{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# B# B# A# A# #B A#\n\nReturn the final state of the program.\n", "answer": "A# B# B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 0, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #B #A A# #B #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 1, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #B B# #A A# B# A# A#\n\nReturn the final state of the program.\n", "answer": "#B B# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 2, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #A A# #A #A A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 3, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# B# B# A# A# A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 4, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #B #A #A #B #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 5, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# #B B# B# A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 6, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B A# #A A# A# #A B# #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 7, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A B# #B #A A# #A B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 8, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# B# #A #B #B #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 9, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #A #B A# B# B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 10, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #A #B A# A# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 11, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #B #B #B B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 12, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #A A# B# #A A# #A #B\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 13, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #B B# A# #A A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 14, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# #A #B #A #B #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 15, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# A# B# #B #B #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 16, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B A# B# #A A# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 17, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# #A B# #B #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 18, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #A #A #A A# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 19, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #B #A #A B# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 20, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #A #B A# #B A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 21, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B A# B# #A B# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 22, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A B# #B #B #B #A #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B #B #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 23, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B B# #B #A #A A# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 24, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #B #B #A #B #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 25, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #B #B #A #A #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 26, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# A# #A #A #B #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 27, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #B B# #A A# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 28, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A B# B# #A A# B# A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 29, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A #A B# #A B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 30, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B B# #B #A A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 31, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A B# B# #A A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 32, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B A# #B #A A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 33, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B B# #A A# #B B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 34, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# B# B# A# #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 35, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #A #B A# B# #B B# #B\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 36, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A B# B# B# #B B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 37, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #A #A #B #A A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A #B #A #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 38, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #B A# B# B# #B A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 39, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A B# B# #A B# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 40, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# B# #B A# A# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 41, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B A# #A B# #B #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 42, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A B# B# #B #A B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 43, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# A# #A #B A# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 44, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# #A #A #A A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 45, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A B# A# A# #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 46, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #A A# B# #B #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 47, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #A #A #B #A #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 48, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #B #B #B #B #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 49, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B B# A# #A A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A# B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 50, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# A# #A B# B# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#B #A A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 51, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #A #B A# #B #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 52, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# A# A# #A B# A# B#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 53, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B B# A# #A A# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 54, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# A# A# A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 55, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #B A# #B #A A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 56, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# B# B# B# B# A# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 57, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B B# #B #A #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 58, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B A# B# B# #A #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 59, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# B# #B #A #B A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 60, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# A# #B #B #A A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 61, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #B #A A# B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "B# A# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 62, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# #A #A #A B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 63, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B A# #A A# B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 64, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #A B# #B A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 65, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #A #B B# A# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 66, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #B A# A# B# #B #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 67, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #B #A A# #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 68, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B B# #B #B B# B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 69, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #B B# #A B# #B A# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 70, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #B #A B# #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 71, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A B# A# B# #A A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 72, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# A# #A #A #A #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 73, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# B# #B #B B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 74, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# B# #B B# #B A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 75, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #A #A A# #A #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 76, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B A# A# #B B# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 77, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B A# #A B# B# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 78, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B B# B# #A #A B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 79, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #A B# #B B# A# #A #B\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 80, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #B #A A# A# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B", "metadata": {"source_dataset": "ab", "source_index": 81, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# #B #A #A A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 82, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A B# #A B# #A A# A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 83, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# B# #B #B B# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 84, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# A# #A B# #B B# #A #A\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 85, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A B# #B A# B# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 86, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B B# #A B# A# B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 87, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #B A# #A B# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 88, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #A A# #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 89, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B A# B# A# #A A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 90, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #A #A A# A# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 91, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# A# #B A# #B B# #B B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 92, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B #A A# #B #A A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 93, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #B B# #B B# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 94, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A B# B# #B #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 95, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #A B# #A B# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 96, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A #A #A B# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 97, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A A# A# B# A# B# #B #B\n\nReturn the final state of the program.\n", "answer": "A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 98, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #B A# #A A# #A #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 99, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #A #A #A #A A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 100, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# B# B# B# A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "B# A# A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 101, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B A# B# #B A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 102, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B A# #A #B #A A# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 103, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A A# B# #A A# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 104, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #B B# #A #B #B A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 105, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #A #A #A A# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 106, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #B B# B# A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# B# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 107, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# B# #A #B B# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 108, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A #A #A A# #B #B A# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 109, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B B# A# A# A# A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B B# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 110, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #A #B #A #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 111, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B B# #B A# #B #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 112, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #A B# A# A# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 113, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #A B# B# B# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 114, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# A# A# #A #A B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 115, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# #B #A #B A# A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 116, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B B# B# B# A# #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 117, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B B# #A #B B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 118, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B A# #B #B A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 119, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #B #B #A #B #B A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 120, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #A B# #A B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 121, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A #B #B #B A# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 122, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B A# #B B# B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 123, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# #A A# #B #A #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 124, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #B #A A# A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 125, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B B# B# B# B# #B B# #B\n\nReturn the final state of the program.\n", "answer": "#B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 126, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A #A #B B# A# A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 127, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A A# B# #A #A A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 128, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #B B# #B #A #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 129, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# #A #A A# #B #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 130, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A B# #B A# #A A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 131, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# #B #A A# B# B# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 132, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# B# #A A# #B #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 133, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# A# #B #A #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 134, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B B# #B A# #B #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 135, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #A #B #A B# A# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A A# B#", "metadata": {"source_dataset": "ab", "source_index": 136, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# A# #A #B A# #A B# B#\n\nReturn the final state of the program.