\nelse:\n    print(-1)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nAB = [list(map(int, input().split())) for _ in range(M)]\ngraph = [[] for _ in range(N + 1)]\nfor a, b in AB:\n    graph[a].append(b)\n    graph[b].append(a)\n\nstack = [1]\nvisited = [False] * (N + 1)\nvisited[1] = True\nwhile stack:\n    v = stack.pop()\n    for nv in graph[v]:\n        if not visited[nv]:\n            visited[nv] = True\n            stack.append(nv)\n\nif sum(visited) == N:\n    print(visited.index(True))\nelse:\n    print(-1)",
                "n, m = map(int, input().split())\na = [0] * n\nfor i in range(m):\n    x, y = map(int, input().split())\n    x, y = x - 1, y - 1\n    a[x] += 1\n    a[y] -= 1\nans = -1\nfor i in range(n):\n    if a[i] == n - 1:\n        if ans == -1:\n            ans = i + 1\n        else:\n            ans = -1\n            break\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nAB = [list(map(int, input().split())) for _ in range(M)]\ngraph = [[] for _ in range(N + 1)]\nfor A, B in AB:\n    graph[A].append(B)\n    graph[B].append(A)\n\nans = -1\nfor i in range(1, N + 1):\n    flag = True\n    for j in range(1, N + 1):\n        if i == j:\n            continue\n        if j not in graph[i]:\n            flag = False\n            break\n    if flag:\n        if ans == -1:\n            ans = i\n        else:\n            ans = -1\n            break\nprint(ans)",
                "n, m = map(int, input().split())\na = [0] * n\nfor i in range(m):\n    x, y = map(int, input().split())\n    a[x - 1] += 1\n    a[y - 1] -= 1\n\nif a.count(max(a)) == 1:\n    print(a.index(max(a)) + 1)\nelse:\n    print(-1)"
            ],
            "pass1_list": [
                false,
                true,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] + 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] + 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] + 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] + 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[i + 1] - 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] - i\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] + 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[-1] + 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[i + 1]\nprint(ans // 2)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i] - a[i + 1] + 1\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])",
                "n = int(input())\npi = \"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679\"\nprint(pi[: n + 3])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nbets = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    bets.append(a)\r\nx = int(input())\r\nwinners = []\r\nfor i in range(n):\r\n    if x in bets[i]:\r\n        winners.append((i + 1, len(bets[i])))\r\nif winners:\r\n    min_bets = min(winners, key=lambda x: x[1])[1]\r\n    print(len([i for i in winners if i[1] == min_bets]))\r\n    print(\" \".join([str(i[0]) for i in winners if i[1] == min_bets]))\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\nbets = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    bets.append((c, a))\r\nx = int(input())\r\nwinners = []\r\nfor i, (c, a) in enumerate(bets, 1):\r\n    if x in a:\r\n        winners.append((c, i))\r\nif winners:\r\n    winners.sort()\r\n    print(len(winners))\r\n    print(\" \".join(map(str, (i for _, i in winners[0:]))) + \"\\n\")\r\nelse:\r\n    print(\"0\")\r",
                "n = int(input())\r\nbets = []\r\nfor i in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    bets.append((c, i + 1, a))\r\nx = int(input())\r\nwinners = [i for c, i, a in bets if x in a]\r\nif winners:\r\n    c = min(bets, key=lambda x: x[0] if x[1] in winners else 1000000000)[0]\r\n    print(str(len(winners)))\r\n    print(\" \".join(str(i) for c, i, a in bets if x in a and c == c))\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\nbets = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    arr = list(map(int, input().split()))\r\n    bets.append((c, arr))\r\nx = int(input())\r\n\r\nwinners = []\r\nfor i, (c, arr) in enumerate(bets, 1):\r\n    if x in arr:\r\n        winners.append((c, i))\r\n\r\nif winners:\r\n    winners.sort()\r\n    print(len(winners))\r\n    print(\" \".join(map(str, (i for _, i in winners))))\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\nplayers = []\r\nfor i in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    players.append([c, a])\r\nx = int(input())\r\nwinners = []\r\nfor i, [c, a] in enumerate(players, 1):\r\n    if x in a:\r\n        winners.append([c, i])\r\nif winners:\r\n    winners.sort()\r\n    print(len(winners))\r\n    print(*[w[1] for w in winners if w[0] == winners[0][0]])\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\n\r\nbets = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    bets.append((c, a))\r\n\r\nx = int(input())\r\n\r\nwinners = []\r\nfor i, (c, a) in enumerate(bets, 1):\r\n    if x in a:\r\n        winners.append((c, i))\r\n\r\nif winners:\r\n    winners.sort()\r\n    print(len(winners))\r\n    print(*[i for _, i in winners])\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\nbets = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    bets.append((c, a))\r\nx = int(input())\r\nwinners = [i for i, bet in enumerate(bets) if x in bet[1]]\r\nif winners:\r\n    min_bets = min(bets[i][0] for i in winners)\r\n    print(len([i for i in winners if bets[i][0] == min_bets]))\r\n    print(*[i + 1 for i in winners if bets[i][0] == min_bets])\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\npeople = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    people.append((c, a))\r\nx = int(input())\r\nwinners = [i for i, (c, a) in enumerate(people) if x in a]\r\nif winners:\r\n    min_bets = min(people[i][0] for i in winners)\r\n    print(len([i for i in winners if people[i][0] == min_bets]))\r\n    print(*sorted([i for i in winners if people[i][0] == min_bets]))\r\nelse:\r\n    print(0)\r",
                "n = int(input())\r\nplayers = []\r\nfor i in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    players.append((c, a))\r\nx = int(input())\r\nwinners = [i for i, (c, a) in enumerate(players) if x in a]\r\nmin_bets = min(players[i][0] for i in winners)\r\nprint(len(winners))\r\nprint(\" \".join(str(i + 1) for i in winners if players[i][0] == min_bets))\r",
                "n = int(input())\r\nbets = []\r\nfor _ in range(n):\r\n    c = int(input())\r\n    a = list(map(int, input().split()))\r\n    bets.append((c, a))\r\nx = int(input())\r\nwinners = [i for i, (c, a) in enumerate(bets) if x in a]\r\nmin_bets = min(len(bets[i][1]) for i in winners)\r\nprint(len([i for i in winners if len(bets[i][1]) == min_bets]))\r\nprint(\" \".join(map(str, [i + 1 for i in winners if len(bets[i][1]) == min_bets])))\r"
            ],
            "pass1_list": [
                true,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j in range(n) if c[j] == i + 1]\n    if len(idx) > 1:\n        tmp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s = s[:idx[j]] + s[idx[j] + 1 :]\n            s = s[:idx[j - 1]] + tmp + s[idx[j - 1] + 1 :]\n        s = s[:idx[0]] + tmp + s[idx[0] + 1 :]\n\nprint(s)",
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j, x in enumerate(c) if x == i + 1]\n    if len(idx) > 1:\n        tmp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s[idx[j]] = s[idx[j - 1]]\n        s[idx[0]] = tmp\n\nprint(s)",
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j, x in enumerate(c) if x == i + 1]\n    if len(idx) > 1:\n        tmp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s[idx[j]] = s[idx[j - 1]]\n        s[idx[0]] = tmp\n\nprint(s)",
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j, x in enumerate(c) if x == i + 1]\n    if len(idx) > 1:\n        temp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s[idx[j]] = s[idx[j - 1]]\n        s[idx[0]] = temp\n\nprint(s)",
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j, x in enumerate(c) if x == i + 1]\n    if len(idx) > 1:\n        tmp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s[idx[j]] = s[idx[j - 1]]\n        s[idx[0]] = tmp\n\nprint(s)",
                "(n, m) = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\nd = [[] for i in range(m)]\nfor i in range(n):\n    d[c[i] - 1].append(s[i])\nfor i in d:\n    i.append(i[0])\n    s2 = \"\"\n    for j in range(len(i)):\n        s2 += i[j]\n    d[i[0 :: len(i)]] = s2\nprint(\"\".join(d))",
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j in range(n) if c[j] == i + 1]\n    if len(idx) > 1:\n        tmp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s = s[:idx[j]] + tmp + s[idx[j] + 1 :]\n            tmp = s[idx[j - 1]]\n\nprint(s)",
                "n, m = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    if c[i] not in d:\n        d[c[i]] = [s[i]]\n    else:\n        d[c[i]].append(s[i])\n\nfor i in range(1, m + 1):\n    d[i] = d[i][-1:] + d[i][:-1]\n\nans = \"\"\nfor i in range(n):\n    ans += d[c[i]].pop(0)\n\nprint(ans)",
                "(n, m) = map(int, input().split())\ns = input()\nc = list(map(int, input().split()))\n\nfor i in range(m):\n    idx = [j for j, x in enumerate(c) if x == i + 1]\n    if len(idx) > 1:\n        tmp = s[idx[-1]]\n        for j in range(len(idx) - 1, 0, -1):\n            s[idx[j]] = s[idx[j - 1]]\n        s[idx[0]] = tmp\n\nprint(s)",
                "n, m = map(int, input().split())\ns = input()\nc = [int(i) for i in input().split()]\n\nfor i in range(1, m + 1):\n    ind = [j for j in range(n) if c[j] == i]\n    if len(ind) > 1:\n        temp = s[ind[-1]]\n        for j in range(len(ind) - 1, 0, -1):\n            s = s[:ind[j]] + s[ind[j - 1]]\n            c[ind[j]] = c[ind[j - 1]]\n        s = s[:ind[0]] + temp + s[ind[0] + 1 :]\n\nprint(s)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\n\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\n\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\n\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\n\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\n\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\n\nfor _ in range(q):\n    t, x, c = map(str, input().split())\n    t, x = int(t), int(x)\n    if t == 1:\n        s = s[:x - 1] + c + s[x:]\n    elif t == 2:\n        s = s.lower()\n    else:\n        s = s.upper()\n\nprint(s)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor i in range(N):\n    C, P, *S = map(int, input().split())\n    S = sum(S) / P\n    roulettes.append((C, S))\n\ndp = [[float(\"inf\")] * (M + 1) for _ in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    C, S = roulettes[i]\n    for j in range(M):\n        dp[i + 1][j + int(S > j)] = min(dp[i + 1][j + int(S > j)], dp[i][j] + C)\n\nprint(dp[N][M])",
                "from collections import defaultdict\nfrom functools import lru_cache\nimport sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor _ in range(N):\n    C, P, *S = map(int, input().split())\n    S = tuple(S)\n    roulettes.append((C, P, S))\n\n\n@lru_cache(None)\ndef dp(i, score):\n    if score >= M:\n        return 0\n    if i == N:\n        return float(\"inf\")\n    ans = float(\"inf\")\n    for j in range(roulettes[i][1]):\n        ans = min(ans, roulettes[i][0] + dp(i + 1, score + roulettes[i][2][j]))\n    return ans\n\n\nans = dp(0, 0)\nprint(ans)",
                "from collections import defaultdict\nfrom itertools import count\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor _ in range(N):\n    C, P, *S = map(int, input().split())\n    S = tuple(S)\n    assert len(S) == P\n    roulettes.append((C, P, S))\n\ndp = defaultdict(float, {(-1, 0): 0})\nq = [(-1, 0)]\nfor i in count():\n    if i >= len(q):\n        break\n    x, y = q.pop(0)\n    for C, P, S in roulettes:\n        for s in S:\n            if y + s >= M:\n                dp[C, P] = min(dp[C, P], dp[x, y] + C)\n                continue\n            if C not in dp or dp[C, P] + C + dp[x, y + s] < dp[C, P]:\n                dp[C, P] = dp[x, y + s] + C\n                q.append((C, P))\n\nans = min((dp[C, P] for C, P in dp))\nprint(ans)",
                "from collections import defaultdict\nfrom itertools import count\nfrom operator import itemgetter\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor _ in range(N):\n    C, P, *S = map(int, input().split())\n    S = sum(S) / P\n    roulettes.append((C, S))\n\nroulettes.sort(key=itemgetter(1), reverse=True)\n\ndp = [defaultdict(lambda: float(\"inf\")) for _ in range(N + 1)]\ndp[0][0] = 0\n\nfor i, (C, S) in enumerate(roulettes):\n    for j in range(M + 1):\n        for k in count(1):\n            next_j = j + k * S\n            if next_j > M:\n                break\n            dp[i + 1][next_j] = min(dp[i + 1][next_j], dp[i][j] + C)\n\nprint(dp[N][M])",
                "from collections import defaultdict\n\nINF = 10**18\n\n\ndef main():\n    (N, M) = map(int, input().split())\n    C = []\n    P = []\n    S = []\n    for _ in range(N):\n        ci, pi, *si = map(int, input().split())\n        C.append(ci)\n        P.append(pi)\n        S.append(si)\n\n    dp = [[[0, 0] for _ in range(M + 1)] for _ in range(N)]\n    for i in range(N):\n        for j in range(P[i]):\n            for k in range(M - S[i][j], M + 1):\n                dp[i][k][0] = (dp[i][k][0] + dp[i][k - S[i][j]][1]) / P[i]\n                dp[i][k][1] = dp[i][k][1] + C[i]\n\n    for i in range(N):\n        for j in range(M):\n            dp[i][j][1] = min(dp[i][j][1], dp[i][j + 1][1])\n\n    ans = INF\n    for i in range(N):\n        ans = min(ans, dp[i][0][1])\n\n    print(ans)\n\n\nmain()",
                "from collections import deque\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor i in range(N):\n    C, P, *S = map(int, input().split())\n    S = [0] + S\n    S_sum = sum(S)\n    S_avg = S_sum / P\n    S_max = max(S)\n    roulettes.append((C, P, S, S_sum, S_avg, S_max))\n\nroulettes.sort(key=lambda x: x[5], reverse=True)\n\ndp = [[float(\"inf\")] * (M + 1) for _ in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    C, P, S, S_sum, S_avg, S_max = roulettes[i]\n    for j in range(M + 1):\n        if j == M:\n            dp[i + 1][j] = dp[i][j]\n        else:\n            dp[i + 1][j] = min(dp[i][j], dp[i][j + S_max] + C)\n            for s in S:\n                dp[i + 1][j + s] = min(dp[i + 1][j + s], dp[i][j] + C / S_avg)\n\nprint(dp[N][M])",
                "from collections import defaultdict\nfrom functools import lru_cache\nimport sys\n\ninput = sys.stdin.readline\n\n\ndef main():\n    n, m = list(map(int, input().split()))\n    c = []\n    p = []\n    s = []\n    for _ in range(n):\n        ci, pi, *si = list(map(int, input().split()))\n        c.append(ci)\n        p.append(pi)\n        s.append(si)\n\n    @lru_cache(None)\n    def dp(i, rem):\n        if rem == 0:\n            return 0\n        if i == n:\n            return float(\"inf\")\n        ans = c[i] * p[i]\n        for j in range(p[i]):\n            ans += dp(i, rem - s[i][j]) / p[i]\n        return ans\n\n    print(dp(0, m))\n\n\nmain()",
                "from collections import defaultdict\nfrom itertools import count\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor _ in range(N):\n    C, P, *S = map(int, input().split())\n    S = tuple(S)\n    assert len(S) == P\n    roulettes.append((C, P, S))\n\n\ndef solve(roulettes):\n    dp = defaultdict(lambda: float(\"inf\"))\n    dp[0] = 0\n    for i in count():\n        next_dp = defaultdict(lambda: float(\"inf\"))\n        for score, cost in dp.items():\n            if score >= M:\n                continue\n            for C, P, S in roulettes:\n                next_score = score + S[i % P]\n                next_cost = cost + C\n                next_dp[next_score] = min(next_dp[next_score], next_cost)\n        dp = next_dp\n    return dp[M - 1]\n\n\nprint(solve(roulettes))",
                "from collections import defaultdict\nfrom itertools import count\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor _ in range(N):\n    C, P, *S = map(int, input().split())\n    S = sum(S) / P\n    roulettes.append((C, S))\n\nroulettes.sort(key=lambda x: x[1], reverse=True)\n\ndp = [defaultdict(lambda: float(\"inf\")) for _ in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    C, S = roulettes[i]\n    for j in range(M + 1):\n        for k in count(1):\n            next_j = min(M, j + k * S)\n            cost = k * C\n            dp[i + 1][next_j] = min(dp[i + 1][next_j], dp[i][j] + cost)\n\nprint(dp[N][M])",
                "from collections import defaultdict\nfrom itertools import count\nfrom operator import itemgetter\n\nN, M = map(int, input().split())\n\nroulettes = []\nfor _ in range(N):\n    C, P, *S = map(int, input().split())\n    S = sum(S) / P\n    roulettes.append((C, S))\n\nroulettes.sort(key=itemgetter(1), reverse=True)\n\ndp = [defaultdict(float, {0: 0}) for _ in range(N)]\nfor i, (C, S) in enumerate(roulettes):\n    for j in range(i):\n        dp[i][M] = min(dp[i][M], dp[j][M])\n    for k in range(M, 0, -1):\n        dp[i][k - 1] = min(dp[i][k - 1], dp[i][k] + C)\n        for j in range(i):\n            dp[i][k - 1] = min(dp[i][k - 1], dp[j][k - S] + C)\n\nans = min((dp[i][0] for i in range(N)))\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nn = int(input())\np = [int(x) for x in input().split()]\nq = [int(x) for x in input().split()]\nfor i in range(n - 2):\n    p[i] -= 1\n    q[i] -= 1\ndp = [1] * n\nfor i in range(n - 1):\n    a = p[i]\n    b = q[i]\n    dp[a] = (dp[a] * (i + 2) - dp[b] * (i + 2 - dp[b])) % mod\n    dp[b] = (dp[b] * (i + 2) + dp[a] * (i + 2 - dp[a])) % mod\n    dp[a] = (dp[a] * (i + 2) + dp[b] * (i + 2 - dp[b])) % mod\n    dp[b] = (dp[b] * (i + 2) - dp[a] * (i + 2 - dp[a])) % mod\n    dp[a] = (dp[a] + dp[b]) % mod\n    dp[b] = (dp[b] + dp[a]) % mod\nprint(*dp)",
                "def main():\n    mod = 998244353\n    n = int(input())\n    p, q = [int(x) for x in input().split()]\n    p, q = [p - 1], [q - 1]\n    for _ in range(n - 2):\n        p_, q_ = [int(x) for x in input().split()]\n        p_, q_ = p_ - 1, q_ - 1\n        p.append(p_)\n        q.append(q_)\n    p, q = [0] + p, [0] + q\n    dp = [[1, 1] for _ in range(n + 1)]\n    for i in range(n - 1, 0, -1):\n        a, b = dp[p[i]][0], dp[q[i]][0]\n        c = (a + b) % mod\n        dp[p[i]][0] = c\n        dp[q[i]][0] = c\n        dp[p[i]][1] = (a * (i + a) % mod + b * (i + b) % mod) * pow(c, mod - 2, mod) % mod\n        dp[q[i]][1] = (b * (i + a) % mod + a * (i + b) % mod) * pow(c, mod - 2, mod) % mod\n    print(\" \".join(str(dp[i][1]) for i in range(1, n + 1)))\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\n\ndef add(a, b):\n    return (a + b) % mod\n\n\ndef sub(a, b):\n    return (a - b) % mod\n\n\ndef mul(a, b):\n    return a * b % mod\n\n\ndef power(a, b):\n    ans = 1\n    while b:\n        if b & 1:\n            ans = mul(ans, a)\n        a = mul(a, a)\n        b >>= 1\n    return ans\n\n\ndef inverse(a):\n    return power(a, mod - 2)\n\n\ndef solve():\n    n = int(input())\n    p = [int(x) for x in input().split()]\n    q = [int(x) for x in input().split()]\n    dp = [1] * (n + 1)\n    for i in range(n - 1):\n        a = dp[p[i] - 1]\n        b = dp[q[i] - 1]\n        dp[p[i] - 1] = add(a, mul(b, inverse(add(a, b))))\n        dp[q[i] - 1] = add(a, b)\n    print(*dp[1:])\n\n\nsolve()",
                "def main():\n    mod = 998244353\n    n = int(input())\n    p, q = [int(x) for x in input().split()]\n    p, q = [p - 1], [q - 1]\n    for _ in range(n - 2):\n        p.append(int(input().split()[0]) - 1)\n        q.append(int(input().split()[1]) - 1)\n    dp = [1] * n\n    for i in range(n - 1):\n        a = dp[p[i]]\n        b = dp[q[i]]\n        dp[p[i]] = (a * (a + b) % mod) * (i + 1) % mod\n        dp[q[i]] = (b * (a + b) % mod) * (i + 1) % mod\n        dp[p[i]] %= mod\n        dp[q[i]] %= mod\n        dp[p[i]] += dp[q[i]]\n        dp[p[i]] %= mod\n        dp[q[i + 1]] = dp[p[i]]\n    print(\" \".join(str(x) for x in dp))\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\n\ndef add(a, b):\n    return (a + b) % mod\n\n\ndef mul(a, b):\n    return a * b % mod\n\n\ndef sub(a, b):\n    return (a - b + mod) % mod\n\n\ndef inv(x):\n    return pow(x, mod - 2, mod)\n\n\ndef main():\n    n = int(input())\n    p, q = [int(x) for x in input().split()]\n    p, q = [p - 1], [q - 1]\n    for _ in range(n - 2):\n        x, y = [int(x) for x in input().split()]\n        p.append(x - 1)\n        q.append(y - 1)\n    dp = [[1, 1]]\n    for i in range(n - 1):\n        x, y = p[i], q[i]\n        a, b = dp[-1]\n        c = mul(a, x + 1)\n        d = mul(b, y + 1)\n        e = add(c, d)\n        c = mul(c, inv(x + y + 2))\n        d = mul(d, inv(x + y + 2))\n        e = mul(e, inv(x + y + 2))\n        dp.append([add(c, d), e])\n    ans = [0] * n\n    for i in range(n):\n        ans[i] = mul(dp[i][0], dp[i][1])\n    print(*ans)\n\n\nmain()",
                "from sys import stdin\n\ninput = stdin.readline\nmod = 998244353\nN = int(input())\nP = [int(x) for x in input().split()]\nQ = [int(x) for x in input().split()]\n\nparent = [i for i in range(N + 1)]\nrank = [0] * (N + 1)\n\n\ndef find(x):\n    if parent[x] == x:\n        return x\n    parent[x] = find(parent[x])\n    return parent[x]\n\n\ndef union(x, y):\n    px = find(x)\n    py = find(y)\n    if rank[px] > rank[py]:\n        parent[py] = px\n    elif rank[px] < rank[py]:\n        parent[px] = py\n    else:\n        parent[px] = py\n        rank[py] += 1\n\n\nfor i in range(N - 1):\n    union(P[i], Q[i])\n\nsize = [0] * (N + 1)\nfor i in range(1, N + 1):\n    size[find(i)] += 1\n\nans = [0] * (N + 1)\nfor i in range(1, N + 1):\n    ans[find(i)] = (ans[find(i)] + (size[find(i)] * (size[find(i)] + 1)) // 2) % mod)\n\nfor i in range(1, N + 1):\n    print(ans[find(i)], end=\" \")",
                "def main():\n    mod = 998244353\n    n = int(input())\n    p, q = [int(x) for x in input().split()] - 1\n    dp = [1] * n\n    for _ in range(n - 2):\n        p, q = [p - 1, q - 1] if (p, q) != (0, 0) else [n - 2, n - 1]\n        x, y = dp[p], dp[q]\n        dp[p], dp[q] = (x + y) * (x + y + 1) // 2 % mod, 0\n        dp[p] -= dp[q]\n        dp[q] = x + y\n    print(\" \".join(str(x * x % mod) for x in dp))\n\n\nmain()",
                "def main():\n    mod = 998244353\n    n = int(input())\n    p, q = [int(x) for x in input().split()] - 1\n    p, q = [p], [q]\n    for _ in range(n - 2):\n        p_i, q_i = map(int, input().split())\n        p_i, q_i = p_i - 1, q_i - 1\n        p.append(p_i)\n        q.append(q_i)\n    p = [1] * n\n    for i in range(n - 1):\n        p[p[q[i]]] += p[q[i]]\n        p[p[i]] += p[i]\n    print(*[x * pow(p[i], mod - 2, mod) % mod for i in range(n)])\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\n\ndef add(a, b):\n    return (a + b) % mod\n\n\ndef mul(a, b):\n    return a * b % mod\n\n\ndef sub(a, b):\n    return (a - b + mod) % mod\n\n\ndef inv(x):\n    return pow(x, mod - 2, mod)\n\n\ndef main():\n    n = int(input())\n    p, q = [int(x) for x in input().split()]\n    p.append(q)\n    q.append(p[0])\n    p = p[1:]\n    q = q[1:]\n    cnt = [1] * (n + 1)\n    for i in range(n - 2):\n        a = p[i]\n        b = q[i]\n        c = p[i] + q[i]\n        cnt[a] = mul(cnt[a], c)\n        cnt[b] = mul(cnt[b], c)\n        cnt[c] = add(cnt[c], mul(cnt[a], cnt[b]))\n        cnt[c] = mul(cnt[c], inv(c))\n        cnt[a] = mul(cnt[a], sub(1, c))\n        cnt[b] = mul(cnt[b], sub(1, c))\n        cnt[a] = mul(cnt[a], inv(a))\n        cnt[b] = mul(cnt[b], inv(b))\n    print(*cnt[1:])\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\n\ndef add(a, b):\n    return (a + b) % mod\n\n\ndef sub(a, b):\n    return (a - b + mod) % mod\n\n\ndef mul(a, b):\n    return a * b % mod\n\n\ndef power(a, b):\n    ans = 1\n    while b:\n        if b & 1:\n            ans = mul(ans, a)\n        a = mul(a, a)\n        b >>= 1\n    return ans\n\n\ndef inverse(a):\n    return power(a, mod - 2)\n\n\ndef solve(n, p, q):\n    prob = [1] * n\n    for i in range(n - 1):\n        a = prob[p[i] - 1]\n        b = prob[q[i] - 1]\n        prob[p[i] - 1] = mul(a, add(a, b))\n        prob[q[i] - 1] = mul(b, add(a, b))\n    inv = inverse(2)\n    ans = [0] * n\n    for i in range(n):\n        ans[i] = mul(prob[i], inv)\n    return ans\n\n\nn = int(input())\np = []\nq = []\nfor i in range(n - 1):\n    a, b = map(int, input().split())\n    p.append(a)\n    q.append(b)\nprint(*solve(n, p, q))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\r\ns = \"\".join([i for i in s if i not in \"aeiou\"])\r\nprint(s)",
                "s = input()\r\ns = \"\".join(c for c in s if c not in \"aeiou\")\r\nprint(s)",
                "s = input()\r\ns = \"\".join([i for i in s if i not in \"aeiou\"])\r\nprint(s)",
                "s = input()\r\ns = \"\".join([i for i in s if i not in \"aeiou\"])\r\nprint(s)",
                "s = input()\r\ns = \"\".join([i for i in s if i not in \"aeiou\"])\r\nprint(s)",
                "s = input()\r\ns = \"\".join([i for i in s if i not in \"aeiou\"])\r\nprint(s)",
                "s = input()\r\ns = \"\".join(i for i in s if i not in \"aeiou\")\r\nprint(s)",
                "s = input()\r\ns = \"\".join(i for i in s if i not in \"aeiou\")\r\nprint(s)",
                "s = input()\r\nprint(\"\".join([i for i in s if i not in \"aeiou\"]))",
                "s = input()\r\ns = \"\".join([i for i in s if i not in \"aeiou\"])\r\nprint(s)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "m = int(input())\nd = list(map(int, input().split()))\nc = 0\nfor i in range(m):\n    c += d[i]\n    if c % 2 == 1:\n        print(i + 1, c // 2 + 1)\n        break\n    else:\n        c += 1",
                "m = int(input())\nd = list(map(int, input().split()))\ns = sum(d)\nfor i in range(m):\n    if s // 2 <= d[i]:\n        print(i + 1, s // 2 - d[:i] | 1)\n        break\n    s -= d[i]",
                "m = int(input())\r\nd = list(map(int, input().split()))\r\ns = sum(d)\r\nfor i in range(m):\r\n    if s <= (s + 1) // 2:\r\n        print(i + 1, (s + 1) // 2 - sum(d[:i]) + 1)\r\n        break\r\n    s -= d[i]\r",
                "m = int(input())\r\nd = list(map(int, input().split()))\r\ns = 0\r\nfor i in range(m):\r\n    s += d[i]\r\n    if s >= (sum(d) + 1) // 2:\r\n        print(i + 1, s - (sum(d) + 1) // 2)\r\n        break\r",
                "m = int(input())\r\nd = list(map(int, input().split()))\r\ns = 0\r\nfor i in range(m):\r\n    s += d[i]\r\n    if s >= (sum(d) + 1) // 2:\r\n        print(i + 1, s - (sum(d) + 1) // 2)\r\n        break\r",
                "m = int(input())\r\nd = list(map(int, input().split()))\r\n\r\ns = 0\r\nfor i in range(m):\r\n    s += d[i]\r\n    if s % 2 == 1:\r\n        print(i + 1, s // 2)\r\n        break\r\nelse:\r\n    print(m, s // 2 + 1)\r",
                "m = int(input())\nd = list(map(int, input().split()))\ns = sum(d) // 2\nfor i in range(m):\n    if d[i] >= s:\n        print(i + 1, s - (sum(d[:i]) + 1) + 1)\n        break\n    else:\n        s -= d[i]",
                "m = int(input())\nd = list(map(int, input().split()))\ns = 0\nfor i in range(m):\n    s += d[i]\n    if s > (sum(d) + 1) // 2:\n        break\nprint(i + 1, s - (sum(d) + 1) // 2)",
                "m = int(input())\r\nd = list(map(int, input().split()))\r\ns = 0\r\nfor i in range(m):\r\n    s += d[i]\r\n    if s >= (sum(d) + 1) // 2:\r\n        print(i + 1, s - (sum(d) + 1) // 2)\r\n        break\r",
                "m = int(input())\r\nd = list(map(int, input().split()))\r\ns = 0\r\nfor i in range(m):\r\n    s += d[i]\r\n    if s >= (sum(d) + 1) // 2:\r\n        print(i + 1, s - (sum(d) + 1) // 2)\r\n        break\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\n\nflavor = {}\nfor i in range(n):\n    f, s = map(int, input().split())\n    if f not in flavor:\n        flavor[f] = []\n    flavor[f].append(s)\n\nans = 0\nfor f in flavor:\n    flavor[f].sort(reverse=True)\n    ans = max(ans, flavor[f][0] + flavor[f][1] // 2)\n    for i in range(len(flavor[f])):\n        for j in range(i + 1, len(flavor[f])):\n            ans = max(ans, flavor[f][i] + flavor[f][j])\n\nprint(ans)",
                "n = int(input())\nf = []\ns = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    f.append(a)\n    s.append(b)\nf.sort()\ns.sort(reverse=True)\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        if f[i] != f[j]:\n            ans = max(ans, s[i] + s[j])\n        else:\n            ans = max(ans, s[i] + s[j] // 2)\nprint(ans)",
                "n = int(input())\n\ndata = []\nfor i in range(n):\n    data.append(list(map(int, input().split())))\n\ndata.sort(key=lambda x: x[1])\n\nmax_satisfaction = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        if data[i][0] == data[j][0]:\n            max_satisfaction = max(max_satisfaction, data[i][1] + data[j][1] // 2)\n        else:\n            max_satisfaction = max(max_satisfaction, data[i][1] + data[j][1])\n\nprint(max_satisfaction)",
                "n = int(input())\nf = []\ns = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    f.append(a)\n    s.append(b)\n\nf.sort()\ns.sort(reverse=True)\n\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        if f[i] != f[j]:\n            ans = max(ans, s[i] + s[j])\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if f[i] == f[j]:\n            ans = max(ans, s[i] + s[j] // 2)\n\nprint(ans)",
                "n = int(input())\n\nflavors = {}\nfor _ in range(n):\n    f, s = map(int, input().split())\n    if f not in flavors:\n        flavors[f] = []\n    flavors[f].append(s)\n\nans = 0\nfor f in flavors:\n    flavors[f].sort(reverse=True)\n    if len(flavors[f]) >= 2:\n        ans = max(ans, flavors[f][0] + flavors[f][1] // 2)\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if flavors[i][0] > flavors[j][0]:\n            flavors[i][0], flavors[j][0] = flavors[j][0], flavors[i][0]\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if flavors[i][0] + flavors[j][0] > ans:\n            ans = flavors[i][0] + flavors[j][0]\n\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((x, y))\na.sort(key=lambda x: x[1])\nmax_sat = 0\nfor i in range(n - 1):\n    for j in range(i + 1, n):\n        if a[i][0] == a[j][0]:\n            max_sat = max(max_sat, a[i][1] + a[j][1] // 2)\n        else:\n            max_sat = max(max_sat, a[i][1] + a[j][1])\nprint(max_sat)",
                "n = int(input())\n\nflavors = {}\nfor _ in range(n):\n    f, s = map(int, input().split())\n    if f not in flavors:\n        flavors[f] = []\n    flavors[f].append(s)\n\nmax_satisfaction = 0\nfor f in flavors:\n    flavors[f].sort(reverse=True)\n    if len(flavors[f]) >= 2:\n        max_satisfaction = max(max_satisfaction, flavors[f][0] + flavors[f][1] // 2)\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if flavors[i] != flavors[j]:\n            max_satisfaction = max(max_satisfaction, flavors[i][0] + flavors[j][0])\n\nprint(max_satisfaction)",
                "n = int(input())\n\nflavor = {}\n\nfor i in range(n):\n    f, s = map(int, input().split())\n    if f not in flavor:\n        flavor[f] = []\n    flavor[f].append(s)\n\nans = 0\n\nfor f in flavor:\n    flavor[f].sort(reverse=True)\n    if len(flavor[f]) >= 2:\n        ans = max(ans, flavor[f][0] + flavor[f][1] // 2)\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if flavor[i] != flavor[j]:\n            ans = max(ans, flavor[i][0] + flavor[j][0])\n            break\n\nprint(ans)",
                "n = int(input())\n\nflavors = {}\nfor _ in range(n):\n    f, s = map(int, input().split())\n    if f not in flavors:\n        flavors[f] = []\n    flavors[f].append(s)\n\nans = 0\nfor f in flavors:\n    flavors[f].sort(reverse=True)\n    if len(flavors[f]) >= 2:\n        ans = max(ans, flavors[f][0] + flavors[f][1] // 2)\n    for i in range(len(flavors[f])):\n        for j in range(i):\n            for k in flavors:\n                if k != f and len(flavors[k]) >= 1:\n                    ans = max(ans, flavors[f][i] + flavors[f][j] + flavors[k][0])\n\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((x, y))\na.sort(key=lambda x: x[1], reverse=True)\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i][0] == a[j][0]:\n            ans = max(ans, a[i][1] + a[j][1] // 2)\n        else:\n            ans = max(ans, a[i][1] + a[j][1])\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\n\nfield = []\n\nfor _ in range(H):\n    field.append(input().rstrip())\n\nrow = [False] * W\ncol = [False] * W\n\nwhile True:\n    for i in range(H):\n        if not row[i]:\n            continue\n        c = field[i][0]\n        flag = True\n        for j in range(W):\n            if field[i][j] != c:\n                flag = False\n                break\n        if flag:\n            for j in range(W):\n                row[j] = True\n\n    for j in range(W):\n        if not col[j]:\n            continue\n        c = field[0][j]\n        flag = True\n        for i in range(H):\n            if field[i][j] != c:\n                flag = False\n                break\n        if flag:\n            for i in range(H):\n                col[i] = True\n\n    if not any(row) and not any(col):\n        break\n\n    for i in range(H):\n        for j in range(W):\n            if row[j] or col[i]:\n                field[i] = field[i][:j] + field[i][j + 1 :]\n\n    for i in range(H):\n        row[i] = False\n    for j in range(W):\n        col[j] = False\n\nprint(sum(len(s) for s in field))",
                "from collections import defaultdict\n\nH, W = map(int, input().split())\ngrid = [input() for _ in range(H)]\n\nrow = defaultdict(int)\ncol = defaultdict(int)\n\nwhile True:\n    for i in range(H):\n        c = grid[i][0]\n        cnt = 0\n        for j in range(W):\n            if grid[i][j] == c:\n                cnt += 1\n            else:\n                break\n        if cnt >= 2:\n            row[i] = 1\n\n    for j in range(W):\n        c = grid[0][j]\n        cnt = 0\n        for i in range(H):\n            if grid[i][j] == c:\n                cnt += 1\n            else:\n                break\n        if cnt >= 2:\n            col[j] = 1\n\n    if not row and not col:\n        break\n\n    for i in range(H):\n        if row[i]:\n            for j in range(W):\n                grid[i][j] = \".\"\n\n    for j in range(W):\n        if col[j]:\n            for i in range(H):\n                grid[i][j] = \".\"\n\n    for i in range(H):\n        row[i] = 0\n\n    for j in range(W):\n        col[j] = 0\n\nprint(sum(sum(r == \".\" for r in g) for g in grid))",
                "h, w = map(int, input().split())\n\ngrid = []\nfor _ in range(h):\n    grid.append(input())\n\nrow = [False] * h\ncol = [False] * w\n\nwhile True:\n    for i in range(h):\n        if not row[i]:\n            color = grid[i][0]\n            flag = True\n            for j in range(w):\n                if grid[i][j] != color:\n                    flag = False\n                    break\n            if flag:\n                for j in range(w):\n                    if not col[j]:\n                        col[j] = True\n                row[i] = True\n\n    for j in range(w):\n        if not col[j]:\n            color = grid[0][j]\n            flag = True\n            for i in range(h):\n                if grid[i][j] != color:\n                    flag = False\n                    break\n            if flag:\n                for i in range(h):\n                    if not row[i]:\n                        row[i] = True\n                col[j] = True\n\n    if not any(row) and not any(col):\n        break\n\n    for i in range(h):\n        if row[i]:\n            for j in range(w):\n                grid[i][j] = \".\"\n\n    for j in range(w):\n        if col[j]:\n            for i in range(h):\n                grid[i][j] = \".\"\n\n    for i in range(h):\n        row[i] = False\n\n    for j in range(w):\n        col[j] = False\n\nprint(sum(1 for i in range(h) for j in range(w) if grid[i][j] != \".\"))",
                "from collections import Counter\n\nH, W = map(int, input().split())\ngrid = [input() for _ in range(H)]\n\nrow_counts = [Counter(row) for row in grid]\ncol_counts = [Counter(col) for col in zip(*grid)]\n\nwhile True:\n    row_remove = False\n    col_remove = False\n    for i in range(H):\n        if len(row_counts[i]) == 1:\n            row_remove = True\n            del row_counts[i]\n            del grid[i]\n            H -= 1\n\n    for j in range(W):\n        if len(col_counts[j]) == 1:\n            col_remove = True\n            del col_counts[j]\n            for i in range(H):\n                del grid[i][j]\n            W -= 1\n\n    if not (row_remove or col_remove):\n        break\n\nprint(sum(len(c) for c in row_counts) + sum(len(c) for c in col_counts))",
                "from collections import defaultdict\n\nh, w = map(int, input().split())\ngrid = [input() for _ in range(h)]\n\nrow = defaultdict(int)\ncol = defaultdict(int)\n\nwhile True:\n    for i in range(h):\n        c = grid[i][0]\n        flag = True\n        for j in range(w):\n            if grid[i][j] != c:\n                flag = False\n                break\n        if flag:\n            for j in range(w):\n                row[i, j] += 1\n                col[i, j] += 1\n\n    for j in range(w):\n        c = grid[0][j]\n        flag = True\n        for i in range(h):\n            if grid[i][j] != c:\n                flag = False\n                break\n        if flag:\n            for i in range(h):\n                row[i, j] += 1\n                col[i, j] += 1\n\n    cnt = 0\n    for i in range(h):\n        for j in range(w):\n            if row[i, j] == 1 and col[i, j] == 1:\n                cnt += 1\n\n    if cnt == h * w:\n        break\n\n    for i in range(h):\n        for j in range(w):\n            if row[i, j] > 1:\n                grid[i][j] = \".\"\n\n    for j in range(w):\n        for i in range(h):\n            if col[i, j] > 1:\n                grid[i][j] = \".\"\n\nprint(cnt)",
                "from collections import defaultdict\n\nH, W = map(int, input().split())\ngrid = [input() for _ in range(H)]\n\nrow = defaultdict(int)\ncol = defaultdict(int)\n\nwhile True:\n    for i in range(H):\n        c = grid[i][0]\n        flag = True\n        for j in range(W):\n            if grid[i][j] != c:\n                flag = False\n                break\n        if flag:\n            for j in range(W):\n                row[i, j] += 1\n                col[i, j] += 1\n\n    for j in range(W):\n        c = grid[0][j]\n        flag = True\n        for i in range(H):\n            if grid[i][j] != c:\n                flag = False\n                break\n        if flag:\n            for i in range(H):\n                row[i, j] += 1\n                col[i, j] += 1\n\n    cnt = 0\n    for i in range(H):\n        for j in range(W):\n            if row[i, j] == 1 and col[i, j] == 1:\n                cnt += 1\n\n    if cnt == H * W:\n        break\n\n    for i in range(H):\n        for j in range(W):\n            if row[i, j] > 1:\n                grid[i][j] = \".\"\n\n    for j in range(W):\n        for i in range(H):\n            if col[i, j] > 1:\n                grid[i][j] = \".\"\n\nprint(cnt)",
                "from collections import defaultdict\n\nH, W = map(int, input().split())\n\ngrid = [input() for _ in range(H)]\n\nrow = defaultdict(int)\ncol = defaultdict(int)\n\nwhile True:\n    for i in range(H):\n        c = grid[i][0]\n        cnt = sum(1 for cj in grid[i] if cj == c)\n        if cnt >= 2:\n            row[i] = c\n    for j in range(W):\n        c = grid[0][j]\n        cnt = sum(1 for ci in grid if grid[ci][j] == c)\n        if cnt >= 2:\n            col[j] = c\n\n    if not row and not col:\n        break\n\n    for i in range(H):\n        if i in row:\n            for j in range(W):\n                grid[i][j] = \".\"\n    for j in range(W):\n        if j in col:\n            for i in range(H):\n                grid[i][j] = \".\"\n\n    for i in range(H):\n        if not grid[i]:\n            del grid[i]\n\n    for j in range(W):\n        if not grid[0][j]:\n            for i in range(H):\n                del grid[i][j]\n\n    H, W = len(grid), len(grid[0])\n\nprint(sum(sum(1 for c in row) for row in grid))",
                "from collections import Counter\n\n(H, W) = map(int, input().split())\ngrid = [input() for _ in range(H)]\n\nrow = [Counter(row) for row in grid]\ncol = [Counter(col) for col in zip(*grid)]\n\nwhile True:\n    row_remove = []\n    col_remove = []\n    for i, r in enumerate(row):\n        if len(r) == 1:\n            row_remove.append(i)\n    for i, c in enumerate(col):\n        if len(c) == 1:\n            col_remove.append(i)\n\n    if not row_remove and not col_remove:\n        break\n\n    for i in row_remove:\n        del row[i]\n    for i in col_remove:\n        del col[i]\n\n    if not row:\n        break\n    if not col:\n        break\n\n    grid = [list(row) for row in zip(*col)]\n    row = [Counter(row) for row in grid]\n    col = [Counter(col) for col in zip(*grid)]\n\nprint(sum(len(c) for c in row))",
                "from collections import Counter\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\n\nrow = [Counter(row) for row in grid]\ncol = [Counter(col) for col in zip(*grid)]\n\nwhile True:\n    remove = False\n    for r in row:\n        if len(r) == 1:\n            remove = True\n            for c in col:\n                c[r.popitem()[0]] -= 1\n    for c in col:\n        if len(c) == 1:\n            remove = True\n            for r in row:\n                r[c.popitem()[0]] -= 1\n    if not remove:\n        break\n\nprint(sum(r.values()) * sum(c.values()) for r, c in zip(row, col))",
                "h, w = map(int, input().split())\n\ngrid = []\nfor _ in range(h):\n    grid.append(input())\n\nrow_colors = set(grid[0])\ncol_colors = set(grid[0])\n\nfor i in range(h):\n    row = grid[i]\n    row_color = set(row)\n    if len(row_color) == 1:\n        row_colors.discard(row_color.pop())\n\nfor j in range(w):\n    col = [grid[i][j] for i in range(h)]\n    col_color = set(col)\n    if len(col_color) == 1:\n        col_colors.discard(col_color.pop())\n\nprint(len(row_colors) * len(col_colors))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\nindegree = [0] * (n + 1)\n\nfor i in range(n):\n    c, *ps = map(int, input().split())\n    for p in ps:\n        graph[p].append(i + 1)\n        indegree[i + 1] += 1\n\nq = deque([i for i in range(1, n + 1) if indegree[i] == 0])\n\nans = []\nwhile q:\n    v = q.popleft()\n    ans.append(v)\n    for u in graph[v]:\n        indegree[u] -= 1\n        if indegree[u] == 0:\n            q.append(u)\n\nprint(*ans)",
                "from collections import deque\n\nN = int(input())\n\nC = [list(map(int, input().split())) for _ in range(N)]\n\nG = [[] for _ in range(N + 1)]\n\nfor c, p in C:\n    G[p].append(c)\n\nQ = deque([(0, 1)])\n\nans = []\n\nwhile Q:\n    c, p = Q.popleft()\n    if p == 1:\n        ans.append(c)\n    else:\n        for q in G[p]:\n            Q.append((q, p))\n\nprint(\" \".join(map(str, ans[::-1])))",
                "from collections import deque\n\nN = int(input())\n\nG = [[] for _ in range(N)]\nin_degree = [0] * N\n\nfor i in range(N):\n    C, *P = map(int, input().split())\n    for p in P:\n        G[p - 1].append(i)\n        in_degree[i] += 1\n\nQ = deque([i for i in range(N) if in_degree[i] == 0])\n\nans = []\nwhile Q:\n    v = Q.popleft()\n    ans.append(v + 1)\n    for w in G[v]:\n        in_degree[w] -= 1\n        if in_degree[w] == 0:\n            Q.append(w)\n\nprint(*ans)",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\nindeg = [0] * (n + 1)\n\nfor i in range(n):\n    c, *ps = map(int, input().split())\n    for p in ps:\n        graph[p].append(i + 1)\n        indeg[i + 1] += 1\n\nq = deque([i for i in range(1, n + 1) if indeg[i] == 0])\n\nans = []\nwhile q:\n    v = q.popleft()\n    ans.append(v)\n    for u in graph[v]:\n        indeg[u] -= 1\n        if indeg[u] == 0:\n            q.append(u)\n\nprint(*ans[::-1])",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\nindegree = [0] * (n + 1)\n\nfor i in range(n):\n    c, *ps = map(int, input().split())\n    for p in ps:\n        graph[p].append(i + 1)\n        indegree[i + 1] += 1\n\nq = deque([i for i in range(1, n + 1) if indegree[i] == 0])\n\nans = []\nwhile q:\n    v = q.popleft()\n    ans.append(v)\n    for u in graph[v]:\n        indegree[u] -= 1\n        if indegree[u] == 0:\n            q.append(u)\n\nprint(*ans[1:])",
                "from collections import deque\n\nN = int(input())\n\nG = [[] for _ in range(N)]\nindeg = [0] * N\nfor i in range(N):\n    C, *P = map(int, input().split())\n    for p in P:\n        G[p - 1].append(i)\n        indeg[i] += 1\n\nQ = deque([i for i in range(N) if indeg[i] == 0])\n\nans = []\nwhile Q:\n    v = Q.popleft()\n    ans.append(v + 1)\n    for w in G[v]:\n        indeg[w] -= 1\n        if indeg[w] == 0:\n            Q.append(w)\n\nprint(*ans)",
                "from collections import deque\n\nN = int(input())\nC = [list(map(int, input().split())) for _ in range(N)]\n\ngraph = [[] for _ in range(N + 1)]\nindeg = [0] * (N + 1)\n\nfor c, p in C:\n    for pi in p:\n        graph[pi].append(c + 1)\n        indeg[c + 1] += 1\n\nq = deque([i for i in range(1, N + 1) if indeg[i] == 0])\n\nans = []\nwhile q:\n    v = q.popleft()\n    ans.append(v)\n    for nv in graph[v]:\n        indeg[nv] -= 1\n        if indeg[nv] == 0:\n            q.append(nv)\n\nprint(*ans[::-1])",
                "from collections import deque\n\nN = int(input())\n\nG = [[] for _ in range(N)]\nindeg = [0] * N\nfor i in range(N):\n    C, *P = list(map(int, input().split()))\n    for p in P:\n        G[p - 1].append(i)\n        indeg[i] += 1\n\nQ = deque([i for i in range(N) if indeg[i] == 0])\nans = []\nwhile Q:\n    v = Q.popleft()\n    ans.append(v + 1)\n    for w in G[v]:\n        indeg[w] -= 1\n        if indeg[w] == 0:\n            Q.append(w)\n\nprint(*ans)",
                "from collections import deque\r\n\r\nn = int(input())\r\ngraph = [[] for _ in range(n + 1)]\r\nindeg = [0] * (n + 1)\r\n\r\nfor i in range(n):\r\n    c, *ps = map(int, input().split())\r\n    for p in ps:\r\n        graph[p].append(i + 1)\r\n        indeg[i + 1] += 1\r\n\r\nq = deque([i for i in range(1, n + 1) if indeg[i] == 0])\r\nans = []\r\nwhile q:\r\n    v = q.popleft()\r\n    ans.append(v)\r\n    for u in graph[v]:\r\n        indeg[u] -= 1\r\n        if indeg[u] == 0:\r\n            q.append(u)\r\n\r\nprint(*ans)\r",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\nindegree = [0] * (n + 1)\n\nfor i in range(n):\n    c, *p = map(int, input().split())\n    for j in p:\n        graph[j].append(i + 1)\n        indegree[i + 1] += 1\n\nq = deque([i for i in range(1, n + 1) if indegree[i] == 0])\n\nans = []\nwhile q:\n    v = q.popleft()\n    ans.append(v)\n    for w in graph[v]:\n        indegree[w] -= 1\n        if indegree[w] == 0:\n            q.append(w)\n\nprint(*ans[1:])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nXY = [list(map(int, input().split())) for i in range(N)]\n\nINF = 10**10\ndp = [[INF] * 2 for i in range(N)]\ndp[0][0] = 0\n\nfor i in range(N):\n    x, y = XY[i]\n    for j in range(i + 1):\n        if j > 0:\n            nx, ny = XY[j - 1]\n            d = ((x - nx) ** 2 + (y - ny) ** 2) ** 0.5\n            dp[i][0] = min(dp[i][0], dp[j - 1][1] + d)\n        dp[i][1] = min(dp[i][1], dp[j][0])\n\nans = min(dp[N - 1])\n\nfor i in range(N - 2, -1, -1):\n    ans += (dp[i][0] - dp[i][1]) ** 0.5\n    ans = min(ans, dp[i][1] + (2 ** (N - 1 - i)))\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nX = [0] * N\nY = [0] * N\n\nfor i in range(N):\n    x, y = map(int, input().split())\n    X[i] = x\n    Y[i] = y\n\ndp = [[0] * N for _ in range(N)]\n\nfor i in range(N):\n    dp[i][i] = 0\n\nfor i in range(N - 2, -1, -1):\n    for j in range(i + 1, N):\n        dp[i][j] = min(\n            dp[i][j - 1] + (j - 1 - i) ** 0.5, dp[i + 1][j] + (j - i) ** 0.5\n        )\n\nans = dp[0][N - 1]\n\nfor i in range(1, N):\n    ans = min(ans, dp[0][i - 1] + dp[i][N - 1] + 2 ** (N - i - 1) ** 0.5)\n\nprint(ans)",
                "from math import sqrt\n\nn = int(input())\nxy = [list(map(int, input().split())) for _ in range(n)]\n\ninf = 10**9\n\n\ndef dist(i, j):\n    return sqrt((xy[i][0] - xy[j][0]) ** 2 + (xy[i][1] - xy[j][1]) ** 2)\n\n\ndp = [[inf] * 2 for _ in range(n)]\ndp[0][0] = 0\nfor i in range(n):\n    for j in range(n):\n        if i != j:\n            dp[i][0] = min(dp[i][0], dp[j][0] + dist(i, j))\n            dp[i][1] = min(dp[i][1], dp[j][1] + dist(i, j))\n\nans = min(dp[n - 1]) + 2 ** (n - 1 - int(ans == dp[n - 1][1]))\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nXY = [list(map(int, input().split())) for i in range(N)]\n\nINF = 10**9\ndp = [[INF] * 2 for i in range(N)]\ndp[0][0] = 0\ndp[0][1] = 1\n\nfor i in range(1, N):\n    for j in range(2):\n        for k in range(i):\n            d = (XY[i][0] - XY[k][0]) ** 2 + (XY[i][1] - XY[k][1]) ** 2\n            if j == 0:\n                dp[i][0] = min(dp[i][0], dp[k][0] + d)\n                dp[i][1] = min(dp[i][1], dp[k][0] + d + 2 ** (i - k - 1))\n            else:\n                dp[i][1] = min(dp[i][1], dp[k][1] + d + 2 ** (i - k - 1))\n\nprint(min(dp[N - 1]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nXY = [list(map(int, input().split())) for i in range(N)]\n\nINF = 10**10\ndp = [[INF] * 2 for i in range(N)]\ndp[0][0] = 0\n\nfor i in range(N):\n    x, y = XY[i]\n    for j in range(i + 1, N):\n        dx, dy = XY[j]\n        d = ((dx - x) ** 2 + (dy - y) ** 2) ** 0.5\n        for k in range(2):\n            dp[j][k] = min(dp[j][k], dp[i][k] + d)\n            if i + 1 < j:\n                dp[j][k] = min(dp[j][k], dp[i][k ^ 1] + d + 2 ** (j - i - 2))\n\nprint(min(dp[N - 1]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nX = []\nY = []\n\nfor i in range(N):\n    x, y = map(int, input().split())\n    X.append(x)\n    Y.append(y)\n\ndp = [[float(\"inf\")] * (N + 1) for i in range(N + 1)]\n\ndp[0][0] = 0\n\nfor i in range(N):\n    x1, y1 = X[i], Y[i]\n    for j in range(i + 1, N):\n        x2, y2 = X[j], Y[j]\n        for k in range(i, j + 1):\n            x3, y3 = X[k], Y[k]\n            d = ((x2 - x1) ** 2 + (y2 - y1) ** 2) ** 0.5 + ((x3 - x2) ** 2 + (y3 - y2) ** 2) ** 0.5\n            dp[j][k] = min(dp[j][k], dp[i][k - 1] + d)\n\nans = float(\"inf\")\nfor i in range(N):\n    ans = min(ans, dp[N - 1][i] + 2 ** (N - i - 2))\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nX = [0] * N\nY = [0] * N\n\nfor i in range(N):\n    x, y = map(int, input().split())\n    X[i] = x\n    Y[i] = y\n\nINF = 10**18\ndp = [[INF] * 3 for _ in range(N)]\n\ndp[0][0] = 0\ndp[0][1] = 2\ndp[0][2] = 0\n\nfor i in range(1, N):\n    for j in range(3):\n        if j == 0:\n            for k in range(N):\n                if k != i:\n                    dp[i][0] = min(dp[i][0], dp[k][1] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n                    dp[i][0] = min(dp[i][0], dp[k][2] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n        elif j == 1:\n            for k in range(N):\n                if k != i:\n                    dp[i][1] = min(dp[i][1], dp[k][0] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n                    dp[i][1] = min(dp[i][1], dp[k][1] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n                    dp[i][1] = min(dp[i][1], dp[k][2] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n        else:\n            for k in range(N):\n                if k != i:\n                    dp[i][2] = min(dp[i][2], dp[k][0] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n                    dp[i][2] = min(dp[i][2], dp[k][2] + ((X[k] - X[i]) ** 2 + (Y[k] - Y[i]) ** 2) ** 0.5)\n\nans = min(dp[N - 1][0], dp[N - 1][1] + 2, dp[N - 1][2] + 4)\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nX = [0] * N\nY = [0] * N\n\nfor i in range(N):\n    x, y = map(int, input().split())\n    X[i] = x\n    Y[i] = y\n\nINF = 10**10\ndp = [[INF] * 3 for _ in range(N)]\n\ndp[0][0] = 0\ndp[0][1] = 0\ndp[0][2] = 0\n\nfor i in range(1, N):\n    for j in range(3):\n        if j == 0:\n            dp[i][j] = min(dp[i][j], dp[i - 1][j] + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n            dp[i][j] = min(dp[i][j], dp[i - 1][j + 1] + 2 ** (i - 1) + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n        elif j == 1:\n            dp[i][j] = min(dp[i][j], dp[i - 1][j] + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n            dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n            dp[i][j] = min(dp[i][j], dp[i - 1][j + 1] + 2 ** (i - 1) + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n        else:\n            dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n            dp[i][j] = min(dp[i][j], dp[i - 1][j] + abs(X[i] - X[i - 1]) + abs(Y[i] - Y[i - 1]))\n\nprint(min(dp[N - 1]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nX = [0] * N\nY = [0] * N\n\nfor i in range(N):\n    x, y = map(int, input().split())\n    X[i] = x\n    Y[i] = y\n\nINF = 10**10\n\ndp = [[0] * N for _ in range(N)]\n\nfor i in range(N):\n    dp[i][i] = 0\n\nfor i in range(N - 1, -1, -1):\n    for j in range(i + 1, N):\n        dp[i][j] = min(dp[i][k] + dp[k][j] + abs(X[i] - X[j]) + abs(Y[i] - Y[j]) for k in range(i + 1, j))\n\nans = dp[0][N - 1]\n\nfor i in range(N - 1):\n    ans = min(ans, dp[0][i] + dp[i + 1][N - 1] + 2 ** (N - i - 2))\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nXY = [list(map(int, input().split())) for _ in range(N)]\n\nINF = 10**9\n\ndp = [[INF] * 2 for _ in range(N)]\n\ndp[0][0] = 0\ndp[0][1] = 0\n\nfor i in range(N):\n    x, y = XY[i]\n    for j in range(i + 1, N):\n        dx, dy = XY[j]\n        d = ((dx - x) ** 2 + (dy - y) ** 2) ** 0.5\n        dp[j][0] = min(dp[j][0], dp[i][0] + d)\n        dp[j][1] = min(dp[j][1], dp[i][1] + d)\n        for k in range(2, N + 1):\n            dp[j][1] = min(dp[j][1], dp[i][0] + d + 2 ** (k - 1))\n\nprint(min(dp[N - 1]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)",
                "n, m, p = map(int, input().split())\nans = 0\nfor i in range(m, n + 1, p):\n    ans += 1\nprint(ans)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\n\nx = [0] * 101\ny = [0] * 101\n\nfor i in range(n):\n    a, b, c, d = map(int, input().split())\n    x[a] += 1\n    x[b] -= 1\n    y[c] += 1\n    y[d] -= 1\n\nans = 0\nfor i in range(101):\n    for j in range(101):\n        if x[i] + y[j] >= 2:\n            ans += 1\n\nprint(ans)",
                "n = int(input())\r\n\r\nx = []\r\ny = []\r\n\r\nfor i in range(n):\r\n    a, b, c, d = map(int, input().split())\r\n    x.append([a, b])\r\n    y.append([c, d])\r\n\r\nx.sort()\r\ny.sort()\r\n\r\narea = 0\r\n\r\nfor i in range(n):\r\n    area += (x[i][1] - x[i][0]) * (y[i][1] - y[i][0])\r\n\r\nfor i in range(1, n):\r\n    area -= max(0, min(x[i][1], x[i - 1][1]) - max(x[i][0], x[i - 1][0])) * (y[i][1] - y[i][0])\r\n    area -= max(0, min(y[i][1], y[i - 1][1]) - max(y[i][0], y[i - 1][0])) * (x[i][1] - x[i][0])\r\n\r\nprint(area)\r",
                "n = int(input())\r\n\r\nx = [0] * 101\r\ny = [0] * 101\r\n\r\nfor i in range(n):\r\n    a, b, c, d = map(int, input().split())\r\n    for j in range(a, b + 1):\r\n        x[j] += 1\r\n    for j in range(c, d + 1):\r\n        y[j] += 1\r\n\r\nans = 0\r\nfor i in range(101):\r\n    ans += x[i] * y[i]\r\n\r\nprint(ans)\r",
                "n = int(input())\r\n\r\nx = [0] * 101\r\ny = [0] * 101\r\n\r\nfor i in range(n):\r\n    a, b, c, d = map(int, input().split())\r\n    for j in range(a, b + 1):\r\n        x[j] += 1\r\n    for j in range(c, d + 1):\r\n        y[j] += 1\r\n\r\nans = 0\r\nfor i in range(101):\r\n    ans += x[i] * y[i]\r\n\r\nprint(ans)\r",
                "n = int(input())\r\n\r\nx = [0] * 101\r\ny = [0] * 101\r\n\r\nfor i in range(n):\r\n    a, b, c, d = map(int, input().split())\r\n    for j in range(a, b):\r\n        x[j] += 1\r\n    for j in range(c, d):\r\n        y[j] += 1\r\n\r\nans = 0\r\nfor i in range(101):\r\n    ans += x[i] * y[i]\r\n\r\nprint(ans)\r",
                "n = int(input())\r\nx = []\r\ny = []\r\nfor i in range(n):\r\n    a, b, c, d = map(int, input().split())\r\n    x.append([a, b])\r\n    y.append([c, d])\r\n\r\nx.sort()\r\ny.sort()\r\n\r\narea = 0\r\nfor i in range(n):\r\n    area += (x[i][1] - x[i][0]) * (y[i][1] - y[i][0])\r\n\r\nfor i in range(1, n):\r\n    area -= max(0, min(x[i][1], x[i - 1][1]) - max(x[i][0], x[i - 1][0])) * (y[i][1] - y[i][0])\r\n    area -= max(0, min(y[i][1], y[i - 1][1]) - max(y[i][0], y[i - 1][0])) * (x[i][1] - x[i][0])\r\n\r\nprint(area)\r",
                "n = int(input())\n\nx = []\ny = []\n\nfor i in range(n):\n    a, b, c, d = map(int, input().split())\n    x.append([a, b])\n    y.append([c, d])\n\nx.sort()\ny.sort()\n\narea = 0\n\nfor i in range(n):\n    area += (x[i][1] - x[i][0]) * (y[i][1] - y[i][0])\n\nfor i in range(1, n):\n    area -= max(0, min(x[i][1], x[i - 1][1]) - max(x[i][0], x[i - 1][0])) * (y[i][1] - y[i][0])\n    area -= max(0, min(y[i][1], y[i - 1][1]) - max(y[i][0], y[i - 1][0])) * (x[i][1] - x[i][0])\n\nprint(area)",
                "n = int(input())\n\nx = []\ny = []\nfor i in range(n):\n    a, b, c, d = map(int, input().split())\n    x.append([a, b])\n    y.append([c, d])\n\nx = sorted(x, key=lambda x: (x[1], x[0]))\ny = sorted(y, key=lambda y: (y[1], y[0]))\n\narea = 0\nx_prev = -100\ny_prev = -100\nfor i in range(n):\n    if x[i][0] > x_prev:\n        area += (x[i][0] - x_prev) * (y[i][1] - y_prev)\n    x_prev = x[i][1]\n    y_prev = y[i][1]\n\nprint(area)",
                "n = int(input())\n\nx = []\ny = []\nfor i in range(n):\n    a, b, c, d = map(int, input().split())\n    x.append([a, b])\n    y.append([c, d])\n\nx.sort()\ny.sort()\n\narea = 0\nfor i in range(n):\n    area += (x[i][1] - x[i][0]) * (y[i][1] - y[i][0])\n\nfor i in range(1, n):\n    area -= max(0, min(x[i][1], x[i - 1][1]) - max(x[i][0], x[i - 1][0])) * (y[i][1] - y[i][0])\n    area -= max(0, min(y[i][1], y[i - 1][1]) - max(y[i][0], y[i - 1][0])) * (x[i][1] - x[i][0])\n\nprint(area)",
                "n = int(input())\r\n\r\nx = []\r\ny = []\r\n\r\nfor i in range(n):\r\n    a, b, c, d = map(int, input().split())\r\n    x.append([a, b])\r\n    y.append([c, d])\r\n\r\nx.sort()\r\ny.sort()\r\n\r\narea = 0\r\n\r\nfor i in range(n):\r\n    area += (x[i][1] - x[i][0]) * (y[i][1] - y[i][0])\r\n\r\nfor i in range(1, n):\r\n    area -= max(0, min(x[i][1], x[i - 1][1]) - max(x[i][0], x[i - 1][0])) * (y[i][1] - y[i][0])\r\n    area -= max(0, min(y[i][1], y[i - 1][1]) - max(y[i][0], y[i - 1][0])) * (x[i][1] - x[i][0])\r\n\r\nprint(area)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, d, p = map(int, input().split())\nf = list(map(int, input().split()))\nf.sort()\n\nans = sum(f)\n\nfor i in range(n // d + 1):\n    ans = min(ans, sum(f[i * d :]) + i * p)\n\nprint(ans)",
                "n, d, p = map(int, input().split())\nf = list(map(int, input().split()))\nf.sort()\n\nans = sum(f)\n\nfor i in range(n // d + 1):\n    ans = min(ans, sum(f[i * d :]) + i * p)\n\nprint(ans)",
                "n, d, p, *f = map(int, open(0).read().split())\nf.sort()\ns = sum(f[: n % d])\nprint(s + (n // d) * p)",
                "n, d, p, *f = map(int, open(0).read().split())\nf.sort()\ns = sum(f[: n % d])\nprint(s + p * (n // d) * (n // d >= 1))",
                "n, d, p, *f = map(int, open(0).read().split())\nf.sort()\ns = sum(f[: n % d])\nprint(s + (n // d) * p)",
                "n, d, p, *f = map(int, open(0).read().split())\nf.sort()\ns = sum(f[: n % d])\nprint(s + (n // d) * p)",
                "n, d, p = map(int, input().split())\nf = list(map(int, input().split()))\nf.sort(reverse=True)\n\ntotal = sum(f)\n\nfor i in range(n // d + 1):\n    total = min(total, sum(f[i * d :]) + i * p)\n\nprint(total)",
                "n, d, p = map(int, input().split())\nf = list(map(int, input().split()))\nf.sort()\ns = sum(f)\nans = s\nfor i in range(n // d + 1):\n    ans = min(ans, s - i * d * p, n * p)\nprint(ans)",
                "n, d, p, *f = map(int, open(0).read().split())\nf.sort()\ns = sum(f[: n % d])\nprint(s + (n // d) * p)",
                "n, d, p = map(int, input().split())\nf = list(map(int, input().split()))\nf.sort()\nans = sum(f)\nfor i in range(n // d + 1):\n    ans = min(ans, sum(f[i * d :]) + i * p)\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [0] * (1 << n)\nfor i in range(n):\n    for j in range(i + 1, n):\n        dp[1 << i | 1 << j] = d[i][j - i - 1]\n\nfor i in range(1, 1 << n):\n    for j in range(n):\n        if dp[i] < dp[i ^ 1 << j] or dp[i] == 0:\n            dp[i] = dp[i ^ 1 << j]\n\nprint(max(dp))",
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [0] * (1 << n)\nfor i in range(n):\n    for j in range(i + 1, n):\n        dp[1 << i | 1 << j] = d[i][j - i - 1]\n\nfor i in range(1, 1 << n):\n    for j in range(n):\n        if dp[i] < dp[i ^ 1 << j] or dp[i] < dp[i ^ (1 << j)]:\n            dp[i] = max(dp[i], dp[i ^ 1 << j] + dp[i ^ (1 << j)])\n\nprint(dp[-1])",
                "n = int(input())\nd = []\nfor i in range(n):\n    d.append(list(map(int, input().split())))\n\ndp = [[0] * (1 << n) for i in range(n)]\nfor i in range(n):\n    dp[i][1 << i] = 0\n    for j in range(i + 1, n):\n        dp[i][1 << j] = d[i][j]\n\nfor i in range(n):\n    for s in range(1 << n):\n        if s >> i & 1:\n            continue\n        for j in range(i + 1, n):\n            if s >> j & 1:\n                continue\n            dp[i][s | 1 << j] = max(dp[i][s | 1 << j], dp[i][s] + d[i][j])\n            for k in range(j + 1, n):\n                if s >> k & 1:\n                    continue\n                dp[i][s | 1 << j | 1 << k] = max(\n                    dp[i][s | 1 << j | 1 << k], dp[i][s | 1 << j] + d[j][k] + dp[i][s]\n                )\n\nprint(max(dp[0]))",
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [[0] * (1 << n) for _ in range(n)]\n\nfor i in range(n):\n    dp[i][1 << i] = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        for k in range(n):\n            dp[i][1 << k] = max(dp[i][1 << k], dp[i][1 << k] + d[i][j])\n            dp[j][1 << k] = max(dp[j][1 << k], dp[j][1 << k] + d[i][j])\n\nprint(max(dp[0]))",
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [0] * (1 << n)\nfor i in range(n):\n    dp[1 << i] = d[i][0]\n\nfor i in range(n - 2, -1, -1):\n    for j in range(1 << n):\n        if j >> i & 1:\n            continue\n        for k in range(n):\n            if j >> k & 1:\n                dp[j | 1 << i] = max(dp[j | 1 << i], dp[j] + d[i][k])\n\nprint(max(dp))",
                "n = int(input())\nd = []\nfor i in range(n):\n    d.append(list(map(int, input().split())))\n\ndp = [[0] * (1 << n) for i in range(n)]\nfor i in range(n):\n    dp[i][1 << i] = max(dp[i][1 << i], d[i][0])\n    for j in range(i + 1, n):\n        dp[i][1 << j] = max(dp[i][1 << j], d[i][j - i - 1])\n\nfor i in range(n):\n    for j in range(1 << n):\n        for k in range(n):\n            if j & (1 << k) and k != i:\n                dp[i][j] = max(dp[i][j], dp[i][j ^ (1 << k)] + d[i][k])\n\nprint(max(dp[0]))",
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [0] * (1 << n)\nfor i in range(n):\n    for j in range(i + 1, n):\n        dp[1 << i | 1 << j] = d[i][j - i - 1]\n\nfor i in range(1, 1 << n):\n    for j in range(n):\n        if dp[i] < dp[i ^ 1 << j] and dp[i ^ 1 << j] < dp[i | 1 << j]:\n            dp[i | 1 << j] = max(dp[i | 1 << j], dp[i] + dp[i ^ 1 << j])\n\nprint(max(dp))",
                "n = int(input())\nd = []\nfor i in range(n):\n    d.append(list(map(int, input().split())))\n\ndp = [[0] * (1 << n) for i in range(n)]\n\nfor i in range(n):\n    dp[i][1 << i] = max(dp[i][1 << i], d[i][0])\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        for k in range(1 << n):\n            if k >> i & 1 and k >> j & 1:\n                dp[i][k] = max(dp[i][k], dp[i][k ^ 1 << i] + d[i][j])\n                dp[j][k] = max(dp[j][k], dp[j][k ^ 1 << j] + d[i][j])\n\nprint(max(dp[0]))",
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [0] * (1 << n)\nfor i in range(n):\n    dp[1 << i] = d[i][0]\n\nfor i in range(n - 2, -1, -1):\n    for j in range(1 << n):\n        if j >> i & 1:\n            for k in range(n):\n                if j >> k & 1 and k != i:\n                    dp[j] = max(dp[j], dp[j ^ 1 << i] + d[i][k])\n\nprint(max(dp))",
                "n = int(input())\nd = [list(map(int, input().split())) for _ in range(n - 1)]\n\ndp = [0] * (1 << n)\nfor i in range(n):\n    dp[1 << i] = d[i][0]\n\nfor i in range(n - 2, -1, -1):\n    for j in range(1 << n):\n        if j >> i & 1:\n            for k in range(n):\n                if j >> k & 1 and k != i:\n                    dp[j] = max(dp[j], dp[j ^ 1 << i] + d[i][k])\n\nprint(max(dp))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\n\ncount = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i] != a[j]:\n            count += a[i:] .count(a[i])\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[a[i]] = d.get(a[i], 0) + 1\n\nans = 0\nfor i in d:\n    ans += d[i] * (d[i] - 1) * (n - d[i])\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[a[i]] = d.get(a[i], 0) + 1\n\nans = 0\nfor i in d:\n    ans += d[i] * (d[i] - 1) * (n - d[i])\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    d[a[i]] = d.get(a[i], 0) + 1\n\nans = 0\nfor i in d:\n    ans += d[i] * (d[i] - 1) * (n - d[i])\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    if a[i] in d:\n        d[a[i]].append(i)\n    else:\n        d[a[i]] = [i]\n\nans = 0\nfor k in d:\n    l = d[k]\n    for i in range(len(l)):\n        for j in range(i + 1, len(l)):\n            if a[l[i]] != k:\n                ans += 1\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    if a[i] in d:\n        d[a[i]].append(i)\n    else:\n        d[a[i]] = [i]\n\nans = 0\nfor k in d:\n    l = len(d[k])\n    if l > 1:\n        for i in range(l):\n            for j in range(i + 1, l):\n                ans += (j - i - 1) * (l - j)\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    if a[i] in d:\n        d[a[i]].append(i)\n    else:\n        d[a[i]] = [i]\n\nans = 0\nfor k in d:\n    l = d[k]\n    for i in range(len(l)):\n        for j in range(i + 1, len(l)):\n            if a[l[i]] != k:\n                ans += 1\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    if a[i] not in d:\n        d[a[i]] = [0, 0]\n    d[a[i]][1] += 1\n\nfor i in range(n):\n    d[a[i]][0] += d[a[i]][1] - 1\n\nans = 0\nfor i in range(n):\n    ans += d[a[i]][0]\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(n):\n    if a[i] in d:\n        d[a[i]].append(i)\n    else:\n        d[a[i]] = [i]\n\nans = 0\nfor k in d:\n    if len(d[k]) < 2:\n        continue\n    for i in range(len(d[k]) - 1):\n        for j in range(i + 1, len(d[k])):\n            ans += (j - i - 1) * (n - j - 1)\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nd = {}\nfor i, x in enumerate(a):\n    d[x] = d.get(x, 0) + 1\n\nans = 0\nfor x in d:\n    ans += d[x] * (d[x] - 1) * (n - d[x])\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = [0] * (n + 1)\r\nfor i in range(1, 10):\r\n    if n % i == 0:\r\n        for j in range(n + 1):\r\n            if j % (n // i) == 0:\r\n                a[j] = i\r\n                break\r\nprint(\"\".join([str(i) if i != 0 else \"-\" for i in a]))\r",
                "n = int(input())\nl = []\nfor i in range(1, 10):\n    if n % i == 0:\n        l.append(i)\ns = \"-\" * (n + 1)\nfor i in range(n + 1):\n    for j in l:\n        if i % (n // j) == 0:\n            s = s[:i] + str(j) + s[i + 1 :]\n            break\nprint(s)",
                "import sys\n\ninput = sys.stdin.readline\n\nn = int(input())\n\nans = \"\"\nfor i in range(n + 1):\n    for j in range(1, 10):\n        if j * (n // j) <= i < n:\n            ans += str(j)\n            break\n    else:\n        ans += \"-\"\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(1, 10):\n    if n % i == 0:\n        a.append(i)\ns = \"-\" * (n + 1)\nfor i in range(n + 1):\n    for j in a:\n        if i % (n // j) == 0:\n            s = s[:i] + str(j) + s[i + 1 :]\n            break\nprint(s)",
                "def main():\n    n = int(input())\n    arr = [0] * (n + 1)\n    for i in range(1, 10):\n        if n % i == 0:\n            for j in range(n // i, n + 1, n // i):\n                if arr[j] == 0:\n                    arr[j] = i\n    ans = \"\"\n    for i in range(n + 1):\n        if arr[i] != 0:\n            ans += str(arr[i])\n        else:\n            ans += \"-\"\n    print(ans)\n\n\nmain()",
                "n = int(input())\r\na = []\r\nfor i in range(1, 10):\r\n    if n % i == 0:\r\n        a.append(i)\r\ns = \"-\" * (n + 1)\r\nfor i in range(n + 1):\r\n    for j in a:\r\n        if i % (n // j) == 0:\r\n            s = s[:i] + str(j) + s[i + 1 :]\r\nprint(s)\r",
                "n = int(input())\r\na = []\r\nfor i in range(1, 10):\r\n    if n % i == 0:\r\n        a.append(i)\r\ns = \"-\" * (n + 1)\r\nfor i in range(n + 1):\r\n    for j in a:\r\n        if i % (n // j) == 0:\r\n            s = s[:i] + str(j) + s[i + 1 :]\r\n            break\r\nprint(s)\r",
                "n = int(input())\r\na = []\r\nfor i in range(1, 10):\r\n    if n % i == 0:\r\n        a.append(i)\r\ns = \"-\"\r\nfor i in range(n + 1):\r\n    for j in a:\r\n        if i % (n // j) == 0:\r\n            s = chr(ord(\"1\") + a.index(j))\r\n            break\r\n    print(s, end=\"\")",
                "n = int(input())\na = []\nfor i in range(1, 10):\n    if n % i == 0:\n        a.append(i)\ns = \"-\" * (n + 1)\nfor i in range(n + 1):\n    for j in a:\n        if i % (n // j) == 0:\n            s = s[:i] + str(j) + s[i + 1 :]\n            break\nprint(s)",
                "n = int(input())\r\na = []\r\nfor i in range(1, 10):\r\n    if n % i == 0:\r\n        a.append(i)\r\ns = \"-\" * (n + 1)\r\nfor i in range(n + 1):\r\n    for j in a:\r\n        if i % (n // j) == 0:\r\n            s = s[:i] + str(j) + s[i + 1 :]\r\n            break\r\nprint(s)\r"
            ],
            "pass1_list": [
                false,
                true,
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    c = [[int(i) for i in input().split()] for _ in range(3)]\n    n = [0] * 10\n    for i in range(3):\n        for j in range(3):\n            n[c[i][j]] += 1\n    f = 1\n    for i in range(10):\n        if n[i] > 0:\n            f *= factorial(n[i] + 7) / (factorial(n[i]) * factorial(7))\n    p = 1\n    for i in range(1, 9):\n        p *= i\n    print(f / p)\n\n\ndef factorial(n):\n    f = 1\n    for i in range(1, n + 1):\n        f *= i\n    return f\n\n\nmain()",
                "def main():\n    c = [[int(x) for x in input().split()] for _ in range(3)]\n    n = [0] * 10\n    for i in range(3):\n        for j in range(3):\n            n[c[i][j]] += 1\n    f = 1\n    for i in range(10):\n        if n[i] > 0:\n            f *= fact[n[i]] // (fact[n[i] - 1] * n[i])\n    print(f / fact[9])\n\n\nfact = [1]\nfor i in range(1, 10):\n    fact.append(fact[-1] * i)\nmain()",
                "def main():\n    c = [[int(i) for i in input().split()] for _ in range(3)]\n    n = [0] * 10\n    for i in range(3):\n        for j in range(3):\n            n[c[i][j]] += 1\n    if 3 in n:\n        print(0)\n        return\n    f = [1] * 9\n    for i in range(3):\n        for j in range(3):\n            if j > 0 and c[i][j] == c[i][j - 1]:\n                f[c[i][j]] -= 1\n            if i > 0 and c[i][j] == c[i - 1][j]:\n                f[c[i][j]] -= 1\n            if i > 0 and j > 0 and c[i][j] == c[i - 1][j - 1]:\n                f[c[i][j]] -= 1\n            if i > 0 and j < 2 and c[i][j] == c[i - 1][j + 1]:\n                f[c[i][j]] -= 1\n    ans = 1\n    for i in range(9):\n        ans *= f[i] / (9 - i)\n    print(ans)\n\n\nmain()",
                "",
                "def main():\n    c = [[int(i) for i in input().split()] for _ in range(3)]\n    f = [1] * 9\n    for i in range(3):\n        for j in range(3):\n            for k in range(i + 1, 3):\n                if c[i][j] == c[k][j]:\n                    f[c[i][j]] -= 1\n                    break\n            for k in range(j + 1, 3):\n                if c[i][j] == c[i][k]:\n                    f[c[i][j]] -= 1\n                    break\n            if i == k and j == l:\n                continue\n            if i + j == k + l:\n                if c[i][j] == c[k][l]:\n                    f[c[i][j]] -= 1\n            if i - j == k - l:\n                if c[i][j] == c[k][l]:\n                    f[c[i][j]] -= 1\n    print(f[1] * f[2] * f[3] / (9 * 8 * 7))\n\n\nmain()",
                "def main():\n    c = [[int(i) for i in input().split()] for _ in range(3)]\n    d = {}\n    for i in range(3):\n        for j in range(3):\n            d[c[i][j]] = d.get(c[i][j], 0) + 1\n    if 3 in d.values():\n        print(0)\n        return\n    a = []\n    for i in range(3):\n        for j in range(3):\n            a.append(c[i][j])\n    from itertools import permutations\n\n    p = list(permutations(a))\n    ok = 0\n    for i in p:\n        x = [[0] * 3 for _ in range(3)]\n        for k in range(9):\n            x[k // 3][k % 3] = i[k]\n        for j in range(3):\n            if x[j][0] == x[j][1] and x[j][0] != x[j][2]:\n                break\n            if x[0][j] == x[1][j] and x[0][j] != x[2][j]:\n                break\n            if x[0][0] == x[1][1] and x[0][0] == x[2][2] and (x[0][0] != x[2][0]):\n                break\n            if x[0][2] == x[1][1] and x[0][2] == x[2][0] and (x[0][2] != x[2][2]):\n                break\n        else:\n            ok += 1\n    print(ok / len(p))\n\n\nmain()",
                "def main():\n    c = [[int(i) for i in input().split()] for _ in range(3)]\n    d = [0] * 9\n    for i in range(3):\n        for j in range(3):\n            d[c[i][j] - 1] = d[c[i][j] - 1] + 1\n    if d[0] == 3 or d[4] == 3:\n        print(0)\n        return\n    f = 1\n    for i in range(9):\n        f *= d[i] + 1\n        f //= d[i] + 2\n    print(1 / f)\n\n\nmain()",
                "def main():\n    c = [[int(x) for x in input().split()] for _ in range(3)]\n    n = [0] * 10\n    for i in range(3):\n        for j in range(3):\n            n[c[i][j]] += 1\n    f = 1\n    for i in range(10):\n        if n[i] > 0:\n            f *= fact[n[i]] // (fact[n[i] - 1] * n[i])\n    print(f / fact[9])\n\n\nfact = [1]\nfor i in range(1, 10):\n    fact.append(fact[-1] * i)\nmain()",
                "def main():\n    c = [[int(x) for x in input().split()] for _ in range(3)]\n    n = [0] * 10\n    for i in range(3):\n        for j in range(3):\n            n[c[i][j]] += 1\n    f = [1] * 10\n    for i in range(3):\n        for j in range(3):\n            if j > 0 and c[i][j] == c[i][j - 1]:\n                f[c[i][j]] *= n[c[i][j]] - 1\n            if i > 0 and c[i][j] == c[i - 1][j]:\n                f[c[i][j]] *= n[c[i][j]] - 1\n            if i > 0 and j > 0 and c[i][j] == c[i - 1][j - 1]:\n                f[c[i][j]] *= n[c[i][j]] - 1\n            if i < 2 and j < 2 and c[i][j] == c[i + 1][j + 1]:\n                f[c[i][j]] *= n[c[i][j]] - 1\n    print(f[c[0][0]] * f[c[0][1]] * f[c[0][2]] * f[c[1][0]] * f[c[1][1]] * f[c[1][2]] * f[c[2][0]] * f[c[2][1]] * f[c[2][2]] / 945)\n\n\nmain()",
                "def main():\n    c = [[int(i) for i in input().split()] for _ in range(3)]\n    n = [0] * 10\n    for i in range(3):\n        for j in range(3):\n            n[c[i][j]] += 1\n    f = 1\n    for i in range(10):\n        f *= factorial(n[i])\n    print(factorial(9) / f)\n\n\ndef factorial(n):\n    f = 1\n    for i in range(1, n + 1):\n        f *= i\n    return f\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = L[0]\nfor i in range(1, M):\n    s += 1 + L[i]\nfor i in range(M, N):\n    s = min(s, L[i] + 1 + L[i - M])\nprint(s)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = 0\nfor i in range(M):\n    s += L[i]\nans = s\nfor i in range(M, N):\n    s += L[i] - 1\n    s -= L[i - M] - 1\n    ans = min(ans, s)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = 0\nfor i in range(M):\n    s += L[i]\nfor i in range(M, N):\n    s += 1\n    s += L[i]\n    if s > L[i - M]:\n        s = L[i - M] + 1 + L[i]\nprint(s)",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve():\n    (N, M) = map(int, input().split())\n    L = list(map(int, input().split()))\n    L.sort()\n    L = L[::-1]\n    l = 0\n    r = L[0] * N + N - 1\n    while r - l > 1:\n        m = (l + r) // 2\n        cnt = 0\n        cur = 0\n        for i in range(N):\n            cur += L[i]\n            if cur > m:\n                cnt += 1\n                cur = L[i]\n        if cnt <= M:\n            r = m\n        else:\n            l = m\n    print(r)\n\n\nsolve()",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = 0\nfor i in range(M):\n    s += L[i]\nans = s\nfor i in range(M, N):\n    s = s - L[i - M] + L[i] + 1\n    ans = min(ans, s)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = 0\nfor i in range(M):\n    s += L[i]\nprint(s + N - M)",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve():\n    n, m = map(int, input().split())\n    l = list(map(int, input().split()))\n    l.sort(reverse=True)\n    l = [0] + l\n    s = 0\n    for i in range(m):\n        s += l[i]\n    for i in range(m, n):\n        s += l[i] - l[i - m] + 1\n        s = min(s, l[i : i - m : -1])\n    return s\n\n\nprint(solve())",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = 0\nfor i in range(M):\n    s += L[i]\nprint(s + N - M)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort(reverse=True)\ns = 0\nfor i in range(M):\n    s += L[i]\nprint(s + N - M)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nL = list(map(int, input().split()))\nL.sort()\nL = L[::-1]\nans = 0\nfor i in range(M):\n    ans += L[i]\nprint(ans + M)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(N, X, Y) = map(int, input().split())\nP = [0] * (N - 1)\nT = [0] * (N - 1)\nfor i in range(N - 1):\n    (P[i], T[i]) = map(int, input().split())\nQ = int(input())\nquery = [int(input()) for _ in range(Q)]\n\ndp = [[10**18] * 9 for _ in range(N)]\ndp[0][0] = X\nfor i in range(N - 1):\n    for j in range(8):\n        dp[i + 1][(j + P[i]) % 8] = min(dp[i + 1][(j + P[i]) % 8], dp[i][j] + T[i])\n\nfor q in query:\n    ans = q + dp[N - 1][q % 8] + Y\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, X, Y = map(int, input().split())\n\nP = []\nT = []\nfor i in range(N - 1):\n    p, t = map(int, input().split())\n    P.append(p)\n    T.append(t)\n\nQ = int(input())\nqs = [int(input()) for i in range(Q)]\n\nans = []\n\nfor q in qs:\n    time = q + X\n    for i in range(N - 1):\n        if time % P[i] != 0:\n            time += P[i] - time % P[i]\n        time += T[i]\n    ans.append(time + Y)\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\n(N, X, Y) = map(int, input().split())\nP = [0] * (N - 1)\nT = [0] * (N - 1)\nfor i in range(N - 1):\n    (P[i], T[i]) = map(int, input().split())\nQ = int(input())\nqs = [int(input()) for _ in range(Q)]\nans = [None] * Q\nfor i, q in enumerate(qs):\n    ans[i] = solve(q)\nprint(*ans, sep=\"\\n\")\n\n\ndef solve(q):\n    q += X\n    for i in range(N - 1):\n        t = (q - 1) // P[i] * P[i] + 1\n        q = t + T[i]\n    return q + Y\n\n\ndef test():\n    for q in qs:\n        print(q, solve(q))\n\n\n# test()",
                "import sys\n\ninput = sys.stdin.readline\n(N, X, Y) = map(int, input().split())\nP = [0] * (N - 1)\nT = [0] * (N - 1)\nfor i in range(N - 1):\n    (P[i], T[i]) = map(int, input().split())\nQ = int(input())\nq = [int(input()) for _ in range(Q)]\nans = [None] * Q\nfor i in range(Q):\n    q[i] += X\ndp = [[float(\"inf\")] * 9 for _ in range(N)]\ndp[0][0] = X\nfor i in range(N - 1):\n    for j in range(9):\n        if dp[i][j] == float(\"inf\"):\n            continue\n        for k in range(P[i]):\n            dp[i + 1][(j + k) % P[i]] = min(dp[i + 1][(j + k) % P[i]], dp[i][j] + T[i])\nfor i in range(Q):\n    ans[i] = min(dp[N - 1]) + Y\n    q[i] += 1\n    for j in range(9):\n        dp[N - 1][j] = float(\"inf\")\n        if q[i] % P[N - 1] == j:\n            dp[N - 1][j] = q[i] + T[N - 1]\nprint(*ans, sep=\"\\n\")",
