{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "N", "B": "S", "C": "T", "D": "K"}, "depth": 1, "id": "test_d01_00000", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "C", "C": "D", "D": "R", "E": "I", "F": "X", "G": "T", "H": "M", "I": "W", "J": "M", "K": "R", "L": "V", "M": "P", "N": "R", "O": "P", "P": "H", "Q": "F", "R": "B", "S": "K", "T": "R", "U": "C", "V": "T", "W": "F", "X": "U"}, "n_symbols": 24, "orbit": ["V", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> R\nS -> K\nN -> R\nP -> H\nI -> W\nH -> M\nQ -> F\nA -> E\nJ -> M\nU -> C\nF -> X\nE -> I\nD -> R\nR -> B\nL -> V\nV -> T\nC -> D\nO -> P\nT -> R\nB -> C\nM -> P\nG -> T\nX -> U\nW -> F\n\nStart value: V\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "T", "B": "N", "C": "B", "D": "R"}, "depth": 1, "id": "test_d01_00001", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "V", "C": "I", "D": "T", "E": "M", "F": "B", "G": "N", "H": "J", "I": "J", "J": "G", "K": "K", "L": "E", "M": "G", "N": "P", "O": "A", "P": "N", "Q": "Q", "R": "X", "S": "T", "T": "J", "U": "B", "V": "T", "W": "C", "X": "D"}, "n_symbols": 24, "orbit": ["U", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> J\nN -> P\nR -> X\nD -> T\nM -> G\nC -> I\nU -> B\nJ -> G\nI -> J\nL -> E\nE -> M\nP -> N\nO -> A\nX -> D\nV -> T\nA -> T\nG -> N\nB -> V\nW -> C\nF -> B\nK -> K\nH -> J\nS -> T\nQ -> Q\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "B"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "I", "B": "M", "C": "F", "D": "T"}, "depth": 1, "id": "test_d01_00002", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "W", "C": "Q", "D": "F", "E": "R", "F": "M", "G": "F", "H": "K", "I": "S", "J": "J", "K": "P", "L": "K", "M": "A", "N": "R", "O": "A", "P": "S", "Q": "G", "R": "C", "S": "O", "T": "V", "U": "X", "V": "D", "W": "G", "X": "M"}, "n_symbols": 24, "orbit": ["G", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> S\nM -> A\nT -> V\nV -> D\nB -> W\nN -> R\nJ -> J\nS -> O\nO -> A\nR -> C\nE -> R\nA -> D\nH -> K\nC -> Q\nU -> X\nD -> F\nL -> K\nQ -> G\nG -> F\nW -> G\nK -> P\nF -> M\nP -> S\nX -> M\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "F"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "H", "B": "K", "C": "M", "D": "N"}, "depth": 1, "id": "test_d01_00003", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "K", "C": "N", "D": "P", "E": "M", "F": "O", "G": "P", "H": "D", "I": "H", "J": "E", "K": "I", "L": "Q", "M": "C", "N": "U", "O": "G", "P": "S", "Q": "O", "R": "K", "S": "E", "T": "N", "U": "M", "V": "I", "W": "U", "X": "B"}, "n_symbols": 24, "orbit": ["E", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> D\nN -> U\nK -> I\nE -> M\nT -> N\nD -> P\nQ -> O\nF -> O\nU -> M\nC -> N\nM -> C\nO -> G\nB -> K\nJ -> E\nA -> P\nI -> H\nX -> B\nV -> I\nP -> S\nW -> U\nS -> E\nL -> Q\nR -> K\nG -> P\n\nStart value: E\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "H", "B": "V", "C": "S", "D": "G"}, "depth": 1, "id": "test_d01_00004", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "X", "C": "C", "D": "K", "E": "J", "F": "R", "G": "H", "H": "E", "I": "L", "J": "U", "K": "U", "L": "D", "M": "L", "N": "E", "O": "U", "P": "S", "Q": "N", "R": "Q", "S": "H", "T": "I", "U": "J", "V": "G", "W": "B", "X": "N"}, "n_symbols": 24, "orbit": ["P", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> G\nG -> H\nH -> E\nA -> C\nP -> S\nD -> K\nQ -> N\nX -> N\nC -> C\nO -> U\nE -> J\nI -> L\nU -> J\nR -> Q\nN -> E\nT -> I\nB -> X\nM -> L\nW -> B\nS -> H\nL -> D\nF -> R\nJ -> U\nK -> U\n\nStart value: P\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "S"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "P", "B": "T", "C": "O", "D": "D"}, "depth": 1, "id": "test_d01_00005", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "G", "C": "V", "D": "L", "E": "V", "F": "D", "G": "R", "H": "B", "I": "G", "J": "T", "K": "X", "L": "X", "M": "K", "N": "S", "O": "S", "P": "E", "Q": "Q", "R": "I", "S": "O", "T": "L", "U": "U", "V": "D", "W": "J", "X": "Q"}, "n_symbols": 24, "orbit": ["V", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> E\nO -> S\nT -> L\nJ -> T\nI -> G\nL -> X\nC -> V\nE -> V\nD -> L\nB -> G\nV -> D\nR -> I\nG -> R\nF -> D\nS -> O\nA -> L\nX -> Q\nW -> J\nQ -> Q\nM -> K\nK -> X\nH -> B\nU -> U\nN -> S\n\nStart value: V\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "D"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "P", "B": "H", "C": "X", "D": "N"}, "depth": 1, "id": "test_d01_00006", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "J", "C": "V", "D": "I", "E": "J", "F": "A", "G": "J", "H": "M", "I": "Q", "J": "U", "K": "K", "L": "K", "M": "G", "N": "L", "O": "G", "P": "G", "Q": "F", "R": "B", "S": "I", "T": "F", "U": "H", "V": "C", "W": "L", "X": "G"}, "n_symbols": 24, "orbit": ["U", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> G\nX -> G\nH -> M\nN -> L\nE -> J\nT -> F\nW -> L\nS -> I\nA -> O\nQ -> F\nU -> H\nK -> K\nG -> J\nD -> I\nC -> V\nB -> J\nO -> G\nV -> C\nJ -> U\nF -> A\nM -> G\nL -> K\nI -> Q\nR -> B\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "H"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "G", "B": "H", "C": "I", "D": "E"}, "depth": 1, "id": "test_d01_00007", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "D", "C": "H", "D": "J", "E": "R", "F": "C", "G": "E", "H": "A", "I": "S", "J": "I", "K": "L", "L": "U", "M": "H", "N": "X", "O": "O", "P": "H", "Q": "I", "R": "I", "S": "C", "T": "H", "U": "E", "V": "K", "W": "A", "X": "S"}, "n_symbols": 24, "orbit": ["Q", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> R\nG -> E\nH -> A\nD -> J\nU -> E\nC -> H\nB -> D\nN -> X\nJ -> I\nR -> I\nF -> C\nK -> L\nT -> H\nV -> K\nX -> S\nA -> V\nI -> S\nP -> H\nL -> U\nW -> A\nO -> O\nQ -> I\nS -> C\nM -> H\n\nStart value: Q\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "I"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "I", "B": "D", "C": "V", "D": "B"}, "depth": 1, "id": "test_d01_00008", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "M", "C": "D", "D": "V", "E": "G", "F": "M", "G": "K", "H": "P", "I": "R", "J": "C", "K": "D", "L": "H", "M": "K", "N": "B", "O": "M", "P": "R", "Q": "X", "R": "J", "S": "X", "T": "D", "U": "U", "V": "O", "W": "S", "X": "B"}, "n_symbols": 24, "orbit": ["K", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> O\nB -> M\nI -> R\nF -> M\nC -> D\nX -> B\nH -> P\nK -> D\nO -> M\nN -> B\nS -> X\nL -> H\nG -> K\nP -> R\nU -> U\nE -> G\nQ -> X\nJ -> C\nA -> J\nM -> K\nD -> V\nW -> S\nR -> J\nT -> D\n\nStart value: K\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "D"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "P", "B": "L", "C": "Q", "D": "I"}, "depth": 1, "id": "test_d01_00009", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "O", "C": "U", "D": "G", "E": "O", "F": "R", "G": "Q", "H": "P", "I": "B", "J": "N", "K": "X", "L": "A", "M": "M", "N": "F", "O": "W", "P": "D", "Q": "L", "R": "O", "S": "A", "T": "I", "U": "A", "V": "G", "W": "M", "X": "K"}, "n_symbols": 24, "orbit": ["G", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> D\nI -> B\nL -> A\nO -> W\nC -> U\nW -> M\nB -> O\nR -> O\nV -> G\nJ -> N\nF -> R\nN -> F\nH -> P\nM -> M\nU -> A\nS -> A\nD -> G\nE -> O\nQ -> L\nT -> I\nG -> Q\nA -> R\nK -> X\nX -> K\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "A", "B": "E", "C": "R", "D": "F"}, "depth": 