\n", "answer": "A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 137, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# #A A# #B B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "A# A# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 138, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #A B# #A #A B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 139, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# B# #A #A #A A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 140, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# #A #A B# A# A# A# A#\n\nReturn the final state of the program.\n", "answer": "A# B# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 141, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #A #A #A B# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 142, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #A #B #B #B B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 143, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# #B A# A# B# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 144, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# A# B# #B #B B# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B", "metadata": {"source_dataset": "ab", "source_index": 145, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# B# A# #A #B #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 146, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# A# #B A# A# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 147, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A B# B# #B #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 148, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# A# A# #B #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 149, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #A #B #A #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 150, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A #A B# A# #A B# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 151, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #B #A #B #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 152, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# B# #B A# #A B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 153, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A A# #A B# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 154, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# A# B# A# A# #B #B A#\n\nReturn the final state of the program.\n", "answer": "A# B# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 155, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# #B #B A# #A B# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 156, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A #A A# #B #A #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 157, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# B# #A A# #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 158, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B A# #A #A #B #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 159, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# B# #B A# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 160, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B B# A# #A B# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 161, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# B# #B #B #A A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 162, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #B #B B# B# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# B# B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 163, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# B# B# B# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 164, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# #A B# #B A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 165, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A #B #A #B #A #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 166, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A A# B# A# #A B# B# #B\n\nReturn the final state of the program.\n", "answer": "B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 167, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B B# A# #A B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 168, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A #A B# #B #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 169, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #A B# B# A# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 170, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #A A# B# #B #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 171, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A #B B# #B A# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 172, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A B# A# A# #B #A A#\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 173, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #B A# #B A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 174, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# #A B# A# #A B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 175, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A #A B# A# #A #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 176, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A A# #A #B #A #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 177, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #A #B #B #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 178, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# #B #A B# #A #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 179, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A A# A# #B B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 180, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B B# #B A# A# #A A# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 181, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B A# B# A# #B B# A# #A\n\nReturn the final state of the program.\n", "answer": "A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 182, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# B# #A B# A# B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 183, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# B# #A #A #B #B #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 184, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B B# #B #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 185, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B #B B# A# B# #A #B\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 186, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #A B# B# #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 187, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #B A# #B #B #B #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 188, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A B# B# #A #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 189, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# A# #A #A B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 190, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B B# A# A# #A B# A# A#\n\nReturn the final state of the program.\n", "answer": "B# B# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 191, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #B B# #A #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 192, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# A# A# #A B# A# A#\n\nReturn the final state of the program.\n", "answer": "#A A# B# A# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 193, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A A# #B B# #A B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 194, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #B A# B# #B A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 195, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B A# A# B# B# A# A# A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# A# B# B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 196, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #B A# #B A# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 197, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# #A A# #A A# B# A#\n\nReturn the final state of the program.\n", "answer": "B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 198, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# B# #A #A #A B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 199, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #B B# A# B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 200, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #B #A B# #A A# A# A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 201, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B A# #A A# B# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 202, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B A# #B #A #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 203, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A A# #B B# B# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 204, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #A #B A# #A B# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 205, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B A# #A #A #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 206, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B B# A# #B #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 207, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# A# A# B# B# #A #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 208, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# #B #B A# #A B# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 209, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# B# #A #A #B #B #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 210, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# B# A# #B A# B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 211, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B #A B# A# #A #B B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 212, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A B# #A #B #A #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 213, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #A #B A# #B #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #B #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 214, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A B# A# A# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 215, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B B# B# B# A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 216, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #B B# A# A# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 217, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B B# A# #A #B A# #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 218, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# A# #A B# #A #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B", "metadata": {"source_dataset": "ab", "source_index": 219, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #A #A #A B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 220, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #A B# #B #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 221, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# #A B# A# #A A# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 222, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #B #A B# B# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 223, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B B# #B #B A# A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 224, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #A A# A# #B A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 225, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B A# B# #A B# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 226, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# #A B# #A #A A# B# A#\n\nReturn the final state of the program.\n", "answer": "B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 227, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #A A# B# A# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 228, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A B# #A #B A# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 229, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B #A #A #A B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 230, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A #A B# B# A# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 231, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #B A# B# A# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 232, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A #A B# #A B# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 233, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #A #A #A A# #B B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 234, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# A# B# #B B# #B #A B#\n\nReturn the final state of the program.\n", "answer": "A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 235, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A A# #B #B #A B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 236, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B B# B# #A A# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 237, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A #B #A A# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 238, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# #B #B B# A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 239, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #A B# A# A# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 240, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #B #B #B B# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 241, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# #B #A B# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 242, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# #A #A #B #B A# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 243, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A A# A# #B #B #B B# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 244, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# B# #B B# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 245, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #B A# #B A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 246, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #B A# A# #B #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 247, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# B# B# A# #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# B# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 248, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #B A# #A B# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 249, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# #A B# #A #A B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 250, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# B# #B A# #B #A B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 251, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B B# A# #B #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 252, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A #B A# #A B# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 253, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# #B B# A# A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 254, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A A# A# B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 255, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #A #B #B #B A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 256, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #B #A #A A# A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 257, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #A #B B# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 258, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# #A A# B# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 259, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# A# #B #B B# #B #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 260, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# A# #A #B B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 261, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #B A# B# #A B# B# A#\n\nReturn the final state of the program.