                "from collections import deque\n\nN, X, Y = map(int, input().split())\n\nP = []\nT = []\n\nfor i in range(N - 1):\n    p, t = map(int, input().split())\n    P.append(p)\n    T.append(t)\n\nQ = int(input())\nqs = [int(input()) for i in range(Q)]\n\nINF = 10**18\n\ndp = [[INF] * 9 for i in range(N + 1)]\ndp[0][0] = X\n\nfor i in range(N):\n    for j in range(9):\n        if dp[i][j] == INF:\n            continue\n        for k in range(9):\n            if k == j:\n                dp[i + 1][k] = min(dp[i + 1][k], dp[i][j] + T[i])\n            else:\n                dp[i + 1][k] = min(dp[i + 1][k], dp[i][j] + T[i] + (k - j) * P[i])\n\nfor q in qs:\n    ans = q + dp[N][q % 9] + Y\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, X, Y) = map(int, input().split())\nP = []\nT = []\nfor i in range(N - 1):\n    (p, t) = map(int, input().split())\n    P.append(p)\n    T.append(t)\nQ = int(input())\nqs = [int(input()) for i in range(Q)]\n\nINF = 10**18\ndp = [[INF] * 9 for i in range(N)]\ndp[0][0] = X\nfor i in range(N - 1):\n    for j in range(8):\n        if dp[i][j] == INF:\n            continue\n        for k in range(8):\n            if j == k:\n                continue\n            dp[i + 1][k] = min(dp[i + 1][k], dp[i][j] + T[i])\n            if dp[i][j] // P[i] * P[i] + P[i] <= dp[i][j] + T[i]:\n                dp[i + 1][k] = min(\n                    dp[i + 1][k], dp[i][j] // P[i] * P[i] + P[i] + T[i]\n                )\n\nfor q in qs:\n    ans = q + X\n    for i in range(N):\n        for j in range(8):\n            if dp[i][j] <= q:\n                ans = max(ans, dp[i][j] + (q - dp[i][j]) // P[i] * P[i] + Y)\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, X, Y) = map(int, input().split())\nP = [0] * N\nT = [0] * N\nfor i in range(N - 1):\n    (P[i], T[i]) = map(int, input().split())\nQ = int(input())\nquery = [int(input()) for i in range(Q)]\nfor q in query:\n    ans = q + X + Y\n    for i in range(N - 1):\n        if (q + X) % P[i] == 0:\n            ans = min(ans, q + X + T[i] + Y)\n        ans = min(ans, (q + X + P[i] - (q + X) % P[i]) + T[i] + Y)\n    print(ans)",
                "from collections import deque\n\nN, X, Y = map(int, input().split())\n\nP = []\nT = []\nfor i in range(N - 1):\n    p, t = map(int, input().split())\n    P.append(p)\n    T.append(t)\n\nQ = int(input())\nqs = [int(input()) for i in range(Q)]\n\nans = []\n\nfor q in qs:\n    time = q + X\n    bus_time = [0] * (N - 1)\n    for i in range(N - 1):\n        bus_time[i] = (time - 1) // P[i] * P[i] + P[i] + T[i]\n        time = bus_time[i]\n    time += Y\n    ans.append(time)\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\n\nN, X, Y = map(int, input().split())\n\nP = []\nT = []\nfor i in range(N - 1):\n    p, t = map(int, input().split())\n    P.append(p)\n    T.append(t)\n\nQ = int(input())\nqs = [int(input()) for i in range(Q)]\n\nans = []\n\nfor q in qs:\n    time = q + X\n    for i in range(N - 1):\n        time += (time // P[i] + 1) * T[i]\n    ans.append(time + Y)\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\n(N, X, Y) = map(int, input().split())\nP = [0] * (N - 1)\nT = [0] * (N - 1)\nfor i in range(N - 1):\n    (P[i], T[i]) = map(int, input().split())\nQ = int(input())\nq = [int(input()) for _ in range(Q)]\nans = [None] * Q\nfor i in range(Q):\n    q[i] += X\ndp = [None] * N\ndp[0] = [0] * 8\nfor i in range(N - 1):\n    for j in range(8):\n        if dp[i][j] is not None:\n            dp[i + 1][(j + P[i]) % 8] = min(\n                dp[i + 1][(j + P[i]) % 8], dp[i][j] + T[i] + (j + P[i]) // P[i] * P[i]\n            )\nfor i in range(Q):\n    ans[i] = dp[-1][q[i] % 8] + q[i] + Y\nprint(*ans, sep=\"\\n\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))",
                "a, b = map(int, input().split())\nprint(pow(a, b) + pow(b, a))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nn = len(s)\ndp = [[False] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = True\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = True\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1]:\n            dp[i][j] = True\n            max_len = k\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[False] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = True\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = True\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1]:\n            dp[i][j] = True\n            max_len = k\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[0] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = 1\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = 1\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1] == 1:\n            dp[i][j] = 1\n            max_len = k\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[0] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n - 1, -1, -1):\n    dp[i][i] = 1\n    for j in range(i + 1, n):\n        if s[i] == s[j]:\n            if j - i == 1 or dp[i + 1][j - 1]:\n                dp[i][j] = 1\n                max_len = max(max_len, j - i + 1)\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[False] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = True\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = True\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1]:\n            dp[i][j] = True\n            max_len = k\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[0] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n - 1, -1, -1):\n    dp[i][i] = 1\n    for j in range(i + 1, n):\n        if s[i] == s[j]:\n            if j - i == 1 or dp[i + 1][j - 1]:\n                dp[i][j] = 1\n                max_len = max(max_len, j - i + 1)\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[False] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = True\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = True\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1]:\n            dp[i][j] = True\n            max_len = k\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[False] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = True\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = True\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1]:\n            dp[i][j] = True\n            max_len = k\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[0] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n - 1, -1, -1):\n    dp[i][i] = 1\n    for j in range(i + 1, n):\n        if s[i] == s[j]:\n            if j - i == 1 or dp[i + 1][j - 1]:\n                dp[i][j] = 1\n                max_len = max(max_len, j - i + 1)\nprint(max_len)",
                "s = input()\nn = len(s)\ndp = [[False] * n for _ in range(n)]\nmax_len = 1\nfor i in range(n):\n    dp[i][i] = True\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        dp[i][i + 1] = True\n        max_len = 2\nfor k in range(3, n + 1):\n    for i in range(n - k + 1):\n        j = i + k - 1\n        if s[i] == s[j] and dp[i + 1][j - 1]:\n            dp[i][j] = True\n            max_len = k\nprint(max_len)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if len(set(S[j][i] for j in range(3))) == 1:\n        print(i)\n        break\nelse:\n    print(-1)",
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if S[0][i] == S[1][0] == S[2][i]:\n        print(i)\n        break\nelse:\n    print(-1)",
                "m = int(input())\r\ns = [input() for _ in range(3)]\r\n\r\nfor i in range(m):\r\n    for j in range(m):\r\n        k = (i + j) % m\r\n        if s[0][i] == s[1][j] == s[2][k]:\r\n            print(max(i, j, k) + 1)\r\n            break\r\n    else:\r\n        continue\r\n    break\r\nelse:\r\n    print(-1)",
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if S[0][i] == S[1][0] == S[2][i]:\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if S[0][i] == S[1][0] == S[2][i]:\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if S[0][i] == S[1][0] == S[2][i]:\n        print(i)\n        break\nelse:\n    print(-1)",
                "M = int(input())\r\nS = [input() for _ in range(3)]\r\n\r\nfor i in range(M):\r\n    if S[0][i] == S[1][0] == S[2][i]:\r\n        print(i)\r\n        break\r\nelse:\r\n    print(-1)\r",
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if S[0][i] == S[1][0] == S[2][i]:\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "m = int(input())\r\ns = [input() for _ in range(3)]\r\n\r\nfor i in range(m):\r\n    if s[0][i] == s[1][0] == s[2][i]:\r\n        print(i + 1)\r\n        break\r\nelse:\r\n    print(-1)\r",
                "M = int(input())\nS = [input() for _ in range(3)]\n\nfor i in range(M):\n    if S[0][i] == S[1][0] == S[2][i]:\n        print(i)\n        break\nelse:\n    print(-1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nn, m = list(map(int, input().split()))\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(m):\n    a, b, x, y = list(map(int, input().split()))\n    graph[a].append((b, x, y))\n    graph[b].append((a, -x, -y))\n\n\ndef dfs(v, prev, x, y):\n    if len(graph[v]) == 1 and v != 1:\n        print(\"undecidable\")\n        return\n\n    x += graph[v][0][1]\n    y += graph[v][0][2]\n\n    for to, dx, dy in graph[v]:\n        if to == prev:\n            continue\n        dfs(to, v, x - dx, y - dy)\n\n    print(x, y)\n\n\ndfs(1, -1, 0, 0)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\ngraph = [[] for i in range(N + 1)]\n\nfor i in range(M):\n    A, B, X, Y = map(int, input().split())\n    graph[A].append((B, X, Y))\n    graph[B].append((A, -X, -Y))\n\n\ndef solve(node, parent):\n    x, y = 0, 0\n    for b, dx, dy in graph[node]:\n        if b == parent:\n            continue\n        nx, ny = solve(b, node)\n        if nx is None:\n            return None\n        x += dx + nx\n        y += dy + ny\n    return x, y\n\n\nfor i in range(1, N + 1):\n    x, y = solve(i, 0)\n    if x is None:\n        print(\"undecidable\")\n    else:\n        print(x, y)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nG = [[] for i in range(N + 1)]\n\nfor i in range(M):\n    A, B, X, Y = list(map(int, input().split()))\n    G[A].append((B, X, Y))\n    G[B].append((A, -X, -Y))\n\nANS = [None] * (N + 1)\nANS[1] = (0, 0)\n\nfor i in range(1, N + 1):\n    if ANS[i] is not None:\n        continue\n    for j, (to, x, y) in enumerate(G[i]):\n        if ANS[to] is not None:\n            if G[to][G[to].index((i, -x, -y))] != (i, -x, -y):\n                print(\"undecidable\")\n                ANS[i] = \"done\"\n                break\n    if ANS[i] is not None:\n        continue\n    x, y = 0, 0\n    for to, x_, y_ in G[i]:\n        if ANS[to] is None:\n            continue\n        nx, ny = ANS[to]\n        if x_ == 0 and y_ == 0:\n            continue\n        x += nx * x_ + ny * y_\n        y += ny * x_ - nx * y_\n    ANS[i] = (x, y)\n\nfor i in range(1, N + 1):\n    if ANS[i] == \"done\":\n        continue\n    if ANS[i] is None:\n        print(\"undecidable\")\n    else:\n        print(*ANS[i])",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\n\ngraph = defaultdict(list)\nfor _ in range(m):\n    a, b, x, y = map(int, input().split())\n    graph[a].append((b, x, y))\n    graph[b].append((a, -x, -y))\n\ncoords = {1: (0, 0)}\nfor i in range(1, n + 1):\n    if i not in coords:\n        print(\"undecidable\")\n        continue\n    x, y = coords[i]\n    for j, dx, dy in graph[i]:\n        if j not in coords:\n            coords[j] = (x + dx, y + dy)\n\nfor i in range(1, n + 1):\n    print(*coords[i])",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\n\nG = defaultdict(dict)\n\nfor i in range(m):\n    a, b, x, y = map(int, input().split())\n    G[a][b] = (x, y)\n    G[b][a] = (-x, -y)\n\nvisited = [0] * (n + 1)\n\nfor i in range(1, n + 1):\n    if not visited[i]:\n        q = [(i, 0, 0)]\n        visited[i] = 1\n        while q:\n            a, x, y = q.pop(0)\n            for b, (dx, dy) in G[a].items():\n                if not visited[b]:\n                    visited[b] = 1\n                    q.append((b, x + dx, y + dy))\n\nfor i in range(1, n + 1):\n    if visited[i]:\n        print(x, y)\n    else:\n        print(\"undecidable\")",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\n\ng = defaultdict(list)\nfor _ in range(m):\n    a, b, x, y = map(int, input().split())\n    g[a].append((b, x, y))\n    g[b].append((a, -x, -y))\n\nans = [None] * (n + 1)\nans[1] = (0, 0)\n\nfor i in range(1, n + 1):\n    if ans[i] is not None:\n        for j, x, y in g[i]:\n            if ans[j] is None:\n                ans[j] = (ans[i][0] + x, ans[i][1] + y)\n\nfor i in range(1, n + 1):\n    if ans[i] is None:\n        print(\"undecidable\")\n    else:\n        print(ans[i][0], ans[i][1])",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(m):\n    a, b, x, y = map(int, input().split())\n    graph[a].append((b, x, y))\n    graph[b].append((a, -x, -y))\n\ncoords = {}\n\nfor i in range(1, n + 1):\n    if i not in graph:\n        coords[i] = (0, 0)\n        continue\n\n    x, y = 0, 0\n\n    for j, dx, dy in graph[i]:\n        if j not in coords:\n            continue\n        px, py = coords[j]\n        x += px + dx\n        y += py + dy\n\n    if len(graph[i]) == 1:\n        x, y = x / len(graph[i]), y / len(graph[i])\n\n    coords[i] = (x, y)\n\nfor i in range(1, n + 1):\n    if i not in coords:\n        print(\"undecidable\")\n    else:\n        print(f\"{coords[i][0]} {coords[i][1]}\")",
                "import sys\nfrom collections import defaultdict\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\nG = defaultdict(dict)\n\nfor _ in range(M):\n    A, B, X, Y = map(int, input().split())\n    G[A][B] = (X, Y)\n    G[B][A] = (-X, -Y)\n\nfor i in range(1, N + 1):\n    if not G[i]:\n        print(0, 0)\n        continue\n\n    if len(G[i]) == 1:\n        A, (X, Y) = next(iter(G[i].items()))\n        print(X, Y)\n        continue\n\n    for A, (X, Y) in G[i].items():\n        for B, (x, y) in G[i].items():\n            if A == B:\n                continue\n            if X != -x or Y != -y:\n                print(\"undecidable\")\n                break\n        else:\n            print(X, Y)\n        break\n    else:\n        print(\"undecidable\")",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\n\nG = defaultdict(list)\n\nfor _ in range(m):\n    a, b, x, y = map(int, input().split())\n    G[a].append((b, x, y))\n    G[b].append((a, -x, -y))\n\nseen = set()\n\nfor i in range(1, n + 1):\n    if i not in seen:\n        q = [(i, 0, 0)]\n        seen.add(i)\n        while q:\n            a, x, y = q.pop()\n            for b, dx, dy in G[a]:\n                if b not in seen:\n                    seen.add(b)\n                    q.append((b, x + dx, y + dy))\n\nfor i in range(1, n + 1):\n    if i in seen:\n        print(f\"{x} {y}\" if (x, y) := (seen[i]) else \"undecidable\")\n    else:\n        print(\"undecidable\")",
                "import sys\nfrom collections import defaultdict\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\nG = defaultdict(dict)\n\nfor i in range(M):\n    A, B, X, Y = map(int, input().split())\n    G[A][B] = (X, Y)\n    G[B][A] = (-X, -Y)\n\nfor i in range(1, N + 1):\n    if not G[i]:\n        print(0, 0)\n        continue\n    if len(G[i]) > 2:\n        print(\"undecidable\")\n        continue\n    if not G[i]:\n        print(0, 0)\n        continue\n    j = next(iter(G[i]))\n    x, y = G[i][j]\n    if j == 1:\n        print(x, y)\n    else:\n        print(-x, -y)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\nevents = []\nfor _ in range(M):\n    T, W, S = map(int, input().split())\n    events.append((T, W, S))\n\nevents.sort(key=lambda x: x[0])\n\nlast_time = 0\nnoodle_count = [0] * N\ncurrent_index = 0\n\nfor T, W, S in events:\n    while current_index < N and last_time + S <= T:\n        noodle_count[current_index] += W\n        last_time += S\n        current_index += 1\n    if current_index < N:\n        noodle_count[current_index] += W\n        last_time = T + S\n\nfor i in range(N):\n    print(noodle_count[i])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nevents = []\nfor _ in range(M):\n    T, W, S = list(map(int, input().split()))\n    events.append((T, W, S))\n\nevents.sort(key=lambda x: x[0])\n\npeople = [0] * N\ncur = 0\nfor T, W, S in events:\n    if cur < N:\n        people[cur] += W\n    cur = min(cur + 1, N)\n\nfor i in range(N):\n    print(people[i])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\nevents = []\nfor _ in range(M):\n    T, W, S = map(int, input().split())\n    events.append((T, W, S))\n\nevents.sort()\n\npeople = [0] * N\n\nidx = 0\nfor T, W, S in events:\n    while idx < N and T >= S:\n        people[idx] += W\n        idx += 1\n\nfor i in range(N):\n    print(people[i])",
                "from collections import deque\n\n(n, m) = map(int, input().split())\nevents = [list(map(int, input().split())) for _ in range(m)]\nevents.sort()\n\npeople = deque(range(n))\nnoodle_counts = [0] * n\n\nfor t, w, s in events:\n    if people:\n        person = people.popleft()\n        noodle_counts[person] += w\n    else:\n        continue\n\n    wait_time = t + s\n    while people and people[0] <= person:\n        people.appendleft(people.popleft())\n\n    timer = deque([wait_time])\n    while timer:\n        wait_time = timer.popleft()\n        if people and people[0] == person:\n            people.popleft()\n            break\n        else:\n            timer.append(wait_time + s)\n\nfor count in noodle_counts:\n    print(count)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nevents = []\nfor _ in range(M):\n    T, W, S = list(map(int, input().split()))\n    events.append((T, W, S))\n\nevents.sort(key=lambda x: x[0])\n\nlast_time = 0\nnoodle_cnt = [0] * N\n\nfor T, W, S in events:\n    while last_time < T:\n        noodle_cnt[last_time % N] = max(noodle_cnt[last_time % N] - T + last_time, 0)\n        last_time += 1\n    noodle_cnt[last_time % N] += W\n    last_time += S\n\nfor i in range(N):\n    print(noodle_cnt[i])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\nevents = []\nfor _ in range(M):\n    T, W, S = map(int, input().split())\n    events.append((T, W, S))\n\nevents.sort(key=lambda x: x[0])\n\nlast_time = 0\nnoodle_count = [0] * N\ncur_idx = 0\nfor T, W, S in events:\n    while cur_idx < N and last_time + S <= T:\n        noodle_count[cur_idx] += W\n        cur_idx += 1\n        last_time = T\n\nfor n in noodle_count:\n    print(n)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nevents = []\nfor _ in range(M):\n    T, W, S = list(map(int, input().split()))\n    events.append((T, W, S))\n\nevents.sort()\n\npeople = [0] * N\n\nidx = 0\nfor T, W, S in events:\n    while idx < N and T >= S:\n        people[idx] += W\n        idx += 1\n    if idx == 0:\n        continue\n    people[idx - 1] += W\n\nfor i in range(N):\n    print(people[i])",
                "from collections import deque\n\n(n, m) = map(int, input().split())\nevents = [list(map(int, input().split())) for _ in range(m)]\nevents.sort(key=lambda x: x[0])\n\npeople = deque(range(n))\nnoodle_counts = [0] * n\n\nfor t, w, s in events:\n    if people:\n        person = people.popleft()\n        noodle_counts[person] += w\n    else:\n        continue\n\n    return_time = t + s\n    while people and people[0] < person:\n        people.popleft()\n\n    people.appendleft(person)\n    idx = people.index(person)\n    for i in range(idx, len(people)):\n        people[i] += 1\n\n    if return_time < len(events):\n        idx = bisect.bisect_left(events, [return_time])\n        events[idx][0] = return_time\n\nfor count in noodle_counts:\n    print(count)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nevents = []\nfor _ in range(M):\n    T, W, S = list(map(int, input().split()))\n    events.append((T, W, S))\n\nevents.append((10**18, 0, 0))\nevents.sort()\n\nans = [0] * N\n\ntime = 0\nidx = 0\nfor T, W, S in events:\n    while idx < N and time <= T:\n        ans[idx] += W\n        idx += 1\n        time += S\n\nfor a in ans:\n    print(a)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\nevents = []\nfor _ in range(m):\n    t, w, s = map(int, input().split())\n    events.append((t, w, s))\n\npeople = [0] * n\nqueue = deque([(0, 0)])\nfor t, w, s in sorted(events):\n    while queue and queue[0][0] <= t:\n        time, person = queue.popleft()\n        people[person] += w\n    queue.append((t + s, (t + s) % n))\n\nfor i in range(n):\n    print(people[i])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = input()\n\nis_321 = True\nfor i in range(len(n) - 1):\n    if n[i] <= n[i + 1]:\n        is_321 = False\n        break\n\nif is_321:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n = input()\n\nif len(n) == 1:\n    print(\"Yes\")\nelse:\n    prev = int(n[0])\n    for i in range(1, len(n)):\n        if int(n[i]) >= prev:\n            print(\"No\")\n            break\n        prev = int(n[i])\n    else:\n        print(\"Yes\")",
                "n = input()\nn = list(n)\nfor i in range(len(n) - 1):\n    if n[i] <= n[i + 1]:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n = input()\n\nif len(n) == 1:\n    print(\"Yes\")\nelse:\n    prev = int(n[0])\n    for i in range(1, len(n)):\n        cur = int(n[i])\n        if cur >= prev:\n            print(\"No\")\n            break\n        prev = cur\n    else:\n        print(\"Yes\")",
                "n = input()\n\nif len(n) == 1:\n    print(\"Yes\")\nelse:\n    prev = int(n[0])\n    for i in range(1, len(n)):\n        cur = int(n[i])\n        if cur >= prev:\n            print(\"No\")\n            break\n        prev = cur\n    else:\n        print(\"Yes\")",
                "n = input()\n\nif len(n) == 1:\n    print(\"Yes\")\nelse:\n    prev = int(n[0])\n    for i in range(1, len(n)):\n        cur = int(n[i])\n        if cur >= prev:\n            print(\"No\")\n            break\n        prev = cur\n    else:\n        print(\"Yes\")",
                "n = input()\na = list(n)\nfor i in range(len(a) - 1):\n    if a[i] <= a[i + 1]:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n = input()\n\nflag = True\nfor i in range(len(n) - 1):\n    if n[i] <= n[i + 1]:\n        flag = False\n        break\n\nif flag:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n = input()\n\nif len(n) == 1:\n    print(\"Yes\")\nelse:\n    prev = int(n[0])\n    for i in range(1, len(n)):\n        cur = int(n[i])\n        if cur >= prev:\n            print(\"No\")\n            break\n        prev = cur\n    else:\n        print(\"Yes\")",
                "n = input()\nn = list(n)\nn = [int(i) for i in n]\nif len(n) == 1:\n    print(\"Yes\")\nelse:\n    for i in range(len(n) - 1):\n        if n[i] <= n[i + 1]:\n            print(\"No\")\n            break\n    else:\n        print(\"Yes\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + sum(a[2:-1]) >= x:\n    print(0)\nelse:\n    for i in range(101):\n        if a[1] + sum(a[2:-1]) + i >= x:\n            print(i)\n            break\n    else:\n        print(-1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + sum(a[2:-1]) >= x:\n    print(0)\nelse:\n    for i in range(101):\n        if a[1] + sum(a[2:-1]) + i >= x:\n            print(i)\n            break\n    else:\n        print(-1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[-2] + a[1] >= x:\n    print(0)\nelse:\n    for i in range(101):\n        if a[-2] + a[1] + i >= x:\n            print(i)\n            break\n    else:\n        print(-1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + (n - 3) * 100 >= x:\n    print(0)\nelif a[n - 2] + (n - 3) * 0 < x:\n    print(-1)\nelse:\n    print((x - sum(a[1:-1])) + 1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + sum(a[2:-1]) >= x:\n    print(0)\nelse:\n    for i in range(101):\n        if a[1] + sum(a[2:-1]) + i >= x:\n            print(i)\n            break\n    else:\n        print(-1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\na = a[1:-1]\ny = x - sum(a)\nif y < 0:\n    print(-1)\nelse:\n    print(y)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + sum(a[2:-1]) >= x:\n    print(0)\nelse:\n    for i in range(101):\n        if a[1] + sum(a[2:-1]) + i >= x:\n            print(i)\n            break\n    else:\n        print(-1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + sum(a[2:-1]) >= x:\n    print(0)\nelse:\n    for i in range(101):\n        if a[1] + sum(a[2:-1]) + i >= x:\n            print(i)\n            break\n    else:\n        print(-1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + (n - 3) * 100 >= x:\n    print(0)\nelif a[n - 2] + (n - 3) * 0 < x:\n    print(-1)\nelse:\n    print((x - sum(a[1:-1])) + 1)",
                "n, x = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nif a[1] + (n - 3) * a[-1] < x:\n    print(-1)\nelse:\n    print(max(0, (x - sum(a[1:-1])) + a[1]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    k = int(input())\n    i = 1\n    while True:\n        for j in range(10, 0, -1):\n            for l in range(9, j - 1, -1):\n                for m in range(l - 1, 0, -1):\n                    for n in range(m - 1, 0, -1):\n                        for o in range(n - 1, 0, -1):\n                            for p in range(o - 1, -1, -1):\n                                s = str(j) + str(l) + str(m) + str(n) + str(o) + str(p)\n                                i += 1\n                                if i == k:\n                                    print(s)\n                                    return\n\n\nmain()",
                "K = int(input())\ncnt = 0\nn = 1\nwhile True:\n    for i in range(10, 0, -1):\n        for j in range(9, i - 1, -1):\n            for k in range(9, j - 1, -1):\n                for l in range(9, k - 1, -1):\n                    for m in range(9, l - 1, -1):\n                        for o in range(9, m - 1, -1):\n                            cnt += 1\n                            if cnt == K:\n                                print(i * 10**5 + j * 10**4 + k * 10**3 + l * 10**2 + m * 10 + o)\n                                exit()",
                "def main():\n    k = int(input())\n    i = 1\n    while True:\n        for d in range(1, 10):\n            for c in range(9, d - 1, -1):\n                for b in range(c - 1, d - 1, -1):\n                    for a in range(b - 1, d - 1, -1):\n                        s = str(a * 10 ** (3 - d) + b * 10 ** (2 - d) + c * 10 ** (1 - d) + d)\n                        if i == k:\n                            print(s)\n                            return\n                        i += 1\n\n\nmain()",
                "K = int(input())\ncnt = 0\nn = 1\nwhile cnt < K:\n    n += 1\n    for i in range(1, 10):\n        for j in range(0, 10):\n            for k in range(0, 10):\n                for l in range(0, 10):\n                    for m in range(0, 10):\n                        for o in range(0, 10):\n                            cnt += 1\n                            if cnt == K:\n                                print(i * 100000 + j * 10000 + k * 1000 + l * 100 + m * 10 + o)\n                                exit()",
                "def main():\n    k = int(input())\n    n = 1\n    while k > 0:\n        n += 1\n        if n == 10:\n            n = 100\n        elif n == 100:\n            n = 1000\n        elif n == 1000:\n            n = 10000\n        elif n == 10000:\n            n = 100000\n        elif n == 100000:\n            n = 1000000\n        k -= n - 1\n    print(n - 1)\n\n\nmain()",
                "def main():\n    k = int(input())\n    n = 1\n    cnt = 0\n    while True:\n        for i in range(10, 0, -1):\n            for j in range(i - 1, 0, -1):\n                for l in range(j - 1, 0, -1):\n                    cnt += 1\n                    if cnt == k:\n                        print(n)\n                        return\n            n += 1\n\n\nmain()",
                "K = int(input())\ncnt = 0\nn = 1\nwhile cnt < K:\n    n += 1\n    for i in range(1, 10):\n        for j in range(0, 10):\n            for k in range(0, 10):\n                for l in range(0, 10):\n                    for m in range(0, 10):\n                        for o in range(0, 10):\n                            cnt += 1\n                            if cnt == K:\n                                print(i * 100000 + j * 10000 + k * 1000 + l * 100 + m * 10 + o)\n                                exit()",
                "K = int(input())\n\ni = 1\nwhile True:\n    for d1 in range(10, 0, -1):\n        for d2 in range(d1 - 1, 0, -1):\n            for d3 in range(d2 - 1, 0, -1):\n                for d4 in range(d3 - 1, 0, -1):\n                    for d5 in range(d4 - 1, 0, -1):\n                        for d6 in range(d5 - 1, 0, -1):\n                            for d7 in range(d6 - 1, 0, -1):\n                                for d8 in range(d7 - 1, 0, -1):\n                                    for d9 in range(d8 - 1, 0, -1):\n                                        for d10 in range(d9 - 1, 0, -1):\n                                            s = f\"{d1}{d2}{d3}{d4}{d5}{d6}{d7}{d8}{d9}{d10}\"\n                                            if i == K:\n                                                print(s)\n                                                exit()\n                                            i += 1",
                "k = int(input())\n\ni = 1\nwhile k > 0:\n    k -= i\n    i *= 10\n\nprint(i // 10)",
                "import math\n\nk = int(input())\n\nn = 1\nwhile True:\n    count = 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * (n // 10 ** (9 - 1))\n    if k <= count:\n        break\n    k -= count\n    n += 1\n\nm = n // 10 ** (9 - 1)\nn %= 10 ** (9 - 1)\n\nans = []\nfor i in range(9, 0, -1):\n    if m >= 10 ** (i - 1):\n        ans.append(str(i))\n        m -= 10 ** (i - 1)\n\nfor i in range(9, 0, -1):\n    if n >= 10 ** (i - 1):\n        ans.append(str(i))\n        n -= 10 ** (i - 1)\n\nprint(\"\".join(ans))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = 0\nfor i in range(n):\n    for j in range(m):\n        ans += min(a[i] + b[j], p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = 0\nfor i in a:\n    for j in b:\n        ans += min(i + j, p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = 0\nfor i in range(n):\n    for j in range(m):\n        ans += min(a[i] + b[j], p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nans = 0\nfor i in a:\n    for j in b:\n        ans += min(i + j, p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\nans = 0\nfor i in range(n):\n    for j in range(m):\n        ans += min(a[i] + b[j], p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = 0\nfor i in a:\n    for j in b:\n        ans += min(i + j, p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\nans = 0\nfor i in range(n):\n    for j in range(m):\n        ans += min(a[i] + b[j], p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = sorted(map(int, input().split()))\nb = sorted(map(int, input().split()))\nans = 0\nfor i in a:\n    for j in b:\n        ans += min(i + j, p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = 0\nfor i in range(n):\n    for j in range(m):\n        ans += min(a[i] + b[j], p)\nprint(ans)",
                "n, m, p = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nans = 0\nfor i in range(n):\n    for j in range(m):\n        ans += min(a[i] + b[j], p)\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from math import log2, ceil, floor\n\nfor _ in range(int(input())):\n    n, x, k = map(int, input().split())\n    x = log2(x)\n    if k == 0:\n        print(floor(x) + 1)\n    elif k == 1:\n        print(ceil(x) + 1)\n    elif k == 2:\n        print(2 ** (ceil(x)) - 2 ** (floor(x)))\n    else:\n        print(2 ** (k - 1))",
                "from math import log2\n\n\ndef f(n, x, k):\r\n    if k == 0:\r\n        return 1 if x == n else 0\r\n    if k == 1:\r\n        return int(log2(n)) + 1 if x == n else 1 if x * 2 <= n else 0\r\n    if k == 2:\r\n        return n - x * 2 + 1 if x * 2 <= n else 0\r\n    if k >= 3:\r\n        if x * 2**k - 2**k + 1 > n:\r\n            return 0\r\n        if x * 2 ** (k - 1) - 2 ** (k - 1) + 1 <= n:\r\n            return 2 ** (k - 1)\r\n        else:\r\n            return 2 ** (k - 1) - (n - x * 2 ** (k - 1) + 1) + 1\r\n\r\n\r\nt = int(input())\r\nfor _ in range(t):\r\n    n, x, k = map(int, input().split())\r\n    print(f(n, x, k))\r",
                "import sys\n\ninput = sys.stdin.readline\nfor _ in range(int(input())):\n    n, x, k = map(int, input().split())\n    if k == 0:\n        print(1)\n    elif k == 1:\n        print(2 ** (x - 1))\n    elif k == 2:\n        print(2 ** x - 2 ** (x - 1) - 1)\n    elif k == 3:\n        print(2 ** (x - 1) + 1)\n    else:\n        print(0)",
                "def solve(N, X, K):\r\n    if K == 0:\r\n        return 1 if X == 1 else 0\r\n    if K == 1:\r\n        return 2 ** (X - 1)\r\n    if K == 2:\r\n        return 2 ** (N - X) - 2 ** (N - X - 1)\r\n    if K % 2 == 0:\r\n        return 2 ** (N - K // 2) - 2 ** (N - K // 2 - 1)\r\n    else:\r\n        return 2 ** (N - K // 2 - 1)\r\n\r\nT = int(input())\r\nfor _ in range(T):\r\n    N, X, K = map(int, input().split())\r\n    print(solve(N, X, K))\r",
                "from math import log2\n\n\ndef main():\n    t = int(input())\n    for _ in range(t):\n        n, x, k = map(int, input().split())\n        x = log2(x)\n        if k == 0:\n            print(2 ** (int(x) - 1))\n        elif k == 1:\n            print(2 ** (int(x) - 1) * 2 - 1)\n        elif k == int(x):\n            print(1)\n        elif k < int(x):\n            print(2 ** (k - 1))\n        else:\n            print(2 ** (int(x) - 1))\n\n\nmain()",
                "def f(n, x, k):\r\n    if k == 0:\r\n        return 1 if x == 1 else 0\r\n    if k == 1:\r\n        return 2 ** (x - 1)\r\n    if k == 2:\r\n        return 2 ** (n - x) - 2 ** (n - x - 1)\r\n    if k % 2 == 1:\r\n        return 2 ** (n - x - (k - 1) // 2) - 2 ** (n - x - (k + 1) // 2)\r\n    else:\r\n        return 2 ** (n - x - k // 2)\r\n\r\nt = int(input())\r\nfor _ in range(t):\r\n    n, x, k = map(int, input().split())\r\n    print(f(n, x, k))\r",
                "import sys\n\ninput = sys.stdin.readline\nT = int(input())\nfor _ in range(T):\n    N, X, K = map(int, input().split())\n    if K == 0:\n        if X == 1:\n            print(1)\n        else:\n            print(2 ** (X - 1).bit_length())\n    else:\n        if X == 1:\n            print(2 ** (K - 1))\n        else:\n            X -= 1\n            K -= 1\n            if X & 1:\n                print(2 ** K)\n            else:\n                print(2 ** (K - 1))",
                "from math import log2, ceil, floor\n\nfor _ in range(int(input())):\n    n, x, k = map(int, input().split())\n    x = log2(x)\n    if k == 0:\n        print(floor(x) + 1)\n    elif k == 1:\n        print(ceil(x) + 1)\n    else:\n        if k % 2 == 0:\n            print(2 ** (k // 2))\n        else:\n            print(2 ** (k // 2 + 1) - 2)",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nfor _ in range(int(input())):\n    n, x, k = map(int, input().split())\n    if k == 0:\n        if x == 1:\n            print(1)\n        else:\n            print(2 ** (x - 1).bit_length())\n    elif k == 1:\n        if x == 1:\n            print(0)\n        else:\n            print(2 ** (x - 1).bit_length() - 1)\n    else:\n        if x == 1:\n            print(2 ** (k - 1))\n        else:\n            print(2 ** (k - 1) + (2 ** (x - 1).bit_length() - 1) * (2 ** (k - 2)))",
                "from sys import stdin, stdout\n\ninput = stdin.readline\n\nfor _ in range(int(input())):\n    n, x, k = map(int, input().split())\n    x = n - x + 1\n    if k == 0:\n        print(1)\n    elif k == 1:\n        print(x // 2)\n    else:\n        if x % (2**k) == 0:\n            print(2 ** (k - 1))\n        else:\n            print(2 ** k)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        return\nprint(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        exit()\nprint(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        return\nprint(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        return\nprint(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i : i + 3] == \"ABC\":\n        print(i + 1)\n        return\nprint(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i:i + 3] == \"ABC\":\n        print(i + 1)\n        return\nprint(-1)",
                "n = int(input())\ns = input()\n\nfor i in range(n - 2):\n    if s[i:i + 3] == \"ABC\":\n        print(i + 1)\n        return\nprint(-1)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\ns = input()\nt = input()\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)",
                "n, m = map(int, input().split())\r\ns = input()\r\nt = input()\r\n\r\nif t[:n] == s:\r\n    if t[-n:] == s:\r\n        print(0)\r\n    else:\r\n        print(1)\r\nelif t[-n:] == s:\r\n    print(2)\r\nelse:\r\n    print(3)\r",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)",
                "n, m = map(int, input().split())\r\ns = input()\r\nt = input()\r\n\r\nif t[:n] == s:\r\n    if t[-n:] == s:\r\n        print(0)\r\n    else:\r\n        print(1)\r\nelif t[-n:] == s:\r\n    print(2)\r\nelse:\r\n    print(3)\r",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)",
                "n, m = map(int, input().split())\r\ns = input()\r\nt = input()\r\n\r\nif t[:n] == s:\r\n    if t[-n:] == s:\r\n        print(0)\r\n    else:\r\n        print(1)\r\nelif t[-n:] == s:\r\n    print(2)\r\nelse:\r\n    print(3)\r",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nif t[:n] == s:\n    if t[-n:] == s:\n        print(0)\n    else:\n        print(1)\nelif t[-n:] == s:\n    print(2)\nelse:\n    print(3)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(m):\n    d[a[i]] = i\n\nfor i in range(1, n + 1):\n    if i in d:\n        print(0)\n    else:\n        print(d[i + 1] - d[i])",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\n\r\nfor i in range(n):\r\n    print((min([j for j in a if j >= i + 1]) - (i + 1)))\r",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\n\r\nd = {}\r\nfor i in range(m):\r\n    d[a[i]] = i\r\n\r\nfor i in range(1, n + 1):\r\n    print(d.get(i, d[n]) - d.get(i, n))\r",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(m):\n    d[a[i]] = i\n\nfor i in range(1, n + 1):\n    if i in d:\n        print(0)\n    else:\n        print(d[i + 1] - d[i])",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\n\r\nfor i in range(n):\r\n    print((min([j for j in a if j >= i + 1]) - (i + 1)))\r",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(m):\n    d[a[i]] = i\n\nfor i in range(1, n + 1):\n    print(d.get(i, d[n]) - d.get(i, n))",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\n\r\nd = [0] * (n + 1)\r\nfor i in a:\r\n    d[i] = 1\r\n\r\nfor i in range(1, n + 1):\r\n    if d[i] == 0:\r\n        d[i] = d[i - 1] + 1\r\n\r\nfor i in d[1:]:\r\n    print(i)\r",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\n\nd = {}\nfor i in range(m):\n    d[a[i]] = i\n\nfor i in range(1, n + 1):\n    if i in d:\n        print(0)\n    else:\n        print(d[i + 1] - d[i])",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\n\ndays = [0] * (n + 1)\nfor i in a:\n    days[i] = 0\n\nfor i in range(n - 2, -1, -1):\n    days[i] = days[i + 1]\n\nfor i in range(n):\n    print(days[i])",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\n\r\nfor i in range(n):\r\n    print((min([j for j in a if j > i]) - i - 1))\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def rot(p):\n    return [\n        [\"#\" if c == \"#\" else \".\" for c in p[0]],\n        [\"#\" if r[0] == \"#\" else \".\" for r in p],\n        [\n            \"#\" if c == \"#\" else \".\"\n            for c in \"\".join([r[-1] for r in p])[::-1]\n        ],\n        [\n            \"#\" if r[-1] == \"#\" else \".\"\n            for r in p[::-1]\n        ],\n    ]\n\n\ndef can_place(p, x, y):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \"#\" and (i + y < 0 or j + x < 0 or i + y >= 4 or j + x >= 4):\n                return False\n            if p[i][j] == \"#\" and grid[i + y][j + x] == \"#\":\n                return False\n            if p[i][j] == \"#\":\n                grid[i + y][j + x] = \"#\"\n    return True\n\n\ngrid = [list(input()) for _ in range(4)]\np = [list(input()) for _ in range(4, 16, 4)]\nfor i in range(4):\n    for j in range(4):\n        for k in range(3):\n            for l in range(4):\n                for m in range(4):\n                    if can_place(rot(p)[k], j, i):\n                        for n in range(4):\n                            for o in range(4):\n                                if can_place(rot(p)[l], n, o):\n                                    for q in range(4):\n                                        for r in range(4):\n                                            if can_place(rot(p)[m], q, r):\n                                                print(\"Yes\")\n                                                exit()\nprint(\"No\")",
                "from itertools import chain\n\np = [input() for _ in range(12)]\n\nps = []\nfor i in range(3):\n    for j in range(4):\n        for k in range(4):\n            if p[4 * i + j][k] == \"#\":\n                ps.append((i, j, k))\n\ndef rot(x, y):\n    return (y, -x)\n\ndef ok(ps):\n    m = [[0] * 4 for _ in range(4)]\n    for i, j, k in ps:\n        m[j][k] = 1\n    for i in range(4):\n        for j in range(1, 4):\n            if m[i][j - 1] and not m[i][j]:\n                return False\n        for j in range(4):\n            if m[i][j] and m[i + 1][j] and i < 3:\n                return False\n    return True\n\nfor i in range(4):\n    for j in range(4):\n        for k in range(4):\n            for l in range(4):\n                if ok(list(chain.from_iterable((rot(x - i, y - j) for x, y in ps)))):\n                    print(\"Yes\")\n                    return\nprint(\"No\")",
                "from itertools import chain\n\np = [list(input()) for _ in range(12)]\n\nt = [\n    [\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 2, 3], [1, 2, 3, 0], [2, 3, 0, 1], [3, 0, 1, 2]]]],\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 3, 2], [1, 0, 2, 3], [2, 3, 1, 0], [3, 2, 0, 1]]]],\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 2, 3], [2, 3, 0, 1], [1, 0, 3, 2], [3, 2, 1, 0]]]],\n    ],\n    [\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 2, 3], [1, 2, 3, 0], [2, 3, 1, 0], [3, 0, 1, 2]]]],\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 3, 2], [1, 0, 2, 3], [2, 3, 1, 0], [3, 2, 0, 1]]]],\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 2, 3], [2, 3, 0, 1], [1, 0, 3, 2], [3, 2, 1, 0]]]],\n    ],\n    [\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 2, 3], [1, 2, 3, 0], [2, 3, 0, 1], [3, 0, 1, 2]]]],\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 3, 2], [1, 0, 2, 3], [2, 3, 0, 1], [3, 2, 1, 0]]]],\n        [[[0, 1, 2, 3], [1, 0, 3, 2], [2, 3, 0, 1], [3, 2, 1, 0]], [[[0, 1, 2, 3], [2, 3, 1, 0], [1, 0, 3, 2], [3, 2, 0, 1]]]],\n    ],\n]\n\nfor i in range(3):\n    for j in range(4):\n        for k in range(4):\n            for l in range(4):\n                for m in range(2):\n                    for n in range(2):\n                        q = [[[0, 0, 0, 0] for _ in range(4)] for _ in range(4)]\n                        for x in range(4):\n                            for y in range(4):\n                                if p[4 * i + x][4 * j + y] == \"#\":\n                                    q[x + k][y + l][t[m][n][x][y]] = 1\n                        if all(\n                            chain(\n                                *(\n                                    chain(\n                                        *(\n                                            chain(\n                                                *(q[x][y] for y in range(4))\n                                            for x in range(4)\n                                        )\n                                    )\n                                    for _ in range(4)\n                                )\n                            )\n                        )):\n                            print(\"Yes\")\n                            exit()\nprint(\"No\")",
                "from itertools import permutations\n\np = [list(input()) for _ in range(12)]\n\ndef rot(p):\n    return [[\"\".join(r[i] for r in p)] + [r[-1]] + [\"\".join(r[::-1][i] for r in p[1:-1])] for i in range(4)]\n\ndef can(p):\n    for i in range(4):\n        for j in range(4):\n            if all(p[k][l] in [\".\", \"#\"] for k in range(4) for l in range(4)) and \\\n               all(p[k][l] == \"#\" for k in range(i, i + 4) for l in range(j, j + 4)):\n                return True\n    return False\n\nfor t in permutations(p, 3):\n    for p1 in rot(t[0]):\n        for p2 in rot(t[1]):\n            for p3 in rot(t[2]):\n                if can(p1 + p2 + p3):\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nP = [list(input().rstrip()) for _ in range(12)]\n\nfor i in range(4):\n    for j in range(4):\n        for k in range(3):\n            for l in range(4):\n                for m in range(4):\n                    for n in range(4):\n                        if all(\n                            P[4 * k + a][4 * l + b] == \".\"\n                            or P[4 * k + a][4 * l + b]\n                            == P[4 * i + a + j][4 * m + b + n]\n                            for a in range(4)\n                            for b in range(4)\n                        ):\n                            if all(\n                                P[4 * i + a + j][4 * m + b + n] == \".\"\n                                or P[4 * i + a + j][4 * m + b + n]\n                                == P[4 * k + a][4 * l + b]\n                                for a in range(4)\n                                for b in range(4)\n                            ):\n                                if all(\n                                    P[4 * i + a + j][4 * m + b + n] == \"#\"\n                                    for a in range(4)\n                                    for b in range(4)\n                                ):\n                                    print(\"Yes\")\n                                    exit()\nprint(\"No\")",
                "from itertools import permutations\n\np = [list(input()) for _ in range(12)]\n\np1 = [[j for j in i if j == \"#\"] for i in p[:4]]\np2 = [[j for j in i if j == \"#\"] for i in p[4:8]]\np3 = [[j for j in i if j == \"#\"] for i in p[8:]]\n\ndef check(a, b, c):\n    for i in range(4):\n        for j in range(4):\n            if a[i][j] == \"#\" or b[i][j] == \"#\" or c[i][j] == \"#\":\n                if (\n                    a[i][j] == \"#\" and b[i][j] == \"#\"\n                    or a[i][j] == \"#\" and c[i][j] == \"#\"\n                    or b[i][j] == \"#\" and c[i][j] == \"#\"\n                ):\n                    return False\n                if (\n                    a[i][j] == \"#\"\n                    and b[i][j] != \"#\"\n                    and c[i][j] != \"#\"\n                    and (i + j) % 2 == 0\n                ):\n                    return False\n                if (\n                    b[i][j] == \"#\"\n                    and a[i][j] != \"#\"\n                    and c[i][j] != \"#\"\n                    and (i + j + 1) % 2 == 0\n                ):\n                    return False\n                if (\n                    c[i][j] == \"#\"\n                    and a[i][j] != \"#\"\n                    and b[i][j] != \"#\"\n                    and (i + j + 2) % 2 == 0\n                ):\n                    return False\n    return True\n\n\nfor a in permutations(p1):\n    for b in permutations(p2):\n        for c in permutations(p3):\n            if check(a, b, c):\n                print(\"Yes\")\n                return\nprint(\"No\")",
                "def rot(p):\n    return [\n        [\"#\" if p[3 - j][i] == \"#\" else \".\" for j in range(4)] for i in range(4)\n    ]\n\n\ndef flip(p):\n    return [p[i][::-1] for i in range(4)]\n\n\ndef can_place(grid, p, r, c):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \"#\" and (r + i < 0 or c + j < 0 or r + i >= 4 or (c + j >= 4)):\n                return False\n            if p[i][j] == \"#\" and grid[r + i][c + j] == \"#\":\n                return False\n            if p[i][j] == \"#\":\n                grid[r + i][c + j] = \"#\"\n    return True\n\n\ndef place(grid, p, r, c):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \"#\":\n                grid[r + i][c + j] = \"#\"\n\n\ndef remove(grid, p, r, c):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \"#\":\n                grid[r + i][c + j] = \".\"\n\n\ndef solve(grid, p):\n    for r in range(4):\n        for c in range(4):\n            if can_place(grid, p, r, c):\n                place(grid, p, r, c)\n                return True\n            for _ in range(3):\n                p = rot(p)\n                if can_place(grid, p, r, c):\n                    place(grid, p, r, c)\n                    return True\n                p = flip(p)\n    return False\n\n\ndef main():\n    p = []\n    for _ in range(3):\n        p.append([])\n        for i in range(4):\n            s = input()\n            p[-1].append(list(s))\n    grid = [[\".\"] * 4 for _ in range(4)]\n    if solve(grid, p[0]):\n        if solve(grid, p[1]):\n            if solve(grid, p[2]):\n                print(\"Yes\")\n                return\n    print(\"No\")\n\n\nmain()",
                "from itertools import permutations\n\nP = [list(input()) for _ in range(12)]\n\ndef rot(p):\n    return [list(x)[::-1] for x in zip(*p)]\n\ndef flip(p):\n    return [x[::-1] for x in p][::-1]\n\ndef can(p1, p2, p3):\n    for i in range(4):\n        for j in range(4):\n            g = [[0] * 4 for _ in range(4)]\n            for pi in range(3):\n                for r in range(4):\n                    for c in range(4):\n                        if p1[pi][r][c] == \"#\":\n                            g[r + i][c + j] = 1\n            if all(all(x) for x in g):\n                return True\n            for r in range(4):\n                for c in range(4):\n                    if g[r][c] == 0:\n                        break\n                else:\n                    return True\n    return False\n\nfor p1 in permutations(P, 3):\n    for p2 in permutations(p1):\n        for p3 in permutations(p2):\n            if can(p1, p2, p3):\n                print(\"Yes\")\n                return\nprint(\"No\")",
                "def rot(p):\n    return [\n        [\"#\" if \"#\" in p[j] else \".\" for j in range(4)]\n        for i in range(4)[::-1]\n    ]\n\n\ndef flip(p):\n    return [p[i][::-1] for i in range(4)]\n\n\ndef can_place(p, x, y):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \"#\" and (i + x < 0 or j + y < 0 or i + x >= 4 or j + y >= 4):\n                return False\n            if p[i][j] == \"#\" and grid[i + x][j + y] == \"#\":\n                return False\n            if p[i][j] == \"#\":\n                grid[i + x][j + y] = \"#\"\n    return True\n\n\ngrid = [[\".\"] * 4 for i in range(4)]\np = []\nfor i in range(3):\n    s = input()\n    p.append([list(s[j * 4 : j * 4 + 4]) for j in range(4)])\n    for j in range(3):\n        p[i].append(rot(p[i][-1]))\n    p[i].append(flip(p[i][-1]))\n    p[i].append(rot(p[i][-1]))\n    p[i].append(flip(p[i][-1]))\n    p[i].append(rot(p[i][-1]))\nfor i in range(3):\n    for j in range(8):\n        for k in range(4):\n            for l in range(4):\n                if can_place(p[i][j], k, l):\n                    print(\"Yes\")\n                    exit()\nprint(\"No\")",
                "from itertools import permutations\n\np = []\nfor i in range(3):\n    p.append([list(input()) for _ in range(4)])\n\ndef rot(p):\n    return [list(x)[::-1] for x in zip(*p)]\n\ndef can(p):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \".\":\n                return False\n    return True\n\ndef ok(p, q):\n    for i in range(4):\n        for j in range(4):\n            if p[i][j] == \"#\" and q[i][j] == \"#\":\n                return False\n    return True\n\ndef solve(p):\n    for pi in permutations(p):\n        for pj in pi:\n            for k in range(4):\n                pj = rot(pj)\n                if can(pj) and ok(pi[0], pj) and ok(pi[1], pj):\n                    return True\n    return False\n\nprint(\"Yes\" if solve(p) else \"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nn, k, p = map(int, input().split())\n\nINF = 10**15\ndp = [[INF] * (p + 1) for i in range(k + 1)]\ndp[0][0] = 0\n\nfor i in range(n):\n    c, *a = map(int, input().split())\n    for j in range(k, -1, -1):\n        for l in range(p, -1, -1):\n            if l + a[j] <= p:\n                dp[j + 1][l + a[j]] = min(dp[j + 1][l + a[j]], dp[j][l] + c)\n\nans = INF\nfor i in range(p, -1, -1):\n    ans = min(ans, dp[k][i])\n\nif ans == INF:\n    print(-1)\nelse:\n    print(ans)",
                "from itertools import chain\n\nN, K, P = map(int, input().split())\nCA = [list(map(int, input().split())) for _ in range(N)]\n\nINF = 10**18\ndp = [[INF] * (P + 1) for _ in range(1 << K)]\ndp[0][0] = 0\nfor c, *a in CA:\n    for i in range(1 << K):\n        for j in range(P + 1):\n            if dp[i][j] == INF:\n                continue\n            for k in range(K):\n                if i >> k & 1:\n                    continue\n                dp[i | 1 << k][j + a[k]] = min(dp[i | 1 << k][j + a[k]], dp[i][j] + c)\n\nans = INF\nfor i in range(1 << K):\n    t = [0] * K\n    for j in range(K):\n        if i >> j & 1:\n            for k in range(K):\n                t[k] += CA[j][k + 1]\n    if all(map(lambda x: x >= P, t)):\n        ans = min(ans, dp[i][P])\nprint(ans if ans != INF else -1)",
                "from itertools import accumulate, chain, combinations\n\nN, K, P = map(int, input().split())\nplans = [list(map(int, input().split())) for _ in range(N)]\nplans.sort(key=lambda x: -sum(x[1:]))\n\ncosts = [0] * (P + 1)\nfor c, *a in plans:\n    costs = list(accumulate(chain(costs, [c + sum(a)])))\n\nans = float(\"inf\")\nfor i in range(P + 1):\n    for comb in combinations(range(i, P + 1), K):\n        if all(costs[i] >= P for i in comb):\n            ans = min(ans, costs[i] - costs[i - 1])\n\nprint(ans if ans < float(\"inf\") else -1)",
                "import sys\n\ninput = sys.stdin.readline\n\nn, k, p = map(int, input().split())\n\nplans = []\nfor i in range(n):\n    plans.append(list(map(int, input().split())))\n\ndp = [[float(\"inf\")] * (p + 1) for i in range(k + 1)]\ndp[0][0] = 0\n\nfor c, *a in plans:\n    for i in range(k, -1, -1):\n        for j in range(p, -1, -1):\n            if j + sum(a[:i]) >= p:\n                dp[i][j + sum(a[:i])] = min(dp[i][j + sum(a[:i])], dp[i - 1][j] + c)\n\nans = float(\"inf\")\nfor i in range(p + 1):\n    ans = min(ans, dp[k][i])\n\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, P = map(int, input().split())\n\nplans = []\nfor i in range(N):\n    C, *A = map(int, input().split())\n    plans.append((C, A))\n\ndp = [float(\"inf\")] * (1 << K)\ndp[0] = 0\n\nfor C, A in plans:\n    for i in range(1 << K):\n        for j in range(K):\n            if i >> j & 1:\n                continue\n            dp[i | 1 << j] = min(dp[i | 1 << j], dp[i] + C)\n            for k in range(K):\n                dp[i | 1 << j] -= A[k]\n\nans = float(\"inf\")\nfor i in range(1 << K):\n    ok = True\n    for j in range(K):\n        if i >> j & 1:\n            continue\n        if dp[i] - P < 0:\n            ok = False\n            break\n        dp[i] -= P\n    if ok:\n        ans = min(ans, dp[i])\n\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "from itertools import accumulate\nfrom operator import itemgetter\n\nN, K, P = map(int, input().split())\nCA = [list(map(int, input().split())) for _ in range(N)]\n\nCA.sort(key=itemgetter(0))\n\nINF = float(\"inf\")\ndp = [[[INF] * (P + 1) for _ in range(1 << K)] for _ in range(N + 1)]\ndp[0][0][0] = 0\n\nfor i, (c, *a) in enumerate(CA, 1):\n    for s in range(1 << K):\n        for p in range(P + 1):\n            dp[i][s][p] = dp[i - 1][s][p]\n            if p + sum(a[j] for j in range(K) if s >> j & 1) <= P:\n                dp[i][s | sum(1 << j for j in range(K) if a[j])][p + sum(a[j] for j in range(K) if s >> j & 1)] = min(\n                    dp[i][s | sum(1 << j for j in range(K) if a[j])][p + sum(a[j] for j in range(K) if s >> j & 1)],\n                    dp[i - 1][s][p] + c,\n                )\n\nans = min((dp[N][(1 << K) - 1][p] for p in range(P + 1) if dp[N][(1 << K) - 1][p] != INF), default=-1)\nprint(ans)",
                "from itertools import accumulate\nfrom collections import deque\n\nN, K, P = map(int, input().split())\nplans = [list(map(int, input().split())) for _ in range(N)]\n\nINF = float(\"inf\")\ndp = [[[INF] * (P + 1) for _ in range(1 << K)] for _ in range(N + 1)]\ndp[0][0][0] = 0\n\nfor i in range(N):\n    for j in range(1 << K):\n        for k in range(P + 1):\n            if dp[i][j][k] == INF:\n                continue\n            for l in range(K):\n                if j >> l & 1:\n                    continue\n                v = plans[i][1 + l]\n                if k + v > P:\n                    continue\n                dp[i + 1][j | 1 << l][k + v] = min(\n                    dp[i + 1][j | 1 << l][k + v], dp[i][j][k] + plans[i][0]\n                )\n\nans = INF\nfor j in range(1 << K):\n    for k in range(P + 1):\n        ans = min(ans, dp[N][j][k])\n\nif ans == INF:\n    ans = -1\nprint(ans)",
                "from itertools import chain, combinations\n\nn, k, p = map(int, input().split())\nplans = [list(map(int, input().split())) for _ in range(n)]\n\nplans.sort(key=lambda x: -sum(x[1:]))\n\ncosts = [plan[0] for plan in plans]\n\ndp = [[float(\"inf\")] * (1 << k) for _ in range(n + 1)]\ndp[0][0] = 0\n\nfor i in range(n):\n    for j in range((1 << k) - 1, -1, -1):\n        dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n        for comb in chain(combinations(range(k), 1), combinations(range(k), 2)):\n            if j | (1 << comb[0]) | (1 << comb[1]):\n                dp[i + 1][j | (1 << comb[0]) | (1 << comb[1])] = min(\n                    dp[i + 1][j | (1 << comb[0]) | (1 << comb[1])],\n                    dp[i][j] + costs[i],\n                )\n\nans = float(\"inf\")\nfor j in range((1 << k) - 1, -1, -1):\n    if all(dp[-1][j] >= p):\n        ans = min(ans, dp[-1][j])\n\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "from itertools import chain\n\nN, K, P = map(int, input().split())\nplans = [list(map(int, input().split())) for _ in range(N)]\nplans.sort(key=lambda x: -sum(x[1:]))\n\ndp = [[float(\"inf\")] * (1 << K) for _ in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    for j in range(1 << K):\n        if dp[i][j] == float(\"inf\"):\n            continue\n        for k in range(K):\n            if plans[i][k + 1] > 0 and j >> k & 1 == 0:\n                dp[i + 1][j | 1 << k] = min(\n                    dp[i + 1][j | 1 << k], dp[i][j] + plans[i][0]\n                )\n\nans = float(\"inf\")\nfor i in range(1 << K):\n    if all(bin(i).count(\"1\") >= P for _ in range(K)):\n        ans = min(ans, dp[N][i])\n\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K, P = map(int, input().split())\n\nC = []\nA = []\nfor i in range(N):\n    C_i, *A_i = map(int, input().split())\n    C.append(C_i)\n    A.append(A_i)\n\nINF = 10**18\ndp = [[INF] * (P + 1) for i in range(K + 1)]\ndp[0][0] = 0\nfor i in range(N):\n    for j in range(K, -1, -1):\n        for k in range(P, -1, -1):\n            dp[j + 1][k] = min(dp[j + 1][k], dp[j][k])\n            if k - A[i][j - 1] >= 0:\n                dp[j][k - A[i][j - 1]] = min(\n                    dp[j][k - A[i][j - 1]], dp[j][k] + C[i]\n                )\n\nans = INF\nfor i in range(P + 1):\n    ans = min(ans, dp[K][i])\nif ans == INF:\n    ans = -1\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nfor i in range(2, 17, 2):\n    if s[i - 1] != \"0\":\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nwins = [0] * n\r\nfor i in range(n):\r\n    s = input()\r\n    for j in range(n):\r\n        if s[j] == 'o':\r\n            wins[i] += 1\r\n\r\nfor i in sorted(range(n), key=lambda x: (-wins[x], x)):\r\n    print(i + 1, end=' ')\r",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\n\r\nrank = [0] * n\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if s[i][j] == 'o':\r\n            rank[i] += 1\r\n\r\nrank_sorted = sorted(range(n), key=lambda i: (-rank[i], i))\r\nprint(*[i + 1 for i in rank_sorted])\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    s = input()\r\n    a.append([s.count('o'), i + 1])\r\na.sort(reverse=True)\r\nfor i in range(n):\r\n    print(a[i][1], end=' ')\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    s = input()\r\n    a.append([s.count('o'), i + 1])\r\na.sort(reverse=True)\r\nfor i in range(n):\r\n    print(a[i][1], end=' ')\r",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\n\r\nwins = [0] * n\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if s[i][j] == \"o\":\r\n            wins[i] += 1\r\n\r\nprint(*sorted(range(1, n + 1), key=lambda i: (-wins[i - 1], i)))\r",
                "n = int(input())\r\n\r\nwins = [0] * n\r\nfor i in range(n):\r\n    s = input()\r\n    for j in range(n):\r\n        if s[j] == 'o':\r\n            wins[i] += 1\r\n\r\nranking = sorted(range(n), key=lambda i: (-wins[i], i))\r\nprint(*[i + 1 for i in ranking])\r",
                "n = int(input())\r\na = [0] * n\r\nfor i in range(n):\r\n    s = input()\r\n    for j in range(n):\r\n        if s[j] == 'o':\r\n            a[i] += 1\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        if a[i] < a[j] or a[i] == a[j] and i > j:\r\n            a[i], a[j] = a[j], a[i]\r\nprint(*a)\r",
                "n = int(input())\r\n\r\nwins = [0] * n\r\nfor i in range(n):\r\n    s = input()\r\n    for j in range(n):\r\n        if s[j] == 'o':\r\n            wins[i] += 1\r\n\r\nfor i in sorted(range(n), key=lambda x: (-wins[x], x)):\r\n    print(i + 1, end=' ')\r",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\n\r\nscores = [0] * n\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if s[i][j] == \"o\":\r\n            scores[i] += 1\r\n\r\nrank = sorted(range(n), key=lambda i: (-scores[i], i))\r\nprint(*[i + 1 for i in rank])\r",
                "n = int(input())\r\n\r\nwins = [0] * n\r\n\r\nfor i in range(n):\r\n    s = input()\r\n    for j in range(n):\r\n        if s[j] == 'o':\r\n            wins[i] += 1\r\n\r\nranks = sorted(range(n), key=lambda x: (-wins[x], x))\r\n\r\nprint(*[i + 1 for i in ranks])\r"
            ],
            "pass1_list": [
                true,
                true,
                false,
                false,
                true,
                true,
                false,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = []\nfor i in range(n):\n    s.append(input())\n\nfor i in range(n):\n    score = i + 1\n    for j in range(m):\n        if s[i][j] == \"o\":\n            score += a[j]\n    max_score = score\n    for j in range(n):\n        if i != j:\n            tmp_score = j + 1\n            for k in range(m):\n                if s[j][k] == \"o\":\n                    tmp_score += a[k]\n            max_score = max(max_score, tmp_score)\n    cnt = 0\n    for j in range(m):\n        if s[i][j] == \"x\":\n            cnt += 1\n            score += a[j]\n            if score > max_score:\n                break\n    print(cnt)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = i + 1\n    for j in range(m):\n        if s[i][j] == \"o\":\n            score += a[j]\n    max_score = score\n    for k in range(n):\n        if i == k:\n            continue\n        tmp_score = k + 1\n        for l in range(m):\n            if s[k][l] == \"o\":\n                tmp_score += a[l]\n        max_score = max(max_score, tmp_score)\n    cnt = 0\n    for j in range(m):\n        if s[i][j] == \"x\":\n            cnt += 1\n            tmp_score = score + a[j]\n            if tmp_score > max_score:\n                print(cnt)\n                break\n    else:\n        print(cnt)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = sorted([sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i])[-2]\n    diff = others - score\n    cnt = 0\n    for j in range(m):\n        if s[i][j] == \"x\" and a[j] >= diff:\n            cnt += 1\n            diff = 0\n            if a[j] > diff:\n                diff = a[j] - diff\n    print(cnt + (1 if diff else 0))",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = [\n        sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i\n    ]\n    print(len(others) - (sum(1 for x in others if x <= score) > 0))",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = [\n        sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i\n    ]\n    print(len(others) - (len(others) - 1).bit_length() - (max(others) < score))",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = i + 1\n    for j in range(m):\n        if s[i][j] == \"o\":\n            score += a[j]\n    max_score = score\n    for j in range(n):\n        if i != j:\n            tmp_score = j + 1\n            for k in range(m):\n                if s[j][k] == \"o\":\n                    tmp_score += a[k]\n            max_score = max(max_score, tmp_score)\n    cnt = 0\n    for j in range(m):\n        if s[i][j] == \"x\":\n            cnt += 1\n            score += a[j]\n            if score > max_score:\n                break\n    print(cnt)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = [sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i]\n    print(len(others) - (1 + len([x for x in others if x < score])))",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = [sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i]\n    print(len(others) - others.count(score) - 1)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = sorted([sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i])[-2]\n    diff = others - score\n    cnt = 0\n    for j in range(m):\n        if s[i][j] == \"x\" and a[j] >= diff:\n            cnt += 1\n            diff = 0\n            break\n        elif s[i][j] == \"x\":\n            cnt += 1\n            diff -= a[j]\n    print(cnt)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\ns = [input() for _ in range(n)]\n\nfor i in range(n):\n    score = sum(a[j] for j in range(m) if s[i][j] == \"o\") + i + 1\n    others = [\n        sum(a[j] for j in range(m) if s[k][j] == \"o\") + k + 1 for k in range(n) if k != i\n    ]\n    print(len(others) - (sum(1 for x in others if x <= score) > 0))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(int, input().split())\n    a.append([s, c])\na.sort(key=lambda x: x[0])\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)",
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(int, input().split())\n    a.append([s, c])\na.sort(key=lambda x: x[0])\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)",
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(int, input().split())\n    a.append([s, c])\na.sort(key=lambda x: x[0])\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)",
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(int, input().split())\n    a.append([s, c])\na.sort(key=lambda x: x[0])\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)",
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(int, input().split())\n    a.append([s, c])\na.sort(key=lambda x: x[0])\n\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nsc = [list(map(int, input().split())) for i in range(n)]\nsc.sort(key=lambda x: x[0])\nans = 0\nfor i in range(n):\n    if sc[i][1] % 2 == 0:\n        sc[i][1] //= 2\n        ans += 1\nprint(ans + len(set(sc)))",
                "def main():\n    n = int(input())\n    a = []\n    for i in range(n):\n        s, c = map(int, input().split())\n        a.append((s, c))\n    a.sort()\n    cnt = 0\n    for s, c in a:\n        if c % 2 == 1:\n            cnt += 1\n    print(cnt)\n\n\nmain()",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append([x, y])\na.sort()\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\ns = []\nfor i in range(n):\n    si, ci = list(map(int, input().split()))\n    s.append([si, ci])\ns.sort()\nans = 0\nfor i in range(n):\n    if s[i][1] % 2 == 0:\n        ans += 1\n    else:\n        ans += 2\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(int, input().split())\n    a.append([s, c])\na.sort()\nans = 0\nfor i in range(n):\n    if a[i][1] % 2 == 1:\n        ans += 1\nprint(ans + (n + 1) // 2)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def modinv(a, m):\n    return pow(a, m - 2, m)\n\n\ndef main():\n    n, x = map(int, input().split())\n    t = list(map(int, input().split()))\n    t1 = t[0]\n    t.append(t1)\n    t.sort()\n    l = len(t)\n    m = 998244353\n    ans = 0\n    for i in range(l):\n        if t[i] <= x:\n            ans += modinv(n, m)\n            n -= 1\n        if t[i] <= x + 0.5:\n            ans -= modinv(n, m)\n    print(ans % m)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nn, x = map(int, input().split())\nt = list(map(int, input().split()))\n\nt1 = t[0]\n\ndp = [0] * (x + 1)\ndp[0] = 1\n\nfor i in range(n):\n    for j in range(x, t[i] - 1, -1):\n        dp[j] += dp[j - t[i]]\n        dp[j] %= mod\n\nans = 0\nfor i in range(t1 - 1, x + 1, t1):\n    ans += dp[i]\n    ans %= mod\n\nprint(ans * pow(n, mod - 2, mod) % mod)",
                "def main():\n    mod = 998244353\n    (n, x) = map(int, input().split())\n    t = list(map(int, input().split()))\n    t.sort()\n    t.insert(0, 0)\n    t.append(x + 1)\n    cnt = 0\n    for i in range(n):\n        if t[i + 1] - t[i] == t[1]:\n            cnt += 1\n    ans = pow(n, mod - 2, mod) * (n * t[1] - cnt) % mod\n    print(ans)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nn, x = map(int, input().split())\nt = list(map(int, input().split()))\n\nt1 = t[0]\n\ndp = [0] * (x + 1)\ndp[0] = 1\n\nfor i in range(n):\n    for j in range(x, t[i] - 1, -1):\n        dp[j] += dp[j - t[i]]\n        dp[j] %= mod\n\nans = 0\nfor i in range(t1 - 1, x + 1, t1):\n    ans += dp[i]\n    ans %= mod\n\nprint(ans * (n * pow(n - 1, mod - 2, mod)) % mod)",
                "from collections import defaultdict\nimport sys\n\nmod = 998244353\n(n, x) = map(int, sys.stdin.readline().split())\nt = list(map(int, sys.stdin.readline().split()))\nd = defaultdict(int)\nfor i in t:\n    d[i] += 1\nd[0] = 1\ns = sum(t)\np = [0] * (s + 1)\np[0] = 1\nfor i in d:\n    for j in range(s, i - 1, -1):\n        p[j] = (p[j] + p[j - i] * d[i]) % mod\nans = 0\nfor i in range(x + 1):\n    ans = (ans + p[x - i] * p[i]) % mod\nprint((ans * n) % mod)",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nn, x = map(int, input().split())\nt = list(map(int, input().split()))\n\nt1 = t[0]\n\ndp = [0] * (x + 1)\ndp[0] = 1\n\nfor i in range(n):\n    for j in range(x, t[i] - 1, -1):\n        dp[j] += dp[j - t[i]]\n        dp[j] %= mod\n\nans = 0\nfor i in range(t1, x + 1, t1):\n    ans += dp[i]\n    ans %= mod\n\nprint(ans * (n * pow(n - 1, mod - 2, mod)) % mod)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\n\ndef mul(a, b):\n    return (a * b) % mod\n\n\ndef add(a, b):\n    return (a + b) % mod\n\n\ndef sub(a, b):\n    return (a - b + mod) % mod\n\n\ndef inv(x):\n    return pow(x, mod - 2, mod)\n\n\ndef prob(x, y, z):\n    return mul(mul(x, y), inv(z))\n\n\ndef main():\n    n, x = map(int, input().split())\n    t = list(map(int, input().split()))\n    t.sort()\n    if x < t[0]:\n        print(0)\n        return\n    if x == t[0]:\n        print(inv(n))\n        return\n    if x > t[-1] * n:\n        print(0)\n        return\n    l = 0\n    r = x\n    while r - l > 1:\n        m = (l + r) // 2\n        if m // t[-1] >= n:\n            r = m\n        else:\n            l = m\n    x -= l\n    ans = 0\n    for i in range(n):\n        if x < t[i]:\n            ans = add(ans, prob(n - i, t[i] - x, t[-1]))\n        else:\n            ans = add(ans, prob(n - i, t[i], t[-1]))\n    print(ans)\n\n\nmain()",
                "def power(x, y, p):\n    res = 1\n    x = x % p\n    if x == 0:\n        return 0\n    while y > 0:\n        if (y & 1) == 1:\n            res = (res * x) % p\n        y = y >> 1\n        x = (x * x) % p\n    return res\n\n\ndef inverse(b, p):\n    return power(b, p - 2, p)\n\n\ndef gcd(a, b):\n    if b == 0:\n        return a\n    else:\n        return gcd(b, a % b)\n\n\ndef extendedEuclid(a, b):\n    if a == 0:\n        return (b, 0, 1)\n    else:\n        g, y, x = extendedEuclid(b % a, a)\n        return (g, x - (b // a) * y, y)\n\n\ndef modInverse(a, m):\n    g, x, y = extendedEuclid(a, m)\n    if g != 1:\n        raise Exception(\"Inverse doesn't exist\")\n    else:\n        return x % m\n\n\nmod = 998244353\nn, x = map(int, input().split())\nt = list(map(int, input().split()))\nt1 = t[0]\nt.remove(t1)\nt.append(t1)\ns = sum(t)\np = [0] * (x + 1)\np[0] = 1\nfor i in t:\n    for j in range(i - 1, -1, -1):\n        p[j] = (p[j] + p[j + 1]) % mod\nfor i in range(1, x + 1):\n    p[i] = p[i] * n % mod\ns = s * modInverse(n, mod) % mod\nans = 0\nfor i in range(t1 - 1, -1, -1):\n    if i + 0.5 > x:\n        break\n    ans = (ans + p[i] * inverse(t1 - i, mod)) % mod\nprint(ans)",
                "",
                "def modinv(n, p):\n    return pow(n, p - 2, p)\n\n\ndef main():\n    n, x = map(int, input().split())\n    t = list(map(int, input().split()))\n    t1 = t[0]\n    t.append(t1)\n    t.sort()\n    t.append(t1 + x)\n    m = 998244353\n    s = 0\n    for i in range(n + 1):\n        if t[i] <= t1 + x // 2 < t[i + 1]:\n            s += modinv(i + 1, m) * modinv(n - i, m)\n            s %= m\n    print(s)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nif len(set(a)) == 1:\r\n    print(\"Yes\")\r\nelse:\r\n    print(\"No\")\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import math\n\nn = int(input())\n\nfor i in range(100):\r\n    for j in range(100):\r\n        if 2**i * 3**j == n:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "import math\n\nn = int(input())\n\nfor i in range(100):\r\n    for j in range(100):\r\n        if 2**i * 3**j == n:\r\n            print(\"Yes\")\r\n            exit()\r\nprint(\"No\")",
                "n = int(input())\nfor i in range(100):\n    for j in range(100):\n        if 2**i * 3**j == n:\n            print(\"Yes\")\n            exit()\nprint(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = input().split()\nN = int(N)\n\nT_len = len(T)\n\nans = []\nfor i in range(N):\n    S = input().strip()\n    S_len = len(S)\n    if abs(S_len - T_len) > 1:\n        continue\n    if S_len > T_len:\n        if S[: T_len] == T or S[1 : T_len + 1] == T:\n            ans.append(i + 1)\n    elif S_len < T_len:\n        if T[:S_len] == S or T[1 : S_len + 1] == S:\n            ans.append(i + 1)\n    else:\n        if S == T:\n            ans.append(i + 1)\n        elif sum(a != b for a, b in zip(S, T)) == 1:\n            ans.append(i + 1)\n\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve(n, t, s):\n    ans = []\n    for i in range(n):\n        if len(s[i]) == len(t) + 1:\n            if t in s[i]:\n                ans.append(i + 1)\n        if len(s[i]) == len(t) - 1:\n            if any(t[:j] + t[j + 1 :] == s[i] for j in range(len(t))):\n                ans.append(i + 1)\n        if len(s[i]) == len(t):\n            if sum(a == b for a, b in zip(t, s[i])) == len(t) - 1:\n                ans.append(i + 1)\n        if s[i] == t:\n            ans.append(i + 1)\n    return ans\n\n\nn = int(input())\nt = input().strip()\ns = [input().strip() for _ in range(n)]\nans = solve(n, t, s)\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = input().split()\nN = int(N)\nT = T[::-1]\nL = []\nfor i in range(N):\n    L.append(input().rstrip()[::-1])\nL.append(T)\nL.sort()\nans = []\nfor i in range(N + 1):\n    if L[i] == T:\n        ans.append(i)\n    elif L[i].startswith(T) and len(L[i]) == len(T) + 1:\n        ans.append(i)\n    elif T.startswith(L[i]) and len(L[i]) == len(T) - 1:\n        ans.append(i)\n    elif L[i].startswith(T[:-1]) and L[i].endswith(T[-1]) and len(L[i]) == len(T):\n        ans.append(i)\nprint(len(ans))\nprint(*[i + 1 for i in ans])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = input().split()\nN = int(N)\n\nT = T.strip()\n\nL = []\nfor i in range(N):\n    L.append(input().strip())\n\nans = []\nfor i in range(N):\n    S = L[i]\n    if len(S) == len(T) + 1:\n        for j in range(len(S)):\n            if S[:j] + S[j + 1 :] == T:\n                ans.append(i + 1)\n                break\n    elif len(S) == len(T) - 1:\n        for j in range(len(S)):\n            if S[:j] + S[j + 1 :] == T:\n                ans.append(i + 1)\n                break\n    elif len(S) == len(T):\n        flag = 0\n        for j in range(len(S)):\n            if S[j] != T[j]:\n                if flag:\n                    break\n                else:\n                    flag = 1\n        else:\n            ans.append(i + 1)\n    elif len(S) < len(T) - 1 or len(S) > len(T) + 1:\n        continue\n    else:\n        flag = 0\n        for j in range(len(S)):\n            if S[j] != T[j] and S[j] != T[j - 1]:\n                if flag:\n                    break\n                else:\n                    flag = 1\n        else:\n            ans.append(i + 1)\n\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(str, input().split())\nS = [input().strip() for i in range(int(N))]\nT = set(T)\nans = []\nfor i in range(N):\n    if len(S[i]) == len(T) - 1:\n        if set(S[i]) <= T:\n            ans.append(i + 1)\n    elif len(S[i]) == len(T):\n        if set(S[i]) == T:\n            ans.append(i + 1)\n    elif len(S[i]) == len(T) + 1:\n        for j in range(len(S[i])):\n            if set(S[i][:j] + S[i][j + 1 :]) == T:\n                ans.append(i + 1)\n                break\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, t) = map(str, input().split())\ns = [input().strip() for i in range(n)]\nt = [i for i in t]\nans = []\nfor i in range(n):\n    if len(s[i]) == len(t) - 1:\n        if all(x == y for x, y in zip(s[i], t[: len(s[i])])):\n            ans.append(i + 1)\n        if all(x == y for x, y in zip(s[i], t[1:])):\n            ans.append(i + 1)\n    if len(s[i]) == len(t) + 1:\n        for j in range(len(t) + 1):\n            if all(\n                x == y for x, y in zip(s[i][:j], t[:j])\n            ) and all(x == y for x, y in zip(s[i][j:], t[j:])):\n                ans.append(i + 1)\n                break\n    if len(s[i]) == len(t):\n        flag = 0\n        for j in range(len(t)):\n            if s[i][j] != t[j]:\n                if flag == 1:\n                    break\n                else:\n                    flag = 1\n        else:\n            ans.append(i + 1)\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(str, input().split())\nS = [input().strip() for i in range(int(N))]\nT = [c for c in T]\nT_len = len(T)\nS_len = len(S)\nans = []\nfor i in range(S_len):\n    s = S[i]\n    s = [c for c in s]\n    s_len = len(s)\n    if s_len == T_len:\n        flag = 0\n        for j in range(s_len):\n            if s[j] != T[j]:\n                flag = 1\n                break\n        if flag == 0:\n            ans.append(i + 1)\n    elif s_len == T_len + 1:\n        flag = 0\n        for j in range(s_len):\n            if j < T_len and s[j] != T[j]:\n                flag = 1\n                break\n            elif j >= T_len:\n                if j - 1 >= 0 and s[j - 1] != T[j - 1]:\n                    flag = 1\n                    break\n                elif j + 1 < s_len and s[j + 1] != T[j - 1]:\n                    flag = 1\n                    break\n        if flag == 0:\n            ans.append(i + 1)\n    elif s_len == T_len - 1:\n        flag = 0\n        for j in range(s_len):\n            if j < T_len and s[j] != T[j]:\n                flag = 1\n                break\n        if flag == 0:\n            ans.append(i + 1)\n    else:\n        flag = 0\n        for j in range(s_len):\n            if j < T_len and s[j] != T[j]:\n                flag = 1\n                break\n            elif j >= T_len:\n                if j - 1 >= 0 and s[j - 1] != T[j - 1]:\n                    flag = 1\n                    break\n                elif j + 1 < T_len and s[j + 1] != T[j]:\n                    flag = 1\n                    break\n        if flag == 0:\n            ans.append(i + 1)\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(str, input().split())\nS = [input().strip() for i in range(int(N))]\nTlen = len(T)\nans = []\nfor i in range(N):\n    if len(S[i]) == Tlen:\n        ans.append(i + 1)\n    elif len(S[i]) == Tlen + 1:\n        for j in range(len(S[i])):\n            if S[i][j] == T[0] and S[i][len(S[i]) - 1] == T[len(T) - 1]:\n                ans.append(i + 1)\n                break\n            elif S[i][j] == T[len(T) - 1] and S[i][len(S[i]) - 1] == T[0]:\n                ans.append(i + 1)\n                break\n            elif j < len(S[i]) - 1 and S[i][j] == T[0] and S[i][j + 1] == T[len(T) - 1]:\n                ans.append(i + 1)\n                break\n            elif j < len(S[i]) - 1 and S[i][j] == T[len(j)] and S[i][j + 1] == T[len(T) - 1]:\n                ans.append(i + 1)\n                break\n    elif len(S[i]) == Tlen - 1:\n        for j in range(len(T)):\n            if S[i][j] != T[j]:\n                if j == len(S[i]):\n                    ans.append(i + 1)\n                    break\n                else:\n                    break\n        else:\n            ans.append(i + 1)\n    elif len(S[i]) == Tlen:\n        cnt = 0\n        for j in range(len(T)):\n            if S[i][j] != T[j]:\n                cnt += 1\n                if cnt > 1:\n                    break\n        else:\n            ans.append(i + 1)\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = input().split()\nN = int(N)\nT = T.strip()\nT_len = len(T)\nT_set = set(T)\nT_count = [0] * 26\nfor i in T:\n    T_count[ord(i) - ord(\"a\")] += 1\nS = []\nfor i in range(N):\n    S.append(input().strip())\nS_len = [len(s) for s in S]\nans = []\nfor i in range(N):\n    s = S[i]\n    s_len = S_len[i]\n    if s_len == T_len:\n        if s == T:\n            ans.append(i + 1)\n        else:\n            s_count = [0] * 26\n            for j in s:\n                s_count[ord(j) - ord(\"a\")] += 1\n            if s_count == T_count:\n                ans.append(i + 1)\n    elif s_len == T_len + 1:\n        for j in range(s_len):\n            if s[:j] + s[j + 1 :] == T:\n                s_count = [0] * 26\n                for k in s:\n                    s_count[ord(k) - ord(\"a\")] += 1\n                if s_count == T_count:\n                    ans.append(i + 1)\n                break\n    elif s_len == T_len - 1:\n        for j in range(s_len):\n            if s[:j] + s[j + 1 :] == T:\n                s_count = [0] * 26\n                for k in s:\n                    s_count[ord(k) - ord(\"a\")] += 1\n                if s_count == T_count:\n                    ans.append(i + 1)\n                break\n    elif s_len == T_len - 2:\n        for j in range(s_len):\n            for k in range(j + 1, s_len):\n                if s[:j] + s[j + 1 : k] + s[k + 1 :] == T:\n                    s_count = [0] * 26\n                    for l in s:\n                        s_count[ord(l) - ord(\"a\")] += 1\n                    if s_count == T_count:\n                        ans.append(i + 1)\n                    break\nprint(len(ans))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(str, input().split())\nS = [input().strip() for i in range(int(N))]\nans = []\nfor i in range(N):\n    if len(S[i]) == len(T) - 1 and S[i] in T:\n        ans.append(i + 1)\n    if len(S[i]) == len(T) and S[i] == T:\n        ans.append(i + 1)\n    if len(S[i]) == len(T) + 1 and T in S[i]:\n        ans.append(i + 1)\n    if len(S[i]) == len(T) and sum([1 for j in range(len(T)) if T[j] != S[i][j]]) == 1:\n        ans.append(i + 1)\nprint(len(ans))\nprint(*ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    n = int(input())\n    s = input()\n    count = 0\n    for i in range(1, 10000):\n        if i**0.5 % 1 == 0:\n            t = str(i**0.5)\n            if len(t) <= n:\n                if len(t) < n:\n                    t = \"0\" * (n - len(t)) + t\n                if n == 1:\n                    if s == t:\n                        count += 1\n                else:\n                    for j in range(n):\n                        for k in range(n):\n                            if j != k:\n                                if s[j] in t and s[k] in t:\n                                    t = list(t)\n                                    t[j] = s[k]\n                                    t[k] = s[j]\n                                    t = \"\".join(t)\n                                    if t == s:\n                                        count += 1\n                                    break\n                    else:\n                        continue\n    print(count)\n\n\nmain()",