1, "id": "test_d01_00010", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "G", "C": "U", "D": "F", "E": "J", "F": "Q", "G": "L", "H": "P", "I": "M", "J": "B", "K": "R", "L": "V", "M": "P", "N": "K", "O": "J", "P": "L", "Q": "V", "R": "L", "S": "C", "T": "I", "U": "M", "V": "R", "W": "U", "X": "L"}, "n_symbols": 24, "orbit": ["D", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> C\nR -> L\nF -> Q\nE -> J\nS -> C\nI -> M\nX -> L\nM -> P\nD -> F\nJ -> B\nO -> J\nV -> R\nQ -> V\nN -> K\nP -> L\nH -> P\nU -> M\nB -> G\nK -> R\nW -> U\nT -> I\nC -> U\nG -> L\nL -> V\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "F"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "N", "B": "P", "C": "E", "D": "S"}, "depth": 1, "id": "test_d01_00011", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "Q", "C": "E", "D": "A", "E": "P", "F": "P", "G": "S", "H": "V", "I": "W", "J": "D", "K": "N", "L": "H", "M": "V", "N": "T", "O": "C", "P": "U", "Q": "S", "R": "B", "S": "O", "T": "G", "U": "E", "V": "I", "W": "P", "X": "T"}, "n_symbols": 24, "orbit": ["C", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> U\nN -> T\nS -> O\nV -> I\nR -> B\nA -> Q\nQ -> S\nW -> P\nC -> E\nI -> W\nD -> A\nK -> N\nL -> H\nT -> G\nX -> T\nG -> S\nJ -> D\nH -> V\nO -> C\nM -> V\nB -> Q\nE -> P\nU -> E\nF -> P\n\nStart value: C\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "R", "B": "G", "C": "I", "D": "S"}, "depth": 1, "id": "test_d01_00012", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "M", "C": "L", "D": "D", "E": "L", "F": "T", "G": "A", "H": "L", "I": "G", "J": "O", "K": "I", "L": "N", "M": "D", "N": "G", "O": "H", "P": "X", "Q": "A", "R": "A", "S": "W", "T": "H", "U": "B", "V": "N", "W": "D", "X": "D"}, "n_symbols": 24, "orbit": ["I", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> G\nS -> W\nR -> A\nF -> T\nB -> M\nP -> X\nJ -> O\nN -> G\nW -> D\nL -> N\nH -> L\nD -> D\nG -> A\nT -> H\nQ -> A\nX -> D\nU -> B\nC -> L\nE -> L\nV -> N\nM -> D\nA -> F\nK -> I\nO -> H\n\nStart value: I\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "G"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "O", "B": "F", "C": "A", "D": "W"}, "depth": 1, "id": "test_d01_00013", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "W", "C": "V", "D": "I", "E": "I", "F": "B", "G": "R", "H": "I", "I": "S", "J": "X", "K": "E", "L": "T", "M": "F", "N": "M", "O": "L", "P": "F", "Q": "X", "R": "X", "S": "T", "T": "A", "U": "J", "V": "Q", "W": "O", "X": "N"}, "n_symbols": 24, "orbit": ["M", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> C\nO -> L\nW -> O\nQ -> X\nI -> S\nS -> T\nD -> I\nK -> E\nB -> W\nT -> A\nF -> B\nJ -> X\nN -> M\nV -> Q\nC -> V\nU -> J\nG -> R\nM -> F\nR -> X\nP -> F\nE -> I\nH -> I\nL -> T\nX -> N\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "F"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "V", "B": "J", "C": "X", "D": "R"}, "depth": 1, "id": "test_d01_00014", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "M", "C": "F", "D": "N", "E": "J", "F": "U", "G": "J", "H": "B", "I": "X", "J": "V", "K": "L", "L": "O", "M": "K", "N": "K", "O": "D", "P": "L", "Q": "A", "R": "H", "S": "O", "T": "C", "U": "A", "V": "R", "W": "R", "X": "P"}, "n_symbols": 24, "orbit": ["G", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> R\nR -> H\nX -> P\nT -> C\nS -> O\nL -> O\nE -> J\nO -> D\nD -> N\nH -> B\nK -> L\nW -> R\nQ -> A\nN -> K\nJ -> V\nM -> K\nG -> J\nI -> X\nF -> U\nP -> L\nB -> M\nU -> A\nC -> F\nA -> F\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "J"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "X", "B": "H", "C": "V", "D": "U"}, "depth": 1, "id": "test_d01_00015", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "H", "C": "D", "D": "T", "E": "F", "F": "G", "G": "P", "H": "W", "I": "T", "J": "M", "K": "G", "L": "X", "M": "E", "N": "X", "O": "T", "P": "J", "Q": "I", "R": "P", "S": "T", "T": "I", "U": "O", "V": "L", "W": "C", "X": "E"}, "n_symbols": 24, "orbit": ["N", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> O\nV -> L\nH -> W\nR -> P\nK -> G\nC -> D\nQ -> I\nT -> I\nS -> T\nP -> J\nD -> T\nA -> W\nL -> X\nF -> G\nI -> T\nN -> X\nM -> E\nE -> F\nX -> E\nO -> T\nJ -> M\nB -> H\nG -> P\nW -> C\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "N", "B": "A", "C": "D", "D": "U"}, "depth": 1, "id": "test_d01_00016", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "A", "C": "R", "D": "D", "E": "I", "F": "H", "G": "C", "H": "E", "I": "J", "J": "K", "K": "R", "L": "P", "M": "G", "N": "E", "O": "D", "P": "K", "Q": "C", "R": "A", "S": "X", "T": "C", "U": "X", "V": "F", "W": "C", "X": "N"}, "n_symbols": 24, "orbit": ["O", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> E\nA -> P\nU -> X\nR -> A\nK -> R\nC -> R\nG -> C\nQ -> C\nS -> X\nE -> I\nL -> P\nX -> N\nW -> C\nD -> D\nO -> D\nH -> E\nB -> A\nI -> J\nT -> C\nF -> H\nP -> K\nJ -> K\nV -> F\nM -> G\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "D"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "D", "B": "G", "C": "W", "D": "M"}, "depth": 1, "id": "test_d01_00017", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "K", "C": "C", "D": "R", "E": "H", "F": "M", "G": "H", "H": "J", "I": "M", "J": "J", "K": "I", "L": "T", "M": "K", "N": "T", "O": "J", "P": "J", "Q": "T", "R": "B", "S": "C", "T": "B", "U": "V", "V": "W", "W": "E", "X": "E"}, "n_symbols": 24, "orbit": ["I", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> R\nW -> E\nG -> H\nQ -> T\nE -> H\nV -> W\nC -> C\nO -> J\nJ -> J\nX -> E\nH -> J\nL -> T\nU -> V\nI -> M\nR -> B\nB -> K\nT -> B\nN -> T\nP -> J\nS -> C\nA -> L\nF -> M\nK -> I\nM -> K\n\nStart value: I\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "M"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "B", "B": "D", "C": "U", "D": "E"}, "depth": 1, "id": "test_d01_00018", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "B", "C": "L", "D": "O", "E": "Q", "F": "N", "G": "V", "H": "W", "I": "N", "J": "N", "K": "D", "L": "X", "M": "X", "N": "G", "O": "K", "P": "B", "Q": "U", "R": "L", "S": "G", "T": "K", "U": "H", "V": "B", "W": "S", "X": "L"}, "n_symbols": 24, "orbit": ["P", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> H\nD -> O\nE -> Q\nS -> G\nX -> L\nJ -> N\nR -> L\nK -> D\nO -> K\nG -> V\nA -> S\nC -> L\nV -> B\nL -> X\nN -> G\nI -> N\nW -> S\nT -> K\nP -> B\nF -> N\nQ -> U\nB -> B\nM -> X\nH -> W\n\nStart value: P\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "B"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "F", "B": "C", "C": "B", "D": "S"}, "depth": 1, "id": "test_d01_00019", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "Q", "C": "E", "D": "O", "E": "Q", "F": "J", "G": "J", "H": "D", "I": "H", "J": "S", "K": "T", "L": "I", "M": "B", "N": "V", "O": "H", "P": "T", "Q": "A", "R": "C", "S": "X", "T": "V", "U": "H", "V": "U", "W": "W", "X": "I"}, "n_symbols": 24, "orbit": ["J", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> E\nF -> J\nB -> Q\nI -> H\nK -> T\nG -> J\nS -> X\nA -> F\nX -> I\nQ -> A\nM -> B\nR -> C\nJ -> S\nW -> W\nV -> U\nD -> O\nO -> H\nP -> T\nH -> D\nL -> I\nE -> Q\nU -> H\nN -> V\nT -> V\n\nStart value: J\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "S"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "M", "B": "W", "C": "G", "D": "A"}, "depth": 