\n", "answer": "B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 262, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A B# B# B# #B #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 263, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A B# #B #B A# A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 264, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B #B #A A# #B B# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #A #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 265, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #A #A #A B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 266, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# B# B# B# B# #B A#\n\nReturn the final state of the program.\n", "answer": "A# B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 267, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A B# #A #A #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 268, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #B B# #A A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 269, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# #A B# B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 270, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# B# B# A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 271, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# A# #A B# #B B# #B\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 272, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A A# #A A# A# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 273, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A A# B# B# #B A# #B A#\n\nReturn the final state of the program.\n", "answer": "A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 274, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B A# B# B# #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 275, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #B B# #A #B #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 276, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B A# B# #A A# #A B# #A\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 277, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #A A# #B #A A# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 278, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# #A #B #A B# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 279, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# B# #A #A B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 280, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A A# #B #A #A #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 281, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# #B #A A# A# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 282, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# B# #A B# B# B# A# A#\n\nReturn the final state of the program.\n", "answer": "B# A# B# B# B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 283, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A A# #B #B A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 284, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A B# B# B# #B B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 285, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# #B #B #B B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 286, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A B# #B #A B# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 287, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B A# #A #A B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 288, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# A# #B #B #A #B #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 289, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B B# A# B# B# A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# A# B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 290, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# #B A# #A #A #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 291, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B B# #A #A #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 292, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B A# A# B# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 293, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# #A B# #B A# #B #A A#\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 294, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# #A #A #B A# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 295, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #B #B B# A# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 296, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B A# A# #A #B A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 297, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #A B# #A B# #A #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 298, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# A# #A A# #A #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 299, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# A# A# #B A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 300, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #B A# #A #B A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 301, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #A #A #A #B #B #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 302, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #B A# B# #A B# #A #B\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 303, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #B #B B# A# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 304, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A #B B# B# #A #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 305, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# B# #B #A A# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 306, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #B #A #A #A A# #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A #A #A #B", "metadata": {"source_dataset": "ab", "source_index": 307, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #A #A #A B# #B B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 308, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #A #A #B #B B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 309, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A B# B# #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 310, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B A# #B #B A# #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 311, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# A# B# A# A# #A B# #B\n\nReturn the final state of the program.\n", "answer": "B# B# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 312, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #A A# B# A# B# B# #B\n\nReturn the final state of the program.\n", "answer": "A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 313, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #B #B #B #B B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 314, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# B# B# #A B# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 315, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #A B# A# A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 316, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #A #B A# A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 317, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# A# B# B# B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A# B# B# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 318, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #B A# #B B# B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 319, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A #A #A #A #B #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 320, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #A A# A# #B A# #B B#\n\nReturn the final state of the program.\n", "answer": "A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 321, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B A# A# B# #A B# B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 322, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# #B #B B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 323, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# B# #B #B #A B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 324, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# #A B# A# #A #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 325, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# B# A# #B #A B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 326, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# A# A# #B B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 327, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# #A B# A# #B A# #A\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 328, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# B# #A A# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 329, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# A# B# #B #B B# #B B#\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 330, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# B# B# #A #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 331, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# B# B# #B #A #B #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 332, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# #B B# #A B# #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 333, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A B# A# #B #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 334, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# A# A# #B B# #A #B B#\n\nReturn the final state of the program.\n", "answer": "B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 335, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #B B# #B #B A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 336, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A #B #A #B A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 337, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B #B B# B# #A #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 338, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# B# A# #A B# #A B# #B\n\nReturn the final state of the program.\n", "answer": "#B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 339, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #A B# A# #A #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 340, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #B A# #A #A B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 341, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #A B# #B B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 342, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #A A# #B B# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 343, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #B A# A# B# #A #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 344, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# B# B# B# #A #A A# B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 345, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A B# A# #B B# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 346, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# B# #B #B B# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 347, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# B# #A #A B# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 348, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# B# B# #B A# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 349, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B B# #A B# A# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 350, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# A# #B #B B# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B A# B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 351, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A B# #B A# #A #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 352, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# B# A# #A A# #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 353, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A B# #A #B A# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B", "metadata": {"source_dataset": "ab", "source_index": 354, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #B A# #A B# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 355, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B #A #B B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 356, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# B# A# B# A# A# A# B#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B# A# B# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 357, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #B #B #B #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 358, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #A #B #B #A B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 359, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #B #A #B #B #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 360, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# B# #A #B B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 361, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# A# A# #A B# #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 362, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B A# A# #B #A B# B# #A\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 363, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #A A# B# A# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 364, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A #B #B A# #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 365, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# A# #B #A A# #B A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 366, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B A# #B B# A# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 367, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #A A# #A #B B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 368, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A B# B# B# #B #B B# A#\n\nReturn the final state of the program.\n", "answer": "B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 369, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# B# A# #A B# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 370, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #A B# B# #A #B #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 371, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# #A #A A# #A B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 372, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# B# B# A# A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 373, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #A #B A# #A A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 374, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #A A# #A A# #B A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 375, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #A B# #A B# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 376, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A #A A# A# B# A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 377, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A #B A# A# A# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 378, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #A #A #B #B B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 379, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #A A# B# #A A# #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 380, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B B# #A B# #B #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 381, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #B A# B# B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 382, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #A A# B# B# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 383, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A A# B# A# #A #B #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 384, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# B# #A A# A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 385, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B A# #A #A A# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 386, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A A# B# #B #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 387, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# B# B# #B #A #A B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 388, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# A# #B B# B# B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 389, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #B B# B# B# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 390, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# A# #B #A #A A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 391, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #B #A A# B# #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B", "metadata": {"source_dataset": "ab", "source_index": 392, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# #B #A B# A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 393, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# B# #A B# A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 394, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# B# A# #A #B #B #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B", "metadata": {"source_dataset": "ab", "source_index": 395, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #B A# A# B# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 396, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A #B #A #B #A #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B #A #B #A #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 397, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #A B# B# B# A# #A B#\n\nReturn the final state of the program.