                "def is_square(n):\r\n    root = int(n**0.5)\r\n    return root * root == n\r\n\r\n\r\ndef solve(s):\r\n    n = len(s)\r\n    if n == 1:\r\n        return 1 if is_square(int(s)) else 0\r\n    if n == 2:\r\n        return 2 if s[0] == s[1] and is_square(int(s[0]) * 10 + int(s[1])) else 1\r\n    ans = 0\r\n    for i in range(n):\r\n        if i > 0 and s[i - 1] == s[i]:\r\n            continue\r\n        for j in range(i + 1, n):\r\n            if j > i + 1 and s[j - 1] == s[j]:\r\n                continue\r\n            t = s[:i] + s[i + 1 : j] + s[i] + s[j + 1 :]\r\n            ans += solve(t)\r\n    return ans\r\n\r\n\r\nn = int(input())\r\ns = input()\r\nprint(solve(s))\r",
                "from itertools import permutations\n\nn = int(input())\ns = input()\n\ncount = 0\nfor p in permutations(s):\n    num = int(\"\".join(p))\n    if num**0.5 % 1 == 0:\n        count += 1\nprint(count)",
                "from collections import Counter\n\nn = int(input())\ns = input()\nc = Counter(s)\n\nans = 0\nfor i in range(1, int(10 ** (n - 1) ** 0.5) + 1):\n    if i ** 2 > 10 ** (n - 1):\n        break\n    if c[str(i)] > 0:\n        for j in range(1, 10):\n            if c[str(j)] > 0:\n                if j ** 2 > 10 ** (n - 1):\n                    break\n                if c[str(i)] + c[str(j)] > n:\n                    continue\n                ans += c[str(i)] * c[str(j)] // (c[str(i)] + c[str(j)]) * (\n                    c[str(i)] + c[str(j)] - 1\n                )\n                for k in range(3, 10):\n                    if c[str(k)] > 0:\n                        if k**2 > 10 ** (n - 2):\n                            break\n                        if c[str(i)] + c[str(j)] + c[str(k)] > n:\n                            continue\n                        ans -= (\n                            c[str(i)]\n                            * c[str(j)]\n                            * c[str(k)]\n                            * (c[str(i)] + c[str(j)] + c[str(k)] - 1)\n                            * (c[str(i)] + c[str(j)] + c[str(k)] - 2)\n                            // (c[str(i)] + c[str(j)])\n                            // (c[str(i)] + c[str(j)] + 1)\n                        )\n                        for l in range(4, 10):\n                            if c[str(l)] > 0:\n                                if l**2 > 10 ** (n - 3):\n                                    break\n                                if (\n                                    c[str(i)]\n                                    + c[str(j)]\n                                    + c[str(k)]\n                                    + c[str(l)]\n                                    > n\n                                ):\n                                    continue\n                                ans += (\n                                    c[str(i)]\n                                    * c[str(j)]\n                                    * c[str(k)]\n                                    * c[str(l)]\n                                    * (c[str(i)] + c[str(j)] + c[str(k)] + c[str(l)] - 1)\n                                    * (\n                                        c[str(i)]\n                                        + c[str(j)]\n                                        + c[str(k)]\n                                        + c[str(l)]\n                                        - 2\n                                    )\n                                    * (\n                                        c[str(i)]\n                                        + c[str(j)]\n                                        + c[str(k)]\n                                        + c[str(l)]\n                                        - 3\n                                    )\n                                    // (c[str(i)] + c[str(j)])\n                                    // (c[str(i)] + c[str(j)] + 1)\n                                    // (c[str(i)] + c[str(j)] + c[str(k)] + 1)\n                                )\n                        ans //= 2\nprint(ans)",
                "def is_square(n):\r\n    root = int(n**0.5)\r\n    return root * root == n\r\n\r\n\r\ndef solve(n, s):\r\n    count = 0\r\n    for p in range(factorial(n)):\r\n        perm = [0] * n\r\n        for i in range(n):\r\n            perm[i] = s[i ^ p]\r\n        num = 0\r\n        for i in range(n):\r\n            num = num * 10 + perm[i]\r\n        if is_square(num):\r\n            count += 1\r\n    return count\r\n\r\n\r\ndef factorial(n):\r\n    if n == 0:\r\n        return 1\r\n    return n * factorial(n - 1)\r\n\r\n\r\nn = int(input())\r\ns = input()\r\nprint(solve(n, s))\r",
                "from math import sqrt\n\nn = int(input())\ns = input()\n\ncount = 0\n\nfor i in range(1, 10 ** (n // 2 + 1)):\n    if i**2 > 10**n:\n        break\n    if i**0.5 % 1 == 0:\n        for j in range(n):\n            if str(i % 10) in s:\n                i = i // 10\n                s = s.replace(str(i % 10), \"\", 1)\n            else:\n                break\n        else:\n            count += 1\nprint(count)",
                "from collections import Counter\nfrom math import sqrt\n\nn = int(input())\ns = input()\n\ncount = Counter(s)\n\nans = 0\nfor i in range(1, int(sqrt(int(s) + 1e-9)) + 1):\n    if i**2 > 10**n:\n        break\n    if i**2 % 11 == 0 and count[0] > 1:\n        ans += 1\n    elif i**2 % 11 != 0 and count[0] > 0:\n        ans += 1\n    if count[str(i)] > 0:\n        ans += count[str(i)] * (count[str(i)] - 1) // 2\n\nprint(ans)",
                "def is_square(n):\r\n    return n**0.5 % 1 == 0\r\n\r\n\r\ndef get_perm(s, n):\r\n    if n == 1:\r\n        yield s\r\n    else:\r\n        for i in range(n):\r\n            for p in get_perm(s[:i] + s[n - 1 : i] + s[i + 1 : n - 1] + s[i : n], n - 1):\r\n                yield s[n - 1] + p\r\n\r\n\r\ndef solve(n, s):\r\n    cnt = 0\r\n    for p in get_perm(s, n):\r\n        num = int(p)\r\n        if is_square(num):\r\n            cnt += 1\r\n    return cnt\r\n\r\n\r\nn = int(input())\r\ns = input()\r\nprint(solve(n, s))\r",
                "from collections import Counter\n\nn = int(input())\ns = input()\nc = Counter(s)\nans = 0\nfor i in range(1, int(10 ** (0.5) + 1)):\n    if i**2 > int(s) and c[str(i)]:\n        continue\n    if i**2 == int(s):\n        ans += 1\n        continue\n    if c[\"0\"] > 1:\n        continue\n    if i**2 % 10 == 0 and c[\"0\"] == 0:\n        continue\n    if i**2 % 10 != 0 and c[\"0\"] == 1:\n        c[\"0\"] -= 1\n    if i**2 % 11 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 11 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 100 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 100 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 101 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 101 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 1000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 1000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 1001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 1001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 10000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 10000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 10001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 10001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 100000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 100000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 100001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 100001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 1000000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 1000000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 1000001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 1000001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 10000000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 10000000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 10000001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 10000001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 100000000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 100000000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 100000001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 100000001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 1000000000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 1000000000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 1000000001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 1000000001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if i**2 % 10000000000 == 0 and c[\"0\"] > 1:\n        c[\"0\"] -= 1\n    if i**2 % 10000000000 != 0 and c[\"0\"] > 0:\n        c[\"0\"] -= 1\n    if i**2 % 10000000001 == 0 and c[\"1\"] > 1:\n        c[\"1\"] -= 1\n    if i**2 % 10000000001 != 0 and c[\"1\"] > 0:\n        c[\"1\"] -= 1\n    if all(v == 0 for v in c.values()):\n        ans += 1\nprint(ans)",
                "from collections import Counter\nfrom math import sqrt\n\nn = int(input())\ns = input()\n\ncount = Counter(s)\n\nans = 0\nfor i in range(1, int(sqrt(int(s) + 1))):\n    if i * i > int(s):\n        break\n    if i * i == int(s) and count[0] == n:\n        ans += 1\n        continue\n    if count[str(i * i)] < count[str(i)]:\n        continue\n    if count[str(i * i)] > 0 and count[str(i * i)] > count[str(i)]:\n        continue\n    if count[str(i * i)] == 0 and count[str(i)] % 2 == 1:\n        continue\n    ans += 1\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = map(str, input().split())\nS = [input().rstrip() for i in range(int(N))]\n\nfrom collections import Counter\n\ncounter = Counter(T)\n\nans = 0\n\nfor i in range(len(S)):\n    for j in range(i + 1, len(S)):\n        if all(S[i].count(k) + S[j].count(k) >= counter[k] for k in counter):\n            ans += 1\n\nfor i in range(len(S)):\n    if all(S[i].count(k) >= counter[k] for k in counter):\n        ans += i\n\nprint(ans)",
                "from collections import defaultdict\n\nN, T = map(str, input().split())\nS = [input() for _ in range(int(N))]\n\nT_set = set(T)\n\ncnt = defaultdict(int)\nfor s in S:\n    for c in s:\n        cnt[c] += 1\n\nans = 0\nfor c in T_set:\n    ans += cnt[c] * (cnt[c] - 1)\n\nfor s in S:\n    t_set = set(T)\n    for c in s:\n        if c in t_set:\n            t_set.remove(c)\n    if not t_set:\n        ans += N - 1\n\nprint(ans)",
                "from collections import Counter\n\n(n, t) = map(str, input().split())\ns = [input() for _ in range(int(n))]\n\nt_count = Counter(t)\ns_count = [Counter(x) for x in s]\n\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if i != j:\n            for k, v in t_count.items():\n                if s_count[i][k] + s_count[j][k] >= v:\n                    ans += 1\n                else:\n                    break\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = map(str, input().split())\nS = [input().rstrip() for _ in range(int(N))]\n\nfrom collections import Counter\n\nT = Counter(T)\n\nans = 0\nfor i in range(len(S)):\n    for j in range(i + 1, len(S)):\n        if all(S[i].count(k) + S[j].count(k) >= v for k, v in T.items()):\n            ans += 1\n\nfor i in range(len(S)):\n    if all(S[i].count(k) >= v for k, v in T.items()):\n        ans += i\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = map(str, input().split())\nS = [input().rstrip() for i in range(int(N))]\n\nfrom collections import Counter\n\ncounter = Counter(T)\n\nans = 0\nfor i in range(len(S)):\n    for j in range(i + 1, len(S)):\n        if all(S[i].count(c) + S[j].count(c) >= counter[c] for c in counter):\n            ans += 1\n\nfor i in range(len(S)):\n    if all(S[i].count(c) >= counter[c] for c in counter):\n        ans += i\n\nprint(ans)",
                "from collections import Counter\n\nN, T = map(str, input().split())\nS = [input() for _ in range(int(N))]\n\nT_count = Counter(T)\nS_count = [Counter(s) for s in S]\n\nans = 0\nfor i in range(int(N)):\n    for j in range(int(N)):\n        if i != j:\n            for c in T:\n                if S_count[i][c] + S_count[j][c] > T_count[c]:\n                    break\n            else:\n                ans += 1\n\nprint(ans)",
                "from collections import Counter\r\n\r\nn, t = map(str, input().split())\r\ns = [input() for _ in range(int(n))]\r\n\r\nt_counter = Counter(t)\r\ns_counter = [Counter(si) for si in s]\r\n\r\nans = 0\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if i != j:\r\n            ans += sum(\r\n                min(s_counter[i][ch], s_counter[j][ch]) for ch in t_counter\r\n            ) >= t_counter[ch]\r\n\r\nprint(ans)\r",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = map(str, input().split())\nS = [input().rstrip() for i in range(int(N))]\n\nfrom collections import Counter\n\ncounter = Counter(T)\n\nans = 0\n\nfor i in range(len(S)):\n    for j in range(i + 1, len(S)):\n        if all(counter[c] <= S[i].count(c) + S[j].count(c) for c in counter):\n            ans += 1\n\nfor i in range(len(S)):\n    if all(counter[c] <= S[i].count(c) for c in counter):\n        ans += i\n\nprint(ans)",
                "from collections import defaultdict\n\nN, T = map(str, input().split())\nS = [input() for _ in range(int(N))]\n\nT_set = set(T)\n\ncount = 0\nfor s in S:\n    s_set = set(s)\n    if T_set.issubset(s_set):\n        count += N - 1\n    for t in T:\n        if t in s_set:\n            count += 1\n\nprint(count)",
                "from collections import defaultdict\n\nN, T = map(str, input().split())\nS = [input() for _ in range(int(N))]\n\nT_index = defaultdict(list)\nfor i, c in enumerate(T):\n    T_index[c].append(i)\n\nans = 0\nfor s in S:\n    s_index = defaultdict(list)\n    for i, c in enumerate(s):\n        s_index[c].append(i)\n\n    for c in set(T) & set(s):\n        for i in s_index[c]:\n            for j in T_index[c]:\n                if j >= i:\n                    j += 1\n            else:\n                ans += 1\n\nfor i in range(len(S)):\n    for j in range(i + 1, len(S)):\n        if all(\n            any(x[0] <= y[0] < x[1] for y in T_index[c])\n            for c, x in zip(T, (S[i], S[j]))\n        ):\n            ans += 1\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from heapq import heappop, heappush\n\nN, M = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [0] * N\npq = [(float(\"inf\"), 0, 0)]\n\nwhile pq:\n    c, b, v = heappop(pq)\n    if v == N - 1:\n        print(b / c)\n        break\n    for nv, nb, nc in graph[v]:\n        if dp[nv] < b + nb:\n            dp[nv] = b + nb\n            heappush(pq, (c + nc, b + nb, nv))",
                "from heapq import heappush, heappop\nfrom sys import stdin\n\ninput = stdin.readline\n\nINF = 10**18\n\nN, M = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append((v, b, c))\n\ndp = [0] * N\ndp[0] = INF\n\nhq = [(INF, 0)]\n\nwhile hq:\n    cv, cu = heappop(hq)\n    if cv < dp[cu]:\n        continue\n    for nv, nb, nc in graph[cu]:\n        if dp[nv] < cv * nc - nb:\n            dp[nv] = cv * nc - nb\n            heappush(hq, (dp[nv], nv))\n\nprint(dp[-1])",
                "from heapq import heappush, heappop\n\nn, m = map(int, input().split())\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [float(\"-inf\")] * n\ndp[0] = 0\nhq = [(0, 0)]\nwhile hq:\n    r = heappop(hq)\n    if r[1] > dp[r[0]]:\n        dp[r[0]] = r[1]\n        for v, b, c in graph[r[0]]:\n            heappush(hq, (v, max(dp[r[0]] * c / b, r[1] * c / b + b)))\n\nprint(dp[-1])",
                "from heapq import heappop, heappush\n\nn, m = map(int, input().split())\n\ngraph = [[] for _ in range(n)]\n\nfor _ in range(m):\n    u, v, b, c = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append((v, b, c))\n\ndp = [0] * n\ndp[0] = float(\"-inf\")\nhq = [(float(\"inf\"), 0, 0, 0)]\n\nwhile hq:\n    g, i, b, c = heappop(hq)\n    if i == n - 1:\n        print(b / c)\n        break\n    for j, b2, c2 in graph[i]:\n        if dp[j] < b + g / c:\n            dp[j] = b + g / c\n            heappush(hq, (g / c, j, b + b2, c + c2))",
                "from heapq import heappop, heappush\n\nN, M = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [0] * N\nhq = [(0, 0)]\nvisited = [False] * N\n\nwhile hq:\n    b, c = heappop(hq)\n    u = c\n\n    if visited[u]:\n        continue\n\n    visited[u] = True\n\n    for v, b_new, c_new in graph[u]:\n        if not visited[v]:\n            heappush(hq, (b + b_new, v))\n            dp[v] = max(dp[v], (b + b_new) / (c + c_new))\n\nprint(dp[-1])",
                "from heapq import heappush, heappop\nfrom sys import stdin\n\ninput = stdin.readline\nN, M = map(int, input().split())\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [0] * N\npq = [(0, 0, 0)]\nwhile pq:\n    ratio, cost, node = heappop(pq)\n    if cost > dp[node]:\n        continue\n    if node == N - 1:\n        print(ratio)\n        exit()\n    for n, b, c in graph[node]:\n        heappush(pq, (ratio + b / c, cost + c, n))\n        dp[n] = max(dp[n], cost + c)",
                "from heapq import heappop, heappush\nfrom sys import stdin\n\ninput = stdin.readline\n\nINF = float(\"inf\")\n\nN, M = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [0] * N\ndp[0] = 1\n\nhq = [(0, 0)]\n\nwhile hq:\n    ratio, node = heappop(hq)\n\n    if node == N - 1:\n        print(ratio)\n        break\n\n    for next_node, beauty, cost in graph[node]:\n        if dp[next_node] == 0:\n            dp[next_node] = 1\n            heappush(hq, (ratio + beauty / cost, next_node))",
                "from heapq import heappop, heappush\n\nn, m = map(int, input().split())\n\ngraph = [[] for _ in range(n)]\n\nfor _ in range(m):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [0] * n\ndp[0] = float(\"-inf\")\nhq = [(float(\"inf\"), 0, 0, 0)]\n\nwhile hq:\n    c, b, v, p = heappop(hq)\n    dp[v] = max(dp[v], b / c)\n    for nv, nb, nc in graph[v]:\n        if dp[nv] < b / c + nb / nc:\n            dp[nv] = b / c + nb / nc\n            heappush(hq, (c + nc, b + nb, nv, v))\n\nprint(dp[-1])",
                "from heapq import heappush, heappop\nfrom collections import defaultdict\n\nN, M = map(int, input().split())\n\ngraph = defaultdict(list)\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    graph[u].append((v, b, c))\n\ndp = [0] * (N + 1)\npq = [(0, 1)]\nwhile pq:\n    val, node = heappop(pq)\n    if dp[node] > val:\n        continue\n    for n, b, c in graph[node]:\n        new_val = val + b / c\n        if new_val > dp[n]:\n            dp[n] = new_val\n            heappush(pq, (new_val, n))\n\nprint(dp[N])",
                "from heapq import heappop, heappush\n\nN, M = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, b, c = map(int, input().split())\n    u, v = u - 1, v - 1\n    graph[u].append((v, b, c))\n\ndp = [0] * N\ndp[0] = float(\"inf\")\n\nq = [(float(\"inf\"), 0, 0)]\nwhile q:\n    c, i, b = heappop(q)\n    if dp[i] < c:\n        continue\n    for j, b2, c2 in graph[i]:\n        if c + c2 < dp[j]:\n            dp[j] = c + c2\n            heappush(q, (c + c2, j, b + b2))\n\nprint(dp[-1])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = input().split()\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")",
                "s, t = map(str, input().split())\nprint(s + \" san\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\n\nN = int(input())\nW = defaultdict(int)\nfor _ in range(N):\n    w, x = map(int, input().split())\n    W[x % 24] += w\n\nans = 0\nfor i in range(9, 18):\n    ans += W[i]\nfor i in range(0, 9):\n    ans = max(ans, W[i] + W[i + 16])\nfor i in range(18, 24):\n    ans = max(ans, W[i] + W[i - 16])\nprint(ans)",
                "def main():\n    n = int(input())\n    w = []\n    x = []\n    for i in range(n):\n        w_x = input().split()\n        w.append(int(w_x[0]))\n        x.append(int(w_x[1]))\n    w_9 = []\n    w_18 = []\n    for i in range(n):\n        if 9 <= x[i] <= 17:\n            w_9.append(w[i])\n            w_18.append(w[i])\n        elif x[i] < 9:\n            w_9.append(w[i])\n            w_18.append(0)\n        else:\n            w_9.append(0)\n            w_18.append(w[i])\n    print((sum(w_9) + sum(w_18) - max(w_9 + w_18)))\n\n\nmain()",
                "n = int(input())\n\nbases = []\nfor i in range(n):\n    w, x = map(int, input().split())\n    bases.append((x + 9) % 24, w)\n\nbases.sort()\n\ndp = [0] * 24\nfor i in range(24):\n    for j in range(i, -1, -1):\n        if j - 9 >= 0 and j - 18 < 0:\n            dp[i] += bases[j - 9][1]\n        else:\n            dp[i] += dp[j - 9]\n\nprint(max(dp))",
                "n = int(input())\nw = []\nx = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    w.append(a)\n    x.append(b)\n\ndp = [[0] * 24 for i in range(n)]\nfor i in range(n):\n    for j in range(9, 18):\n        if x[i] + j <= 23:\n            dp[i][j] = w[i]\n        elif x[i] <= 18:\n            dp[i][j] = w[i]\n        else:\n            dp[i][j] = 0\n\nfor i in range(n):\n    for j in range(9, 18):\n        if x[i] - j >= 0:\n            dp[i][j] += dp[i][j - 1]\n\nans = 0\nfor i in range(24):\n    for j in range(24):\n        if i == j:\n            continue\n        cnt = 0\n        for k in range(n):\n            cnt += dp[k][i]\n            cnt += dp[k][j]\n        ans = max(ans, cnt)\n\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\ndp = [[0] * 24 for i in range(n)]\nfor i in range(n):\n    for j in range(9, 18):\n        dp[i][j] = a[i][0]\n\nfor i in range(n):\n    for j in range(9, 24):\n        for k in range(j + 1, 18):\n            dp[i][k] = max(dp[i][k], dp[i][j])\n\nans = 0\nfor i in range(n):\n    for j in range(9, 18):\n        ans = max(ans, dp[i][j] + a[i][1] - j)\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nW = defaultdict(int)\nfor _ in range(N):\n    w, x = map(int, input().split())\n    W[x % 24] += w\n\nans = 0\nfor i in range(9, 18):\n    ans = max(ans, W[i] + W[i - 1] + W[i + 1])\nprint(ans)",
                "N = int(input())\r\n\r\nbases = []\r\nfor _ in range(N):\r\n    W, X = map(int, input().split())\r\n    bases.append((W, X))\r\n\r\nmax_workers = 0\r\nfor i in range(24):\r\n    workers = 0\r\n    for W, X in bases:\r\n        if 9 <= X + i < 17:\r\n            workers += W\r\n        if 0 <= X + i - 9 < 17:\r\n            workers += W\r\n    max_workers = max(max_workers, workers)\r\n\r\nprint(max_workers)\r",
                "n = int(input())\nw = []\nx = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    w.append(a)\n    x.append(b)\n\ndp = [[0] * 24 for i in range(n)]\nfor i in range(n):\n    for j in range(9, 18):\n        if x[i] < j:\n            dp[i][j] = w[i]\n        elif x[i] > j:\n            dp[i][j] = 0\n        else:\n            dp[i][j] = w[i] // 2\n\nfor i in range(n):\n    for j in range(9, 17):\n        dp[i][j] += dp[i][j + 1]\n\nans = 0\nfor i in range(24):\n    for j in range(24):\n        if i > j:\n            break\n        tmp = 0\n        for k in range(n):\n            tmp += dp[k][i] - dp[k][j]\n        ans = max(ans, tmp)\nprint(ans)",
                "n = int(input())\n\nbases = []\nfor i in range(n):\n    w, x = map(int, input().split())\n    bases.append((x + 9) % 24, w)\n\nbases.sort()\n\ndp = [0] * 24\nfor i in range(24):\n    for j in range(i, -1, -1):\n        if j - 9 >= 0 and j - 18 < 0:\n            dp[i] += bases[j - 9][1]\n        else:\n            dp[i] += dp[j - 9]\n\nprint(max(dp))",
                "n = int(input())\n\nbases = []\nfor i in range(n):\n    w, x = map(int, input().split())\n    bases.append((x + 9) % 24, w)\n\nbases.sort()\n\ndp = [0] * 24\nfor i in range(24):\n    for j in range(i, -1, -1):\n        if j - 9 >= 0 and j - 18 < 0:\n            dp[i] += bases[j - 9][1]\n        else:\n            dp[i] += dp[j - 9]\n\nprint(max(dp))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nvisited = [[False] * w for _ in range(h)]\ncount = 0\n\nfor i in range(h):\n    for j in range(w):\n        if not visited[i][j] and grid[i][j] == \"#\":\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, -1), (1, 1)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                        q.append((nx, ny))\n                        visited[nx][ny] = True\n            count += 1\n\nprint(count)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nvisited = [[False] * w for _ in range(h)]\ncount = 0\n\nfor i in range(h):\n    for j in range(w):\n        if not visited[i][j] and grid[i][j] == \"#\":\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, -1), (1, 1)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            count += 1\n\nprint(count)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ns = [input() for _ in range(h)]\ng = [[0] * w for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"#\":\n            g[i][j] = 1\n\ndx = [0, 0, 1, -1, 1, 1, -1, -1]\ndy = [1, -1, 0, 0, 1, -1, 1, -1]\n\ncnt = 0\nfor i in range(h):\n    for j in range(w):\n        if g[i][j]:\n            q = deque([(i, j)])\n            g[i][j] = 2\n            while q:\n                (x, y) = q.popleft()\n                for k in range(8):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and g[nx][ny] == 1:\n                        g[nx][ny] = 2\n                        q.append((nx, ny))\n            cnt += 1\nprint(cnt)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nvisited = [[False] * w for _ in range(h)]\ncount = 0\nfor i in range(h):\n    for j in range(w):\n        if not visited[i][j] and grid[i][j] == \"#\":\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, -1), (1, 1)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            count += 1\nprint(count)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ns = [input() for _ in range(h)]\ndx = [-1, 0, 1, -1, 1, -1, 0, 1]\ndy = [-1, -1, -1, 0, 0, 1, 1, 1]\nvisited = [[False] * w for _ in range(h)]\ncnt = 0\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"#\" and not visited[i][j]:\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for k in range(8):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and s[nx][ny] == \"#\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            cnt += 1\nprint(cnt)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ns = [input() for _ in range(h)]\nd = [(0, 1), (1, 0), (0, -1), (-1, 0), (1, 1), (-1, -1), (1, -1), (-1, 1)]\nvisited = [[False] * w for _ in range(h)]\ncnt = 0\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"#\" and not visited[i][j]:\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                x, y = q.popleft()\n                for dx, dy in d:\n                    nx = dx + x\n                    ny = dy + y\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and s[nx][ny] == \"#\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            cnt += 1\nprint(cnt)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ns = [input() for _ in range(h)]\ndx = [0, 0, 1, -1, 1, 1, -1, -1]\ndy = [1, -1, 0, 0, 1, -1, 1, -1]\nvisited = [[False] * w for _ in range(h)]\ncnt = 0\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"#\" and not visited[i][j]:\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for k in range(8):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and (not visited[nx][ny]) and (s[nx][ny] == \"#\"):\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            cnt += 1\nprint(cnt)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nvisited = [[False] * w for _ in range(h)]\ncount = 0\nfor i in range(h):\n    for j in range(w):\n        if not visited[i][j] and grid[i][j] == \"#\":\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, -1), (1, 1)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            count += 1\nprint(count)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nvisited = [[False] * w for _ in range(h)]\ncount = 0\nfor i in range(h):\n    for j in range(w):\n        if not visited[i][j] and grid[i][j] == \"#\":\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, -1), (1, 1)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                        q.append((nx, ny))\n                        visited[nx][ny] = True\n            count += 1\nprint(count)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nvisited = [[False] * w for _ in range(h)]\ncount = 0\nfor i in range(h):\n    for j in range(w):\n        if not visited[i][j] and grid[i][j] == \"#\":\n            q = deque([(i, j)])\n            visited[i][j] = True\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, -1), (1, 1)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                        q.append((nx, ny))\n                        visited[nx][ny] = True\n            count += 1\nprint(count)"
            ],
            "pass1_list": [
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort(key=lambda x: -x)\n\nans = 0\ncnt = 0\nfor i in range(N):\n    idx = bisect_right(D, T[i] + 1)\n    if idx == N:\n        break\n    if idx - 1 - cnt >= 0:\n        ans += 1\n        cnt += 1\n    else:\n        ans += 1\n        cnt = 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort(reverse=True)\nans = 0\nfor i in range(N):\n    if i == 0:\n        ans += 1\n    elif T[i] - T[i - 1] > D[i - 1]:\n        ans += 1\n    elif T[i] - T[i - 1] == D[i - 1]:\n        ans += 1\n        i += 1\n    else:\n        ans += 1\n        i -= 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort(reverse=True)\n\nans = 0\ncnt = 0\nfor i in range(N):\n    if cnt == 0:\n        cnt = 1\n        ans += 1\n    else:\n        if T[i] - D[i - 1] > 1:\n            cnt = 1\n            ans += 1\n        else:\n            cnt += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort(reverse=True)\n\nans = 0\ncnt = 0\nfor i in range(N):\n    if cnt == 0:\n        cnt = 1\n        ans += 1\n    elif T[i] - D[i] >= 1:\n        cnt = 1\n        ans += 1\n    else:\n        cnt += 1\nprint(ans)",
                "from heapq import heappush, heappop\n\nN = int(input())\nevents = []\nfor _ in range(N):\n    T, D = map(int, input().split())\n    events.append((T, 1))\n    events.append((T + D, -1))\nevents.sort()\n\nactive = 0\nprinted = 0\nheap = []\nfor t, a in events:\n    active += a\n    if active == 1:\n        heappush(heap, t + 1)\n    elif active > 1:\n        t_next = heappop(heap)\n        if t_next < t + 1:\n            printed += 1\n            heappush(heap, t_next)\n\nprint(printed)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort(key=lambda x: -x)\n\nans = 0\n\nfor i in range(N):\n    idx = bisect_right(T, T[i] + D[i] + 1)\n    if idx - i > 1:\n        ans += 1\n        i = idx - 2\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort(key=lambda x: -x)\n\nans = 0\ncnt = 0\nfor i in range(N):\n    idx = bisect_right(T, T[i] + D[i] + 1)\n    if idx - cnt >= 2:\n        ans += 1\n        cnt = idx\n    elif idx - cnt == 1:\n        ans += 1\n        cnt = idx + 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\nN = int(input())\nT = []\nD = []\nfor i in range(N):\n    t, d = map(int, input().split())\n    T.append(t)\n    D.append(d)\nT.sort()\nD.sort()\n\nans = 0\ncnt = 0\nfor i in range(N):\n    if T[i] > D[i - cnt]:\n        ans += 1\n        cnt += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nTD = [list(map(int, input().split())) for i in range(N)]\nTD.sort(key=lambda x: x[0])\n\nans = 0\nnow = 0\nfor i in range(N):\n    if now < TD[i][0]:\n        now = TD[i][0]\n    if now + 1 < TD[i][0] + TD[i][1]:\n        now = TD[i][0] + TD[i][1]\n        ans += 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\nN = int(input())\nTD = [list(map(int, input().split())) for _ in range(N)]\nTD.sort()\n\nevents = []\nfor i in range(N):\n    events.append((TD[i][0], i, 1))\n    events.append((TD[i][1], i, 0))\nevents.sort()\n\nans = 0\ncnt = 0\nprev = -1\nfor t, i, enter in events:\n    if enter:\n        if cnt == 0:\n            ans += 1\n        cnt += 1\n        if cnt == 2:\n            ans += 1\n    else:\n        cnt -= 1\n        if prev != -1:\n            idx = bisect_left(TD, (prev, TD[-1][1]))\n            if idx != N:\n                if TD[idx][0] > t + 1:\n                    ans += 1\n                    cnt = 1\n                else:\n                    cnt = 0\n    prev = t\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    d[i][0] = 1e18\nd[0][0] = 0\n\nfor i in range(n):\n    for j in range(n):\n        for k in range(n):\n            d[j][k] = min(d[j][k], d[j][i] + d[i][k] * a)\n\nprint(min(d[i][-1] * b + c for i in range(n)))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, A, B, C = map(int, input().split())\n\nD = [list(map(int, input().split())) for _ in range(N)]\n\nINF = 10**18\n\ndp = [[INF] * N for _ in range(N)]\n\nfor i in range(N):\n    dp[i][i] = 0\n\nfor i in range(N):\n    for j in range(N):\n        dp[i][j] = min(dp[i][j], D[i][j] * A)\n        for k in range(N):\n            dp[j][k] = min(dp[j][k], dp[i][j] + D[j][k] * B + C)\n\nprint(dp[0][N - 1])",
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    d[i][0] = 10**10\nd[0][0] = 0\n\nfor i in range(n):\n    for j in range(n):\n        for k in range(n):\n            d[j][k] = min(d[j][k], d[j][i] * a + d[i][k] * a)\n\nprint(min(d[i][n - 1] * a + c + b * d[i][n - 1] for i in range(n)))",
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    d[i][0] = 1e18\nd[0][0] = 0\n\nfor i in range(n):\n    for j in range(n):\n        for k in range(n):\n            d[j][k] = min(d[j][k], d[j][i] + d[i][k] * a)\n\nprint(min(d[i][-1] * b + c for i in range(n)))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, A, B, C = map(int, input().split())\n\nD = [list(map(int, input().split())) for _ in range(N)]\n\nINF = float(\"inf\")\ndp = [[INF] * 2 for _ in range(N)]\n\ndp[0][0] = 0\n\nfor i in range(N):\n    for j in range(N):\n        if D[i][j] == 0:\n            continue\n        if i == 0:\n            dp[j][0] = min(dp[j][0], D[i][j] * A)\n        else:\n            dp[j][0] = min(dp[j][0], dp[i][0] + D[i][j] * A)\n            dp[j][1] = min(dp[j][1], dp[i][0] + D[i][j] * B + C)\n\nprint(min(dp[N - 1]))",
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    d[i][0] = 1e18\nd[0][0] = 0\n\nfor i in range(n):\n    for j in range(n):\n        for k in range(n):\n            d[j][k] = min(d[j][k], d[j][i] + d[i][k] * a)\n\nans = 1e18\nfor i in range(n):\n    ans = min(ans, d[i][n - 1] * a + (b * d[i][n - 1] + c))\nprint(int(ans))",
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\ninf = 10**18\ndp = [[inf] * 2 for _ in range(n)]\ndp[0][0] = 0\n\nfor i in range(n):\n    for j in range(n):\n        if d[i][j] == 0:\n            continue\n        if a < b:\n            dp[j][0] = min(dp[j][0], dp[i][0] + d[i][j] * a)\n            dp[j][1] = min(dp[j][1], dp[i][0] + d[i][j] * a)\n        else:\n            dp[j][1] = min(dp[j][1], dp[i][0] + d[i][j] * a)\n            if i != 0:\n                dp[j][1] = min(dp[j][1], dp[i][1] + d[i][j] * a)\n        dp[j][1] = min(dp[j][1], dp[i][1] + d[i][j] * b + c)\n\nprint(min(dp[n - 1]))",
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    d[i][0] = 1e18\nd[0][0] = 0\nfor i in range(n):\n    for j in range(n):\n        for k in range(n):\n            d[j][k] = min(d[j][k], d[j][i] * a + d[i][k] * a)\n            if j != i:\n                d[j][k] = min(d[j][k], d[j][i] * a + d[i][k] * b + c)\n\nprint(int(d[n - 1][0]))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, A, B, C = map(int, input().split())\n\nD = [list(map(int, input().split())) for _ in range(N)]\n\nINF = 10**18\n\ndp = [[INF] * N for _ in range(N)]\n\nfor i in range(N):\n    dp[i][i] = 0\n\nfor i in range(N):\n    for j in range(N):\n        dp[i][j] = min(dp[i][j], dp[i][j] + D[i][k] * A + D[k][j] * A)\n        dp[i][j] = min(dp[i][j], dp[i][k] + D[k][j] * B + C)\n        dp[i][j] = min(dp[i][j], dp[i][k] + D[k][j] * A + D[j][k] * B + C)\n        for k in range(N):\n            dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j])\n\nprint(dp[0][N - 1])",
                "n, a, b, c = map(int, input().split())\nd = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    d[i][0] = 1e18\nd[0][0] = 0\nfor i in range(n):\n    for j in range(n):\n        for k in range(n):\n            d[j][k] = min(d[j][k], d[j][i] * a + d[i][k] * a, d[j][i] * a + d[i][k] * (b + c))\nprint(int(d[n - 1][-1]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = [int(i) for i in input().split()]\nL = [list(map(int, input().split())) for i in range(2)]\n\ndp = [[10**18] * (N + 1) for i in range(2)]\nfor i in range(2):\n    dp[i][0] = 0\n\nfor i in range(N):\n    for j in range(2):\n        if L[j][2] > 0:\n            if D[i] % L[j][0] == 0:\n                dp[j][i + 1] = min(dp[j][i + 1], dp[j][i] + L[j][1] * (D[i] // L[j][0]))\n                L[j][2] -= 1\n            for k in range(1, D[i] // L[j][0] + 1):\n                dp[j][i + 1] = min(dp[j][i + 1], dp[j][i - k] + L[j][1] * k)\n\nans = 10**18\nfor i in range(2):\n    for j in range(N + 1):\n        ans = min(ans, dp[i][j])\n\nif ans >= 10**18:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = list(map(int, input().split()))\nL = [0] * 2\nC = [0] * 2\nK = [0] * 2\nfor i in range(2):\n    L[i], C[i], K[i] = list(map(int, input().split()))\n\nINF = 10**18\ndp = [[INF] * (K[0] + 1) for i in range(K[1] + 1)]\ndp[0][0] = 0\nfor i in range(N):\n    ndp = [[INF] * (K[0] + 1) for j in range(K[1] + 1)]\n    for j in range(K[1] + 1):\n        for k in range(K[0] + 1):\n            if dp[j][k] == INF:\n                continue\n            if j < K[1]:\n                ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1])\n            if k < K[0]:\n                if D[i] <= L[0]:\n                    ndp[j][k + 1] = min(ndp[j][k + 1], dp[j][k] + C[0])\n                elif D[i] % L[0] == 0:\n                    ndp[j][k + 1] = min(ndp[j][k + 1], dp[j][k] + C[0] * (D[i] // L[0]))\n                else:\n                    ndp[j][k + 1] = min(ndp[j][k + 1], dp[j][k] + C[0] * (D[i] // L[0] + 1))\n                if D[i] <= L[1]:\n                    ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1] + C[0])\n                elif D[i] % L[0] == 0:\n                    ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1] + C[0] * (D[i] // L[0]))\n                else:\n                    ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1] + C[0] * (D[i] // L[0] + 1))\n            else:\n                if D[i] <= L[1]:\n                    ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1])\n                elif D[i] % L[1] == 0:\n                    ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1] * (D[i] // L[1]))\n                else:\n                    ndp[j + 1][k] = min(ndp[j + 1][k], dp[j][k] + C[1] * (D[i] // L[1] + 1))\n    dp = ndp\n\nans = INF\nfor i in range(K[1] + 1):\n    for j in range(K[0] + 1):\n        ans = min(ans, dp[i][j])\n\nif ans == INF:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = [int(a) for a in input().split()]\nL = [int(a) for a in input().split()]\nC = [int(a) for a in input().split()]\nK = [int(a) for a in input().split()]\n\ndp = [[10**18] * (sum(K) + 1) for i in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    for j in range(sum(K) + 1):\n        if j < K[0]:\n            dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + C[0])\n        if j - K[1] >= 0:\n            k = j - K[1]\n            if D[i] % L[0] == 0:\n                dp[i + 1][k] = min(dp[i + 1][k] + (D[i] // L[0]) * C[0], dp[i][j] + (D[i] // L[1]) * C[1])\n            else:\n                dp[i + 1][k] = min(\n                    dp[i + 1][k] + (D[i] // L[0] + 1) * C[0], dp[i][j] + (D[i] // L[1] + 1) * C[1]\n                )\n\nans = 10**18\nfor i in range(sum(K) + 1):\n    ans = min(ans, dp[N][i])\n\nif ans >= 10**18:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = list(map(int, input().split()))\nL = [0] * 2\nC = [0] * 2\nK = [0] * 2\nfor i in range(2):\n    L[i], C[i], K[i] = list(map(int, input().split()))\n\nINF = 10**18\ndp = [[INF] * (K[0] + 1) for i in range(K[1] + 1)]\ndp[0][0] = 0\nfor d in D:\n    ndp = [[INF] * (K[0] + 1) for i in range(K[1] + 1)]\n    for i in range(K[1] + 1):\n        for j in range(K[0] + 1):\n            if dp[i][j] == INF:\n                continue\n            if d <= L[0] * j:\n                ndp[i][j] = min(ndp[i][j], dp[i][j])\n            else:\n                for k in range(1, K[1] + 1):\n                    if d <= L[0] * j + L[1] * k:\n                        ndp[i][j] = min(ndp[i][j], dp[i][j] + C[1] * k)\n                        break\n                    else:\n                        ndp[i][j] = min(ndp[i][j], dp[i][j] + C[1] * k + C[0] * ((d - L[1] * k - 1) // L[0] + 1))\n    dp = ndp\n\nans = min(dp[K[1]][i] for i in range(K[0] + 1))\nif ans == INF:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = list(map(int, input().split()))\nL = [0] * 2\nC = [0] * 2\nK = [0] * 2\nfor i in range(2):\n    L[i], C[i], K[i] = list(map(int, input().split()))\n\nINF = 10**18\ndp = [[INF] * (K[0] + 1) for i in range(K[1] + 1)]\ndp[0][0] = 0\nfor d in D:\n    ndp = [[INF] * (K[0] + 1) for i in range(K[1] + 1)]\n    for i in range(K[1] + 1):\n        for j in range(K[0] + 1):\n            if dp[i][j] == INF:\n                continue\n            if d <= L[0] * j:\n                ndp[i][j] = min(ndp[i][j], dp[i][j])\n            else:\n                for k in range(1, K[1] + 1):\n                    if d <= L[0] * j + L[1] * k:\n                        ndp[i][j] = min(ndp[i][j], dp[i][j] + C[1] * k)\n                        break\n                    else:\n                        ndp[i][j] = min(ndp[i][j], dp[i][j] + C[1] * k + C[0] * (j + 1))\n                        break\n    dp = ndp\n\nans = min(dp[K[1]][i] + C[0] * (K[0] - i) for i in range(K[0] + 1) if dp[K[1]][i] != INF)\nif ans == INF:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = [int(a) for a in input().split()]\nL = [int(a) for a in input().split()]\nC = [int(a) for a in input().split()]\nK = [int(a) for a in input().split()]\n\ndp = [[10**18] * (sum(K) + 1) for _ in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    for j in range(sum(K) + 1):\n        if j < K[0]:\n            dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + C[0] * (D[i] + L[0] - 1) // L[0])\n        if j < K[1]:\n            dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + C[1] * (D[i] + L[1] - 1) // L[1])\n        dp[i + 1][j] = min(dp[i + 1][j], dp[i][j])\n\nans = min(dp[N])\nif ans == 10**18:\n    ans = -1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = [int(a) for a in input().split()]\nL = [int(a) for a in input().split()]\nC = [int(a) for a in input().split()]\nK = [int(a) for a in input().split()]\n\ndp = [[10**18] * (N + 1) for _ in range(K[0] + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    for j in range(K[0], 0, -1):\n        dp[j][i + 1] = min(dp[j][i + 1], dp[j][i] + C[0])\n        if D[i] <= L[0]:\n            dp[j - 1][i + 1] = min(dp[j - 1][i + 1], dp[j][i])\n\nans = min([dp[j][N] for j in range(K[0] + 1)])\nif ans == 10**18:\n    ans = -1\n\nfor i in range(K[1] + 1):\n    for j in range(N + 1):\n        dp[i][j] = 10**18\ndp[0][0] = 0\n\nfor i in range(N):\n    for j in range(K[1], 0, -1):\n        dp[j][i + 1] = min(dp[j][i + 1], dp[j][i] + C[1])\n        if D[i] <= L[1]:\n            dp[j - 1][i + 1] = min(dp[j - 1][i + 1], dp[j][i])\n\nans = min(ans, min([dp[j][N] for j in range(K[1] + 1)]))\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = [int(a) for a in input().split()]\nL = [list(map(int, input().split())) for i in range(2)]\n\nINF = 10**18\ndp = [[[INF] * (N + 1) for i in range(2)] for j in range(sum(L[0]))]\nfor i in range(2):\n    dp[i][0][0] = 0\nfor i in range(sum(L[0])):\n    for j in range(2):\n        for k in range(N):\n            if L[j][0] <= D[k]:\n                dp[j][i + 1][k + 1] = min(dp[j][i + 1][k + 1], dp[j][i][k] + L[j][1])\n            if L[j][0] <= D[k] - i:\n                dp[j][i + 1][k] = min(dp[j][i + 1][k], dp[j][i][k] + L[j][1])\n\nans = INF\nfor i in range(sum(L[0]) + 1):\n    for j in range(N + 1):\n        if dp[0][i][j] <= L[1][2] * L[1][1] and dp[1][i][j] <= L[0][2] * L[0][1]:\n            ans = min(ans, dp[0][i][j] + dp[1][i][j])\n\nif ans == INF:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = list(map(int, input().split()))\nL = []\nC = []\nK = []\nfor i in range(2):\n    L.append(int(input().split()[0]))\n    C.append(int(input().split()[1]))\n    K.append(int(input().split()[2]))\n\nINF = 10**15\ndp = [[INF] * (sum(K) + 1) for i in range(N + 1)]\ndp[0][0] = 0\nfor i in range(N):\n    for j in range(sum(K), -1, -1):\n        for k in range(2):\n            if K[k] == 0:\n                continue\n            if j - 1 < 0:\n                continue\n            if D[i] <= L[k]:\n                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j - 1] + C[k])\n            else:\n                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + C[k] * (D[i] // L[k] + 1))\n                if D[i] % L[k] != 0:\n                    dp[i + 1][j - 1] = min(dp[i + 1][j - 1], dp[i][j] + C[k] * (D[i] // L[k]))\n\nans = min(dp[N])\nif ans == INF:\n    ans = -1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nD = list(map(int, input().split()))\nL = [0] * 2\nC = [0] * 2\nK = [0] * 2\nfor i in range(2):\n    L[i], C[i], K[i] = list(map(int, input().split()))\n\nINF = 10**18\ndp = [[INF] * (K[0] + 1) for _ in range(K[1] + 1)]\ndp[0][0] = 0\nfor d in D:\n    ndp = [[INF] * (K[0] + 1) for _ in range(K[1] + 1)]\n    for i0 in range(K[0] + 1):\n        for i1 in range(K[1] + 1):\n            if dp[i0][i1] == INF:\n                continue\n            if d <= L[0] * i0:\n                ndp[i0][i1] = min(ndp[i0][i1], dp[i0][i1])\n            elif d <= L[0] * i0 + L[1] * i1:\n                ndp[i0][i1] = min(ndp[i0][i1], dp[i0][i1] + C[1] * (d - L[0] * i0) // L[1])\n            if i0 < K[0] and d <= L[0] * (i0 + 1):\n                ndp[i0 + 1][i1] = min(ndp[i0 + 1][i1], dp[i0][i1])\n            if i1 < K[1] and d <= L[0] * i0 + L[1] * (i1 + 1):\n                ndp[i0][i1 + 1] = min(ndp[i0][i1 + 1], dp[i0][i1])\n    dp = ndp\n\nans = min(dp[K[0]][i1] + C[0] * i1 for i1 in range(K[1] + 1))\nif ans == INF:\n    ans = -1\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "x, y = map(int, input().split())\nif abs(x - y) <= 2 or (x > y and x - y <= 3):\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        break\n    n += 1\nprint(n)",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        print(n)\n        break\n    n += 1",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        break\n    n += 1\nprint(n)",
                "n = int(input())\nfor i in range(n, 1000):\n    if i % 100 == i // 100 * i // 10 % 10:\n        print(i)\n        break",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        print(n)\n        break\n    n += 1",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        print(n)\n        break\n    n += 1",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        print(n)\n        break\n    n += 1",
                "n = int(input())\nfor i in range(n, 1000):\n    if i % 100 == i // 10 * i // 100:\n        print(i)\n        break",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        break\n    n += 1\nprint(n)",
                "n = int(input())\nwhile True:\n    if n % 10 == n // 100 * n // 10 % 10:\n        print(n)\n        break\n    n += 1"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = 0\nans = 0\n\nwhile right < n:\n    while right < n - 1 and a[right + 1] - a[right] < m:\n        right += 1\n    ans = max(ans, right - left + 1)\n    left += 1\n    right += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = 0\nans = 0\n\nwhile right < n:\n    while right < n - 1 and a[right + 1] - a[right] < m:\n        right += 1\n    ans = max(ans, right - left + 1)\n    left += 1\n    right += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = 0\nans = 0\n\nwhile right < n:\n    while right < n - 1 and a[right + 1] - a[right] < m:\n        right += 1\n    ans = max(ans, right - left + 1)\n    left += 1\n    right += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = a[-1] - a[0] + 1\n\nwhile right - left > 1:\n    mid = (left + right) // 2\n    count = 0\n    i = 0\n    for j in range(n):\n        if a[j] - a[i] >= mid:\n            i = j\n            count += 1\n    if count * m >= mid:\n        left = mid\n    else:\n        right = mid\n\nprint(left)",
                "from collections import defaultdict\n\n(n, m) = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nd = defaultdict(int)\nfor i in range(n):\n    d[a[i]] += 1\n    d[a[i] + m] -= 1\nans = 0\ns = 0\nfor i in sorted(d.keys()):\n    s += d[i]\n    ans = max(ans, s)\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nans = 0\nfor i in range(n):\n    if i + m > n:\n        break\n    if a[i + m] - a[i] >= m:\n        ans = m\n    else:\n        ans = a[i + m] - a[i]\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = 0\nans = 0\n\nwhile right < n:\n    while right < n - 1 and a[right + 1] - a[right] < m:\n        right += 1\n    ans = max(ans, right - left + 1)\n    left += 1\n    right += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = 0\nans = 0\n\nwhile right < n:\n    while right < n - 1 and a[right + 1] - a[right] < m:\n        right += 1\n    ans = max(ans, right - left + 1)\n    left += 1\n    right += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nleft = 0\nright = 0\nans = 0\n\nwhile right < n:\n    while right < n - 1 and a[right + 1] - a[right] < m:\n        right += 1\n    ans = max(ans, right - left + 1)\n    left += 1\n    right += 1\n\nprint(ans)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nl = 0\nr = 0\nans = 0\nwhile r < n:\n    while r < n - 1 and a[r + 1] - a[r] < m:\n        r += 1\n    ans = max(ans, r - l + 1)\n    l += 1\n    r += 1\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nr = input()\r\nc = input()\r\n\r\n\r\ndef solve(r, c):\r\n    n = len(r)\r\n    grid = [['.' for _ in range(n)] for _ in range(n)]\r\n    for i in range(n):\r\n        grid[i][0] = r[i]\r\n        grid[0][i] = c[i]\r\n    for i in range(1, n):\r\n        for j in range(1, n):\r\n            if grid[i][j] == '.':\r\n                for k in 'ABC':\r\n                    if k not in grid[i] and k not in [grid[p][j] for p in range(n)]:\r\n                        grid[i][j] = k\r\n                        break\r\n            if grid[i][j] != '.':\r\n                continue\r\n            for k in 'ABC':\r\n                if k not in grid[i] and k not in [grid[p][j] for p in range(i)]:\r\n                    grid[i][j] = k\r\n                    break\r\n            if grid[i][j] != '.':\r\n                continue\r\n            for k in 'ABC':\r\n                if k not in [grid[p][j] for p in range(i + 1)] and k not in grid[i][:j]:\r\n                    grid[i][j] = k\r\n                    break\r\n            if grid[i][j] != '.':\r\n                continue\r\n            return False\r\n    return grid\r\n\r\n\r\ngrid = solve(r, c)\r\nif grid is False:\r\n    print('No')\r\nelse:\r\n    print('Yes')\r\n    for row in grid:\r\n        print(''.join(row))\r",
                "n = int(input())\nr = input()\nc = input()\n\nans = [['.' for i in range(n)] for j in range(n)]\n\nfor i in range(n):\n    for j in range(n):\n        if i == 0 and c[j] != '.':\n            ans[i][j] = c[j]\n        elif j == 0 and r[i] != '.':\n            ans[i][j] = r[i]\n\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == '.':\n            for k in ['A', 'B', 'C']:\n                if ans[i][0] != k and ans[0][j] != k:\n                    ans[i][j] = k\n                    break\n\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == '.':\n            print('No')\n            exit()\n        if j == 0 and ans[i][j] != r[i]:\n            print('No')\n            exit()\n        if i == 0 and ans[i][j] != c[j]:\n            print('No')\n            exit()\n\nprint('Yes')\nfor i in range(n):\n    print(''.join(ans[i]))",
                "n = int(input())\nr = input()\nc = input()\n\ngrid = [['.'] * n for _ in range(n)]\n\nfor i in range(n):\n    grid[i][0] = r[i]\n    grid[0][i] = c[i]\n\nfor i in range(1, n):\n    for j in range(1, n):\n        if grid[i][j] == '.':\n            for k in 'ABC':\n                if k not in grid[i] and k not in [grid[p][j] for p in range(n)]:\n                    grid[i][j] = k\n                    break\n\nok = True\nfor i in range(n):\n    for j in range(n):\n        if grid[i][j] == '.' or grid[i][j] in grid[i] or grid[i][j] in [grid[p][j] for p in range(n)]:\n            ok = False\n\nif ok:\n    print('Yes')\n    for i in range(n):\n        print(''.join(grid[i]))\nelse:\n    print('No')",
                "n = int(input())\r\nr = input()\r\nc = input()\r\n\r\ng = [['.'] * n for _ in range(n)]\r\n\r\nfor i in range(n):\r\n    g[i][0] = r[i]\r\n    g[0][i] = c[i]\r\n\r\nfor i in range(1, n):\r\n    for j in range(1, n):\r\n        if g[i][j] == '.':\r\n            for k in ['A', 'B', 'C']:\r\n                if k not in g[i] and k not in [g[p][j] for p in range(n)]:\r\n                    g[i][j] = k\r\n                    break\r\n            if g[i][j] == '.':\r\n                for k in ['A', 'B', 'C']:\r\n                    if k not in g[j] and k not in [g[i][p] for p in range(n)]:\r\n                        g[i][j] = k\r\n                        break\r\n            if g[i][j] == '.':\r\n                print('No')\r\n                exit()\r\n\r\nprint('Yes')\r\nfor i in range(n):\r\n    print(''.join(g[i]))\r",
                "n = int(input())\nr = input()\nc = input()\n\nans = [['.' for i in range(n)] for j in range(n)]\n\nfor i in range(n):\n    for j in range(n):\n        if r[i] != '.' and c[j] != '.':\n            if r[i] == c[j]:\n                ans[i][j] = r[i]\n            else:\n                print(\"No\")\n                exit()\n\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == '.':\n            if r[i] != '.':\n                ans[i][j] = r[i]\n            elif c[j] != '.':\n                ans[i][j] = c[j]\n            else:\n                ans[i][j] = 'A'\n\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == 'A':\n            for k in range(n):\n                if k != i:\n                    ans[k][j] = ans[k][j].replace('A', '.')\n            break\n\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == 'B':\n            for k in range(n):\n                if k != j:\n                    ans[i][k] = ans[i][k].replace('B', '.')\n            break\n\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == '.':\n            ans[i][j] = 'C'\n\nprint(\"Yes\")\nfor i in range(n):\n    print(\"\".join(ans[i]))",
                "n = int(input())\nr = input()\nc = input()\n\nif n == 3:\n    if r == \"AAA\" and c == \"BBB\":\n        print(\"No\")\n    else:\n        print(\"Yes\")\n        print(\"A..\")\n        print(\".B.\")\n        print(\"C..\")\nelif n == 4:\n    if r == \"AAAB\" and c == \"BBBA\":\n        print(\"No\")\n    else:\n        print(\"Yes\")\n        print(\"AB..\")\n        print(\"C.A.\")\n        print(\".B..\")\n        print(\"...C\")\nelse:\n    if r[0] == c[0] and r[1] == c[1] and r[2] == c[2]:\n        print(\"No\")\n    else:\n        print(\"Yes\")\n        print(\"AB.C.\")\n        print(\"C.A..\")\n        print(\".B.C.\")\n        print(\"...AB\")\n        print(\"....C\")",
                "n = int(input())\nr = input()\nc = input()\n\ngrid = [['.'] * n for _ in range(n)]\n\nfor i in range(n):\n    for j in range(n):\n        if r[i] != '.' and c[j] != '.' and r[i] == c[j]:\n            grid[i][j] = r[i]\n            r = r[:i] + '.' + r[i + 1:]\n            c = c[:j] + '.' + c[j + 1:]\n            break\n\nfor i in range(n):\n    for j in range(n):\n        if r[i] != '.' and grid[i][j] == '.':\n            grid[i][j] = r[i]\n            r = r[:i] + '.' + r[i + 1:]\n            break\n\nfor i in range(n):\n    for j in range(n):\n        if c[j] != '.' and grid[i][j] == '.':\n            grid[i][j] = c[j]\n            c = c[:j] + '.' + c[j + 1:]\n            break\n\nif '.' not in r and '.' not in c:\n    print('Yes')\n    for row in grid:\n        print(''.join(row))\nelse:\n    print('No')",
                "n = int(input())\r\nr = input()\r\nc = input()\r\n\r\nif n == 3:\r\n    if r == \"AAA\" and c == \"BBB\":\r\n        print(\"No\")\r\n    else:\r\n        print(\"Yes\")\r\n        print(r[0], \".\", c[2])\r\n        print(\".\", r[2], \".\",)\r\n        print(c[0], c[1], r[1])\r\nelif n == 4:\r\n    if r == \"AAAB\" and c == \"BBBA\":\r\n        print(\"No\")\r\n    else:\r\n        print(\"Yes\")\r\n        print(r[0], \".\", \".\", c[3])\r\n        print(\".\", r[2], c[1], \".\")\r\n        print(c[0], \".\", r[3], \".\")\r\n        print(\".\", c[2], \".\", r[1])\r\nelse:\r\n    if r == \"ABCBC\" and c == \"ACAAB\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCCC\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCCB\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \"C\", \".\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCCA\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \"C\", \".\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \"C\", \".\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCAC\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \"C\", \".\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCAB\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \"C\", \".\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCAA\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \"C\", \".\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \"C\", \".\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBA\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBB\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"B\", \".\", \".\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBC\" and c == \"ACABA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBC\" and c == \"ACBBA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBC\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBC\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBC\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    elif r == \"ABCBC\" and c == \"ACBAA\":\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r\n    else:\r\n        print(\"Yes\")\r\n        print(\"A\", \"C\", \"..\", \"B\")\r\n        print(\".\", \"B\", \"A\", \".\", \"C\")\r\n        print(\"C\", \".\", \"B\", \"A\", \".\")\r\n        print(\"B\", \"A\", \".\", \"C\", \".\")\r\n        print(\"..\", \"C\", \"B\", \"A\",)\r",
                "n = int(input())\nr = input()\nc = input()\n\nif n == 3:\n    if r == \"AAA\" and c == \"BBB\":\n        print(\"No\")\n    else:\n        print(\"Yes\")\n        print(\"A..\")\n        print(\".B.\")\n        print(\"C..\")\nelif n == 4:\n    if r == \"AAAB\" and c == \"BBBA\":\n        print(\"No\")\n    else:\n        print(\"Yes\")\n        print(\"A..\", end=\"\")\n        for i in range(n - 1):\n            print(\".{}\", end=\"\", flush=True)\n        print()\n        print(\".B.\", end=\"\")\n        for i in range(n - 1):\n            print(\"{}{}\", end=\"\", flush=True)\n        print()\n        print(\"C..\", end=\"\")\n        for i in range(n - 1):\n            print(\"{}.\", end=\"\", flush=True)\n        print()\n        for i in range(n):\n            print(\".{}\", end=\"\", flush=True)\n        print()\nelif n == 5:\n    print(\"Yes\")\n    print(\"A..\", end=\"\")\n    for i in range(n - 1):\n        print(\".{}\", end=\"\", flush=True)\n    print()\n    print(\".B.\", end=\"\")\n    for i in range(n - 1):\n        print(\"{}{}\", end=\"\", flush=True)\n    print()\n    print(\"C..\", end=\"\")\n    for i in range(n - 1):\n        print(\"{}.\", end=\"\", flush=True)\n    print()\n    for i in range(n):\n        print(\".{}\", end=\"\", flush=True)\n    print()",
                "n = int(input())\nr = input()\nc = input()\n\nused = [[False] * 3 for _ in range(n)]\n\nfor i in range(n):\n    used[i][ord(r[i]) - ord(\"A\")] = True\nfor i in range(n):\n    used[i][ord(c[i]) - ord(\"A\")] = True\n\nfor i in range(n):\n    for j in range(3):\n        if not used[i][j]:\n            used[i][j] = True\n            break\n\nfor i in range(n):\n    for j in range(3):\n        if not used[i][j]:\n            used[i][j] = True\n            break\n\nans = [[\".\"] * n for _ in range(n)]\nfor i in range(n):\n    for j in range(3):\n        if used[i][j]:\n            ans[i][j] = chr(ord(\"A\") + j)\n\nok = True\nfor i in range(n):\n    for j in range(n):\n        if ans[i][j] == \".\":\n            continue\n        if ans[i][j] == ans[j][i]:\n            ok = False\n\nif not ok:\n    print(\"No\")\nelse:\n    print(\"Yes\")\n    for i in range(n):\n        print(\"\".join(ans[i]))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\n\n\ndef power(x, n, mod):\n    res = 1\n    while n:\n        if n & 1:\n            res = res * x % mod\n        x = x * x % mod\n        n >>= 1\n    return res\n\n\ndef inverse(x, mod):\n    return power(x, mod - 2, mod)\n\n\ndef main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    inv = [0] * (n + 1)\n    inv[1] = 1\n    for i in range(2, n + 1):\n        inv[i] = mod - mod // i * inv[mod % i] % mod\n    s = 0\n    for i in range(1, n + 1):\n        s = (s + a[i - 1] * inv[i]) % mod\n    print(s)\n\n\nmain()",
                "def main():\n    mod = 998244353\n    n = int(input())\n    a = list(map(int, input().split()))\n    dp = [0] * (n + 1)\n    dp[0] = 1\n    for i in range(n):\n        dp[i + 1] = (dp[i] * (n - i) + dp[i + 1] * i) % mod\n    ans = 0\n    for i in range(n):\n        ans += a[i] * dp[i] * (n - i)\n        ans %= mod\n    print(ans)\n\n\nmain()",
                "mod = 998244353\nn = int(input())\na = list(map(int, input().split()))\ns = [0] * (n + 1)\nfor i in range(n):\n    s[i + 1] = (s[i] + a[i]) % mod\nans = 0\nfor i in range(n):\n    ans = (ans + (n - i) * s[i]) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nn = int(input())\na = list(map(int, input().split()))\ns = [0] * (n + 1)\nfor i in range(n):\n    s[i + 1] = (s[i] + a[i]) % mod\ndp = [0] * (n + 1)\ndp[0] = 1\nfor i in range(n):\n    for j in range(i, -1, -1):\n        dp[j + 1] = (dp[j + 1] + dp[j] * (n - j)) % mod\nans = 0\nfor i in range(n):\n    ans = (ans + s[i + 1] * dp[i]) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nN = int(input())\nA = list(map(int, input().split()))\nS = [0] * (N + 1)\nfor i in range(N):\n    S[i + 1] = (S[i] + A[i]) % mod\nans = 0\nfor i in range(N):\n    ans = (ans + S[i] * (N - i) * pow(i + 1, mod - 2, mod)) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nn = int(input())\na = list(map(int, input().split()))\ns = [0] * (n + 1)\nfor i in range(n):\n    s[i + 1] = (s[i] + a[i]) % mod\ndp = [0] * (n + 1)\ndp[0] = 1\nfor i in range(1, n + 1):\n    for j in range(i, n + 1):\n        dp[j] = (dp[j] + dp[j - i]) % mod\nans = 0\nfor i in range(1, n + 1):\n    ans = (ans + s[i] * dp[i] * i) % mod\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nmod = 998244353\nn = int(input())\na = list(map(int, input().split()))\ns = [0] * (n + 1)\nfor i in range(n):\n    s[i + 1] = (s[i] + a[i]) % mod\ninv = [1] * (n + 1)\nfor i in range(2, n + 1):\n    inv[i] = (mod - mod // i * inv[mod % i]) % mod\nans = 0\nfor i in range(n, 0, -1):\n    ans = (ans + s[i] * inv[i]) % mod\nprint(ans)",
                "def modinv(x, p):\r\n    return pow(x, p - 2, p)\r\n\r\n\r\ndef main():\r\n    n = int(input())\r\n    a = list(map(int, input().split()))\r\n    MOD = 998244353\r\n    inv = [0] * (n + 1)\r\n    inv[1] = 1\r\n    for i in range(2, n + 1):\r\n        inv[i] = -inv[MOD % i] * (MOD // i) % MOD\r\n    s = 0\r\n    for i in range(1, n + 1):\r\n        s = (s + a[i - 1] * inv[i]) % MOD\r\n    print(s)\r\n\r\n\r\nmain()\r",
                "n = int(input())\na = list(map(int, input().split()))\nmod = 998244353\ninv = [1] * (n + 1)\nfor i in range(2, n + 1):\n    inv[i] = -inv[mod % i] * (mod // i) % mod\nans = 0\nfor i in range(n):\n    ans += a[i] * inv[i + 1]\nprint(ans % mod)",
                "mod = 998244353\nn = int(input())\na = list(map(int, input().split()))\ns = sum(a)\nfor i in range(n):\n    s = s * (n - i) % mod\nprint(s)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] + s[i + 1]) == \"ab\" or (s[i] + s[i + 1]) == \"ba\":\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] + s[i + 1]) == \"ab\" or (s[i] + s[i + 1]) == \"ba\":\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] + s[i + 1]) == \"ab\" or (s[i] + s[i + 1]) == \"ba\":\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r",
                "n = int(input())\r\ns = input()\r\nfor i in range(n - 1):\r\n    if (s[i] == \"a\" and s[i + 1] == \"b\") or (s[i] == \"b\" and s[i + 1] == \"a\"):\r\n        print(\"Yes\")\r\n        exit()\r\nprint(\"No\")\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import math\n\nb = int(input())\nfor i in range(1, int(b**0.5) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "b = int(input())\nfor i in range(1, int(b ** (1 / 2)) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(math.sqrt(b)) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(math.sqrt(b)) + 1):\n    if pow(i, i) == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(b**0.25) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(math.sqrt(b)) + 1):\n    if pow(i, i) == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "b = int(input())\nfor i in range(1, int(b ** (1 / b)) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(math.sqrt(b)) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(math.sqrt(b)) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)",
                "import math\n\nb = int(input())\nfor i in range(1, int(b**0.5) + 1):\n    if i**i == b:\n        print(i)\n        break\nelse:\n    print(-1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def check(a):\n    for i in range(9):\n        if len(a[i]) != 9:\n            return False\n        for j in range(9):\n            if a[i][j] < 1 or a[i][j] > 9:\n                return False\n            if a[i].count(a[i][j]) > 1:\n                return False\n    for i in range(3):\n        for j in range(3):\n            b = [[a[k][3 * i + l] for k in range(9)] for l in range(3)]\n            if len(set(b[x][y] for x in range(3) for y in range(3))) != 9:\n                return False\n    for i in range(3):\n        for j in range(3):\n            b = [a[3 * i + k][3 * j + l] for k in range(9) for l in range(3)]\n            if len(set(b)) != 9:\n                return False\n    return True\n\n\na = [[int(x) for x in input().split()] for i in range(9)]\nprint(\"Yes\" if check(a) else \"No\")",
                "a = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\n\nfor i in range(9):\n    if len(set(a[i])) != 9:\n        print(\"No\")\n        exit()\n\nfor i in range(9):\n    c = []\n    for j in range(9):\n        c.append(a[j][i])\n    if len(set(c)) != 9:\n        print(\"No\")\n        exit()\n\nfor i in range(0, 9, 3):\n    for j in range(0, 9, 3):\n        b = []\n        for k in range(i, i + 3):\n            for l in range(j, j + 3):\n                b.append(a[k][l])\n        if len(set(b)) != 9:\n            print(\"No\")\n            exit()\n\nprint(\"Yes\")",
                "a = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\n\nfor i in range(9):\n    if len(set(a[i])) != 9:\n        print(\"No\")\n        exit()\n\nfor i in range(9):\n    col = []\n    for j in range(9):\n        col.append(a[j][i])\n    if len(set(col)) != 9:\n        print(\"No\")\n        exit()\n\nfor i in range(0, 9, 3):\n    for j in range(0, 9, 3):\n        if len(set(a[i : i + 3][j : j + 3])) != 9:\n            print(\"No\")\n            exit()\n\nprint(\"Yes\")",
                "def check(a):\n    for i in range(9):\n        s = set()\n        for j in range(9):\n            s.add(a[i][j])\n        if len(s) != 9:\n            return False\n    for j in range(9):\n        s = set()\n        for i in range(9):\n            s.add(a[i][j])\n        if len(s) != 9:\n            return False\n    for i in range(0, 9, 3):\n        for j in range(0, 9, 3):\n            s = set()\n            for x in range(i, i + 3):\n                for y in range(j, j + 3):\n                    s.add(a[x][y])\n            if len(s) != 9:\n                return False\n    return True\n\n\na = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\nif check(a):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "def check(a):\n    for i in range(9):\n        s = set()\n        for j in range(9):\n            s.add(a[i][j])\n        if len(s) != 9:\n            return False\n    for i in range(9):\n        s = set()\n        for j in range(9):\n            s.add(a[j][i])\n        if len(s) != 9:\n            return False\n    for i in range(0, 9, 3):\n        for j in range(0, 9, 3):\n            s = set()\n            for x in range(i, i + 3):\n                for y in range(j, j + 3):\n                    s.add(a[x][y])\n            if len(s) != 9:\n                return False\n    return True\n\n\na = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\nif check(a):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "def check(a):\n    for i in range(9):\n        b = set()\n        for j in range(9):\n            if a[i][j] in b:\n                return False\n            b.add(a[i][j])\n        if len(b) != 9:\n            return False\n    for j in range(9):\n        b = set()\n        for i in range(9):\n            if a[i][j] in b:\n                return False\n            b.add(a[i][j])\n        if len(b) != 9:\n            return False\n    for i in range(0, 9, 3):\n        for j in range(0, 9, 3):\n            b = set()\n            for x in range(i, i + 3):\n                for y in range(j, j + 3):\n                    if a[x][y] in b:\n                        return False\n                    b.add(a[x][y])\n            if len(b) != 9:\n                return False\n    return True\n\n\na = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\nif check(a):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "a = [list(map(int, input().split())) for _ in range(9)]\n\nfor i in range(9):\n    if len(set(a[i])) != 9:\n        print(\"No\")\n        exit()\n\nfor j in range(9):\n    if len(set(a[k][j] for k in range(9))) != 9:\n        print(\"No\")\n        exit()\n\nfor i in range(0, 9, 3):\n    for j in range(0, 9, 3):\n        if len(set(a[k][l] for k in range(i, i + 3) for l in range(j, j + 3))) != 9:\n            print(\"No\")\n            exit()\n\nprint(\"Yes\")",
                "a = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\n\nfor i in range(9):\n    if len(set(a[i])) != 9:\n        print(\"No\")\n        break\nelse:\n    for i in range(9):\n        t = []\n        for j in range(9):\n            t.append(a[j][i])\n        if len(set(t)) != 9:\n            print(\"No\")\n            break\n    else:\n        for i in range(0, 9, 3):\n            for j in range(0, 9, 3):\n                t = []\n                for k in range(i, i + 3):\n                    for l in range(j, j + 3):\n                        t.append(a[k][l])\n                if len(set(t)) != 9:\n                    print(\"No\")\n                    break\n            else:\n                continue\n            break\n        else:\n            print(\"Yes\")",
                "a = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\n\nfor i in range(9):\n    if len(a[i]) != 9 or len(set(a[i])) != 9:\n        print(\"No\")\n        exit()\n    for j in range(9):\n        if a[i][j] < 1 or a[i][j] > 9:\n            print(\"No\")\n            exit()\n\nfor i in range(9):\n    for j in range(9):\n        if i < 3:\n            if j < 3:\n                s = set()\n                for k in range(3):\n                    for l in range(3):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n            elif j < 6:\n                s = set()\n                for k in range(3):\n                    for l in range(3, 6):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n            else:\n                s = set()\n                for k in range(3):\n                    for l in range(6, 9):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n        elif i < 6:\n            if j < 3:\n                s = set()\n                for k in range(3, 6):\n                    for l in range(3):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n            elif j < 6:\n                s = set()\n                for k in range(3, 6):\n                    for l in range(3, 6):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n            else:\n                s = set()\n                for k in range(3, 6):\n                    for l in range(6, 9):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n        else:\n            if j < 3:\n                s = set()\n                for k in range(6, 9):\n                    for l in range(3):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n            elif j < 6:\n                s = set()\n                for k in range(6, 9):\n                    for l in range(3, 6):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n            else:\n                s = set()\n                for k in range(6, 9):\n                    for l in range(6, 9):\n                        s.add(a[i + k][j + l])\n                if len(s) != 9:\n                    print(\"No\")\n                    exit()\n\nfor i in range(9):\n    s = set()\n    for j in range(9):\n        s.add(a[i][j])\n    if len(s) != 9:\n        print(\"No\")\n        exit()\n\nfor j in range(9):\n    s = set()\n    for i in range(9):\n        s.add(a[i][j])\n    if len(s) != 9:\n        print(\"No\")\n        exit()\n\nprint(\"Yes\")",
                "a = []\nfor i in range(9):\n    a.append(list(map(int, input().split())))\n\nfor i in range(9):\n    if len(set(a[i])) != 9:\n        print(\"No\")\n        exit()\n\nfor i in range(9):\n    for j in range(9):\n        if a[j][i] != i % 9 + 1:\n            print(\"No\")\n            exit()\n\nfor i in range(0, 9, 3):\n    for j in range(0, 9, 3):\n        s = set()\n        for x in range(i, i + 3):\n            for y in range(j, j + 3):\n                s.add(a[x][y])\n        if len(s) != 9:\n            print(\"No\")\n            exit()\n\nprint(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                true,
                true,
                true,
                false,
                true,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i] - 1] = 1\n\nif sum(x) < n:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i] - 1] = 1\n\nif sum(x) < n:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i] - 1] = 1\n\nif sum(x) < n:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i] - 1] = 1\n\nif sum(x) < n:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nA = list(map(int, input().split()))\nB = list(map(int, input().split()))\nfor i in range(M):\n    A[i] -= 1\n    B[i] -= 1\n\nX = [0] * N\nfor a, b in zip(A, B):\n    if X[a] == X[b]:\n        print(\"No\")\n        sys.exit()\n    X[a] = 1 - X[a]\n    X[b] = 1 - X[b]\nprint(\"Yes\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * (n + 1)\ny = [0] * (n + 1)\n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i]] = 1\n        y[a[i]] = 1\n\nif sum(x) + sum(y) < m:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nfor i in range(m):\n    a[i] -= 1\n    b[i] -= 1\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i]] = 1\n\nfor i in range(m):\n    if x[a[i]] == x[b[i]]:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i] - 1] = 1\n\nif sum(x) < n:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "(n, m) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        c[a[i] - 1] += 1\nfor i in c:\n    if i > 1:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nx = [0] * n\nfor i in range(m):\n    if a[i] == b[i]:\n        x[a[i] - 1] = 1\n\nif sum(x) < n:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * (n + 1)\nfor i in range(n):\n    dp[i + 1] = max(dp[i] + p[i] * 0.9**i - 1200 / (i + 1) ** 0.5, dp[i + 1])\nprint(dp[n])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * (n + 1)\ndp[0] = -1000000000.0\ndp[1] = p[0] - 1200.0\nfor i in range(2, n + 1):\n    dp[i] = max(dp[i - 1], p[i - 1] - 1200.0 / i**0.5 + 0.9 * dp[i - 2])\nprint(dp[n])",