1, "id": "test_d01_00020", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "S", "C": "V", "D": "F", "E": "C", "F": "A", "G": "D", "H": "L", "I": "B", "J": "L", "K": "F", "L": "N", "M": "S", "N": "I", "O": "W", "P": "S", "Q": "F", "R": "K", "S": "P", "T": "W", "U": "X", "V": "D", "W": "D", "X": "F"}, "n_symbols": 24, "orbit": ["O", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> N\nM -> S\nG -> D\nI -> B\nN -> I\nP -> S\nV -> D\nD -> F\nR -> K\nQ -> F\nK -> F\nO -> W\nJ -> L\nF -> A\nC -> V\nB -> S\nL -> N\nE -> C\nT -> W\nS -> P\nU -> X\nW -> D\nH -> L\nX -> F\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "U", "B": "P", "C": "Q", "D": "O"}, "depth": 1, "id": "test_d01_00021", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "M", "C": "H", "D": "Q", "E": "U", "F": "S", "G": "P", "H": "X", "I": "K", "J": "K", "K": "S", "L": "E", "M": "B", "N": "A", "O": "G", "P": "D", "Q": "S", "R": "I", "S": "O", "T": "M", "U": "M", "V": "L", "W": "B", "X": "O"}, "n_symbols": 24, "orbit": ["S", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> M\nP -> D\nQ -> S\nR -> I\nI -> K\nV -> L\nW -> B\nM -> B\nJ -> K\nA -> L\nN -> A\nB -> M\nK -> S\nO -> G\nC -> H\nE -> U\nG -> P\nL -> E\nT -> M\nD -> Q\nH -> X\nX -> O\nF -> S\nS -> O\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "O"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "L", "B": "D", "C": "W", "D": "Q"}, "depth": 1, "id": "test_d01_00022", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "R", "C": "K", "D": "U", "E": "J", "F": "S", "G": "E", "H": "F", "I": "E", "J": "G", "K": "V", "L": "W", "M": "U", "N": "G", "O": "U", "P": "B", "Q": "H", "R": "W", "S": "Q", "T": "F", "U": "N", "V": "Q", "W": "V", "X": "V"}, "n_symbols": 24, "orbit": ["S", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> V\nL -> W\nD -> U\nB -> R\nG -> E\nN -> G\nE -> J\nH -> F\nS -> Q\nQ -> H\nV -> Q\nR -> W\nM -> U\nA -> B\nC -> K\nP -> B\nO -> U\nF -> S\nX -> V\nT -> F\nJ -> G\nI -> E\nK -> V\nU -> N\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "Q"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "G", "B": "F", "C": "A", "D": "D"}, "depth": 1, "id": "test_d01_00023", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "C", "C": "D", "D": "D", "E": "R", "F": "B", "G": "J", "H": "N", "I": "J", "J": "A", "K": "V", "L": "H", "M": "K", "N": "A", "O": "B", "P": "F", "Q": "P", "R": "L", "S": "B", "T": "V", "U": "C", "V": "E", "W": "R", "X": "C"}, "n_symbols": 24, "orbit": ["P", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> J\nA -> A\nD -> D\nO -> B\nQ -> P\nX -> C\nS -> B\nV -> E\nH -> N\nP -> F\nK -> V\nM -> K\nW -> R\nL -> H\nE -> R\nJ -> A\nF -> B\nB -> C\nT -> V\nU -> C\nI -> J\nN -> A\nR -> L\nC -> D\n\nStart value: P\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "F"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "F", "B": "V", "C": "Q", "D": "U"}, "depth": 1, "id": "test_d01_00024", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "F", "C": "U", "D": "F", "E": "T", "F": "V", "G": "H", "H": "P", "I": "P", "J": "C", "K": "I", "L": "V", "M": "E", "N": "P", "O": "N", "P": "I", "Q": "G", "R": "T", "S": "B", "T": "S", "U": "D", "V": "E", "W": "O", "X": "F"}, "n_symbols": 24, "orbit": ["C", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> G\nF -> V\nV -> E\nE -> T\nI -> P\nA -> I\nL -> V\nM -> E\nK -> I\nN -> P\nU -> D\nR -> T\nX -> F\nS -> B\nW -> O\nG -> H\nH -> P\nC -> U\nB -> F\nJ -> C\nP -> I\nD -> F\nO -> N\nT -> S\n\nStart value: C\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "Q", "B": "P", "C": "V", "D": "G"}, "depth": 1, "id": "test_d01_00025", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "T", "C": "D", "D": "W", "E": "K", "F": "F", "G": "N", "H": "P", "I": "A", "J": "V", "K": "M", "L": "B", "M": "T", "N": "K", "O": "N", "P": "D", "Q": "G", "R": "G", "S": "X", "T": "I", "U": "W", "V": "V", "W": "D", "X": "F"}, "n_symbols": 24, "orbit": ["R", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> D\nQ -> G\nV -> V\nL -> B\nM -> T\nS -> X\nD -> W\nO -> N\nR -> G\nW -> D\nX -> F\nT -> I\nE -> K\nI -> A\nH -> P\nU -> W\nA -> W\nB -> T\nJ -> V\nN -> K\nG -> N\nC -> D\nK -> M\nF -> F\n\nStart value: R\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "G"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "X", "B": "P", "C": "V", "D": "C"}, "depth": 1, "id": "test_d01_00026", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "P", "C": "D", "D": "D", "E": "C", "F": "K", "G": "F", "H": "M", "I": "P", "J": "M", "K": "S", "L": "G", "M": "H", "N": "C", "O": "B", "P": "N", "Q": "W", "R": "Q", "S": "A", "T": "U", "U": "R", "V": "R", "W": "O", "X": "B"}, "n_symbols": 24, "orbit": ["N", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> R\nX -> B\nP -> N\nC -> D\nG -> F\nW -> O\nJ -> M\nA -> A\nU -> R\nI -> P\nR -> Q\nE -> C\nH -> M\nF -> K\nQ -> W\nO -> B\nS -> A\nD -> D\nL -> G\nB -> P\nM -> H\nN -> C\nK -> S\nT -> U\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "C"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "O", "B": "P", "C": "N", "D": "B"}, "depth": 1, "id": "test_d01_00027", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "V", "C": "N", "D": "B", "E": "Q", "F": "L", "G": "Q", "H": "L", "I": "T", "J": "E", "K": "O", "L": "L", "M": "H", "N": "H", "O": "D", "P": "I", "Q": "G", "R": "U", "S": "P", "T": "C", "U": "K", "V": "D", "W": "K", "X": "B"}, "n_symbols": 24, "orbit": ["D", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> H\nB -> V\nO -> D\nP -> I\nE -> Q\nU -> K\nX -> B\nS -> P\nJ -> E\nV -> D\nF -> L\nM -> H\nA -> J\nK -> O\nI -> T\nD -> B\nC -> N\nR -> U\nG -> Q\nT -> C\nH -> L\nW -> K\nL -> L\nQ -> G\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "B"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "U", "B": "B", "C": "C", "D": "M"}, "depth": 1, "id": "test_d01_00028", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "Q", "C": "M", "D": "P", "E": "U", "F": "J", "G": "A", "H": "V", "I": "U", "J": "Q", "K": "H", "L": "J", "M": "D", "N": "M", "O": "X", "P": "O", "Q": "T", "R": "D", "S": "P", "T": "W", "U": "M", "V": "D", "W": "V", "X": "I"}, "n_symbols": 24, "orbit": ["U", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> Q\nU -> M\nC -> M\nH -> V\nR -> D\nO -> X\nN -> M\nV -> D\nQ -> T\nA -> W\nW -> V\nE -> U\nS -> P\nD -> P\nG -> A\nF -> J\nI -> U\nT -> W\nP -> O\nK -> H\nX -> I\nM -> D\nL -> J\nJ -> Q\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "F", "B": "W", "C": "M", "D": "G"}, "depth": 1, "id": "test_d01_00029", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "R", "C": "V", "D": "I", "E": "D", "F": "L", "G": "X", "H": "O", "I": "C", "J": "U", "K": "M", "L": "T", "M": "C", "N": "E", "O": "B", "P": "G", "Q": "B", "R": "T", "S": "D", "T": "I", "U": "O", "V": "F", "W": "U", "X": "W"}, "n_symbols": 24, "orbit": ["K", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> U\nG -> X\nF -> L\nT -> I\nL -> T\nK -> M\nU -> O\nM -> C\nN -> E\nR -> T\nE -> D\nA -> O\nV -> F\nS -> D\nH -> O\nQ -> B\nX -> W\nI -> C\nP -> G\nC -> V\nD -> I\nB -> R\nO -> B\nJ -> U\n\nStart value: K\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "H", "B": "R", "C": "M", "D": "E"}, "depth": 1, "id": "test_d01_00030", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "X", "C": "X", "D": "V", "E": "I", "F": "E", "G": "Q", "H": "V", "I": "B", "J": "X", "K": "T", "L": "I", "M": "F", "N": "H", "O": "T", "P": "F", "Q": "M", "R": "S", "S": "R", "T": "F", "U": "I", "V": "G", "W": "O", "X": "R"}, "n_symbols": 24, "orbit": ["S", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> S\nM -> F\nH -> V\nE -> I\nO -> T\nA -> R\nF -> E\nC -> X\nD -> V\nW -> O\nT -> F\nL -> I\nU -> I\nI -> B\nK -> T\nG -> Q\nP -> F\nQ -> M\nS -> R\nJ -> X\nN -> H\nB -> X\nV -> G\nX -> R\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "R"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "L", "B": "U", "C": "D", "D": "M"}, "depth": 1, "id": "test_d01_00031", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "A", "C": "Q", "D": "C", "E": "S", "F": "Q", "G": "B", "H": "L", "I": "T", "J": "G", "K": "X", "L": "Q", "M": "K", "N": "H", "O": "W", "P": "J", "Q": "U", "R": "S", "S": "G", "T": "B", "U": "W", "V": "L", "W": "L", "X": "R"}, "n_symbols": 24, "orbit": ["W", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> C\nM -> K\nU -> W\nX -> R\nT -> B\nG -> B\nV -> L\nE -> S\nR -> S\nI -> T\nJ -> G\nA -> N\nW -> L\nN -> H\nF -> Q\nQ -> U\nK -> X\nC -> Q\nH -> L\nB -> A\nS -> G\nP -> J\nL -> Q\nO -> W\n\nStart value: W\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "X", "B": "U", "C": "K", "D": "V"}, "depth": 1, "id": "test_d01_00032", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "M", "C": "M", "D": "I", "E": "P", "F": "J", "G": "V", "H": "K", "I": "B", "J": "P", "K": "O", "L": "V", "M": "W", "N": "T", "O": "N", "P": "O", "Q": "U", "R": "G", "S": "W", "T": "E", "U": "O", "V": "A", "W": "M", "X": "A"}, "n_symbols": 24, "orbit": ["Q", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> A\nK -> O\nV -> A\nJ -> P\nT -> E\nS -> W\nU -> O\nN -> T\nC -> M\nL -> V\nH -> K\nA -> F\nP -> O\nQ -> U\nW -> M\nM -> W\nO -> N\nR -> G\nE -> P\nG -> V\nF -> J\nI -> B\nD -> I\nB -> M\n\nStart value: Q\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "U"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "D", "B": "L", "C": "Q", "D": "E"}, "depth": 1, "id": "test_d01_00033", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "L", "C": "P", "D": "M", "E": "H", "F": "R", "G": "J", "H": "W", "I": "I", "J": "T", "K": "H", "L": "S", "M": "K", "N": "F", "O": "N", "P": "L", "Q": "S", "R": "E", "S": "C", "T": "Q", "U": "F", "V": "P", "W": "L", "X": "G"}, "n_symbols": 24, "orbit": ["P", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> S\nD -> M\nE -> H\nB -> L\nK -> H\nP -> L\nG -> J\nA -> P\nR -> E\nS -> C\nU -> F\nF -> R\nI -> I\nN -> F\nX -> G\nC -> P\nV -> P\nT -> Q\nM -> K\nH -> W\nJ -> T\nL -> S\nW -> L\nO -> N\n\nStart value: P\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "L"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "S", "B": "X", "C": "T", "D": "F"}, "depth": 1, "id": "test_d01_00034", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "S", "C": "X", "D": "C", "E": "T", "F": "L", "G": "L", "H": "X", "I": "C", "J": "L", "K": "I", "L": "E", "M": "V", "N": "B", "O": "A", "P": "U", "Q": "C", "R": "M", "S": "W", "T": "J", "U": "S", "V": "W", "W": "A", "X": "T"}, "n_symbols": 24, "orbit": ["E", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> T\nS -> W\nF -> L\nQ -> C\nP -> U\nR -> M\nD -> C\nL -> E\nJ -> L\nH -> X\nB -> S\nW -> A\nI -> C\nK -> I\nA -> M\nN -> B\nT -> J\nU -> S\nO -> A\nV -> W\nC -> X\nE -> T\nG -> L\nM -> V\n\nStart value: E\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "T"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "J", "B": "R", "C": "G", "D": "A"}, "depth": 1, "id": "test_d01_00035", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "G", "C": "D", "D": "E", "E": "W", "F": "U", "G": "V", "H": "S", "I": "M", "J": "A", "K": "P", "L": "N", "M": "F", "N": "H", "O": "W", "P": "D", "Q": "D", "R": "U", "S": "R", "T": "B", "U": "M", "V": "O", "W": "U", "X": "F"}, "n_symbols": 24, "orbit": ["S", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> U\nA -> P\nG -> V\nJ -> A\nD -> E\nK -> P\nQ -> D\nF -> U\nV -> O\nC -> D\nP -> D\nB -> G\nW -> U\nM -> F\nS -> R\nX -> F\nN -> H\nL -> N\nH -> S\nI -> M\nO -> W\nE -> W\nT -> B\nU -> M\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "R"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "O", "B": "U", "C": "V", "D": "F"}, "depth": 1, "id": "test_d01_00036", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "P", "C": "X", "D": "E", "E": "B", "F": "Q", "G": "J", "H": "D", "I": "Q", "J": "V", "K": "K", "L": "F", "M": "J", "N": "V", "O": "F", "P": "M", "Q": "C", "R": "W", "S": "T", "T": "X", "U": "X", "V": "I", "W": "O", "X": "A"}, "n_symbols": 24, "orbit": ["N", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> X\nO -> F\nF -> Q\nM -> J\nI -> Q\nR -> W\nN -> V\nG -> J\nE -> B\nP -> M\nS -> T\nA -> H\nB -> P\nL -> F\nK -> K\nH -> D\nT -> X\nQ -> C\nJ -> V\nX -> A\nW -> O\nV -> I\nC -> X\nD -> E\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "V"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "E", "B": "I", "C": "D", "D": "L"}, "depth": 1, "id": "test_d01_00037", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "D", "C": "L", "D": "H", "E": "U", "F": "E", "G": "P", "H": "X", "I": "D", "J": "T", "K": "E", "L": "B", "M": "L", "N": "V", "O": "N", "P": "V", "Q": "E", "R": "F", "S": "S", "T": "D", "U": "X", "V": "W", "W": "B", "X": "T"}, "n_symbols": 24, "orbit": ["F", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> B\nD -> H\nI -> D\nG -> P\nN -> V\nH -> X\nM -> L\nT -> D\nX -> T\nK -> E\nU -> X\nW -> B\nA -> D\nS -> S\nC -> L\nE -> U\nB -> D\nO -> N\nF -> E\nQ -> E\nV -> W\nP -> V\nJ -> T\nR -> F\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "I", "B": "D", "C": "U", "D": "E"}, "depth": 1, "id": "test_d01_00038", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "H", "C": "N", "D": "T", "E": "S", "F": "S", "G": "W", "H": "M", "I": "F", "J": "T", "K": "E", "L": "X", "M": "V", "N": "M", "O": "T", "P": "L", "Q": "C", "R": "J", "S": "E", "T": "X", "U": "D", "V": "H", "W": "U", "X": "D"}, "n_symbols": 24, "orbit": ["X", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> F\nE -> S\nU -> D\nD -> T\nW -> U\nA -> G\nN -> M\nK -> E\nQ -> C\nO -> T\nG -> W\nL -> X\nM -> V\nC -> N\nP -> L\nS -> E\nV -> H\nT -> X\nX -> D\nJ -> T\nR -> J\nB -> H\nH -> M\nF -> S\n\nStart value: X\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "D"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "K", "B": "U", "C": "S", "D": "C"}, "depth": 1, "id": "test_d01_00039", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "H", "C": "X", "D": "H", "E": "U", "F": "F", "G": "T", "H": "D", "I": "M", "J": "V", "K": "O", "L": "C", "M": "J", "N": "G", "O": "U", "P": "O", "Q": "E", "R": "J", "S": "X", "T": "C", "U": "M", "V": "C", "W": "G", "X": "V"}, "n_symbols": 24, "orbit": ["V", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> O\nS -> X\nU -> M\nG -> T\nH -> D\nO -> U\nR -> J\nX -> V\nE -> U\nT -> C\nN -> G\nV -> C\nC -> X\nI -> M\nD -> H\nJ -> V\nW -> G\nM -> J\nB -> H\nP -> O\nF -> F\nQ -> E\nA -> T\nL -> C\n\nStart value: V\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "E", "B": "Q", "C": "K", "D": "J"}, "depth": 1, "id": "test_d01_00040", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "W", "C": "W", "D": "I", "E": "A", "F": "H", "G": "H", "H": "P", "I": "B", "J": "X", "K": "D", "L": "V", "M": "G", "N": "T", "O": "J", "P": "H", "Q": "J", "R": "Q", "S": "H", "T": "K", "U": "V", "V": "K", "W": "T", "X": "M"}, "n_symbols": 24, "orbit": ["R", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> A\nK -> D\nJ -> X\nQ -> J\nC -> W\nR -> Q\nF -> H\nI -> B\nT -> K\nS -> H\nW -> T\nA -> H\nB -> W\nD -> I\nG -> H\nP -> H\nO -> J\nX -> M\nM -> G\nU -> V\nH -> P\nV -> K\nL -> V\nN -> T\n\nStart value: R\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "Q", "B": "D", "C": "S", "D": "B"}, "depth": 1, "id": "test_d01_00041", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "X", "C": "O", "D": "A", "E": "M", "F": "J", "G": "D", "H": "X", "I": "K", "J": "Q", "K": "I", "L": "H", "M": "T", "N": "J", "O": "H", "P": "U", "Q": "G", "R": "B", "S": "R", "T": "I", "U": "L", "V": "I", "W": "U", "X": "G"}, "n_symbols": 24, "orbit": ["J", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> A\nB -> X\nS -> R\nN -> J\nV -> I\nW -> U\nU -> L\nO -> H\nR -> B\nF -> J\nT -> I\nL -> H\nE -> M\nJ -> Q\nX -> G\nG -> D\nC -> O\nK -> I\nA -> J\nQ -> G\nP -> U\nH -> X\nI -> K\nM -> T\n\nStart value: J\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "V", "B": "X", "C": "G", "D": "J"}, "depth": 1, "id": "test_d01_00042", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "E", "C": "S", "D": "R", "E": "L", "F": "H", "G": "V", "H": "P", "I": "V", "J": "W", "K": "Q", "L": "K", "M": "V", "N": "T", "O": "W", "P": "V", "Q": "X", "R": "T", "S": "O", "T": "D", "U": "B", "V": "C", "W": "O", "X": "O"}, "n_symbols": 24, "orbit": ["P", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> V\nX -> O\nV -> C\nJ -> W\nM -> V\nQ -> X\nB -> E\nU -> B\nD -> R\nF -> H\nC -> S\nE -> L\nW -> O\nH -> P\nT -> D\nS -> O\nK -> Q\nR -> T\nN -> T\nP -> V\nL -> K\nI -> V\nA -> S\nO -> W\n\nStart value: P\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "V"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "M", "B": "N", "C": "V", "D": "G"}, "depth": 1, "id": "test_d01_00043", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "W", "C": "V", "D": "L", "E": "P", "F": "Q", "G": "B", "H": "P", "I": "K", "J": "R", "K": "Q", "L": "P", "M": "J", "N": "F", "O": "M", "P": "P", "Q": "M", "R": "X", "S": "J", "T": "Q", "U": "C", "V": "N", "W": "H", "X": "I"}, "n_symbols": 24, "orbit": ["O", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> B\nV -> N\nN -> F\nD -> L\nR -> X\nA -> M\nX -> I\nJ -> R\nP -> P\nF -> Q\nE -> P\nO -> M\nQ -> M\nI -> K\nW -> H\nU -> C\nH -> P\nS -> J\nL -> P\nT -> Q\nM -> J\nB -> W\nK -> Q\nC -> V\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "M", "B": "P", "C": "X", "D": "E"}, "depth": 1, "id": "test_d01_00044", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "N", "C": "K", "D": "B", "E": "B", "F": "N", "G": "F", "H": "O", "I": "A", "J": "P", "K": "D", "L": "U", "M": "B", "N": "W", "O": "F", "P": "V", "Q": "P", "R": "H", "S": "E", "T": "K", "U": "M", "V": "E", "W": "T", "X": "T"}, "n_symbols": 24, "orbit": ["S", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> B\nP -> V\nX -> T\nJ -> P\nL -> U\nK -> D\nA -> R\nQ -> P\nO -> F\nW -> T\nR -> H\nB -> N\nE -> B\nD -> B\nN -> W\nG -> F\nH -> O\nF -> N\nI -> A\nS -> E\nU -> M\nV -> E\nC -> K\nT -> K\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "J", "B": "C", "C": "A", "D": "I"}, "depth": 1, "id": "test_d01_00045", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "V", "C": "O", "D": "U", "E": "X", "F": "P", "G": "M", "H": "J", "I": "P", "J": "P", "K": "T", "L": "K", "M": "D", "N": "C", "O": "E", "P": "P", "Q": "U", "R": "U", "S": "K", "T": "C", "U": "J", "V": "R", "W": "F", "X": "C"}, "n_symbols": 24, "orbit": ["T", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> O\nJ -> P\nA -> F\nI -> P\nB -> V\nD -> U\nL -> K\nN -> C\nF -> P\nW -> F\nX -> C\nR -> U\nG -> M\nS -> K\nU -> J\nO -> E\nE -> X\nM -> D\nK -> T\nV -> R\nP -> P\nH -> J\nQ -> U\nT -> C\n\nStart value: T\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "O", "B": "D", "C": "X", "D": "I"}, "depth": 1, "id": "test_d01_00046", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "F", "C": "M", "D": "E", "E": "K", "F": "B", "G": "O", "H": "U", "I": "K", "J": "P", "K": "Q", "L": "D", "M": "P", "N": "U", "O": "R", "P": "U", "Q": "N", "R": "P", "S": "L", "T": "O", "U": "D", "V": "L", "W": "D", "X": "C"}, "n_symbols": 24, "orbit": ["U", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> R\nX -> C\nI -> K\nN -> U\nG -> O\nP -> U\nS -> L\nV -> L\nD -> E\nL -> D\nR -> P\nA -> E\nF -> B\nJ -> P\nE -> K\nW -> D\nM -> P\nC -> M\nU -> D\nB -> F\nQ -> N\nK -> Q\nT -> O\nH -> U\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "D"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "X", "B": "E", "C": "N", "D": "W"}, "depth": 1, "id": "test_d01_00047", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "F", "C": "W", "D": "R", "E": "T", "F": "B", "G": "M", "H": "A", "I": "X", "J": "O", "K": "D", "L": "M", "M": "O", "N": "N", "O": "O", "P": "B", "Q": "N", "R": "U", "S": "F", "T": "E", "U": "O", "V": "D", "W": "B", "X": "N"}, "n_symbols": 24, "orbit": ["Q", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> T\nX -> N\nW -> B\nM -> O\nN -> N\nP -> B\nJ -> O\nK -> D\nD -> R\nG -> M\nU -> O\nI -> X\nH -> A\nQ -> N\nV -> D\nT -> E\nC -> W\nB -> F\nL -> M\nO -> O\nR -> U\nF -> B\nS -> F\nA -> G\n\nStart value: Q\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "N"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "J", "B": "B", "C": "L", "D": "G"}, "depth": 1, "id": "test_d01_00048", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "P", "C": "T", "D": "I", "E": "B", "F": "L", "G": "M", "H": "K", "I": "A", "J": "J", "K": "Q", "L": "Q", "M": "T", "N": "O", "O": "V", "P": "B", "Q": "I", "R": "N", "S": "B", "T": "N", "U": "L", "V": "S", "W": "M", "X": "I"}, "n_symbols": 24, "orbit": ["U", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> M\nJ -> J\nB -> P\nV -> S\nT -> N\nI -> A\nO -> V\nC -> T\nL -> Q\nH -> K\nS -> B\nX -> I\nF -> L\nP -> B\nU -> L\nE -> B\nK -> Q\nN -> O\nQ -> I\nW -> M\nD -> I\nM -> T\nR -> N\nA -> F\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "X", "B": "K", "C": "J", "D": "E"}, "depth": 1, "id": "test_d01_00049", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "O", "C": "J", "D": "L", "E": "P", "F": "X", "G": "R", "H": "O", "I": "D", "J": "L", "K": "T", "L": "A", "M": "T", "N": "D", "O": "F", "P": "Q", "Q": "K", "R": "C", "S": "M", "T": "M", "U": "U", "V": "O", "W": "G", "X": "Q"}, "n_symbols": 24, "orbit": ["F", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> T\nJ -> L\nE -> P\nH -> O\nF -> X\nV -> O\nC -> J\nG -> R\nW -> G\nS -> M\nI -> D\nN -> D\nX -> Q\nU -> U\nL -> A\nO -> F\nD -> L\nB -> O\nT -> M\nR -> C\nA -> M\nP -> Q\nM -> T\nQ -> K\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "M", "B": "K", "C": "G", "D": "B"}, "depth": 1, "id": "test_d01_00050", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "I", "C": "K", "D": "D", "E": "U", "F": "G", "G": "V", "H": "J", "I": "N", "J": "O", "K": "U", "L": "M", "M": "J", "N": "L", "O": "D", "P": "S", "Q": "G", "R": "Q", "S": "J", "T": "E", "U": "K", "V": "E", "W": "I", "X": "J"}, "n_symbols": 24, "orbit": ["F", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> I\nM -> J\nK -> U\nN -> L\nL -> M\nO -> D\nP -> S\nA -> R\nD -> D\nV -> E\nE -> U\nC -> K\nJ -> O\nI -> N\nS -> J\nH -> J\nU -> K\nX -> J\nG -> V\nR -> Q\nW -> I\nQ -> G\nT -> E\nF -> G\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "G"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "I", "B": "X", "C": "V", "D": "N"}, "depth": 1, "id": "test_d01_00051", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "S", "C": "J", "D": "V", "E": "H", "F": "Q", "G": "F", "H": "W", "I": "C", "J": "H", "K": "S", "L": "G", "M": "S", "N": "L", "O": "V", "P": "V", "Q": "K", "R": "G", "S": "J", "T": "L", "U": "G", "V": "W", "W": "X", "X": "S"}, "n_symbols": 