\n", "answer": "B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 398, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #B B# #B #A A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B", "metadata": {"source_dataset": "ab", "source_index": 399, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #B #B #B #B B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 400, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #A #A A# #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 401, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #A #B #A #A #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #A #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 402, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #B #A #B #A B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 403, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# B# #B B# #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 404, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #B B# #B #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 405, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A B# A# #A #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 406, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B A# B# #B A# #A #B\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 407, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #B A# A# #B A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 408, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A A# A# A# #A #A B#\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 409, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #A A# #A A# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 410, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #B #B B# #B A# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 411, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #B B# #A #A B# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B #A #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 412, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# B# B# B# #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B A# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 413, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #B A# A# #A #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 414, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A #B #A A# B# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 415, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# A# #A #B #A A# #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 416, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# #B #B #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 417, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #B #A A# #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 418, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B B# A# #B #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 419, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# A# A# #A #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 420, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# A# B# #B B# B# #B\n\nReturn the final state of the program.\n", "answer": "A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 421, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# B# #A B# #A A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 422, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# A# B# B# B# #B A# #A\n\nReturn the final state of the program.\n", "answer": "B# B# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 423, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# B# B# B# #B #A B#\n\nReturn the final state of the program.\n", "answer": "B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 424, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# A# #B A# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 425, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# A# B# #B B# #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 426, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #B #B A# A# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 427, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# B# #B A# #B #B A# #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 428, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A #A B# #A A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 429, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B A# B# A# #B #A B# B#\n\nReturn the final state of the program.\n", "answer": "B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 430, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# A# #A A# #A #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 431, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B B# #A #A #A B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 432, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #A A# A# #A #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 433, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A #A #B #B B# #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 434, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A B# #B B# A# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 435, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# A# #A #B #A A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 436, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# B# A# B# B# A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B# A# B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 437, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B B# #A A# B# B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A B# A# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 438, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B #A #B B# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 439, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A B# B# #B B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 440, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# A# A# B# #A B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A A# A# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 441, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# A# #B B# A# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 442, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B #A #A #B #B #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 443, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #A B# B# #B #A #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 444, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# B# #A #A B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 445, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A #B #A B# #B A# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 446, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# #B A# A# #A A# #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 447, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #A #B B# #B #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 448, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #A B# #B B# #B B# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 449, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# A# A# B# B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A A# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 450, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #A #A #B A# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 451, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# #B #A #B #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 452, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# B# #A #A #A B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 453, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #A B# B# B# B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 454, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# #A B# A# A# A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 455, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# B# #A #B A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 456, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A #B #A A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 457, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #B B# A# #A A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 458, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# #A #A #A B# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 459, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# #B A# #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A A# B#", "metadata": {"source_dataset": "ab", "source_index": 460, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A B# #B #A B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 461, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# B# A# B# B# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 462, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A #A #A #B #A #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 463, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #B #A B# B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 464, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B B# #B #A A# #A B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 465, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# A# #A #A A# #A #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 466, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# B# A# #A #A #B #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 467, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# A# B# #A B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 468, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# B# B# #B B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 469, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #A #B #A #B B# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 470, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# B# #B #A #A #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 471, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# B# #B #B #A #B #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 472, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A B# A# A# #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 473, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #A A# #A A# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 474, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B B# #B #A B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 475, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #A #B B# #B A# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 476, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A B# B# #A B# A# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 477, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #B B# #B #B #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 478, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #A #B B# #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 479, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B A# B# A# B# B# A# #B\n\nReturn the final state of the program.\n", "answer": "A# A# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 480, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# #B B# A# #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 481, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #B #A A# #A B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 482, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# B# A# B# #A #B A# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 483, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# A# #A #B #B #B A# B#\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 484, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# #A B# #A A# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 485, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #B #B B# B# B# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 486, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B B# #B B# #B #B A# B#\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 487, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #B A# #B #B B# A# A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 488, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #B A# A# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 489, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# #B #A A# A# B# #B #A\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 490, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A #A #B A# #B #A #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 491, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B B# #A #A #B A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 492, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #B B# A# B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #B B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 493, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B #B #B B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 494, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# A# #B #B B# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 495, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B A# B# #A #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 496, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# B# #A B# A# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 497, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #A #B #B A# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 498, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #B B# B# #A #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 499, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #B B# B# #B #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 500, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B B# #A A# A# #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 501, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #A A# A# #B #B #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 502, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #B A# #B #A #A A# B#\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 503, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #B A# #A #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 504, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #A #B B# #B #A B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 505, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# A# #B B# #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 506, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #B B# #A #B A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 507, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #A A# B# A# #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A B# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 508, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# B# #A #B #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 509, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B A# B# #B #B A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 510, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B B# #B A# #B #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 511, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# #B B# A# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 512, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# B# A# B# #A #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 513, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #A A# A# #B B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 514, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #B B# B# #B A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 515, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# A# B# #B A# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 516, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #A B# B# #A #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 517, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B A# #B #A B# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 518, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A B# B# B# #A #B B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 519, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# B# A# #B B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 520, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# #A #A B# #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 521, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A A# #A #B #A #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 522, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #B #B #A B# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 523, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# #B A# #B A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 524, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B A# #A #B #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 525, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #A #B B# A# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 526, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A #A #A A# #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 527, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# #A A# A# #A #A B# B#\n\nReturn the final state of the program.