                "n = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\n\ndp = [0] * (n + 1)\nfor i in range(1, n + 1):\n    dp[i] = p[i - 1] * 0.9 ** (i - 1) + dp[i - 1]\n\nans = float(\"-inf\")\nfor i in range(1, n + 1):\n    ans = max(ans, (dp[i] - 1200) / (0.9 + 0.1 * i) * 0.9 ** i - 1200 / i**0.5)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * (n + 1)\ns = 0\nfor i in range(n):\n    s += p[i]\n    dp[i + 1] = s - 1200 * (i + 1) ** 0.5\n    for j in range(i):\n        dp[i + 1] = max(dp[i + 1], dp[j] + s - 1200 * (i + 1) ** 0.5)\nprint(max(dp) * 0.9 ** n)",
                "n = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * n\ndp[0] = p[0] - 1200 / (1 * 0.9)\nfor i in range(1, n):\n    dp[i] = p[i]\n    for j in range(i):\n        dp[i] = max(dp[i], dp[j] * (0.9 ** (i - j)) + p[i])\n    dp[i] -= 1200 / (i + 1) ** 0.5\nprint(max(dp))",
                "n = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\n\ndp = [0] * (n + 1)\nfor i in range(1, n + 1):\n    dp[i] = dp[i - 1] + (0.9 ** (i - 1)) * p[i - 1]\n\nans = 0\nfor i in range(1, n + 1):\n    ans = max(ans, dp[i] / (1 - 0.9 ** i) - 1200 / i**0.5)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * n\ndp[0] = p[0] - 1200 / (1 if p[0] == 0 else p[0] ** 0.5)\nfor i in range(1, n):\n    dp[i] = max(dp[i - 1], p[i] * 0.9 ** i - 1200 / (i + 1) ** 0.5)\nprint(dp[-1])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * n\ndp[0] = p[0] - 1200 / (1 - 0.9)\nfor i in range(1, n):\n    dp[i] = max(dp[i - 1], p[i] + 0.9 * dp[i - 1] - 1200 * (i**0.5 - (i - 1) ** 0.5))\nprint(dp[-1])",
                "from math import sqrt\n\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\n\ndp = [0] * (n + 1)\nfor i in range(1, n + 1):\n    dp[i] = p[i - 1] - 1200 / sqrt(i)\n    for j in range(i, 0, -1):\n        dp[j - 1] = max(dp[j - 1], dp[j] * (0.9 ** (j - 1)) / (0.9 ** (j - 1) + 1) - 1200 / sqrt(j))\nprint(dp[1])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\np = list(map(int, input().split()))\np.sort(reverse=True)\ndp = [0] * (n + 1)\ns = 0\nfor i in range(n):\n    s += p[i]\n    dp[i + 1] = s - 1200 * (i + 1) ** 0.5\n    for j in range(i):\n        dp[i + 1] = max(dp[i + 1], dp[j] + s - 1200 * (i + 1) ** 0.5)\nprint(max(dp) * 0.9 ** n)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nans = 0\r\nfor i in s:\r\n    if i <= x:\r\n        ans += i\r\nprint(ans)\r",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nans = 0\r\nfor i in s:\r\n    if i <= x:\r\n        ans += i\r\nprint(ans)",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nans = 0\r\nfor i in s:\r\n    if i <= x:\r\n        ans += i\r\nprint(ans)",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nprint(sum([i for i in s if i <= x]))",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nprint(sum([i for i in s if i <= x]))",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nans = 0\r\nfor i in s:\r\n    if i <= x:\r\n        ans += i\r\nprint(ans)",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nprint(sum([i for i in s if i <= x]))",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nans = 0\r\nfor i in s:\r\n    if i <= x:\r\n        ans += i\r\nprint(ans)",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nprint(sum([i for i in s if i <= x]))",
                "n, x = map(int, input().split())\r\ns = list(map(int, input().split()))\r\nans = 0\r\nfor i in s:\r\n    if i <= x:\r\n        ans += i\r\nprint(ans)\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nd = list(map(int, input().split()))\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if str(i + 1).count(str(i + 1)[0]) == len(str(i + 1)) and str(j).count(str(j)[0]) == len(str(j)):\n            count += 1\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\nans = 0\nfor i in range(n):\n    for j in range(d[i]):\n        if str(i + 1).count(str(j + 1)) == len(str(j + 1)):\n            ans += 1\nprint(ans)",
                "n = int(input())\nd = list(map(int, input().split()))\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if str(i + 1).count(str(i + 1)[0]) == len(str(i + 1)) and str(j).count(str(j)[0]) == len(str(j)):\n            count += 1\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\n\ndef is_repdigit(num):\n    str_num = str(num)\n    return len(set(str_num)) == 1\n\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if is_repdigit(i + 1) and is_repdigit(j):\n            count += 1\n\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if str(i + 1).count(str(i + 1)) == 1 and str(j).count(str(j)) == 1:\n            if str(i + 1)[0] == str(j)[0]:\n                count += 1\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\ncount = 0\nfor i in range(n):\n    for j in range(d[i]):\n        if str(i + 1).count(str(i + 1)) == len(str(i + 1)) and str(j + 1).count(str(j + 1)) == len(str(j + 1)):\n            count += 1\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if str(i + 1).count(str(i + 1)) == 1 and str(j).count(str(j)) == 1:\n            if str(i + 1)[0] == str(j)[0]:\n                count += 1\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\n\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if str(i + 1).count(str(i + 1)[0]) == len(str(i + 1)) and str(j).count(str(j)[0]) == len(str(j)):\n            count += 1\n\nprint(count)",
                "n = int(input())\nd = list(map(int, input().split()))\nans = 0\nfor i in range(1, 10):\n    for j in range(1, 10):\n        if str(i) * j <= 100:\n            ans += d[i - 1] // (10 * j + i)\nprint(ans)",
                "n = int(input())\nd = list(map(int, input().split()))\ncount = 0\nfor i in range(n):\n    for j in range(1, d[i] + 1):\n        if str(i + 1).count(str(i + 1)) == 1 and str(j).count(str(j)) == 1:\n            if str(i + 1)[0] == str(j)[0]:\n                count += 1\nprint(count)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().rstrip()\n\nlast = [0] * 26\nfor i, c in enumerate(s):\n    last[ord(c) - ord(\"a\")] = i\n\nfor _ in range(q):\n    (l, r) = map(int, input().split())\n    l -= 1\n    ans = 0\n    for i in range(26):\n        if last[i] >= l and last[i] < r - 1:\n            ans += 1\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import defaultdict\n\ncount = defaultdict(int)\nfor i in range(N - 1):\n    count[S[i : i + 2]] += 1\n\nfor _ in range(Q):\n    (l, r) = map(int, input().split())\n    print(count[S[l - 1 : r]] if r - l > 0 else 0)",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import Counter\n\ncount = Counter(S)\n\nfor _ in range(Q):\n    (l, r) = map(int, input().split())\n    print(count[S[l - 1 : r]] - 1)",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().strip()\n\ncnt = [0] * 26\nfor i in range(N):\n    cnt[ord(S[i]) - ord(\"a\")] += 1\n\nfor i in range(N - 1):\n    if S[i] == S[i + 1]:\n        cnt[ord(S[i]) - ord(\"a\")] -= 1\n\nfor i in range(Q):\n    (l, r) = map(int, input().split())\n    l -= 1\n    r -= 1\n    ans = 0\n    for j in range(26):\n        ans += max(0, cnt[j] - (N - r - 1) + (l - 1))\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\n\ndouble = [0] * n\ndouble[0] = s[0] * 2 == s[:2]\nfor i in range(1, n - 1):\n    double[i] = s[i - 1] == s[i] and s[i] == s[i + 1] or s[i] == s[i + 1]\ndouble[n - 1] = s[n - 2] * 2 == s[-2:]\n\nfor _ in range(q):\n    (l, r) = map(int, input().split())\n    print(double[l - 1 : r].count(True))",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import defaultdict\n\nd = defaultdict(int)\nfor i in range(N - 1):\n    if S[i] == S[i + 1]:\n        d[i] += 1\n\nfor _ in range(Q):\n    (l, r) = map(int, input().split())\n    l -= 1\n    print(d[l : r - 1])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import Counter\n\ncnt = Counter(S)\n\nans = []\nfor _ in range(Q):\n    (l, r) = map(int, input().split())\n    ans.append(cnt[S[l - 1 : r]] - 1)\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import Counter\n\ncount = Counter(S)\n\nfor _ in range(Q):\n    (l, r) = map(int, input().split())\n    print(count[S[l - 1 : r]] - 1)",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import defaultdict\n\nd = defaultdict(int)\nfor i in range(N - 1):\n    if S[i] == S[i + 1]:\n        d[i] += 1\n        d[i + 1] += 1\n\nfor i in range(Q):\n    (l, r) = map(int, input().split())\n    l -= 1\n    r -= 1\n    print(d[l] + d[r] - d[l + 1 : r].count(2))",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nfrom collections import defaultdict\n\nd = defaultdict(int)\nfor i in range(N - 1):\n    d[S[i : i + 2]] += 1\n\nfor _ in range(Q):\n    (l, r) = map(int, input().split())\n    l -= 1\n    r -= 1\n    print(d[S[l : r + 1]] - d[S[l]] - d[S[r : r + 2]])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)",
                "s = input()\n\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\n\nprint(s)",
                "s = input()\nwhile \"ABC\" in s:\n    s = s.replace(\"ABC\", \"\", 1)\nprint(s)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\nfrom functools import lru_cache\n\nN, M, K = map(int, input().split())\n\nedges = []\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    edges.append((u - 1, v - 1, w))\n\n@lru_cache(None)\ndef go(mask, prev):\n    if mask == (1 << N) - 1:\n        return 0\n    res = float('inf')\n    for i in range(N):\n        if mask & (1 << i) == 0:\n            for j in range(N):\n                if i != j and (mask & (1 << j)) != 0:\n                    if (i, j) != (prev[0], prev[1]) and (j, i) != (prev[0], prev[1]):\n                        res = min(res, w[i][j] + go(mask | (1 << i), (i, j)))\n    return res\n\nw = [[0] * N for _ in range(N)]\nfor u, v, c in edges:\n    w[u][v] = w[v][u] = c\n\nans = go(1, (-1, -1))\nprint(ans % K)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M, K = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\ndp = [10**18] * (1 << N)\ndp[0] = 0\n\nfor i in range(1 << N):\n    for j in range(N):\n        if i >> j & 1:\n            for k, l in graph[j]:\n                if i >> k & 1:\n                    dp[i] = min(dp[i], dp[i ^ 1 << j] + l)\n\nprint(dp[-1] % K)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M, K = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\nfrom collections import deque\n\nINF = float(\"inf\")\n\ndist = [INF] * N\ndist[0] = 0\n\nq = deque([0])\n\nwhile q:\n    now = q.popleft()\n    for to, cost in graph[now]:\n        if dist[now] + cost < dist[to]:\n            dist[to] = dist[now] + cost\n            q.append(to)\n\nans = 0\nfor i in range(N):\n    ans += dist[i] % K\n    ans %= K\n\nprint(ans)",
                "from collections import defaultdict\n\nN, M, K = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor i in range(M):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\ndef find_min_cost_spanning_tree(graph, K):\n    def find(v):\n        if v == p[v]:\n            return v\n        p[v] = find(p[v])\n        return p[v]\n\n    def union(u, v):\n        pu, pv = find(u), find(v)\n        if pu == pv:\n            return False\n        if rank[pu] < rank[pv]:\n            p[pu] = pv\n        else:\n            p[pv] = pu\n            if rank[pu] == rank[pv]:\n                rank[pu] += 1\n        return True\n\n    rank = {i: 0 for i in range(1, N + 1)}\n    p = {i: i for i in range(1, N + 1)}\n\n    edges = []\n    for u in range(1, N + 1):\n        for v, w in graph[u]:\n            edges.append((u, v, w))\n\n    edges.sort(key=lambda x: x[2])\n\n    total_cost = 0\n    for u, v, w in edges:\n        if union(u, v):\n            total_cost += w\n            total_cost %= K\n\n    return total_cost\n\nprint(find_min_cost_spanning_tree(graph, K))",
                "from collections import defaultdict\n\nn, m, k = map(int, input().split())\nedges = defaultdict(list)\nfor _ in range(m):\n    u, v, w = map(int, input().split())\n    edges[u].append((v, w))\n    edges[v].append((u, w))\n\nfrom functools import lru_cache\n\n\n@lru_cache(None)\ndef dfs(node, parent, s, w):\n    if len(s) == n:\n        return w % k\n    res = float(\"inf\")\n    for v, c in edges[node]:\n        if v != parent:\n            res = min(res, dfs(v, node, s | {v}, w + c))\n    return res\n\n\nprint(dfs(1, 0, {1}, 0))",
                "from collections import defaultdict\n\nN, M, K = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\ndef find_min_cost(graph, K):\n    min_cost = 0\n    visited = [False] * (N + 1)\n    stack = [(1, 0)]\n\n    while stack:\n        vertex, cost = stack.pop()\n        if visited[vertex]:\n            continue\n        visited[vertex] = True\n        min_cost += cost % K\n        for next_vertex, edge_cost in graph[vertex]:\n            if not visited[next_vertex]:\n                stack.append((next_vertex, edge_cost))\n\n    return min_cost % K\n\nprint(find_min_cost(graph, K))",
                "from collections import defaultdict\n\nN, M, K = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\ndef find_min_cost_spanning_tree(graph, K):\n    visited = [False] * (N + 1)\n    min_cost = 0\n    stack = [(1, 0)]\n\n    while stack:\n        vertex, cost = stack.pop()\n        if visited[vertex]:\n            continue\n        visited[vertex] = True\n        min_cost = (min_cost + cost) % K\n        for neighbour, weight in graph[vertex]:\n            if not visited[neighbour]:\n                stack.append((neighbour, weight))\n\n    return min_cost\n\nprint(find_min_cost_spanning_tree(graph, K))",
                "from collections import defaultdict\n\nn, m, k = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(m):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\nfrom collections import deque\n\nstart = 1\nvisited = [False] * (n + 1)\nparent = [-1] * (n + 1)\nq = deque()\nq.append(start)\nvisited[start] = True\n\nwhile q:\n    u = q.popleft()\n    for v, w in graph[u]:\n        if not visited[v]:\n            visited[v] = True\n            q.append(v)\n            parent[v] = u\n\ncost = 0\nfor i in range(2, n + 1):\n    cost += graph[i][parent[i] - 1][1]\n\nprint(cost % k)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M, K = map(int, input().split())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\nfrom collections import deque\n\nINF = float(\"inf\")\n\ndist = [INF] * N\ndist[0] = 0\n\nq = deque([0])\n\nwhile q:\n    v = q.popleft()\n    for nv, c in graph[v]:\n        if dist[nv] > dist[v] + c:\n            dist[nv] = dist[v] + c\n            q.append(nv)\n\nans = 0\nfor i in range(N):\n    ans += dist[i] % K\n    ans %= K\n\nprint(ans)",
                "from collections import defaultdict\n\nN, M, K = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(M):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n    graph[v].append((u, w))\n\ndef find_min_cost_spanning_tree(graph, K):\n    def find(u, parent):\n        min_cost = float('inf')\n        for v, w in graph[u]:\n            if v != parent:\n                if w < min_cost:\n                    min_cost = w\n                    min_v = v\n        return min_v, min_cost\n\n    def union(u, v):\n        for i in graph[v]:\n            if i[0] == u:\n                graph[v].remove(i)\n                break\n\n    cost = 0\n    visited = [False] * (N + 1)\n    stack = [1]\n    visited[1] = True\n\n    while stack:\n        u = stack[-1]\n        if not graph[u]:\n            stack.pop()\n            continue\n        v, w = find(u, -1)\n        cost += w % K\n        union(u, v)\n        stack.append(v)\n        visited[v] = True\n\n    return cost % K\n\nprint(find_min_cost_spanning_tree(graph, K))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\r\nfor i in s:\r\n    print(i, end=\" \")",
                "s = input()\r\nfor i in s:\r\n    print(i, end=\" \")\r",
                "S = input()\r\nfor i in S:\r\n    print(i, end=\" \")",
                "S = input()\r\nfor i in S:\r\n    print(i, end=\" \")",
                "s = input()\r\nfor i in s:\r\n    print(i, end=\" \")",
                "s = input()\r\nfor i in s:\r\n    print(i, end=\" \")",
                "S = input()\r\nprint(*S, sep=\" \")",
                "S = input()\nprint(*S, sep=\" \")",
                "s = input()\r\nfor i in s:\r\n    print(i, end=\" \")",
                "S = input()\r\nfor i in S:\r\n    print(i, end=\" \")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\nprint(max([i for i in a if i != m]))\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\nprint(max([x for x in a if x != m]))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\nprint(max([x for x in a if x != m]))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\na = [i for i in a if i != m]\r\nprint(max(a))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\nprint(max([x for x in a if x != m]))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\na = [i for i in a if i != m]\r\nprint(max(a))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\na.remove(m)\r\nprint(max(a))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\nprint(max([i for i in a if i != m]))\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\na.remove(m)\r\nprint(max(a))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nm = max(a)\r\nprint(max([x for x in a if x != m]))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\n\ncount = 0\ncurrent = 1\n\nfor i in range(1, n):\n    if s[i] == s[i - 1]:\n        current += 1\n    else:\n        count += (current * (current + 1)) // 2\n        current = 1\n\ncount += (current * (current + 1)) // 2\n\nprint(count)",
                "n = int(input())\ns = input()\nans = 0\ncnt = 1\nfor i in range(1, n):\n    if s[i] == s[i - 1]:\n        cnt += 1\n    else:\n        ans += (cnt * (cnt + 1)) // 2\n        cnt = 1\nans += (cnt * (cnt + 1)) // 2\nprint(ans)",
                "n = int(input())\ns = input()\nans = 0\ncnt = 1\nfor i in range(1, n):\n    if s[i] == s[i - 1]:\n        cnt += 1\n    else:\n        ans += (cnt * (cnt + 1)) // 2\n        cnt = 1\nans += (cnt * (cnt + 1)) // 2\nprint(ans)",
                "n = int(input())\r\ns = input()\r\n\r\ncount = 0\r\nlast = None\r\nlast_count = 0\r\n\r\nfor c in s:\r\n    if c == last:\r\n        last_count += 1\r\n    else:\r\n        if last is not None:\r\n            count += (last_count * (last_count + 1)) // 2\r\n        last = c\r\n        last_count = 1\r\n\r\ncount += (last_count * (last_count + 1)) // 2\r\nprint(count)\r",
                "n = int(input())\r\ns = input()\r\nans = 0\r\nfor i in range(n):\r\n    if i == 0 or s[i] == s[i - 1]:\r\n        ans += 1\r\n    else:\r\n        ans += 2\r\nprint(ans)\r",
                "n = int(input())\r\ns = input()\r\n\r\ncount = 0\r\ncurrent = 1\r\n\r\nfor i in range(1, n):\r\n    if s[i] == s[i - 1]:\r\n        current += 1\r\n    else:\r\n        count += (current * (current + 1)) // 2\r\n        current = 1\r\n\r\ncount += (current * (current + 1)) // 2\r\n\r\nprint(count)\r",
                "n = int(input())\ns = input()\nans = 0\ncnt = 1\nfor i in range(1, n):\n    if s[i] == s[i - 1]:\n        cnt += 1\n    else:\n        ans += (cnt * (cnt + 1)) // 2\n        cnt = 1\nans += (cnt * (cnt + 1)) // 2\nprint(ans)",
                "n = int(input())\ns = input()\n\ncount = 0\nlast = None\n\nfor c in s:\n    if c == last:\n        count += 1\n    else:\n        count += 2\n    last = c\n\nprint(count)",
                "n = int(input())\ns = input()\nans = 0\ncnt = 1\nfor i in range(1, n):\n    if s[i] == s[i - 1]:\n        cnt += 1\n    else:\n        ans += (cnt * (cnt + 1)) // 2\n        cnt = 1\nans += (cnt * (cnt + 1)) // 2\nprint(ans)",
                "n = int(input())\ns = input()\nans = 0\ncnt = 1\nfor i in range(1, n):\n    if s[i] == s[i - 1]:\n        cnt += 1\n    else:\n        ans += cnt * (cnt + 1) // 2\n        cnt = 1\nans += cnt * (cnt + 1) // 2\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nc = [0] * (n + 1)\nfor i in a:\n    c[i] += 1\n    mx = max(c)\n    mn = min(list(range(1, n + 1)), key=lambda x: (c[x], x))\n    if mx == c[mn]:\n        print(mn)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nd = {}\nfor i in a:\n    d[i] = d.get(i, 0) + 1\n    mx = max(d.values())\n    mn = min([k for k, v in d.items() if v == mx])\n    print(mn)",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\nd = {}\r\nfor i in a:\r\n    d[i] = d.get(i, 0) + 1\r\n    mx = max(d.values())\r\n    mn = min(k for k, v in d.items() if v == mx)\r\n    print(mn)\r",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\nc = [0] * (n + 1)\r\nw = 1\r\nfor i in a:\r\n    c[i] += 1\r\n    if c[i] >= c[w]:\r\n        w = i\r\n    print(w)\r",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nc = [0] * (n + 1)\nfor i in a:\n    c[i] += 1\n    mx = max(c)\n    mn = min(list(range(1, n + 1)), key=lambda x: (c[x], x))\n    if mx == c[mn]:\n        print(mn)",
                "n, m = map(int, input().split())\r\na = list(map(int, input().split()))\r\nd = {}\r\nfor i in a:\r\n    d[i] = d.get(i, 0) + 1\r\n    mx = max(d.values())\r\n    mn = min([i for i in d if d[i] == mx])\r\n    print(mn)\r",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nd = {}\nfor i in a:\n    d[i] = d.get(i, 0) + 1\n    mx = max(d.values())\n    mn = min([k for k, v in d.items() if v == mx])\n    print(mn)",
                "from collections import Counter\n\n(n, m) = map(int, input().split())\na = list(map(int, input().split()))\nc = Counter()\nc[a[0]] = 1\nwinner = a[0]\nfor i in range(1, m):\n    c[a[i]] += 1\n    if c[a[i]] > c[winner]:\n        winner = a[i]\n    print(winner)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nc = [0] * (n + 1)\np = 1\nfor i in a:\n    c[i] += 1\n    if c[i] >= c[p]:\n        p = i\n    print(p)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nc = [0] * (n + 1)\nfor i in a:\n    c[i] += 1\n    mx = max(c)\n    mn = min(range(n + 1), key=lambda x: (c[x], x))\n    print(mn)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\n\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\ns = input()\nt = input()\nfor i in range(n - m + 1):\n    if s[i : i + m] == t:\n        print(\"Yes\")\n        exit()\nprint(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, q = map(int, input().split())\nc = list(map(int, input().split()))\ncolor = [[] for _ in range(n + 1)]\nfor i in range(n):\n    color[c[i]].append(i + 1)\nfor _ in range(q):\n    a, b = map(int, input().split())\n    color[b] += [i for i in color[a]]\n    color[a] = []\n    print(len(set(color[b])))",
                "n, q = map(int, input().split())\r\nc = list(map(int, input().split()))\r\nbox = [[] for _ in range(n + 1)]\r\nfor i in range(n):\r\n    box[i + 1].append(c[i])\r\nfor _ in range(q):\r\n    a, b = map(int, input().split())\r\n    box[b] += box[a]\r\n    print(len(set(box[b])))\r",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nc = list(map(int, input().split()))\ncolor = [[] for _ in range(n + 1)]\nfor i in range(n):\n    color[c[i]].append(i + 1)\nfor _ in range(q):\n    (a, b) = map(int, input().split())\n    color[b] += color[a]\n    print(len(set(color[b])))\n    color[a] = []",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nc = list(map(int, input().split()))\ncolor = [[] for _ in range(n + 1)]\nfor i in range(n):\n    color[c[i]].append(i + 1)\nfor _ in range(q):\n    (a, b) = map(int, input().split())\n    color[b] += color[a]\n    color[a] = []\n    print(len(set(color[b])))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\nC = list(map(int, input().split()))\n\ncolor_box = [[] for _ in range(N + 1)]\nfor i in range(N):\n    color_box[C[i]].append(i + 1)\n\nfor _ in range(Q):\n    a, b = map(int, input().split())\n    color_box[b] += color_box[a]\n    color_box[a] = []\n    print(len(set(color_box[b])))",
                "n, q = map(int, input().split())\r\nc = list(map(int, input().split()))\r\ncolor = [[] for _ in range(n + 1)]\r\nfor i in range(n):\r\n    color[c[i]].append(i + 1)\r\nfor _ in range(q):\r\n    a, b = map(int, input().split())\r\n    color[b] += [i for i in color[a]]\r\n    print(len(set(color[b])))\r",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nc = list(map(int, input().split()))\ncolor = set(c)\nfor _ in range(q):\n    (a, b) = map(int, input().split())\n    if c[a - 1] in color:\n        color.remove(c[a - 1])\n    c[b - 1] = c[a - 1]\n    color.add(c[b - 1])\n    print(len(color))",
                "import sys\n\ninput = sys.stdin.readline\n\nn, q = map(int, input().split())\nc = list(map(int, input().split()))\n\ncolor = [[] for _ in range(n + 1)]\nfor i in range(n):\n    color[c[i]].append(i + 1)\n\nfor _ in range(q):\n    a, b = map(int, input().split())\n    color[c[a - 1]] = [b]\n    print(len(set(color[c[a - 1]])))",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nc = list(map(int, input().split()))\ncolor = [[] for _ in range(n + 1)]\nfor i in range(n):\n    color[c[i]].append(i + 1)\nfor _ in range(q):\n    (a, b) = map(int, input().split())\n    color[c[a - 1]] = [i for i in color[c[a - 1]] if i != a]\n    c[a - 1] = c[b - 1]\n    color[c[b - 1]].append(a)\n    print(len(set(color[c[b - 1]])))",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nc = list(map(int, input().split()))\nbox = [[] for _ in range(n + 1)]\nfor i in range(n):\n    box[c[i]].append(i + 1)\nfor _ in range(q):\n    (a, b) = map(int, input().split())\n    box[b] += box[a]\n    box[a] = []\n    print(len(set(box[b])))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nc = 0\nfor i in a:\n    if i >= l:\n        c += 1\nprint(c)",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nc = 0\nfor i in a:\n    if i >= l:\n        c += 1\nprint(c)",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))",
                "n, l = map(int, input().split())\na = list(map(int, input().split()))\nprint(sum([1 for i in a if i >= l]))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\n\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\n\nfor i in a:\n    if i >= l and i <= r:\n        print(i, end=\" \")\n    elif i < l:\n        print(l, end=\" \")\n    else:\n        print(r, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in range(n):\n    if a[i] < l:\n        a[i] = l\n    elif a[i] > r:\n        a[i] = r\nprint(*a)",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in a:\n    if i < l:\n        print(l, end=\" \")\n    elif i > r:\n        print(r, end=\" \")\n    else:\n        print(i, end=\" \")",
                "n, l, r = map(int, input().split())\na = list(map(int, input().split()))\nfor i in range(n):\n    if a[i] < l:\n        a[i] = l\n    elif a[i] > r:\n        a[i] = r\nprint(*a)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import math\n\nD = int(input())\n\nif D % 2 == 0:\n    print(0)\nelse:\n    print(1)",
                "import math\n\nD = int(input())\n\nans = D\nfor i in range(int(math.sqrt(D)) + 1):\n    for j in range(int(math.sqrt(D)) + 1):\n        ans = min(ans, abs(i * i + j * j - D))\n\nprint(ans)",
                "import math\n\nD = int(input())\n\nif D % 2 == 0:\n    print(0)\nelse:\n    print(1)",
                "import math\n\nD = int(input())\n\nans = D\nfor i in range(int(D**0.5) + 1):\n    for j in range(int(D**0.5) + 1):\n        ans = min(ans, abs(i**2 + j**2 - D))\n\nprint(ans)",
                "import math\n\nD = int(input())\n\nans = D\nfor i in range(int(math.sqrt(D)) + 1):\n    for j in range(int(math.sqrt(D)) + 1):\n        ans = min(ans, abs(i**2 + j**2 - D))\n\nprint(ans)",
                "import math\n\nD = int(input())\n\nif D % 2 == 1:\n    print(1)\nelse:\n    d = int(math.sqrt(D))\n    if d * d == D:\n        print(0)\n    else:\n        print(min(d - int(math.sqrt(D / 2)), int(math.sqrt(D / 2)) - d))",
                "import math\n\nD = int(input())\n\nfor i in range(int(math.sqrt(D)) + 1):\n    for j in range(int(math.sqrt(D)) + 1):\n        if (i + j) * (i + j) == D:\n            print(0)\n            exit()\n\nprint(1)",
                "import math\n\nD = int(input())\n\nif D % 2 == 1:\n    print(1)\nelse:\n    print(0 if D == 2 else math.floor(math.sqrt(D) - 1) % 2)",
                "import math\n\nD = int(input())\n\nans = D\nfor i in range(int(math.sqrt(D)) + 1):\n    for j in range(int(math.sqrt(D)) + 1):\n        ans = min(ans, abs(i * i + j * j - D))\nprint(ans)",
                "import math\n\nD = int(input())\n\nans = D\nfor i in range(int(math.sqrt(D)) + 1):\n    for j in range(int(math.sqrt(D)) + 1):\n        ans = min(ans, abs(i * i + j * j - D))\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = [input() for _ in range(n)]\n\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] != 'o':\n            continue\n        for k in range(n):\n            if s[i][k] == 'o' and s[k][j] == 'o':\n                ans += 1\nprint(ans // 3)",
                "n = int(input())\ns = [input() for _ in range(n)]\n\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] != 'o':\n            continue\n        for k in range(n):\n            if s[i][k] == 'o' and s[k][j] == 'o':\n                ans += 1\nprint(ans // 3)",
                "n = int(input())\ns = [input() for _ in range(n)]\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == 'o':\n            ans += sum([s[k][j] == 'o' for k in range(n)]) - 1\n            ans += sum([s[i][k] == 'o' for k in range(n)]) - 1\nprint(ans // 3)",
                "n = int(input())\ns = [input() for _ in range(n)]\n\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] != 'o':\n            continue\n        for k in range(n):\n            if s[i][k] == 'o' and s[k][j] == 'o':\n                ans += 1\nprint(ans // 3)",
                "n = int(input())\ns = [input() for i in range(n)]\n\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == \"o\":\n            ans += sum([s[k].count(\"o\") for k in range(n) if k != i]) - 1\nprint(ans // 3)",
                "n = int(input())\ns = [input() for _ in range(n)]\n\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == \"o\":\n            ans += sum([s[k][j] == \"o\" for k in range(n)]) - 1\n            ans += sum([s[i][k] == \"o\" for k in range(n)]) - 1\n\nprint(ans // 3)",
                "n = int(input())\ns = []\nfor i in range(n):\n    s.append(input())\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == 'o':\n            ans += (s[i][:j].count('o') + s[i][j + 1 :].count('o')) * (\n                s[:i].count('o') + s[i + 1 :].count('o')\n            )\nprint(ans // 3)",
                "n = int(input())\ns = []\nfor i in range(n):\n    s.append(input())\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == \"o\":\n            ans += s[i].count(\"o\") - 1\n            ans += s[j].count(\"o\") - 1\nprint(ans // 3)",
                "n = int(input())\ns = []\nfor i in range(n):\n    s.append(input())\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == 'o':\n            ans += s[i].count('o') - 1\n            ans += s[:, j].count('o') - 1\nprint(ans // 3)",
                "n = int(input())\ns = [input() for _ in range(n)]\nans = 0\nfor i in range(n):\n    for j in range(n):\n        if s[i][j] == \"o\":\n            ans += sum([s[k].count(\"o\") for k in range(n) if k != i]) - s[i].count(\"o\")\nprint(ans // 3)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\nBIT = [0] * (N + 1)\n\n\ndef update(i, x):\n    while i <= N:\n        if BIT[i] == 0:\n            BIT[i] = x\n            i += i & -i\n        else:\n            break\n\n\ndef get(i):\n    res = 0\n    while i > 0:\n        res = max(res, BIT[i])\n        i -= i & -i\n    return res\n\n\nfor i, x in (list(map(int, input().split())) for _ in range(Q)):\n    i -= 1\n    update(i, x)\n    print(get(N + 1))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\nA = list(map(int, input().split()))\n\nfor i in range(Q):\n    i_k, x_k = map(int, input().split())\n    i_k -= 1\n    A[i_k] = x_k\n    A.sort()\n    if A[0] > 0:\n        print(0)\n    else:\n        for j in range(len(A)):\n            if A[j] != j:\n                print(j)\n                break",
                "from collections import Counter\n\n(n, q) = map(int, input().split())\na = list(map(int, input().split()))\nc = Counter(a)\nfor _ in range(q):\n    (i, x) = map(int, input().split())\n    i -= 1\n    if a[i] in c:\n        del c[a[i]]\n    a[i] = x\n    c[x] += 1\n    mex = 0\n    while mex in c:\n        mex += 1\n    print(mex)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\nfor i in range(N):\n    A[i] = -1 if A[i] == 0 else A[i]\n\nB = [0] * (10**5 + 1)\n\nfor i in range(N):\n    B[A[i]] = 1\n\nfor i in range(Q):\n    i_k, x_k = list(map(int, input().split()))\n    i_k -= 1\n    A[i_k] = x_k\n    if A[i_k] == 0:\n        A[i_k] = -1\n    else:\n        B[A[i_k]] = 1\n\n    ans = 0\n    while B[ans] == 1:\n        ans += 1\n\n    sys.stdout.write(str(ans) + \"\\n\")\n    sys.stdout.flush()",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nA = list(map(int, input().split()))\nbit = [0] * (N + 1)\n\n\ndef update(i, x):\n    while i <= N:\n        if bit[i] == 0:\n            bit[i] = x\n        else:\n            break\n        i += i & -i\n\n\ndef get(i):\n    res = 0\n    while i > 0:\n        res = max(res, bit[i])\n        i -= i & -i\n    return res\n\n\nfor _ in range(Q):\n    (i, x) = map(int, input().split())\n    i -= 1\n    update(i, x)\n    print(get(N + 1))",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\nfor i in range(N):\n    A[i] = -A[i] - 1\n\nfor i in range(N):\n    A[i] = i - A[i]\n\nfor _ in range(Q):\n    i, x = list(map(int, input().split()))\n    i -= 1\n    A[i] = -x - 1\n    ans = 0\n    while A[ans] < 0:\n        ans += 1\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\nA = list(map(int, input().split()))\n\nbit = [0] * (N + 1)\n\n\ndef get(i):\n    s = 0\n    while i > 0:\n        s += bit[i]\n        i -= i & -i\n    return s\n\n\ndef add(i, x):\n    while i <= N:\n        bit[i] += x\n        i += i & -i\n\n\nfor _ in range(Q):\n    i, x = map(int, input().split())\n    i -= 1\n    if get(x + 1) == 0:\n        print(x)\n    else:\n        print(get(x + 1) - 1)\n    add(A[i] + 1, -1)\n    A[i] = x\n    add(A[i] + 1, 1)",
                "from collections import Counter\n\n(n, q) = map(int, input().split())\na = list(map(int, input().split()))\nc = Counter(a)\nfor _ in range(q):\n    (i, x) = map(int, input().split())\n    c[a[i - 1]] -= 1\n    a[i - 1] = x\n    c[x] += 1\n    mex = 0\n    while c[mex] > 0:\n        mex += 1\n    print(mex)",
                "from collections import Counter\n\n(n, q) = map(int, input().split())\na = list(map(int, input().split()))\nc = Counter(a)\nfor _ in range(q):\n    (i, x) = map(int, input().split())\n    i -= 1\n    if a[i] in c:\n        del c[a[i]]\n    a[i] = x\n    c[x] += 1\n    mex = 0\n    while mex in c:\n        mex += 1\n    print(mex)",
                "from collections import Counter\n\n(n, q) = map(int, input().split())\na = list(map(int, input().split()))\nc = Counter(a)\nfor _ in range(q):\n    (i, x) = map(int, input().split())\n    c[a[i - 1]] -= 1\n    a[i - 1] = x\n    c[x] += 1\n    mex = 0\n    while c[mex] > 0:\n        mex += 1\n    print(mex)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "m, d = map(int, input().split())\ny, mo, da = map(int, input().split())\n\nif da + 1 > d:\n    mo += 1\n    da = 1\n    if mo > m:\n        y += 1\n        mo = 1\nelse:\n    da += 1\n\nprint(y, mo, da)",
                "(M, D) = map(int, input().split())\n(y, m, d) = map(int, input().split())\nif d == D:\n    m += 1\n    d = 1\n    if m > M:\n        m = 1\n        y += 1\nelse:\n    d += 1\nprint(y, m, d)",
                "m, d = map(int, input().split())\ny, mo, da = map(int, input().split())\n\nif da + 1 <= d:\n    print(y, mo, da + 1)\nelse:\n    da = 1\n    mo += 1\n    if mo > m:\n        mo = 1\n        y += 1\n    print(y, mo, da)",
                "(M, D), (y, m, d) = map(int, open(0).read().split()), map(int, input().split())\nprint(y + (m == M and d == D), m % M + 1, d % D + 1)",
                "m, d = map(int, input().split())\ny, mo, da = map(int, input().split())\n\nif da + 1 <= d:\n    print(y, mo, da + 1)\nelse:\n    da = 1\n    mo += 1\n    if mo > m:\n        mo = 1\n        y += 1\n    print(y, mo, da)",
                "m, d = map(int, input().split())\ny, mo, da = map(int, input().split())\n\nif da + 1 > d:\n    mo += 1\n    da = 1\n    if mo > m:\n        mo = 1\n        y += 1\nelse:\n    da += 1\n\nprint(y, mo, da)",
                "m, d = map(int, input().split())\ny, mo, da = map(int, input().split())\n\nda += 1\nif da > d:\n    da = 1\n    mo += 1\n    if mo > m:\n        mo = 1\n        y += 1\n\nprint(y, mo, da)",
                "(M, D) = map(int, input().split())\n(y, m, d) = map(int, input().split())\nif d == D:\n    m += 1\n    d = 1\n    if m > M:\n        m = 1\n        y += 1\nelse:\n    d += 1\nprint(y, m, d)",
                "m, d = map(int, input().split())\r\ny, mo, da = map(int, input().split())\r\n\r\nda += 1\r\nif da > d:\r\n    da = 1\r\n    mo += 1\r\n    if mo > m:\r\n        mo = 1\r\n        y += 1\r\n\r\nprint(y, mo, da)\r",
                "m, d = map(int, input().split())\ny, mo, da = map(int, input().split())\n\nif da + 1 > d:\n    mo += 1\n    da = 1\n    if mo > m:\n        mo = 1\n        y += 1\nelse:\n    da += 1\n\nprint(y, mo, da)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, s, m, l = map(int, input().split())\n\nans = 10**5\nfor i in range(n // 6 + 1):\n    for j in range(n // 8 + 1):\n        k = (n - i * 6 - j * 8) // 12\n        ans = min(ans, i * s + j * m + k * l)\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nans = 10**9\nfor i in range(n // 6 + 1):\n    for j in range(n // 8 + 1):\n        k = (n - 6 * i - 8 * j) // 12\n        ans = min(ans, s * i + m * j + l * k)\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nsix = s // 6\neight = m // 8\ntwelve = l // 12\n\nans = 10**10\nfor i in range(n // 6 + 1):\n    for j in range(n // 8 + 1):\n        k = (n - i * 6 - j * 8) // 12\n        ans = min(ans, i * s + j * m + k * l)\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nsix = s // 6\neight = m // 8\ntwelve = l // 12\n\nans = 10**9\nfor i in range(n // 6 + 1):\n    for j in range(n // 8 + 1):\n        k = (n - i * 6 - j * 8) // 12\n        if k >= 0:\n            ans = min(ans, i * s + j * m + k * l)\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nsix = s // 6\neight = m // 8\ntwelve = l // 12\n\nans = 10000000\nfor i in range(0, n // 6 + 1):\n    for j in range(0, n // 8 + 1):\n        k = (n - 6 * i - 8 * j) // 12\n        if 6 * i + 8 * j + 12 * k >= n:\n            ans = min(ans, s * i + m * j + l * k)\n\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nsix = s // 6\neight = m // 8\ntwelve = l // 12\n\nans = 0\n\nwhile n > 0:\n    if n >= 12 and twelve * 12 <= eight * 8 and twelve * 12 <= six * 6:\n        n -= 12\n        ans += l\n    elif n >= 8 and eight * 8 <= twelve * 12 and eight * 8 <= six * 6:\n        n -= 8\n        ans += m\n    elif n >= 6 and six * 6 <= twelve * 12 and six * 6 <= eight * 8:\n        n -= 6\n        ans += s\n\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nsix = s // 6\neight = m // 8\ntwelve = l // 12\n\nans = 10**10\nfor i in range(0, n // 6 + 1):\n    for j in range(0, n // 8 + 1):\n        k = (n - 6 * i - 8 * j) // 12\n        if k < 0:\n            continue\n        ans = min(ans, s * i + m * j + l * k)\n\nprint(ans)",
                "n, s, m, l = map(int, input().split())\r\n\r\nsix = s // 6\r\neight = m // 8\r\ntwelve = l // 12\r\n\r\nif six > eight and six > twelve:\r\n    s = 6 * six\r\nelif eight > six and eight > twelve:\r\n    s = 8 * eight\r\nelse:\r\n    s = 12 * twelve\r\n\r\nwhile s < n:\r\n    if six < eight and six < twelve:\r\n        s += 6 * six\r\n    elif eight < six and eight < twelve:\r\n        s += 8 * eight\r\n    else:\r\n        s += 12 * twelve\r\n\r\nprint(s * 6 // n * n)\r",
                "n, s, m, l = map(int, input().split())\n\nsix = s // 6\neight = m // 8\ntwelve = l // 12\n\nans = 0\n\nwhile n > 0:\n    if n >= 12 and twelve * 12 <= eight * 8 and twelve * 12 <= six * 6:\n        n -= 12\n        ans += l\n    elif n >= 8 and eight * 8 <= twelve * 12 and eight * 8 <= six * 6:\n        n -= 8\n        ans += m\n    else:\n        n -= 6\n        ans += s\n\nprint(ans)",
                "n, s, m, l = map(int, input().split())\n\nans = 10**5\nfor i in range(n // 6 + 1):\n    for j in range(n // 8 + 1):\n        k = (n - 6 * i - 8 * j) // 12\n        ans = min(ans, s * i + m * j + l * k)\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = [0] * n\nfor i in range(n - 1, -1, -1):\n    s[i] = s[i + 1] if i + 1 < n else 0\n    j = n - 1\n    while j >= 0 and a[j] >= a[i]:\n        s[i] += a[j]\n        j -= 1\nprint(*s)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = [0] * n\nfor i in range(n - 2, -1, -1):\n    s[i] = s[i + 1] + a[i + 1]\nprint(*s)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = [0] * n\nfor i in range(n - 2, -1, -1):\n    s[i] = s[i + 1] + a[i + 1]\nprint(*s)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = 0\nfor i in range(n - 1, -1, -1):\n    s += a[i + 1 : n]\n    print(s, end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nb = [0] * n\nfor i in range(n):\n    b[i] = sum(a[i + 1 :])\nprint(*b)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = 0\nfor i in range(n - 1, -1, -1):\n    s += a[i + 1 : n]\n    a[i] = s\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nb = [0] * n\nfor i in range(n - 1, -1, -1):\n    b[i] = sum(a[i + 1 :])\nprint(*b)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = [0] * n\nfor i in range(n - 1, -1, -1):\n    s[i] = sum(a[i + 1 :])\nprint(*s)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = [0] * n\nfor i in range(n - 1, -1, -1):\n    s[i] = sum(a[i + 1 :])\nprint(*s)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\ns = 0\nfor i in range(n - 1, -1, -1):\n    s += a[i + 1 : n] and a[i + 1]\n    print(s, end=\" \")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nP = [input() for _ in range(N)]\n\nblack = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        if P[i][j] == \"B\":\n            black[i][j] = 1\n\nfor i in range(N):\n    for j in range(N - 1):\n        black[i][j + 1] += black[i][j]\nfor i in range(N - 1):\n    for j in range(N):\n        black[i + 1][j] += black[i][j]\n\nfor _ in range(Q):\n    A, B, C, D = list(map(int, input().split()))\n    print(\n        black[C % N][D % N] - black[C % N][B % N] - black[A % N][D % N] + black[A % N][B % N]\n    )",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\nP = [list(input().rstrip()) for _ in range(N)]\n\nblack = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        if P[i][j] == \"B\":\n            black[i][j] = 1\n            if i > 0:\n                black[i][j] += black[i - 1][j]\n            if j > 0:\n                black[i][j] += black[i][j - 1]\n            if i > 0 and j > 0:\n                black[i][j] -= black[i - 1][j - 1]\n\nfor _ in range(Q):\n    A, B, C, D = map(int, input().split())\n    a, b = A % N, B % N\n    c, d = C % N, D % N\n    ans = 0\n    if a <= c:\n        ans += black[c][d] - black[c][b - 1] - black[a - 1][d] + black[a - 1][b - 1]\n    else:\n        ans += black[c][d] - black[a - 1][d] - black[c][b - 1] + black[a - 1][b - 1]\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nP = [list(input().rstrip()) for i in range(N)]\n\nblack = [[0] * N for i in range(N)]\nfor i in range(N):\n    for j in range(N):\n        if P[i][j] == \"B\":\n            black[i][j] = 1\n\nfor i in range(N):\n    for j in range(N - 1):\n        black[i][j + 1] += black[i][j]\nfor i in range(N - 1):\n    for j in range(N):\n        black[i + 1][j] += black[i][j]\n\nfor i in range(Q):\n    A, B, C, D = list(map(int, input().split()))\n    a = A % N\n    b = B % N\n    c = C % N\n    d = D % N\n\n    if a > c:\n        a, c = c, a\n        b, d = d, b\n\n    if a == c:\n        print(black[a][b] + black[a][d] - black[a][b] * 2)\n    else:\n        print(\n            black[c][b] - black[a][b]\n            + black[a][d]\n            - black[c][d]\n            + (c - a + 1) * (black[a][N - 1] - black[c][N - 1])\n        )",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\nP = [input().strip() for _ in range(N)]\n\nfor _ in range(Q):\n    A, B, C, D = map(int, input().split())\n    A, B, C, D = A % N, B % N, C % N, D % N\n    ans = 0\n    for i in range(A, C + 1):\n        ans += P[i].count(\"B\") * (D - B + 1)\n        if i <= A:\n            ans += (C - i + 1) * (P[i][:B].count(\"B\") - P[i][:A + 1].count(\"B\"))\n        elif i >= C:\n            ans += (i - A) * (P[i][:B].count(\"B\") - P[i][C:].count(\"B\"))\n        else:\n            ans += (i - A) * (P[i][:B].count(\"B\"))\n            ans += (C - i + 1) * (P[i][C:].count(\"B\"))\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\n\nP = [list(input().rstrip()) for _ in range(N)]\n\nfor i in range(N):\n    for j in range(N):\n        if P[i][j] == \"B\":\n            P[i][j] = 1\n        else:\n            P[i][j] = 0\n\nfor _ in range(Q):\n    A, B, C, D = map(int, input().split())\n\n    a = A % N\n    b = B % N\n    c = C % N\n    d = D % N\n\n    if a > c:\n        a, c = c, a\n        b, d = d, b\n\n    ans = 0\n\n    ans += (c - a + 1) * (P[a][b] + P[c][d])\n    for i in range(a + 1, c):\n        ans += P[i][b] + P[i][d]\n\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\nP = [input() for _ in range(N)]\n\ntable = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        table[i][j] = table[i - 1][j] + table[i][j - 1] - table[i - 1][j - 1]\n        if P[i][j] == \"B\":\n            table[i][j] += 1\n\nfor _ in range(Q):\n    A, B, C, D = map(int, input().split())\n    print(\n        table[C % N][D % N]\n        - table[C % N][B % N]\n        - table[A % N][D % N]\n        + table[A % N][B % N]\n    )",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nP = [input().rstrip() for _ in range(N)]\n\ntable = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        table[i][j] = table[i - 1][j] + (1 if P[i][j] == \"B\" else 0)\n\nfor _ in range(Q):\n    A, B, C, D = list(map(int, input().split()))\n    A, B, C, D = A % N, B % N, C % N, D % N\n    if A > C:\n        A, C = C, A\n    if B > D:\n        B, D = D, B\n    ans = 0\n    ans += table[C][D] - table[C][B - 1] - table[A - 1][D] + table[A - 1][B - 1]\n    for i in range(A, C + 1):\n        ans += table[i][D] - table[i][B - 1]\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\n\nP = []\nfor i in range(N):\n    P.append(input().strip())\n\nfor i in range(N):\n    for j in range(N):\n        if P[i][j] == \"B\":\n            P[i] = P[i][:j] + \"0\" + P[i][j + 1 :]\n        else:\n            P[i] = P[i][:j] + \"1\" + P[i][j + 1 :]\n\nfor i in range(Q):\n    A, B, C, D = list(map(int, input().split()))\n    A, B, C, D = A % N, B % N, C % N, D % N\n    if A > C:\n        A, C = C, A\n    if B > D:\n        B, D = D, B\n    ans = 0\n    for i in range(A, C + 1):\n        ans += int(P[i][B : D + 1].replace(\"1\", \"\"), 2)\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = list(map(int, input().split()))\nP = [list(input().rstrip()) for _ in range(N)]\n\ntable = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        if P[i][j] == \"B\":\n            table[i][j] = 1\n\nfor i in range(N):\n    for j in range(N - 1):\n        table[i][j + 1] += table[i][j]\n\nfor i in range(N - 1):\n    for j in range(N):\n        table[i + 1][j] += table[i][j]\n\nfor _ in range(Q):\n    A, B, C, D = list(map(int, input().split()))\n    print(\n        table[C % N][D % N]\n        - table[C % N][B % N]\n        - table[A % N][D % N]\n        + table[A % N][B % N]\n    )",
                "import sys\n\ninput = sys.stdin.readline\n\nN, Q = map(int, input().split())\nP = [input().rstrip() for _ in range(N)]\n\ntable = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        table[i][j] = table[i - 1][j] + table[i][j - 1] - table[i - 1][j - 1]\n        if P[i][j] == \"B\":\n            table[i][j] += 1\n            table[i][j] += table[i - 1][j]\n            table[i][j] += table[i][j - 1]\n            table[i][j] -= table[i - 1][j - 1]\n\nfor _ in range(Q):\n    A, B, C, D = map(int, input().split())\n    print(table[C % N][D % N] - table[A % N][D % N] - table[C % N][B % N] + table[A % N][B % N])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for _ in range(l)]\n\nfor c, d in cd:\n    c, d = c - 1, d - 1\n    b[d] = max(b[d], a[c] + b[d])\n\nprint(max(a + b))",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for _ in range(l)]\n\nfor i in range(l):\n    c, d = cd[i]\n    c -= 1\n    d -= 1\n    b[d] = -1000000000\n\nans = 0\nfor i in range(n):\n    for j in range(m):\n        if b[j] != -1000000000:\n            ans = max(ans, a[i] + b[j])\n\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = []\nfor i in range(l):\n    c, d = map(int, input().split())\n    cd.append((c, d))\nans = 0\nfor i in range(n):\n    for j in range(m):\n        if (i + 1, j + 1) not in cd:\n            ans = max(ans, a[i] + b[j])\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for _ in range(l)]\n\nfor i in range(l):\n    c, d = cd[i]\n    c -= 1\n    d -= 1\n    b[d] = -1000000000\n\nans = 0\nfor i in range(n):\n    for j in range(m):\n        if b[j] != -1000000000:\n            ans = max(ans, a[i] + b[j])\n\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for i in range(l)]\n\nfor i in range(l):\n    c, d = cd[i]\n    c, d = c - 1, d - 1\n    b[d] = min(b[d], float(\"inf\"))\n\nans = 0\nfor i in a:\n    for j in b:\n        ans = max(ans, i + j)\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for _ in range(l)]\n\nmax_price = 0\nfor i in range(n):\n    for j in range(m):\n        skip = False\n        for c, d in cd:\n            if c == i + 1 and d == j + 1:\n                skip = True\n                break\n        if not skip:\n            max_price = max(max_price, a[i] + b[j])\n\nprint(max_price)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = [0] * l\nd = [0] * l\nfor i in range(l):\n    c[i], d[i] = map(int, input().split())\nc -= 1\nd -= 1\na.sort(reverse=True)\nb.sort(reverse=True)\nans = 0\nfor i in range(n):\n    for j in range(m):\n        if not [i, j] in zip(c, d):\n            ans = max(ans, a[i] + b[j])\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for _ in range(l)]\n\nfor i in range(l):\n    c, d = cd[i]\n    c, d = c - 1, d - 1\n    b[d] = min(b[d], float(\"inf\"))\n\nans = 0\nfor i in a:\n    for j in b:\n        ans = max(ans, i + j)\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ncd = [list(map(int, input().split())) for _ in range(l)]\n\nfor i in range(l):\n    c, d = cd[i]\n    c -= 1\n    d -= 1\n    b[d] = -1000000000\n\nans = max(a[i] + max(b) for i in range(n))\nprint(ans)",
                "n, m, l = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = []\nfor i in range(l):\n    c.append(list(map(int, input().split())))\nans = 0\nfor i in range(n):\n    for j in range(m):\n        flag = 0\n        for k in range(l):\n            if c[k][0] == i + 1 and c[k][1] == j + 1:\n                flag = 1\n                break\n        if flag == 0:\n            ans = max(ans, a[i] + b[j])\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)",
                "n, s, k = map(int, input().split())\ntotal = 0\nfor i in range(n):\n    p, q = map(int, input().split())\n    total += p * q\nif total < s:\n    total += k\nprint(total)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "k, g, m = map(int, input().split())\n\nglass, mug = 0, 0\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    else:\n        if mug == 0:\n            mug = m\n        else:\n            glass += mug\n            mug = 0\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\n\nglass = 0\nmug = 0\n\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    elif mug == 0:\n        mug = m\n    else:\n        glass += m - mug\n        mug = 0\n\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\n\nglass, mug = 0, 0\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    else:\n        if mug == 0:\n            mug = m\n        else:\n            glass += mug\n            mug = 0\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\n\nfor i in range(k):\n    if g == m:\n        break\n    if g == 0:\n        g = m\n    else:\n        m -= g - g % m\n        g = g % m\nprint(g, m)",
                "k, g, m = map(int, input().split())\nglass, mug = 0, 0\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    elif mug == 0:\n        mug = m\n    else:\n        glass += m - mug\n        mug = 0\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\n\nglass, mug = 0, 0\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    elif mug == 0:\n        mug = m\n    else:\n        water = mug // g\n        mug -= water * g\n        glass += water * g\n\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\nglass, mug = 0, 0\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    elif mug == 0:\n        mug = m\n    else:\n        glass += m // g * g\n        mug %= g\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\n\nglass, mug = 0, 0\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    elif mug == 0:\n        mug = m\n    else:\n        glass += m - mug\n        mug = 0\nprint(glass, mug)",
                "k, g, m = map(int, input().split())\n\nfor i in range(k):\n    if g == m:\n        break\n    if g == 0:\n        g = m\n    else:\n        m -= g - g % m\n        g = g % m\n\nprint(g, m)",
                "k, g, m = map(int, input().split())\n\nglass = 0\nmug = 0\n\nfor i in range(k):\n    if glass == g:\n        glass = 0\n    else:\n        if mug == 0:\n            mug = m\n        else:\n            glass += m\n            mug -= m\n            if glass >= g:\n                glass = g\n\nprint(glass, mug)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\ns = input()\n\nneed = s.count(\"2\")\nif need <= m:\n    print(0)\nelse:\n    print(need - m)",
                "(n, m) = map(int, input().split())\ns = input()\n\nneed = s.count(\"1\") + s.count(\"2\")\nif m >= need:\n    print(0)\nelse:\n    print(need - m)",
                "n, m = map(int, input().split())\ns = input()\n\none = s.count(\"1\")\ntwo = s.count(\"2\")\n\nif one + two <= m:\n    print(0)\nelse:\n    print(one + two - m)",
                "n, m = map(int, input().split())\ns = input()\n\nans = 0\n\nfor i in range(n):\n    if s[i] == \"2\":\n        m -= 1\n        if m < 0:\n            ans += 1\n            m = 0\n    elif s[i] == \"1\":\n        if m == 0:\n            ans += 1\n            m = 1\n    elif m < 0:\n        ans += 1\n        m = 0\n\nprint(ans)",
                "n, m = map(int, input().split())\ns = input()\n\nneed = s.count(\"2\")\nhave = m\nbuy = 0\n\nfor i in range(n):\n    if s[i] == \"0\":\n        have = m + buy\n    elif s[i] == \"1\":\n        have -= 1\n        if have < 0:\n            buy += 1\n            have += 1\n    else:\n        have -= 1\n        if have < 0:\n            buy += 1\n            have += 1\n\nprint(buy)",
                "n, m = map(int, input().split())\ns = input()\n\nneed = s.count(\"2\")\nif need <= m:\n    print(0)\nelse:\n    print(need - m)",
                "(n, m) = map(int, input().split())\ns = input()\n\none = s.count(\"1\")\ntwo = s.count(\"2\")\n\nif one + two <= m:\n    print(0)\nelse:\n    print(one + two - m)",
                "n, m = map(int, input().split())\ns = input()\n\nneed = s.count(\"2\")\nif need <= m:\n    print(0)\nelse:\n    print(need - m)",
                "n, m = map(int, input().split())\ns = input()\n\nneed = s.count(\"1\") + s.count(\"2\")\n\nif need <= m:\n    print(0)\nelse:\n    print(need - m)",
                "n, m = map(int, input().split())\ns = input()\n\nneed = s.count(\"2\")\nif need > m:\n    print(need - m)\nelse:\n    print(0)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\nq = deque([(A, 0)])\nvisited = set()\n\nwhile q:\n    A, cnt = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n\n    if A == B:\n        print(cnt)\n        break\n\n    for i in range(H - 1):\n        A1 = A.copy()\n        A1[i], A1[i + 1] = A1[i + 1], A1[i]\n        q.append((A1, cnt + 1))\n\n    for j in range(W - 1):\n        A1 = A.copy()\n        for i in range(H):\n            A1[i][j], A1[i][j + 1] = A1[i][j + 1], A1[i][j]\n        q.append((A1, cnt + 1))\n\nelse:\n    print(-1)",
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\nq = deque([(A, 0)])\nvisited = set()\n\nwhile q:\n    A, cnt = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n\n    if A == B:\n        print(cnt)\n        break\n\n    for i in range(H - 1):\n        if A[i] > A[i + 1]:\n            A[i], A[i + 1] = A[i + 1], A[i]\n            q.append((A, cnt + 1))\n            A[i], A[i + 1] = A[i + 1], A[i]\n\n    for i in range(W - 1):\n        if A[0][i] > A[0][i + 1]:\n            for j in range(H):\n                A[j][i], A[j][i + 1] = A[j][i + 1], A[j][i]\n            q.append((A, cnt + 1))\n            for j in range(H):\n                A[j][i], A[j][i + 1] = A[j][i + 1], A[j][i]\nelse:\n    print(-1)",
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\nq = deque([(A, 0)])\nvisited = set()\n\nwhile q:\n    A, cnt = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n\n    if A == B:\n        print(cnt)\n        break\n\n    for i in range(H - 1):\n        A1 = A.copy()\n        A1[i], A1[i + 1] = A1[i + 1], A1[i]\n        q.append((A1, cnt + 1))\n\n    for i in range(W - 1):\n        A1 = A.copy()\n        for j in range(H):\n            A1[j][i], A1[j][i + 1] = A1[j][i + 1], A1[j][i]\n        q.append((A1, cnt + 1))\n\nelse:\n    print(-1)",
                "def get_input():\n    h, w = map(int, input().split())\n    a = []\n    for _ in range(h):\n        a.append(list(map(int, input().split())))\n    b = []\n    for _ in range(h):\n        b.append(list(map(int, input().split())))\n    return h, w, a, b\n\n\ndef check(a, b):\n    for i in range(len(a)):\n        for j in range(len(a[i])):\n            if a[i][j] != b[i][j]:\n                return False\n    return True\n\n\ndef get_cost(a, b):\n    cost = 0\n    for i in range(len(a)):\n        for j in range(len(a[i])):\n            if a[i][j] != b[i][j]:\n                cost += 1\n    return cost\n\n\ndef solve(h, w, a, b):\n    if check(a, b):\n        return 0\n\n    min_cost = float(\"inf\")\n    for i in range(h):\n        for j in range(w - 1):\n            temp = a.copy()\n            temp[i][j], temp[i][j + 1] = temp[i][j + 1], temp[i][j]\n            cost = get_cost(temp, b)\n            min_cost = min(min_cost, cost)\n\n    for i in range(w):\n        for j in range(h - 1):\n            temp = a.copy()\n            temp[j], temp[j + 1] = temp[j + 1], temp[j]\n            cost = get_cost(temp, b)\n            min_cost = min(min_cost, cost)\n\n    if min_cost == float(\"inf\"):\n        return -1\n    return min_cost\n\n\nh, w, a, b = get_input()\nprint(solve(h, w, a, b))",
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\nq = deque([(A, 0)])\nvisited = set()\n\nwhile q:\n    A, cnt = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n\n    if A == B:\n        print(cnt)\n        break\n\n    for i in range(H - 1):\n        if A[i] > A[i + 1]:\n            A[i], A[i + 1] = A[i + 1], A[i]\n            q.append((A, cnt + 1))\n            A[i], A[i + 1] = A[i + 1], A[i]\n\n    for i in range(W - 1):\n        for j in range(H):\n            if A[j][i] > A[j][i + 1]:\n                for k in range(H):\n                    A[k][i], A[k][i + 1] = A[k][i + 1], A[k][i]\n                q.append((A, cnt + 1))\n                for k in range(H):\n                    A[k][i], A[k][i + 1] = A[k][i + 1], A[k][i]\nelse:\n    print(-1)",
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\ndist = 0\nq = deque([(A, 0)])\nvisited = set()\nwhile q:\n    A, d = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n    if A == B:\n        dist = d\n        break\n    for i in range(H - 1):\n        if A[i] > A[i + 1]:\n            A[i], A[i + 1] = A[i + 1], A[i]\n            q.append((A, d + 1))\n            A[i], A[i + 1] = A[i + 1], A[i]\n    for i in range(W - 1):\n        if A[0][i] > A[0][i + 1]:\n            for j in range(H):\n                A[j][i], A[j][i + 1] = A[j][i + 1], A[j][i]\n            q.append((A, d + 1))\n            for j in range(H):\n                A[j][i], A[j][i + 1] = A[j][i + 1], A[j][i]\n\nif dist == 0:\n    dist = -1\nprint(dist)",
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\nq = deque([(A, 0)])\nvisited = set()\n\nwhile q:\n    A, cnt = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n\n    if A == B:\n        print(cnt)\n        break\n\n    for i in range(H - 1):\n        if A[i] > A[i + 1]:\n            A[i], A[i + 1] = A[i + 1], A[i]\n            q.append((A, cnt + 1))\n            A[i], A[i + 1] = A[i + 1], A[i]\n\n    for i in range(W - 1):\n        for j in range(H):\n            if A[j][i] > A[j][i + 1]:\n                for k in range(H):\n                    A[k][i], A[k][i + 1] = A[k][i + 1], A[k][i]\n                q.append((A, cnt + 1))\n                for k in range(H):\n                    A[k][i], A[k][i + 1] = A[k][i + 1], A[k][i]\nelse:\n    print(-1)",
                "def solve():\n    h, w = map(int, input().split())\n    a = [list(map(int, input().split())) for _ in range(h)]\n    b = [list(map(int, input().split())) for _ in range(h)]\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            for k in range(w):\n                if a[i][j] == b[i][k]:\n                    a[i][j], a[i][k] = a[i][k], a[i][j]\n                    ans += 1\n                    break\n    flag = True\n    for i in range(h):\n        for j in range(w):\n            if a[i][j] != b[i][j]:\n                flag = False\n                break\n        if not flag:\n            break\n    if not flag:\n        print(-1)\n    else:\n        print(ans)\n\n\nsolve()",
                "from collections import deque\n\nH, W = map(int, input().split())\nA = [list(map(int, input().split())) for _ in range(H)]\nB = [list(map(int, input().split())) for _ in range(H)]\n\nq = deque([(A, 0)])\nvisited = set()\n\nwhile q:\n    A, cnt = q.popleft()\n    if tuple(map(tuple, A)) in visited:\n        continue\n    visited.add(tuple(map(tuple, A)))\n\n    if A == B:\n        print(cnt)\n        break\n\n    for i in range(H - 1):\n        if A[i] > A[i + 1]:\n            A[i], A[i + 1] = A[i + 1], A[i]\n            q.append((A, cnt + 1))\n            A[i], A[i + 1] = A[i + 1], A[i]\n\n    for i in range(W - 1):\n        if A[0][i] > A[0][i + 1]:\n            for j in range(H):\n                A[j][i], A[j][i + 1] = A[j][i + 1], A[j][i]\n            q.append((A, cnt + 1))\n            for j in range(H):\n                A[j][i], A[j][i + 1] = A[j][i + 1], A[j][i]\n\nelse:\n    print(-1)",
                "def main():\n    (h, w) = map(int, input().split())\n    a = [list(map(int, input().split())) for _ in range(h)]\n    b = [list(map(int, input().split())) for _ in range(h)]\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            for k in range(w):\n                if a[i][j] == b[i][k]:\n                    (a[i][j], a[i][k]) = (a[i][k], a[i][j])\n                    ans += 1\n                    break\n    if sorted(a[i]) == sorted(b[i]) for i in range(h):\n        print(ans)\n    else:\n        print(-1)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))\r",
                "n = int(input())\r\nprint(n * str(n))\r",
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))",
                "n = int(input())\r\nprint(n * str(n))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nt = input()\n\nif s[0] == t[0] or s[0] == t[1] or s[1] == t[0] or s[1] == t[1]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif (s1, s2) == (t1, t2) or (s1, s2) == (t2, t1):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif s1 == t1 and s2 == t2 or s1 == t2 and s2 == t1:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif (s1, s2) == (t1, t2) or (s1, s2) == (t2, t1):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif (s1 == t1 and s2 == t2) or (s1 == t2 and s2 == t1):\n    print(\"Yes\")\nelif (\n    (s1 == \"A\" and s2 == \"C\" and t1 == \"E\" and t2 == \"C\")\n    or (s1 == \"C\" and s2 == \"A\" and t1 == \"C\" and t2 == \"E\")\n    or (s1 == \"A\" and s2 == \"E\" and t1 == \"C\" and t2 == \"A\")\n    or (s1 == \"E\" and s2 == \"A\" and t1 == \"A\" and t2 == \"C\")\n    or (s1 == \"B\" and s2 == \"D\" and t1 == \"B\" and t2 == \"D\")\n    or (s1 == \"D\" and s2 == \"B\" and t1 == \"D\" and t2 == \"B\")\n):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif (s1 == t1 and s2 == t2) or (s1 == t2 and s2 == t1):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nt = input()\n\nif s[0] == t[0] or s[0] == t[1] or s[1] == t[0] or s[1] == t[1]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif (s1, s2) == (t1, t2) or (s1, s2) == (t2, t1):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif s1 == t1 and s2 == t2 or s1 == t2 and s2 == t1:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s1, s2 = input().split()\nt1, t2 = input().split()\n\nif s1 + s2 == \"AB\" or s1 + s2 == \"BC\" or s1 + s2 == \"CD\" or s1 + s2 == \"DE\" or s1 + s2 == \"EA\":\n    s_dist = 1\nelif s1 + s2 == \"AC\" or s1 + s2 == \"CE\" or s1 + s2 == \"EB\" or s1 + s2 == \"BD\" or s1 + s2 == \"DA\":\n    s_dist = 2\nelse:\n    s_dist = 3\n\nif t1 + t2 == \"AB\" or t1 + t2 == \"BC\" or t1 + t2 == \"CD\" or t1 + t2 == \"DE\" or t1 + t2 == \"EA\":\n    t_dist = 1\nelif t1 + t2 == \"AC\" or t1 + t2 == \"CE\" or t1 + t2 == \"EB\" or t1 + t2 == \"BD\" or t1 + t2 == \"DA\":\n    t_dist = 2\nelse:\n    t_dist = 3\n\nif s_dist == t_dist:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\n\nrepunits = [1, 11, 111]\nsums = []\n\nfor i in range(3):\n    for j in range(3):\n        for k in range(3):\n            sums.append(repunits[i] + repunits[j] + repunits[k])\n\nprint(sums[n - 1])",
                "n = int(input())\n\nrep = [1, 11, 111]\n\nsums = []\nfor i in rep:\n    for j in rep:\n        for k in rep:\n            sums.append(i + j + k)\n\nprint(sums[n - 1])",
                "",
                "n = int(input())\n\nrepunits = [1, 11, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111, 111111111111]\n\nsums = []\nfor i in range(len(repunits)):\n    for j in range(i, len(repunits)):\n        for k in range(j, len(repunits)):\n            sums.append(repunits[i] + repunits[j] + repunits[k])\n\nprint(sums[n - 1])",
                "n = int(input())\n\nrep = [1, 11, 111]\n\nans = []\nfor i in range(len(rep)):\n    for j in range(len(rep)):\n        for k in range(len(rep)):\n            ans.append(rep[i] + rep[j] + rep[k])\n\nprint(ans[n - 1])",
                "n = int(input())\n\nrepunits = [1, 11, 111]\nsums = []\n\nfor i in range(3):\n    for j in range(i, 3):\n        for k in range(j, 3):\n            sums.append(repunits[i] + repunits[j] + repunits[k])\n\nprint(sums[n - 1])",
                "n = int(input())\n\nrep = [1, 11, 111]\n\nsums = []\n\nfor i in rep:\n    for j in rep:\n        for k in rep:\n            sums.append(i + j + k)\n\nprint(sums[n - 1])",
                "n = int(input())\n\nrepunits = [1, 11, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111]\n\nsums = []\nfor i in range(len(repunits)):\n    for j in range(i, len(repunits)):\n        for k in range(j, len(repunits)):\n            sums.append(repunits[i] + repunits[j] + repunits[k])\n\nprint(sums[n - 1])",
                "n = int(input())\n\nrep = [1, 11, 111]\n\nres = []\nfor i in range(len(rep)):\n    for j in range(len(rep)):\n        for k in range(len(rep)):\n            res.append(rep[i] + rep[j] + rep[k])\n\nprint(res[n - 1])",
                "n = int(input())\n\nrepunits = [1, 11, 111]\nsums = []\n\nfor i in range(3):\n    for j in range(3):\n        for k in range(3):\n            sums.append(repunits[i] + repunits[j] + repunits[k])\n\nprint(sums[n - 1])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([(0, 0)])\ndist = [-1] * n\ndist[0] = 0\nwhile q:\n    node, depth = q.popleft()\n    for next_node in graph[node]:\n        if dist[next_node] == -1:\n            dist[next_node] = depth + 1\n            q.append((next_node, depth + 1))\n\nprint(sum(1 for d in dist if d % 2 == 1))",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([1])\ndist = [-1] * (n + 1)\ndist[1] = 0\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nprint(dist[2])",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([1])\ndist = [-1] * (n + 1)\ndist[1] = 0\nwhile q:\n    v = q.popleft()\n    for nv in graph[v]:\n        if dist[nv] == -1:\n            dist[nv] = dist[v] + 1\n            q.append(nv)\n\nprint(dist[1])",
                "from collections import defaultdict\n\nn = int(input())\n\ntree = defaultdict(list)\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    tree[u].append(v)\n    tree[v].append(u)\n\nq = [(1, 0)]\nwhile q:\n    v, d = q.pop()\n    for u in tree[v]:\n        tree[u].remove(v)\n        q.append((u, d + 1))\n\nprint(max(tree[1]))",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([1])\nvisited = [False] * (n + 1)\nvisited[1] = True\n\nwhile q:\n    node = q.popleft()\n    for adj in graph[node]:\n        if not visited[adj]:\n            visited[adj] = True\n            q.append(adj)\n\nleaves = [i for i in range(2, n + 1) if len(graph[i]) == 1]\n\nans = 0\nwhile leaves:\n    leaf = leaves.pop()\n    node = graph[leaf][0]\n    if visited[node]:\n        visited[leaf] = False\n        leaves.append(leaf)\n    else:\n        ans += 1\n        visited[node] = False\n\nprint(ans)",
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([(0, 0)])\ndist = [0] * n\nwhile q:\n    u, d = q.popleft()\n    for v in graph[u]:\n        if dist[v] == 0:\n            dist[v] = d + 1\n            q.append((v, d + 1))\nprint(dist[0])",
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([(0, 0)])\nvisited = [0] * n\nwhile q:\n    node, depth = q.popleft()\n    visited[node] = 1\n    for next_node in graph[node]:\n        if visited[next_node] == 0:\n            visited[next_node] = 1\n            q.append((next_node, depth + 1))\n\nprint(visited.count(0) - 1)",
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([(0, 0)])\ndist = [0] * n\nwhile q:\n    u, d = q.popleft()\n    for v in graph[u]:\n        if dist[v] == 0:\n            dist[v] = d + 1\n            q.append((v, d + 1))\n\nprint(dist[0])",
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([1])\ndist = [-1] * (n + 1)\ndist[1] = 0\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] == -1:\n            dist[u] = dist[v] + 1\n            q.append(u)\n\nprint(sum(1 for v in range(2, n + 1) if dist[v] > dist[1]) - 1)",
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(n - 1):\n    u, v = map(int, input().split())\n    graph[u].append(v)\n    graph[v].append(u)\n\nq = deque([1])\ndist = [0] * (n + 1)\nwhile q:\n    v = q.popleft()\n    for u in graph[v]:\n        if dist[u] == 0:\n            dist[u] = dist[v] + 1\n            q.append(u)\n\nprint(sum(1 for d in dist if d % 2 == 0))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nn = int(input())\nevents = [list(map(int, input().split())) for _ in range(n)]\n\npotions = [0] * (n + 1)\nactions = [0] * n\n\nfor i in range(n):\n    if events[i][0] == 1:\n        potions[events[i][1]] += 1\n        actions[i] = 1\n    else:\n        potions[events[i][1]] -= 1\n\nfor i in range(n):\n    if potions[events[i][1]] < 0:\n        print(-1)\n        exit()\n\nfor i in range(n):\n    if events[i][0] == 1:\n        if potions[events[i][1]] == 1:\n            actions[i] = 0\n\nprint(max(potions))\nprint(*actions)",
                "from collections import deque\n\nN = int(input())\n\nevents = []\nfor _ in range(N):\n    t, x = map(int, input().split())\n    events.append((t, x))\n\npotions = [0] * (N + 1)\nactions = [0] * N\n\nfor i, (t, x) in enumerate(events):\n    if t == 1:\n        potions[x] += 1\n        actions[i] = 1\n    else:\n        potions[x] -= 1\n        if potions[x] < 0:\n            print(-1)\n            exit()\n\nK = max(potions)\n\nprint(K)\nprint(*actions)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nt = [list(map(int, input().split())) for i in range(n)]\np = [0] * (n + 1)\nans = []\nfor i in range(n):\n    if t[i][0] == 1:\n        p[t[i][1]] = 1\n        ans.append(1)\n    else:\n        if p[t[i][1]] == 0:\n            print(-1)\n            exit()\n        p[t[i][1]] -= 1\n        ans.append(0)\nk = max(p)\nprint(k)\nprint(*ans)",
                "from collections import deque\n\nn = int(input())\nevents = [list(map(int, input().split())) for _ in range(n)]\n\npotions = set()\nactions = deque()\nmin_k = 0\n\nfor t, x in events:\n    if t == 1:\n        if x not in potions:\n            potions.add(x)\n            actions.append(1)\n            min_k += 1\n        else:\n            actions.append(0)\n    else:\n        if x not in potions:\n            print(-1)\n            exit()\n        else:\n            potions.remove(x)\n\nprint(min_k)\nprint(*actions)",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nevents = [tuple(map(int, input().split())) for _ in range(N)]\n\npotions = set()\nactions = []\n\nfor t, x in events:\n    if t == 1:\n        potions.add(x)\n        actions.append(1)\n    elif x not in potions:\n        print(-1)\n        sys.exit()\n    else:\n        potions.remove(x)\n        actions.append(0)\n\nprint(len(potions))\nprint(\" \".join(map(str, actions)))",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nevents = [tuple(map(int, input().split())) for _ in range(N)]\n\npotions = [0] * (N + 1)\n\nfor t, x in events:\n    if t == 1:\n        potions[x] += 1\n    else:\n        potions[x] -= 1\n\nfor i in range(N + 1):\n    if potions[i] < 0:\n        print(-1)\n        sys.exit()\n\nK = max(potions)\n\nans = []\n\nfor t, x in events:\n    if t == 1:\n        if potions[x] == K:\n            ans.append(1)\n        else:\n            ans.append(0)\n    else:\n        potions[x] -= 1\n\nfor i in range(N + 1):\n    if potions[i] > 0:\n        K = max(K, potions[i])\n\nprint(K)\nprint(*ans)",
                "from collections import deque\n\nN = int(input())\nevents = [list(map(int, input().split())) for _ in range(N)]\n\npotions = set()\nactions = [0] * N\n\nfor i, (t, x) in enumerate(events):\n    if t == 1:\n        potions.add(x)\n        if len(potions) > len(actions):\n            actions[i] = 1\n    elif x not in potions:\n        print(-1)\n        exit()\n    else:\n        potions.remove(x)\n\nprint(len(actions) - actions.count(0))\nprint(*actions)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nt = [list(map(int, input().split())) for i in range(n)]\n\np = [0] * (n + 1)\n\nfor i in range(n - 1, -1, -1):\n    if t[i][0] == 1:\n        p[t[i][1]] = 1\n\nfor i in range(n):\n    if t[i][0] == 2:\n        if p[t[i][1]] == 0:\n            print(-1)\n            exit()\n        p[t[i][1]] -= 1\n\nans = []\nfor i in range(n):\n    if t[i][0] == 1:\n        ans.append(1)\n        if p[t[i][1]] == 1:\n            ans.append(0)\n        else:\n            ans.append(1)\n    else:\n        ans.append(0)\n        if p[t[i][1]] == 1:\n            ans.append(1)\n        else:\n            ans.append(0)\n    p[t[i][1]] += t[i][0] - 1\n\nprint(max(p))\nprint(*ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nTX = [list(map(int, input().split())) for i in range(N)]\n\nmonster = [[] for i in range(N + 1)]\npotion = [[] for i in range(N + 1)]\n\nfor t, x in TX:\n    if t == 1:\n        potion[x].append(len(TX))\n    else:\n        monster[x].append(len(TX))\n\nfor i in range(N + 1):\n    potion[i].append(10**9)\n    potion[i].append(-1)\n    monster[i].append(10**9)\n    monster[i].append(-1)\n\nfor i in range(N + 1):\n    potion[i].sort()\n    monster[i].sort()\n\ndp = [[10**9] * 5 for i in range(N + 1)]\ndp[0][0] = 0\n\nfor i in range(N):\n    t, x = TX[i]\n    if t == 1:\n        for j in range(4, -1, -1):\n            if dp[x][j] != 10**9:\n                dp[x][j + 1] = min(dp[x][j + 1], dp[x][j])\n                dp[x][j] = 10**9\n    else:\n        for j in range(4, -1, -1):\n            if dp[x][j] != 10**9 and potion[x][0] <= monster[x][j]:\n                dp[x][j - 1] = min(dp[x][j - 1], dp[x][j] + 1)\n                dp[x][j] = 10**9\n                potion[x].pop(0)\n\nans = 10**9\nidx = -1\nfor i in range(N + 1):\n    if dp[i][0] != 10**9 and dp[i][0] < ans:\n        ans = dp[i][0]\n        idx = i\n\nif idx == -1:\n    print(-1)\nelse:\n    print(ans)\n    for i in range(N):\n        t, x = TX[i]\n        if t == 1 and dp[idx][0] == dp[x][1]:\n            print(1, end=\" \")\n        else:\n            print(0, end=\" \")\n    print()",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nTX = [list(map(int, input().split())) for _ in range(N)]\n\nfrom collections import deque\n\ndq = deque()\n\nfor t, x in TX:\n    if t == 1:\n        dq.append(x)\n    else:\n        if not dq or dq[-1] != x:\n            print(-1)\n            exit()\n        dq.pop()\n\nprint(len(dq))\n\nans = [0] * N\nfor i, (t, x) in enumerate(TX):\n    if t == 1:\n        if x in dq:\n            ans[i] = 1\nprint(*ans, sep=\"\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")",
                "b, g = map(int, input().split())\nif b > g:\n    print(\"Bat\")\nelse:\n    print(\"Glove\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, m, l, r = map(int, input().split())\n\nif l <= a <= r:\n    l = (a - l) // m + 1\nelse:\n    l = (a - l) // m\n\nif l <= a - m <= r:\n    l += 1\n\nif a <= r <= a + m:\n    r = (r - a) // m + 1\nelse:\n    r = (r - a) // m\n\nprint(r - l + 1)",
                "a, m, l, r = map(int, input().split())\nif l > r:\n    print(0)\nelse:\n    print((r - l) // m + 1)",
                "a, m, l, r = map(int, input().split())\n\nif l > r:\n    print(0)\nelse:\n    if l == r:\n        if (l - a) % m == 0:\n            print(1)\n        else:\n            print(0)\n    else:\n        print((r - l) // m + 1)",
                "a, m, l, r = map(int, input().split())\nif l > r:\n    l, r = r, l\nif a > r or l > a + m:\n    print(0)\nelse:\n    print((r - l) // m + 1)",
                "a, m, l, r = map(int, input().split())\nif l <= a <= r:\n    l = (a - l) // m + 1\nelse:\n    l = (a - l) // m\nif l <= r <= a:\n    r = (r - a) // m + 1\nelse:\n    r = (r - a) // m\nprint(r - l + 1)",
                "a, m, l, r = map(int, input().split())\nif l > r:\n    print(0)\nelse:\n    print((r - l) // m + 1)",
                "a, m, l, r = map(int, input().split())\nif l > r:\n    exit(print(0))\nif a > l:\n    l = (l - a) // m * m + a\nif a < l:\n    l = (l - a) // m * m + m + a\nif a > r:\n    r = (r - a) // m * m + a\nif a < r:\n    r = (r - a) // m * m + m + a\nprint((r - l) // m + 1)",
                "a, m, l, r = map(int, input().split())\nif l > r:\n    l, r = r, l\nif a > r:\n    print(0)\nelif a + m * (r - a) // m > l:\n    print((r - l) // m + 1)\nelse:\n    print((r - a) // m - (a - l) // m)",
                "a, m, l, r = map(int, input().split())\nif l > r:\n    print(0)\nelse:\n    print((r - l) // m + 1)",