24, "orbit": ["D", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> L\nX -> S\nI -> C\nO -> V\nC -> J\nG -> F\nM -> S\nD -> V\nK -> S\nT -> L\nP -> V\nJ -> H\nF -> Q\nS -> J\nH -> W\nU -> G\nB -> S\nA -> L\nV -> W\nL -> G\nW -> X\nE -> H\nR -> G\nQ -> K\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "P", "B": "D", "C": "T", "D": "V"}, "depth": 1, "id": "test_d01_00052", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "I", "C": "N", "D": "N", "E": "S", "F": "L", "G": "T", "H": "X", "I": "F", "J": "R", "K": "R", "L": "C", "M": "J", "N": "B", "O": "L", "P": "D", "Q": "O", "R": "I", "S": "X", "T": "J", "U": "T", "V": "X", "W": "F", "X": "I"}, "n_symbols": 24, "orbit": ["G", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> X\nD -> N\nP -> D\nQ -> O\nX -> I\nC -> N\nU -> T\nO -> L\nH -> X\nL -> C\nJ -> R\nK -> R\nB -> I\nA -> Q\nG -> T\nW -> F\nN -> B\nT -> J\nS -> X\nF -> L\nE -> S\nR -> I\nM -> J\nI -> F\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "T"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "N", "B": "H", "C": "Q", "D": "T"}, "depth": 1, "id": "test_d01_00053", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "B", "C": "R", "D": "H", "E": "T", "F": "P", "G": "D", "H": "C", "I": "I", "J": "Q", "K": "U", "L": "N", "M": "D", "N": "S", "O": "D", "P": "P", "Q": "A", "R": "O", "S": "Q", "T": "K", "U": "N", "V": "K", "W": "V", "X": "K"}, "n_symbols": 24, "orbit": ["D", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> A\nT -> K\nN -> S\nP -> P\nE -> T\nB -> B\nG -> D\nX -> K\nD -> H\nS -> Q\nC -> R\nU -> N\nL -> N\nV -> K\nO -> D\nW -> V\nM -> D\nK -> U\nI -> I\nF -> P\nJ -> Q\nR -> O\nA -> B\nH -> C\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "G", "B": "S", "C": "A", "D": "M"}, "depth": 1, "id": "test_d01_00054", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "N", "C": "O", "D": "U", "E": "V", "F": "I", "G": "L", "H": "M", "I": "D", "J": "G", "K": "D", "L": "R", "M": "P", "N": "W", "O": "V", "P": "C", "Q": "U", "R": "W", "S": "A", "T": "S", "U": "T", "V": "M", "W": "U", "X": "O"}, "n_symbols": 24, "orbit": ["T", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> D\nM -> P\nG -> L\nQ -> U\nU -> T\nO -> V\nE -> V\nR -> W\nN -> W\nD -> U\nT -> S\nI -> D\nH -> M\nB -> N\nJ -> G\nP -> C\nV -> M\nW -> U\nS -> A\nX -> O\nK -> D\nL -> R\nF -> I\nC -> O\n\nStart value: T\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "S"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "R", "B": "O", "C": "B", "D": "V"}, "depth": 1, "id": "test_d01_00055", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "W", "C": "X", "D": "V", "E": "M", "F": "M", "G": "B", "H": "J", "I": "U", "J": "K", "K": "P", "L": "D", "M": "C", "N": "W", "O": "P", "P": "G", "Q": "O", "R": "F", "S": "B", "T": "D", "U": "K", "V": "K", "W": "V", "X": "G"}, "n_symbols": 24, "orbit": ["D", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> W\nR -> F\nO -> P\nM -> C\nJ -> K\nL -> D\nF -> M\nD -> V\nP -> G\nT -> D\nG -> B\nU -> K\nK -> P\nI -> U\nW -> V\nH -> J\nX -> G\nQ -> O\nV -> K\nE -> M\nA -> W\nC -> X\nS -> B\nN -> W\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "G", "B": "V", "C": "U", "D": "O"}, "depth": 1, "id": "test_d01_00056", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "F", "C": "U", "D": "O", "E": "U", "F": "K", "G": "P", "H": "Q", "I": "B", "J": "W", "K": "M", "L": "U", "M": "N", "N": "T", "O": "T", "P": "T", "Q": "O", "R": "T", "S": "A", "T": "U", "U": "N", "V": "F", "W": "I", "X": "B"}, "n_symbols": 24, "orbit": ["E", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> P\nO -> T\nV -> F\nB -> F\nI -> B\nU -> N\nL -> U\nE -> U\nJ -> W\nK -> M\nA -> B\nR -> T\nN -> T\nT -> U\nW -> I\nF -> K\nC -> U\nP -> T\nS -> A\nM -> N\nX -> B\nH -> Q\nQ -> O\nD -> O\n\nStart value: E\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "X", "B": "A", "C": "L", "D": "T"}, "depth": 1, "id": "test_d01_00057", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "P", "C": "T", "D": "J", "E": "R", "F": "E", "G": "V", "H": "A", "I": "P", "J": "E", "K": "W", "L": "X", "M": "L", "N": "P", "O": "B", "P": "B", "Q": "W", "R": "G", "S": "L", "T": "E", "U": "L", "V": "D", "W": "Q", "X": "Q"}, "n_symbols": 24, "orbit": ["U", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> Q\nA -> J\nT -> E\nB -> P\nW -> Q\nR -> G\nF -> E\nN -> P\nU -> L\nS -> L\nJ -> E\nI -> P\nE -> R\nC -> T\nD -> J\nG -> V\nQ -> W\nM -> L\nH -> A\nK -> W\nL -> X\nV -> D\nP -> B\nO -> B\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "L"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "P", "B": "N", "C": "U", "D": "X"}, "depth": 1, "id": "test_d01_00058", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "D", "C": "G", "D": "Q", "E": "N", "F": "L", "G": "B", "H": "X", "I": "C", "J": "G", "K": "S", "L": "R", "M": "D", "N": "I", "O": "X", "P": "G", "Q": "O", "R": "M", "S": "V", "T": "C", "U": "T", "V": "R", "W": "I", "X": "G"}, "n_symbols": 24, "orbit": ["H", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> T\nP -> G\nX -> G\nN -> I\nA -> B\nE -> N\nI -> C\nV -> R\nM -> D\nR -> M\nO -> X\nJ -> G\nT -> C\nS -> V\nK -> S\nF -> L\nW -> I\nH -> X\nQ -> O\nD -> Q\nL -> R\nC -> G\nB -> D\nG -> B\n\nStart value: H\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "X"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "Q", "B": "D", "C": "J", "D": "T"}, "depth": 1, "id": "test_d01_00059", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "W", "C": "T", "D": "G", "E": "X", "F": "W", "G": "J", "H": "S", "I": "K", "J": "X", "K": "H", "L": "D", "M": "O", "N": "F", "O": "T", "P": "O", "Q": "L", "R": "H", "S": "C", "T": "L", "U": "W", "V": "X", "W": "C", "X": "F"}, "n_symbols": 24, "orbit": ["C", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> L\nJ -> X\nD -> G\nB -> W\nT -> L\nS -> C\nR -> H\nH -> S\nF -> W\nP -> O\nU -> W\nG -> J\nI -> K\nA -> T\nK -> H\nN -> F\nX -> F\nL -> D\nW -> C\nV -> X\nC -> T\nM -> O\nO -> T\nE -> X\n\nStart value: C\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "T"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "G", "B": "J", "C": "W", "D": "L"}, "depth": 1, "id": "test_d01_00060", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "L", "C": "U", "D": "J", "E": "J", "F": "J", "G": "W", "H": "I", "I": "B", "J": "M", "K": "V", "L": "O", "M": "S", "N": "X", "O": "T", "P": "N", "Q": "N", "R": "R", "S": "T", "T": "F", "U": "F", "V": "I", "W": "F", "X": "P"}, "n_symbols": 24, "orbit": ["D", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> F\nL -> O\nG -> W\nO -> T\nE -> J\nA -> S\nN -> X\nF -> J\nJ -> M\nT -> F\nH -> I\nU -> F\nC -> U\nI -> B\nV -> I\nK -> V\nD -> J\nX -> P\nP -> N\nS -> T\nM -> S\nB -> L\nR -> R\nQ -> N\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "J"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "V", "B": "R", "C": "H", "D": "X"}, "depth": 1, "id": "test_d01_00061", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "R", "C": "Q", "D": "P", "E": "C", "F": "A", "G": "X", "H": "K", "I": "J", "J": "K", "K": "G", "L": "F", "M": "T", "N": "T", "O": "X", "P": "G", "Q": "X", "R": "P", "S": "G", "T": "V", "U": "E", "V": "F", "W": "D", "X": "T"}, "n_symbols": 24, "orbit": ["G", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> T\nH -> K\nV -> F\nR -> P\nM -> T\nW -> D\nI -> J\nT -> V\nD -> P\nB -> R\nP -> G\nQ -> X\nA -> P\nK -> G\nN -> T\nL -> F\nC -> Q\nE -> C\nF -> A\nJ -> K\nS -> G\nG -> X\nU -> E\nO -> X\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "P", "B": "C", "C": "W", "D": "M"}, "depth": 1, "id": "test_d01_00062", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "S", "C": "T", "D": "I", "E": "S", "F": "W", "G": "U", "H": "K", "I": "S", "J": "F", "K": "R", "L": "I", "M": "Q", "N": "D", "O": "T", "P": "M", "Q": "D", "R": "L", "S": "M", "T": "V", "U": "P", "V": "C", "W": "I", "X": "A"}, "n_symbols": 24, "orbit": ["F", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> M\nM -> Q\nC -> T\nI -> S\nG -> U\nR -> L\nO -> T\nF -> W\nK -> R\nS -> M\nX -> A\nJ -> F\nB -> S\nW -> I\nV -> C\nL -> I\nD -> I\nH -> K\nU -> P\nE -> S\nT -> V\nA -> J\nQ -> D\nN -> D\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "H", "B": "F", "C": "S", "D": "G"}, "depth": 1, "id": "test_d01_00063", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "T", "C": "M", "D": "T", "E": "A", "F": "T", "G": "D", "H": "A", "I": "T", "J": "M", "K": "D", "L": "P", "M": "K", "N": "H", "O": "C", "P": "Q", "Q": "Q", "R": "U", "S": "V", "T": "Q", "U": "H", "V": "T", "W": "H", "X": "K"}, "n_symbols": 24, "orbit": ["U", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> T\nG -> D\nS -> V\nN -> H\nR -> U\nU -> H\nK -> D\nE -> A\nW -> H\nO -> C\nH -> A\nD -> T\nX -> K\nP -> Q\nJ -> M\nC -> M\nB -> T\nT -> Q\nM -> K\nV -> T\nL -> P\nQ -> Q\nA -> I\nI -> T\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "P", "B": "L", "C": "N", "D": "I"}, "depth": 1, "id": "test_d01_00064", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "T", "C": "L", "D": "M", "E": "S", "F": "A", "G": "J", "H": "M", "I": "X", "J": "H", "K": "H", "L": "D", "M": "R", "N": "K", "O": "O", "P": "I", "Q": "S", "R": "K", "S": "F", "T": "B", "U": "C", "V": "A", "W": "A", "X": "P"}, "n_symbols": 24, "orbit": ["C", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> K\nI -> X\nP -> I\nH -> M\nD -> M\nU -> C\nB -> T\nR -> K\nS -> F\nV -> A\nA -> O\nE -> S\nW -> A\nK -> H\nX -> P\nJ -> H\nO -> O\nM -> R\nL -> D\nG -> J\nF -> A\nT -> B\nQ -> S\nC -> L\n\nStart value: C\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "W", "B": "N", "C": "C", "D": "M"}, "depth": 1, "id": "test_d01_00065", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "N", "C": "V", "D": "J", "E": "V", "F": "Q", "G": "I", "H": "M", "I": "N", "J": "K", "K": "Q", "L": "Q", "M": "W", "N": "W", "O": "L", "P": "Q", "Q": "I", "R": "K", "S": "K", "T": "V", "U": "P", "V": "O", "W": "H", "X": "J"}, "n_symbols": 24, "orbit": ["I", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> W\nW -> H\nC -> V\nV -> O\nN -> W\nT -> V\nU -> P\nQ -> I\nI -> N\nD -> J\nJ -> K\nL -> Q\nG -> I\nB -> N\nA -> R\nP -> Q\nX -> J\nE -> V\nF -> Q\nK -> Q\nS -> K\nH -> M\nR -> K\nO -> L\n\nStart value: I\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "G", "B": "J", "C": "O", "D": "T"}, "depth": 1, "id": "test_d01_00066", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "G", "C": "F", "D": "P", "E": "G", "F": "F", "G": "X", "H": "P", "I": "Q", "J": "W", "K": "E", "L": "G", "M": "E", "N": "E", "O": "Q", "P": "X", "Q": "D", "R": "K", "S": "V", "T": "P", "U": "X", "V": "V", "W": "Q", "X": "E"}, "n_symbols": 24, "orbit": ["L", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> P\nJ -> W\nO -> Q\nX -> E\nV -> V\nU -> X\nE -> G\nS -> V\nB -> G\nK -> E\nF -> F\nR -> K\nW -> Q\nA -> N\nN -> E\nQ -> D\nL -> G\nD -> P\nP -> X\nH -> P\nC -> F\nI -> Q\nM -> E\nG -> X\n\nStart value: L\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "G"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "R", "B": "U", "C": "I", "D": "X"}, "depth": 1, "id": "test_d01_00067", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "W", "C": "U", "D": "O", "E": "R", "F": "R", "G": "D", "H": "W", "I": "Q", "J": "L", "K": "C", "L": "V", "M": "B", "N": "C", "O": "F", "P": "H", "Q": "C", "R": "H", "S": "X", "T": "H", "U": "F", "V": "V", "W": "D", "X": "G"}, "n_symbols": 24, "orbit": ["E", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> F\nX -> G\nI -> Q\nB -> W\nH -> W\nT -> H\nO -> F\nE -> R\nF -> R\nQ -> C\nJ -> L\nG -> D\nP -> H\nS -> X\nW -> D\nK -> C\nN -> C\nM -> B\nL -> V\nD -> O\nA -> H\nV -> V\nC -> U\nR -> H\n\nStart value: E\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "R"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "C", "B": "P", "C": "L", "D": "B"}, "depth": 1, "id": "test_d01_00068", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "H", "C": "P", "D": "C", "E": "U", "F": "W", "G": "C", "H": "L", "I": "O", "J": "S", "K": "A", "L": "X", "M": "U", "N": "E", "O": "N", "P": "P", "Q": "Q", "R": "T", "S": "O", "T": "N", "U": "R", "V": "G", "W": "I", "X": "C"}, "n_symbols": 24, "orbit": ["D", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> H\nL -> X\nP -> P\nI -> O\nJ -> S\nM -> U\nO -> N\nA -> T\nH -> L\nS -> O\nE -> U\nT -> N\nV -> G\nW -> I\nC -> P\nD -> C\nR -> T\nQ -> Q\nN -> E\nG -> C\nU -> R\nX -> C\nF -> W\nK -> A\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "X", "B": "R", "C": "M", "D": "W"}, "depth": 1, "id": "test_d01_00069", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "S", "C": "U", "D": "E", "E": "K", "F": "R", "G": "M", "H": "T", "I": "D", "J": "F", "K": "N", "L": "R", "M": "T", "N": "L", "O": "H", "P": "E", "Q": "M", "R": "R", "S": "N", "T": "F", "U": "E", "V": "D", "W": "T", "X": "A"}, "n_symbols": 24, "orbit": ["L", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> R\nM -> T\nX -> A\nW -> T\nF -> R\nO -> H\nI -> D\nA -> M\nC -> U\nG -> M\nL -> R\nT -> F\nU -> E\nE -> K\nH -> T\nN -> L\nP -> E\nD -> E\nK -> N\nQ -> M\nV -> D\nJ -> F\nS -> N\nB -> S\n\nStart value: L\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "R"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "E", "B": "X", "C": "H", "D": "B"}, "depth": 1, "id": "test_d01_00070", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "Q", "C": "U", "D": "L", "E": "R", "F": "P", "G": "F", "H": "S", "I": "G", "J": "O", "K": "N", "L": "U", "M": "N", "N": "K", "O": "N", "P": "D", "Q": "V", "R": "I", "S": "E", "T": "E", "U": "C", "V": "K", "W": "P", "X": "D"}, "n_symbols": 24, "orbit": ["A", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> S\nX -> D\nB -> Q\nF -> P\nO -> N\nN -> K\nQ -> V\nL -> U\nC -> U\nP -> D\nG -> F\nI -> G\nM -> N\nS -> E\nD -> L\nT -> E\nV -> K\nJ -> O\nA -> E\nK -> N\nW -> P\nU -> C\nR -> I\nE -> R\n\nStart value: A\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "X", "B": "P", "C": "S", "D": "Q"}, "depth": 1, "id": "test_d01_00071", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "Q", "C": "G", "D": "O", "E": "L", "F": "P", "G": "M", "H": "V", "I": "K", "J": "K", "K": "S", "L": "E", "M": "M", "N": "F", "O": "H", "P": "N", "Q": "X", "R": "Q", "S": "P", "T": "M", "U": "G", "V": "N", "W": "I", "X": "N"}, "n_symbols": 24, "orbit": ["S", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> P\nX -> N\nQ -> X\nD -> O\nC -> G\nH -> V\nO -> H\nI -> K\nV -> N\nR -> Q\nN -> F\nM -> M\nE -> L\nA -> S\nU -> G\nK -> S\nP -> N\nG -> M\nJ -> K\nL -> E\nB -> Q\nW -> I\nF -> P\nT -> M\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "P"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "B", "B": "V", "C": "W", "D": "J"}, "depth": 