\n", "answer": "A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 528, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #B A# B# A# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A A# A# B# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 529, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #A #A #B A# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 530, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #B #B B# A# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 531, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A B# #B #B #B #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 532, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B A# #B #B #B #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 533, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #A #B A# B# #A #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 534, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #A #B #B A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 535, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #A #A A# B# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 536, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B B# #A A# #A A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 537, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A B# #B #A #A B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 538, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A #B A# #B #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 539, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #B B# #B A# A# B# B#\n\nReturn the final state of the program.\n", "answer": "B# A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 540, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #A B# #A #B #A B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 541, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #B #A A# A# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 542, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# #B #A #A #B #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 543, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A A# #B B# A# #B #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 544, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #B B# #B B# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 545, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# A# #A A# #A A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 546, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #A #B B# B# #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 547, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #B #B #A B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 548, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B B# A# B# #A B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 549, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# B# B# #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#B A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 550, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A A# #B #B #B A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B #B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 551, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #A A# A# #B B# A# A#\n\nReturn the final state of the program.\n", "answer": "#A A# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 552, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B A# B# #B #B #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 553, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# B# B# B# B# #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 554, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #B A# #B #A #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 555, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# #B #A #A #A A# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 556, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #B A# #A B# #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 557, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B B# A# #B #B #B #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 558, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# #B #B #B A# A# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 559, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A #A #B #B #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 560, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B A# A# A# #B A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 561, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A #A #B #B #A B# A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 562, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# A# #A B# #B B# #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 563, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A B# #B #B #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 564, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# #A A# B# B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 565, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #B #A B# #A A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 566, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# B# B# B# #A A# A# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 567, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #A #A #A B# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #A #A #A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 568, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A A# #B B# #B B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 569, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# A# #A #A B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 570, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #B #B #B A# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 571, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# A# A# A# A# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A# A# A# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 572, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# B# #A #A #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 573, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #A B# B# B# #A B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 574, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #A A# #A A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 575, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B A# #A B# A# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 576, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B B# A# B# B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 577, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# #B B# #A A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 578, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #B #A B# #B #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B #A #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 579, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #A A# #B A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 580, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# #B A# A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 581, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# B# #A #A #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 582, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #A #B #A #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 583, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# B# #A #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "#A A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 584, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# B# A# B# A# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A A# B# B# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 585, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #B B# B# #B #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 586, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B A# #A A# #B #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B", "metadata": {"source_dataset": "ab", "source_index": 587, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #A B# #A B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 588, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# B# B# B# #A B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 589, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# A# #A A# B# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 590, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A A# A# A# #A B# B#\n\nReturn the final state of the program.\n", "answer": "A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 591, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# #B B# B# B# #B #A B#\n\nReturn the final state of the program.\n", "answer": "B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 592, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B #A #B A# B# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #B A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 593, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #B #B #A #A #B #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 594, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A B# A# #B #B A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 595, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #B A# B# #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 596, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A A# #A B# B# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 597, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# #A B# B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 598, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #B #A #B A# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 599, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# #A #B #A #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 600, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# A# #A B# #A A# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 601, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B A# #B B# B# A# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 602, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B A# #A A# #B B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 603, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #A #B B# #A #A #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 604, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #B #A A# #B #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 605, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# A# #B #A #B #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 606, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A #B A# #A A# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B", "metadata": {"source_dataset": "ab", "source_index": 607, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #B #B #B B# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 608, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# A# B# A# B# #A B# #A\n\nReturn the final state of the program.\n", "answer": "A# B# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 609, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# A# B# A# #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 610, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #A #B #B #B #B B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 611, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B #B #A B# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 612, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A A# A# B# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 613, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #B A# A# B# B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 614, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #A #A #B A# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #B #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 615, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #B A# #B #B A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 616, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# A# B# B# #A #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 617, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A A# B# B# A# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 618, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# B# #A B# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 619, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# #A #A #A #B A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 620, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# #A A# #B #B B# #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 621, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #B B# #B A# A# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 622, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A B# #B #A A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 623, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #A A# #A A# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 624, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #A #A #A B# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 625, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #B B# A# B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 626, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# #A #A #A B# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 627, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B B# #B #B #A #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 628, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #B #A A# #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 629, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# B# #A A# B# A# #A A#\n\nReturn the final state of the program.\n", "answer": "A# B# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 630, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B B# A# #A #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 631, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# B# B# #A #A A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 632, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B #A #B #A #B #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 633, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #A #B #A #A #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 634, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# #B #B A# #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 635, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A A# B# #B A# A# B#\n\nReturn the final state of the program.\n", "answer": "A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 636, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# A# #A B# #B #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 637, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A #A #B #A #B B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 638, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B #B A# #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 639, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# #B #B #B #A B# B# #B\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 640, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A B# B# A# A# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#B B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 641, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #A #B #B B# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #B #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 642, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# #A A# B# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 643, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #B #B #A A# A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 644, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B A# A# B# A# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 645, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B B# B# #A B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 646, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #B #A B# A# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 647, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# #B A# B# #A A# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 648, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# #B #A #A B# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 649, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B B# #B A# A# A# B# B#\n\nReturn the final state of the program.