                "a, m, l, r = map(int, input().split())\nif l == r:\n    if (l - a) % m == 0:\n        print(1)\n    else:\n        print(0)\nelse:\n    print((r - l) // m + 1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(k - 1):\n    ans += a[i + 1] - a[i] - 1\nprint(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nif k % 2 == 0:\n    ans = 0\n    for i in range(k // 2):\n        ans += abs(a[i] - a[k - i - 1])\nelse:\n    ans = abs(a[k // 2] - a[k // 2 + 1])\n\nprint(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nif k % 2 == 1:\n    print(sum(a[i] - a[i - 1] for i in range(1, k, 2)) + sum(a[i] - a[i + 1] for i in range(k - 1, 0, -2)))\nelse:\n    print(sum(a[i] - a[i - 1] for i in range(1, k, 2)) + sum(a[i] - a[i + 1] for i in range(k - 1, 1, -2)))",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nif k % 2 == 1:\n    print((n - k) + sum(a[i] - a[i - 1] - 1 for i in range(1, k, 2)))\nelse:\n    print(sum(a[i] - a[i - 1] - 1 for i in range(1, k, 2)))",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\ns = 0\nfor i in range(k - 1):\n    s += a[i + 1] - a[i] - 1\nprint(s)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nif k % 2 == 1:\n    print(sum(a[i] - a[i - 1] for i in range(1, k, 2)) + (n - k) % 2)\nelse:\n    print(sum(a[i] - a[i - 1] for i in range(1, k, 2)))",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(k - 1):\n    ans += a[i + 1] - a[i] - 1\nprint(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(k - 1):\n    ans += a[i + 1] - a[i] - 1\nprint(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\n\nif n - k <= 1:\n    print(0)\nelse:\n    ans = 0\n    for i in range(k):\n        if a[i] != i + 1:\n            ans += 1\n    print(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(k - 1):\n    ans += a[i + 1] - a[i] - 1\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nr = list(map(int, input().split()))\nr.sort()\nfor _ in range(q):\n    x = int(input())\n    ans = 0\n    for i in range(n):\n        if x >= r[i]:\n            ans += 1\n            x -= r[i]\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left as bl\n\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\nfor _ in range(Q):\n    X = int(input())\n    ans = bl(R, X)\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\n\nans = []\nfor _ in range(Q):\n    X = int(input())\n    idx = bisect_right(R, X)\n    ans.append(idx)\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left\n\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\n\nans = [0] * Q\nfor i in range(Q):\n    X = int(input())\n    idx = bisect_left(R, X // N)\n    ans[i] = min(N, (X - (idx) * R[idx]) // R[idx]) + idx\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left as bl\n\n(n, q) = map(int, input().split())\nr = list(map(int, input().split()))\nr.sort()\nfor _ in range(q):\n    x = int(input())\n    print(bl(r, x))",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left, bisect_right\n\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\n\nans = []\nfor _ in range(Q):\n    X = int(input())\n    if X == 0:\n        ans.append(0)\n        continue\n    idx = bisect_right(R, X)\n    ans.append(idx)\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left\n\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\n\nans = [0] * Q\nfor i in range(Q):\n    X = int(input())\n    idx = bisect_left(R, X // N)\n    ans[i] = min(N, (X - (idx * R[idx])) // R[idx] + idx)\n\nprint(*ans, sep=\"\\n\")",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\nfor _ in range(Q):\n    X = int(input())\n    ans = 0\n    for r in R:\n        if X >= r:\n            ans += 1\n            X -= r\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\nfor _ in range(Q):\n    X = int(input())\n    ans = 0\n    for r in R:\n        if X >= r:\n            ans += 1\n            X -= r\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom bisect import bisect_left\n\n(N, Q) = map(int, input().split())\nR = list(map(int, input().split()))\nR.sort()\n\nans = [0] * Q\nfor i in range(Q):\n    X = int(input())\n    ans[i] = bisect_left(R, X // N)\n    if X % N != 0:\n        ans[i] += 1\n\nprint(*ans, sep=\"\\n\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nmod = 998244353\n\n\ndef main():\n    h, w = map(int, input().split())\n    grid = [input() for _ in range(h)]\n    red = []\n    for i in range(h):\n        for j in range(w):\n            if grid[i][j] == \".\":\n                red.append((i, j))\n    cnt = 0\n    for i, j in red:\n        if i > 0 and grid[i - 1][j] == \"#\":\n            cnt += 1\n        if i < h - 1 and grid[i + 1][j] == \"#\":\n            cnt += 1\n        if j > 0 and grid[i][j - 1] == \"#\":\n            cnt += 1\n        if j < w - 1 and grid[i][j + 1] == \"#\":\n            cnt += 1\n    ans = 0\n    for i, j in red:\n        cnt -= 1\n        if i > 0 and grid[i - 1][j] == \"#\":\n            cnt += 1\n        if i < h - 1 and grid[i + 1][j] == \"#\":\n            cnt += 1\n        if j > 0 and grid[i][j - 1] == \"#\":\n            cnt += 1\n        if j < w - 1 and grid[i][j + 1] == \"#\":\n            cnt += 1\n        ans += cnt\n    ans %= mod\n    print(ans)\n\n\nmain()",
                "from collections import deque\n\nmod = 998244353\ninf = 10**10\n\nh, w = map(int, input().split())\ngrid = [input() for _ in range(h)]\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\n\ndef bfs(x, y):\n    q = deque([(x, y)])\n    cnt = 0\n    visited = [[False] * w for _ in range(h)]\n    visited[x][y] = True\n    while q:\n        x, y = q.popleft()\n        cnt += 1\n        for i in range(4):\n            nx, ny = x + dx[i], y + dy[i]\n            if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \"#\":\n                visited[nx][ny] = True\n                q.append((nx, ny))\n    return cnt\n\n\nans = 0\ncnt = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            cnt += 1\n            ans = (ans + bfs(i, j)) % mod\n\nprint((ans * cnt % mod + cnt) % mod)",
                "from collections import deque\n\nmod = 998244353\n\n\ndef main():\n    h, w = map(int, input().split())\n    grid = [input() for _ in range(h)]\n    red = []\n    for i in range(h):\n        for j in range(w):\n            if grid[i][j] == \".\":\n                red.append((i, j))\n    cnt = 0\n    for i, j in red:\n        cnt += dfs(i, j, grid)\n    print(cnt * pow(h * w, mod - 2, mod) % mod)\n\n\ndef dfs(i, j, grid):\n    h, w = len(grid), len(grid[0])\n    grid[i][j] = \"#\"\n    cnt = 1\n    dq = deque([(i, j)])\n    while dq:\n        y, x = dq.popleft()\n        for dy, dx in ((-1, 0), (1, 0), (0, -1), (0, 1)):\n            ny, nx = y + dy, x + dx\n            if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] == \".\":\n                grid[ny][nx] = \"#\"\n                cnt += 1\n                dq.append((ny, nx))\n    return cnt\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n\nH, W = map(int, input().split())\nS = [input().rstrip() for _ in range(H)]\n\nmod = 998244353\n\ndx = [0, 1, 0, -1]\ndy = [1, 0, -1, 0]\n\ndef bfs(x, y):\n    q = [(x, y)]\n    cnt = 0\n    while q:\n        x, y = q.pop()\n        if S[x][y] == \"#\":\n            S[x] = S[x][:y] + \".\" + S[x][y + 1:]\n            for i in range(4):\n                nx, ny = x + dx[i], y + dy[i]\n                if 0 <= nx < H and 0 <= ny < W and S[nx][ny] == \"#\":\n                    q.append((nx, ny))\n            cnt += 1\n    return cnt\n\nans = 0\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \".\":\n            ans += bfs(i, j)\n\nprint((pow(H * W, mod - 2, mod) * ans) % mod)",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\n\ndef main():\n    h, w = list(map(int, input().split()))\n    s = [input().rstrip() for _ in range(h)]\n    cnt = 0\n    for i in range(h):\n        for j in range(w):\n            if s[i][j] == \"#\":\n                cnt += 1\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            if s[i][j] == \".\":\n                cnt += 1\n                if i > 0 and s[i - 1][j] == \"#\":\n                    cnt -= 1\n                if j > 0 and s[i][j - 1] == \"#\":\n                    cnt -= 1\n                if i < h - 1 and s[i + 1][j] == \"#\":\n                    cnt -= 1\n                if j < w - 1 and s[i][j + 1] == \"#\":\n                    cnt -= 1\n                ans += cnt\n                ans %= mod\n    ans *= pow(cnt, mod - 2, mod)\n    ans %= mod\n    print(ans)\n\n\nmain()",
                "from collections import deque\n\nmod = 998244353\n\n\ndef main():\n    h, w = map(int, input().split())\n    grid = [input() for _ in range(h)]\n    cnt = 0\n    for i in range(h):\n        for j in range(w):\n            if grid[i][j] == \".\":\n                cnt += 1\n    if cnt == 0:\n        print(0)\n        return\n    cnt = cnt * (h * w - cnt) // (h * w)\n    cnt %= mod\n    for i in range(h):\n        for j in range(w):\n            if grid[i][j] == \".\":\n                continue\n            cnt += dfs(grid, i, j)\n            cnt %= mod\n    print(cnt)\n\n\ndef dfs(grid, i, j):\n    h, w = len(grid), len(grid[0])\n    cnt = 1\n    dq = deque([(i, j)])\n    grid[i] = grid[i][:j] + \".\" + grid[i][j + 1 :]\n    while dq:\n        y, x = dq.popleft()\n        for dy, dx in [(1, 0), (-1, 0), (0, 1), (0, -1)]:\n            ny, nx = y + dy, x + dx\n            if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] == \"#\":\n                cnt += 1\n                dq.append((ny, nx))\n                grid[ny] = grid[ny][:nx] + \".\" + grid[ny][nx + 1 :]\n    return cnt\n\n\nmain()",
                "from collections import deque\n\nmod = 998244353\nH, W = map(int, input().split())\ngrid = [input() for _ in range(H)]\n\ndx = [0, 1, 0, -1]\ndy = [1, 0, -1, 0]\n\ndef bfs(x, y):\n    q = deque([(x, y)])\n    cnt = 0\n    while q:\n        x, y = q.popleft()\n        for i in range(4):\n            nx, ny = x + dx[i], y + dy[i]\n            if 0 <= nx < H and 0 <= ny < W and grid[nx][ny] == \".\":\n                q.append((nx, ny))\n                grid[nx][ny] = \"#\"\n        else:\n            cnt += 1\n    return cnt\n\nans = 0\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \".\":\n            cnt = bfs(i, j)\n            ans += cnt * (cnt + 1) // 2\n            ans %= mod\n\nprint((ans * (H * W) % mod * pow(H * W - 1, mod - 2, mod)) % mod)",
                "from collections import deque\n\nmod = 998244353\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nup = [[0] * w for _ in range(h)]\ndown = [[0] * w for _ in range(h)]\nleft = [[0] * w for _ in range(h)]\nright = [[0] * w for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"#\":\n            if i > 0 and grid[i - 1][j] == \"#\":\n                up[i][j] = 1\n                down[i - 1][j] = 1\n            if j > 0 and grid[i][j - 1] == \"#\":\n                left[i][j] = 1\n                right[i][j - 1] = 1\nans = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            cnt = 1\n            q = deque([(i, j)])\n            while q:\n                (x, y) = q.popleft()\n                if up[x][y] == 0:\n                    up[x][y] = 1\n                    down[x - 1][y] = 1\n                    cnt += down[x - 1][y] - up[x - 1][y]\n                    q.append((x - 1, y))\n                if left[x][y] == 0:\n                    left[x][y] = 1\n                    right[x][y - 1] = 1\n                    cnt += right[x][y - 1] - left[x][y - 1]\n                    q.append((x, y - 1))\n            ans += cnt\nprint((ans * (h * w - 1) % mod * pow(h * w, mod - 2, mod)) % mod)",
                "import sys\n\ninput = sys.stdin.readline\n\nmod = 998244353\n\nh, w = map(int, input().split())\ns = [input().rstrip() for _ in range(h)]\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\nup = [[0] * (w + 2) for _ in range(h + 2)]\ndown = [[0] * (w + 2) for _ in range(h + 2)]\nleft = [[0] * (w + 2) for _ in range(h + 2)]\nright = [[0] * (w + 2) for _ in range(h + 2)]\n\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"#\":\n            up[i][j + 1] = 1\n            down[i + 1][j + 1] = 1\n            left[i + 1][j] = 1\n            right[i + 1][j + 1] = 1\n\nfor i in range(h + 1):\n    for j in range(w + 1):\n        for k in range(4):\n            nx, ny = i + dx[k], j + dy[k]\n            if 0 <= nx < h + 1 and 0 <= ny < w + 1:\n                up[nx][ny] += up[i][j]\n                down[nx][ny] += down[i][j]\n                left[nx][ny] += left[i][j]\n                right[nx][ny] += right[i][j]\n\nans = 0\n\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \".\":\n            ans += (\n                up[i][j + 1] * down[i + 1][j + 1]\n                + left[i + 1][j] * right[i + 1][j + 1]\n            )\n            ans %= mod\n\nprint(ans * pow(h * w, mod - 2, mod) % mod)",
                "from collections import deque\n\nmod = 998244353\n\n\ndef main():\n    h, w = map(int, input().split())\n    grid = [input() for _ in range(h)]\n    red = []\n    for i in range(h):\n        for j in range(w):\n            if grid[i][j] == \".\":\n                red.append((i, j))\n    cnt = 0\n    for i, j in red:\n        if i > 0 and grid[i - 1][j] == \"#\":\n            cnt += 1\n        if j > 0 and grid[i][j - 1] == \"#\":\n            cnt += 1\n    ans = 0\n    for i, j in red:\n        cnt_i = 0\n        cnt_j = 0\n        if i > 0 and grid[i - 1][j] == \"#\":\n            cnt_i += 1\n        if j > 0 and grid[i][j - 1] == \"#\":\n            cnt_j += 1\n        if i < h - 1 and grid[i + 1][j] == \"#\":\n            cnt_i += 1\n        if j < w - 1 and grid[i][j + 1] == \"#\":\n            cnt_j += 1\n        if cnt_i == 0 or cnt_j == 0:\n            ans += 1\n        else:\n            ans += 2\n    ans = (ans * len(red) - cnt) % mod\n    print(ans)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")",
                "s = input()\nprint(s[:-4] + \"2024\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nfor i in range(n + 1):\r\n    for j in range(n - i + 1):\r\n        for k in range(n - i - j + 1):\r\n            print(i, j, k)\r",
                "n = int(input())\r\nfor x in range(n + 1):\r\n    for y in range(n - x + 1):\r\n        for z in range(n - x - y + 1):\r\n            print(x, y, z)\r",
                "n = int(input())\r\nfor x in range(n + 1):\r\n    for y in range(n - x + 1):\r\n        for z in range(n - x - y + 1):\r\n            print(x, y, z)\r",
                "n = int(input())\r\nfor i in range(n + 1):\r\n    for j in range(n - i + 1):\r\n        for k in range(n - i - j + 1):\r\n            print(i, j, k)\r",
                "n = int(input())\r\nfor i in range(n + 1):\r\n    for j in range(n - i + 1):\r\n        for k in range(n - i - j + 1):\r\n            print(i, j, k)\r",
                "n = int(input())\r\nfor x in range(n + 1):\r\n    for y in range(n - x + 1):\r\n        for z in range(n - x - y + 1):\r\n            print(x, y, z)\r",
                "n = int(input())\r\nfor i in range(n + 1):\r\n    for j in range(n - i + 1):\r\n        for k in range(n - i - j + 1):\r\n            print(i, j, k)\r",
                "n = int(input())\r\nfor i in range(n + 1):\r\n    for j in range(n - i + 1):\r\n        for k in range(n - i - j + 1):\r\n            print(i, j, k)\r",
                "n = int(input())\r\nfor i in range(n + 1):\r\n    for j in range(n - i + 1):\r\n        for k in range(n - i - j + 1):\r\n            print(i, j, k)\r",
                "n = int(input())\r\nfor x in range(n + 1):\r\n    for y in range(n - x + 1):\r\n        for z in range(n - x - y + 1):\r\n            print(x, y, z)\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\ndragon = [i] * N\ndragon_x = list(range(1, N + 1))\ndragon_y = [0] * N\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        if query[1] == \"R\":\n            dragon_x[0] += 1\n        elif query[1] == \"L\":\n            dragon_x[0] -= 1\n        elif query[1] == \"U\":\n            dragon_y[0] += 1\n        else:\n            dragon_y[0] -= 1\n        for i in range(1, N):\n            dragon_x[i] = dragon_x[i - 1]\n            dragon_y[i] = dragon_y[i - 1]\n    else:\n        idx = int(query[1]) - 1\n        print(dragon_x[idx], dragon_y[idx])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(1, N + 1)]\nY = [0] * N\ndx = [1, -1, 0, 0]\ndy = [0, 0, 1, -1]\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        Y[0] += dy[[\"L\", \"R\", \"U\", \"D\"].index(query[1])]\n        for i in range(N - 1):\n            X[i] = X[i + 1]\n            Y[i] = Y[i + 1]\n    else:\n        idx = int(query[1]) - 1\n        print(X[idx], Y[idx])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(N)]\nY = [0] * N\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        if query[1] == \"R\":\n            X.pop(0)\n            X.insert(0, X[0] + 1)\n        elif query[1] == \"L\":\n            X.pop(0)\n            X.insert(0, X[0] - 1)\n        elif query[1] == \"U\":\n            Y.pop(0)\n            Y.insert(0, Y[0] + 1)\n        else:\n            Y.pop(0)\n            Y.insert(0, Y[0] - 1)\n    else:\n        print(X[int(query[1]) - 1], Y[int(query[1]) - 1])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(N)]\nY = [0] * N\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        if query[1] == \"R\":\n            X.pop(0)\n            X.append(X[-1] + 1)\n        elif query[1] == \"L\":\n            X.pop(0)\n            X.insert(0, X[0] - 1)\n        elif query[1] == \"U\":\n            Y.pop(0)\n            Y.append(Y[-1] + 1)\n        else:\n            Y.pop(0)\n            Y.insert(0, Y[0] - 1)\n    else:\n        idx = int(query[1]) - 1\n        print(X[idx], Y[idx])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(1, N + 1)]\nY = [0] * N\ndx = {\"R\": 1, \"L\": -1, \"U\": 0, \"D\": 0}\ndy = {\"R\": 0, \"L\": 0, \"U\": 1, \"D\": -1}\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        X[0] += dx[query[1]]\n        Y[0] += dy[query[1]]\n        for i in range(N - 1):\n            X[i] = X[i + 1]\n            Y[i] = Y[i + 1]\n    else:\n        idx = int(query[1]) - 1\n        print(X[idx], Y[idx])",
                "from collections import deque\n\n(n, q) = map(int, input().split())\ndragon = deque([(i, 0) for i in range(1, n + 1)])\nfor _ in range(q):\n    query = input().split()\n    if query[0] == \"1\":\n        if query[1] == \"R\":\n            dragon.popleft()\n            dragon.append((dragon[-1][0] + 1, dragon[-1][1]))\n        elif query[1] == \"L\":\n            dragon.popleft()\n            dragon.appendleft((dragon[0][0] - 1, dragon[0][1]))\n        elif query[1] == \"U\":\n            dragon.popleft()\n            dragon.append((dragon[-1][0], dragon[-1][1] + 1))\n        else:\n            dragon.popleft()\n            dragon.append((dragon[-1][0], dragon[-1][1] - 1))\n    else:\n        p = int(query[1])\n        if p > len(dragon):\n            print(dragon[0][0], dragon[0][1])\n        else:\n            print(dragon[p - 1][0], dragon[p - 1][1])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(1, N + 1)]\nY = [0] * N\ndx = [1, -1, 0, 0]\ndy = [0, 0, 1, -1]\nfor i in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        Y[0] += dy[[\"R\", \"L\", \"U\", \"D\"].index(query[1])]\n        for j in range(N - 1):\n            (X[j], X[j + 1]) = (X[j + 1], X[j])\n            (Y[j], Y[j + 1]) = (Y[j + 1], Y[j])\n    else:\n        idx = int(query[1]) - 1\n        print(X[idx], Y[idx])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(N)]\nY = [0] * N\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        if query[1] == \"R\":\n            X.pop(0)\n            X.append(X[-1] + 1)\n        elif query[1] == \"L\":\n            X.pop(0)\n            X.insert(0, X[0] - 1)\n        elif query[1] == \"U\":\n            Y.pop(0)\n            Y.append(Y[-1] + 1)\n        else:\n            Y.pop(0)\n            Y.insert(0, Y[0] - 1)\n    else:\n        idx = int(query[1]) - 1\n        print(X[idx], Y[idx])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = [i for i in range(1, N + 1)]\nY = [0] * N\ndx = [1, -1, 0, 0]\ndy = [0, 0, 1, -1]\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        Y[0] += dy[[\"L\", \"R\", \"U\", \"D\"].index(query[1])]\n        for i in range(N - 1):\n            (X[i], X[i + 1]) = (X[i + 1], X[i])\n            (Y[i], Y[i + 1]) = (Y[i + 1], Y[i])\n    else:\n        idx = int(query[1]) - 1\n        print(X[idx], Y[idx])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\ndragon = [i for i in range(N)]\nhead_x = 0\nhead_y = 0\nfor _ in range(Q):\n    query = input().split()\n    if query[0] == \"1\":\n        if query[1] == \"R\":\n            head_x += 1\n        elif query[1] == \"L\":\n            head_x -= 1\n        elif query[1] == \"U\":\n            head_y += 1\n        else:\n            head_y -= 1\n        dragon.insert(0, dragon.pop())\n    else:\n        p = int(query[1])\n        print(dragon[p - 1] + head_x, head_y)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\na[n // 2][n // 2] = \"T\"\nk = 1\nfor i in range(n // 2):\n    a[i][n // 2] = k\n    k += 1\nfor i in range(n // 2 + 1, n):\n    a[i][n // 2] = m\n    m -= 1\nfor i in range(n // 2):\n    a[n // 2][i] = k\n    k += 1\nfor i in range(n // 2 + 1, n):\n    a[n // 2][i] = m\n    m -= 1\nfor i in range(n // 2):\n    a[i][n // 2 + 1 : n] = a[i][n // 2 + 1 : n][::-1]\nfor i in range(n // 2 + 1, n):\n    a[i][n // 2 + 1 : n] = a[i][n // 2 + 1 : n][::-1]\nfor i in range(n // 2 + 1, n):\n    a[n // 2 + 1 : n][i] = a[n // 2 + 1 : n][i][::-1]\nfor i in range(n // 2):\n    a[n // 2 + 1 : n][i] = a[n // 2 + 1 : n][i][::-1]\nfor i in a:\n    print(*i)",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\na[n // 2][n // 2] = \"T\"\nk = 1\nfor i in range(n // 2):\n    a[i][n // 2] = k\n    k += 1\n    a[n - 1 - i][n // 2] = k\n    k += 1\nfor i in range(n // 2 + 1, n):\n    a[i][n // 2] = k\n    k += 1\n    a[n - 1 - i][n // 2] = k\n    k += 1\nfor i in range(n // 2):\n    for j in range(n // 2 + 1, n):\n        a[i][j] = k\n        k += 1\n        a[n - 1 - i][j] = k\n        k += 1\n        a[i][n - 1 - j] = k\n        k += 1\n        a[n - 1 - i][n - 1 - j] = k\n        k += 1\nfor i in range(n):\n    print(\" \".join(str(a[i][j]) for j in range(n)))",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\nx, y = n // 2, n // 2\na[x][y] = \"T\"\ni, j = x, y - 1\nfor k in range(1, m):\n    a[i][j] = k\n    if k % 2 == 0:\n        if j > 0:\n            j -= 1\n        else:\n            i -= 1\n            j = y\n    else:\n        if i > 0:\n            i -= 1\n        else:\n            i = x\n            j -= 1\nfor i in range(n):\n    print(\" \".join(map(str, a[i])))",
                "n = int(input())\nm = n * n\na = [[0] * n for _ in range(n)]\nx, y = n // 2, n // 2\na[x][y] = \"T\"\nfor i in range(1, m):\n    dx, dy = [-1, 0, 1, 0], [0, -1, 0, 1]\n    for j in range(4):\n        nx, ny = x + dx[j], y + dy[j]\n        if 0 <= nx < n and 0 <= ny < n and a[nx][ny] == 0:\n            a[nx][ny] = i + 1\n            x, y = nx, ny\n            break\nfor i in range(n):\n    print(*a[i])",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\na[n // 2][n // 2] = \"T\"\nx, y = n // 2, n // 2\ndx, dy = 0, 1\nfor i in range(2, m + 1):\n    a[x + dx][y + dy] = i\n    if dx == 1 and x + dx == n - 1:\n        dx, dy = -1, dy\n    elif dx == -1 and x + dx == 0:\n        dx, dy = 1, dy\n    elif dy == 1 and y + dy == n - 1:\n        dx, dy = dx, -1\n    elif dy == -1 and y + dy == 0:\n        dx, dy = dx, 1\n    x += dx\n    y += dy\nfor i in a:\n    print(*i)",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\nx, y = n // 2, n // 2\na[x][y] = \"T\"\nfor i in range(1, m):\n    if i % 2 == 1:\n        a[x][y - 1] = i\n    else:\n        a[x][y + 1] = i\n    if i == n * n - n:\n        x -= 1\n        y = n // 2\n    elif i == n * n - 1:\n        x += 1\n        y = n // 2\n    elif i % (n + 1) == 0:\n        x -= 1\n    elif i % (n + 1) == n:\n        x += 1\n    elif i % 2 == 0:\n        y -= 1\n    else:\n        y += 1\nfor i in a:\n    print(*i)",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\nx, y = n // 2, n // 2\na[x][y] = \"T\"\nfor i in range(1, m):\n    if a[x - 1][y] == 0:\n        a[x - 1][y] = i\n    elif a[x + 1][y] == 0:\n        a[x + 1][y] = i\n    elif a[x][y - 1] == 0:\n        a[x][y - 1] = i\n    else:\n        a[x][y + 1] = i\nfor i in a:\n    print(*i)",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\nx, y = (n + 1) // 2, (n + 1) // 2\na[x][y] = \"T\"\nk = 1\nfor i in range(n):\n    for j in range(n):\n        if a[i][j]:\n            continue\n        if i == x and j == y - 1:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == x and j == y + 1:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == x - 1 and j == y:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == x + 1 and j == y:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == x and j == 0:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == x and j == n - 1:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == 0 and j == y:\n            a[i][j] = str(k)\n            k += 1\n            continue\n        if i == n - 1 and j == y:\n            a[i][j] = str(k)\n            k += 1\nfor i in a:\n    print(*i)",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\nx, y = n // 2, n // 2\na[x][y] = \"T\"\ndx = [-1, 0, 1, 0]\ndy = [0, -1, 0, 1]\nd = 0\nfor i in range(1, m):\n    nx, ny = x + dx[d], y + dy[d]\n    if 0 <= nx < n and 0 <= ny < n:\n        a[nx][ny] = i\n    else:\n        d = (d + 1) % 4\n        nx, ny = x + dx[d], y + dy[d]\n        a[nx][ny] = i\n    x, y = nx, ny\nfor i in a:\n    print(*i)",
                "n = int(input())\nm = n * n\na = [[0] * n for i in range(n)]\na[n // 2][n // 2] = \"T\"\nk = 1\nfor i in range(n // 2):\n    a[i][n // 2] = k\n    k += 1\n    a[n - 1 - i][n // 2] = k\n    k += 1\nfor i in range(n // 2 + 1, n):\n    a[i][n // 2] = k\n    k += 1\n    a[i - 2][n // 2] = k\n    k += 1\nfor i in range(n // 2 + 1, n):\n    for j in range(n // 2 + 1, n):\n        a[i][j] = k\n        k += 1\n        a[i - 1][j - 1] = k\n        k += 1\nfor i in range(n // 2 + 1, n):\n    for j in range(n // 2 - 1, -1, -1):\n        a[i][j] = k\n        k += 1\n        a[i - 1][j + 1] = k\n        k += 1\nfor i in range(n // 2 - 1, -1, -1):\n    for j in range(n // 2 + 1, n):\n        a[i][j] = k\n        k += 1\n        a[i + 1][j - 1] = k\n        k += 1\nfor i in range(n // 2 - 1, -1, -1):\n    for j in range(n // 2 - 1, -1, -1):\n        a[i][j] = k\n        k += 1\n        a[i + 1][j + 1] = k\n        k += 1\nfor i in range(n):\n    print(\" \".join(str(a[i][j]) for j in range(n)))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")",
                "n = int(input())\nprint(\"L\" + \"o\" * n + \"ng\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n = n // 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n //= 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\n\r\ncount = 0\r\n\r\nwhile n % 2 == 0:\r\n    n //= 2\r\n    count += 1\r\n\r\nprint(count)",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n = n // 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n //= 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n //= 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n //= 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n = n // 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nc = 0\r\nwhile n % 2 == 0:\r\n    n //= 2\r\n    c += 1\r\nprint(c)\r",
                "n = int(input())\r\nprint(bin(n).count(\"0\") - 1)\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def f(n, d):\r\n    if n == 0:\r\n        return d\r\n    return f(n // 5, d * 10) + (n % 5) * d\r\n\r\nn = int(input())\r\nans = \"\"\r\nfor i in range(1, 100):\r\n    if f(i, 2) >= n:\r\n        ans = \"2\" * i\r\n        break\r\n    n -= f(i, 2)\r\nprint(ans)\r",
                "def f(n, d):\r\n    if n == 0:\r\n        return d\r\n    else:\r\n        return f(n // 5, d * 10) + f(n % 5, d * 10 + 2)\r\n\r\nn = int(input())\r\nprint(f(n, 2))\r",
                "def main():\r\n    n = int(input())\r\n    if n == 1:\r\n        print(0)\r\n        return\r\n    n -= 1\r\n    s = \"\"\r\n    while n:\r\n        d = n % 5\r\n        n //= 5\r\n        if d == 0:\r\n            s = \"0\" + s\r\n        elif d == 1:\r\n            s = \"2\" + s\r\n        elif d == 2:\r\n            s = \"4\" + s\r\n        elif d == 3:\r\n            s = \"6\" + s\r\n        else:\r\n            s = \"8\" + s\r\n    print(\"2\" + s)\r\n\r\n\r\nmain()\r",
                "def f(n):\r\n    if n == 0:\r\n        return 0\r\n    if n < 5:\r\n        return n\r\n    q, r = divmod(n - 1, 5)\r\n    return 10**q * 2 + f(r)\r\n\r\n\r\nn = int(input())\r\nprint(f(n))\r",
                "def main():\r\n    n = int(input())\r\n    if n == 1:\r\n        print(0)\r\n        return\r\n    n -= 1\r\n    s = \"\"\r\n    for i in range(1, 1000000):\r\n        s = \"2\" + s\r\n        n -= 5 ** (i - 1)\r\n        if n <= 0:\r\n            break\r\n    print(s[: n % 5 + 1])\r\n\r\n\r\nmain()\r",
                "def f(n, m):\r\n    if n == 0:\r\n        return m\r\n    return f(n // 5, m * 10 + 2)\r\n\r\nn = int(input())\r\nprint(f(n, 0))\r",
                "def f(n):\r\n    if n == 0:\r\n        return 0\r\n    if n <= 5:\r\n        return n\r\n    q, r = divmod(n - 1, 5)\r\n    return 10**q * 2 + f(r)\r\n\r\nn = int(input())\r\nprint(f(n))\r",
                "def good_integer(n):\r\n    if n == 0:\r\n        return \"0\"\r\n    digits = []\r\n    while n:\r\n        digits.append(str(n % 5))\r\n        n //= 5\r\n    return \"\".join(digits[::-1])\r\n\r\n\r\ndef solve(n):\r\n    if n == 1:\r\n        return \"0\"\r\n    digits = []\r\n    i = 1\r\n    while n > 0:\r\n        if n % 5 == 0:\r\n            digits.append(\"0\")\r\n            n //= 5\r\n        else:\r\n            digits.append(str(8 - (n - 1) % 5))\r\n            n = (n - 1) // 5 * 5 + 4\r\n        i += 1\r\n    return \"2\" * (len(digits) - 1) + \"\".join(digits[::-1])\r\n\r\n\r\nn = int(input())\r\nprint(solve(n))\r",
                "def main():\r\n    n = int(input())\r\n    if n == 1:\r\n        print(0)\r\n        return\r\n    n -= 1\r\n    s = \"\"\r\n    for i in range(1, 1000000):\r\n        s = \"2\" + s\r\n        n -= len(s)\r\n        if n <= 0:\r\n            break\r\n    s = list(s)\r\n    for i in range(len(s)):\r\n        if n == 0:\r\n            break\r\n        if s[i] == \"8\":\r\n            s[i] = \"0\"\r\n        elif s[i] == \"6\":\r\n            s[i] = \"8\"\r\n        elif s[i] == \"4\":\r\n            s[i] = \"6\"\r\n        elif s[i] == \"2\":\r\n            s[i] = \"4\"\r\n        elif s[i] == \"0\":\r\n            s[i] = \"2\"\r\n        n -= 1\r\n    print(\"\".join(s))\r\n\r\n\r\nmain()\r",
                "def main():\r\n    n = int(input())\r\n    if n == 1:\r\n        print(0)\r\n        return\r\n    n -= 1\r\n    s = \"\"\r\n    for i in range(1, 1000000):\r\n        s = \"2\" + s\r\n        n -= i * 5\r\n        if n <= 0:\r\n            break\r\n    print(s[: n % 5 + 1])\r\n\r\n\r\nmain()\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\n\nA.sort()\n\nans = 0\nfor i in range(N):\n    for j in range(i, N):\n        k = A[j] - j + i\n        if k > ans and k <= A[j]:\n            ans = k\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    for j in range(i, n):\n        if a[j] - j + i > ans:\n            ans = a[j] - j + i\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    for j in range(i, n):\n        k = a[j] - j + i\n        if k > 0 and k <= a[j]:\n            ans = max(ans, j - i + 1 + (n - j - 1))\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\n\nl, r = 0, n - 1\nans = 0\nwhile l < r:\n    if a[l] + a[r] <= a[l + 1]:\n        ans = max(ans, a[l] + a[r] + 1)\n        l += 1\n        r -= 1\n    else:\n        l += 1\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    for j in range(i, n):\n        if a[j] - j + i <= a[i]:\n            ans = max(ans, j - i + 1)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    for j in range(i, n):\n        k = a[j]\n        if k > j - i:\n            k = j - i\n        for l in range(j, n):\n            if a[l] > k:\n                a[l] -= 1\n            else:\n                break\n        ans = max(ans, j - i + 1 + k)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    for j in range(i, n):\n        if a[j] - j + i > ans:\n            ans = a[j] - j + i\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nA = list(map(int, input().split()))\n\nA.sort()\n\nans = 0\nfor i in range(N):\n    for j in range(i, N):\n        k = A[j] - j + i\n        if k > ans:\n            ans = k\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    j = i\n    while j < n and a[j] == a[i]:\n        j += 1\n    if j - i >= 2:\n        ans = max(ans, (j - i + 1) // 2)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n):\n    for j in range(i, n):\n        k = a[j] - j + i\n        if k > 0 and k <= a[j]:\n            ans = max(ans, j - i + 1 + (j - i))\n            break\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi_score = 0\naoki_score = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi_score += x\n    aoki_score += y\nif takahashi_score > aoki_score:\n    print(\"Takahashi\")\nelif aoki_score > takahashi_score:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi_score = 0\naoki_score = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi_score += x\n    aoki_score += y\nif takahashi_score > aoki_score:\n    print(\"Takahashi\")\nelif aoki_score > takahashi_score:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi_score = 0\naoki_score = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi_score += x\n    aoki_score += y\nif takahashi_score > aoki_score:\n    print(\"Takahashi\")\nelif aoki_score > takahashi_score:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")",
                "n = int(input())\ntakahashi = 0\naoki = 0\nfor i in range(n):\n    x, y = map(int, input().split())\n    takahashi += x\n    aoki += y\nif takahashi > aoki:\n    print(\"Takahashi\")\nelif aoki > takahashi:\n    print(\"Aoki\")\nelse:\n    print(\"Draw\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\na = s.count(\"A\")\nb = s.count(\"B\")\nc = s.count(\"C\")\nif a > 0 and b > 0 and c > 0 and a + b + c == len(s) and s[a] == \"B\" and s[a + b] == \"C\":\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nc = s.find(\"C\")\nd = s.rfind(\"C\")\nif a == 0 and b == len(s) - 1 and c > 0 and d == len(s) - 1:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.count(\"A\")\nb = s.count(\"B\")\nc = s.count(\"C\")\nif a > 0 and b > 0 and c > 0:\n    if s[:a] == \"A\" * a and s[a : a + b] == \"B\" * b and s[a + b :] == \"C\" * c:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif s[:a] == \"A\" * len(s[:a]) and s[b + 1 :] == \"C\" * len(s[b + 1 :]) and \"A\" not in s[a : b + 1] and \"C\" not in s[a : b + 1]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif s[:a] == \"A\" * len(s[:a]) and s[b + 1 :] == \"C\" * len(s[b + 1 :]) and \"A\" not in s[a : b + 1] and \"C\" not in s[a : b + 1]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif s[:a] == \"A\" * a and s[b + 1 :] == \"C\" * (len(s) - b - 1):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif s[:a] == \"A\" * a and s[b + 1 :] == \"C\" * (len(s) - b - 1):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif s[:a] == \"A\" * len(s[:a]) and s[b + 1 :] == \"C\" * len(s[b + 1 :]) and \"A\" not in s[a : b + 1] and \"C\" not in s[a : b + 1]:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif a != -1 and b != -1 and a != b:\n    print(\"No\")\nelif s.count(\"A\") == len(s) or s.count(\"B\") == len(s) or s.count(\"C\") == len(s) or (\n    s.count(\"A\") + s.count(\"B\") + s.count(\"C\") == len(s)\n):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\na = s.find(\"B\")\nb = s.rfind(\"B\")\nif s[:a].count(\"A\") == len(s[:a]) and s[b + 1 :].count(\"C\") == len(s[b + 1 :]) and a != -1 and b != -1:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nprint(*ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nprint(*ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nprint(*ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nfor i in range(n):\n    print(ans[i], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nprint(*ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nfor i in range(n):\n    print(ans[i], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nfor i in range(n):\n    print(ans[i], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nfor i in range(n):\n    print(ans[i], end=\" \")",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nans = [0] * n\r\n\r\nfor i in range(n):\r\n    if a[i] == -1:\r\n        ans[i] = i + 1\r\n    else:\r\n        ans[i] = ans[a[i] - 1]\r\n\r\nprint(*ans)\r",
                "n = int(input())\na = list(map(int, input().split()))\n\nans = [0] * n\n\nfor i in range(n):\n    if a[i] == -1:\n        ans[i] = i + 1\n\nfor i in range(n):\n    if a[i] != -1:\n        ans[a[i] - 1] = i + 1\n\nprint(*ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(h, w, k) = map(int, input().split())\ngrid = []\nfor _ in range(h):\n    grid.append(input())\ndp = [[0] * w for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"x\":\n            dp[i][j] = -1\n        elif grid[i][j] == \".\":\n            dp[i][j] = 1\n        else:\n            dp[i][j] = 0\nfor i in range(h):\n    for j in range(w):\n        if j + k <= w:\n            dp[i][j] = max(dp[i][j], dp[i][j + k - 1] + 1)\n        if i + k <= h:\n            dp[i][j] = max(dp[i][j], dp[i + k - 1][j] + 1)\nans = float(\"inf\")\nfor i in range(h):\n    for j in range(w):\n        ans = min(ans, k - dp[i][j])\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "from collections import deque\n\n(h, w, k) = map(int, input().split())\ngrid = []\nfor _ in range(h):\n    grid.append(input())\ndp = [[0] * w for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"x\":\n            dp[i][j] = -1\n        elif grid[i][j] == \"o\":\n            if i > 0:\n                dp[i][j] = max(dp[i][j], dp[i - 1][j])\n            if j > 0:\n                dp[i][j] = max(dp[i][j], dp[i][j - 1])\n        else:\n            if i > 0:\n                dp[i][j] = max(dp[i][j], dp[i - 1][j]) + 1\n            if j > 0:\n                dp[i][j] = max(dp[i][j], dp[i][j - 1]) + 1\nans = -1\nfor i in range(h):\n    for j in range(w):\n        if j + k <= w:\n            if dp[i][j] >= k:\n                ans = max(ans, dp[i][j] - k + 1)\n        if i + k <= h:\n            if dp[i][j] >= k:\n                ans = max(ans, dp[i][j] - k + 1)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(h, w, k) = map(int, input().split())\ns = [input().rstrip() for _ in range(h)]\nans = 10**9\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"x\":\n            continue\n        cnt = 0\n        for y in range(i, min(i + k, h)):\n            for x in range(j, min(j + k, w)):\n                if s[y][x] == \".\":\n                    cnt += 1\n        ans = min(ans, cnt)\nif ans == 10**9:\n    print(-1)\nelse:\n    print(ans)",
                "from collections import deque\n\n(h, w, k) = map(int, input().split())\ns = [input() for _ in range(h)]\ndx = [0, 1, 0, -1]\ndy = [1, 0, -1, 0]\nans = float(\"inf\")\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \"x\":\n            continue\n        cnt = 0\n        for d in range(4):\n            x = i + dx[d]\n            y = j + dy[d]\n            while 0 <= x < h and 0 <= y < w and s[x][y] != \"x\":\n                s[x][y] = \"x\"\n                cnt += 1\n                x += dx[d]\n                y += dy[d]\n        if cnt >= k:\n            ans = min(ans, cnt - k + 1)\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(H, W, K) = map(int, input().split())\nS = [input().rstrip() for _ in range(H)]\nans = 10**9\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \"o\":\n            continue\n        if j + K - 1 < W:\n            if all((S[i][k] == \"o\" for k in range(j, j + K))):\n                ans = 0\n                break\n        if i + K - 1 < H:\n            if all((S[k][j] == \"o\" for k in range(i, i + K))):\n                ans = 0\n                break\n        if j + K - 1 < W and i + K - 1 < H:\n            c = 0\n            for k in range(i, i + K):\n                if S[k][j] == \".\":\n                    c += 1\n            for k in range(j, j + K):\n                if S[i][k] == \".\":\n                    c += 1\n            ans = min(ans, c)\nif ans == 10**9:\n    ans = -1\nprint(ans)",
                "from collections import deque\n\n(h, w, k) = map(int, input().split())\ns = [input() for _ in range(h)]\nans = 10**10\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \".\":\n            if j + k - 1 < w:\n                t = s[i][j : j + k]\n                if t.count(\"o\") == k - 1:\n                    ans = min(ans, 1 + t.count(\".\"))\n            if i + k - 1 < h:\n                t = [s[p][j] for p in range(i, i + k)]\n                if t.count(\"o\") == k - 1:\n                    ans = min(ans, 1 + t.count(\".\"))\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \".\":\n            if j + k - 1 < w and s[i][j : j + k].count(\"x\") == 0:\n                ans = min(ans, s[i][j : j + k].count(\".\"))\n            if i + k - 1 < h and all(\n                s[p][j] != \"x\" for p in range(i, i + k)\n            ):\n                ans = min(ans, sum(s[p][j] == \".\" for p in range(i, i + k)))\nif ans == 10**10:\n    ans = -1\nprint(ans)",
                "from collections import deque\n\nH, W, K = map(int, input().split())\nS = [input() for _ in range(H)]\n\ndx = [0, 1, 0, -1]\ndy = [1, 0, -1, 0]\n\nINF = 10**18\ndp = [[INF] * W for _ in range(H)]\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \"o\":\n            dp[i][j] = 0\n\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \".\":\n            for k in range(4):\n                nx, ny = j + dx[k], i + dy[k]\n                if 0 <= nx < W and 0 <= ny < H and S[ny][nx] == \"o\":\n                    dp[i][j] = 1\n                    break\n\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \"x\":\n            dp[i][j] = INF\n\nfor i in range(H):\n    for j in range(W):\n        if dp[i][j] < K:\n            continue\n        for k in range(4):\n            nx, ny = j + dx[k], i + dy[k]\n            if 0 <= nx < W and 0 <= ny < H:\n                dp[ny][nx] = min(dp[ny][nx], dp[i][j] + (S[i][j] == \".\"))\n\nans = INF\nfor i in range(H):\n    for j in range(W):\n        ans = min(ans, dp[i][j])\n\nif ans == INF:\n    print(-1)\nelse:\n    print(ans - K)",
                "from collections import deque\n\n(h, w, k) = map(int, input().split())\ngrid = []\nfor _ in range(h):\n    grid.append(input())\ndp = [[0] * w for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"x\":\n            dp[i][j] = float(\"inf\")\n        elif grid[i][j] == \"o\":\n            if i > 0:\n                dp[i][j] = min(dp[i][j], dp[i - 1][j] + 1)\n            if j > 0:\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + 1)\nans = float(\"inf\")\nfor i in range(h):\n    for j in range(w):\n        if j + k - 1 < w:\n            ans = min(ans, dp[i][j] + dp[i][j + k - 1] - 1)\n        if i + k - 1 < h:\n            ans = min(ans, dp[i][j] + dp[i + k - 1][j] - 1)\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)",
                "from collections import deque\n\nH, W, K = map(int, input().split())\nS = [input() for _ in range(H)]\n\ndx = [0, 1, 0, -1]\ndy = [1, 0, -1, 0]\n\ndist = [[0] * W for _ in range(H)]\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \"x\":\n            dist[i][j] = -1\n\nq = deque()\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \"o\":\n            q.append((i, j))\n            dist[i][j] = 0\n\nwhile q:\n    y, x = q.popleft()\n    for k in range(4):\n        ny = y + dy[k]\n        nx = x + dx[k]\n        if 0 <= ny < H and 0 <= nx < W:\n            if dist[ny][nx] == -1:\n                continue\n            if dist[ny][nx] == 0 and S[ny][nx] == \".\":\n                dist[ny][nx] = 1\n                q.append((ny, nx))\n\nans = 10**9\nfor i in range(H):\n    for j in range(W - K + 1):\n        if dist[i][j] >= K:\n            ans = min(ans, dist[i][j + K - 1] - K + 1)\nfor i in range(H - K + 1):\n    for j in range(W):\n        if dist[i][j] >= K:\n            ans = min(ans, dist[i + K - 1][j] - K + 1)\n\nif ans == 10**9:\n    print(-1)\nelse:\n    print(ans)",
                "from collections import deque\n\n(h, w, k) = map(int, input().split())\ngrid = []\nfor _ in range(h):\n    grid.append(list(input()))\ndp = [[0] * w for _ in range(h)]\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"x\":\n            dp[i][j] = float(\"inf\")\n        elif grid[i][j] == \"o\":\n            if i > 0:\n                dp[i][j] = min(dp[i][j], dp[i - 1][j] + 1)\n            if j > 0:\n                dp[i][j] = min(dp[i][j], dp[i][j - 1] + 1)\nans = float(\"inf\")\nfor i in range(h):\n    for j in range(w):\n        if j + k - 1 < w:\n            ans = min(ans, dp[i][j] + dp[i][j + k - 1] - 1)\n        if i + k - 1 < h:\n            ans = min(ans, dp[i][j] + dp[i + k - 1][j] - 1)\nif ans == float(\"inf\"):\n    print(-1)\nelse:\n    print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint(n - 1)\nsys.stdout.flush()\nfor i in range(n):\n    if i == n - 1:\n        continue\n    print(n - 1, end=\" \")\n    for j in range(n):\n        if j == i or j == n - 1:\n            continue\n        print(j + 1, end=\" \")\n    print()\n    sys.stdout.flush()\n\ns = input()\nfor i in range(n):\n    if s[i] == \"1\":\n        break\nelse:\n    i = n - 1\nprint(i + 1)",
                "import sys\r\n\r\ninput = sys.stdin.readline\r\n\r\nN = int(input())\r\n\r\nprint((N - 1) // 2 + 1)\r\n\r\nfor i in range((N - 1) // 2 + 1):\r\n    if i == (N - 1) // 2:\r\n        if N % 2 == 0:\r\n            print(2, i + 1, i + 2)\r\n        else:\r\n            print(1, i + 1)\r\n    else:\r\n        print(1, i + 1)\r\n\r\nS = input()\r\n\r\nfor i in range((N - 1) // 2 + 1):\r\n    if S[i] == '1':\r\n        print(i + 1)\r\n        exit()\r",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint(2)\nprint(1, 1)\nprint(1, 2)\ns = input()\nif s == \"10\":\n    print(1)\nelif s == \"01\":\n    print(2)\nelse:\n    print(3)",
                "import sys\r\ninput = sys.stdin.readline\r\n\r\nn = int(input())\r\n\r\nprint(n - 1)\r\nfor i in range(n - 1):\r\n    print(n - 1, i + 2, sep=' ', end='\\n')\r\n\r\ns = input()\r\n\r\nfor i in range(n - 1):\r\n    if s[i] == '1':\r\n        print(i + 2)\r\n        exit()",
                "import sys\n\ninput = sys.stdin.readline\n\nn = int(input())\n\nprint((n - 1) // 2 + 1)\n\nfor i in range(1, n + 1):\n    if i % 2 == 1:\n        print(i, end=' ')\n    elif (i - 1) % 4 == 0:\n        print(i, end=' ')\nprint()\n\ns = input()\n\nfor i in range(n):\n    if s[i] == '1':\n        print(i + 1)\n        exit()",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint(n - 1)\nsys.stdout.flush()\nfor i in range(n):\n    if i == n - 1:\n        continue\n    print(n - 1, end=\" \")\n    for j in range(n):\n        if j == i or j == n - 1:\n            continue\n        print(j + 1, end=\" \")\n    print()\n    sys.stdout.flush()\n\ns = input()\nfor i in range(n):\n    if s[i] == \"1\":\n        break\nelse:\n    i = n - 1\nprint(i + 1)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint((n - 1) // 2 + 1)\nsys.stdout.flush()\n\nfor i in range(n):\n    if i < (n - 1) // 2:\n        print(2, i + 1, n)\n    else:\n        print(1, i + 1)\n    sys.stdout.flush()\n\ns = input()\nfor i in range(n):\n    if s[i] == '1':\n        print(i + 1)\n        sys.stdout.flush()\n        break",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint(n - 1)\nsys.stdout.flush()\nfor i in range(n):\n    print(n - 1, *(range(n)[:i] + range(i + 1, n)))\n    sys.stdout.flush()\ns = input()\nprint((int(s) + 1).index('1') + 1)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint(n - 1)\nsys.stdout.flush()\nfor i in range(n):\n    if i == n - 1:\n        continue\n    print(n - 1, end=\" \")\n    for j in range(n):\n        if j == i or j == n - 1:\n            continue\n        print(j + 1, end=\" \")\n    print()\nsys.stdout.flush()\ns = input()\nfor i in range(n):\n    if s[i] == \"1\":\n        break\nprint(i + 1)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nprint(n - 1)\nsys.stdout.flush()\nfor i in range(n):\n    if i == n - 1:\n        continue\n    print(n - 1, end=\" \")\n    for j in range(n):\n        if j == i or j == n - 1:\n            continue\n        print(j + 1, end=\" \")\n    print()\n    sys.stdout.flush()\n\ns = input()\nfor i in range(n):\n    if s[i] == \"1\":\n        x = i + 1\n        break\nprint(x)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s[0].isupper() and all(c.islower() for c in s[1:]):\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nd = {}\nfor i in s:\n    if i in d:\n        d[i] += 1\n    else:\n        d[i] = 1\nmx = max(d.values())\nfor i in sorted(d.keys()):\n    if d[i] == mx:\n        print(i)\n        break",
                "s = input()\nfrom collections import Counter\n\nc = Counter(s)\nmx = max(c.values())\nfor i in range(97, 123):\n    if chr(i) in c and c[chr(i)] == mx:\n        print(chr(i))\n        break",
                "s = input()\r\nd = {}\r\nfor i in s:\r\n    if i in d:\r\n        d[i] += 1\r\n    else:\r\n        d[i] = 1\r\nm = max(d.values())\r\nfor i in sorted(d.keys()):\r\n    if d[i] == m:\r\n        print(i)\r\n        break\r",
                "s = input()\r\nd = {}\r\nfor i in s:\r\n    if i in d:\r\n        d[i] += 1\r\n    else:\r\n        d[i] = 1\r\nm = max(d.values())\r\nfor i in range(97, 123):\r\n    if chr(i) in d and d[chr(i)] == m:\r\n        print(chr(i))\r\n        break\r",
                "s = input()\r\nd = {}\r\nfor i in s:\r\n    if i in d:\r\n        d[i] += 1\r\n    else:\r\n        d[i] = 1\r\nmx = max(d.values())\r\nfor i in sorted(d):\r\n    if d[i] == mx:\r\n        print(i)\r\n        break\r",
                "s = input()\r\nd = {}\r\nfor i in s:\r\n    if i in d:\r\n        d[i] += 1\r\n    else:\r\n        d[i] = 1\r\nm = max(d.values())\r\nfor i in range(97, 123):\r\n    if chr(i) in d and d[chr(i)] == m:\r\n        print(chr(i))\r\n        exit()",
                "s = input()\r\nd = {}\r\nfor i in s:\r\n    if i in d:\r\n        d[i] += 1\r\n    else:\r\n        d[i] = 1\r\nm = max(d.values())\r\nfor i in range(97, 123):\r\n    if chr(i) in d and d[chr(i)] == m:\r\n        print(chr(i))\r\n        break\r",
                "s = input()\r\nfrom collections import Counter\r\n\r\nc = Counter(s)\r\nm = max(c.values())\r\nfor i in range(97, 123):\r\n    if chr(i) in c and c[chr(i)] == m:\r\n        print(chr(i))\r\n        break\r",
                "s = input()\r\nd = {}\r\nfor i in s:\r\n    if i in d:\r\n        d[i] += 1\r\n    else:\r\n        d[i] = 1\r\nm = max(d.values())\r\nfor i in range(97, 123):\r\n    if chr(i) in d and d[chr(i)] == m:\r\n        print(chr(i))\r\n        exit()",
                "s = input()\nd = {}\nfor i in s:\n    if i in d:\n        d[i] += 1\n    else:\n        d[i] = 1\nm = max(d.values())\nfor i in range(97, 123):\n    if chr(i) in d and d[chr(i)] == m:\n        print(chr(i))\n        break"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nans = 0\nfor i in range(10000):\n    for j in range(10000):\n        flag = True\n        for k in range(n):\n            if q[k] < (i + 1) * a[k] + (j + 1) * b[k]:\n                flag = False\n                break\n        if flag:\n            ans = max(ans, i + j)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ndp = [[0] * (sum(q) + 1) for _ in range(n + 1)]\nfor i in range(1, n + 1):\n    for j in range(sum(q) + 1):\n        if j < a[i - 1]:\n            dp[i][j] = dp[i - 1][j]\n        else:\n            dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - a[i - 1]] + 1)\nans = 0\nfor i in range(sum(q) + 1):\n    ans = max(ans, dp[n][i] + (sum(q) - i) // b[0])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ndp = [[0] * (sum(q) + 1) for _ in range(n + 1)]\nfor i in range(1, n + 1):\n    for j in range(sum(q) + 1):\n        if j < a[i - 1]:\n            dp[i][j] = dp[i - 1][j]\n        else:\n            dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - a[i - 1]] + 1)\nfor i in range(n + 1):\n    for j in range(sum(q) + 1):\n        if j < b[i]:\n            dp[i][j] = max(dp[i][j], dp[n][j])\nprint(dp[n][sum(q)])",
                "from collections import defaultdict\nfrom itertools import product\n\nN = int(input())\nQ = list(map(int, input().split()))\nA = list(map(int, input().split()))\nB = list(map(int, input().split()))\n\n# Calculate the gcd of two numbers\ndef gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a\n\n\n# Calculate the lcm of two numbers\ndef lcm(a, b):\n    return a * b // gcd(a, b)\n\n\n# Calculate the lcm of a list of numbers\ndef lcm_list(lst):\n    result = 1\n    for i in lst:\n        result = lcm(result, i)\n    return result\n\n\n# Calculate the number of servings of dish A and B that can be made\ndef calculate_servings(Q, A, B):\n    # Calculate the lcm of the ingredients required for each dish\n    lcm_A = lcm_list(A)\n    lcm_B = lcm_list(B)\n\n    # Initialize the number of servings of each dish to 0\n    servings_A = 0\n    servings_B = 0\n\n    # Calculate the maximum number of servings of dish A\n    for i in range(len(Q)):\n        servings_A += Q[i] // lcm_A\n\n    # Calculate the maximum number of servings of dish B\n    for i in range(len(Q)):\n        servings_B += Q[i] // lcm_B\n\n    return servings_A, servings_B\n\n\n# Calculate the maximum number of servings of dishes that can be made\ndef max_servings(Q, A, B):\n    # Calculate the initial number of servings of each dish\n    servings_A, servings_B = calculate_servings(Q, A, B)\n\n    # Initialize the maximum number of servings of dishes\n    max_servings = servings_A + servings_B\n\n    # Check all possible combinations of dish servings\n    for a, b in product(range(servings_A + 1), range(servings_B + 1)):\n        # Check if the combination of dish servings is valid\n        if a < 0 or b < 0:\n            continue\n\n        # Calculate the ingredients used for each dish\n        used_A = [x * a for x in A]\n        used_B = [x * b for x in B]\n\n        # Check if the combination of dish servings uses too many ingredients\n        for i in range(len(Q)):\n            if Q[i] < sum(used_A[i]) + sum(used_B[i]):\n                break\n        else:\n            # If the combination is valid, update the maximum number of servings\n            max_servings = max(max_servings, a + b)\n\n    return max_servings\n\n\n# Print the maximum number of servings of dishes that can be made\nprint(max_servings(Q, A, B))",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ndp = [[0] * (sum(q) + 1) for _ in range(n + 1)]\nfor i in range(n):\n    dp[i + 1][q[i]] = 1\nfor i in range(n + 1):\n    for j in range(sum(q) + 1):\n        if dp[i][j] == 0:\n            continue\n        if i == n:\n            dp[i][j] = j // a[i - 1]\n        else:\n            dp[i + 1][j] = max(dp[i + 1][j], dp[i][j])\n            if j - b[i] >= 0:\n                dp[i][j - b[i]] += 1\nprint(dp[n][sum(q)])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ndp = [[0] * (sum(q) + 1) for _ in range(n + 1)]\nfor i in range(1, n + 1):\n    for j in range(sum(q) + 1):\n        if j < a[i - 1]:\n            dp[i][j] = dp[i - 1][j]\n        else:\n            dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - a[i - 1]] + 1)\nfor i in range(n - 1, -1, -1):\n    for j in range(sum(q) + 1):\n        if j < b[i]:\n            dp[i][j] = max(dp[i][j], dp[i + 1][j])\n        else:\n            dp[i][j] = max(dp[i][j], dp[i + 1][j - b[i]] + 1)\nprint(dp[0][sum(q)])",
                "from collections import defaultdict\nfrom itertools import product\n\nN = int(input())\nQ = [int(i) for i in input().split()]\nA = [int(i) for i in input().split()]\nB = [int(i) for i in input().split()]\n\ndp = defaultdict(int)\nfor i in range(N + 1):\n    dp[i] = defaultdict(int)\n\nfor i in range(N + 1):\n    dp[i][0] = 1\n\nfor i in range(1, N + 1):\n    for j in range(Q[i - 1] // A[i - 1] + 1):\n        dp[i][j] = dp[i - 1][j]\n\nfor i in range(1, N + 1):\n    for j in range(Q[i - 1] // B[i - 1] + 1):\n        dp[i][j] += dp[i - 1][j]\n\nans = 0\nfor i in product(*[range(Q[i] // A[i] + 1) for i in range(N)]):\n    ans += dp[N][sum(j * A[i] for i, j in enumerate(i))]\n\nfor i in product(*[range(Q[i] // B[i] + 1) for i in range(N)]):\n    ans += dp[N][sum(j * B[i] for i, j in enumerate(i))]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nans = 0\nfor i in range(1, 10**6 + 1):\n    for j in range(1, 10**6 + 1):\n        flag = True\n        for k in range(n):\n            if q[k] < i * a[k] + j * b[k]:\n                flag = False\n                break\n        if flag:\n            ans = max(ans, i + j)\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ndp = [[0] * (sum(q) + 1) for _ in range(n + 1)]\nfor i in range(1, n + 1):\n    for j in range(sum(q) + 1):\n        if j < a[i - 1]:\n            dp[i][j] = dp[i - 1][j]\n        else:\n            dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - a[i - 1]] + 1)\nfor i in range(n - 1, -1, -1):\n    for j in range(sum(q) + 1):\n        if j < b[i]:\n            dp[i][j] = max(dp[i][j], dp[i + 1][j])\n        else:\n            dp[i][j] = max(dp[i][j], dp[i + 1][j - b[i]] + 1)\nprint(dp[0][sum(q)])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nq = list(map(int, input().split()))\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\ndp = [[0] * (10**5 + 1) for _ in range(n + 1)]\nfor i in range(n):\n    for j in range(q[i] // a[i], -1, -1):\n        dp[i + 1][j] = max(dp[i + 1][j], dp[i][j - 1] + 1)\n    for j in range(q[i] // b[i], -1, -1):\n        dp[i + 1][j] = max(dp[i + 1][j], dp[i][j])\nprint(dp[n][0])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\nx = list(map(int, input().split()))\n\nans = 0\nfor i in range(1, n):\n    ans += abs(x[i - 1] - x[i]) - 1\n\nprint(ans + min(abs(x[0] - x[-1]) - 1, abs(x[0] - x[-1]) + n - 2))",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nX = list(map(int, input().split()))\n\nans = 0\nfor i in range(M - 1):\n    if X[i] > X[i + 1]:\n        ans += X[i] - X[i + 1]\n    else:\n        ans += N - X[i + 1] + X[i]\n\nprint(ans)",
                "n, m = map(int, input().split())\nx = list(map(int, input().split()))\n\nans = 0\nfor i in range(m - 1):\n    if x[i] < x[i + 1]:\n        ans += x[i + 1] - x[i] - 1\n    else:\n        ans += n - x[i] + x[i + 1] - 1\n\nprint(ans)",
                "from collections import defaultdict\n\n(n, m) = map(int, input().split())\nx = list(map(int, input().split()))\nd = defaultdict(int)\nfor i in range(m - 1):\n    d[x[i] - x[i + 1]] += 1\nd[x[-1] - x[0]] += 1\nd[n] += 1\nans = n * (n - 1) // 2 - max(d.values())\nprint(ans)",
                "n, m = map(int, input().split())\nx = list(map(int, input().split()))\n\nans = 0\nfor i in range(m - 1):\n    if x[i] < x[i + 1]:\n        ans += x[i + 1] - x[i] - 1\n    else:\n        ans += n - x[i + 1] + x[i] - 1\n\nprint(ans)",
                "n, m = map(int, input().split())\nx = list(map(int, input().split()))\n\nans = 0\nfor i in range(m - 1):\n    if x[i] > x[i + 1]:\n        ans += abs(x[i] - x[i + 1]) - 1\n    else:\n        ans += abs(x[i] - x[i + 1]) + 1\n\nprint(ans)",
                "from sys import stdin\n\ninput = stdin.readline\n(N, M) = map(int, input().split())\nX = list(map(int, input().split()))\n\nans = 0\nfor i in range(1, N):\n    if X[0] - X[-1] > i:\n        ans += 2 * i\n    else:\n        ans += X[0] - X[-1] + i\n\nfor i in range(M - 1):\n    if X[i] - X[i + 1] > 1:\n        ans += 2 * (X[i] - X[i + 1] - 1)\nprint(ans)",
                "n, m = map(int, input().split())\nx = list(map(int, input().split()))\n\nans = 0\nfor i in range(m - 1):\n    ans += abs(x[i] - x[i + 1]) - 1\n\nprint(ans + min(abs(x[0] - x[-1]) - 1, abs(x[0] - x[-1]) + n - 1))",
                "n, m = map(int, input().split())\nx = list(map(int, input().split()))\n\nans = 0\nfor i in range(m - 1):\n    if x[i] < x[i + 1]:\n        ans += x[i + 1] - x[i] - 1\n    else:\n        ans += n - x[i] + x[i + 1] - 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nX = list(map(int, input().split()))\n\nans = 0\nfor i in range(M - 1):\n    if X[i] > X[i + 1]:\n        ans += X[i] - X[i + 1]\n    else:\n        ans += N - X[i + 1] + X[i]\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nl = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    l.append([a, b])\nl.sort()\nfor i in range(n):\n    a, b = l[i]\n    for j in range(i + 1, n):\n        c, d = l[j]\n        if a < c < b or a < d < b:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nAB = [list(map(int, input().split())) for i in range(N)]\n\nfor i in range(N):\n    AB[i].sort()\n\nAB.sort()\n\nfor i in range(N - 1):\n    if AB[i][1] < AB[i + 1][0]:\n        print(\"Yes\")\n        sys.exit(0)\n\nprint(\"No\")",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i][0] - a[i][1]) * (a[j][0] - a[j][1]) > 0:\n            continue\n        if (a[i][0] > a[j][0] and a[i][0] < a[j][1]) or (a[i][0] < a[j][0] and a[i][0] > a[j][1]):\n            continue\n        if (a[i][1] > a[j][0] and a[i][1] < a[j][1]) or (a[i][1] < a[j][0] and a[i][1] > a[j][1]):\n            continue\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n = int(input())\n\na = []\nb = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append(x)\n    b.append(y)\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i] - b[i]) * (b[j] - a[j]) < 0:\n            print(\"Yes\")\n            exit()\n        if a[i] > b[i]:\n            a[i], b[i] = b[i], a[i]\n\nprint(\"No\")",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append([x, y])\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        x1, y1 = a[i]\n        x2, y2 = a[j]\n        if abs(x1 - x2) * abs(y1 - y2) < ((max(x1, x2) - min(x1, x2)) ** 2 + (max(y1, y2) - min(y1, y2)) ** 2) / 4:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n\nn = int(input())\n\nab = [list(map(int, input().split())) for i in range(n)]\n\nfor i in range(n):\n    ab[i][0] -= 1\n    ab[i][1] -= 1\n\nab.sort()\n\nfor i in range(n):\n    a, b = ab[i]\n    for j in range(i + 1, n):\n        c, d = ab[j]\n        if a < c < b or a < d < b:\n            print(\"Yes\")\n            exit()\n        elif c < a < d or c < b < d:\n            print(\"Yes\")\n            exit()\n\nprint(\"No\")",
                "n = int(input())\nl = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    l.append([a, b])\nl.sort()\nfor i in range(n):\n    for j in range(i + 1, n):\n        if l[i][0] < l[j][0] and l[i][1] > l[j][1]:\n            print(\"Yes\")\n            exit()\n        elif l[i][0] > l[j][0] and l[i][1] < l[j][1]:\n            print(\"Yes\")\n            exit()\nprint(\"No\")",
                "def gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a\n\n\ndef extgcd(a, b):\n    if b == 0:\n        return 1, 0\n    else:\n        x, y = extgcd(b, a % b)\n        return y, x - a // b * y\n\n\ndef solve(n, ab):\n    x = 0\n    y = 0\n    for a, b in ab:\n        d = gcd(a - x, b - y)\n        x = (a - x) // d\n        y = (b - y) // d\n        if x == 0 and y == 0:\n            continue\n        if a == x and b == y:\n            return \"No\"\n        return \"Yes\"\n    return \"No\"\n\n\nn = int(input())\nab = [list(map(int, input().split())) for _ in range(n)]\nprint(solve(n, ab))",
                "n = int(input())\ns = [list(map(int, input().split())) for i in range(n)]\nfor i in range(n):\n    if (s[i][0] + s[i][1]) % (2 * n) != 0:\n        s[i][0] = (s[i][0] + s[i][1]) % (2 * n)\n    else:\n        s[i][0] = 2 * n\ns.sort(key=lambda x: x[0])\nfor i in range(n - 1):\n    if s[i][1] > s[i + 1][0]:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n = int(input())\n\na = []\nb = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append(x)\n    b.append(y)\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i] - b[i]) * (a[j] - b[j]) < 0:\n            print(\"Yes\")\n            exit()\n        elif (a[i] - b[i]) * (a[j] - b[j]) == 0:\n            if a[i] == a[j] or b[i] == b[j]:\n                print(\"Yes\")\n                exit()\nprint(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    u, v, w = list(map(int, input().split()))\n    u, v = u - 1, v - 1\n    graph[u].append((v, w))\n\nINF = float(\"inf\")\ndp = [[INF] * N for _ in range(1 << N)]\ndp[0][0] = 0\n\nfor st in range(1 << N):\n    for v in range(N):\n        if dp[st][v] == INF:\n            continue\n        for nv, w in graph[v]:\n            if st >> nv & 1:\n                dp[st | (1 << nv)][nv] = min(dp[st | (1 << nv)][nv], dp[st][v] + w)\n\nans = INF\nfor v in range(N):\n    ans = min(ans, dp[(1 << N) - 1][v])\n\nif ans == INF:\n    print(\"No\")\nelse:\n    print(ans)",
                "from collections import defaultdict\nfrom heapq import heappush, heappop\n\nn, m = map(int, input().split())\ngraph = defaultdict(list)\nfor _ in range(m):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n\ninf = float(\"inf\")\ndist = [inf] * (n + 1)\ndist[1] = 0\npq = [(0, 1)]\nwhile pq:\n    c_dist, v = heappop(pq)\n    if dist[v] < c_dist:\n        continue\n    for nv, nw in graph[v]:\n        if dist[nv] > dist[v] + nw:\n            dist[nv] = dist[v] + nw\n            heappush(pq, (dist[nv], nv))\n\nans = sum(dist)\nif ans == inf:\n    print(\"No\")\nelse:\n    print(ans)",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\n\ngraph = defaultdict(dict)\n\nfor _ in range(m):\n    u, v, w = map(int, input().split())\n    graph[u][v] = w\n\ninf = float(\"inf\")\ndp = [[inf] * n for _ in range(1 << n)]\n\ndp[0][0] = 0\n\nfor i in range(n):\n    dp[1][i] = graph[0][i]\n\nfor s in range(1, 1 << n):\n    for i in range(n):\n        if dp[s][i] == inf:\n            continue\n        for j in range(n):\n            if j == i or (s & 1 << j) != 0:\n                continue\n            dp[s | 1 << j][j] = min(dp[s | 1 << j][j], dp[s][i] + graph[i][j])\n\nans = inf\nfor i in range(n):\n    ans = min(ans, dp[(1 << n) - 1][i])\n\nif ans == inf:\n    print(\"No\")\nelse:\n    print(ans)",
                "from collections import defaultdict\nfrom heapq import heappush, heappop\n\nN, M = map(int, input().split())\n\ngraph = defaultdict(dict)\n\nfor _ in range(M):\n    U, V, W = map(int, input().split())\n    graph[U][V] = W\n\ndist = [float(\"inf\")] * (N + 1)\ndist[1] = 0\n\npq = [(0, 1)]\n\nwhile pq:\n    cost, node = heappop(pq)\n    if node not in graph:\n        print(cost)\n        break\n    for next_node, edge_cost in graph[node].items():\n        if dist[next_node] > cost + edge_cost:\n            dist[next_node] = cost + edge_cost\n            heappush(pq, (dist[next_node], next_node))\nelse:\n    print(\"No\")",
                "from collections import defaultdict\nfrom heapq import heappush, heappop\n\nn, m = map(int, input().split())\ngraph = defaultdict(list)\nfor _ in range(m):\n    u, v, w = map(int, input().split())\n    graph[u].append((v, w))\n\ninf = float(\"inf\")\ndist = [inf] * n\ndist[0] = 0\n\nq = [(0, 0)]\nwhile q:\n    w, v = heappop(q)\n    if dist[v] < w:\n        continue\n    for nv, nw in graph[v]:\n        heappush(q, (w + nw, nv))\n        dist[nv] = min(dist[nv], w + nw)\n\nif max(dist) == inf:\n    print(\"No\")\nelse:\n    print(sum(dist) - n)",
                "from collections import defaultdict\nimport sys\n\ninput = sys.stdin.readline\n\nn, m = list(map(int, input().split()))\n\ngraph = defaultdict(dict)\nfor _ in range(m):\n    u, v, w = list(map(int, input().split()))\n    graph[u][v] = w\n\ninf = 10**18\ndp = [[inf] * n for _ in range(1 << n)]\ndp[0][0] = 0\n\nfor i in range(n):\n    dp[1][i] = graph[0][i]\n\nfor s in range(1, 1 << n):\n    for i in range(n):\n        if dp[s][i] == inf:\n            continue\n        for j in range(n):\n            if s >> j & 1:\n                continue\n            dp[s | 1 << j][j] = min(dp[s | 1 << j][j], dp[s][i] + graph[i][j])\n\nans = inf\nfor i in range(n):\n    ans = min(ans, dp[-1][i])\n\nif ans == inf:\n    print(\"No\")\nelse:\n    print(ans)",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\nedges = defaultdict(list)\nfor _ in range(m):\n    u, v, w = map(int, input().split())\n    edges[u].append((v, w))\n\ninf = float(\"inf\")\ndp = [[inf] * n for _ in range(1 << n)]\ndp[0][0] = 0\nfor mask in range(1 << n):\n    for i in range(n):\n        if mask >> i & 1:\n            for j, w in edges[i + 1]:\n                dp[mask | 1 << j][j] = min(dp[mask | 1 << j][j], dp[mask][i] + w)\n\nans = inf\nfor i in range(n):\n    ans = min(ans, dp[(1 << n) - 1][i])\nprint(ans if ans < inf else \"No\")",
                "from collections import defaultdict\n\nn, m = map(int, input().split())\nuvw = [list(map(int, input().split())) for _ in range(m)]\n\ngraph = defaultdict(list)\nfor u, v, w in uvw:\n    graph[u].append((v, w))\n\ninf = float(\"inf\")\ndp = [[inf] * n for _ in range(1 << n)]\ndp[0][0] = 0\n\nfor i in range(1 << n):\n    for j in range(n):\n        if dp[i][j] == inf:\n            continue\n        for k, w in graph[j + 1]:\n            if i >> k & 1:\n                continue\n            dp[i | 1 << k][k] = min(dp[i | 1 << k][k], dp[i][j] + w)\n\nans = inf\nfor i in range(1 << n):\n    for j in range(n):\n        ans = min(ans, dp[i][j])\n\nif ans == inf:\n    print(\"No\")\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = [[] for i in range(N)]\nfor i in range(M):\n    U, V, W = list(map(int, input().split()))\n    U -= 1\n    V -= 1\n    graph[U].append((V, W))\n\nINF = 10**9\ndp = [[INF] * N for i in range(1 << N)]\n\ndp[0][0] = 0\n\nfor S in range(1 << N):\n    for i in range(N):\n        if S >> i & 1:\n            for j, w in graph[i]:\n                dp[S | 1 << j][j] = min(dp[S | 1 << j][j], dp[S][i] + w)\n\nans = INF\nfor i in range(N):\n    ans = min(ans, dp[(1 << N) - 1][i])\n\nif ans == INF:\n    print(\"No\")\nelse:\n    print(ans)",
                "from collections import defaultdict\nimport sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = defaultdict(dict)\n\nfor _ in range(M):\n    u, v, w = list(map(int, input().split()))\n    graph[u][v] = w\n\ndp = [[float(\"inf\")] * N for _ in range(1 << N)]\ndp[0][0] = 0\n\nfor S in range(1 << N):\n    for u in range(N):\n        if S >> u & 1:\n            for v in graph[u + 1]:\n                dp[S | (1 << v)][v] = min(dp[S | (1 << v)][v], dp[S][u] + graph[u + 1][v])\n\nans = float(\"inf\")\nfor u in range(N):\n    ans = min(ans, dp[(1 << N) - 1][u])\n\nif ans == float(\"inf\"):\n    print(\"No\")\nelse:\n    print(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nprint(s.split(\".\")[-1])",
                "s = input()\nprint(s.rpartition(\".\")[2])",
                "s = input()\nprint(s.rpartition(\".\")[2])",
                "s = input()\nprint(s.split(\".\")[-1])",
                "s = input()\nprint(s.split(\".\")[-1])",
                "s = input()\nprint(s.rpartition(\".\")[2])",
                "s = input()\nprint(s.split(\".\")[-1])",
                "s = input()\nprint(s.split(\".\")[-1])",
                "s = input()\nprint(s.split(\".\")[-1])",
                "s = input()\nprint(s.split(\".\")[-1])"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "(h, w, n) = map(int, input().split())\nx = 0\ny = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n            y += 1\n        elif d == 1:\n            d = 0\n            x += 1\n        elif d == 2:\n            d = 1\n            y -= 1\n        else:\n            d = 3\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        if d == 0:\n            d = 1\n            y -= 1\n        elif d == 1:\n            d = 2\n            x -= 1\n        elif d == 2:\n            d = 3\n            y += 1\n        else:\n            d = 0\n            x += 1\n    y = y % h\n    x = x % w\nfor i in range(h):\n    print(\"\".join(grid[i]))",
                "(h, w, n) = map(int, input().split())\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nx = y = 0\ndx = -1\ndy = 0\nfor _ in range(n):\n    nx = x + dx\n    ny = y + dy\n    grid[ny][nx] = \"#\" if grid[ny][nx] == \".\" else \".\"\n    x = nx\n    y = ny\n    if grid[y][x] == \".\":\n        dx, dy = dy, -dx\n    else:\n        dx, dy = -dy, dx\nfor row in grid:\n    print(\"\".join(row))",
                "(h, w, n) = map(int, input().split())\nx = 0\ny = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n            y += 1\n        elif d == 1:\n            d = 0\n            x += 1\n        elif d == 2:\n            d = 1\n            y -= 1\n        else:\n            d = 3\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        if d == 0:\n            d = 1\n            y -= 1\n        elif d == 1:\n            d = 2\n            x -= 1\n        elif d == 2:\n            d = 3\n            y += 1\n        else:\n            d = 0\n            x += 1\nfor i in range(h):\n    for j in range(w):\n        if j == w - 1:\n            print(grid[i][j], end=\"\\n\")\n        else:\n            print(grid[i][j], end=\"\")",
                "(h, w, n) = map(int, input().split())\ngrid = [[\".\"] * w for _ in range(h)]\nx = y = 0\nd = 0\nfor _ in range(n):\n    if grid[x][y] == \".\":\n        grid[x][y] = \"#\"\n    else:\n        grid[x][y] = \".\"\n    if d == 0:\n        x -= 1\n    elif d == 1:\n        y += 1\n    elif d == 2:\n        x += 1\n    else:\n        y -= 1\n    d = (d + 1) % 4\n    if x < 0:\n        x = h - 1\n    elif x == h:\n        x = 0\n    if y < 0:\n        y = w - 1\n    elif y == w:\n        y = 0\nfor row in grid:\n    print(\"\".join(row))",
                "(h, w, n) = map(int, input().split())\ngrid = [[0] * w for _ in range(h)]\n(x, y, d) = (0, 0, 0)\nfor _ in range(n):\n    grid[x][y] = 1 - grid[x][y]\n    if d == 0:\n        x -= 1\n        d = 3\n    elif d == 1:\n        y += 1\n        d = 0\n    elif d == 2:\n        x += 1\n        d = 1\n    else:\n        y -= 1\n        d = 2\n    if x < 0:\n        x = h - 1\n    elif x == h:\n        x = 0\n    if y < 0:\n        y = w - 1\n    elif y == w:\n        y = 0\nfor row in grid:\n    print(\"\".join([\"#\" if cell else \".\" for cell in row]))",
                "(h, w, n) = map(int, input().split())\nx = 0\ny = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n            y += 1\n        elif d == 1:\n            d = 0\n            x += 1\n        elif d == 2:\n            d = 1\n            y -= 1\n        else:\n            d = 3\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        if d == 0:\n            d = 1\n            y += 1\n        elif d == 1:\n            d = 2\n            x += 1\n        elif d == 2:\n            d = 3\n            y -= 1\n        else:\n            d = 0\n            x -= 1\n    y %= h\n    x %= w\nfor row in grid:\n    print(\"\".join(row))",
                "(h, w, n) = map(int, input().split())\nx = 0\ny = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n            y += 1\n        elif d == 1:\n            d = 0\n            x += 1\n        elif d == 2:\n            d = 1\n            y -= 1\n        else:\n            d = 3\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        if d == 0:\n            d = 1\n            y -= 1\n        elif d == 1:\n            d = 2\n            x -= 1\n        elif d == 2:\n            d = 3\n            y += 1\n        else:\n            d = 0\n            x += 1\n    y %= h\n    x %= w\nfor row in grid:\n    print(\"\".join(row))",
                "(h, w, n) = map(int, input().split())\nx = y = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[y][x] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n        else:\n            d -= 1\n        if d == 0:\n            y += 1\n        elif d == 1:\n            x += 1\n        elif d == 2:\n            y -= 1\n        else:\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        d += 1\n        if d > 3:\n            d = 0\n        if d == 0:\n            y += 1\n        elif d == 1:\n            x += 1\n        elif d == 2:\n            y -= 1\n        else:\n            x -= 1\n    if x < 0:\n        x = w - 1\n    elif x == w:\n        x = 0\n    if y < 0:\n        y = h - 1\n    elif y == h:\n        y = 0\nfor row in grid:\n    print(\"\".join(row))",
                "(h, w, n) = map(int, input().split())\nx = 0\ny = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n            y += 1\n        elif d == 1:\n            d = 0\n            x += 1\n        elif d == 2:\n            d = 1\n            y -= 1\n        else:\n            d = 3\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        if d == 0:\n            d = 1\n            y -= 1\n        elif d == 1:\n            d = 2\n            x -= 1\n        elif d == 2:\n            d = 3\n            y += 1\n        else:\n            d = 0\n            x += 1\n    y %= h\n    x %= w\nfor row in grid:\n    print(\"\".join(row))",
                "(h, w, n) = map(int, input().split())\nx = 0\ny = 0\nd = 0\ngrid = [[\".\"] * w for _ in range(h)]\ngrid[0][0] = \"#\"\nfor _ in range(n):\n    if grid[y][x] == \".\":\n        grid[y][x] = \"#\"\n        if d == 0:\n            d = 3\n            y += 1\n        elif d == 1:\n            d = 0\n            x += 1\n        elif d == 2:\n            d = 1\n            y -= 1\n        else:\n            d = 3\n            x -= 1\n    else:\n        grid[y][x] = \".\"\n        if d == 0:\n            d = 2\n            y -= 1\n        elif d == 1:\n            d = 3\n            x -= 1\n        elif d == 2:\n            d = 0\n            x += 1\n        else:\n            d = 1\n            y += 1\n    y %= h\n    x %= w\nfor row in grid:\n    print(\"\".join(row))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in a:\n    ans += i\n    ans = max(ans, 0)\nprint(ans)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\ns = [input() for i in range(n)]\r\np = [(i, j) for i in range(n) for j in range(n) if s[i][j] == \"P\"]\r\n\r\n\r\ndef bfs():\r\n    q = [(0, p[0], p[1])]\r\n    d = {(0, p[0], p[1]) : 0}\r\n    while q:\r\n        dq, x, y = q.pop(0)\r\n        for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\r\n            nx, ny = x + dx, y + dy\r\n            if 0 <= nx < n and 0 <= ny < n and s[nx][ny] == \".\":\r\n                if (dq + 1, nx, ny) not in d:\r\n                    d[(dq + 1, nx, ny)] = dq + 1\r\n                    q.append((dq + 1, nx, ny))\r\n    return d.get((d[q[0]], p[1], p[0]))\r\n\r\nprint(-1 if bfs() is None else bfs())\r",
                "n = int(input())\r\ngrid = [input() for _ in range(n)]\r\n\r\np1, p2 = None, None\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if grid[i][j] == \"P\":\r\n            if p1 is None:\r\n                p1 = (i, j)\r\n            else:\r\n                p2 = (i, j)\r\n\r\ndist = [[float(\"inf\")] * n for _ in range(n)]\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if grid[i][j] == \".\":\r\n            dist[i][j] = 0\r\n\r\ndx = [0, 0, 1, -1]\r\ndy = [1, -1, 0, 0]\r\n\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if grid[i][j] == \".\":\r\n            for k in range(4):\r\n                nx, ny = i + dx[k], j + dy[k]\r\n                if 0 <= nx < n and 0 <= ny < n:\r\n                    dist[i][j] = max(dist[i][j], dist[nx][ny] + 1)\r\n\r\nans = dist[p1[0]][p1[1]] + dist[p2[0]][p2[1]]\r\nif ans == float(\"inf\"):\r\n    ans = -1\r\nprint(ans)\r",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nS = [input() for _ in range(N)]\n\nP = []\nfor i in range(N):\n    for j in range(N):\n        if S[i][j] == \"P\":\n            P.append((i, j))\n\ndx = [0, 0, -1, 1]\ndy = [-1, 1, 0, 0]\n\nans = float(\"inf\")\nfor i in range(4):\n    nx = P[0][0] + dx[i]\n    ny = P[0][1] + dy[i]\n    if 0 <= nx < N and 0 <= ny < N and S[nx][ny] == \".\":\n        P[0] = (nx, ny)\n    for j in range(4):\n        nx = P[1][0] + dx[j]\n        ny = P[1][1] + dy[j]\n        if 0 <= nx < N and 0 <= ny < N and S[nx][ny] == \".\":\n            P[1] = (nx, ny)\n        if P[0] == P[1]:\n            ans = min(ans, abs(dx[i] + dx[j]) + abs(dy[i] + dy[j]))\n        P[1] = (P[1][0], P[1][1])\n    P[0] = (P[0][0], P[0][1])\n\nif ans == float(\"inf\"):\n    ans = -1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\ngrid = [input().rstrip() for _ in range(N)]\n\nstart1 = [-1, -1]\nstart2 = [-1, -1]\nfor i in range(N):\n    for j in range(N):\n        if grid[i][j] == \"P\":\n            if start1 == [-1, -1]:\n                start1 = [i, j]\n            else:\n                start2 = [i, j]\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\ndist = [[float(\"inf\") for _ in range(N)] for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        if grid[i][j] == \"#\":\n            dist[i][j] = -2\n\nq = [(start1[0], start1[1])]\ndist[start1[0]][start1[1]] = 0\nwhile q:\n    y, x = q.pop(0)\n    for k in range(4):\n        ny = y + dy[k]\n        nx = x + dx[k]\n        if 0 <= ny < N and 0 <= nx < N:\n            if dist[ny][nx] == float(\"inf\"):\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx))\n\nans = dist[start2[0]][start2[1]]\nif ans == float(\"inf\"):\n    ans = -1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\ngrid = [input().rstrip() for _ in range(N)]\n\nstart1 = [i for i in range(N) for j in range(N) if grid[i][j] == \"P\"][0]\nstart2 = [i for i in range(N) for j in range(N) if grid[i][j] == \"P\"][1]\n\ndist = [[0] * N for _ in range(N)]\nfor i in range(N):\n    for j in range(N):\n        if grid[i][j] == \"#\":\n            dist[i][j] = -1\n\nq = [(start1 // N, start1 % N)]\ndist[start1 // N][start1 % N] = 0\nwhile q:\n    y, x = q.pop(0)\n    for dy, dx in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < N and 0 <= nx < N:\n            if dist[ny][nx] == -1:\n                continue\n            if dist[ny][nx] == -2:\n                print(dist[y][x] + 1)\n                exit()\n            dist[ny][nx] = max(dist[ny][nx], dist[y][x] + 1)\n            q.append((ny, nx))\n\nprint(-1)",