\n", "answer": "A# A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 650, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A B# #A A# B# A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# A# B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 651, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# #B #B #A #A A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 652, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A #B #A #A B# #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 653, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #B B# #A #B B# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 654, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A A# #A #B #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 655, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #B B# #A B# #B B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 656, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# A# B# A# A# #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 657, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B B# #A A# A# B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 658, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# A# B# B# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 659, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# #A B# #A #B #B A# #A\n\nReturn the final state of the program.\n", "answer": "", "metadata": {"source_dataset": "ab", "source_index": 660, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #B B# #B A# #A A# A#\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 661, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B #B B# #A #B #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 662, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #A #B #B #A B# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 663, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #B A# #A #A #A B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 664, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B A# #A A# #B #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 665, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A B# #A #B #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 666, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# A# B# A# #B #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 667, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B #A A# #A #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 668, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #A B# #B B# B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 669, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# #B B# A# #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 670, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A #B #B A# #A #B #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B #B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 671, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A A# #A #B A# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 672, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# A# A# B# #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 673, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# B# A# #B B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 674, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B B# A# A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 675, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #B B# #B #B #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 676, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #A #B #A #B #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 677, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #B #B A# #B A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 678, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #A #B #B #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 679, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A #B #A B# #A B# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 680, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A B# #A #A B# #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 681, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# #A B# #B #A A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 682, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# A# #A B# B# #A B# #B\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 683, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B A# #B B# A# #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 684, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B B# A# #A #A B# B# B#\n\nReturn the final state of the program.\n", "answer": "B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 685, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# A# #A #A B# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 686, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# B# #A B# A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A A# B#", "metadata": {"source_dataset": "ab", "source_index": 687, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #B B# B# #A #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 688, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# #B #B A# #B #A #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 689, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# A# #B B# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 690, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# B# #B A# B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 691, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A B# A# #A A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 692, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #B A# B# A# #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 693, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# A# #B A# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 694, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# B# B# #A #A #B A# A#\n\nReturn the final state of the program.\n", "answer": "B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 695, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A B# B# #A #A A# #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 696, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B B# B# A# A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 697, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# B# A# A# B# B# #A B#\n\nReturn the final state of the program.\n", "answer": "B# B# A# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 698, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B #A A# A# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 699, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# A# A# #B B# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 700, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# #B #B #A B# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 701, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# A# #A #A #A #A #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 702, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# A# #B #B #B #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 703, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #B B# B# B# #A #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 704, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #A #A #B B# A# A# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 705, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A #B A# #A #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 706, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B #A A# #B #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 707, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# B# #B A# A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 708, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A B# A# A# B# B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 709, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B A# #A B# #A #B A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 710, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A B# A# A# #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 711, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# B# A# A# A# B# B# A#\n\nReturn the final state of the program.\n", "answer": "B# B# A# A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 712, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A A# #A #A B# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 713, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A A# A# B# B# #A #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 714, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B B# #B #A #B B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 715, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A #B #B A# #B #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 716, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# #B A# #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 717, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A A# B# A# #B #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 718, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A #A A# #A B# A# A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 719, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B B# A# #A B# B# A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 720, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B A# A# A# #A B# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 721, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B B# B# #A A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 722, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #B #A B# B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#B B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 723, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A #A #A B# #A A# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 724, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B B# #B #A B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B", "metadata": {"source_dataset": "ab", "source_index": 725, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A B# #B B# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 726, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# #A A# B# A# B# #B A#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 727, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B B# A# #A A# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 728, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #B #B A# #A #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 729, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# B# #A #B #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 730, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #A #B #B B# A# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B B# A#", "metadata": {"source_dataset": "ab", "source_index": 731, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# #B #B B# B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 732, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #B #B A# A# B# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 733, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #B A# #B #B A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B A# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 734, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #A #A #A A# #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 735, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #A B# #B #A #B A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A A# B#", "metadata": {"source_dataset": "ab", "source_index": 736, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# B# #A #A B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 737, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# #B B# #B #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "#A A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 738, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B B# #A #B A# #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 739, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A #A #B #A #A #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #A #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 740, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B #B #A B# A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 741, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A B# #A #A #A #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 742, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B A# B# #B B# #A #B #A\n\nReturn the final state of the program.\n", "answer": "", "metadata": {"source_dataset": "ab", "source_index": 743, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #A B# B# A# A# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 744, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B B# #A A# #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 745, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A B# B# B# B# #A B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 746, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B B# #B #A #A B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 747, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #B B# #A A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 748, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# B# B# #B A# #A #A B#\n\nReturn the final state of the program.\n", "answer": "B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 749, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B B# A# A# #A B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 750, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# #B #A #B B# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 751, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A #B #B A# A# A# B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 752, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# #A #A B# #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 753, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #B #B #B #B A# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 754, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #B #B A# #A #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 755, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B A# #B B# #A #B A# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 756, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# B# #B A# B# A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 757, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #B #A A# #B B# B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 758, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A A# #B A# #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 759, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A #A B# #A #B #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 760, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #B A# B# B# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 761, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #A A# A# B# B# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 762, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #A A# #B #B #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 763, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A #A #A B# #B A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 764, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# B# #A B# B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 765, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A B# #B B# #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 766, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #A #B B# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 767, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #A B# #B A# B# #B #A\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 768, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B A# B# A# A# #A #A #B\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 769, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #A #A B# B# B# #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 770, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B #A B# A# #A A# #B\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 771, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# A# #A B# #B B# #B A#\n\nReturn the final state of the program.\n", "answer": "B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 772, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #A #A #B A# A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 773, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B A# A# #A #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 774, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A B# #A #A #A #B B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 775, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B A# #B A# #B #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B #B A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 776, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# #A #A B# #A #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 777, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B A# B# B# #A A# A# B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 778, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A B# A# A# #B #A #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 779, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A B# #B #A #B A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 780, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# A# #A B# B# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 781, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# B# A# A# A# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B# A# A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 782, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# B# B# A# A# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 783, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A B# B# A# B# B# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 784, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B A# #B #B A# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 785, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# B# B# #A #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 786, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B B# A# #A A# #B A# #A\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 787, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A #B A# B# #B A# #A\n\nReturn the final state of the program.\n", "answer": "#A A#", "metadata": {"source_dataset": "ab", "source_index": 788, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B B# A# B# B# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 789, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #B A# B# #B #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 790, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# A# #B #B #B B# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 791, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# B# A# #A A# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 792, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #A #A #B #B #B A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 793, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# A# A# A# #A #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 794, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A B# B# #B A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 795, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B #B #A #A #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 796, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# B# #B B# A# #A #B A#\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 797, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B #B #B #A B# A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 798, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #B #B #B #A A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 799, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# #A A# #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 800, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A B# #B #A #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 801, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A #B #A #A #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 802, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# B# A# B# #B #B B#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 803, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B B# B# #A B# B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 804, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #A A# A# #A #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B", "metadata": {"source_dataset": "ab", "source_index": 805, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# A# #A A# #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 806, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #A A# B# #A A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 807, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #B A# #A A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 808, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #B #B #B B# B# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 809, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #B #A B# #B #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 810, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A #A #A #A A# B# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 811, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B A# #A B# A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 812, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# A# A# #A #B B# B# #B\n\nReturn the final state of the program.\n", "answer": "#A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 813, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# B# #A #B #B A# #B B#\n\nReturn the final state of the program.\n", "answer": "A# B#", "metadata": {"source_dataset": "ab", "source_index": 814, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #B #B B# #B B# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 815, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #B B# #B #B B# #B B#\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 816, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# A# #B B# #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 817, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# A# #A #A #B B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 818, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# A# B# B# #B A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 819, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# B# A# B# #A #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 820, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A A# B# B# B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A A# B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 821, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A B# B# A# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 822, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B A# #A A# #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 823, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# B# #A A# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 824, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A B# #A #A A# #A A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 825, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A A# A# B# #B B# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A# A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 826, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# B# #B A# B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 827, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B A# #A #A #A #B B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A #A #B", "metadata": {"source_dataset": "ab", "source_index": 828, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B A# #A #A #A #A B# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 829, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #B #B B# A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 830, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A #A A# #A #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 831, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A A# A# B# #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 832, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B B# #B A# #A #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 833, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #B A# A# A# A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 834, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #B #A A# #B #A #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 835, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B #B A# B# B# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 836, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# A# B# B# #A A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 837, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# B# #B #A A# A# #A\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 838, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B B# #B #A A# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 839, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# #B #B #B B# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 840, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A A# #A #A #A A# B# A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 841, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #A A# #B #A A# A# A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 842, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #A #B A# #A A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 843, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B A# B# #A B# #B A# A# A#\n\nReturn the final state of the program.\n", "answer": "B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 844, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# B# #A A# #B #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A", "metadata": {"source_dataset": "ab", "source_index": 845, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #B #B #A #B B# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 846, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# B# B# A# B# A# #A #B\n\nReturn the final state of the program.\n", "answer": "B# A# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 847, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A #A A# #B A# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 848, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# B# A# #B B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 849, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# #B #B B# B# B# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 850, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A #B A# #B B# B# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B B#", "metadata": {"source_dataset": "ab", "source_index": 851, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #A B# A# #A A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 852, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# B# B# #B #A #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B", "metadata": {"source_dataset": "ab", "source_index": 853, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #A #B A# #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 854, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #B #A #B A# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 855, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #A A# #B B# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 856, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #A A# #A #B #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 857, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# A# B# #A A# B# #B B#\n\nReturn the final state of the program.\n", "answer": "#A B# A# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 858, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# B# #B #B #A #A #B #B\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 859, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B A# B# B# B# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 860, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #B B# B# B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 861, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #B #B A# #B A# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #B #B A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 862, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B A# B# #B B# A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 863, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# #A #A #B #A #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 864, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #A #A #B B# B# B# #B\n\nReturn the final state of the program.\n", "answer": "#B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 865, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# #A #A #B #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 866, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# B# A# #A #B #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B B#", "metadata": {"source_dataset": "ab", "source_index": 867, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A #A A# #B B# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 868, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# B# B# #B B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 869, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B B# #A A# A# A# B# #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 870, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #A #A #B #B B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 871, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# #A B# A# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 872, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A #B A# #A #B #B A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B", "metadata": {"source_dataset": "ab", "source_index": 873, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A B# #A #A #B A# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 874, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# #B #B #A #A A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 875, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# #A A# #B A# #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 876, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A B# B# B# B# B# #B A# #B\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 877, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# #A B# A# B# #B #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #A B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 878, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #B A# B# A# B# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B A# B# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 879, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# B# A# B# #A #A A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 880, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A A# #B A# A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 881, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B A# #B #A A# A# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 882, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #B A# #A B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 883, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A B# A# A# #B #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 884, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# B# #A #B #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 885, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# B# #B B# #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A #B #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 886, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #A A# #B #A #A #A A# #A\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 887, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #A #B B# #A #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 888, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# #A #B B# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 889, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# A# B# A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A# A# B# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 890, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# B# B# #A #A A# A# #B\n\nReturn the final state of the program.\n", "answer": "B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 891, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# A# A# #A B# #A #A B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 892, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# #A B# #A #B #B #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 893, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# A# B# A# #B B# #B #B\n\nReturn the final state of the program.\n", "answer": "A# A#", "metadata": {"source_dataset": "ab", "source_index": 894, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B B# #B B# B# #A #B B#\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 895, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A B# #A #A #B A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #A A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 896, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# B# B# #A A# A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 897, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# A# #A A# A# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A #B A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 898, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #B #A A# #A #A B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 899, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #A #B A# #B #A #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 900, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B #B #A #A B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 901, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# #A #B A# B# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B", "metadata": {"source_dataset": "ab", "source_index": 902, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# B# B# B# #B #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 903, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A #A B# A# B# #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 904, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A A# B# #B #A A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B#", "metadata": {"source_dataset": "ab", "source_index": 905, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# A# #B #A B# #A B# #A\n\nReturn the final state of the program.