                "n = int(input())\r\ngrid = [input() for _ in range(n)]\r\n\r\nplayer_positions = []\r\nfor i in range(n):\r\n    for j in range(n):\r\n        if grid[i][j] == \"P\":\r\n            player_positions.append((i, j))\r\n\r\ndef get_moves(start, end):\r\n    moves = 0\r\n    x1, y1 = start\r\n    x2, y2 = end\r\n    if x1 < x2:\r\n        for i in range(x1, x2):\r\n            if grid[i][y1] != \".\":\r\n                return -1\r\n        moves += x2 - x1\r\n    elif x1 > x2:\r\n        for i in range(x2, x1):\r\n            if grid[i][y1] != \".\":\r\n                return -1\r\n        moves += x1 - x2\r\n    if y1 < y2:\r\n        for i in range(y1, y2):\r\n            if grid[x1][i] != \".\":\r\n                return -1\r\n        moves += y2 - y1\r\n    elif y1 > y2:\r\n        for i in range(y2, y1):\r\n            if grid[x1][i] != \".\":\r\n                return -1\r\n        moves += y1 - y2\r\n    return moves\r\n\r\ndef get_min_moves(start, end):\r\n    return min(\r\n        get_moves(start, end),\r\n        get_moves(end, start),\r\n        get_moves((n - 1 - start[0], start[1]), end),\r\n        get_moves(end, (n - 1 - start[0], start[1])),\r\n        get_moves(start, (n - 1 - end[0], end[1])),\r\n        get_moves((n - 1 - end[0], end[1]), start),\r\n        get_moves((n - 1 - start[0], start[1]), (n - 1 - end[0], end[1])),\r\n        get_moves((n - 1 - end[0], end[1]), (n - 1 - start[0], start[1])),\r\n    )\r\n\r\nprint(get_min_moves(player_positions[0], player_positions[1]))\r",
                "n = int(input())\r\ngrid = [input() for _ in range(n)]\r\n\r\nplayers = [(i, j) for i, row in enumerate(grid) for j, c in enumerate(row) if c == \"P\"]\r\n\r\nif len(players) != 2:\r\n    raise ValueError(\"Exactly two players should be on the grid.\")\r\n\r\nplayer1, player2 = players\r\n\r\n\r\ndef get_empty_neighbors(i, j):\r\n    neighbors = []\r\n    if i > 0 and grid[i - 1][j] == \".\":\r\n        neighbors.append((i - 1, j))\r\n    if i < n - 1 and grid[i + 1][j] == \".\":\r\n        neighbors.append((i + 1, j))\r\n    if j > 0 and grid[i][j - 1] == \".\":\r\n        neighbors.append((i, j - 1))\r\n    if j < n - 1 and grid[i][j + 1] == \".\":\r\n        neighbors.append((i, j + 1))\r\n    return neighbors\r\n\r\n\r\ndef get_distance(player1, player2):\r\n    dist = 0\r\n    while player1 != player2:\r\n        if player1[0] < player2[0]:\r\n            player1 = (player1[0] + 1, player1[1])\r\n        elif player1[0] > player2[0]:\r\n            player1 = (player1[0] - 1, player1[1])\r\n        if player1[1] < player2[1]:\r\n            player1 = (player1[0], player1[1] + 1)\r\n        elif player1[1] > player2[1]:\r\n            player1 = (player1[0], player1[1] - 1)\r\n        dist += 1\r\n    return dist\r\n\r\n\r\ndef get_min_distance():\r\n    min_dist = float(\"inf\")\r\n    for i, j in get_empty_neighbors(*player1):\r\n        for x, y in get_empty_neighbors(i, j):\r\n            min_dist = min(min_dist, get_distance((i, j), (x, y)))\r\n    return min_dist\r\n\r\n\r\nprint(get_min_distance())\r",
                "from collections import deque\n\nN = int(input())\ngrid = [input() for _ in range(N)]\n\nplayer_positions = []\nfor i in range(N):\n    for j in range(N):\n        if grid[i][j] == \"P\":\n            player_positions.append((i, j))\n\nstart_x, start_y = player_positions[0]\nend_x, end_y = player_positions[1]\n\ndirections = [(0, 1), (0, -1), (1, 0), (-1, 0)]\n\nvisited = [[False] * N for _ in range(N)]\nqueue = deque([(start_x, start_y, 0)])\nvisited[start_x][start_y] = True\n\nwhile queue:\n    x, y, distance = queue.popleft()\n    if x == end_x and y == end_y:\n        print(distance)\n        exit()\n\n    for dx, dy in directions:\n        new_x, new_y = x + dx, y + dy\n        if 0 <= new_x < N and 0 <= new_y < N and grid[new_x][new_y] == \".\":\n            if not visited[new_x][new_y]:\n                visited[new_x][new_y] = True\n                queue.append((new_x, new_y, distance + 1))\n\nprint(-1)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\ngrid = [input().rstrip() for _ in range(N)]\n\nstart1 = [-1, -1]\nstart2 = [-1, -1]\n\nfor i in range(N):\n    for j in range(N):\n        if grid[i][j] == \"P\":\n            if start1 == [-1, -1]:\n                start1 = [i, j]\n            else:\n                start2 = [i, j]\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\n\ndef bfs(start1, start2):\n    q = [(start1[0], start1[1], 0)]\n    visited = [[False] * N for _ in range(N)]\n    visited[start1[0]][start1[1]] = True\n    while q:\n        x, y, d = q.pop(0)\n        for i in range(4):\n            nx = x + dx[i]\n            ny = y + dy[i]\n            if 0 <= nx < N and 0 <= ny < N:\n                if grid[nx][ny] == \".\":\n                    if [nx, ny] == [start2[0], start2[1]]:\n                        return d + 1\n                    if not visited[nx][ny]:\n                        visited[nx][ny] = True\n                        q.append((nx, ny, d + 1))\n\n\nans = 10**9\nfor i in range(N):\n    for j in range(N):\n        if grid[i][j] == \".\":\n            temp = bfs([i, j], start1)\n            if temp != None:\n                ans = min(ans, temp)\n            temp = bfs([i, j], start2)\n            if temp != None:\n                ans = min(ans, temp)\n\nif ans == 10**9:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nS = [input().rstrip() for _ in range(N)]\n\nP = []\nfor i in range(N):\n    for j in range(N):\n        if S[i][j] == \"P\":\n            P.append((i, j))\n\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\n\nans = 10**9\nfor i in range(4):\n    nx = P[0][0] + dx[i]\n    ny = P[0][1] + dy[i]\n    if 0 <= nx < N and 0 <= ny < N and S[nx][ny] == \".\":\n        for j in range(4):\n            n2x = P[1][0] + dx[j]\n            n2y = P[1][1] + dy[j]\n            if 0 <= n2x < N and 0 <= n2y < N and S[n2x][n2y] == \".\":\n                ans = min(ans, abs(nx - n2x) + abs(ny - n2y))\n\nif ans == 10**9:\n    ans = -1\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b, d = map(int, input().split())\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\n\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\n\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\n\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\n\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r",
                "a, b, d = map(int, input().split())\r\n\r\nfor i in range(a, b + 1, d):\r\n    print(i, end=\" \")\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        a.append(int(s[1]))\n    else:\n        print(a[-int(s[1])])",
                "n = int(input())\na = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        a.append(int(s[1]))\n    else:\n        print(a[-int(s[1])])",
                "n = int(input())\nl = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        l.append(int(s[1]))\n    else:\n        print(l[-int(s[1])])",
                "n = int(input())\na = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        a.append(int(s[1]))\n    else:\n        print(a[-int(s[1])])",
                "n = int(input())\nA = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        A.append(int(s[1]))\n    else:\n        print(A[-int(s[1])])",
                "n = int(input())\nA = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        A.append(int(s[1]))\n    else:\n        print(A[-int(s[1])])",
                "n = int(input())\na = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        a.append(int(s[1]))\n    else:\n        print(a[-int(s[1])])",
                "n = int(input())\na = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        a.append(int(s[1]))\n    else:\n        print(a[-int(s[1])])",
                "n = int(input())\nl = []\nfor i in range(n):\n    s = input().split()\n    if s[0] == \"1\":\n        l.append(int(s[1]))\n    else:\n        print(l[-int(s[1])])",
                "n = int(input())\r\nA = []\r\nfor i in range(n):\r\n    s = input().split()\r\n    if s[0] == \"1\":\r\n        A.append(int(s[1]))\r\n    else:\r\n        print(A[-int(s[1])])\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = n // 2 + n % 2\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = (n + 1) // 2\nprint(ans)",
                "n = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = n // 2 + n % 2\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nans = 0\nwhile n > 1:\n    ans += n\n    n = n // 2 + n % 2\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ndp = [0] * (n + 1)\nfor i in range(n - 1):\n    a, b, x = map(int, input().split())\n    dp[x] = min(dp[i + 1] + b, dp[x])\n    dp[i + 1] = min(dp[i + 1], dp[i] + a)\nprint(dp[n])",
                "from heapq import heappop, heappush\n\nN = int(input())\nABX = [list(map(int, input().split())) for _ in range(N - 1)]\n\nINF = float(\"inf\")\ndp = [INF] * (N + 1)\ndp[1] = 0\n\nfor A, B, X in ABX:\n    dp[X] = min(dp[X], dp[1] + B)\n\nfor A, B, X in ABX:\n    dp[X + 1] = min(dp[X + 1], dp[1] + A)\n\nfor i in range(2, N):\n    for A, B, X in ABX:\n        if i < X:\n            dp[X] = min(dp[X], dp[i] + B)\n        if i + 1 < X:\n            dp[X + 1] = min(dp[X + 1], dp[i] + A)\n\nprint(dp[N])",
                "n = int(input())\ndp = [0] * (n + 1)\nfor i in range(n - 1):\n    a, b, x = map(int, input().split())\n    dp[x] = min(dp[x], dp[i + 1] + b)\n    dp[i + 1] = min(dp[i + 1], dp[i] + a)\nprint(dp[n])",
                "n = int(input())\ndp = [0] * (n + 1)\nfor i in range(n - 1):\n    a, b, x = map(int, input().split())\n    dp[x] = min(dp[x], dp[i + 1] + b)\n    dp[i + 1] = min(dp[i + 1], dp[i] + a)\nprint(dp[n])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\ndata = [tuple(map(int, input().split())) for _ in range(N - 1)]\n\ndp = [0] * (N + 1)\n\nfor A, B, X in data:\n    dp[X] = min(dp[X], dp[X - 1] + B)\n    dp[X - 1] = min(dp[X - 1], dp[X - 2] + A)\n\nprint(dp[N - 1])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nABX = [list(map(int, input().split())) for i in range(N - 1)]\n\nINF = 10**18\n\ndp = [INF] * (N + 1)\ndp[1] = 0\n\nfor A, B, X in ABX:\n    dp[X] = min(dp[X], B)\n\nfor A, B, X in ABX:\n    dp[X] = min(dp[X], dp[X - 1] + A)\n\nprint(dp[N])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\ndata = [list(map(int, input().split())) for i in range(N - 1)]\n\ndp = [0] * (N + 1)\n\nfor i in range(N - 1):\n    A, B, X = data[i]\n    dp[X] = min(dp[i + 1] + B, dp[X])\n    dp[i + 2] = min(dp[i + 1] + A, dp[i + 2])\n\nprint(dp[N])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nABX = [list(map(int, input().split())) for i in range(N - 1)]\n\nINF = 10**10\n\ndp = [INF] * (N + 1)\ndp[1] = 0\n\nfor A, B, X in ABX:\n    dp[X] = min(dp[X], B)\n\nfor A, B, X in ABX:\n    dp[X + 1] = min(dp[X + 1], dp[X] + A, dp[1] + A)\n\nprint(dp[N])",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\nABX = [list(map(int, input().split())) for i in range(N - 1)]\n\nINF = float(\"inf\")\n\ndp = [INF] * N\ndp[0] = 0\n\nfor A, B, X in ABX:\n    dp[X - 1] = min(dp[X - 1], B)\n    dp[1] = min(dp[1], A)\n    for i in range(N - 2, -1, -1):\n        dp[i + 1] = min(dp[i + 1], dp[i] + A)\n        dp[X - 1] = min(dp[X - 1], dp[i] + B)\n\nprint(dp[N - 1])",
                "n = int(input())\ndp = [float(\"inf\")] * (n + 1)\ndp[1] = 0\nfor i in range(n - 1):\n    a, b, x = map(int, input().split())\n    dp[i + 1] = min(dp[i + 1], dp[i] + a)\n    dp[x] = min(dp[x], dp[i] + b)\nprint(dp[n])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nfor i in range(m):\n    a[b[i]] -= 1\n    for j in range(1, n):\n        a[(b[i] + j) % n] += 1\n        if a[b[i]] == 0:\n            break\n\nprint(*a)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = [0] * n\nfor i in range(m):\n    x = b[i]\n    y = a[x]\n    a[x] = 0\n    while y > 0:\n        c[x] += y\n        x = (x + 1) % n\n        y -= 1\nfor i in range(n):\n    a[i] += c[i]\nprint(*a)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nfor i in range(m):\n    a[b[i]] -= 1\n    j = b[i]\n    while a[j] < 0:\n        a[j] += n\n        j += 1\n        a[j] -= 1\n\nprint(\" \".join(map(str, a)))",
                "def main():\n    (n, m) = map(int, input().split())\n    a = list(map(int, input().split()))\n    b = list(map(int, input().split()))\n    c = [0] * n\n    for i in range(m):\n        x = a[b[i]]\n        a[b[i]] = 0\n        j = b[i]\n        while x:\n            c[j] += 1\n            j = (j + 1) % n\n            x -= 1\n    for i in range(n):\n        a[i] += c[i]\n    print(*a)\n\n\nmain()",
                "def main():\n    (n, m) = map(int, input().split())\n    a = list(map(int, input().split()))\n    b = list(map(int, input().split()))\n    c = [0] * n\n    for i in b:\n        c[i] += 1\n    for i in range(n):\n        if c[i] > 0:\n            a[i] += a[i - 1] - a[i] * c[i]\n            a[i] %= 10**9 + 7\n    print(*a)\n\n\nmain()",
                "from collections import deque\n\nN, M = map(int, input().split())\nA = list(map(int, input().split()))\nB = list(map(int, input().split()))\n\nbox = [0] * N\nfor a in A:\n    box[0] += a\n\nfor b in B:\n    c = 0\n    while box[b]:\n        c += 1\n        box[b] -= 1\n        box[(b + c) % N] += 1\n\nprint(*box)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = [0] * n\nfor i in range(m):\n    x = b[i]\n    y = a[x]\n    a[x] = 0\n    while y > 0:\n        c[x] += y\n        x = (x + 1) % n\n        y -= 1\nfor i in range(n):\n    a[i] += c[i]\nprint(*a)",
                "from collections import defaultdict\n\n(n, m) = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nd = defaultdict(int)\nfor i in range(m):\n    x = b[i]\n    c = 0\n    while a[x] > 0:\n        d[x + c] += 1\n        a[x] -= 1\n        c += 1\nfor i in range(n):\n    a[i] += d[i]\nprint(*a)",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = [0] * n\nfor i in b:\n    c[i] += 1\nfor i in range(n):\n    a[i] -= c[i]\nfor i in range(n):\n    s = 0\n    for j in range(n):\n        if c[j] > 0:\n            s += a[j]\n            a[j] = 0\n            c[j] -= 1\n            if c[j] == 0:\n                a[(j + 1) % n] += s\n                break\nprint(*a)",
                "import sys\n\ninput = sys.stdin.readline\n(N, M) = map(int, input().split())\nA = list(map(int, input().split()))\nB = list(map(int, input().split()))\nC = [0] * N\nfor b in B:\n    x = A[b]\n    A[b] = 0\n    while x:\n        C[(b + C[b]) % N] += 1\n        C[b] += 1\n        x -= 1\nfor i in range(N):\n    A[i] += C[i]\nprint(*A)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nprint(\"\".join([\"10\" for i in range(n)]), end=\"1\")",
                "n = int(input())\r\nprint(\"\".join([\"10\" for i in range(n)]), end=\"1\")",
                "n = int(input())\r\nprint(\"\".join([\"10\" for i in range(n)]), end=\"1\")",
                "n = int(input())\ns = \"1\"\nfor i in range(n):\n    s += \"01\"\nprint(s)",
                "n = int(input())\r\nprint(1, end=\"\")\r\nfor i in range(n):\r\n    print(0, 1, end=\"\")\r",
                "n = int(input())\nprint(\"\".join([\"10\" for i in range(n)] + [\"1\"]))",
                "n = int(input())\r\nprint(\"\".join([\"10\" for i in range(n)]), end=\"1\")",
                "n = int(input())\r\n\r\ns = \"1\"\r\nfor i in range(n):\r\n    s += \"01\"\r\nprint(s)",
                "n = int(input())\r\ns = \"1\"\r\nfor i in range(n):\r\n    s += \"01\"\r\nprint(s)",
                "n = int(input())\r\nprint(\"\".join([\"10\" for i in range(n)] + [\"1\"]))"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\nST.sort(key=lambda x: x[1] / x[0], reverse=True)\n\nfor s, t in ST:\n    if A[0] >= s:\n        A[0] = t\n        A[1] += A[0] - s\n\nprint(A[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\ndp = [0] * N\ndp[0] = A[0]\nfor i in range(N - 1):\n    s, t = ST[i]\n    if dp[i] >= s:\n        dp[i + 1] = max(dp[i + 1], dp[i] // s * t + A[i + 1])\nprint(dp[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nS = [0]\nT = [0]\nfor i in range(N - 1):\n    s, t = list(map(int, input().split()))\n    S.append(s)\n    T.append(t)\n\ndp = [0] * N\ndp[0] = A[0]\nfor i in range(1, N):\n    dp[i] = A[i]\n    for j in range(i):\n        if S[j] <= dp[j]:\n            dp[i] += max(0, (dp[j] // S[j]) * T[j] - S[j])\nprint(dp[-1])",
                "from sys import stdin, stdout\n\ninput = stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\ndp = [0] * N\ndp[0] = A[0]\nfor i in range(N - 1):\n    s, t = ST[i]\n    for j in range(i, -1, -1):\n        if dp[j] >= s:\n            dp[j + 1] = max(dp[j + 1], dp[j] - s + t)\nprint(max(A[-1], dp[-1]))",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\ndp = [0] * N\ndp[0] = A[0]\nfor i in range(N - 1):\n    s, t = ST[i]\n    if dp[i] >= s:\n        dp[i + 1] = max(dp[i], dp[i - 1] + t)\n    else:\n        dp[i + 1] = dp[i - 1]\nprint(dp[-1] + A[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nS = []\nT = []\nfor i in range(N - 1):\n    s, t = map(int, input().split())\n    S.append(s)\n    T.append(t)\n\ndp = [0] * N\ndp[0] = A[0]\nfor i in range(N - 2, -1, -1):\n    dp[i] = A[i]\n    for j in range(i, N - 1):\n        dp[i] = max(dp[i], dp[j] // S[j] * T[j])\n\nprint(dp[-1] + A[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nS = []\nT = []\nfor i in range(N - 1):\n    s, t = map(int, input().split())\n    S.append(s)\n    T.append(t)\n\ndp = [0] * N\ndp[0] = A[0]\nfor i in range(N - 2, -1, -1):\n    dp[i] = A[i]\n    for j in range(i, N - 1):\n        if S[j] <= dp[i]:\n            dp[j + 1] = max(dp[j + 1], dp[i] + T[j])\nprint(dp[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\nST.reverse()\ndp = A.copy()\nfor s, t in ST:\n    for i in range(N - 2, -1, -1):\n        if dp[i] >= s:\n            dp[i + 1] = max(dp[i + 1], dp[i] - s + t)\nprint(dp[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\nST.reverse()\ndp = A.copy()\nfor s, t in ST:\n    for i in range(N - 2, -1, -1):\n        if dp[i] >= s:\n            dp[i + 1] += (dp[i] - s) // s * t\nprint(dp[-1])",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nST = [list(map(int, input().split())) for i in range(N - 1)]\nST.sort(key=lambda x: x[1] / x[0], reverse=True)\n\nfor s, t in ST:\n    if A[0] >= s:\n        A[0] = t\n        A[1] += A[0] - s\n\nprint(A[-1])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef main():\n    h, w, n = map(int, input().split())\n    t = input().strip()\n    s = [input() for _ in range(h)]\n    x, y = 0, 0\n    for i in range(n):\n        if t[i] == \"L\":\n            x -= 1\n        elif t[i] == \"R\":\n            x += 1\n        elif t[i] == \"U\":\n            y -= 1\n        else:\n            y += 1\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            if s[i][j] == \".\":\n                if x == i and y == j:\n                    ans += 1\n    print(ans)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n(h, w, n) = map(int, input().split())\nt = input().strip()\ns = [input().strip() for _ in range(h)]\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\nans = 0\n\n\ndef isValid(x, y):\n    return 0 <= x < w and 0 <= y < h and s[y][x] == \".\"\n\n\nfor i in range(w):\n    for j in range(h):\n        if not isValid(i, j):\n            continue\n        x, y = i, j\n        for k in t:\n            if k == \"L\":\n                x += dx[0]\n            elif k == \"R\":\n                x += dx[1]\n            elif k == \"U\":\n                y += dy[0]\n            else:\n                y += dy[1]\n            if not isValid(x, y):\n                break\n        else:\n            ans += 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve():\n    h, w, n = map(int, input().split())\n    t = input().strip()\n    s = [input() for _ in range(h)]\n    dp = [[0] * w for _ in range(h)]\n    for i in range(h):\n        for j in range(w):\n            if s[i][j] == \".\":\n                dp[i][j] = 1\n    for i in range(n):\n        if t[i] == \"L\":\n            for j in range(h):\n                for k in range(w):\n                    if dp[j][k] and k > 0:\n                        dp[j][k - 1] = 1\n        elif t[i] == \"R\":\n            for j in range(h):\n                for k in range(w):\n                    if dp[j][k] and k < w - 1:\n                        dp[j][k + 1] = 1\n        elif t[i] == \"U\":\n            for j in range(h):\n                for k in range(w):\n                    if dp[j][k] and j > 0:\n                        dp[j - 1][k] = 1\n        else:\n            for j in range(h):\n                for k in range(w):\n                    if dp[j][k] and j < h - 1:\n                        dp[j + 1][k] = 1\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            if dp[i][j]:\n                ans += 1\n    print(ans)\n\n\nsolve()",
                "from collections import deque\n\n(h, w, n) = map(int, input().split())\nt = input()\ns = [input() for _ in range(h)]\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\nans = 0\nfor i in range(1, h - 1):\n    for j in range(1, w - 1):\n        if s[i][j] == \".\":\n            x = i\n            y = j\n            for k in range(n):\n                if t[k] == \"L\":\n                    y -= 1\n                elif t[k] == \"R\":\n                    y += 1\n                elif t[k] == \"U\":\n                    x -= 1\n                else:\n                    x += 1\n                if s[x][y] != \".\":\n                    break\n            else:\n                ans += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(h, w, n) = map(int, input().split())\nt = input().strip()\ns = [input().strip() for _ in range(h)]\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\nans = 0\nfor i in range(1, h - 1):\n    for j in range(1, w - 1):\n        if s[i][j] == \".\":\n            x = i\n            y = j\n            for k in range(n):\n                if t[k] == \"L\":\n                    y += dx[k % 4]\n                elif t[k] == \"R\":\n                    y += dx[(k + 1) % 4]\n                elif t[k] == \"U\":\n                    x += dy[k % 4]\n                else:\n                    x += dy[(k + 1) % 4]\n                if s[x][y] != \".\":\n                    break\n            else:\n                ans += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(H, W, N) = map(int, input().split())\nT = input().strip()\nS = [input().strip() for _ in range(H)]\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\nans = 0\nfor i in range(1, H - 1):\n    for j in range(1, W - 1):\n        if S[i][j] == \".\":\n            x = i\n            y = j\n            for k in range(N):\n                if T[k] == \"L\":\n                    x += dx[0]\n                    y += dy[0]\n                elif T[k] == \"R\":\n                    x += dx[1]\n                    y += dy[1]\n                elif T[k] == \"U\":\n                    x += dx[2]\n                    y += dy[2]\n                else:\n                    x += dx[3]\n                    y += dy[3]\n                if x < 1 or y < 1 or x > H - 1 or y > W - 1 or S[x][y] == \"#\":\n                    break\n            else:\n                ans += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(H, W, N) = map(int, input().split())\nT = input().strip()\nS = [input().strip() for _ in range(H)]\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\nans = 0\nfor i in range(1, H - 1):\n    for j in range(1, W - 1):\n        if S[i][j] == \".\":\n            x = i\n            y = j\n            for k in range(N):\n                if T[k] == \"L\":\n                    x += dx[0]\n                    y += dy[0]\n                elif T[k] == \"R\":\n                    x += dx[1]\n                    y += dy[1]\n                elif T[k] == \"U\":\n                    x += dx[2]\n                    y += dy[2]\n                else:\n                    x += dx[3]\n                    y += dy[3]\n                if x < 1 or y < 1 or x > H - 1 or y > W - 1 or S[x][y] == \"#\":\n                    break\n            else:\n                ans += 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(h, w, n) = map(int, input().split())\nt = input().strip()\ns = [input().strip() for _ in range(h)]\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\nans = 0\n\n\ndef isValid(x, y):\n    return 0 <= x < w and 0 <= y < h and s[y][x] == \".\"\n\n\nfor i in range(w):\n    for j in range(h):\n        if not isValid(i, j):\n            continue\n        x = i\n        y = j\n        for k in range(n):\n            x += dx[(\"LURD\".index(t[k])))\n            y += dy[(\"LURD\".index(t[k]))]\n            if not isValid(x, y):\n                break\n        else:\n            ans += 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef main():\n    h, w, n = map(int, input().split())\n    t = input().strip()\n    s = [input().strip() for _ in range(h)]\n    x, y = 0, 0\n    for i in range(n):\n        if t[i] == \"L\":\n            x -= 1\n        elif t[i] == \"R\":\n            x += 1\n        elif t[i] == \"U\":\n            y -= 1\n        else:\n            y += 1\n    ans = 0\n    for i in range(h):\n        for j in range(w):\n            if s[i][j] == \".\" and abs(i - y) + abs(j - x) == n:\n                ans += 1\n    print(ans)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve():\n    h, w, n = map(int, input().split())\n    t = input().strip()\n    s = [input().strip() for _ in range(h)]\n    dx = [-1, 0, 1, 0]\n    dy = [0, 1, 0, -1]\n    ans = 0\n    for i in range(1, h - 1):\n        for j in range(1, w - 1):\n            if s[i][j] == \"#\":\n                continue\n            x, y = i, j\n            for k in t:\n                if k == \"L\":\n                    x += dx[0]\n                elif k == \"R\":\n                    x += dx[1]\n                elif k == \"U\":\n                    y += dy[0]\n                elif k == \"D\":\n                    y += dy[1]\n                if s[x][y] == \"#\":\n                    break\n            else:\n                ans += 1\n    print(ans)\n\n\nsolve()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\na = m // n\nb = m % n\nl = 0\nr = 10**18\nwhile r - l > 1:\n    mid = (l + r) // 2\n    if (mid - 1) // n + (mid - 1) // m - (mid - 1) // a - (mid - b) // a < k:\n        l = mid\n    else:\n        r = mid\nprint(l + n)",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\nans = m\nwhile k > 0:\n    k -= (ans + n - 1) // n\n    ans += m\nprint(ans)",
                "n, m, k = map(int, input().split())\n\nif n > m:\n    n, m = m, n\n\nlcm = n * m // gcd(n, m)\n\nans = k // 2 * lcm\nif k % 2 == 1:\n    ans += n\n\nprint(ans)\n\n\ndef gcd(a, b):\n    while b:\n        a, b = b, a % b\n    return a",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\nans = m\nwhile k > 0:\n    k -= (ans + n - 1) // n\n    ans += m\nprint(ans)",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\na = m // n\nb = m % n\nx = n * (a + 1)\ny = n * a\nif k <= b:\n    print(n * k)\nelif k <= 2 * b:\n    print(y + b)\nelse:\n    print(x + (k - b - b))",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\nans = m\nwhile k > 1:\n    ans += n\n    k -= 1\n    if k == 0:\n        break\n    ans += m\nprint(ans)",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\nans = m\nwhile k > 0:\n    k -= (ans + n - 1) // n\n    ans += m\nprint(ans)",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\n\nlcm = n * m // math.gcd(n, m)\n\nans = (n * (k - 1) + m - 1) // (m - n) * lcm // m\nif ans % n == 0:\n    ans += m\nprint(ans)",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\nl = m // n\nans = n * (k // l)\nif k % l == 0:\n    ans += n\nelse:\n    ans += k % l * n + m\nprint(ans)",
                "n, m, k = map(int, input().split())\nif n > m:\n    n, m = m, n\nx = n\nwhile x % m == 0:\n    x += n\nl = (k - 1) // m\nr = k - l * m\nif l == 0:\n    print(r * n)\nelse:\n    print(l * x + r * n)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\n\ndef solve():\n    n, q = map(int, input().split())\n    s = input().strip()\n    bit = [0] * (n + 1)\n    for i in range(n):\n        if i == 0:\n            bit[i + 1] = int(s[i])\n        else:\n            bit[i + 1] = bit[i] ^ int(s[i])\n    for _ in range(q):\n        t, l, r = map(int, input().split())\n        if t == 1:\n            if l == 1:\n                bit[1] ^= 1\n            if r == n:\n                bit[r] ^= 1\n            else:\n                bit[r + 1] ^= 1\n            for i in range(l + 1, r + 1):\n                bit[i] ^= 1\n        else:\n            if bit[l] == bit[r + 1]:\n                print(\"No\")\n            else:\n                print(\"Yes\")\n\n\nsolve()",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    if s[i] == \"1\":\n        bit[i + 1] = bit[i] + 1\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[l - 1] += 1\n        bit[r] -= 1\n    else:\n        if bit[r] - bit[l - 1] <= 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    bit[i + 1] = bit[i] + int(s[i])\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[r + 1] = bit[r + 1] - bit[l] + (r - l + 1) - bit[l]\n    else:\n        if bit[r + 1] - bit[l] <= r - l + 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    bit[i + 1] = bit[i] + int(s[i])\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[r + 1] = bit[r + 1] - bit[l] + (r - l + 1) - bit[l]\n    else:\n        if bit[r + 1] - bit[l] <= r - l + 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().rstrip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    bit[i + 1] = bit[i] + int(s[i])\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[r + 1] = bit[r + 1] - bit[l] + (r - l + 1) - bit[l]\n    else:\n        if bit[r + 1] - bit[l] <= r - l + 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    bit[i + 1] = bit[i] + int(s[i])\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[l] += 1\n        bit[r + 1] -= 1\n    else:\n        if bit[r] - bit[l - 1] <= 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    if s[i] == \"1\":\n        bit[i + 1] = bit[i] + 1\nfor _ in range(q):\n    (a, l, r) = map(int, input().split())\n    if a == 1:\n        bit[l] += 1\n        bit[r + 1] -= 1\n    else:\n        if bit[r] - bit[l - 1] <= 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    bit[i + 1] = bit[i] + int(s[i])\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[r + 1] = bit[r + 1] - bit[l] + (r - l + 1) - bit[l]\n    else:\n        if bit[r + 1] - bit[l] <= r - l + 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\ns = input().strip()\nbit = [0] * (n + 1)\nfor i in range(n):\n    bit[i + 1] = bit[i] + int(s[i])\nfor _ in range(q):\n    t, l, r = map(int, input().split())\n    if t == 1:\n        bit[r + 1] = bit[r + 1] - bit[l] + (r - l + 1) - bit[l]\n    else:\n        if bit[r + 1] - bit[l] <= r - l + 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nS = input().rstrip()\n\nflip = [False] * N\nfor _ in range(Q):\n    (q, L, R) = map(int, input().split())\n    if q == 1:\n        for i in range(L - 1, R):\n            flip[i] = not flip[i]\n    else:\n        flag = False\n        for i in range(L - 1, R):\n            if S[i] == \"0\":\n                if flag:\n                    print(\"No\")\n                    break\n                flag = True\n            elif S[i] == \"1\":\n                if not flag:\n                    print(\"No\")\n                    break\n                flag = False\n        else:\n            print(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    u, v = list(map(int, input().split()))\n    u, v = u - 1, v - 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nW = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\ndp = [0] * N\nfor i in range(N):\n    dp[i] = [0] * (W[i] + 1)\n\nfor i in range(N):\n    for j in range(A[i]):\n        dp[i][W[i]] += 1\n\nfor i in range(N):\n    for j in range(W[i]):\n        for k in graph[i]:\n            dp[k][j] += dp[i][W[i]] - dp[i][j + 1]\n\nans = 0\nfor i in range(N):\n    for j in range(W[i] + 1):\n        ans += dp[i][j]\n\nprint(ans)",
                "from collections import deque\n\n(N, M) = map(int, input().split())\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    (u, v) = map(int, input().split())\n    (u, v) = (u - 1, v - 1)\n    graph[u].append(v)\n    graph[v].append(u)\nW = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\nans = 0\nwhile A:\n    ans += sum(A)\n    B = [0] * N\n    for i in range(N):\n        if A[i]:\n            for j in graph[i]:\n                if W[i] > W[j]:\n                    B[j] += 1\n    A = B\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\nUV = [list(map(int, input().split())) for i in range(M)]\nW = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\ngraph = [[] for i in range(N)]\nfor u, v in UV:\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\ndp = [0] * N\nfor i in range(N):\n    dp[i] = [0] * (W[i] + 1)\n\nfor i in range(N):\n    if A[i] > 0:\n        dp[i][W[i]] = A[i]\n        for j in graph[i]:\n            dp[j][W[j]] += A[i] // W[i]\n            if W[i] - W[j] > 0:\n                dp[j][W[j] - W[i]] += A[i] % W[i]\n\nans = 0\nfor i in range(N):\n    for j in range(W[i] + 1):\n        ans += dp[i][j]\n\nprint(ans)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    (u, v) = map(int, input().split())\n    graph[u - 1].append(v - 1)\n    graph[v - 1].append(u - 1)\nw = list(map(int, input().split()))\na = list(map(int, input().split()))\nans = 0\nwhile True:\n    q = deque()\n    for i in range(n):\n        if a[i] > 0:\n            q.append(i)\n            break\n    else:\n        break\n    while q:\n        x = q.popleft()\n        a[x] -= 1\n        ans += 1\n        for y in graph[x]:\n            if w[x] > w[y]:\n                a[y] += 1\n                q.append(y)\nprint(ans)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    (u, v) = map(int, input().split())\n    (u, v) = (u - 1, v - 1)\n    graph[u].append(v)\n    graph[v].append(u)\nw = list(map(int, input().split()))\na = list(map(int, input().split()))\ndp = [0] * n\nfor i in range(n):\n    dp[i] = [0] * (w[i] + 1)\nfor i in range(n):\n    for j in range(a[i]):\n        dp[i][w[i]] += 1\nans = 0\nwhile True:\n    count = 0\n    for i in range(n):\n        for j in range(w[i]):\n            count += dp[i][j] * j\n            dp[i][j + 1] += dp[i][j]\n    ans += count\n    if all(dp[i][-1] == 0 for i in range(n)):\n        break\n    for i in range(n):\n        for j in range(w[i]):\n            dp[i][j + 1] = 0\n    for i in range(n):\n        for j in range(w[i]):\n            for k in graph[i]:\n                if w[k] < w[i] - j:\n                    dp[k][w[k] + j - w[i]] += dp[i][j]\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    u, v = list(map(int, input().split()))\n    u, v = u - 1, v - 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nW = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\ndp = [0] * N\nfor i in range(N):\n    dp[i] = [0] * (W[i] + 1)\n\nfor i in range(N):\n    for j in range(A[i]):\n        dp[i][W[i]] += 1\n\nans = sum(sum(dp[i]) for i in range(N))\n\nfor i in range(N):\n    for j in range(W[i]):\n        if dp[i][j] == 0:\n            continue\n        for k in graph[i]:\n            if W[k] < W[i] - j:\n                dp[k][W[k]] += dp[i][j]\n                ans += dp[i][j]\n\nprint(ans)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    (u, v) = map(int, input().split())\n    (u, v) = (u - 1, v - 1)\n    graph[u].append(v)\n    graph[v].append(u)\nw = list(map(int, input().split()))\na = list(map(int, input().split()))\ndp = [0] * n\nfor i in range(n):\n    dp[i] = [0] * (w[i] + 1)\nfor i in range(n):\n    for j in range(a[i]):\n        dp[i][w[i]] = 1\ndq = deque()\nfor i in range(n):\n    for j in range(1, w[i] + 1):\n        if dp[i][j] == 1:\n            dq.append((i, j))\nans = 0\nwhile dq:\n    ans += 1\n    for _ in range(len(dq)):\n        (i, j) = dq.popleft()\n        dp[i][j] = 0\n        for k in graph[i]:\n            if w[k] < j:\n                dp[k][j - w[k]] += 1\n                if dp[k][j - w[k]] == 1:\n                    dq.append((k, j - w[k]))\nprint(ans)",
                "from collections import deque\n\n(N, M) = map(int, input().split())\ngraph = [[] for _ in range(N)]\nfor _ in range(M):\n    (u, v) = map(int, input().split())\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\nW = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\nans = 0\nwhile True:\n    any_pieces = False\n    for i in range(N):\n        if A[i] > 0:\n            any_pieces = True\n            break\n    if not any_pieces:\n        break\n    ans += 1\n    for i in range(N):\n        if A[i] > 0:\n            A[i] -= 1\n            for j in graph[i]:\n                if W[i] > W[j]:\n                    A[j] += 1\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = [[] for i in range(N)]\n\nfor i in range(M):\n    u, v = list(map(int, input().split()))\n    u -= 1\n    v -= 1\n    graph[u].append(v)\n    graph[v].append(u)\n\nW = list(map(int, input().split()))\nA = list(map(int, input().split()))\n\ndp = [0] * N\n\nfor i in range(N):\n    for j in graph[i]:\n        if W[i] > W[j]:\n            dp[i] += A[j]\n\nans = 0\n\nwhile True:\n    flag = False\n    for i in range(N):\n        if A[i] > 0:\n            flag = True\n            ans += A[i]\n            for j in graph[i]:\n                if W[i] > W[j]:\n                    A[j] += 1\n    if not flag:\n        break\n\nprint(ans)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n)]\nfor _ in range(m):\n    (u, v) = map(int, input().split())\n    (u, v) = (u - 1, v - 1)\n    graph[u].append(v)\n    graph[v].append(u)\nw = list(map(int, input().split()))\na = list(map(int, input().split()))\ndp = [0] * n\nfor i in range(n):\n    dp[i] = [0] * (w[i] + 1)\nfor i in range(n):\n    for j in range(a[i]):\n        dp[i][w[i]] += 1\nq = deque()\nfor i in range(n):\n    if dp[i][w[i]] > 0:\n        q.append(i)\nans = 0\nwhile q:\n    ans += 1\n    for _ in range(len(q)):\n        x = q.popleft()\n        for y in graph[x]:\n            for j in range(w[y], w[x] - 1, -1):\n                if dp[x][j] > 0:\n                    dp[y][w[x] - j - 1] += 1\n                    if dp[y][w[x] - j - 1] == 1:\n                        q.append(y)\n                    dp[x][j] -= 1\nprint(ans - 1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break",
                "s = input()\r\nfor i in range(len(s)):\r\n    if s[i] != s[0]:\r\n        print(i + 1)\r\n        break\r",
                "s = input()\nfor i in range(len(s)):\n    if s[i] != s[0]:\n        print(i + 1)\n        break"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    if p[a - 1] < p[b - 1]:\n        print(p[a - 1])\n    else:\n        print(p[b - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor i in range(q):\n    a, b = map(int, input().split())\n    if p[a - 1] < p[b - 1]:\n        print(p[a - 1])\n    else:\n        print(p[b - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    print(p[a - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    print(p[a - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    print(p[a - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    print(p[a - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    print(p[a - 1] if p[a - 1] < p[b - 1] else p[b - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    a, b = map(int, input().split())\n    print(p[a - 1])",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor i in range(q):\n    a, b = map(int, input().split())\n    if p.index(a) < p.index(b):\n        print(a)\n    else:\n        print(b)",
                "n = int(input())\np = list(map(int, input().split()))\nq = int(input())\nfor i in range(q):\n    a, b = map(int, input().split())\n    if p.index(a) < p.index(b):\n        print(a)\n    else:\n        print(b)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\n\r\nfor i in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\n\r\nprint(s)\r",
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\nfor i in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\nprint(s)\r",
                "n = int(input())\ns = input()\nq = int(input())\nfor i in range(q):\n    c, d = map(str, input().split())\n    s = s.replace(c, d)\nprint(s)",
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\n\r\nfor _ in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\n\r\nprint(s)\r",
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\nfor i in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\nprint(s)\r",
                "n = int(input())\ns = input()\nq = int(input())\nfor i in range(q):\n    c, d = input().split()\n    s = s.replace(c, d)\nprint(s)",
                "n = int(input())\ns = input()\nq = int(input())\nfor i in range(q):\n    c, d = input().split()\n    s = s.replace(c, d)\nprint(s)",
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\nfor i in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\nprint(s)\r",
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\nfor _ in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\nprint(s)\r",
                "n = int(input())\r\ns = input()\r\nq = int(input())\r\nfor i in range(q):\r\n    c, d = input().split()\r\n    s = s.replace(c, d)\r\nprint(s)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\n\nn = int(input())\na = list(map(int, input().split()))\n\nsq = set(i * i for i in range(500))\n\nd = defaultdict(int)\nfor x in a:\n    d[x] += 1\n\nans = 0\nfor x in d:\n    if x * x in sq:\n        ans += d[x] * (d[x] - 1) // 2\n    y = int(x**0.5)\n    if y * y < x:\n        y += 1\n    if y * y in sq:\n        ans += d[x] * d[y]\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\ncount = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i] * a[j]) ** 0.5 % 1 == 0:\n            count += 1\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\nsq = set()\nfor i in range(1, 450):\n    sq.add(i * i)\n\nans = 0\nfor i in a:\n    if i * i in sq:\n        ans += a.count(i * i) - 1\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\ncount = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i] * a[j]) ** 0.5 % 1 == 0:\n            count += 1\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\ncount = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i] * a[j]) ** 0.5 % 1 == 0:\n            count += 1\n\nprint(count)",
                "import math\n\nn = int(input())\na = list(map(int, input().split()))\n\nsquares = set()\nfor i in range(1, int(math.sqrt(max(a))) + 1):\n    squares.add(i * i)\n\ncount = 0\nfor ai in a:\n    if ai in squares:\n        count += a.count(ai) - 1\n\nprint(count)",
                "import math\n\nn = int(input())\na = list(map(int, input().split()))\n\ncount = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if math.sqrt(a[i] * a[j]) == int(math.sqrt(a[i] * a[j])):\n            count += 1\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\ncount = 0\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if (a[i] * a[j]) ** 0.5 % 1 == 0:\n            count += 1\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\nsq = set()\nfor i in range(1, int(2 * (200000 ** (1 / 2)) + 1)):\n    sq.add(i * i)\n\nans = 0\nfor x in a:\n    ans += a.count(x) - 1\n    if x * x in sq:\n        ans += a.count(x * x) - 1\n\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\n\nsq = set()\nfor i in range(1, int(2e5) + 1):\n    sq.add(i * i)\n\nans = 0\nfor x in a:\n    if x * x in sq:\n        ans += x * x\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from heapq import heappush, heappop\n\n(N, M) = map(int, input().split())\nINF = float(\"inf\")\ntrains = [[] for _ in range(N)]\nfor _ in range(M):\n    (l, d, k, c, A, B) = map(int, input().split())\n    for i in range(k):\n        trains[A - 1].append((l + i * d, B - 1, c))\ndp = [0] * N\nfor i in range(N):\n    for t, nxt, c in trains[i]:\n        dp[nxt] = max(dp[nxt], t + c)\nans = [0] * N\nfor i in range(N):\n    for t, nxt, c in trains[i]:\n        ans[i] = max(ans[i], dp[i] + t + c - dp[nxt])\nfor i in range(N):\n    if ans[i] == 0:\n        print(\"Unreachable\")\n    else:\n        print(dp[i] + ans[i])",
                "from heapq import heappop, heappush\n\n(N, M) = map(int, input().split())\nINF = 10**18\ntrains = [[] for _ in range(N)]\nfor _ in range(M):\n    (l, d, k, c, A, B) = map(int, input().split())\n    A -= 1\n    B -= 1\n    for i in range(k):\n        trains[A].append((l + i * d, B, c))\ndp = [0] * N\nfor i in range(N):\n    for t, nxt, c in trains[i]:\n        dp[nxt] = max(dp[nxt], t + c)\nfor i in range(N):\n    if not trains[i]:\n        dp[i] = -INF\ndp[0] = max(dp[0], INF)\nfor i in range(N):\n    for t, nxt, c in trains[i]:\n        dp[i] = max(dp[i], dp[nxt] - t - c)\nfor i in range(1, N):\n    print(dp[i] if dp[i] != INF else \"Unreachable\")",
                "from heapq import heappop, heappush\n\nN, M = map(int, input().split())\nINF = 10**18\n\ntrains = [[] for _ in range(N)]\nfor _ in range(M):\n    l, d, k, c, A, B = map(int, input().split())\n    for i in range(k):\n        trains[A - 1].append((l + i * d, B - 1, c))\n\ndp = [0] * N\nfor i in range(N):\n    for t, nxt, c in trains[i]:\n        dp[nxt] = max(dp[nxt], t + c)\n\nans = [0] * (N - 1)\nfor i in range(N):\n    for t, nxt, c in trains[i]:\n        if t + c > dp[i]:\n            ans[i] = max(ans[i], dp[nxt] - t - c)\n\nfor i in range(N - 1):\n    if ans[i] == 0:\n        print(\"Unreachable\")\n    else:\n        print(dp[i] + ans[i])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ntrains = [list(map(int, input().split())) for _ in range(M)]\n\nINF = 10**18\n\ndepart = [[] for _ in range(N + 1)]\n\nfor l, d, k, c, A, B in trains:\n    for i in range(k):\n        depart[A].append((l + i * d, B, c))\n\ndepart.sort(key=lambda x: (x[0], x[2]))\n\n\ndef solve(S):\n    dp = [0] * (N + 1)\n    dp[S] = INF\n    for t, B, c in depart[S]:\n        if dp[S] > t:\n            dp[B] = max(dp[B], t + c)\n    return dp[N]\n\n\nfor i in range(1, N):\n    ans = solve(i)\n    if ans == 0:\n        print(\"Unreachable\")\n    else:\n        print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ntrains = [list(map(int, input().split())) for _ in range(M)]\n\nINF = 10**18\n\ndepart = [[] for _ in range(N + 1)]\n\nfor l, d, k, c, A, B in trains:\n    for i in range(k):\n        depart[A].append((l + i * d, B, l + i * d + c))\n\nfor i in range(N + 1):\n    depart[i].sort()\n\n\ndef f(S):\n    if S == N:\n        return INF\n    ans = -1\n    for t, B, t_c in depart[S]:\n        if f(B) <= t:\n            continue\n        if ans < t_c:\n            ans = t_c\n    return ans\n\n\nfor i in range(1, N):\n    print(f(i) if f(i) != -1 else \"Unreachable\")",
                "from heapq import heappush, heappop\nfrom collections import defaultdict\n\nINF = float(\"inf\")\n\nN, M = map(int, input().split())\n\ntrains = [[] for _ in range(N)]\nfor _ in range(M):\n    l, d, k, c, A, B = map(int, input().split())\n    for i in range(k):\n        trains[A - 1].append((l + i * d, B - 1, c))\n\ndp = [0] * N\nfor i in range(N):\n    dp[i] = [0, -INF]\n\nfor i in range(N):\n    for t, j, c in trains[i]:\n        dp[j][0] = max(dp[j][0], t + c)\n        dp[j][1] = max(dp[j][1], t)\n\nfor i in range(N):\n    for j in range(2):\n        if dp[i][j] != 0:\n            heappush(trains[i], (dp[i][j], j))\n\nans = [0] * (N - 1)\nfor i in range(N - 1):\n    if not trains[i]:\n        ans[i] = \"Unreachable\"\n        continue\n    heap = trains[i].copy()\n    while heap:\n        t, j = heappop(heap)\n        if j == 1:\n            ans[i] = t\n            break\n        heappush(heap, (t, j))\n\nprint(*ans, sep=\"\\n\")",
                "from heapq import heappush, heappop\nfrom collections import defaultdict\n\nINF = 10**18\n\nN, M = map(int, input().split())\n\ntrains = [None] * M\nfor i in range(M):\n    l, d, k, c, A, B = map(int, input().split())\n    A, B = A - 1, B - 1\n    for j in range(k):\n        trains[i] = (l + j * d, c, A, B)\n\ntrains.sort()\n\ngraph = defaultdict(list)\nfor l, c, A, B in trains:\n    graph[A].append((l, B, c))\n\ndp = [-INF] * N\ndp[0] = 0\n\nQ = [(0, 0)]\nwhile Q:\n    t, v = heappop(Q)\n    if v == N - 1:\n        print(t)\n        continue\n    for l, nv, c in graph[v]:\n        if l > t:\n            break\n        if t - l - c > dp[nv]:\n            dp[nv] = t - l - c\n            heappush(Q, (t - c, nv))\n\nfor i in range(1, N):\n    if dp[i] == -INF:\n        print(\"Unreachable\")\n    else:\n        print(dp[i])",
                "from heapq import heappush, heappop\nfrom collections import defaultdict\n\nINF = float(\"inf\")\n\nN, M = map(int, input().split())\n\ntrains = []\nfor _ in range(M):\n    l, d, k, c, A, B = map(int, input().split())\n    for i in range(k):\n        trains.append((l + i * d, c, A, B))\n\ntrains.sort()\n\ndist = [INF] * (N + 1)\ndist[1] = 0\n\nfor t, c, A, B in trains:\n    if dist[A] != INF and dist[A] + c < dist[B]:\n        dist[B] = dist[A] + c\n\nfor i in range(2, N + 1):\n    if dist[i] == INF:\n        dist[i] = -1\n\nfor i in range(1, N):\n    print(dist[i])",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = map(int, input().split())\n\ntrains = [list(map(int, input().split())) for _ in range(M)]\n\nINF = 10**18\n\ndeparture = [[] for _ in range(N + 1)]\nfor l, d, k, c, A, B in trains:\n    for i in range(k):\n        departure[A].append((l + i * d, B, l + i * d + c))\n\n\ndef solve(S):\n    dp = [-INF] * (N + 1)\n    dp[S] = INF\n    for t, B, t_c in departure[S]:\n        if dp[S] >= t:\n            dp[B] = max(dp[B], t_c)\n    return dp\n\n\ndp = solve(1)\n\nfor i in range(2, N + 1):\n    if dp[i] == -INF:\n        print(\"Unreachable\")\n    else:\n        print(dp[i])",
                "from heapq import heappush, heappop\nfrom collections import defaultdict\n\nINF = 10**18\n\nN, M = map(int, input().split())\n\ntrains = [tuple(map(int, input().split())) for _ in range(M)]\n\ndepartures = defaultdict(list)\nfor l, d, k, c, A, B in trains:\n    for i in range(k):\n        departures[(A, B)].append(l + i * d)\n\nfor A, B in departures:\n    departures[(A, B)].sort()\n\ndist = [0] + [INF] * (N - 1)\n\nfor A, B in departures:\n    for d in departures[(A, B)]:\n        dist[B] = min(dist[B], d + departures[(A, B)][-1])\n\nfor i in range(1, N):\n    if dist[i] == INF:\n        print(\"Unreachable\")\n    else:\n        print(dist[i] + dist[i - 1])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10 + 1)",
                "a, b = map(int, input().split())\nprint((a + b) % 10 + 1)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)",
                "a, b = map(int, input().split())\nprint((a + b) % 10)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append([int(x) for x in input().split()])\r\nfor i in range(n):\r\n    print(*[j + 1 for j in range(n) if a[i][j] == 1])\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\nfor i in range(n):\r\n    s = \"\"\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            s += str(j + 1) + \" \"\r\n    print(s)\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append([int(i) for i in input().split()])\r\nfor i in range(n):\r\n    ans = []\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            ans.append(j + 1)\r\n    ans.sort()\r\n    print(*ans)\r",
                "n = int(input())\r\na = [list(map(int, input().split())) for _ in range(n)]\r\nfor i in range(n):\r\n    print(\" \".join(str(j + 1) for j in range(n) if a[i][j]))\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\nfor i in range(n):\r\n    ans = []\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            ans.append(j + 1)\r\n    ans.sort()\r\n    print(*ans)\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\nfor i in range(n):\r\n    s = \"\"\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            s += str(j + 1) + \" \"\r\n    print(s)\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\nfor i in range(n):\r\n    ans = []\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            ans.append(j + 1)\r\n    ans.sort()\r\n    print(*ans)\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\nfor i in range(n):\r\n    ans = []\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            ans.append(j + 1)\r\n    ans.sort()\r\n    print(*ans)\r",
                "n = int(input())\r\na = []\r\nfor i in range(n):\r\n    a.append(list(map(int, input().split())))\r\nfor i in range(n):\r\n    ans = []\r\n    for j in range(n):\r\n        if a[i][j] == 1:\r\n            ans.append(j + 1)\r\n    ans.sort()\r\n    print(*ans)\r",
                "n = int(input())\r\na = [list(map(int, input().split())) for _ in range(n)]\r\nfor i in range(n):\r\n    print(\" \".join(str(j + 1) for j in range(n) if a[i][j] == 1))\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    n = int(input())\n    l = 1\n    r = n ** (1 / 3)\n    while l <= r:\n        m = (l + r) // 2\n        k = int(m**3)\n        if k > n:\n            r = m - 1\n        else:\n            s = str(k)\n            if s == s[::-1]:\n                l = m + 1\n            else:\n                r = m - 1\n    print(int((l - 1) ** 3))\n\n\nmain()",
                "n = int(input())\n\nans = 0\nfor i in range(1, int(n ** (1 / 3)) + 1):\n    x = i**3\n    if x > n:\n        break\n    s = str(x)\n    if s == s[::-1]:\n        ans = x\nprint(ans)",
                "import math\n\nN = int(input())\n\nans = 0\nfor i in range(1, int(N ** (1 / 3)) + 1):\n    x = i**3\n    if x > N:\n        break\n    s = str(x)\n    if s == s[::-1]:\n        ans = x\nprint(ans)",
                "def main():\n    n = int(input())\n    l, r = 0, 10**9\n    while l + 1 < r:\n        m = (l + r) // 2\n        if str(m**3) == str(m**3)[::-1]:\n            l = m\n        else:\n            r = m\n    print(l**3)\n\n\nmain()",
                "def main():\n    n = int(input())\n    l = 1\n    r = n ** (1 / 3)\n    while l <= r:\n        m = (l + r) // 2\n        x = int(m**3)\n        if x > n:\n            r = m - 1\n        elif x < n and is_palindrome(x):\n            l = m + 1\n        else:\n            break\n    print(int(r**3))\n\n\ndef is_palindrome(x):\n    s = str(x)\n    return s == s[::-1]\n\n\nmain()",
                "import math\n\nN = int(input())\n\nans = 0\nfor i in range(1, int(N ** (1 / 3)) + 1):\n    x = i**3\n    if x > N:\n        break\n    s = str(x)\n    if s == s[::-1]:\n        ans = x\nprint(ans)",
                "def is_palindrome(n):\n    return str(n) == str(n)[::-1]\n\n\ndef max_palindromic_cube(n):\n    i = 1\n    while True:\n        cube = i**3\n        if cube > n:\n            break\n        if is_palindrome(cube):\n            i -= 1\n            break\n        i += 1\n    return i**3\n\n\nn = int(input())\nprint(max_palindromic_cube(n))",
                "def is_palindrome(n):\r\n    s = str(n)\r\n    return s == s[::-1]\r\n\r\n\r\ndef main():\r\n    n = int(input())\r\n    l, r = 0, int(n ** (1 / 3))\r\n    while l < r:\r\n        m = (l + r) // 2\r\n        k = m**3\r\n        if k > n:\r\n            r = m\r\n        else:\r\n            if is_palindrome(k):\r\n                l = m + 1\r\n            else:\r\n                r = m\r\n    print((l - 1) ** 3)\r\n\r\n\r\nmain()\r",
                "def main():\n    n = int(input())\n    l, r = 0, int(n ** (1 / 3))\n    while l + 1 < r:\n        m = (l + r) // 2\n        x = str(m**3)\n        if x == x[::-1]:\n            l = m\n        else:\n            r = m\n    print(l**3)\n\n\nmain()",
                "def is_palindrome(n):\r\n    return str(n) == str(n)[::-1]\r\n\r\n\r\ndef palindromic_cube_not_greater_than(n):\r\n    max_palindrome = 0\r\n    x = 1\r\n    while x * x * x <= n:\r\n        cube = x * x * x\r\n        if is_palindrome(cube):\r\n            max_palindrome = cube\r\n        x += 1\r\n    return max_palindrome\r\n\r\n\r\nn = int(input())\r\nprint(palindromic_cube_not_greater_than(n))\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = [0] * n\nscore_set = set()\nscore_set.add(0)\nscore_counts = defaultdict(int)\nscore_counts[0] = n\nfor _ in range(t):\n    a, b = map(int, input().split())\n    a -= 1\n    scores[a] += b\n    score_counts[scores[a]] += 1\n    score_counts[scores[a] - b] -= 1\n    score_set.add(scores[a])\n    print(len(score_set))",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(int, input().split())\nscores = [0] * (N + 1)\nseen = set()\nseen.add(0)\nfor _ in range(T):\n    (A, B) = map(int, input().split())\n    scores[A] += B\n    seen.add(scores[A])\n    print(len(seen))",
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = [0] * n\nscore_count = defaultdict(int)\nscore_count[0] = n\nscore_set = {0}\nfor _ in range(t):\n    a, b = map(int, input().split())\n    a -= 1\n    scores[a] += b\n    score_count[scores[a]] += 1\n    score_set.add(scores[a])\n    print(len(score_set))",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(int, input().split())\nscores = [0] * (N + 1)\nseen = set()\nseen.add(0)\nfor _ in range(T):\n    (A, B) = map(int, input().split())\n    scores[A] += B\n    seen.add(scores[A])\n    print(len(seen))",
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = [0] * (n + 1)\nscore_count = defaultdict(int)\nscore_count[0] = n\nfor _ in range(t):\n    (a, b) = map(int, input().split())\n    scores[a] += b\n    score_count[scores[a]] += 1\n    print(len(score_count))",
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = [0] * (n + 1)\nscore_counts = defaultdict(int)\nscore_counts[0] = n\nscore_set = {0}\nscore_count = 1\nfor _ in range(t):\n    a, b = map(int, input().split())\n    scores[a] += b\n    score_counts[scores[a]] += 1\n    if scores[a] not in score_set:\n        score_set.add(scores[a])\n        score_count += 1\n    for s in score_set:\n        if score_counts[s] == 0:\n            score_set.remove(s)\n            score_count -= 1\n    print(score_count)",
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = [0] * n\nscore_counts = defaultdict(int)\nscore_counts[0] = n\nscore_set = {0}\nscore_count = 1\nfor _ in range(t):\n    a, b = map(int, input().split())\n    a -= 1\n    scores[a] += b\n    score_counts[scores[a]] += 1\n    if scores[a] not in score_set:\n        score_set.add(scores[a])\n        score_count += 1\n    for s in score_set:\n        if score_counts[s] == 0:\n            score_set.remove(s)\n            score_count -= 1\n    print(score_count)",
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = [0] * n\nscore_counts = defaultdict(int)\nscore_counts[0] = n\nscore_set = {0}\nscore_count = 1\nfor _ in range(t):\n    a, b = map(int, input().split())\n    a -= 1\n    scores[a] += b\n    score_counts[scores[a]] += 1\n    if scores[a] not in score_set:\n        score_set.add(scores[a])\n        score_count += 1\n    for s in score_set:\n        if score_counts[s] == 0:\n            score_set.remove(s)\n            score_count -= 1\n    print(score_count)",
                "import sys\n\ninput = sys.stdin.readline\n(N, T) = map(int, input().split())\nscores = [0] * N\nscore_set = set([0])\nfor _ in range(T):\n    (A, B) = map(int, input().split())\n    A -= 1\n    scores[A] += B\n    if scores[A] in score_set:\n        continue\n    score_set.add(scores[A])\n    print(len(score_set))",
                "from collections import defaultdict\n\n(n, t) = map(int, input().split())\nscores = defaultdict(int)\nres = [1]\nfor _ in range(t):\n    (a, b) = map(int, input().split())\n    scores[a] += b\n    res.append(len(set(scores.values())))\nprint(*res[1:], sep=\"\\n\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\nelse:\n    if v1 % 7 != 0 or v2 % 7 != 0:\n        print(\"No\")\n    else:\n        if v1 < 49 or v1 > 343 or v2 < 49 or v2 > 294:\n            print(\"No\")\n        else:\n            v3 = 343 - v1 - v2\n            if v3 < 0 or v3 % 7 != 0:\n                print(\"No\")\n            else:\n                v1, v2 = v1 // 7, v2 // 7\n                v3 = v3 // 7\n                print(\"Yes\")\n                print(0, 0, 0, 0, v2, 0, v1, 0, 0)",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 % 7 != 0 or v2 % 7 != 0 or v3 % 7 != 0:\n    print(\"No\")\nelse:\n    v1, v2, v3 = v1 // 7, v2 // 7, v3 // 7\n    if v1 + v2 + v3 != 49:\n        print(\"No\")\n    else:\n        for i in range(42):\n            for j in range(42):\n                for k in range(42):\n                    if (i + j + k) % 2 == v1 % 2 and i * j % 2 == v2 % 2 and i * k % 2 == v3 % 2:\n                        print(\"Yes\")\n                        print(i, j, k, i + 7, j + 7, k, i + j + 14, j + k + 14, k + i + j + 21)\n                        exit()\n        print(\"No\")",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\nelse:\n    if v1 % 7 in [0, 7] and v2 % 7 in [0, 7] and v3 % 7 in [0, 7]:\n        print(\"No\")\n    else:\n        print(\"Yes\")\n        a1, b1, c1 = 0, 0, 0\n        a2, b2, c2 = 0, 0, 0\n        a3, b3, c3 = 0, 0, 0\n        if v1 % 7 == 0:\n            a1 += 7\n        elif v1 % 7 == 1:\n            a1 += 6\n            a2 += 1\n        elif v1 % 7 == 2:\n            a1 += 5\n            a2 += 2\n        elif v1 % 7 == 3:\n            a1 += 4\n            a2 += 3\n        elif v1 % 7 == 4:\n            a1 += 3\n            a2 += 4\n        elif v1 % 7 == 5:\n            a1 += 2\n            a2 += 5\n        elif v1 % 7 == 6:\n            a1 += 1\n            a2 += 6\n        if v2 % 7 == 0:\n            b1 += 7\n        elif v2 % 7 == 1:\n            b1 += 6\n            b2 += 1\n        elif v2 % 7 == 2:\n            b1 += 5\n            b2 += 2\n        elif v2 % 7 == 3:\n            b1 += 4\n            b2 += 3\n        elif v2 % 7 == 4:\n            b1 += 3\n            b2 += 4\n        elif v2 % 7 == 5:\n            b1 += 2\n            b2 += 5\n        elif v2 % 7 == 6:\n            b1 += 1\n            b2 += 6\n        if v3 % 7 == 0:\n            c1 += 7\n        elif v3 % 7 == 1:\n            c1 += 6\n            c2 += 1\n        elif v3 % 7 == 2:\n            c1 += 5\n            c2 += 2\n        elif v3 % 7 == 3:\n            c1 += 4\n            c2 += 3\n        elif v3 % 7 == 4:\n            c1 += 3\n            c2 += 4\n        elif v3 % 7 == 5:\n            c1 += 2\n            c2 += 5\n        elif v3 % 7 == 6:\n            c1 += 1\n            c2 += 6\n        print(a1, b1, c1, a2, b2, c2, a3, b3, c3)",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\nelse:\n    if v1 == 252:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 7 0 7 0\")\n    elif v1 == 294:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 7 0\")\n    elif v1 == 294:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 0 7\")\n    elif v1 == 147:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 0 0 7 0\")\n    elif v1 == 147:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 0 7 0 0\")\n    elif v1 == 147:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 7 0 0 0\")\n    elif v1 == 21:\n        print(\"Yes\")\n        print(\"0 0 0 7 7 0 0 0 0\")\n    elif v1 == 21:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 7 7 0 0\")\n    elif v1 == 21:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 0 7 7 0\")\n    else:\n        print(\"No\")",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 7**3:\n    print(\"No\")\nelse:\n    if v1 % 7**2 == 0:\n        a1, b1, c1 = 0, 0, 0\n        a2, b2, c2 = 0, 0, 0\n        a3, b3, c3 = 0, 0, 0\n        for i in range(101):\n            for j in range(101):\n                if (i - j) ** 3 == v1:\n                    a1, b1, c1 = 0, 0, 0\n                    a2, b2, c2 = i, 0, 0\n                    a3, b3, c3 = j, 0, 0\n                    break\n            if a1:\n                break\n        if a1:\n            print(\"Yes\")\n            print(a1, b1, c1, a2, b2, c2, a3, b3, c3)\n        else:\n            print(\"No\")\n    else:\n        print(\"No\")",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\n    exit()\n\nif v1 % 7 != 0 or v2 % 7 != 0 or v3 % 7 != 0:\n    print(\"No\")\n    exit()\n\nv1, v2, v3 = v1 // 7, v2 // 7, v3 // 7\n\nif v1 > 21 * 6 or v2 > 21 * 6 or v3 > 21 * 6:\n    print(\"No\")\n    exit()\n\nif v1 + v2 + v3 != 21 * 3:\n    print(\"No\")\n    exit()\n\nif v1 > 7 * 3:\n    v1a, v1b, v1c = 7, 7, v1 - 14\nelse:\n    v1a, v1b, v1c = v1, 0, 0\n\nif v2 > 7 * 3:\n    v2a, v2b, v2c = 7, 7, v2 - 14\nelse:\n    v2a, v2b, v2c = v2, 0, 0\n\nif v3 > 7 * 3:\n    v3a, v3b, v3c = 7, 7, v3 - 14\nelse:\n    v3a, v3b, v3c = v3, 0, 0\n\nif v1a + v2a + v3a != 21:\n    print(\"No\")\n    exit()\n\nif v1b + v2b + v3b != 21:\n    print(\"No\")\n    exit()\n\nif v1c + v2c + v3c != 21:\n    print(\"No\")\n    exit()\n\nprint(\"Yes\")\nprint(0, 0, 0, v1a, v1b, v1c, v2a, v2b, v2c, v3a, v3b, v3c)",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\nelse:\n    if v1 == 252:\n        print(\"Yes\")\n        print(0, 0, 0, 0, 7, 0, 0, 7, 0)\n    elif v1 == 294:\n        print(\"Yes\")\n        print(0, 0, 0, 0, 7, 0, 0, 0, 7)\n    elif v1 == 147:\n        print(\"Yes\")\n        print(0, 0, 0, 7, 0, 0, 0, 7, 0)\n    elif v1 == 196:\n        print(\"Yes\")\n        print(0, 0, 0, 7, 0, 0, 0, 0, 7)\n    elif v1 == 343:\n        print(\"Yes\")\n        print(0, 0, 0, 0, 0, 7, 0, 0, 7)\n    elif v1 == 280:\n        print(\"Yes\")\n        print(0, 0, 0, 0, 7, 0, 7, 0, 0)\n    elif v1 == 224:\n        print(\"Yes\")\n        print(0, 0, 0, 7, 0, 0, 0, 7, 7)\n    elif v1 == 168:\n        print(\"Yes\")\n        print(0, 0, 0, 7, 0, 0, 7, 0, 0)\n    elif v1 == 112:\n        print(\"Yes\")\n        print(0, 0, 0, 7, 0, 7, 0, 0, 0)\n    elif v1 == 56:\n        print(\"Yes\")\n        print(0, 0, 0, 7, 7, 0, 0, 0, 0)\n    else:\n        print(\"No\")",
                "",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\nelse:\n    if v1 == 252:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 7 0 7 0\")\n    elif v1 == 126:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 7 7 0 0\")\n    elif v1 == 294:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 0 7\")\n    elif v1 == 168:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 7 0\")\n    elif v1 == 224:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 0 0 0 7\")\n    elif v1 == 336:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 0 7 0 0\")\n    elif v1 == 84:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 0 0\")\n    elif v1 == 189:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 0 7 0 7\")\n    else:\n        print(\"No\")",
                "v1, v2, v3 = map(int, input().split())\n\nif v1 + v2 + v3 != 343:\n    print(\"No\")\nelse:\n    if v1 == 252:\n        print(\"Yes\")\n        print(\"0 0 0 0 0 7 0 7 0\")\n    elif v1 == 126:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 0 7\")\n    elif v1 == 63:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 0 0 7 0\")\n    elif v1 == 294:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 7 0 7\")\n    elif v1 == 168:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 7 0 0 0\")\n    elif v1 == 84:\n        print(\"Yes\")\n        print(\"0 0 0 0 7 0 0 7 7\")\n    elif v1 == 224:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 0 7 0 7\")\n    elif v1 == 49:\n        print(\"Yes\")\n        print(\"0 0 0 7 7 0 0 0 7\")\n    elif v1 == 147:\n        print(\"Yes\")\n        print(\"0 0 0 7 0 7 0 7 0\")\n    elif v1 == 343:\n        print(\"Yes\")\n        print(\"0 0 0 7 7 7 0 0 0\")\n    else:\n        print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na = s.split(\"|\")\nprint(a[0] + a[2])",
                "s = input()\na, b = s.find(\"|\"), s.rfind(\"|\")\nprint(s[:a] + s[b + 1 :])"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a = []\r\nwhile True:\r\n    try:\r\n        x = int(input())\r\n        if x == 0:\r\n            break\r\n        a.append(x)\r\n    except:\r\n        break\r\na.reverse()\r\nfor i in a:\r\n    print(i)\r",
                "l = []\nwhile True:\n    try:\n        a = int(input())\n        l.append(a)\n    except:\n        break\nl.reverse()\nfor i in l:\n    print(i)",
                "a = []\nwhile True:\n    try:\n        x = int(input())\n        a.append(x)\n    except:\n        break\na.reverse()\nfor i in a:\n    print(i)",
                "L = []\nwhile True:\n    try:\n        L.append(int(input()))\n    except:\n        break\nL.reverse()\nfor i in L:\n    print(i)",
                "a = []\nwhile True:\n    try:\n        x = int(input())\n        a.append(x)\n    except:\n        break\na = a[::-1]\nfor i in a:\n    print(i)",
                "a = []\nwhile True:\n    try:\n        x = int(input())\n        if x == 0:\n            break\n        a.append(x)\n    except:\n        break\na.reverse()\nfor i in a:\n    print(i)",
                "a = []\r\nwhile True:\r\n    try:\r\n        x = int(input())\r\n        if x == 0:\r\n            break\r\n        a.append(x)\r\n    except:\r\n        break\r\na.reverse()\r\nfor i in a:\r\n    print(i)\r",
                "a = []\nwhile True:\n    try:\n        b = int(input())\n        if b == 0:\n            break\n        a.append(b)\n    except:\n        break\na.reverse()\nfor i in a:\n    print(i)",
                "a = []\nwhile True:\n    try:\n        x = int(input())\n        a.append(x)\n    except:\n        break\na.reverse()\nfor i in a:\n    print(i)",
                "L = []\nwhile True:\n    try:\n        L.append(int(input()))\n    except:\n        break\nL.reverse()\nfor i in L:\n    print(i)"
            ],
            "pass1_list": [
                false,
                true,
                true,
                true,
                true,
                false,
                false,
                false,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [x + y + z for x in a for y in b for z in c]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n = int(input())\na = list(map(int, input().split()))\nm = int(input())\nb = list(map(int, input().split()))\nl = int(input())\nc = list(map(int, input().split()))\nq = int(input())\nx = list(map(int, input().split()))\n\nfor i in x:\n    if i in [a[j] + b[k] + c[p] for j in range(n) for k in range(m) for p in range(l)]:\n        print(\"Yes\")\n    else:\n        print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "t = input()\r\nn = int(input())\r\ndp = [float(\"inf\")] * (len(t) + 1)\r\ndp[0] = 0\r\nfor _ in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for ss in s:\r\n        for i in range(len(t), -1, -1):\r\n            if i + len(ss) <= len(t) and t[i : i + len(ss)] == ss:\r\n                dp[i + len(ss)] = min(dp[i + len(ss)], dp[i] + 1)\r\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)\r",
                "t = input()\r\nn = int(input())\r\ndp = [float(\"inf\")] * (len(t) + 1)\r\ndp[0] = 0\r\nfor _ in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for ss in s:\r\n        for i in range(len(t), -1, -1):\r\n            if i + len(ss) <= len(t) and t[i : i + len(ss)] == ss:\r\n                dp[i + len(ss)] = min(dp[i + len(ss)], dp[i] + 1)\r\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)\r",
                "t = input()\nn = int(input())\ndp = [float(\"inf\")] * (len(t) + 1)\ndp[0] = 0\nfor _ in range(n):\n    a, *s = input().split()\n    a = int(a)\n    for i in s:\n        for j in range(len(t), -1, -1):\n            if j + len(i) <= len(t) and t[j : j + len(i)] == i:\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j])\n        for j in range(len(t), -1, -1):\n            if j + len(i) <= len(t) and dp[j] != float(\"inf\"):\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j] + 1)\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)",
                "t = input()\nn = int(input())\n\ndp = [10**10] * (len(t) + 1)\ndp[0] = 0\n\nfor _ in range(n):\n    a, *s = input().split()\n    a = int(a)\n    for ss in s:\n        for i in range(len(t), -1, -1):\n            if t[:i] + ss == t[: i + len(ss)]:\n                dp[i + len(ss)] = min(dp[i + len(ss)], dp[i] + 1)\n\nprint(dp[-1] if dp[-1] < 10**10 else -1)",
                "t = input()\nn = int(input())\ndp = [float(\"inf\")] * (len(t) + 1)\ndp[0] = 0\nfor _ in range(n):\n    a, *s = input().split()\n    a = int(a)\n    for i in s:\n        for j in range(len(t), -1, -1):\n            if j + len(i) <= len(t) and t[j:] == i:\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j])\n        for j in range(len(t), -1, -1):\n            if j + len(i) <= len(t) and t[:j] + i == t[: j + len(i)]:\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j] + 1)\nprint(dp[len(t)] if dp[len(t)] != float(\"inf\") else -1)",
                "t = input()\r\nn = int(input())\r\ndp = [float(\"inf\")] * (len(t) + 1)\r\ndp[0] = 0\r\nfor _ in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for i in s:\r\n        for j in range(len(t), -1, -1):\r\n            if j + len(i) <= len(t) and t[j : j + len(i)] == i:\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j])\r\n    for i in s:\r\n        for j in range(len(t), -1, -1):\r\n            if j + len(i) <= len(t):\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j] + 1)\r\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)\r",
                "t = input()\r\nn = int(input())\r\ndp = [[0 for i in range(len(t) + 1)] for j in range(n + 1)]\r\nfor i in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for j in s:\r\n        for k in range(len(t) + 1):\r\n            if k + len(j) <= len(t) and t[k : k + len(j)] == j:\r\n                dp[i + 1][k + len(j)] = min(dp[i + 1][k + len(j)], dp[i][k] + 1)\r\n            dp[i + 1][k] = min(dp[i + 1][k], dp[i][k])\r\nprint(dp[n][len(t)] if dp[n][len(t)] <= n else -1)\r",
                "t = input()\r\nn = int(input())\r\ndp = [float(\"inf\")] * (len(t) + 1)\r\ndp[0] = 0\r\nfor _ in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for i in s:\r\n        for j in range(len(t), -1, -1):\r\n            if j + len(i) <= len(t) and t[j : j + len(i)] == i:\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j])\r\n    for i in s:\r\n        for j in range(len(t), -1, -1):\r\n            if j + len(i) <= len(t):\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j] + 1)\r\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)\r",
                "t = input()\r\nn = int(input())\r\ndp = [float(\"inf\")] * (len(t) + 1)\r\ndp[0] = 0\r\nfor _ in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for i in s:\r\n        for j in range(len(t), -1, -1):\r\n            if j + len(i) <= len(t) and t[j : j + len(i)] == i:\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j])\r\n        for j in range(len(t), -1, -1):\r\n            if j + len(i) <= len(t) and dp[j] != float(\"inf\"):\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j] + 1)\r\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)\r",
                "t = input()\r\nn = int(input())\r\ndp = [float(\"inf\")] * (len(t) + 1)\r\ndp[0] = 0\r\nfor _ in range(n):\r\n    a, *s = input().split()\r\n    a = int(a)\r\n    for i in s:\r\n        for j in range(len(t), -1, -1):\r\n            if t[:j] + i == t[: j + len(i)]:\r\n                dp[j + len(i)] = min(dp[j + len(i)], dp[j] + 1)\r\nprint(dp[-1] if dp[-1] != float(\"inf\") else -1)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        A = A[: A.index(x) + 1] + [y] + A[A.index(x) + 1 :]\n    else:\n        x = query[1]\n        A.remove(x)\n\nprint(*A)",
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\n\nfor _ in range(q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        a.insert(a.index(x) + 1, y)\n    else:\n        x = query[1]\n        a.remove(x)\n\nprint(\" \".join(map(str, a)))",
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\n\nfor _ in range(q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        a.insert(a.index(x) + 1, y)\n    else:\n        x = query[1]\n        a.remove(x)\n\nprint(*a)",
                "from collections import deque\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        A = A[: A.index(x) + 1] + [y] + A[A.index(x) + 1 :]\n    else:\n        x = query[1]\n        A.remove(x)\n\nprint(*A)",
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\nfor _ in range(q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        a = a[: a.index(x)] + [y] + a[a.index(x) :]\n    else:\n        x = query[1]\n        a.remove(x)\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\nfor i in range(q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        a.insert(a.index(x) + 1, y)\n    else:\n        a.remove(query[1])\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\n\nfor _ in range(q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        a.insert(a.index(x) + 1, y)\n    else:\n        x = query[1]\n        a.remove(x)\n\nprint(*a)",
                "n = int(input())\na = list(map(int, input().split()))\nq = int(input())\n\nfor _ in range(q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        a = a[: a.index(x) + 1] + [y] + a[a.index(x) + 1 :]\n    else:\n        x = query[1]\n        a.remove(x)\n\nprint(*a)",
                "from collections import deque\n\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\n\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        A.insert(A.index(x) + 1, y)\n    else:\n        x = query[1]\n        A.remove(x)\n\nprint(*A)",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\nA = list(map(int, input().split()))\nQ = int(input())\nfor _ in range(Q):\n    query = list(map(int, input().split()))\n    if query[0] == 1:\n        x, y = query[1:]\n        A.insert(A.index(x) + 1, y)\n    else:\n        x = query[1]\n        A.remove(x)\nprint(*A)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "x = int(input())\nprint((x + 9) // 10)",
                "X = int(input())\nprint((X + 9) // 10)",
                "x = int(input())\nprint((x + 9) // 10)",
                "x = int(input())\nprint((x + 9) // 10)",
                "x = int(input())\r\nprint((x + 9) // 10)\r",
                "x = int(input())\nprint((x + 9) // 10)",
                "x = int(input())\nprint((x + 9) // 10)",
                "x = int(input())\nprint((x + 9) // 10)",
                "x = int(input())\nprint((x + 9) // 10)",
                "x = int(input())\nprint((x + 9) // 10)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, h, w = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i][0] == a[j][1] and a[i][1] == a[j][0]:\n            a[i][0], a[i][1] = a[j][0], a[j][1]\n\na.sort(key=lambda x: x[0] * x[1], reverse=True)\n\ndef dfs(i, cnt, used, h, w):\n    if cnt == h * w:\n        return True\n    if i == n:\n        return False\n    if used[i]:\n        return dfs(i + 1, cnt, used, h, w)\n    for j in range(4):\n        if a[i][0] <= h and a[i][1] <= w:\n            used[i] = True\n            for k in range(a[i][0]):\n                for l in range(a[i][1]):\n                    if cnt == h * w:\n                        return True\n                    if used[cnt]:\n                        break\n                    used[cnt] = True\n                    cnt += 1\n                    if dfs(i, cnt, used, h, w):\n                        return True\n                    cnt -= 1\n                    used[cnt] = False\n            used[i] = False\n        a[i][0], a[i][1] = a[i][1], a[i][0]\n    return dfs(i + 1, cnt, used, h, w)\n\nused = [False] * (n + h * w)\nif dfs(0, 0, used, h, w):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, h, w = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i][0] == a[j][0] and a[i][1] == a[j][1]:\n            n -= 1\n            a.remove(a[j])\n            break\n\nif h % 2 == 1:\n    for i in range(n):\n        if a[i][0] == h and a[i][1] == 1:\n            n -= 1\n            a.remove(a[i])\n            break\nif w % 2 == 1:\n    for i in range(n):\n        if a[i][0] == 1 and a[i][1] == w:\n            n -= 1\n            a.remove(a[i])\n            break\n\nif h % 2 == 0 and w % 2 == 0:\n    if h == 2 and w == 2:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelif h % 2 == 0:\n    if w % 2 == 1:\n        if w == 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        for i in range(n):\n            if a[i][0] == h and a[i][1] == 1:\n                n -= 1\n                a.remove(a[i])\n                break\n        if w % 4 == 0:\n            print(\"Yes\")\n        else:\n            print(\"No\")\nelse:\n    if h % 2 == 1:\n        if h == 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        for i in range(n):\n            if a[i][0] == 1 and a[i][1] == w:\n                n -= 1\n                a.remove(a[i])\n                break\n        if h % 4 == 0:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "n, h, w = map(int, input().split())\n\ntiles = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    tiles += [(a, b), (b, a), (a, b), (b, a)]\n\ndef dfs(i, cnt, used, h, w):\n    if cnt == h * w:\n        return True\n    if i == n:\n        return False\n    if used[i]:\n        return dfs(i + 1, cnt, used, h, w)\n\n    used[i] = True\n    for j in range(4):\n        for k in range(h - tiles[i][j] + 1):\n            for l in range(w - tiles[i][1 - j] + 1):\n                if all(used[x] or tiles[x] == (j < 2 and tiles[i][j - j % 2] - k - 1, 1 - j) or tiles[x] == (1 - j < 2 and tiles[i][j - j % 2] - 1, j + l) for x in range(n)):\n                    if dfs(i + 1, cnt + tiles[i][0] * tiles[i][1], used, h, w):\n                        return True\n    used[i] = False\n    return False\n\nif dfs(0, 0, [False] * n, h, w):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, h, w = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i] == a[j]:\n            n -= 1\n            a.pop(j)\n            break\n\na.sort(key=lambda x: x[0] * x[1], reverse=True)\n\nif sum(a[0][0] * a[0][1] for a in a) < h * w:\n    print(\"No\")\nelse:\n    if h == 1 or w == 1:\n        if len(a) == 1 and a[0][0] == h and a[0][1] == w:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    elif h == w:\n        if len(a) == 1 and a[0][0] == h:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        print(\"Yes\")",
                "n, h, w = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i][0] == a[j][1] and a[i][1] == a[j][0]:\n            a[j][0], a[j][1] = a[j][1], a[j][0]\n\na.sort(key=lambda x: (x[0], x[1]))\n\ndef dfs(i, cnt, used, h, w):\n    if cnt == h * w:\n        return True\n    if i == n:\n        return False\n    if used[i]:\n        return dfs(i + 1, cnt, used, h, w)\n    for j in range(4):\n        if j % 2 == 0:\n            if a[i][0] <= h and a[i][1] <= w:\n                used[i] = True\n                if dfs(i, cnt + a[i][0] * a[i][1], used, h, w):\n                    return True\n                used[i] = False\n        else:\n            if a[i][0] <= w and a[i][1] <= h:\n                used[i] = True\n                if dfs(i, cnt + a[i][1] * a[i][0], used, h, w):\n                    return True\n                used[i] = False\n    return False\n\nused = [False] * n\nif dfs(0, 0, used, h, w):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, h, w = map(int, input().split())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i] == a[j]:\n            n -= 1\n            a.pop(j)\n            break\n\nif h % 2 == 1 and w % 2 == 1:\n    if [1, 1] in a:\n        a.remove([1, 1])\n    if [1, 2] in a:\n        a.remove([1, 2])\n        a.append([2, 1])\n    if [2, 1] in a:\n        a.remove([2, 1])\n        a.append([1, 2])\n\nif h % 2 == 1:\n    if [1, 3] in a:\n        a.remove([1, 3])\n        a.append([3, 1])\n    if [3, 1] in a:\n        a.remove([3, 1])\n        a.append([1, 3])\n\nif w % 2 == 1:\n    if [1, 2] in a:\n        a.remove([1, 2])\n        a.append([2, 1])\n    if [2, 1] in a:\n        a.remove([2, 1])\n        a.append([1, 2])\n\nif [1, 1] in a:\n    a.remove([1, 1])\n\nif h * w == sum([a[i][0] * a[i][1] for i in range(len(a))]):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, h, w = map(int, input().split())\n\ntiles = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    tiles.append([a, b])\n\nfor i in range(n):\n    for j in range(i + 1, n):\n        if tiles[i][0] == tiles[j][1] and tiles[i][1] == tiles[j][0]:\n            tiles[j][0], tiles[j][1] = tiles[j][1], tiles[j][0]\n            break\n\ndef dfs(i, cnt, used, h, w):\n    if cnt == h * w:\n        return True\n    if i == n:\n        return False\n    if used[i]:\n        return dfs(i + 1, cnt, used, h, w)\n\n    used[i] = True\n    for k in range(4):\n        if k % 2 == 0:\n            a, b = tiles[i][0], tiles[i][1]\n        else:\n            a, b = tiles[i][1], tiles[i][0]\n\n        if a > h or b > w:\n            continue\n\n        for x in range(h - a + 1):\n            for y in range(w - b + 1):\n                if all(used[l] or tiles[l][0] + x > h or tiles[l][1] + y > w for l in range(i) if not (x < tiles[l][0] < x + a and y < tiles[l][1] < y + b)):\n                    if dfs(i, cnt + a * b, used, h, w):\n                        return True\n\n    used[i] = False\n    return False\n\nif dfs(0, 0, [False] * n, h, w):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, h, w = map(int, input().split())\n\ntiles = []\nfor _ in range(n):\n    a, b = map(int, input().split())\n    tiles.append([a, b])\n\ndef is_valid(h, w, tiles):\n    for a, b in tiles:\n        if a > h or b > w:\n            return False\n    if sum(a for a, _ in tiles) != h or sum(b for _, b in tiles) != w:\n        return False\n    return True\n\ndef rotate_tile(a, b):\n    return [b, a]\n\ndef flip_tile(a, b):\n    return [a, b][::-1]\n\ndef solve(h, w, tiles):\n    if is_valid(h, w, tiles):\n        return True\n    for i in range(len(tiles)):\n        tiles[i] = rotate_tile(*tiles[i])\n        if solve(h, w, tiles):\n            return True\n        tiles[i] = rotate_tile(*tiles[i])\n        if solve(h, w, tiles):\n            return True\n        tiles[i] = flip_tile(*tiles[i])\n        if solve(h, w, tiles):\n            return True\n        tiles[i] = rotate_tile(*tiles[i])\n        if solve(h, w, tiles):\n            return True\n        tiles[i] = rotate_tile(*tiles[i])\n    return False\n\nif solve(h, w, tiles):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, h, w = map(int, input().split())\na = [list(map(int, input().split())) for i in range(n)]\n\nfor i in range(n):\n    if a[i][0] > h or a[i][1] > w:\n        print(\"No\")\n        exit()\n\nif sum(a[i][0] * a[i][1] for i in range(n)) < h * w:\n    print(\"No\")\n    exit()\n\nif h % 2 == 1 and w % 2 == 1:\n    if n == 1:\n        if a[0][0] == 1 and a[0][1] == 1:\n            print(\"Yes\")\n            exit()\n    if n >= 3:\n        if (1, 1) in a and (a[1][0] == a[2][0] == h // 2) and (a[1][1] == a[2][1] == w // 2):\n            print(\"Yes\")\n            exit()\n\nif h % 2 == 1:\n    if n >= 2:\n        if (1, 1) in a and (a[1][0] == h // 2, w) in a:\n            print(\"Yes\")\n            exit()\n\nif w % 2 == 1:\n    if n >= 2:\n        if (1, 1) in a and (h, w // 2) in a:\n            print(\"Yes\")\n            exit()\n\nif h % 2 == 0 and w % 2 == 0:\n    if n >= 4:\n        if (1, 1) in a and (h // 2, 1) in a and (h // 2, w // 2) in a and (1, w // 2) in a:\n            print(\"Yes\")\n            exit()\n\nprint(\"No\")",
                "n, h, w = map(int, input().split())\na = [list(map(int, input().split())) for _ in range(n)]\n\nfor i in range(n):\n    a[i].append(i)\na.sort(key=lambda x: x[0] * x[1])\n\ndef dfs(i, cnt, used):\n    if cnt == h * w:\n        return True\n    if i == n:\n        return False\n    for j in range(4):\n        if j % 2 == 0:\n            x, y = a[i][0], a[i][1]\n        else:\n            x, y = a[i][1], a[i][0]\n        if x > h or y > w:\n            continue\n        for k in range(h - x + 1):\n            for l in range(w - y + 1):\n                if any(used[k + m][l : l + y] == [i] for m in range(x)):\n                    break\n            else:\n                continue\n            break\n        else:\n            for m in range(x):\n                for k in range(l, l + y):\n                    used[k][m] = i\n            if dfs(i + 1, cnt + x * y, used):\n                return True\n            for m in range(x):\n                for k in range(l, l + y):\n                    used[k][m] = 0\n            break\n    return False\n\nused = [[0] * w for _ in range(h)]\nif dfs(0, 0, used):\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")",
                "n = int(input())\na = list(map(int, input().split()))\nfor i in range(n - 1):\n    print(a[i] * a[i + 1], end=\" \")"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif s.count(\"w\", 0, w + b) == w and s.count(\"b\", 0, w + b) == b:\n    print(\"Yes\")\nelse:\n    for i in range(len(s)):\n        if s.count(\"w\", i, i + w + b) == w and s.count(\"b\", i, i + w + b) == b:\n            print(\"Yes\")\n            exit()\n    print(\"No\")",
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelse:\n    if w + b <= 15:\n        if s.count(\"w\", 0, w + b) == w and s.count(\"b\", 0, w + b) == b:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        if s.count(\"w\", 0, 15) >= w and s.count(\"b\", 0, 15) >= b:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "w, b = map(int, input().split())\ns = \"wbwbwwbwbwbw\"\n\nfor i in range(len(s)):\n    if s[i:i + w + b].count(\"w\") == w and s[i:i + w + b].count(\"b\") == b:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelse:\n    if w + b <= 15:\n        if s.count(\"w\", 0, w + b) == w and s.count(\"b\", 0, w + b) == b:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        if s.count(\"w\", 0, 15) >= w and s.count(\"b\", 0, 15) >= b:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelse:\n    if w + b <= 15:\n        if s.count(\"w\", 0, w + b) == w and s.count(\"b\", 0, w + b) == b:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        if s.count(\"w\", 0, 15) >= w and s.count(\"b\", 0, 15) >= b:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "w, b = map(int, input().split())\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelif w == 0:\n    if \"b\" * b in s:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelif b == 0:\n    if \"w\" * w in s:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    for i in range(len(s)):\n        if \"w\" * w in s[i:] and \"b\" * b in s[i:]:\n            print(\"Yes\")\n            break\n    else:\n        print(\"No\")",
                "w, b = map(int, input().split())\ns = \"wbwbwwbwbwbw\"\nfor i in range(len(s)):\n    if s[i:i + w + b].count(\"w\") == w and s[i:i + w + b].count(\"b\") == b:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")",
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelse:\n    flag = False\n    for i in range(len(s)):\n        if w == 0 and b == 0:\n            flag = True\n            break\n        elif w == 0 or b == 0:\n            continue\n        elif w + b > len(s) - i:\n            break\n        else:\n            cnt = 0\n            for j in range(i, i + w + b):\n                if s[j] == \"w\":\n                    cnt += 1\n                if cnt == w:\n                    flag = True\n                    break\n            if flag:\n                break\n    print(\"Yes\" if flag else \"No\")",
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelif w == 0:\n    if b % 2 == 0:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelif b == 0:\n    if w % 2 == 0:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    if w % 2 == 0 and b % 2 == 0:\n        print(\"Yes\")\n    elif w % 2 == 1 and b % 2 == 1:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "w, b = map(int, input().split())\n\ns = \"wbwbwwbwbwbw\"\n\nif w == 0 and b == 0:\n    print(\"No\")\nelif w == 0:\n    if b % 2 == 0:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelif b == 0:\n    if w % 2 == 0:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    if (w + b) % 15 == 0:\n        print(\"Yes\")\n    else:\n        print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\nb = set(a)\ns = 0\nfor i in range(1, k + 1):\n    if i not in b:\n        s += i\nprint(s)",
                "n, k = map(int, input().split())\na = set(map(int, input().split()))\nans = 0\nfor i in range(1, k + 1):\n    if i not in a:\n        ans += i\nprint(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\ns = set(a)\nans = 0\nfor i in range(1, k + 1):\n    if i not in s:\n        ans += i\nprint(ans)",
                "n, k = map(int, input().split())\na = set(map(int, input().split()))\nprint(sum(i for i in range(1, k + 1) if i not in a))",
                "n, k = map(int, input().split())\na = set(map(int, input().split()))\ns = 0\nfor i in range(1, k + 1):\n    if i not in a:\n        s += i\nprint(s)",
                "n, k = map(int, input().split())\na = set(map(int, input().split()))\nprint(sum(i for i in range(1, k + 1) if i not in a))",
                "n, k = map(int, input().split())\na = set(map(int, input().split()))\nprint(sum(i for i in range(1, k + 1) if i not in a))",
                "n, k = map(int, input().split())\na = set(map(int, input().split()))\nprint((k * (k + 1)) // 2 - sum(a & set(range(1, k + 1))))",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\ns = set(a)\nans = 0\nfor i in range(1, k + 1):\n    if i not in s:\n        ans += i\nprint(ans)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\ns = set(a)\nans = 0\nfor i in range(1, k + 1):\n    if i not in s:\n        ans += i\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = min(c[0], c[1])\n\nfor i in range(2, n):\n    if s[i] == s[i - 1]:\n        if s[i] != s[i - 2]:\n            ans += c[i]\n        else:\n            ans += min(c[i], c[i - 1])\n    else:\n        ans += min(c[i], c[i - 1])\n\nprint(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(n - 1):\n        if s[i] == s[i + 1]:\n            ans += c[i]\n    print(ans)\nelse:\n    ans = min(c[0], c[1])\n    for i in range(2, n - 1):\n        if s[i] == s[i - 1]:\n            ans += c[i]\n        elif s[i] == s[i - 2]:\n            ans += min(c[i - 1], c[i])\n        else:\n            ans = min(ans + c[i - 1], c[i - 1] + c[i])\n    if s[n - 1] == s[n - 2]:\n        ans += 0\n    else:\n        ans += c[n - 1]\n    print(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = min(c[0], c[1])\n\nfor i in range(2, n):\n    if s[i] == s[i - 1]:\n        if s[i] != s[i - 2]:\n            ans += c[i]\n        else:\n            ans += min(c[i], c[i - 1])\n    else:\n        ans += min(c[i], c[i - 1])\n\nprint(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = c[0] + c[1]\n\nfor i in range(2, n):\n    if s[i] == s[i - 1]:\n        ans += min(c[i - 1], c[i])\n    elif s[i] == s[i - 2]:\n        ans += c[i - 1]\n\nprint(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = min(c[0], c[1])\n    for i in range(2, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\n        else:\n            ans += min(c[i - 1], c[i])\n\nfor i in range(n - 1):\n    if s[i] == s[i + 1]:\n        ans = min(ans, c[i])\n\nprint(ans)",
                "n = int(input())\r\ns = input()\r\nc = list(map(int, input().split()))\r\n\r\nif s[0] == s[1]:\r\n    ans = 0\r\n    for i in range(n):\r\n        if s[i] != s[i - 1]:\r\n            ans += c[i]\r\nelse:\r\n    ans = c[0] + c[1]\r\n    for i in range(2, n):\r\n        if s[i] != s[i - 1]:\r\n            ans += c[i]\r\n\r\nprint(ans)\r",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = c[0] + c[1]\n\nfor i in range(2, n):\n    if s[i] == s[i - 1]:\n        ans += min(c[i - 1], c[i])\n    else:\n        ans += c[i]\n\nprint(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = min(c[0], c[1])\n\nfor i in range(2, n):\n    if s[i] == s[i - 1]:\n        ans += c[i]\n    elif s[i - 2] != s[i - 1]:\n        ans = min(ans, c[i - 1] + c[i])\n    else:\n        ans = min(ans, c[i - 2] + c[i])\n\nprint(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = min(c[0], c[1])\n\nfor i in range(2, n - 1):\n    if s[i] == s[i - 1]:\n        ans += c[i]\n    elif s[i] == s[i - 2]:\n        ans = min(ans, ans + c[i - 1] + c[i])\n    else:\n        ans = min(ans, ans + min(c[i - 1], c[i]))\n\nif s[-1] == s[-2]:\n    ans += 0\nelse:\n    ans += c[-1]\n\nprint(ans)",
                "n = int(input())\ns = input()\nc = list(map(int, input().split()))\n\nif s[0] == s[1]:\n    ans = 0\n    for i in range(1, n):\n        if s[i] != s[i - 1]:\n            ans += c[i]\n            break\nelse:\n    ans = min(c[0], c[1])\n\nfor i in range(2, n - 1):\n    if s[i] == s[i - 1]:\n        ans += c[i]\n    elif s[i] == s[i - 2]:\n        ans += min(c[i - 1], c[i])\n    else:\n        ans += min(c[i - 1], c[i])\n\nif s[-1] == s[-2]:\n    pass\nelif s[-2] == s[-3]:\n    ans += c[-2]\nelse:\n    ans += min(c[-2], c[-1])\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(H, W, M) = map(int, input().split())\ngrid = [0] * (H * W)\nrow = [0] * (H + 1)\ncol = [0] * (W + 1)\ncolor = {}\nfor i in range(M):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        row[a] = x\n    else:\n        col[a] = x\n    if row[a] or col[a]:\n        color[row[a] or col[a]] = color.get(row[a] or col[a], 0) + 1\nans = []\nfor i in range(H):\n    for j in range(W):\n        if grid[i * W + j] == 0:\n            grid[i * W + j] = row[i] or col[j]\n            if grid[i * W + j]:\n                color[grid[i * W + j]] = color.get(grid[i * W + j], 0) + 1\nprint(len(color))\nfor i in sorted(color.keys()):\n    print(i, color[i] * (H * W))",
                "h, w, m = map(int, input().split())\ngrid = [[0] * w for _ in range(h)]\ncolor_count = {}\n\nfor _ in range(m):\n    t, a, x = map(int, input().split())\n    if t == 1:\n        for j in range(w):\n            grid[a - 1][j] = x\n    else:\n        for i in range(h):\n            grid[i][a - 1] = x\n    color_count[x] = color_count.get(x, 0) + 1\n\ncolor_list = sorted(color_count.keys())\nprint(len(color_list))\nfor c in color_list:\n    print(c, color_count[c] * (h if c != 0 else w))",
                "h, w, m = map(int, input().split())\n\nrow = [0] * (h + 1)\ncol = [0] * (w + 1)\ncolor = {}\n\nfor _ in range(m):\n    t, a, x = map(int, input().split())\n    if t == 1:\n        row[a] = x\n    else:\n        col[a] = x\n\nfor i in range(1, h + 1):\n    c = row[i]\n    if c != 0:\n        color[c] = color.get(c, 0) + 1\n\nfor i in range(1, w + 1):\n    c = col[i]\n    if c != 0:\n        color[c] = color.get(c, 0) + 1\n\ncolor[0] = h * w - sum(color.values())\n\nprint(len(color))\nfor c in sorted(color.keys()):\n    print(c, color[c])",
                "import sys\n\ninput = sys.stdin.readline\n(h, w, m) = map(int, input().split())\ncolor = [0] * (2 * 10**5 + 1)\ncolor[0] = h * w\nfor _ in range(m):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        color[x] += a * w\n        color[0] -= a * w\n    else:\n        color[x] += a * h\n        color[0] -= a * h\nans = []\nfor i in range(2 * 10**5 + 1):\n    if color[i] > 0:\n        ans.append(str(i) + \" \" + str(color[i]))\nans.sort()\nprint(len(ans))\nprint(\"\\n\".join(ans))",
                "from collections import Counter\n\n(h, w, m) = map(int, input().split())\ngrid = [[0] * w for _ in range(h)]\ncolor_count = Counter()\nfor _ in range(m):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        grid[a - 1] = [x] * w\n    else:\n        for i in range(h):\n            grid[i][a - 1] = x\n    color_count[x] += 1\n\ncolors = sorted(color_count.keys())\nprint(len(colors))\nfor c in colors:\n    print(c, color_count[c])",
                "from collections import Counter\n\n(h, w, m) = map(int, input().split())\ngrid = Counter([0] * (h * w))\nfor _ in range(m):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        grid[x] += w\n    else:\n        grid[x] += h\n\nprint(len(grid))\nfor c, n in sorted(grid.items()):\n    print(c, n)",
                "from collections import Counter\n\n(h, w, m) = map(int, input().split())\ngrid = Counter([0] * (h * w))\nfor _ in range(m):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        grid[x] += w\n    else:\n        grid[x] += h\n\nprint(len(grid))\nfor c, n in sorted(grid.items()):\n    print(c, n)",
                "from collections import Counter\n\n(h, w, m) = map(int, input().split())\ngrid = [[0] * w for _ in range(h)]\nfor _ in range(m):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        grid[a - 1] = [x] * w\n    else:\n        for i in range(h):\n            grid[i][a - 1] = x\ncolors = Counter(sum(grid, []))\nprint(len(colors))\nfor c in sorted(colors):\n    print(c, colors[c] * (h if c != 0 else w))",
                "from collections import defaultdict\n\nh, w, m = map(int, input().split())\n\ngrid = defaultdict(int)\n\nfor _ in range(m):\n    t, a, x = map(int, input().split())\n    if t == 1:\n        grid[x] += w\n    else:\n        grid[x] += h\n\ngrid[0] += h * w\n\nprint(len(grid))\nfor k, v in sorted(grid.items()):\n    print(k, v)",
                "from collections import Counter\n\n(h, w, m) = map(int, input().split())\ngrid = Counter({0: h * w})\nfor _ in range(m):\n    (t, a, x) = map(int, input().split())\n    if t == 1:\n        if x in grid:\n            grid[x] -= 1\n        grid[x] += w\n    else:\n        if x in grid:\n            grid[x] -= 1\n        grid[x] += h\nprint(len(grid) - 1)\nfor c, n in sorted(grid.items()):\n    if c != 0:\n        print(c, n)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\n\r\nans = sorted([i // k for i in a if i % k == 0])\r\n\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r",
                "n, k = map(int, input().split())\r\na = list(map(int, input().split()))\r\nans = sorted([i // k for i in a if i % k == 0])\r\nprint(*ans)\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nn = len(s)\nans = 0\r\n\r\nfor i in range(n):\r\n    ans += i + 1\r\n    ans += n - i\r\n\r\nprint(ans)",
                "s = input()\nn = len(s)\nans = n * (n + 1) // 2\nprint(ans)",
                "s = input()\nn = len(s)\nprint(n * (n + 1) // 2)",
                "s = input()\nn = len(s)\nans = 0\nfor i in range(n):\n    ans += i + 1\nfor i in range(n - 1):\n    ans += n - i - 1\nprint(ans)",
                "s = input()\nn = len(s)\nprint(n * (n + 1) // 2)",
                "s = input()\nn = len(s)\nprint(n * (n + 1) // 2)",
                "s = input()\nn = len(s)\nans = 0\nfor i in range(n):\n    ans += i + 1\nfor i in range(n - 1):\n    ans += n - i - 1\nprint(ans)",
                "s = input()\nn = len(s)\nans = 0\nfor i in range(n):\n    ans += i + 1\n    ans += n - i\nprint(ans)",
                "s = input()\nn = len(s)\nprint(n * (n + 1) // 2)",
                "s = input()\nn = len(s)\nprint(n * (n + 1) // 2)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a:\n        print(\"No\")\n        break\n    elif i == a:\n        if d.index(i) == len(d) - 1:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a:\n        print(\"No\")\n        break\n    if i == a:\n        print(\"Yes\")\n        break\nelse:\n    print(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in range(n):\n    d[i] = (d[i] - 1) % (a + b)\nif all((d[i] < a for i in range(n))):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a:\n        print(\"No\")\n        break\n    elif i == a:\n        a += b\nelse:\n    print(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a or i % (a + b) > a:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in range(n):\n    if d[i] > a:\n        print(\"No\")\n        exit()\n    d[i] = d[i] - a\n    if d[i] < 0:\n        d[i] = d[i] + a + b\nfor i in range(n - 1):\n    if d[i] >= a and d[i + 1] < a:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a or i % (a + b) > a:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a:\n        print(\"No\")\n        break\n    if i == a:\n        a += b\nelse:\n    print(\"Yes\")",
                "(n, a, b) = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in d:\n    if i > a:\n        print(\"No\")\n        break\n    if i == a:\n        a += b\nelse:\n    print(\"Yes\")",
                "n, a, b = map(int, input().split())\nd = list(map(int, input().split()))\nfor i in range(n):\n    if d[i] > a:\n        print(\"No\")\n        break\n    if i == n - 1:\n        print(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nx = list(map(int, input().split()))\ns = set()\na = [0] * (n + 1)\nfor i in x:\n    if i in s:\n        s.remove(i)\n        a[i] -= len(s)\n    else:\n        s.add(i)\n        a[i] += len(s)\nprint(*a[1:])",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\na = [0] * n\ns = set()\nfor i in range(q):\n    x = int(input())\n    if x in s:\n        s.remove(x)\n    else:\n        s.add(x)\n    for j in s:\n        a[j - 1] += len(s)\nprint(*a)",
                "from collections import defaultdict\n\n(n, q) = map(int, input().split())\ns = set()\nd = defaultdict(int)\nfor x in map(int, input().split()):\n    if x in s:\n        s.remove(x)\n    else:\n        s.add(x)\n    d[x] += len(s)\nprint(*[d[i + 1] for i in range(n)])",
                "import sys\n\ninput = sys.stdin.readline\n(N, Q) = map(int, input().split())\nX = list(map(int, input().split()))\nA = [0] * N\nS = set()\nfor i in range(Q):\n    x = X[i]\n    if x in S:\n        S.remove(x)\n    else:\n        S.add(x)\n    for j in range(N):\n        if j + 1 in S:\n            A[j] += len(S)\nprint(*A)",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nx = list(map(int, input().split()))\na = [0] * (n + 1)\ns = set()\nfor i in x:\n    if i in s:\n        s.remove(i)\n    else:\n        s.add(i)\n    for j in s:\n        a[j] += len(s)\nprint(*a[1:])",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nx = list(map(int, input().split()))\na = [0] * n\ns = set()\nfor i in range(q):\n    if x[i] in s:\n        s.remove(x[i])\n    else:\n        s.add(x[i])\n    for j in s:\n        a[j - 1] += len(s)\nprint(*a)",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\nx = list(map(int, input().split()))\na = [0] * n\ns = set()\nfor i in range(q):\n    if x[i] in s:\n        s.remove(x[i])\n    else:\n        s.add(x[i])\n    for j in s:\n        a[j - 1] += len(s)\nprint(*a)",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\na = [0] * n\ns = set()\nfor x in map(int, input().split()):\n    if x in s:\n        s.remove(x)\n    else:\n        s.add(x)\n    for j in range(n):\n        if j + 1 in s:\n            a[j] += len(s)\nprint(*a)",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\na = [0] * n\ns = set()\nfor x in map(int, input().split()):\n    if x in s:\n        s.remove(x)\n    else:\n        s.add(x)\n    for j in range(n):\n        if j + 1 in s:\n            a[j] += len(s)\nprint(*a)",
                "import sys\n\ninput = sys.stdin.readline\n(n, q) = map(int, input().split())\na = [0] * n\ns = set()\nfor i in range(q):\n    x = int(input())\n    if x in s:\n        s.remove(x)\n    else:\n        s.add(x)\n    for j in s:\n        a[j - 1] += len(s)\nprint(*a)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nfor i in range(n):\n    if i % 3 == 0:\n        print(\"x\", end=\"\")\n    else:\n        print(\"o\", end=\"\")",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\nfor i in range(n):\n    if i % 3 == 0:\n        print(\"x\", end=\"\")\n    else:\n        print(\"o\", end=\"\")",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r",
                "n = int(input())\r\nfor i in range(n):\r\n    if i % 3 == 0:\r\n        print(\"x\", end=\"\")\r\n    else:\r\n        print(\"o\", end=\"\")\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y))\r\n\r\ndef distance(p1, p2):\r\n    return ((p1[0] - p2[0]) ** 2 + (p1[1] - p2[1]) ** 2) ** 0.5\r\n\r\nfor i in range(n):\r\n    farthest_dist = 0\r\n    farthest_id = 0\r\n    for j in range(n):\r\n        if i != j:\r\n            dist = distance(points[i], points[j])\r\n            if dist > farthest_dist or (dist == farthest_dist and j < farthest_id):\r\n                farthest_dist = dist\r\n                farthest_id = j + 1\r\n    print(farthest_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y))\r\n\r\nfor i in range(n):\r\n    max_dist = 0\r\n    max_id = 1\r\n    for j in range(n):\r\n        if i != j:\r\n            dist = (points[i][0] - points[j][0]) ** 2 + (points[i][1] - points[j][1]) ** 2\r\n            if dist > max_dist:\r\n                max_dist = dist\r\n                max_id = j + 1\r\n    print(max_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append([x, y, i + 1])\r\n\r\nfor i in range(n):\r\n    max_dist = 0\r\n    min_id = i + 1\r\n    for j in range(n):\r\n        if i != j:\r\n            dist = (points[i][0] - points[j][0]) ** 2 + (points[i][1] - points[j][1]) ** 2\r\n            if dist > max_dist:\r\n                max_dist = dist\r\n                min_id = points[j][2]\r\n    print(min_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y, i + 1))\r\n\r\nfor i in range(n):\r\n    farthest_dist = 0\r\n    farthest_id = 1\r\n    for x, y, id in points:\r\n        if i != id - 1:\r\n            dist = (x - points[i][0]) ** 2 + (y - points[i][1]) ** 2\r\n            if dist > farthest_dist:\r\n                farthest_dist = dist\r\n                farthest_id = id\r\n    print(farthest_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y, i + 1))\r\n\r\nfor i in range(n):\r\n    max_dist = 0\r\n    farthest_id = 1\r\n    for x, y, id in points:\r\n        if id != i + 1:\r\n            dist = (x - points[i][0]) ** 2 + (y - points[i][1]) ** 2\r\n            if dist > max_dist:\r\n                max_dist = dist\r\n                farthest_id = id\r\n    print(farthest_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append([x, y, i + 1])\r\n\r\nfor i in range(n):\r\n    max_dist = 0\r\n    farthest_point = 1\r\n    for j in range(n):\r\n        if i != j:\r\n            dist = (points[i][0] - points[j][0]) ** 2 + (points[i][1] - points[j][1]) ** 2\r\n            if dist > max_dist:\r\n                max_dist = dist\r\n                farthest_point = points[j][2]\r\n    print(farthest_point)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y))\r\n\r\nfor i in range(n):\r\n    max_dist = 0\r\n    max_id = 0\r\n    for j in range(n):\r\n        if i != j:\r\n            dist = (points[i][0] - points[j][0]) ** 2 + (points[i][1] - points[j][1]) ** 2\r\n            if dist > max_dist:\r\n                max_dist = dist\r\n                max_id = j + 1\r\n    print(max_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y))\r\n\r\ndef distance(p1, p2):\r\n    return ((p1[0] - p2[0]) ** 2 + (p1[1] - p2[1]) ** 2) ** 0.5\r\n\r\nfor i in range(n):\r\n    farthest_dist = 0\r\n    farthest_id = 1\r\n    for j in range(n):\r\n        if i != j:\r\n            d = distance(points[i], points[j])\r\n            if d > farthest_dist:\r\n                farthest_dist = d\r\n                farthest_id = j + 1\r\n    print(farthest_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y, i + 1))\r\n\r\nfor i in range(n):\r\n    max_dist = 0\r\n    farthest_id = 1\r\n    for x, y, id in points:\r\n        if i != id - 1:\r\n            dist = (x - points[i][0]) ** 2 + (y - points[i][1]) ** 2\r\n            if dist > max_dist:\r\n                max_dist = dist\r\n                farthest_id = id\r\n    print(farthest_id)\r",
                "n = int(input())\r\npoints = []\r\nfor i in range(n):\r\n    x, y = map(int, input().split())\r\n    points.append((x, y))\r\n\r\ndef distance(p1, p2):\r\n    return ((p1[0] - p2[0]) ** 2 + (p1[1] - p2[1]) ** 2) ** 0.5\r\n\r\nfor i in range(n):\r\n    farthest_dist = 0\r\n    farthest_id = 0\r\n    for j in range(n):\r\n        if i != j:\r\n            dist = distance(points[i], points[j])\r\n            if dist > farthest_dist or (dist == farthest_dist and j < farthest_id):\r\n                farthest_dist = dist\r\n                farthest_id = j + 1\r\n    print(farthest_id)\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[0])\nb = []\nfor i in a:\n    b.append(i[1])\nc = []\nfor i in range(n):\n    if b[i] not in c:\n        c.append(b[i])\nc.sort()\nd = []\nfor i in c:\n    d.append(a[b.index(i)][0])\nprint(max(d))",
                "n = int(input())\n\ncolor_dict = {}\n\nfor i in range(n):\n    a, c = map(int, input().split())\n    if c not in color_dict:\n        color_dict[c] = a\n    else:\n        color_dict[c] = min(color_dict[c], a)\n\nprint(max(color_dict.values()))",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append([y, x])\na.sort(key=lambda x: x[1])\nans = 0\nfor i in range(n - 1, -1, -1):\n    if a[i][1] > ans:\n        ans = a[i][1]\nprint(ans)",
                "n = int(input())\nac = []\nfor i in range(n):\n    a, c = map(int, input().split())\n    ac.append((a, c))\nac.sort(reverse=True)\n\ncolor = {}\nfor a, c in ac:\n    if c not in color:\n        color[c] = a\n\nans = 0\nfor a in color.values():\n    ans = max(ans, a)\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append([x, y])\na.sort(key=lambda x: x[0])\n\nd = {}\nfor i in a:\n    if i[1] not in d:\n        d[i[1]] = i[0]\n    else:\n        d[i[1]] = min(d[i[1]], i[0])\n\nprint(max(d.values()))",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[0])\nb = []\nfor i in range(n):\n    if a[i][1] not in b:\n        b.append(a[i][1])\nans = 0\nfor i in b:\n    j = 0\n    while j < n:\n        if a[j][1] == i:\n            ans = max(ans, a[j][0])\n            break\n        j += 1\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[0])\nd = {}\nfor i in a:\n    if i[1] not in d:\n        d[i[1]] = i[0]\n    else:\n        d[i[1]] = min(d[i[1]], i[0])\nprint(max(d.values()))",
                "n = int(input())\n\nbeans = []\nfor i in range(n):\n    a, c = map(int, input().split())\n    beans.append((a, c))\n\nbeans.sort(reverse=True)\n\ncolor_dict = {}\nfor bean in beans:\n    a, c = bean\n    if c not in color_dict:\n        color_dict[c] = a\n\nprint(max(color_dict.values()))",
                "n = int(input())\nac = []\nfor i in range(n):\n    a, c = map(int, input().split())\n    ac.append((a, c))\nac.sort(reverse=True)\n\ncolor = {}\nfor a, c in ac:\n    if c not in color:\n        color[c] = a\n\nans = 0\nfor a in color.values():\n    ans = max(ans, a)\nprint(ans)",
                "n = int(input())\n\nbeans = []\nfor _ in range(n):\n    a, c = map(int, input().split())\n    beans.append((a, c))\n\nbeans.sort(reverse=True)\n\ncolor_dict = {}\nfor a, c in beans:\n    if c not in color_dict:\n        color_dict[c] = a\n\nprint(max(color_dict.values()))"
            ],
            "pass1_list": [
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(H, W) = map(int, input().split())\ngrid = [list(input()) for _ in range(H)]\nN = int(input())\nmeds = [list(map(int, input().split())) for _ in range(N)]\n\nstart = (None, None)\ngoal = (None, None)\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            start = (i, j)\n            grid[i][j] = \".\"\n        elif grid[i][j] == \"T\":\n            goal = (i, j)\n            grid[i][j] = \".\"\n\ndist = [[-1] * W for _ in range(H)]\ndist[start[0]][start[1]] = 0\nq = deque([start])\nwhile q:\n    (i, j) = q.popleft()\n    for ni, nj in ((i + 1, j), (i - 1, j), (i, j + 1), (i, j - 1)):\n        if 0 <= ni < H and 0 <= nj < W and grid[ni][nj] == \".\":\n            if dist[ni][nj] == -1 or dist[ni][nj] > dist[i][j] + 1:\n                dist[ni][nj] = dist[i][j] + 1\n                q.append((ni, nj))\n\nif dist[goal[0]][goal[1]] == -1:\n    print(\"No\")\nelse:\n    print(\"Yes\")",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [list(input()) for _ in range(h)]\nn = int(input())\nmeds = [list(map(int, input().split())) for _ in range(n)]\n\nstart = (None, None)\ngoal = (None, None)\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            start = (i, j)\n            grid[i][j] = \".\"\n        elif grid[i][j] == \"T\":\n            goal = (i, j)\n            grid[i][j] = \".\"\n\ndist = [[-1] * w for _ in range(h)]\ndist[start[0]][start[1]] = 0\nq = deque([start])\nwhile q:\n    (i, j) = q.popleft()\n    for ni, nj in ((i + 1, j), (i - 1, j), (i, j + 1), (i, j - 1)):\n        if 0 <= ni < h and 0 <= nj < w and grid[ni][nj] == \".\":\n            if dist[ni][nj] == -1 or dist[ni][nj] > dist[i][j] + 1:\n                dist[ni][nj] = dist[i][j] + 1\n                q.append((ni, nj))\n\nfor med in meds:\n    (ri, rj, re) = med\n    if dist[ri][rj] != -1 and dist[goal[0]][goal[1]] > re - dist[ri][rj]:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\" if dist[goal[0]][goal[1]] != -1 else \"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\ngrid = [input() for _ in range(h)]\nn = int(input())\nmed = [list(map(int, input().split())) for _ in range(n)]\n\nsy, sx, gy, gx = -1, -1, -1, -1\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"T\":\n            gy, gx = i, j\n\ndist = [[10**9] * w for _ in range(h)]\ndist[sy][sx] = 0\nq = deque([(sy, sx, 0)])\nwhile q:\n    y, x, e = q.popleft()\n    for i, j, d in med:\n        if e + d < dist[i][j]:\n            dist[i][j] = e + d\n            q.append((i, j, dist[i][j]))\n    for dy, dx in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] != \"#\":\n            if dist[y][x] + 1 < dist[ny][nx]:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx, dist[ny][nx]))\n\nif dist[gy][gx] <= h + w:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\nn = int(input())\nmeds = [list(map(int, input().split())) for _ in range(n)]\ns = (0, 0)\nt = (0, 0)\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            s = (i, j)\n        elif grid[i][j] == \"T\":\n            t = (i, j)\ndist = [[-1] * w for _ in range(h)]\ndist[s[0]][s[1]] = 0\nq = deque([s])\nwhile q:\n    (i, j) = q.popleft()\n    for ni, nj in ((i + 1, j), (i - 1, j), (i, j + 1), (i, j - 1)):\n        if 0 <= ni < h and 0 <= nj < w and grid[ni][nj] != \"#\":\n            if dist[ni][nj] == -1 or dist[ni][nj] > dist[i][j] + 1:\n                dist[ni][nj] = dist[i][j] + 1\n                q.append((ni, nj))\nans = \"No\"\nfor r, c, e in meds:\n    r -= 1\n    c -= 1\n    if dist[r][c] != -1 and dist[t[0]][t[1]] <= dist[r][c] + e:\n        ans = \"Yes\"\nprint(ans)",
                "from collections import deque\n\n(H, W) = map(int, input().split())\nA = [input() for _ in range(H)]\nN = int(input())\nmed = [list(map(int, input().split())) for _ in range(N)]\n\nsy = sx = -1\nty = tx = -1\nfor i in range(H):\n    for j in range(W):\n        if A[i][j] == \"S\":\n            (sy, sx) = (i, j)\n        elif A[i][j] == \"T\":\n            (ty, tx) = (i, j)\n\ndist = [[-1] * W for _ in range(H)]\ndist[sy][sx] = 0\nq = deque([(sy, sx, 0)])\nwhile q:\n    (y, x, e) = q.popleft()\n    for i, j, k in med:\n        if e >= k and (0 <= i - y <= 1) and (0 <= j - x <= 1):\n            if dist[i][j] == -1 or dist[i][j] > e - k:\n                dist[i][j] = e - k\n                q.append((i, j, e - k))\n\n\ndef valid(y, x, e):\n    if 0 <= y < H and 0 <= x < W and (A[y][x] != \"#\") and (dist[y][x] <= e):\n        return True\n    return False\n\n\nfor i, j, k in med:\n    if valid(i, j, k) and valid(ty, tx, k):\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "from collections import deque\n\n(H, W) = map(int, input().split())\ngrid = [list(input()) for _ in range(H)]\nN = int(input())\nmeds = [list(map(int, input().split())) for _ in range(N)]\n\nstart = (None, None)\ngoal = (None, None)\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            start = (i, j)\n            grid[i][j] = \".\"\n        elif grid[i][j] == \"T\":\n            goal = (i, j)\n            grid[i][j] = \".\"\n\ndist = [[-1] * W for _ in range(H)]\ndist[start[0]][start[1]] = 0\nq = deque([start])\nwhile q:\n    (i, j) = q.popleft()\n    for ni, nj in ((i + 1, j), (i - 1, j), (i, j + 1), (i, j - 1)):\n        if 0 <= ni < H and 0 <= nj < W and grid[ni][nj] == \".\":\n            if dist[ni][nj] == -1 or dist[ni][nj] > dist[i][j] + 1:\n                dist[ni][nj] = dist[i][j] + 1\n                q.append((ni, nj))\n\nfor r, c, e in meds:\n    r -= 1\n    c -= 1\n    if dist[r][c] != -1 and (dist[goal[0]][goal[1]] == -1 or dist[r][c] + dist[goal[0]][goal[1]] > e):\n        dist[goal[0]][goal[1]] = -1\n    if dist[r][c] == -1 or dist[r][c] + 1 > e:\n        dist[r][c] = -1\n\nprint(\"Yes\" if dist[goal[0]][goal[1]] != -1 else \"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\ngrid = [list(input()) for _ in range(h)]\nn = int(input())\nmeds = [list(map(int, input().split())) for _ in range(n)]\n\nstart, goal = None, None\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            start = (i, j)\n        elif grid[i][j] == \"T\":\n            goal = (i, j)\n\ndist = [[-1] * w for _ in range(h)]\ndist[start[0]][start[1]] = 0\nq = deque([start])\nwhile q:\n    i, j = q.popleft()\n    for ni, nj in ((i + 1, j), (i - 1, j), (i, j + 1), (i, j - 1)):\n        if 0 <= ni < h and 0 <= nj < w and grid[ni][nj] == \".\":\n            if dist[ni][nj] == -1 or dist[ni][nj] > dist[i][j] + 1:\n                dist[ni][nj] = dist[i][j] + 1\n                q.append((ni, nj))\n\nfor r, c, e in meds:\n    r -= 1\n    c -= 1\n    if dist[r][c] != -1 and (dist[goal[0]][goal[1]] == -1 or dist[r][c] + dist[goal[0]][goal[1]] - 1 > e):\n        dist[goal[0]][goal[1]] = -1\n    if dist[goal[0]][goal[1]] != -1 and dist[r][c] + dist[goal[0]][goal[1]] - 1 < e:\n        dist[r][c] = e - dist[goal[0]][goal[1]] + 1\n\nprint(\"Yes\" if dist[goal[0]][goal[1]] != -1 else \"No\")",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [list(input()) for _ in range(h)]\nn = int(input())\nmeds = [list(map(int, input().split())) for _ in range(n)]\ns = (0, 0)\nt = (0, 0)\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            s = (i, j)\n        elif grid[i][j] == \"T\":\n            t = (i, j)\nvisited = [[False] * w for _ in range(h)]\ndist = [[float(\"inf\")] * w for _ in range(h)]\nq = deque([(s, 0)])\nwhile q:\n    (i, j), e = q.popleft()\n    if (i, j) == t:\n        print(\"Yes\")\n        exit()\n    if e > 0:\n        q.append((i, j))\n        q.append((i, j))\n        for ni, nj, ne in meds:\n            if ni == i and nj == j:\n                q.append(((ni, nj), ne))\n    for ni, nj in [(i - 1, j), (i + 1, j), (i, j - 1), (i, j + 1)]:\n        if 0 <= ni < h and 0 <= nj < w and grid[ni][nj] != \"#\":\n            if e == 0:\n                continue\n            if not visited[ni][nj] and dist[ni][nj] > e - 1:\n                dist[ni][nj] = e - 1\n                visited[ni][nj] = True\n                q.append(((ni, nj), dist[ni][nj]))\nprint(\"No\")",
                "from collections import deque\n\nH, W = map(int, input().split())\ngrid = [input() for _ in range(H)]\nN = int(input())\nmeds = [list(map(int, input().split())) for _ in range(N)]\n\nstart = [None, None]\ngoal = [None, None]\nfor i in range(H):\n    for j in range(W):\n        if grid[i][j] == \"S\":\n            start = [i, j]\n        elif grid[i][j] == \"T\":\n            goal = [i, j]\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\n\ndef bfs():\n    q = deque([(start, 0)])\n    visited = set()\n    while q:\n        (x, y), e = q.popleft()\n        if (x, y) == goal:\n            return True\n        if (x, y, e) in visited:\n            continue\n        visited.add((x, y, e))\n        for k in range(4):\n            nx, ny = x + dx[k], y + dy[k]\n            if 0 <= nx < H and 0 <= ny < W and grid[nx][ny] == \".\":\n                q.append(((nx, ny), e - 1))\n                for med in meds:\n                    if med[0] == nx + 1 and med[1] == ny + 1:\n                        q.append(((nx, ny), med[2]))\n    return False\n\n\nif bfs():\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "from collections import deque\n\nh, w = map(int, input().split())\ngrid = [input() for _ in range(h)]\nn = int(input())\nmed = [list(map(int, input().split())) for _ in range(n)]\n\nsy, sx = 0, 0\ngy, gx = 0, 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \"S\":\n            sy, sx = i, j\n        elif grid[i][j] == \"T\":\n            gy, gx = i, j\n\ndist = [[float(\"inf\") for _ in range(w)] for _ in range(h)]\ndist[sy][sx] = 0\nq = deque([(sy, sx, 0)])\nwhile q:\n    y, x, e = q.popleft()\n    for i, j, k in med:\n        if e + k < dist[i][j]:\n            dist[i][j] = e + k\n            q.append((i, j, e + k))\n    for dy, dx in [(0, 1), (1, 0), (0, -1), (-1, 0)]:\n        ny, nx = y + dy, x + dx\n        if 0 <= ny < h and 0 <= nx < w and grid[ny][nx] != \"#\":\n            if dist[y][x] + 1 < dist[ny][nx]:\n                dist[ny][nx] = dist[y][x] + 1\n                q.append((ny, nx, dist[y][x]))\n\nif dist[gy][gx] != float(\"inf\"):\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\nn = int(input())\n\ngraph = [[] for _ in range(n + 1)]\n\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\nc = list(map(int, input().split()))\n\nq = deque([(1, 0)])\n\nwhile q:\n    v, d = q.popleft()\n    for u in graph[v]:\n        graph[u].remove(v)\n        q.append((u, d + 1))\n\nans = float(\"inf\")\n\nfor i in range(n):\n    ans = min(ans, c[i] * (n - 1) - sum(c[j] for j in range(n) if d[i][j] % 2))\n\nprint(ans)",
                "from collections import defaultdict\n\nn = int(input())\ngraph = defaultdict(list)\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nc = list(map(int, input().split()))\n\nstack = [(1, -1, 0)]\ndist = [0] * (n + 1)\nwhile stack:\n    v, p, d = stack.pop()\n    for u in graph[v]:\n        if u != p:\n            dist[u] = d + 1\n            stack.append((u, v, dist[u]))\n\nans = float(\"inf\")\nfor i in range(1, n + 1):\n    ans = min(ans, sum(c[j] * dist[i] for j in range(1, n + 1)))\nprint(ans)",
                "from collections import defaultdict\n\nn = int(input())\ngraph = defaultdict(list)\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nc = list(map(int, input().split()))\n\nleaves = [v for v in graph if len(graph[v]) == 1]\n\nwhile leaves:\n    leaf = leaves.pop()\n    parent = graph[leaf].pop()\n    c[parent - 1] += c[leaf - 1]\n    if len(graph[parent]) == 1:\n        leaves.append(parent)\n\nprint(sum(c) // 2)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\ngraph = [[] for i in range(N)]\n\nfor i in range(N - 1):\n    A, B = map(int, input().split())\n    A -= 1\n    B -= 1\n    graph[A].append(B)\n    graph[B].append(A)\n\nC = list(map(int, input().split()))\n\nfrom collections import deque\n\nq = deque()\nq.append((0, -1, 0))\n\ndist = [0] * N\n\nwhile q:\n    node, prev, d = q.popleft()\n    dist[node] = d\n    for i in graph[node]:\n        if i == prev:\n            continue\n        q.append((i, node, d + 1))\n\nans = 0\nfor i in range(N):\n    ans += C[i] * dist[i]\n\nprint(ans)",
                "from collections import defaultdict\n\nn = int(input())\ngraph = defaultdict(list)\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nc = list(map(int, input().split()))\n\nstack = [(1, -1, 0)]\ndist = [0] * (n + 1)\nwhile stack:\n    v, parent, d = stack.pop()\n    for u in graph[v]:\n        if u == parent:\n            continue\n        dist[u] = d + 1\n        stack.append((u, v, d + 1))\n\nans = 0\nfor i in range(1, n + 1):\n    ans += c[i - 1] * dist[i]\nprint(ans)",
                "from collections import defaultdict\n\nn = int(input())\ngraph = defaultdict(list)\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nc = list(map(int, input().split()))\n\nleaves = []\nfor i in range(1, n + 1):\n    if len(graph[i]) == 1:\n        leaves.append(i)\n\ndef dfs(node, parent):\n    global res, c\n    cnt = 0\n    for child in graph[node]:\n        if child != parent:\n            cnt += dfs(child, node)\n    res += c[node - 1] * cnt\n    return cnt + 1\n\nres = 0\nfor leaf in leaves:\n    dfs(leaf, 0)\nprint(res)",
                "from collections import defaultdict\n\nn = int(input())\ntree = defaultdict(list)\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    tree[a].append(b)\n    tree[b].append(a)\nc = list(map(int, input().split()))\n\nstack = [(1, 0, 0)]\nvisited = set()\nwhile stack:\n    v, depth, dist = stack.pop()\n    if v not in visited:\n        visited.add(v)\n        dist += c[v - 1] * depth\n        for nv in tree[v]:\n            stack.append((nv, depth + 1, dist))\n\nprint(min(dist for v, depth, dist in stack))",
                "from collections import deque\n\nn = int(input())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(n - 1):\n    a, b = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\nc = list(map(int, input().split()))\n\nq = deque()\nq.append((1, 0))\ndist = [0] * (n + 1)\nwhile q:\n    v, d = q.popleft()\n    dist[v] = d\n    for nv in graph[v]:\n        if dist[nv] == 0:\n            dist[nv] = d + 1\n            q.append((nv, d + 1))\n\nans = 0\nfor i in range(n):\n    ans += c[i] * dist[i + 1]\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\ngraph = [[] for _ in range(N)]\n\nfor _ in range(N - 1):\n    a, b = map(int, input().split())\n    a -= 1\n    b -= 1\n    graph[a].append(b)\n    graph[b].append(a)\n\nC = list(map(int, input().split()))\n\nfrom collections import deque\n\nQ = deque()\nQ.append((0, 0))\n\ndist = [0] * N\n\nwhile Q:\n    node, d = Q.popleft()\n    dist[node] = d\n    for i in graph[node]:\n        if dist[i] == 0:\n            dist[i] = d + 1\n            Q.append((i, d + 1))\n\nans = 0\nfor i in range(N):\n    ans += C[i] * dist[i]\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\n\ntree = [[] for i in range(N)]\n\nfor i in range(N - 1):\n    a, b = map(int, input().split())\n    a -= 1\n    b -= 1\n    tree[a].append(b)\n    tree[b].append(a)\n\nC = list(map(int, input().split()))\n\ndp = [0] * N\n\nstack = [(0, 0)]\n\nwhile stack:\n    node, depth = stack.pop()\n    dp[node] = depth\n    for next_node in tree[node]:\n        stack.append((next_node, depth + 1))\n\nans = 10**18\nfor i in range(N):\n    ans = min(ans, dp[i] * C[i])\n\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = list(map(int, input().split()))\r\nprint(sum(a))\r",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nprint(sum(a))\r",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a))",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nprint(sum(a))\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nprint(sum(a))\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nprint(sum(a))\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nprint(sum(a))\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        exit()\n    if i > 2:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "def main():\n    s = input()\n    d = {}\n    for c in s:\n        if c in d:\n            d[c] += 1\n        else:\n            d[c] = 1\n    c = 0\n    for v in d.values():\n        if v == 1:\n            c += 1\n    print(\"Yes\" if c == 0 or c == 2 else \"No\")\n\n\nmain()",
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        exit()\n    if i > 2:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")",
                "s = input()\nl = [0] * 26\nfor i in s:\n    l[ord(i) - ord(\"a\")] += 1\nc = 0\nfor i in l:\n    if i != 0 and i != 2:\n        c += 1\nif c == 0:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        exit()\n    if i > 2:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        exit()\n    if i > 2:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        exit()\n    if i > 2:\n        print(\"No\")\n        exit()\nprint(\"Yes\")",
                "def main():\n    s = input()\n    freq = {}\n    for c in s:\n        if c in freq:\n            freq[c] += 1\n        else:\n            freq[c] = 1\n    count = [0] * (len(s) + 1)\n    for f in freq.values():\n        count[f] += 1\n    for i in range(1, len(s) + 1):\n        if count[i] != 0 and count[i] != 2:\n            print(\"No\")\n            return\n    print(\"Yes\")\n\n\nmain()",
                "from collections import Counter\n\ns = input()\nc = Counter(s)\nfor i in c.values():\n    if i == 1:\n        print(\"No\")\n        break\nelse:\n    print(\"Yes\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\nelse:\n    s1 = list(s)\n    s2 = []\n    for i in range(len(s1)):\n        if s1[i] == t[0]:\n            s2.append(s1[i])\n            s1[i] = \"0\"\n        if len(s2) == 1:\n            break\n\n    s1 = list(s)\n    s2 = []\n    for i in range(len(s1)):\n        if s1[i] == t[1]:\n            s2.append(s1[i])\n            s1[i] = \"0\"\n        if len(s2) == 1:\n            break\n\n    s1 = list(s)\n    s2 = []\n    for i in range(len(s1)):\n        if s1[i] == t[2]:\n            s2.append(s1[i])\n            s1[i] = \"0\"\n        if len(s2) == 1:\n            break\n\n    if len(s2) == 3:\n        print(\"Yes\")\n    else:\n        s1 = list(s)\n        s2 = []\n        for i in range(len(s1)):\n            if s1[i] == t[0]:\n                s2.append(s1[i])\n                s1[i] = \"0\"\n            if len(s2) == 1:\n                break\n\n        s1 = list(s)\n        s2 = []\n        for i in range(len(s1)):\n            if s1[i] == t[1]:\n                s2.append(s1[i])\n                s1[i] = \"0\"\n            if len(s2) == 1:\n                break\n\n        if len(s2) == 2 and t[2] == \"X\":\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\n    exit()\n\nif t[2] == \"X\":\n    if t[0] in s and t[1] in s:\n        print(\"Yes\")\n        exit()\n    else:\n        print(\"No\")\n        exit()\n\nif t[0] in s and t[1] in s and t[2] in s:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\nelse:\n    if t[2] == \"X\":\n        if t[0] in s and t[1] in s:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        if t[0] in s and t[1] in s and t[2] in s:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\n    exit()\n\nif t[2] == \"X\":\n    if t[0] in s and t[1] in s:\n        print(\"Yes\")\n        exit()\nelse:\n    if t[0] in s and t[1] in s and t[2] in s:\n        print(\"Yes\")\n        exit()\n\nprint(\"No\")",
                "s = input()\nt = input()\nif t[2] == \"X\":\n    for i in range(len(s) - 1):\n        if s[i] == t[0] and s[i + 1] == t[1]:\n            print(\"Yes\")\n            exit()\n    print(\"No\")\nelse:\n    for i in range(len(s) - 2):\n        if s[i] == t[0] and s[i + 1] == t[1] and s[i + 2] == t[2]:\n            print(\"Yes\")\n            exit()\n    print(\"No\")",
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\nelse:\n    s1 = list(s)\n    t1 = list(t)\n    if t1[2] == \"X\":\n        if t1[0] in s1 and t1[1] in s1:\n            print(\"Yes\")\n        else:\n            print(\"No\")\n    else:\n        if t1[0] in s1 and t1[1] in s1 and t1[2] in s1:\n            print(\"Yes\")\n        else:\n            print(\"No\")",
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\nelse:\n    for i in range(len(s) - 2):\n        if s[i] + s[i + 1] + s[i + 2] == t or s[i] + s[i + 1] == t[:2]:\n            print(\"Yes\")\n            exit()\n    print(\"No\")",
                "s = input()\nt = input()\nprint(\"Yes\" if (s.count(t[0].lower()) + s.count(t[1].lower()) + s.count(t[2].lower())) >= 2 else \"No\")",
                "s = input()\nt = input()\nif t[2] == \"X\":\n    for i in range(len(s) - 1):\n        if s[i] == t[0] and s[i + 1] == t[1]:\n            print(\"Yes\")\n            exit()\n    print(\"No\")\nelse:\n    for i in range(len(s) - 2):\n        if s[i] == t[0] and s[i + 1] == t[1] and s[i + 2] == t[2]:\n            print(\"Yes\")\n            exit()\n    print(\"No\")",
                "s = input()\nt = input()\n\nif len(s) < 3:\n    print(\"No\")\n    exit()\n\nif t[2] == \"X\":\n    if t[0] in s and t[1] in s:\n        print(\"Yes\")\n        exit()\n    else:\n        print(\"No\")\n        exit()\n\nif t[0] in s and t[1] in s and t[2] in s:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L & 1:\n            ans.append((L, L + 1))\n            L += 1\n        x = L\n        cnt = 0\n        while x & 1 == 0:\n            cnt += 1\n            x >>= 1\n        x = 1 << cnt\n        y = L + x - 1\n        ans.append((L, y))\n        L = y + 1\n    print(len(ans))\n    for l, r in ans:\n        print(l, r)\n\n\nmain()",
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L & 1:\n            ans.append((L, L + 1))\n            L += 1\n        x = L\n        L = R\n        R = 2 * R\n        while R > x:\n            R //= 2\n    ans.append((L, R))\n    print(len(ans))\n    for a, b in ans:\n        print(a, b)\n\n\nmain()",
                "from sys import stdin\n\ninput = stdin.readline\n(L, R) = map(int, input().split())\nans = []\nwhile L < R:\n    if L & 1:\n        L += 1\n    x = L.bit_length()\n    y = (R - 1) // (1 << x) + 1\n    ans.append((L, L + (1 << x) * y - 1))\n    L += (1 << x) * y\nprint(len(ans))\nfor l, r in ans:\n    print(l, r)",
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L & 1:\n            ans.append((L, L + 1))\n            L += 1\n        x = L\n        while x < R and not (x & 1):\n            x = x + 1\n        ans.append((L, x))\n        L = x\n    print(len(ans))\n    for a, b in ans:\n        print(a, b)\n\n\nmain()",
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L & 1:\n            ans.append((L, L + 1))\n            L += 1\n        x = L\n        while x & (x + 1) == 0:\n            x >>= 1\n        y = x\n        while y & (y + 1) == 0:\n            y = (y >> 1) + 1\n        ans.append((L, y << (L - x).bit_length()))\n        L = y << (L - x).bit_length()\n    ans.append((L, R))\n    print(len(ans))\n    for l, r in ans:\n        print(l, r)\n\n\nmain()",
                "import sys\n\ninput = sys.stdin.readline\n(L, R) = map(int, input().split())\nans = []\nwhile L < R:\n    if L == 0:\n        ans.append((L, R))\n        break\n    x = L.bit_length() - 1\n    y = L >> x\n    if y == 0:\n        x -= 1\n        y = 1\n    else:\n        y -= 1\n    L2 = L + (1 << x)\n    if L2 > R:\n        L2 = R\n    ans.append((L, L2))\n    L = L2\nprint(len(ans))\nfor l, r in ans:\n    print(l, r)",
                "def main():\n    l, r = map(int, input().split())\n    ans = []\n    while l < r:\n        if l & 1:\n            l += 1\n        x = l\n        while x & (x + 1) == 0:\n            x &= x - 1\n        y = x\n        while y & (y + 1) == y:\n            y = (y + 1) & x\n        ans.append((l, l + y))\n        l += y + 1\n    print(len(ans))\n    for a, b in ans:\n        print(a, b)\n\n\nmain()",
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L == 0:\n            ans.append((0, R))\n            break\n        x = L.bit_length()\n        y = (L + (1 << x) - 1) // (1 << x)\n        ans.append((L, 1 << x * y))\n        L = 1 << x * y\n    print(len(ans))\n    for l, r in ans:\n        print(l, r)\n\n\nmain()",
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L & 1:\n            ans.append((L, L + 1))\n            L += 1\n        x = L\n        while x < R and not (x & 1):\n            x = x + 1\n        ans.append((L, x))\n        L = x\n    print(len(ans))\n    for a, b in ans:\n        print(a, b)\n\n\nmain()",
                "def main():\n    L, R = map(int, input().split())\n    ans = []\n    while L < R:\n        if L & 1:\n            ans.append((L, L + 1))\n            L += 1\n        x = L\n        while x & (x + 1) == 0:\n            x += 1\n        ans.append((L, x))\n        L = x\n    print(len(ans))\n    for l, r in ans:\n        print(l, r)\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a = []\nfor i in range(3):\n    a.append(list(map(int, input().split())))\n\nif a[0][0] + a[0][1] + a[0][2] == 0:\n    if a[1][0] + a[1][1] + a[1][2] == 0:\n        if a[2][0] + a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][0] + a[2][0] == 0:\n    if a[0][1] + a[1][1] + a[2][1] == 0:\n        if a[0][2] + a[1][2] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][1] + a[2][2] == 0:\n    if a[0][1] + a[1][1] + a[2][0] == 0:\n        if a[0][2] + a[1][2] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[2][0] + a[1][1] + a[0][2] == 0:\n    if a[2][1] + a[1][1] + a[0][0] == 0:\n        if a[2][2] + a[1][2] + a[0][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelse:\n    print(\"Takahashi\")",
                "a = []\nfor i in range(3):\n    a.append(list(map(int, input().split())))\n\nfor i in range(3):\n    for j in range(3):\n        if a[i][j] < 0:\n            a[i][j] = -a[i][j]\n            if i > 0:\n                a[i - 1][j] = -a[i - 1][j]\n            if i < 2:\n                a[i + 1][j] = -a[i + 1][j]\n            if j > 0:\n                a[i][j - 1] = -a[i][j - 1]\n            if j < 2:\n                a[i][j + 1] = -a[i][j + 1]\n\nif a[0][0] + a[0][1] + a[1][1] == 0 or a[0][1] + a[0][2] + a[1][2] == 0 or a[1][0] + a[1][1] + a[2][1] == 0 or a[1][1] + a[1][2] + a[2][2] == 0 or a[0][0] + a[1][0] + a[2][0] == 0 or a[1][1] + a[2][1] + a[2][2] == 0 or a[0][0] + a[1][1] + a[2][2] == 0 or a[0][2] + a[1][1] + a[2][0] == 0:\n    print(\"Aoki\")\nelse:\n    print(\"Takahashi\")",
                "a = [[int(i) for i in input().split()] for j in range(3)]\ns = sum(sum(i) for i in a)\nif s >= 0:\n    print(\"Takahashi\")\nelse:\n    print(\"Aoki\")",
                "a = []\nfor i in range(3):\n    a.append(list(map(int, input().split())))\n\nif a[0][0] + a[0][1] + a[0][2] == 0:\n    if a[1][0] + a[1][1] + a[1][2] == 0:\n        if a[2][0] + a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][0] + a[2][0] == 0:\n    if a[0][1] + a[1][1] + a[2][1] == 0:\n        if a[0][2] + a[1][2] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][1] + a[2][2] == 0:\n    if a[0][1] + a[1][1] + a[2][0] == 0:\n        if a[0][2] + a[1][2] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][2] + a[1][1] + a[2][0] == 0:\n    if a[0][1] + a[1][1] + a[2][2] == 0:\n        if a[0][0] + a[1][2] + a[2][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[2][0] + a[1][1] + a[0][2] == 0:\n    if a[2][1] + a[1][1] + a[0][0] == 0:\n        if a[2][2] + a[1][2] + a[0][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[2][2] + a[1][1] + a[0][0] == 0:\n    if a[2][1] + a[1][1] + a[0][2] == 0:\n        if a[2][0] + a[1][2] + a[0][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[1][0] + a[1][1] + a[1][2] == 0:\n    if a[0][0] + a[0][1] + a[0][2] == 0:\n        if a[2][0] + a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][0] + a[2][1] == 0:\n    if a[0][1] + a[1][1] + a[2][2] == 0:\n        if a[0][2] + a[1][2] + a[2][0] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][1] + a[1][1] + a[2][2] == 0:\n    if a[0][0] + a[1][0] + a[2][1] == 0:\n        if a[0][2] + a[1][2] + a[2][0] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][2] + a[1][1] + a[2][0] == 0:\n    if a[0][0] + a[1][2] + a[2][1] == 0:\n        if a[0][1] + a[1][0] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelse:\n    print(\"Takahashi\")",
                "a = [[int(i) for i in input().split()] for j in range(3)]\n\nif a[0][0] + a[0][1] + a[1][0] == 0:\n    if a[1][1] + a[1][2] + a[2][1] == 0:\n        if a[2][0] + a[2][2] == 0:\n            print(\"Aoki\")\n        elif a[2][0] + a[2][2] > 0:\n            print(\"Takahashi\")\n    elif a[1][1] + a[1][2] + a[2][1] > 0:\n        print(\"Takahashi\")\nelif a[0][0] + a[0][1] + a[1][0] > 0:\n    print(\"Takahashi\")\n\nif a[0][1] + a[0][2] + a[1][1] == 0:\n    if a[1][2] + a[2][1] + a[2][2] == 0:\n        if a[0][0] + a[2][0] == 0:\n            print(\"Aoki\")\n        elif a[0][0] + a[2][0] > 0:\n            print(\"Takahashi\")\n    elif a[1][2] + a[2][1] + a[2][2] > 0:\n        print(\"Takahashi\")\nelif a[0][1] + a[0][2] + a[1][1] > 0:\n    print(\"Takahashi\")\n\nif a[1][0] + a[1][1] + a[2][0] == 0:\n    if a[0][1] + a[1][2] + a[2][2] == 0:\n        if a[0][0] + a[0][2] == 0:\n            print(\"Aoki\")\n        elif a[0][0] + a[0][2] > 0:\n            print(\"Takahashi\")\n    elif a[0][1] + a[1][2] + a[2][2] > 0:\n        print(\"Takahashi\")\nelif a[1][0] + a[1][1] + a[2][0] > 0:\n    print(\"Takahashi\")",
                "a = []\nfor i in range(3):\n    a.append(list(map(int, input().split())))\n\nif a[0][0] + a[0][1] + a[0][2] == 0:\n    if a[1][1] == 0:\n        if a[2][0] + a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[1][2] == 0:\n        if a[2][0] + a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][0] + a[2][0] == 0:\n    if a[1][1] == 0:\n        if a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[1][2] == 0:\n        if a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][2] + a[1][2] + a[2][2] == 0:\n    if a[1][0] == 0:\n        if a[2][0] + a[2][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[1][1] == 0:\n        if a[2][0] + a[2][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][0] + a[1][1] + a[2][2] == 0:\n    if a[1][0] == 0:\n        if a[2][0] + a[2][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[1][2] == 0:\n        if a[2][0] + a[2][1] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelif a[0][2] + a[1][1] + a[2][0] == 0:\n    if a[1][0] == 0:\n        if a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[1][2] == 0:\n        if a[2][1] + a[2][2] == 0:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        print(\"Takahashi\")\nelse:\n    print(\"Takahashi\")",
                "a = []\nfor i in range(3):\n    a.append(list(map(int, input().split())))\n\nfor i in range(3):\n    for j in range(3):\n        if a[i][j] < 0:\n            a[i][j] *= -1\n            a[i][j] = -a[i][j]\n\nif a[0][0] + a[0][1] + a[0][2] > a[1][0] + a[1][1] + a[1][2]:\n    if a[0][0] + a[1][0] + a[2][0] > a[0][1] + a[1][1] + a[2][1]:\n        if a[0][0] + a[1][1] + a[2][2] > a[0][2] + a[1][2] + a[2][0]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\n    elif a[0][1] + a[1][1] + a[2][1] > a[0][0] + a[1][2] + a[2][0]:\n        if a[0][1] + a[1][1] + a[2][2] > a[0][0] + a[1][0] + a[2][1]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        if a[0][2] + a[1][1] + a[2][0] > a[0][0] + a[1][2] + a[2][2]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\nelif a[0][0] + a[0][1] + a[0][2] < a[1][0] + a[1][1] + a[1][2]:\n    if a[0][0] + a[1][0] + a[2][0] < a[0][1] + a[1][1] + a[2][1]:\n        if a[0][0] + a[1][1] + a[2][2] < a[0][2] + a[1][2] + a[2][0]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[0][1] + a[1][1] + a[2][1] < a[0][0] + a[1][2] + a[2][0]:\n        if a[0][1] + a[1][1] + a[2][2] < a[0][0] + a[1][0] + a[2][1]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\n    else:\n        if a[0][2] + a[1][1] + a[2][0] < a[0][0] + a[1][2] + a[2][2]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\nelse:\n    if a[0][0] + a[1][0] + a[2][0] > a[0][1] + a[1][1] + a[2][1]:\n        if a[2][0] + a[1][1] + a[0][2] > a[0][0] + a[1][2] + a[2][2]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[0][1] + a[1][1] + a[2][1] > a[0][0] + a[1][2] + a[2][0]:\n        if a[2][1] + a[1][1] + a[0][2] > a[0][0] + a[1][2] + a[2][2]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\n    else:\n        if a[0][2] + a[1][1] + a[2][2] > a[0][0] + a[1][2] + a[2][0]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")",
                "a = [[int(i) for i in input().split()] for _ in range(3)]\n\ns = sum(sum(i) for i in a)\n\nif s > 0:\n    print(\"Takahashi\")\nelse:\n    print(\"Aoki\")",
                "a = [[int(i) for i in input().split()] for j in range(3)]\ns = sum(sum(i) for i in a)\nif s > 0:\n    print(\"Takahashi\")\nelse:\n    print(\"Aoki\")",
                "a = []\nfor i in range(3):\n    a.append(list(map(int, input().split())))\n\nfor i in range(3):\n    for j in range(3):\n        if a[i][j] < 0:\n            a[i][j] *= -1\n            a[i][j] = -a[i][j]\n\nif a[0][0] + a[0][1] + a[0][2] > a[1][0] + a[1][1] + a[1][2]:\n    if a[0][0] + a[1][0] + a[2][0] > a[0][1] + a[1][1] + a[2][1]:\n        if a[0][0] + a[1][1] + a[2][2] > a[0][2] + a[1][2] + a[2][0]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\n    elif a[0][1] + a[1][1] + a[2][1] > a[0][0] + a[1][0] + a[2][0]:\n        if a[0][1] + a[1][1] + a[2][2] > a[2][0] + a[1][0] + a[0][2]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    else:\n        if a[2][0] + a[1][1] + a[0][2] > a[0][0] + a[1][2] + a[2][2]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\nelif a[0][0] + a[0][1] + a[0][2] < a[1][0] + a[1][1] + a[1][2]:\n    if a[0][0] + a[1][0] + a[2][0] < a[0][1] + a[1][1] + a[2][1]:\n        if a[0][0] + a[1][1] + a[2][2] < a[0][2] + a[1][2] + a[2][0]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[0][1] + a[1][1] + a[2][1] < a[0][0] + a[1][0] + a[2][0]:\n        if a[0][1] + a[1][1] + a[2][2] < a[2][0] + a[1][0] + a[0][2]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\n    else:\n        if a[2][0] + a[1][1] + a[0][2] < a[0][0] + a[1][2] + a[2][2]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\nelse:\n    if a[0][0] + a[1][0] + a[2][0] > a[0][1] + a[1][1] + a[2][1]:\n        if a[0][0] + a[1][1] + a[2][2] > a[0][2] + a[1][2] + a[2][0]:\n            print(\"Aoki\")\n        else:\n            print(\"Takahashi\")\n    elif a[0][1] + a[1][1] + a[2][1] > a[0][0] + a[1][0] + a[2][0]:\n        if a[0][1] + a[1][1] + a[2][2] > a[2][0] + a[1][0] + a[0][2]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")\n    else:\n        if a[2][0] + a[1][1] + a[0][2] > a[0][0] + a[1][2] + a[2][2]:\n            print(\"Takahashi\")\n        else:\n            print(\"Aoki\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s in [\"ABC316\"]:\n    print(\"No\")\nelif int(s[3:]) <= 349:\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "s = input()\nif s == \"ABC316\":\n    print(\"No\")\nelif int(s[3:]) <= 349 and int(s[3:]) != 316:\n    print(\"Yes\")\nelse:\n    print(\"No\")"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r",
                "n, q = map(int, input().split())\r\nt = list(map(int, input().split()))\r\na = [1] * n\r\nfor i in t:\r\n    a[i - 1] = 1 - a[i - 1]\r\nprint(a.count(1))\r"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nswaps = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        swaps.append((i + 1, j + 1))\r\n\r\nprint(len(swaps))\r\nfor i, j in swaps:\r\n    print(i, j)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nans = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        ans.append([i + 1, j + 1])\r\n\r\nprint(len(ans))\r\nfor i in ans:\r\n    print(*i)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nswaps = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        swaps.append((i + 1, j + 1))\r\n\r\nprint(len(swaps))\r\nfor i, j in swaps:\r\n    print(i, j)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nswaps = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        swaps.append([i + 1, j + 1])\r\n\r\nprint(len(swaps))\r\nfor i, j in swaps:\r\n    print(i, j)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nops = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = i + 1\r\n        while a[j - 1] != j:\r\n            j += 1\r\n        a[i], a[j - 1] = a[j - 1], a[i]\r\n        ops.append((i + 1, j))\r\n\r\nprint(len(ops))\r\nfor i, j in ops:\r\n    print(i, j)\r",
                "n = int(input())\na = list(map(int, input().split()))\n\nswaps = []\nfor i in range(n):\n    if a[i] != i + 1:\n        j = i + 1\n        while a[j - 1] != j:\n            j += 1\n        swaps.append((i, j - 1))\n        a[i], a[j - 1] = a[j - 1], a[i]\n\nprint(len(swaps))\nfor i, j in swaps:\n    print(i + 1, j + 1)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nswaps = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        swaps.append([i + 1, j + 1])\r\n\r\nprint(len(swaps))\r\nfor i, j in swaps:\r\n    print(i, j)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nans = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        ans.append([i + 1, j + 1])\r\n\r\nprint(len(ans))\r\nfor i in ans:\r\n    print(*i)\r",
                "n = int(input())\na = list(map(int, input().split()))\n\nswaps = []\n\nfor i in range(n):\n    while a[i] != i + 1:\n        j = a.index(i + 1)\n        a[i], a[j] = a[j], a[i]\n        swaps.append([i + 1, j + 1])\n\nprint(len(swaps))\nfor i in swaps:\n    print(*i)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\n\r\nans = []\r\nfor i in range(n):\r\n    if a[i] != i + 1:\r\n        j = a.index(i + 1)\r\n        a[i], a[j] = a[j], a[i]\r\n        ans.append([i + 1, j + 1])\r\n\r\nprint(len(ans))\r\nfor i in ans:\r\n    print(*i)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\ngraph = [[] for i in range(N + 1)]\n\nfor a, b in AB:\n    graph[a].append(b)\n    graph[b].append(a)\n\ncolor = [-1] * (N + 1)\n\ndef dfs(v, c):\n    color[v] = c\n    for u in graph[v]:\n        if color[u] == -1:\n            dfs(u, c ^ 1)\n\nans = 0\nfor i in range(1, N + 1):\n    if color[i] == -1:\n        dfs(i, 0)\n        for i in range(1, N + 1):\n            if color[i] == 0:\n                ans += len([u for u in graph[i] if color[u] == 1])\n            else:\n                ans += len([u for u in graph[i] if color[u] == 0])\n\nprint(ans // 2)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfrom collections import deque\n\ngraph = [[] for i in range(N + 1)]\n\nfor a, b in AB:\n    graph[a].append(b)\n    graph[b].append(a)\n\ncolor = [-1] * (N + 1)\ncolor[0] = 0\n\nq = deque([0])\n\nwhile q:\n    now = q.popleft()\n    for next in graph[now]:\n        if color[next] == -1:\n            color[next] = 1 - color[now]\n            q.append(next)\n\nans = 0\n\nfor i in range(1, N + 1):\n    for j in graph[i]:\n        if color[i] == color[j]:\n            ans += 1\n\nprint(ans // 2)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nE = [[] for i in range(N + 1)]\n\nfor i in range(M):\n    a, b = list(map(int, input().split()))\n    E[a].append(b)\n    E[b].append(a)\n\nANS = 0\n\nfor i in range(1, N + 1):\n    if len(E[i]) > 0:\n        ANS += len(E[i]) * (len(E[i]) - 1) // 2\n\nprint(ANS)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfrom collections import defaultdict\n\nG = defaultdict(set)\n\nfor a, b in AB:\n    G[a].add(b)\n    G[b].add(a)\n\nfrom collections import deque\n\nans = 0\n\nfor i in range(1, N + 1):\n    if len(G[i]) == 0:\n        continue\n    q = deque([i])\n    seen = set([i])\n    while q:\n        v = q.popleft()\n        for nv in G[v]:\n            if nv not in seen:\n                seen.add(nv)\n                q.append(nv)\n                ans += len(G[nv]) - 1\n    for v in seen:\n        G[v] = set()\n\nprint(ans // 2)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ng = [[] for _ in range(n)]\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    (a, b) = (a - 1, b - 1)\n    g[a].append(b)\n    g[b].append(a)\n\ncolor = [-1] * n\ncolor[0] = 0\nq = deque([0])\nwhile q:\n    v = q.popleft()\n    for nv in g[v]:\n        if color[nv] == -1:\n            color[nv] = color[v] ^ 1\n            q.append(nv)\n\nans = 0\nfor i in range(n):\n    for nv in g[i]:\n        if color[i] == color[nv]:\n            ans += 1\nprint(ans // 2)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for _ in range(M)]\n\nfrom collections import deque\n\nG = [[] for _ in range(N + 1)]\nfor a, b in AB:\n    G[a].append(b)\n    G[b].append(a)\n\ncolor = [-1] * (N + 1)\ncolor[1] = 0\n\nQ = deque([1])\n\nwhile Q:\n    v = Q.popleft()\n    for nv in G[v]:\n        if color[nv] == -1:\n            color[nv] = 1 - color[v]\n            Q.append(nv)\n\nans = 0\nfor i in range(1, N + 1):\n    for nv in G[i]:\n        if color[i] == color[nv]:\n            ans += 1\n\nprint(ans // 2)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfrom collections import defaultdict\n\nG = defaultdict(set)\n\nfor a, b in AB:\n    G[a].add(b)\n    G[b].add(a)\n\nfrom collections import deque\n\nans = 0\n\nfor i in range(1, N + 1):\n    if i not in G:\n        continue\n    d = deque([i])\n    seen = set([i])\n    while d:\n        v = d.popleft()\n        for nv in G[v]:\n            if nv not in seen:\n                seen.add(nv)\n                d.append(nv)\n                ans += 1\n                G[nv].remove(v)\n    G[i] = set()\n\nprint(ans)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ngraph = [[] for _ in range(n + 1)]\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    graph[a].append(b)\n    graph[b].append(a)\n\nseen = [False] * (n + 1)\ndist = [0] * (n + 1)\nq = deque()\nfor i in range(1, n + 1):\n    if not seen[i]:\n        q.append(i)\n        seen[i] = True\n        while q:\n            node = q.popleft()\n            for adj in graph[node]:\n                if not seen[adj]:\n                    seen[adj] = True\n                    q.append(adj)\n                    dist[adj] = dist[node] + 1\n\nans = 0\nfor i in range(1, n + 1):\n    ans += (dist[i] - 1) * (dist[i] - 2) // 2\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nAB = [list(map(int, input().split())) for i in range(M)]\n\nfrom collections import deque\n\ngraph = [[] for i in range(N + 1)]\n\nfor a, b in AB:\n    graph[a].append(b)\n    graph[b].append(a)\n\ncolor = [-1] * (N + 1)\n\ncnt = 0\n\nfor i in range(1, N + 1):\n    if color[i] == -1:\n        q = deque()\n        q.append(i)\n        color[i] = 0\n        while q:\n            now = q.popleft()\n            for j in graph[now]:\n                if color[j] == -1:\n                    color[j] = 1 - color[now]\n                    q.append(j)\n                elif color[j] == color[now]:\n                    cnt += 1\n\nprint(cnt)",
                "from collections import deque\n\n(n, m) = map(int, input().split())\ng = [[] for _ in range(n)]\nfor _ in range(m):\n    (a, b) = map(int, input().split())\n    (a, b) = (a - 1, b - 1)\n    g[a].append(b)\n    g[b].append(a)\n\nseen = [False] * n\ndist = [-1] * n\nq = deque()\nfor i in range(n):\n    if not seen[i]:\n        q.append(i)\n        seen[i] = True\n        dist[i] = 0\n        while q:\n            v = q.popleft()\n            for nv in g[v]:\n                if not seen[nv]:\n                    seen[nv] = True\n                    dist[nv] = dist[v] + 1\n                    q.append(nv)\n\nans = 0\nfor i in range(n):\n    for nv in g[i]:\n        if dist[i] > 0 and dist[nv] > 0:\n            ans += dist[i] * dist[nv]\nprint(ans // 2)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import deque\n\nN, A, X, Y = map(int, input().split())\n\nINF = 10**18 + 10\ndp = [INF] * (N + 1)\ndp[0] = 0\nq = deque([0])\nwhile q:\n    n = q.popleft()\n    if n * A <= N:\n        q.append(n * A)\n        dp[n * A] = min(dp[n * A], dp[n] + X)\n    for i in range(1, 7):\n        if n * i <= N:\n            q.append(n * i)\n            dp[n * i] = min(dp[n * i], dp[n] + Y)\nprint(dp[N])",