\n", "answer": "#A #B B# B#", "metadata": {"source_dataset": "ab", "source_index": 906, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A #A #A #A #B #A A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 907, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #B B# #B A# #A A# B# #B\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 908, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #A #A A# #B B# A# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A A#", "metadata": {"source_dataset": "ab", "source_index": 909, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B B# A# B# A# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# B# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 910, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B #A #B B# A# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 911, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #A #A A# #A B# A# A#\n\nReturn the final state of the program.\n", "answer": "#A B# B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 912, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #B B# #B #A A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 913, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #B A# #A #A #A #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 914, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# #A #A #B A# B# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 915, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B B# #B #B #B A# B# #B #A\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 916, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #B #B B# A# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 917, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# A# #A #B #A #B #B #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A #A", "metadata": {"source_dataset": "ab", "source_index": 918, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #A B# #A #B B# #A #B\n\nReturn the final state of the program.\n", "answer": "#B #A", "metadata": {"source_dataset": "ab", "source_index": 919, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A B# #B B# #A #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #A B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 920, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# A# #A #A B# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 921, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# B# #B A# A# A# A# B#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 922, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A #B #A #A #B B# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 923, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #A #B #B #A #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #A #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 924, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #B A# A# A# #B A# #A B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 925, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# B# #B #A #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#A B#", "metadata": {"source_dataset": "ab", "source_index": 926, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #A A# #B A# B# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 927, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# B# B# A# #A A# B# B#\n\nReturn the final state of the program.\n", "answer": "#A A# A# B# B# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 928, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A B# A# A# B# B# B# B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B# A# A# B# B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 929, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# #B #B #A B# #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 930, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #A #A A# #B #B A# A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 931, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# #B #B #B B# #A #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 932, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# #A A# #A A# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B A#", "metadata": {"source_dataset": "ab", "source_index": 933, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# A# #A #B #A B# A# #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 934, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# B# #A B# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 935, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B B# #B B# #A #B B# A#\n\nReturn the final state of the program.\n", "answer": "B# A#", "metadata": {"source_dataset": "ab", "source_index": 936, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# A# #A B# A# A# B# A#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B# A# A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 937, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# B# #A #A #B #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #A #A #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 938, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# B# #A #A #B A# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B", "metadata": {"source_dataset": "ab", "source_index": 939, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A A# #B #A A# #A #A A# A#\n\nReturn the final state of the program.\n", "answer": "#B #A A# A#", "metadata": {"source_dataset": "ab", "source_index": 940, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# A# #A #B B# A# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 941, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# A# #A #A A# #A #A B#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 942, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #A A# #B #B B# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 943, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# A# #B #B #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 944, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# #A A# B# A# B# #A #B\n\nReturn the final state of the program.\n", "answer": "A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 945, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# A# B# A# #A #A A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 946, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A #A #B A# A# B# B# A#\n\nReturn the final state of the program.\n", "answer": "#A A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 947, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A #A #A A# B# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 948, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B B# #A #A B# B# #B B# #A\n\nReturn the final state of the program.\n", "answer": "#A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 949, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A A# #A #A #A A# #A #B #B\n\nReturn the final state of the program.\n", "answer": "#A #A #A #B", "metadata": {"source_dataset": "ab", "source_index": 950, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# B# #A B# #A #B #A #A #B\n\nReturn the final state of the program.\n", "answer": "#A #A", "metadata": {"source_dataset": "ab", "source_index": 951, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# B# A# #A #A A# A#\n\nReturn the final state of the program.\n", "answer": "#A B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 952, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A B# #B #A A# #A #A #A A#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 953, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# A# A# #A A# #B #A B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B#", "metadata": {"source_dataset": "ab", "source_index": 954, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A #A B# #A B# #A B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #A #A B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 955, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #B B# B# #B B# A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 956, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B B# #A A# B# B# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 957, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# #B #A A# #B B# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B #B A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 958, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# A# #B B# #B #A #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 959, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# B# B# #A #B B# A# #B A#\n\nReturn the final state of the program.\n", "answer": "#B #A B# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 960, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# #B #B #B #B A# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 961, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# B# B# #A A# B# #A A# B#\n\nReturn the final state of the program.\n", "answer": "#B B# B# B# A# B#", "metadata": {"source_dataset": "ab", "source_index": 962, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B #A #A B# #B A# #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 963, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A A# B# #B A# B# #A A# B# #A\n\nReturn the final state of the program.\n", "answer": "#A A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 964, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A B# B# A# B# A# #B #A\n\nReturn the final state of the program.\n", "answer": "B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 965, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A A# A# A# B# A# #A A# #A\n\nReturn the final state of the program.\n", "answer": "#B #A A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 966, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B A# #B B# B# B# #A A#\n\nReturn the final state of the program.\n", "answer": "#B A# B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 967, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# #B #B #B B# B# #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 968, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #A A# #B B# #B #B #B #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #B #B #B B#", "metadata": {"source_dataset": "ab", "source_index": 969, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# #B B# A# #A #A #B B#\n\nReturn the final state of the program.\n", "answer": "#A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 970, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #A B# A# #B A# #B B# #A A#\n\nReturn the final state of the program.\n", "answer": "#B #A #B A# B# A#", "metadata": {"source_dataset": "ab", "source_index": 971, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# B# #A A# #B #B B# #B #B #A\n\nReturn the final state of the program.\n", "answer": "#B #B", "metadata": {"source_dataset": "ab", "source_index": 972, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #B #B #A #B #A #B A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 973, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A #B #A B# A# #A #B A# #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B #B A#", "metadata": {"source_dataset": "ab", "source_index": 974, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# A# #A #A A# #A #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A B# A#", "metadata": {"source_dataset": "ab", "source_index": 975, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B A# B# #A B# B# #B B# A#\n\nReturn the final state of the program.\n", "answer": "#B #B B# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 976, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A B# A# B# #B B# #A #B #B\n\nReturn the final state of the program.\n", "answer": "", "metadata": {"source_dataset": "ab", "source_index": 977, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #B #B B# #A B# #A #A #B\n\nReturn the final state of the program.\n", "answer": "#B #B #A B#", "metadata": {"source_dataset": "ab", "source_index": 978, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# #A #B #B #B #A A# A# #B\n\nReturn the final state of the program.\n", "answer": "#A #B #A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 979, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #B #A A# #B A# #A B# #B A#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 980, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #B B# #B #A A# #B #A #A\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #B #A", "metadata": {"source_dataset": "ab", "source_index": 981, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B #A A# #B #A #A #B A#\n\nReturn the final state of the program.\n", "answer": "#B #B #B #A #B A#", "metadata": {"source_dataset": "ab", "source_index": 982, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# A# A# B# #A B# B# #B #A #B\n\nReturn the final state of the program.\n", "answer": "B# B#", "metadata": {"source_dataset": "ab", "source_index": 983, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #A #B #A B# #B #B #A A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #B #A A#", "metadata": {"source_dataset": "ab", "source_index": 984, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# #B B# A# #B A# A# #A\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# A#", "metadata": {"source_dataset": "ab", "source_index": 985, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B #A B# #B #A #B B# A# A#\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A #B B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 986, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# #B #A #B #A A# #A #A #A\n\nReturn the final state of the program.\n", "answer": "#A #A #B #A #A #A", "metadata": {"source_dataset": "ab", "source_index": 987, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B B# B# #B #B A# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 988, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A #A A# #A #A #B #B #B\n\nReturn the final state of the program.\n", "answer": "#A #B #B #B", "metadata": {"source_dataset": "ab", "source_index": 989, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B #B B# #A B# #B #A B# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B #A #A B# B#", "metadata": {"source_dataset": "ab", "source_index": 990, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# #A #B A# A# B# A# #B #B B#\n\nReturn the final state of the program.\n", "answer": "#A #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 991, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# A# A# #B A# B# #B B# B#\n\nReturn the final state of the program.\n", "answer": "#B A# A# A# A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 992, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #A B# A# A# #B A# B# #A\n\nReturn the final state of the program.\n", "answer": "#B #A B# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 993, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B A# A# A# A# #A #B B# A# #A\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# A# B#", "metadata": {"source_dataset": "ab", "source_index": 994, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #B #B A# A# A# #A #A B# B#\n\nReturn the final state of the program.\n", "answer": "#B #B A# A# B# B#", "metadata": {"source_dataset": "ab", "source_index": 995, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# A# #A B# A# #A #B A# #B #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# A#", "metadata": {"source_dataset": "ab", "source_index": 996, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# A# A# B# #B A# B# B# A#\n\nReturn the final state of the program.\n", "answer": "B# B# A# A# A# B# B# A#", "metadata": {"source_dataset": "ab", "source_index": 997, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#A B# B# #A #A A# #A #A #A B#\n\nReturn the final state of the program.\n", "answer": "#A #A #A #A #A B# B# B#", "metadata": {"source_dataset": "ab", "source_index": 998, "difficulty": {"length": 10}}}
{"question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n    B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n    A# #A ... becomes ... nothing\n    A# #B ... becomes ... #B A#\n    B# #A ... becomes ... #A B#\n    B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\n#B B# #B #B A# B# A# B# A# #B\n\nReturn the final state of the program.\n", "answer": "#B #B A# B# A# A#", "metadata": {"source_dataset": "ab", "source_index": 999, "difficulty": {"length": 10}}}