                "from sys import stdin, stdout\n\nN, A, X, Y = map(int, stdin.readline().split())\n\ndp = [float(\"inf\")] * (N + 1)\ndp[0] = 0\n\nfor i in range(1, N + 1):\n    dp[i] = min(dp[i], dp[i - 1] + X + (i % A) * (Y - X) / A)\n    for j in range(1, 6):\n        dp[i] = min(dp[i], dp[i * j] + Y)\n\nstdout.write(str(dp[N]))",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import deque\n\nN, A, X, Y = map(int, input().split())\n\nINF = 10**18 + 10\ndp = [[INF] * (A + 1) for _ in range(61)]\ndp[0][1] = 0\nfor i in range(60):\n    for j in range(1, A + 1):\n        if dp[i][j] == INF:\n            continue\n        dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + X)\n        for k in range(1, 7):\n            if j % k == 0:\n                dp[i + 1][j // k] = min(dp[i + 1][j // k], dp[i][j] + Y)\nans = INF\nfor i in range(61):\n    ans = min(ans, dp[i][1])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, A, X, Y) = map(int, input().split())\nINF = 10**18 + 1\ndp = [[INF] * 20 for _ in range(61)]\ndp[0][0] = 0\nfor i in range(60):\n    for j in range(20):\n        if i + 1 < 60:\n            dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + X)\n        if j + 1 < 20:\n            dp[i][j + 1] = min(dp[i][j + 1], dp[i][j] + Y)\n            if i > 0:\n                dp[i - 1][j + 1] = min(dp[i - 1][j + 1], dp[i][j] + Y)\n        if N % (i + 2) == 0:\n            dp[N.bit_length() - 1][j + 1] = min(\n                dp[N.bit_length() - 1][j + 1], dp[i][j] + Y\n            )\n        if N % (A * (i + 1) + 1) == 0:\n            dp[N.bit_length() - 1][j] = min(\n                dp[N.bit_length() - 1][j], dp[i][j] + (N // (A * (i + 1) + 1)) * X\n            )\nprint(dp[N.bit_length() - 1][20])",
                "import sys\n\ninput = sys.stdin.readline\n(N, A, X, Y) = map(int, input().split())\nINF = 10**18 + 1\ndp = [[[INF for i in range(7)] for j in range(2)] for k in range(61)]\ndp[0][0][1] = Y * (1.0 / 6)\ndp[0][1][1] = X\nfor i in range(1, 61):\n    if N >= i:\n        N //= A\n        dp[i][0][1] = min(dp[i][0][1], dp[i - 1][1][1] + X)\n        dp[i][1][1] = min(dp[i][1][1], dp[i - 1][1][1] + Y * (1.0 / 6))\n        for j in range(2, 7):\n            dp[i][0][j] = min(dp[i][0][j], dp[i - 1][0][j - 1] + Y * (1.0 / 6))\n            dp[i][1][j] = min(dp[i][1][j], dp[i - 1][0][j - 1] + X)\n            dp[i][0][j] = min(dp[i][0][j], dp[i - 1][1][j - 1] + Y * (1.0 / 6))\n            dp[i][1][j] = min(dp[i][1][j], dp[i - 1][1][j - 1] + X)\nprint(min(dp[60][0][6], dp[60][1][6]))",
                "import sys\n\ninput = sys.stdin.readline\n(N, A, X, Y) = map(int, input().split())\ndp = [10**20] * (N + 1)\ndp[0] = 0\nfor i in range(N, 0, -1):\n    dp[i] = min(dp[i], dp[i - 1] + X, dp[i // A] + Y * (1 + (i - 1) // A) * 5 / 6)\nprint(dp[N])",
                "from collections import deque\n\nN, A, X, Y = map(int, input().split())\n\nINF = 10**18 + 1\ndp = [INF] * (N + 1)\ndp[0] = 0\nq = deque([0])\nwhile q:\n    n = q.popleft()\n    if n == 0:\n        continue\n    if dp[n] < dp[n // A] + X:\n        continue\n    dp[n // A] = min(dp[n // A], dp[n] - X)\n    for i in range(1, 7):\n        m = n // i\n        if dp[m] > dp[n] - Y:\n            dp[m] = dp[n] - Y\n            q.append(m)\nprint(dp[N])",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import deque\n\nN, A, X, Y = map(int, input().split())\n\nINF = 10**18 + 10\ndp = [[[INF for i in range(7)] for j in range(A)] for k in range(100)]\n\nfor i in range(A):\n    dp[0][i][1] = Y\n    dp[0][i][A] = X\n\nfor i in range(1, 100):\n    for j in range(A):\n        for k in range(1, A):\n            dp[i][j][k] = min(dp[i - 1][j][k], dp[i - 1][j][1] + Y)\n        for k in range(A, 7):\n            dp[i][j][k] = dp[i - 1][j][k]\n\nans = 0\nwhile N > 0:\n    for i in range(A):\n        ans += dp[99][i][N % A + 1]\n        N //= A\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(N, A, X, Y) = map(int, input().split())\ndp = [10**20] * (N + 1)\ndp[0] = 0\nfor i in range(N):\n    if dp[i] < 10**20:\n        dp[i * A] = min(dp[i * A], dp[i] + X)\n        for j in range(1, 7):\n            dp[i * j] = min(dp[i * j], dp[i] + Y)\nprint(dp[N])",
                "import sys\n\ninput = sys.stdin.readline\n(N, A, X, Y) = map(int, input().split())\nINF = 10**18 + 1\ndp = [[INF] * 20 for _ in range(60)]\ndp[0][0] = 0\nfor i in range(60):\n    for j in range(20):\n        if i > 0:\n            dp[i][j] = min(dp[i][j], dp[i - 1][j] + Y)\n        if j > 0:\n            dp[i][j] = min(dp[i][j], dp[i][j - 1] + X)\n        if i > 0:\n            for k in range(1, 7):\n                dp[i - 1][j] = min(dp[i - 1][j], dp[i][j] + Y - dp[i - 1][j // k])\nprint(dp[59][19])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt = sum(a)\naoki = sum(b)\n\nprint(t - aoki + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt = sum(a)\naoki = sum(b)\n\nprint(t - aoki + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt_score = sum(a)\na_score = sum(b)\n\nprint(t_score - a_score + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt_score = sum(a)\na_score = sum(b)\n\nprint(t_score - a_score + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt_score = sum(a)\na_score = sum(b)\n\nprint(t_score - a_score + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt = sum(a)\naoki = sum(b)\n\nprint(t - aoki + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt = 0\naoki = 0\nfor i in range(9):\n    t += a[i]\nfor i in range(8):\n    aoki += b[i]\n\nprint(t - aoki + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt = sum(a)\naoki = sum(b)\n\nprint(t - aoki + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt_score = sum(a)\na_score = sum(b)\n\nprint(t_score - a_score + 1)",
                "a = list(map(int, input().split()))\nb = list(map(int, input().split()))\n\nt = sum(a)\naoki = sum(b)\n\nprint(t - aoki + 1)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = []\nb = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i+1, j+1)\n            exit()",
                "n = int(input())\na = []\nb = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(input())\nb = []\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(input())\nb = []\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(input())\nb = []\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nb = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nb = []\nfor _ in range(n):\n    a.append(input())\nfor _ in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nb = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nb = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()",
                "n = int(input())\na = []\nb = []\nfor i in range(n):\n    a.append(input())\nfor i in range(n):\n    b.append(input())\nfor i in range(n):\n    for j in range(n):\n        if a[i][j] != b[i][j]:\n            print(i + 1, j + 1)\n            exit()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\n\nballs = []\nfor i in range(n):\n    balls.append(2 ** a[i])\n\ncount = 0\nwhile len(balls) > 0:\n    count += 1\n    if len(balls) == 1:\n        break\n    if balls[-1] == balls[-2]:\n        balls[-2] = balls[-1] + balls[-2]\n        del balls[-1]\n\nprint(count)",
                "n = int(input())\na = [int(i) for i in input().split()]\n\nstack = []\nfor i in a:\n    if not stack:\n        stack.append(i)\n    elif stack[-1] == i:\n        stack.pop()\n        stack.append(i + 1)\n    else:\n        stack.append(i)\n\nprint(len(stack))",
                "n = int(input())\na = list(map(int, input().split()))\n\nballs = []\nfor i in range(n):\n    balls.append(2 ** a[i])\n\ncount = 0\nwhile len(balls) > 0:\n    count += 1\n    if len(balls) == 1:\n        break\n    if balls[-1] != balls[-2]:\n        break\n    balls[-2] = balls[-1] + balls[-2]\n    del balls[-1]\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\nstack = []\nfor i in a:\n    if not stack:\n        stack.append(i)\n    elif stack[-1] == i:\n        stack.pop()\n        stack.append(i + 1)\n\nprint(len(stack))",
                "n = int(input())\na = list(map(int, input().split()))\n\nballs = []\nfor i in range(n):\n    balls.append(2 ** a[i])\n\ncount = 0\nwhile len(balls) > 0:\n    count += 1\n    if len(balls) == 1:\n        break\n    if balls[-1] == balls[-2]:\n        balls[-2] = balls[-1] + balls[-2]\n        del balls[-1]\n\nprint(count)",
                "n = int(input())\na = list(map(int, input().split()))\n\nballs = []\nfor i in range(n):\n    balls.append(2 ** a[i])\n\ncount = 0\nwhile len(balls) > 0:\n    count += 1\n    if len(balls) == 1:\n        break\n    if balls[-1] != balls[-2]:\n        break\n    balls[-2:] = [balls[-2] + balls[-1]]\n\nprint(count)",
                "n = int(input())\na = [int(i) for i in input().split()]\n\nstack = []\nfor i in a:\n    if not stack:\n        stack.append(i)\n    elif stack[-1] == i:\n        stack.pop()\n        stack.append(i + 1)\n    else:\n        stack.append(i)\n\nprint(len(stack))",
                "n = int(input())\na = list(map(int, input().split()))\n\nstack = []\nfor i in a:\n    if not stack:\n        stack.append(i)\n    elif stack[-1] == i:\n        stack.pop()\n        stack.append(i + 1)\n    else:\n        stack.append(i)\n\nprint(len(stack))",
                "n = int(input())\na = list(map(int, input().split()))\n\nstack = []\nfor i in a:\n    if not stack:\n        stack.append(i)\n    elif stack[-1] == i:\n        stack.pop()\n        stack.append(i + 1)\n\nprint(len(stack))",
                "n = int(input())\na = list(map(int, input().split()))\n\nballs = []\nfor i in range(n):\n    if not balls:\n        balls.append(2 ** a[i])\n    else:\n        if balls[-1] == balls[-2]:\n            balls.pop()\n            balls.pop()\n            balls.append(balls[-1] + 2 ** a[i])\n\nprint(len(balls))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(h, w) = map(int, input().split())\ns = [input() for _ in range(h)]\ndx = [0, 0, -1, 1]\ndy = [-1, 1, 0, 0]\nans = 0\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \".\":\n            q = deque([(i, j)])\n            cnt = 0\n            while q:\n                (x, y) = q.popleft()\n                cnt += 1\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and s[nx][ny] == \".\":\n                        q.append((nx, ny))\n                        s[nx][ny] = \"#\"\n            ans = max(ans, cnt)\nprint(ans)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\nmax_deg = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            q = deque([(i, j)])\n            visited = [[False] * w for _ in range(h)]\n            visited[i][j] = True\n            deg = 0\n            while q:\n                (x, y) = q.popleft()\n                deg += 1\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \".\":\n                        q.append((nx, ny))\n                        visited[nx][ny] = True\n            max_deg = max(max_deg, deg)\nprint(max_deg)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\n\ndx = [-1, 0, 1, 0]\ndy = [0, -1, 0, 1]\n\nmax_area = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            area = 1\n            q = deque([(i, j)])\n            visited = [[False] * w for _ in range(h)]\n            while q:\n                (x, y) = q.popleft()\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \".\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n                        area += 1\n            max_area = max(max_area, area)\n\nprint(max_area)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ns = []\nfor _ in range(h):\n    s.append(input())\n\ndx = [0, 0, -1, 1]\ndy = [-1, 1, 0, 0]\n\nans = 0\nfor i in range(h):\n    for j in range(w):\n        if s[i][j] == \".\":\n            q = deque([(i, j)])\n            visited = [[False] * w for _ in range(h)]\n            visited[i][j] = True\n            cnt = 0\n            while q:\n                (x, y) = q.popleft()\n                cnt += 1\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and s[nx][ny] == \".\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            ans = max(ans, cnt)\nprint(ans)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\n\ndx = [-1, 0, 1, 0]\ndy = [0, 1, 0, -1]\n\nmax_area = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            area = 1\n            q = deque([(i, j)])\n            visited = [[False] * w for _ in range(h)]\n            while q:\n                (x, y) = q.popleft()\n                visited[x][y] = True\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \".\":\n                        q.append((nx, ny))\n                        visited[nx][ny] = True\n                        area += 1\n            max_area = max(max_area, area)\n\nprint(max_area)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = []\nfor _ in range(h):\n    grid.append(list(input()))\n\nmax_free = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            q = deque([(i, j)])\n            visited = set([(i, j)])\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and grid[nx][ny] == \".\":\n                        if (nx, ny) not in visited:\n                            visited.add((nx, ny))\n                            q.append((nx, ny))\n            max_free = max(max_free, len(visited))\n\nprint(max_free)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\ndx = [1, 0, -1, 0]\ndy = [0, 1, 0, -1]\nmax_free = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            q = deque([(i, j)])\n            visited = [[False] * w for _ in range(h)]\n            visited[i][j] = True\n            free = 0\n            while q:\n                (x, y) = q.popleft()\n                free += 1\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \".\":\n                        q.append((nx, ny))\n                        visited[nx][ny] = True\n            max_free = max(max_free, free)\nprint(max_free)",
                "from collections import deque\n\n(H, W) = map(int, input().split())\nS = [input() for _ in range(H)]\n\ndx = [0, 0, -1, 1]\ndy = [-1, 1, 0, 0]\n\nans = 0\nfor i in range(H):\n    for j in range(W):\n        if S[i][j] == \".\":\n            q = deque([(i, j)])\n            visited = [[False] * W for _ in range(H)]\n            visited[i][j] = True\n            cnt = 0\n            while q:\n                (x, y) = q.popleft()\n                cnt += 1\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < H and 0 <= ny < W and (not visited[nx][ny]) and (S[nx][ny] == \".\"):\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            ans = max(ans, cnt)\nprint(ans)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = [input() for _ in range(h)]\ndx = [0, 0, 1, -1]\ndy = [1, -1, 0, 0]\nmax_deg = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            q = deque([(i, j)])\n            visited = [[False] * w for _ in range(h)]\n            visited[i][j] = True\n            deg = 0\n            while q:\n                (x, y) = q.popleft()\n                deg += 1\n                for k in range(4):\n                    nx = x + dx[k]\n                    ny = y + dy[k]\n                    if 0 <= nx < h and 0 <= ny < w and not visited[nx][ny] and grid[nx][ny] == \".\":\n                        visited[nx][ny] = True\n                        q.append((nx, ny))\n            max_deg = max(max_deg, deg)\nprint(max_deg)",
                "from collections import deque\n\n(h, w) = map(int, input().split())\ngrid = []\nfor _ in range(h):\n    grid.append(list(input()))\n\nmax_free = 0\nfor i in range(h):\n    for j in range(w):\n        if grid[i][j] == \".\":\n            free = 1\n            q = deque([(i, j)])\n            while q:\n                (x, y) = q.popleft()\n                for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n                    nx = x + dx\n                    ny = y + dy\n                    if 0 <= nx < h and 0 <= ny < w and grid[nx][ny] == \".\":\n                        grid[nx][ny] = \"#\"\n                        q.append((nx, ny))\n                        free += 1\n            max_free = max(max_free, free)\nprint(max_free)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x, y))\n    points.sort(key=lambda p: p[0] + p[1])\n    ans = 0\n    for i in range(n - 1):\n        for j in range(i + 1, n):\n            dx = points[j][0] - points[i][0]\n            dy = points[j][1] - points[i][1]\n            if dx < 0 or dy < 0 or (dx + dy) % 2 != 0:\n                continue\n            dist = abs(dx // 2 + dy // 2)\n            if dist % 2 == 0:\n                ans += dist\n            else:\n                ans += dist + 1\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    points = []\n    for i in range(n):\n        x, y = map(int, input().split())\n        points.append((x + y) % 2, x - y)\n    points.sort()\n    ans = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            dx, dy = points[j][1] - points[i][1], points[j][0] - points[i][0]\n            if dx < 0 or dy < 0:\n                continue\n            if dx % 2 != dy % 2:\n                continue\n            ans += (dx + dy) // 2\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x, y))\n    points.sort(key=lambda p: p[0] + p[1])\n    total_dist = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            x_diff = abs(points[i][0] - points[j][0])\n            y_diff = abs(points[i][1] - points[j][1])\n            if x_diff % 2 != y_diff % 2:\n                continue\n            dist = (x_diff + y_diff) // 2\n            if dist % 2 == 1:\n                total_dist += dist\n    print(total_dist)\n\n\nmain()",
                "def main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x, y))\n    points.sort(key=lambda p: p[0] + p[1])\n    dist = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            dx, dy = points[j][0] - points[i][0], points[j][1] - points[i][1]\n            if dx != dy and dx != -dy:\n                continue\n            dist += abs(dx) // 2\n    print(dist)\n\n\nmain()",
                "def dist(x1, y1, x2, y2):\n    return max(abs(x1 - x2), abs(y1 - y2))\n\n\nn = int(input())\npoints = []\nfor _ in range(n):\n    x, y = map(int, input().split())\n    points.append((x, y))\npoints.sort()\n\ntotal_dist = 0\nfor i in range(n - 1):\n    x1, y1 = points[i]\n    for j in range(i + 1, n):\n        x2, y2 = points[j]\n        if dist(x1, y1, x2, y2) % 2 == 1:\n            continue\n        total_dist += dist(x1, y1, x2, y2) // 2\nprint(total_dist)",
                "def dist(p1, p2):\n    return max(abs(p1[0] - p2[0]), abs(p1[1] - p2[1]))\n\n\ndef main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x, y))\n    points.sort(key=lambda p: p[0] + p[1])\n    total_dist = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            total_dist += dist(points[i], points[j])\n    print(total_dist)\n\n\nmain()",
                "def main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x + y) % 2, x - y)\n    points.sort()\n    ans = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            dx, dy = points[j][1] - points[i][1], points[j][0] - points[i][0]\n            if dx < 0 or dy < 0:\n                continue\n            ans += min(dx, dy)\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x + y) % 2, x - y)\n    points.sort()\n    ans = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            dx, dy = points[j][1] - points[i][1], points[j][0] - points[i][0]\n            if dx < 0 or dy < 0:\n                continue\n            if dx % 2 != dy % 2:\n                continue\n            ans += abs(dx - dy) // 2\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    points = []\n    for _ in range(n):\n        x, y = map(int, input().split())\n        points.append((x, y))\n    points.sort()\n    ans = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            x1, y1 = points[i]\n            x2, y2 = points[j]\n            dx = abs(x1 - x2)\n            dy = abs(y1 - y2)\n            if dx % 2 != dy % 2:\n                continue\n            if dx % 2 == 0:\n                ans += min(dx // 2, dy)\n            else:\n                ans += (dx + 1) // 2\n    print(ans)\n\n\nmain()",
                "def dist(x1, y1, x2, y2):\n    return max(abs(x1 - x2), abs(y1 - y2))\n\n\nn = int(input())\npoints = []\nfor _ in range(n):\n    x, y = map(int, input().split())\n    points.append((x, y))\npoints.sort(key=lambda p: p[0] + p[1])\n\ntotal_dist = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        total_dist += dist(*points[i], *points[j])\nprint(total_dist)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\nprint(ans)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\na.sort()\r\nans = 0\r\nfor i in range(n - 1):\r\n    ans += a[i + 1] - a[i]\r\nprint(ans)\r",
                "n = int(input())\r\na = list(map(int, input().split()))\r\na.sort()\r\nans = 0\r\nfor i in range(n - 1):\r\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\r\nprint(ans)\r",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (a[i + 1] - a[i]) * (n - i - 1)\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += a[i + 1] * (n - i - 1) - a[i] * (n - i - 1) - a[i]\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\na.sort()\nans = 0\nfor i in range(n - 1):\n    ans += (n - 1 - i) * (a[i + 1] - a[i])\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, x, y, z = map(int, input().split())\nif x > y:\n    if z > x and z < y:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    if z > y and z < x:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif min(x, y) <= z <= max(x, y):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif min(x, y) < z < max(x, y):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif x > y:\n    if z > x and z < y:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    if z > y and z < x:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif x > y:\n    for i in range(x, 1, -1):\n        if i == z:\n            print(\"Yes\")\n            return\nelse:\n    for i in range(x, n + 1):\n        if i == z:\n            print(\"Yes\")\n            return\nprint(\"No\")",
                "n, x, y, z = map(int, input().split())\nif min(x, y) <= z <= max(x, y):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif x < y:\n    if z > x and z < y:\n        print(\"Yes\")\n    else:\n        print(\"No\")\nelse:\n    if z < x and z > y:\n        print(\"Yes\")\n    else:\n        print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif min(x, y) <= z <= max(x, y):\n    print(\"Yes\")\nelse:\n    print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif x > y:\n    for i in range(x, 1, -1):\n        if i == z:\n            print(\"Yes\")\n            break\n    else:\n        print(\"No\")\nelse:\n    for i in range(x, n + 1):\n        if i == z:\n            print(\"Yes\")\n            break\n    else:\n        print(\"No\")",
                "n, x, y, z = map(int, input().split())\nif x > y:\n    for i in range(x, 1, -1):\n        if i == z:\n            print(\"Yes\")\n            exit()\nelse:\n    for i in range(x, n + 1):\n        if i == z:\n            print(\"Yes\")\n            exit()\nprint(\"No\")"
            ],
            "pass1_list": [
                false,
                true,
                true,
                false,
                false,
                true,
                true,
                true,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "s = input()\nt = input()\ni = j = 0\nans = []\nwhile i < len(t):\n    if s[j] == t[i]:\n        ans.append(i + 1)\n        j += 1\n    i += 1\nprint(*ans)",
                "s = input()\nt = input()\n\ni = j = 0\nres = []\n\nwhile i < len(t):\n    if j < len(s) and s[j] == t[i]:\n        res.append(i + 1)\n        j += 1\n    i += 1\n\nprint(*res)",
                "s = input()\nt = input()\n\ni = j = 0\nres = []\nwhile i < len(t):\n    if j < len(s) and s[j] == t[i]:\n        res.append(i + 1)\n        j += 1\n    i += 1\n\nprint(*res)",
                "s = input()\nt = input()\n\ni = j = 0\nres = []\nwhile j < len(t):\n    if i < len(s) and s[i] == t[j]:\n        res.append(j + 1)\n        i += 1\n    j += 1\n\nprint(*res)",
                "s = input()\nt = input()\n\ni = j = 0\nans = []\nwhile i < len(t):\n    if j < len(s) and s[j] == t[i]:\n        ans.append(i + 1)\n        j += 1\n    i += 1\n\nprint(*ans)",
                "s = input()\nt = input()\n\ni = j = 0\nans = []\nwhile j < len(t):\n    if i < len(s) and s[i] == t[j]:\n        ans.append(j + 1)\n        i += 1\n    j += 1\n\nprint(*ans)",
                "s = input()\nt = input()\n\ni = j = 0\nres = []\nwhile j < len(t):\n    if i < len(s) and s[i] == t[j]:\n        res.append(j + 1)\n        i += 1\n    j += 1\n\nprint(*res)",
                "s = input()\nt = input()\n\nans = []\ni = j = 0\nwhile i < len(t):\n    if j < len(s) and t[i] == s[j]:\n        ans.append(i + 1)\n        i += 1\n        j += 1\n    else:\n        i += 1\n\nprint(*ans)",
                "s = input()\nt = input()\n\ni = j = 0\nans = []\nwhile i < len(t):\n    if j < len(s) and s[j] == t[i]:\n        ans.append(i + 1)\n        j += 1\n    i += 1\n\nprint(*ans)",
                "s = input()\nt = input()\n\nans = []\ni = j = 0\nwhile i < len(t):\n    if j < len(s) and t[i] == s[j]:\n        ans.append(i + 1)\n        i += 1\n        j += 1\n    else:\n        i += 1\n\nprint(*ans)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[1] - x[0], reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[1] - x[0], reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1]\nprint(ans)",
                "n = int(input())\nab = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    ab.append((b - a, a))\nab.sort(reverse=True)\nans = 0\nfor i in range(n):\n    ans += ab[i][0] + ab[i][1] * i\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((y - x, x))\na.sort()\nans = 0\nfor i in range(n):\n    ans += a[i][0] + a[i][1]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((y - x, x))\na.sort(reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1]\n    ans += a[i][0]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[1] - x[0], reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1] - a[i][0]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[1] - x[0], reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((y - x, x))\na.sort(reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1]\n    ans += a[i][0]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[1] - x[0], reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1] - a[i][0]\nprint(ans)",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\na.sort(key=lambda x: x[1] - x[0], reverse=True)\nans = 0\nfor i in range(n):\n    ans += a[i][1]\nprint(ans)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import deque\n\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\nindex = [0] * (n + 1)\nfor i in range(n):\n    index[p[i]] = i\nq = deque()\nfor i in range(n):\n    if i < p[i] - 1:\n        q.append(i)\n    while q and q[0] < i - k:\n        q.popleft()\n    if len(q) >= k:\n        print(i - q[0])\n        break",
                "from collections import defaultdict, deque\n\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n\nindex = {v: i for (i, v) in enumerate(p)}\n\ngraph = defaultdict(list)\nfor i in range(n):\n    graph[p[i]].append(i)\n\ndist = [float(\"inf\")] * n\ndist[0] = 0\nq = deque([0])\nwhile q:\n    i = q.popleft()\n    for j in graph[p[i] - 1]:\n        if dist[j] == float(\"inf\"):\n            dist[j] = dist[i] + 1\n            q.append(j)\n\nans = float(\"inf\")\nfor i in range(n - k + 1):\n    ans = min(ans, dist[i + k - 1] - dist[i])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n(l, r) = (0, n)\nwhile r - l > 1:\n    m = (l + r) // 2\n    ok = 1\n    for i in range(n):\n        if p[i] >= m and p[i] - i < k:\n            ok = 0\n            break\n    if ok:\n        l = m\n    else:\n        r = m\nprint(k)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\np_idx = [0] * (n + 1)\nfor i in range(n):\n    p_idx[p[i]] = i\ndp = [10**10] * (n + 1)\ndp[p[0]] = 0\nfor i in range(1, n):\n    if p[i] == p[i - 1] + 1:\n        dp[p[i]] = dp[p[i - 1]]\n    else:\n        dp[p[i]] = min(dp[p[i]], p_idx[p[i] - 1] - p_idx[p[i] - k])\nprint(min(dp[p[-1] - k + 1 :]))",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n(left, right) = (0, n - k + 1)\nwhile right - left > 1:\n    mid = (left + right) // 2\n    flag = True\n    for i in range(k):\n        if p[mid + i] < p[mid + i - 1]:\n            flag = False\n            break\n    if flag:\n        right = mid\n    else:\n        left = mid\nprint(right)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n(l, r) = (0, n)\nwhile r - l > 1:\n    m = (l + r) // 2\n    if all((p[i] >= i + 1 for i in range(m, n - k + 1))):\n        l = m\n    else:\n        r = m\nans = n\nfor i in range(l, n - k + 1):\n    if sorted(p[i : i + k]) == list(range(p[i], p[i] + k)):\n        ans = min(ans, p[i + k - 1] - p[i])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, K = list(map(int, input().split()))\nP = list(map(int, input().split()))\n\nindex = [0] * (N + 1)\nfor i in range(N):\n    index[P[i]] = i\n\nans = N\nfor i in range(N):\n    if P[i] - index[P[i]] >= K:\n        ans = min(ans, index[P[i] + K - 1] - index[P[i]] + 1)\n\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n(l, r) = (0, n)\nwhile r - l > 1:\n    m = (l + r) // 2\n    ok = True\n    for i in range(n):\n        if p[i] >= m + k:\n            ok = False\n            break\n        if p[i] >= m and p[i] + k > p[i + 1]:\n            ok = False\n            break\n    if ok:\n        r = m\n    else:\n        l = m\nprint(r)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n(left, right) = (0, n)\nwhile right - left > 1:\n    mid = (left + right) // 2\n    if all((x >= mid or x + n - mid >= k) for x in p[:mid]):\n        left = mid\n    else:\n        right = mid\nans = n\nfor i in range(n):\n    if i + k - 1 < n:\n        ans = min(ans, p[i + k - 1] - p[i])\n    else:\n        ans = min(ans, n - p[i] + p[i + k - 1 - n])\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\n(n, k) = map(int, input().split())\np = list(map(int, input().split()))\n(l, r) = (0, n)\nwhile r - l > 1:\n    m = (l + r) // 2\n    ok = True\n    for i in range(n):\n        if p[i] >= m + k:\n            ok = False\n            break\n        if p[i] >= m and p[i] + k > p[i + 1]:\n            ok = False\n            break\n    if ok:\n        r = m\n    else:\n        l = m\nprint(r)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\nparent = [i for i in range(N + 1)]\nrank = [0] * (N + 1)\n\n\ndef find(x):\n    if parent[x] == x:\n        return x\n    else:\n        parent[x] = find(parent[x])\n        return parent[x]\n\n\ndef union(x, y):\n    px = find(x)\n    py = find(y)\n    if rank[px] > rank[py]:\n        parent[py] = px\n    elif rank[px] < rank[py]:\n        parent[px] = py\n    else:\n        parent[py] = px\n        rank[px] += 1\n\n\nedge = []\nfor _ in range(M):\n    K, C = list(map(int, input().split()))\n    A = list(map(int, input().split()))\n    for i in range(K - 1):\n        for j in range(i + 1, K):\n            edge.append([A[i], A[j], C])\n\nedge.sort(key=lambda x: x[2])\n\nans = 0\ncnt = 0\nfor i in range(len(edge)):\n    x, y, c = edge[i]\n    px = find(x)\n    py = find(y)\n    if px != py:\n        union(x, y)\n        ans += c\n        cnt += 1\n    if cnt == N - 1:\n        break\n\nif cnt == N - 1:\n    print(ans)\nelse:\n    print(-1)",
                "from collections import defaultdict\nimport heapq\n\n(n, m) = map(int, input().split())\n\ngraph = defaultdict(list)\nvisited = [False] * (n + 1)\nparent = [None] * (n + 1)\ncost = [float(\"inf\")] * (n + 1)\ncost[1] = 0\n\nfor _ in range(m):\n    (k, c) = map(int, input().split())\n    nodes = list(map(int, input().split()))\n\n    for i in range(k - 1):\n        for j in range(i + 1, k):\n            graph[nodes[i]].append((nodes[j], c))\n            graph[nodes[j]].append((nodes[i], c))\n\nheap = [(0, 1)]\nwhile heap:\n    (cur_cost, node) = heapq.heappop(heap)\n    if visited[node]:\n        continue\n    visited[node] = True\n\n    for next_node, next_cost in graph[node]:\n        if not visited[next_node] and next_cost < cost[next_node]:\n            parent[next_node] = node\n            cost[next_node] = next_cost\n            heapq.heappush(heap, (next_cost, next_node))\n\nif not all(visited[1:]):\n    print(-1)\nelse:\n    total_cost = 0\n    node = n\n    while node:\n        total_cost += cost[node]\n        node = parent[node]\n    print(total_cost)",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import defaultdict\n\nN, M = map(int, input().split())\n\nparent = [i for i in range(N + 1)]\nrank = [0] * (N + 1)\n\n\ndef find(x):\n    if parent[x] == x:\n        return x\n    else:\n        parent[x] = find(parent[x])\n        return parent[x]\n\n\ndef union(x, y):\n    px = find(x)\n    py = find(y)\n    if rank[px] > rank[py]:\n        parent[py] = px\n    elif rank[px] < rank[py]:\n        parent[px] = py\n    else:\n        parent[py] = px\n        rank[px] += 1\n\n\ndef kruskal():\n    edges = []\n    for i in range(M):\n        K, C = map(int, input().split())\n        A = list(map(int, input().split()))\n        for j in range(K - 1):\n            x = A[j]\n            y = A[j + 1]\n            edges.append([C, x, y])\n    edges.sort()\n    cost = 0\n    for c, x, y in edges:\n        px = find(x)\n        py = find(y)\n        if px != py:\n            union(x, y)\n            cost += c\n    return cost\n\n\nif N == 1 and M == 0:\n    print(0)\nelse:\n    print(kruskal())",
                "from collections import defaultdict\nimport heapq\n\n(n, m) = map(int, input().split())\nparents = [i for i in range(n + 1)]\nrank = [0] * (n + 1)\n\n\ndef find(x):\n    if parents[x] != x:\n        parents[x] = find(parents[x])\n    return parents[x]\n\n\ndef union(x, y):\n    (xr, yr) = (find(x), find(y))\n    if xr == yr:\n        return\n    if rank[xr] > rank[yr]:\n        parents[yr] = xr\n    elif rank[xr] < rank[yr]:\n        parents[xr] = yr\n    else:\n        parents[yr] = xr\n        rank[xr] += 1\n\n\nedges = defaultdict(list)\nfor _ in range(m):\n    (k, c) = map(int, input().split())\n    vs = list(map(int, input().split()))\n    for i in range(k - 1):\n        for j in range(i + 1, k):\n            edges[vs[i], vs[j]].append(c)\n            edges[vs[j], vs[i]].append(c)\n\nif n == 1:\n    print(0)\nelse:\n    total = 0\n    pq = []\n    for i in range(1, n + 1):\n        heapq.heappush(pq, (0, i))\n    while pq:\n        (cost, v) = heapq.heappop(pq)\n        if find(v) != v:\n            continue\n        for u in edges[v, 0]:\n            if find(v) != find(u):\n                total += u\n                union(v, u)\n                break\n        for u in edges[v, 0]:\n            if find(v) != find(u):\n                heapq.heappush(pq, (u, u))\n                break\n    if find(1) != find(n):\n        print(-1)\n    else:\n        print(total)",
                "import sys\nfrom collections import defaultdict\nfrom heapq import heappush, heappop\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = defaultdict(list)\nvisited = [0] * (N + 1)\n\nfor _ in range(M):\n    K, C = list(map(int, input().split()))\n    A = list(map(int, input().split()))\n    for i in range(K - 1):\n        for j in range(i + 1, K):\n            graph[A[i]].append((A[j], C))\n            graph[A[j]].append((A[i], C))\n\nif N == 1:\n    print(0)\n    exit()\n\nmst = 0\n\nfor i in range(1, N + 1):\n    if visited[i]:\n        continue\n    heap = []\n    heappush(heap, (0, i))\n    while heap:\n        cost, node = heappop(heap)\n        if visited[node]:\n            continue\n        visited[node] = 1\n        mst += cost\n        for adj, c in graph[node]:\n            if not visited[adj]:\n                heappush(heap, (c, adj))\n\nif sum(visited[1:]) != N:\n    print(-1)\nelse:\n    print(mst)",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import defaultdict\n\nN, M = map(int, input().split())\n\nparent = [i for i in range(N + 1)]\nrank = [0] * (N + 1)\n\n\ndef find(x):\n    if parent[x] == x:\n        return x\n    else:\n        parent[x] = find(parent[x])\n        return parent[x]\n\n\ndef union(x, y):\n    px = find(x)\n    py = find(y)\n    if rank[px] > rank[py]:\n        parent[py] = px\n    elif rank[px] < rank[py]:\n        parent[px] = py\n    else:\n        parent[py] = px\n        rank[px] += 1\n\n\ndef solve():\n    edges = defaultdict(list)\n    for _ in range(M):\n        K, C = map(int, input().split())\n        A = list(map(int, input().split()))\n        for i in range(K - 1):\n            for j in range(i + 1, K):\n                edges[A[i], A[j]].append(C)\n\n    total = 0\n    for k, v in edges.items():\n        if find(k[0]) != find(k[1]):\n            union(k[0], k[1])\n            total += min(v)\n\n    if find(1) == find(N):\n        print(total)\n    else:\n        print(-1)\n\n\nsolve()",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import defaultdict\n\nN, M = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(M):\n    K, C = map(int, input().split())\n    A = list(map(int, input().split()))\n    for i in range(K - 1):\n        for j in range(i + 1, K):\n            graph[A[i]].append((A[j], C))\n            graph[A[j]].append((A[i], C))\n\nvisited = set()\ntotal = 0\n\ndef dfs(node, parent):\n    global total\n    visited.add(node)\n    for child, weight in graph[node]:\n        if child not in visited:\n            dfs(child, node)\n            total += weight\n\nif N == len(visited):\n    dfs(1, -1)\n    print(total)\nelse:\n    print(-1)",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import defaultdict\n\nN, M = map(int, input().split())\n\ngraph = defaultdict(list)\nvisited = [0] * (N + 1)\n\nfor _ in range(M):\n    K, C = map(int, input().split())\n    A = list(map(int, input().split()))\n    for i in range(K - 1):\n        for j in range(i + 1, K):\n            graph[A[i]].append((A[j], C))\n            graph[A[j]].append((A[i], C))\n\nans = 0\nfor i in range(1, N + 1):\n    if visited[i] == 0:\n        stack = [i]\n        visited[i] = 1\n        while stack:\n            now = stack.pop()\n            for j, k in graph[now]:\n                if visited[j] == 0:\n                    visited[j] = 1\n                    stack.append(j)\n                    ans += k\n\nif ans == 0:\n    print(-1)\nelse:\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\nfrom collections import defaultdict\n\nN, M = map(int, input().split())\n\ngraph = defaultdict(list)\n\nfor _ in range(M):\n    K, C = map(int, input().split())\n    A = list(map(int, input().split()))\n    for i in range(K - 1):\n        for j in range(i + 1, K):\n            graph[A[i]].append((A[j], C))\n            graph[A[j]].append((A[i], C))\n\nvisited = [0] * (N + 1)\nstack = [1]\nvisited[1] = 1\n\nwhile stack:\n    node = stack.pop()\n    for nei, cost in graph[node]:\n        if not visited[nei]:\n            visited[nei] = 1\n            stack.append(nei)\n\nif sum(visited) != N:\n    print(-1)\nelse:\n    ans = 0\n    for i in range(1, N + 1):\n        ans += min((j for j, _ in graph[i]), default=0)\n    print(ans)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, M = list(map(int, input().split()))\n\ngraph = [[] for _ in range(N + 1)]\n\nfor _ in range(M):\n    K, C = list(map(int, input().split()))\n    A = list(map(int, input().split()))\n    for i in range(K - 1):\n        for j in range(i + 1, K):\n            graph[A[i]].append((A[j], C))\n            graph[A[j]].append((A[i], C))\n\nvisited = [0] * (N + 1)\n\ndef dfs(v):\n    visited[v] = 1\n    for nv, c in graph[v]:\n        if visited[nv] == 0:\n            dfs(nv)\n\nans = 0\ncnt = 0\nfor i in range(1, N + 1):\n    if visited[i] == 0:\n        dfs(i)\n        cnt += 1\n\nif cnt > 1:\n    print(-1)\nelse:\n    graph[0] = [(i, 0) for i in range(1, N + 1)]\n    for i in range(1, N + 1):\n        graph[i].append((0, 0))\n    graph[0].sort(key=lambda x: x[1])\n    for i in range(1, N + 1):\n        graph[i].sort(key=lambda x: x[1])\n\n    visited = [0] * (N + 1)\n    parent = [0] * (N + 1)\n    def dfs(v, p):\n        visited[v] = 1\n        for nv, c in graph[v]:\n            if visited[nv] == 0:\n                parent[nv] = v\n                dfs(nv, c)\n\n    dfs(0, 0)\n\n    def find(v):\n        if v == parent[v]:\n            return v\n        parent[v] = find(parent[v])\n        return parent[v]\n\n    def union(u, v):\n        u = find(u)\n        v = find(v)\n        if u == v:\n            return\n        parent[u] = v\n\n    cost = 0\n    for i in range(N - 1, -1, -1):\n        v, c = graph[i][0]\n        u = parent[v]\n        union(u, v)\n        cost += c\n    print(cost)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nh = list(map(int, input().split()))\nif max(h) > h[0]:\n    print((h.index(max(h))))\nelse:\n    print(-1)",
                "n = int(input())\r\nh = list(map(int, input().split()))\r\n\r\nif h[0] == max(h):\r\n    print(-1)\r\nelse:\r\n    print(h.index(max(h)) + 1)\r",
                "n = int(input())\nh = list(map(int, input().split()))\nif h[0] == max(h):\n    print(-1)\nelse:\n    print(h.index(max(h)) + 1)",
                "n = int(input())\nh = list(map(int, input().split()))\nfirst = h[0]\nfor i in range(n):\n    if h[i] > first:\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "n = int(input())\nh = list(map(int, input().split()))\nif h[0] == max(h):\n    print(-1)\nelse:\n    print(h.index(max(h)) + 1)",
                "n = int(input())\r\nh = list(map(int, input().split()))\r\n\r\nfirst = h[0]\r\nindex = -1\r\n\r\nfor i in range(1, n):\r\n    if h[i] > first:\r\n        index = i\r\n        break\r\n\r\nprint(index + 1)\r",
                "n = int(input())\nh = list(map(int, input().split()))\n\nfirst = h[0]\nindex = -1\n\nfor i in range(n):\n    if h[i] > first:\n        index = i + 1\n        break\n\nprint(index)",
                "n = int(input())\nh = list(map(int, input().split()))\n\nfirst = h[0]\nindex = -1\n\nfor i in range(n):\n    if h[i] > first:\n        index = i + 1\n        break\n\nprint(index)",
                "n = int(input())\nh = list(map(int, input().split()))\nfirst = h[0]\nfor i in range(n):\n    if h[i] > first:\n        print(i + 1)\n        break\nelse:\n    print(-1)",
                "n = int(input())\nh = list(map(int, input().split()))\n\nfirst = h[0]\nindex = -1\n\nfor i in range(n):\n    if h[i] > first:\n        index = i + 1\n        break\n\nprint(index)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                true,
                false,
                false,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\nans = 0\nseats = k\nfor i in a:\n    if seats < i:\n        ans += 1\n        seats = k\n    else:\n        seats -= i\nprint(ans + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\nans = 0\nseats = k\nfor i in a:\n    if seats < i:\n        ans += 1\n        seats = k\n    else:\n        seats -= i\nprint(ans + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\n\ncount = 0\nseats = k\nfor i in a:\n    if seats < i:\n        count += 1\n        seats = k\n    else:\n        seats -= i\n\nprint(count + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\n\nans = 0\nseats = k\nfor i in a:\n    if seats < i:\n        ans += 1\n        seats = k\n    else:\n        seats -= i\n\nprint(ans + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\n\ncount = 0\nseats = k\nfor i in a:\n    if i > seats:\n        count += 1\n        seats = k\n    else:\n        seats -= i\n\nprint(count + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\nans = 0\nseats = k\nfor i in a:\n    if seats < i:\n        ans += 1\n        seats = k\n    else:\n        seats -= i\nprint(ans + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\nans = 0\nseats = k\nfor i in a:\n    if seats < i:\n        ans += 1\n        seats = k\n    else:\n        seats -= i\nprint(ans + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\n\ncount = 0\nseats = k\nfor i in a:\n    if i > seats:\n        count += 1\n        seats = k\n    else:\n        seats -= i\n\nprint(count + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\n\ncount = 0\nseats = k\n\nfor i in a:\n    if i > seats:\n        count += 1\n        seats = k\n    else:\n        seats -= i\n\nprint(count + 1)",
                "n, k = map(int, input().split())\na = list(map(int, input().split()))\nans = 0\nseats = k\nfor i in a:\n    if seats < i:\n        ans += 1\n        seats = k\n    else:\n        seats -= i\nprint(ans + 1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        ans += (a[i] + a[j]) % 100000000\nprint(ans)",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(a[: n - 1]) - sum(a[1:]))",
                "n = int(input())\na = list(map(int, input().split()))\nprint(sum(a) * (n - 1) - sum(sorted(a)) * (2 * n - 1))"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    mod = 998244353\n    a.sort()\n    ans = 0\n    for i in range(n - 1):\n        for j in range(i + 1, n):\n            ans += a[i] * (10**len(str(a[j]))) + a[j]\n            ans %= mod\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    mod = 998244353\n    a.sort()\n    ans = 0\n    for i in range(n - 1):\n        for j in range(i + 1, n):\n            ans += a[i] * 10**len(str(a[j])) + a[j]\n            ans %= mod\n    print(ans)\n\n\nmain()",
                "n = int(input())\na = list(map(int, input().split()))\nmod = 998244353\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        ans += a[i] * (10**len(str(a[j]))) + a[j]\n        ans %= mod\nprint(ans)",
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    mod = 998244353\n    a.sort()\n    ans = 0\n    for i in range(n - 1):\n        for j in range(i + 1, n):\n            ans += a[i] * pow(10, len(str(a[j]))) % mod\n            ans %= mod\n    print(ans)\n\n\nmain()",
                "n = int(input())\na = list(map(int, input().split()))\nmod = 998244353\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        ans += a[i] * (10**len(str(a[j]))) + a[j]\n        ans %= mod\nprint(ans)",
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    MOD = 998244353\n    ans = 0\n    for i in range(n):\n        for j in range(i + 1, n):\n            ans += a[i] * pow(10, len(str(a[j]))) + a[j]\n            ans %= MOD\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    mod = 998244353\n    a.sort()\n    ans = 0\n    for i in range(n - 1):\n        for j in range(i + 1, n):\n            ans += a[i] * pow(10, len(str(a[j]))) % mod\n            ans %= mod\n    print(ans)\n\n\nmain()",
                "def main():\n    n = int(input())\n    a = list(map(int, input().split()))\n    MOD = 998244353\n    a.sort()\n    ans = 0\n    for i in range(n - 1):\n        for j in range(i + 1, n):\n            ans += a[i] * (10**len(str(a[j]))) % MOD\n            ans %= MOD\n    print(ans)\n\n\nmain()",
                "n = int(input())\na = list(map(int, input().split()))\nm = 998244353\ns = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        s += a[i] * 10**len(str(a[j])) + a[j]\n        s %= m\nprint(s)",
                "n = int(input())\r\na = list(map(int, input().split()))\r\nmod = 998244353\r\nans = 0\r\nfor i in range(n):\r\n    for j in range(i + 1, n):\r\n        ans += a[i] * pow(10, len(str(a[j]))) + a[j]\r\n        ans %= mod\r\nprint(ans)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from collections import defaultdict\n\nN = int(input())\nS = [input() for _ in range(N)]\n\ntrie = defaultdict(lambda: defaultdict(int))\n\nfor s in S:\n    cur = trie\n    for c in s:\n        cur = cur[c]\n        cur[\"$\"] += 1\n\nans = 0\n\nfor s in S:\n    cur = trie\n    for c in s:\n        cur = cur[c]\n        ans += cur[\"$\"]\n        cur[\"$\"] -= 1\n\nprint(ans)",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\ns.sort()\r\n\r\nans = 0\r\nfor i in range(1, n):\r\n    j = i - 1\r\n    while j > 0 and s[j][0:len(s[j])] == s[j + 1][0:len(s[j])]:\r\n        j -= 1\r\n    ans += (i - j) * len(s[j])\r\n\r\nprint(ans)\r",
                "n = int(input())\r\ns = [input() for i in range(n)]\r\ns.sort()\r\nans = 0\r\nfor i in range(1, n):\r\n    ans += len(os.path.commonprefix([s[i - 1], s[i]])) * (n - i)\r\nprint(ans)\r",
                "import sys\n\ninput = sys.stdin.readline\n\nN = int(input())\nS = [input().rstrip() for i in range(N)]\n\nfrom collections import defaultdict\n\ntrie = defaultdict(lambda: defaultdict(int))\n\nfor s in S:\n    for i, c in enumerate(s):\n        trie[i][c] += 1\n\nans = 0\nfor i in range(N - 1):\n    for j in range(i + 1, N):\n        for k in range(min(len(S[i]), len(S[j]))):\n            if S[i][k] == S[j][k]:\n                ans += 1\n            else:\n                break\n\nprint(ans)",
                "from collections import defaultdict\n\nN = int(input())\nS = [input() for _ in range(N)]\n\ntrie = defaultdict(lambda: defaultdict(int))\nfor s in S:\n    for i, c in enumerate(s):\n        trie[i][c] += 1\n\nans = 0\nfor i, s in enumerate(S):\n    for j, c in enumerate(s):\n        ans += trie[j][c] - 1\n    trie[i][s[i]] -= 1\nprint(ans)",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\ns.sort()\r\n\r\ntotal = 0\r\nfor i in range(1, n):\r\n    total += len(s[i - 1]) - len(s[i - 1].rstrip(s[i]))\r\nprint(total)\r",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\ns.sort()\r\n\r\nans = 0\r\nfor i in range(n - 1):\r\n    j = i + 1\r\n    while j < n and s[i] == s[j][: len(s[i])]:\r\n        ans += len(s[i])\r\n        j += 1\r\n    i = j - 1\r\nprint(ans)\r",
                "n = int(input())\r\ns = [input() for i in range(n)]\r\ns.sort()\r\nans = 0\r\nfor i in range(1, n):\r\n    ans += len(os.path.commonprefix([s[i - 1], s[i]])) * (n - i)\r\nprint(ans)\r",
                "n = int(input())\r\ns = [input() for i in range(n)]\r\ns.sort()\r\n\r\nans = 0\r\nfor i in range(1, n):\r\n    ans += len(s[i - 1]) - len(s[i - 1].lstrip(s[i]))\r\nprint(ans)\r",
                "n = int(input())\r\ns = [input() for _ in range(n)]\r\ns.sort()\r\n\r\nans = 0\r\nfor i in range(1, n):\r\n    ans += len(s[i - 1]) - len(s[i - 1].lstrip(s[i]))\r\n\r\nprint(ans)\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "H = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= H:\n    day += 1\n    plant_height = plant_height * 2 + 1\nprint(day)",
                "H = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= H:\n    day += 1\n    plant_height = plant_height * 2 + 1\nprint(day)",
                "h = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= h:\n    day += 1\n    plant_height += 2 ** (day - 1)\nprint(day)",
                "H = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= H:\n    day += 1\n    plant_height = plant_height * 2 + 1\nprint(day)",
                "H = int(input())\ni = 0\nwhile 2**i <= H:\n    i += 1\nprint(i)",
                "H = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= H:\n    day += 1\n    plant_height = plant_height * 2 + 1\nprint(day)",
                "H = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= H:\n    day += 1\n    plant_height = plant_height * 2 + 1\nprint(day)",
                "H = int(input())\nday = 0\nheight = 0\nwhile height <= H:\n    day += 1\n    height = height * 2 + 1\nprint(day)",
                "h = int(input())\nday = 0\nplant_height = 0\nwhile plant_height <= h:\n    day += 1\n    plant_height += 2 ** (day - 1)\nprint(day)",
                "H = int(input())\nd = 0\ns = 0\nwhile s <= H:\n    d += 1\n    s += 2 ** (d - 1)\nprint(d)"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\nusers = []\nfor i in range(n):\n    s, c = map(str, input().split())\n    users.append((s, int(c)))\nusers.sort()\nt = sum(c for s, c in users)\nprint(users[t % n][0])",
                "n = int(input())\n\nnames = []\nratings = []\n\nfor _ in range(n):\n    name, rating = input().split()\n    rating = int(rating)\n    names.append(name)\n    ratings.append(rating)\n\nnames.sort()\n\ntotal = sum(ratings)\nwinner_index = total % n\n\nprint(names[winner_index])",
                "n = int(input())\nsc = []\nfor i in range(n):\n    s, c = map(str, input().split())\n    sc.append((s, int(c)))\nsc.sort()\nprint((sc[(sum(c for s, c in sc) % n)][0]))",
                "n = int(input())\nsc = []\nfor i in range(n):\n    s, c = map(str, input().split())\n    sc.append((s, int(c)))\nsc.sort()\nprint((sc[sum(c for s, c in sc) % n][0]))",
                "n = int(input())\nusers = []\nfor i in range(n):\n    s, c = map(str, input().split())\n    users.append((s, int(c)))\nusers.sort()\nt = sum(c for s, c in users)\nprint(users[t % n][0])",
                "n = int(input())\n\nusers = []\nfor _ in range(n):\n    s, c = map(str, input().split())\n    users.append((s, int(c)))\n\nusers.sort()\n\ntotal = sum(c for s, c in users)\nprint(users[total % n][0])",
                "n = int(input())\na = []\nfor i in range(n):\n    s, c = map(str, input().split())\n    a.append([s, int(c)])\na.sort()\nprint(a[(sum(c for s, c in a) % n)].pop(0))",
                "n = int(input())\nnames = []\nratings = []\nfor _ in range(n):\n    name, rating = input().split()\n    rating = int(rating)\n    names.append(name)\n    ratings.append(rating)\n\nnames.sort()\ntotal = sum(ratings)\nprint(names[total % n])",
                "n = int(input())\ns = []\nfor i in range(n):\n    s.append(input().split())\ns.sort()\nt = 0\nfor i in range(n):\n    t += int(s[i][1])\nprint(s[t % n][0])",
                "n = int(input())\n\nnames = []\nratings = []\n\nfor i in range(n):\n    name, rating = input().split()\n    names.append(name)\n    ratings.append(int(rating))\n\nnames.sort()\n\ntotal = sum(ratings)\n\nprint(names[total % n])"
            ],
            "pass1_list": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "from bisect import bisect_left\n\nn = int(input())\nac = [list(map(int, input().split())) for _ in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\n\nres = []\nfor a, c in ac:\n    if not res or res[-1][1] > c:\n        res.append((a, c))\n\nprint(len(res))\nprint(*[i + 1 for a, c in res for i in range(n) if a == ac[i][0]])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nac = [list(map(int, input().split())) for i in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\nans = []\nfor i in range(n):\n    if not ans or ans[-1][1] > ac[i][1]:\n        ans.append(ac[i])\nprint(len(ans))\nprint(*[i + 1 for a, c in ans])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nac = [list(map(int, input().split())) for i in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\n\nres = []\nfor i in range(n):\n    if not res or res[-1][1] > ac[i][1]:\n        res.append(ac[i])\n\nprint(len(res))\nprint(*[i + 1 for i in range(n) if ac[i] in res])",
                "n = int(input())\na = []\nfor i in range(n):\n    x, y = map(int, input().split())\n    a.append((x, y, i + 1))\na.sort()\nans = [0] * n\ncnt = 0\nfor i in range(n):\n    if ans[a[i][2] - 1] == 0:\n        ans[a[i][2] - 1] = 1\n        cnt += 1\n        for j in range(i + 1, n):\n            if a[j][0] < a[i][0] and a[j][1] > a[i][1]:\n                ans[a[j][2] - 1] = 0\nprint(cnt)\nfor i in range(n):\n    if ans[i] == 1:\n        print(i + 1, end=\" \")",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nac = [list(map(int, input().split())) for i in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\nans = []\nfor i in range(n):\n    if not ans or ans[-1][1] > ac[i][1]:\n        ans.append(ac[i])\nprint(len(ans))\nprint(*[i + 1 for i in range(n) if ac[i] in ans])",
                "from bisect import *\n\nn = int(input())\na = [list(map(int, input().split())) for i in range(n)]\na.sort(key=lambda x: (x[0], -x[1]))\nb = [a[i][1] for i in range(n)]\nc = []\nfor i in range(n):\n    if i == 0:\n        c.append(a[i][1])\n    else:\n        if a[i][1] > c[-1]:\n            c.append(a[i][1])\nprint(len(c))\nd = []\nfor i in c:\n    d.append(bisect_left(b, i))\nprint(*d)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nac = [list(map(int, input().split())) for i in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\n\nres = []\nfor i in range(n):\n    if not res or res[-1][1] > ac[i][1]:\n        res.append(ac[i])\n\nprint(len(res))\nprint(*[i + 1 for i in range(n) if ac[i] in res])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nac = [list(map(int, input().split())) for i in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\n\nans = []\nfor i in range(n):\n    if not ans or ans[-1][1] > ac[i][1]:\n        ans.append(ac[i])\n\nprint(len(ans))\nprint(*[i + 1 for a, c in ans])",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nac = [list(map(int, input().split())) for i in range(n)]\nac.sort(key=lambda x: (x[0], -x[1]))\n\nans = []\nfor i in range(n):\n    if not ans or ans[-1][1] > ac[i][1]:\n        ans.append(ac[i])\n\nprint(len(ans))\nprint(*[i + 1 for i in range(n) if ac[i] in ans])",
                "from bisect import bisect_left\n\nN = int(input())\nAC = [list(map(int, input().split())) for _ in range(N)]\nAC.sort(key=lambda x: (x[0], -x[1]))\n\nres = []\nfor i in range(N):\n    if not res or res[-1][1] > AC[i][1]:\n        res.append(AC[i])\n\nprint(len(res))\nprint(*[i + 1 for a, c in res])"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 and x % 2 != 0 or y % 2 != 0\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if f(x, y):\n            ans += 1\nprint(ans * 2)",
                "a, b, c, d = map(int, input().split())\n\ndef f(x):\n    return x // 2 * 2 == x\n\n\ndef g(x, y):\n    return f(x + y)\n\n\ndef h(x, y):\n    return (f(x) + g(x, y)) % 2\n\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if h(x, y):\n            ans += 1\nprint(2 * ans * (c - a) * (d - b))",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    if x % 2 == 0:\n        return y % 2 == 0\n    else:\n        return y % 2 == 1\n\n\nans = 0\nfor i in range(a, c + 1):\n    for j in range(b, d + 1):\n        if f(i, j):\n            ans += 1\nprint(2 * ans * (c - a) * (d - b))",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 or x % 2 == 1 or y % 2 == 1\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if f(x, y):\n            ans += 1\nprint(ans * 2)",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 or x % 2 == 1 or y % 2 == 1\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if f(x, y):\n            ans += 1\nprint(2 * ans * (c - a) * (d - b))",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 and x % 2 != 0 or x % 2 == 0 and y % 2 == 0\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if f(x, y):\n            ans += 1\nprint(ans * 2)",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 and x % 2 != 0 or (x + y) % 2 != 0 and y % 2 == 0\n\n\nans = 0\nfor i in range(a, c + 1):\n    for j in range(b, d + 1):\n        if f(i, j):\n            ans += 1\nprint(ans * 2)",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 or x % 2 == 1\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if f(x, y):\n            ans += 1\nprint(ans * 2)",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 or x % 2 == 1 or y % 2 == 1\n\nans = 0\nfor x in range(a, c + 1):\n    for y in range(b, d + 1):\n        if f(x, y):\n            ans += 1\nprint(ans * 2)",
                "a, b, c, d = map(int, input().split())\n\ndef f(x, y):\n    return (x + y) % 2 == 0 and x % 2 != 0 or (x + y) % 2 != 0 and y % 2 == 0\n\n\nans = 0\nfor i in range(a, c + 1):\n    for j in range(b, d + 1):\n        if f(i, j):\n            ans += 1\nprint(ans * 2)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\ncards = [list(map(int, input().split())) for _ in range(n)]\n\nfront = set(a for a, _ in cards)\nback = set(b for _, b in cards)\n\nif len(front) + len(back) == n:\n    print(\"Takahashi\")\nelse:\n    print(\"Aoki\")",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nans = \"Aoki\"\nfor i in range(n):\n    for j in range(i + 1, n):\n        if a[i][0] == a[j][0] or a[i][1] == a[j][1]:\n            a.pop(j)\n            a.pop(i)\n            if len(a) % 2 == 0:\n                ans = \"Takahashi\"\n            break\n    if ans == \"Takahashi\":\n        break\nprint(ans)",
                "def main():\n    n = int(input())\n    ab = [list(map(int, input().split())) for _ in range(n)]\n    a = set(a for a, _ in ab)\n    b = set(b for _, b in ab)\n    if len(a) + len(b) < n:\n        print(\"Aoki\")\n        return\n    if n == 1:\n        print(\"Takahashi\")\n        return\n    if n == 2:\n        print(\"Aoki\")\n        return\n    if n == 3:\n        print(\"Takahashi\")\n        return\n    if n % 2 == 0:\n        print(\"Aoki\")\n    else:\n        print(\"Takahashi\")\n\n\nmain()",
                "n = int(input())\ncards = []\nfor i in range(n):\n    a, b = map(int, input().split())\n    cards.append((a, b))\ncards.sort()\ncards.reverse()\n\ndef check(cards):\n    for i in range(len(cards) - 1):\n        if cards[i][0] == cards[i + 1][0] or cards[i][1] == cards[i + 1][1]:\n            return False\n    return True\n\n\nif check(cards):\n    print(\"Aoki\")\nelse:\n    for i in range(len(cards)):\n        for j in range(i + 1, len(cards)):\n            if cards[i][0] == cards[j][0] or cards[i][1] == cards[j][1]:\n                cards.remove(cards[i])\n                cards.remove(cards[j])\n                if check(cards):\n                    print(\"Aoki\")\n                else:\n                    print(\"Takahashi\")\n                cards.append(cards[i])\n                cards.append(cards[j])\n                break\n    else:\n        print(\"Takahashi\")",
                "from collections import defaultdict\n\nn = int(input())\ncards = [list(map(int, input().split())) for _ in range(n)]\n\nfront = defaultdict(int)\nback = defaultdict(int)\nfor a, b in cards:\n    front[a] += 1\n    back[b] += 1\n\nfront_odd = sum(1 for v in front.values() if v % 2 == 1)\nback_odd = sum(1 for v in back.values() if v % 2 == 1)\n\nprint(\"Takahashi\" if front_odd * back_odd != 0 else \"Aoki\")",
                "n = int(input())\na = []\nfor i in range(n):\n    a.append(list(map(int, input().split())))\n\nans = 0\nfor i in range(n):\n    for j in range(i + 1, n):\n        b = a[:i] + a[i + 1 : j] + a[j + 1 :]\n        ans ^= n & 1 ^ nx(b)\n\nprint(\"Aoki\" if ans else \"Takahashi\")\n\n\ndef nx(a):\n    n = len(a)\n    if n == 0:\n        return 0\n    if n == 1:\n        return 1\n    if n == 2:\n        return 0\n    if n == 3:\n        return 1\n    if n == 4:\n        return 0\n    if n == 5:\n        return 1\n    if n == 6:\n        return 0\n    if n == 7:\n        return 1\n    if n == 8:\n        return 0\n    if n == 9:\n        return 1\n    if n == 10:\n        return 0\n    if n == 11:\n        return 1\n    if n == 12:\n        return 0\n    if n == 13:\n        return 1\n    if n == 14:\n        return 0\n    if n == 15:\n        return 1\n    if n == 16:\n        return 0\n    if n == 17:\n        return 1\n    if n == 18:\n        return 0\n\n    return 0",
                "from collections import defaultdict\n\nn = int(input())\ncards = [list(map(int, input().split())) for _ in range(n)]\n\nfront = defaultdict(int)\nback = defaultdict(int)\nfor a, b in cards:\n    front[a] += 1\n    back[b] += 1\n\nfront_odd = sum(1 for v in front.values() if v % 2)\nback_odd = sum(1 for v in back.values() if v % 2)\n\nprint(\"Takahashi\" if front_odd % 2 != back_odd % 2 else \"Aoki\")",
                "def main():\n    n = int(input())\n    ab = [list(map(int, input().split())) for _ in range(n)]\n    a, b = [set(x) for x in zip(*ab)]\n    if n % 2 == 0:\n        print(\"Aoki\")\n    else:\n        if n == 1:\n            print(\"Aoki\")\n        else:\n            print(\n                \"Takahashi\"\n                if len(a) % 2 != len(b) % 2 or len(a) % 2 == 0 and len(b) % 2 == 0\n                else \"Aoki\"\n            )\n\n\nmain()",
                "n = int(input())\nab = [list(map(int, input().split())) for _ in range(n)]\n\na = set(a[0] for a, b in ab)\nb = set(b[0] for a, b in ab)\n\nif n == 1 or (len(a) == 1 and len(b) == 1):\n    print(\"Aoki\")\nelif n % 2 == 0:\n    print(\"Aoki\")\nelse:\n    print(\"Takahashi\")",
                "def main():\n    n = int(input())\n    ab = [list(map(int, input().split())) for _ in range(n)]\n    ab.sort()\n    a = [a for a, b in ab]\n    b = [b for a, b in ab]\n    if n % 2 == 0:\n        print(\"Aoki\")\n        return\n    for i in range(n):\n        if i > 0 and a[i] == a[i - 1]:\n            continue\n        if i > 0 and b[i] == b[i - 1]:\n            continue\n        if i < n - 1 and a[i] == a[i + 1]:\n            continue\n        if i < n - 1 and b[i] == b[i + 1]:\n            continue\n        print(\"Takahashi\")\n        return\n    print(\"Aoki\")\n\n\nmain()"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelif a == 1 and b == 2:\n    print(3)\nelif a == 1 and b == 3:\n    print(2)\nelif a == 2 and b == 1:\n    print(-1)\nelif a == 2 and b == 3:\n    print(1)\nelif a == 3 and b == 1:\n    print(2)\nelif a == 3 and b == 2:\n    print(1)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelif a == 1 and b == 2:\n    print(3)\nelif a == 1 and b == 3:\n    print(2)\nelif a == 2 and b == 1:\n    print(-1)\nelif a == 2 and b == 3:\n    print(1)\nelif a == 3 and b == 1:\n    print(2)\nelif a == 3 and b == 2:\n    print(1)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelif a == 1 and b == 2:\n    print(3)\nelif a == 1 and b == 3:\n    print(2)\nelif a == 2 and b == 1:\n    print(-1)\nelif a == 2 and b == 3:\n    print(1)\nelif a == 3 and b == 1:\n    print(2)\nelif a == 3 and b == 2:\n    print(1)",
                "a, b = map(int, input().split())\nif a == b:\n    print(-1)\nelse:\n    print(6 - a - b)"
            ],
            "pass1_list": [
                false,
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                false,
                true
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = a + b\nc.sort()\nfor i in range(n + m - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = a + b\nc.sort()\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = sorted(a + b)\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\na.sort()\nb.sort()\nc = a + b\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = sorted(a + b)\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = a + b\nc.sort()\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = sorted(a + b)\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        exit()\nprint(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = sorted(a + b)\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = sorted(a + b)\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")",
                "n, m = map(int, input().split())\na = list(map(int, input().split()))\nb = list(map(int, input().split()))\nc = sorted(a + b)\nfor i in range(len(c) - 1):\n    if c[i] in a and c[i + 1] in a:\n        print(\"Yes\")\n        exit()\nprint(\"No\")"
            ],
            "pass1_list": [
                false,
                true,
                true,
                false,
                false,
                false,
                false,
                true,
                true,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ngrid = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    x = a[i] - 1\n    y = (x // n) + 1\n    x %= n\n\n    grid[y - 1][x] = 1\n\n    if sum(grid[y - 1]) == n:\n        print(i + 1)\n        break\n    if sum(grid[i][j] for i in range(n)) == n:\n        print(i + 1)\n        break\n    if sum(grid[i][i] for i in range(n)) == n:\n        print(i + 1)\n        break\n    if sum(grid[i][n - 1 - i] for i in range(n)) == n:\n        print(i + 1)\n        break\n\nelse:\n    print(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ntable = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    x, y = divmod(a[i] - 1, n)\n    table[x][y] = 1\n\n    if all(table[x]) or all(table[i][y] for i in range(n)) or all(table[i][i] for i in range(n)) or all(\n        table[i][n - 1 - i] for i in range(n)\n    ):\n        print(i + 1)\n        exit()\n\nprint(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ngrid = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    x, y = divmod(a[i] - 1, n)\n    grid[x][y] = 1\n\n    # check rows\n    if all(grid[x]):\n        print(i + 1)\n        exit()\n\n    # check columns\n    if all(grid[j][y] for j in range(n)):\n        print(i + 1)\n        exit()\n\n    # check diagonals\n    if x == y and all(grid[j][j] for j in range(n) if 0 <= j < x + 1):\n        print(i + 1)\n        exit()\n    if x + y == n - 1 and all(grid[j][n - 1 - j] for j in range(n) if 0 <= j < x + 1):\n        print(i + 1)\n        exit()\n\nprint(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ngrid = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    x, y = divmod(a[i] - 1, n)\n    grid[x][y] = 1\n\n    # check rows\n    if all(grid[x]):\n        print(i + 1)\n        break\n\n    # check columns\n    if all(grid[j][y] for j in range(n)):\n        print(i + 1)\n        break\n\n    # check diagonals\n    if all(grid[j][j] for j in range(n)) or all(grid[j][n - 1 - j] for j in range(n)):\n        print(i + 1)\n        break\n\nelse:\n    print(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ngrid = [[0] * n for _ in range(n)]\nfor i in range(t):\n    x = a[i] - 1\n    y = (x // n) + 1\n    x %= n\n\n    grid[y - 1][x] = 1\n\n    if sum(grid[y - 1]) == n or sum(grid[j][y - 1] for j in range(n)) == n:\n        print(i + 1)\n        break\n\n    if y == x + 1 and sum(grid[i][i] for i in range(n)) == n:\n        print(i + 1)\n        break\n\n    if y == n - x and sum(grid[i][n - i - 1] for i in range(n)) == n:\n        print(i + 1)\n        break\n\nelse:\n    print(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ngrid = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    x = a[i] - 1\n    y = (x // n) + 1\n    x %= n\n\n    grid[y - 1][x] = 1\n\n    if sum(grid[y - 1]) == n:\n        print(i + 1)\n        break\n    if sum(grid[i][y - 1] for i in range(n)) == n:\n        print(i + 1)\n        break\n    if sum(grid[i][i] for i in range(n)) == n:\n        print(i + 1)\n        break\n    if sum(grid[i][n - 1 - i] for i in range(n)) == n:\n        print(i + 1)\n        break\n\nelse:\n    print(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ntable = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    table[((a[i] - 1) // n)][(a[i] - 1) % n] = 1\n\nfor i in range(n):\n    if sum(table[i]) == n:\n        print(i + 1)\n        exit()\n\nfor i in range(n):\n    if sum([table[j][i] for j in range(n)]) == n:\n        print(i + 1)\n        exit()\n\nif sum([table[i][i] for i in range(n)]) == n:\n    print(n + 1)\n    exit()\n\nif sum([table[i][n - 1 - i] for i in range(n)]) == n:\n    print(n + 1)\n    exit()\n\nprint(-1)",
                "n, t = map(int, input().split())\na = list(map(int, input().split()))\n\ntable = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    table[((a[i] - 1) // n)][(a[i] - 1) % n] = 1\n\nfor i in range(n):\n    if sum(table[i]) == n:\n        print(i + 1)\n        exit()\n\nfor i in range(n):\n    if sum([table[j][i] for j in range(n)]) == n:\n        print(i + 1)\n        exit()\n\nif sum([table[i][i] for i in range(n)]) == n:\n    print(n + 1)\n    exit()\n\nif sum([table[i][n - 1 - i] for i in range(n)]) == n:\n    print(n + 1)\n    exit()\n\nprint(-1)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, T = map(int, input().split())\n\nA = [int(a) - 1 for a in input().split()]\n\ntable = [[0] * N for _ in range(N)]\n\nfor a in A:\n    i, j = divmod(a, N)\n    table[i][j] = 1\n\nfor i in range(N):\n    if sum(table[i]) == N:\n        print(i + 1)\n        exit()\n\nfor j in range(N):\n    if sum(table[i][j] for i in range(N)) == N:\n        print(j + 1)\n        exit()\n\nif sum(table[i][i] for i in range(N)) == N:\n    print(N + 1)\n    exit()\n\nif sum(table[i][N - i - 1] for i in range(N)) == N:\n    print(2 * N + 1)\n    exit()\n\nprint(-1)",
                "n, t = map(int, input().split())\na = [int(x) for x in input().split()]\n\ngrid = [[0] * n for _ in range(n)]\n\nfor i in range(t):\n    x = a[i] - 1\n    r = x // n\n    c = x % n\n    grid[r][c] = 1\n\n    if sum(grid[r]) == n or sum(grid[c]) == n or sum(grid[i][i] for i in range(n)) == n or sum(grid[i][n - i - 1] for i in range(n)) == n:\n        print(i + 1)\n        break\nelse:\n    print(-1)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "n = int(input())\r\nl = []\r\nfor i in range(n):\r\n    l.append(list(map(int, input().split())))\r\nl.sort(key=lambda x: x[1])\r\nans = 0\r\nlast = -1\r\nfor i in l:\r\n    if i[0] > last:\r\n        last = i[1]\r\n    else:\r\n        ans += 1\r\n        last = i[1]\r\nprint(ans)\r",
                "n = int(input())\nlr = []\nfor i in range(n):\n    l, r = map(int, input().split())\n    lr.append((l, r))\nlr.sort(key=lambda x: x[1])\nans = 0\ncnt = 0\nfor l, r in lr:\n    if r > lr[cnt][0]:\n        ans += 1\n    else:\n        cnt += 1\nprint(ans)",
                "import sys\n\ninput = sys.stdin.readline\nn = int(input())\nlr = [list(map(int, input().split())) for i in range(n)]\nlr.sort(key=lambda x: x[1])\nans = 0\nr = 0\nfor l, R in lr:\n    if l < r:\n        ans += 1\n    r = max(r, R)\nprint(ans)",
                "n = int(input())\nintervals = []\nfor i in range(n):\n    l, r = map(int, input().split())\n    intervals.append((l, r))\nintervals.sort(key=lambda x: x[1])\nans = 0\nlast_r = -1\nfor l, r in intervals:\n    if r > last_r:\n        ans += 1\n        last_r = r\nprint(ans * (n - ans))",
                "n = int(input())\nintervals = []\nfor i in range(n):\n    l, r = map(int, input().split())\n    intervals.append((l, r))\n\nintervals.sort(key=lambda x: x[1])\n\ncount = 0\nlast_r = -1\nfor l, r in intervals:\n    if r > last_r:\n        count += 1\n        last_r = r\n\nprint(count * (n - count))",
                "n = int(input())\r\nintervals = []\r\nfor _ in range(n):\r\n    l, r = map(int, input().split())\r\n    intervals.append([l, r])\r\n\r\nintervals.sort(key=lambda x: x[1])\r\n\r\ncount = 0\r\nlast_r = -1\r\nfor l, r in intervals:\r\n    if r > last_r:\r\n        count += 1\r\n        last_r = r\r\n\r\nprint(count * (n - count))\r",
                "import sys\n\ninput = sys.stdin.readline\nN = int(input())\ndata = [list(map(int, input().split())) for i in range(N)]\ndata.sort(key=lambda x: x[1])\nans = 0\nr = 0\nfor l, R in data:\n    if l > r:\n        r = R\n        continue\n    ans += N - (data.index([l, R]) + 1)\n    r = R\nprint(ans)",
                "N = int(input())\r\n\r\nintervals = []\r\nfor _ in range(N):\r\n    l, r = map(int, input().split())\r\n    intervals.append((l, r))\r\n\r\nintervals.sort(key=lambda x: x[1])\r\n\r\ncount = 0\r\nlast_r = -1\r\nfor l, r in intervals:\r\n    if r > last_r:\r\n        count += 1\r\n        last_r = r\r\n\r\nprint(count * (N - count))\r",
                "n = int(input())\r\nintervals = []\r\nfor _ in range(n):\r\n    l, r = map(int, input().split())\r\n    intervals.append([l, r])\r\n\r\nintervals.sort(key=lambda x: x[1])\r\n\r\ncount = 0\r\nlast_r = intervals[0][1]\r\nfor i in range(1, n):\r\n    if intervals[i][0] < last_r:\r\n        count += 1\r\n    else:\r\n        last_r = intervals[i][1]\r\n\r\nprint(count)\r",
                "n = int(input())\r\n\r\nintervals = []\r\nfor _ in range(n):\r\n    l, r = map(int, input().split())\r\n    intervals.append([l, r])\r\n\r\nintervals.sort(key=lambda x: x[1])\r\n\r\ncount = 0\r\nlast_r = -1\r\nfor l, r in intervals:\r\n    if r > last_r:\r\n        count += 1\r\n        last_r = r\r\n\r\nprint(count * (n - count))\r"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        },
        {
            "code_list": [
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL = L.bit_length() - 1\nR = R.bit_length()\n\nwhile L < R:\n    print(\"?\", L, 0)\n    sys.stdout.flush()\n    T = int(input())\n    L += 1\n\nprint(\"!\", T)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL_bin = bin(L)[2:]\nR_bin = bin(R + 1)[2:]\n\nL_bin = '0' * (N - len(L_bin)) + L_bin\nR_bin = '0' * (N - len(R_bin)) + R_bin\n\nans = 0\n\nwhile True:\n    for i in range(N):\n        if L_bin[i] == '0' and R_bin[i] == '1':\n            print('?', i, int(L_bin[:i] + '1', 2))\n            sys.stdout.flush()\n            ans += int(input())\n            L_bin = L_bin[:i] + '1' + L_bin[i + 1:]\n            break\n    else:\n        break\n\nprint('!', ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nans = 0\n\nwhile L <= R:\n    mid = (L + R) // 2\n    print(\"?\", N - 1, mid // (2 ** (N - 1)))\n    sys.stdout.flush()\n    ans += int(input())\n    if L == R:\n        break\n    if mid % 2 == 0:\n        L = mid + 1\n    else:\n        R = mid - 1\n\nprint(\"!\", ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nans = 0\n\nwhile L <= R:\n    mid = (L + R) // 2\n    print(\"?\", N - 1, mid // (2 ** (N - 1)))\n    sys.stdout.flush()\n    ans += int(input())\n    if L == R:\n        break\n    if mid % 2 == 0:\n        L = mid + 1\n    else:\n        R = mid - 1\n\nprint(\"!\", ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL_bin = bin(L)[2:]\nR_bin = bin(R + 1)[2:]\n\nL_len = len(L_bin)\nR_len = len(R_bin)\n\nif L_len < R_len:\n    L_bin = \"0\" * (R_len - L_len) + L_bin\nelif L_len > R_len:\n    R_bin = \"0\" * (L_len - R_len) + R_bin\n\nans = 0\n\nfor i in range(R_len):\n    if L_bin[i] == R_bin[i]:\n        ans += int(L_bin[i]) * (2 ** (R_len - i - 1))\n\nif L_bin == R_bin:\n    print(\"!\", ans % 100)\n    exit()\n\nfor i in range(R_len):\n    if L_bin[i] != R_bin[i]:\n        print(\"?\", R_len - i - 1, int(L_bin[i]))\n        sys.stdout.flush()\n        ans += int(input()) * (2 ** (R_len - i - 1))\n\nprint(\"!\", ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL, R = bin(L)[2:], bin(R)[2:]\n\nif len(L) < len(R):\n    L = '0'*(len(R) - len(L)) + L\nelse:\n    R = '0'*(len(L) - len(R)) + R\n\nans = 0\n\nfor i in range(N):\n    if L[i] == '1' or R[i] == '1':\n        print('?', i, int(L[i])//2)\n        sys.stdout.flush()\n        ans += int(input())\n        if L[i] == '1':\n            L = L[:i] + '0' + L[i+1:]\n        if R[i] == '1':\n            R = R[:i] + '0' + R[i+1:]\n\nprint('!', ans%100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nif L == R:\n    print('!', L % 100)\n    exit()\n\nans = 0\n\nfor i in range(N + 1):\n    if 2 ** i * 2 > 2 ** N:\n        continue\n    if L % (2 ** i) == 0 and R % (2 ** i) == (2 ** i) - 1:\n        print('?', i, L // (2 ** i))\n        sys.stdout.flush()\n        ans += int(input())\n    elif L % (2 ** i) == 0:\n        print('?', i, L // (2 ** i))\n        sys.stdout.flush()\n        ans += int(input())\n        L += 2 ** i - 1\n    elif R % (2 ** i) == (2 ** i) - 1:\n        print('?', i, R // (2 ** i))\n        sys.stdout.flush()\n        ans -= int(input())\n        R -= 2 ** i - 1\n    else:\n        print('?', i, L // (2 ** i))\n        sys.stdout.flush()\n        tmp = int(input())\n        L += 2 ** i - 1\n        R -= 2 ** i - 1\n        ans += tmp\n        print('?', i, R // (2 ** i))\n        sys.stdout.flush()\n        ans -= int(input())\n\nprint('!', ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL_bin = bin(L)[2:]\nR_bin = bin(R + 1)[2:]\n\nL_len = len(L_bin)\nR_len = len(R_bin)\n\nif L_len < R_len:\n    L_bin = \"0\" * (R_len - L_len) + L_bin\nelif L_len > R_len:\n    R_bin = \"0\" * (L_len - R_len) + R_bin\n\nans = 0\n\nfor i in range(R_len):\n    if L_bin[i] == R_bin[i]:\n        continue\n    print(\"?\", i, int(L_bin[i]))\n    sys.stdout.flush()\n    ans += int(input()) * (2 ** (R_len - i - 1))\n\nprint(\"!\", ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL_bin = bin(L)[2:]\nR_bin = bin(R)[2:]\n\nL_len = len(L_bin)\nR_len = len(R_bin)\n\nif L_len < R_len:\n    L_bin = '0' * (R_len - L_len) + L_bin\nelif L_len > R_len:\n    R_bin = '0' * (L_len - R_len) + R_bin\n\nans = 0\n\nfor i in range(N + 1):\n    if L_bin[:i] + '1' * (N - i) <= R_bin:\n        print('?', i, int(L_bin[:i], 2))\n        sys.stdout.flush()\n        ans += int(input())\n    if L_bin[:i] + '0' * (N - i) <= R_bin:\n        print('?', i, int(R_bin[:i], 2) + 1)\n        sys.stdout.flush()\n        ans -= int(input())\n\nprint('!', ans % 100)",
                "import sys\n\ninput = sys.stdin.readline\n\nN, L, R = map(int, input().split())\n\nL, R = bin(L)[2:], bin(R)[2:]\n\nL = '0' * (N - len(L)) + L\nR = '0' * (N - len(R)) + R\n\nans = 0\n\nfor i in range(N):\n    if L[i] == '0' and R[i] == '1':\n        print('?', i, int(L[i:].replace('0', ''), 2))\n        sys.stdout.flush()\n        ans += int(input()) % 100\n    elif L[i] == '1' and R[i] == '0':\n        print('?', i, int(R[i:].replace('0', ''), 2))\n        sys.stdout.flush()\n        ans += int(input()) % 100\n\nprint('!', ans % 100)"
            ],
            "pass1_list": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
            ],
            "metadata_list": []
        }
    ]
}