1, "id": "test_d01_00072", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "N", "C": "R", "D": "V", "E": "L", "F": "K", "G": "H", "H": "F", "I": "O", "J": "L", "K": "V", "L": "J", "M": "F", "N": "X", "O": "G", "P": "N", "Q": "A", "R": "M", "S": "W", "T": "B", "U": "E", "V": "G", "W": "P", "X": "W"}, "n_symbols": 24, "orbit": ["D", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> N\nV -> G\nJ -> L\nW -> P\nP -> N\nL -> J\nM -> F\nS -> W\nT -> B\nD -> V\nQ -> A\nI -> O\nX -> W\nE -> L\nR -> M\nN -> X\nA -> D\nG -> H\nU -> E\nF -> K\nK -> V\nH -> F\nC -> R\nO -> G\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "S", "B": "Q", "C": "F", "D": "C"}, "depth": 1, "id": "test_d01_00073", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "Q", "C": "F", "D": "W", "E": "T", "F": "D", "G": "F", "H": "N", "I": "K", "J": "S", "K": "S", "L": "P", "M": "K", "N": "F", "O": "O", "P": "O", "Q": "L", "R": "F", "S": "U", "T": "V", "U": "P", "V": "D", "W": "U", "X": "K"}, "n_symbols": 24, "orbit": ["G", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> F\nQ -> L\nS -> U\nW -> U\nU -> P\nJ -> S\nD -> W\nF -> D\nI -> K\nM -> K\nR -> F\nH -> N\nE -> T\nN -> F\nO -> O\nA -> F\nK -> S\nP -> O\nV -> D\nT -> V\nL -> P\nB -> Q\nX -> K\nG -> F\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "F"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "S", "B": "M", "C": "J", "D": "F"}, "depth": 1, "id": "test_d01_00074", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "R", "C": "L", "D": "H", "E": "U", "F": "W", "G": "S", "H": "F", "I": "D", "J": "L", "K": "E", "L": "T", "M": "H", "N": "P", "O": "D", "P": "B", "Q": "A", "R": "R", "S": "E", "T": "K", "U": "I", "V": "A", "W": "H", "X": "U"}, "n_symbols": 24, "orbit": ["G", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> H\nJ -> L\nF -> W\nS -> E\nE -> U\nN -> P\nH -> F\nC -> L\nL -> T\nR -> R\nB -> R\nD -> H\nG -> S\nQ -> A\nA -> I\nP -> B\nK -> E\nU -> I\nX -> U\nT -> K\nW -> H\nO -> D\nV -> A\nI -> D\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "S"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "M", "B": "H", "C": "B", "D": "W"}, "depth": 1, "id": "test_d01_00075", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "N", "C": "L", "D": "I", "E": "A", "F": "I", "G": "C", "H": "I", "I": "W", "J": "O", "K": "F", "L": "F", "M": "S", "N": "O", "O": "B", "P": "U", "Q": "K", "R": "L", "S": "K", "T": "V", "U": "R", "V": "E", "W": "E", "X": "G"}, "n_symbols": 24, "orbit": ["I", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> I\nM -> S\nB -> N\nV -> E\nE -> A\nL -> F\nK -> F\nI -> W\nO -> B\nN -> O\nT -> V\nJ -> O\nA -> V\nU -> R\nX -> G\nS -> K\nF -> I\nQ -> K\nD -> I\nG -> C\nR -> L\nC -> L\nW -> E\nP -> U\n\nStart value: I\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "M", "B": "L", "C": "V", "D": "Q"}, "depth": 1, "id": "test_d01_00076", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "O", "C": "U", "D": "V", "E": "L", "F": "R", "G": "S", "H": "B", "I": "N", "J": "K", "K": "L", "L": "Q", "M": "X", "N": "M", "O": "D", "P": "U", "Q": "K", "R": "Q", "S": "X", "T": "F", "U": "K", "V": "B", "W": "T", "X": "Q"}, "n_symbols": 24, "orbit": ["X", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> B\nL -> Q\nM -> X\nT -> F\nR -> Q\nU -> K\nW -> T\nN -> M\nA -> E\nB -> O\nC -> U\nS -> X\nD -> V\nK -> L\nO -> D\nF -> R\nG -> S\nJ -> K\nP -> U\nX -> Q\nE -> L\nQ -> K\nH -> B\nI -> N\n\nStart value: X\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "S", "B": "I", "C": "F", "D": "A"}, "depth": 1, "id": "test_d01_00077", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "E", "C": "U", "D": "G", "E": "T", "F": "A", "G": "F", "H": "U", "I": "R", "J": "F", "K": "L", "L": "E", "M": "D", "N": "I", "O": "I", "P": "B", "Q": "I", "R": "B", "S": "U", "T": "M", "U": "P", "V": "W", "W": "I", "X": "F"}, "n_symbols": 24, "orbit": ["F", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> U\nI -> R\nF -> A\nK -> L\nW -> I\nL -> E\nD -> G\nH -> U\nG -> F\nB -> E\nA -> D\nN -> I\nX -> F\nP -> B\nJ -> F\nT -> M\nV -> W\nO -> I\nU -> P\nQ -> I\nR -> B\nE -> T\nC -> U\nM -> D\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "T", "B": "L", "C": "F", "D": "K"}, "depth": 1, "id": "test_d01_00078", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "V", "C": "R", "D": "B", "E": "T", "F": "N", "G": "H", "H": "O", "I": "W", "J": "U", "K": "S", "L": "L", "M": "E", "N": "P", "O": "I", "P": "T", "Q": "V", "R": "W", "S": "L", "T": "S", "U": "N", "V": "N", "W": "A", "X": "R"}, "n_symbols": 24, "orbit": ["A", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> L\nT -> S\nF -> N\nK -> S\nO -> I\nB -> V\nQ -> V\nX -> R\nS -> L\nG -> H\nE -> T\nN -> P\nD -> B\nA -> F\nR -> W\nI -> W\nV -> N\nC -> R\nU -> N\nP -> T\nM -> E\nJ -> U\nH -> O\nW -> A\n\nStart value: A\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "F"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "V", "B": "W", "C": "E", "D": "Q"}, "depth": 1, "id": "test_d01_00079", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "Q", "C": "O", "D": "O", "E": "M", "F": "W", "G": "Q", "H": "O", "I": "V", "J": "L", "K": "C", "L": "O", "M": "T", "N": "E", "O": "B", "P": "U", "Q": "U", "R": "E", "S": "S", "T": "T", "U": "X", "V": "M", "W": "X", "X": "W"}, "n_symbols": 24, "orbit": ["F", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> M\nW -> X\nE -> M\nQ -> U\nX -> W\nS -> S\nI -> V\nD -> O\nP -> U\nU -> X\nM -> T\nL -> O\nA -> B\nT -> T\nH -> O\nR -> E\nF -> W\nN -> E\nK -> C\nB -> Q\nJ -> L\nC -> O\nO -> B\nG -> Q\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "W"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "B", "B": "P", "C": "N", "D": "A"}, "depth": 1, "id": "test_d01_00080", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "V", "C": "V", "D": "P", "E": "P", "F": "J", "G": "C", "H": "N", "I": "F", "J": "G", "K": "I", "L": "A", "M": "M", "N": "H", "O": "P", "P": "G", "Q": "Q", "R": "H", "S": "O", "T": "X", "U": "U", "V": "X", "W": "W", "X": "L"}, "n_symbols": 24, "orbit": ["O", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> H\nA -> G\nB -> V\nT -> X\nS -> O\nO -> P\nI -> F\nG -> C\nR -> H\nW -> W\nP -> G\nM -> M\nX -> L\nD -> P\nU -> U\nE -> P\nQ -> Q\nF -> J\nH -> N\nV -> X\nK -> I\nC -> V\nJ -> G\nL -> A\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "P"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "U", "B": "T", "C": "I", "D": "B"}, "depth": 1, "id": "test_d01_00081", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "I", "C": "P", "D": "U", "E": "K", "F": "H", "G": "M", "H": "B", "I": "X", "J": "F", "K": "K", "L": "H", "M": "V", "N": "U", "O": "E", "P": "O", "Q": "I", "R": "G", "S": "V", "T": "S", "U": "T", "V": "Q", "W": "H", "X": "J"}, "n_symbols": 24, "orbit": ["N", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> S\nB -> I\nI -> X\nH -> B\nQ -> I\nX -> J\nU -> T\nL -> H\nN -> U\nD -> U\nV -> Q\nS -> V\nM -> V\nK -> K\nG -> M\nP -> O\nO -> E\nC -> P\nJ -> F\nA -> G\nW -> H\nE -> K\nF -> H\nR -> G\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "U"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "M", "B": "P", "C": "X", "D": "E"}, "depth": 1, "id": "test_d01_00082", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "L", "C": "V", "D": "Q", "E": "B", "F": "W", "G": "K", "H": "N", "I": "M", "J": "H", "K": "X", "L": "G", "M": "Q", "N": "F", "O": "X", "P": "L", "Q": "Q", "R": "J", "S": "V", "T": "D", "U": "R", "V": "M", "W": "O", "X": "J"}, "n_symbols": 24, "orbit": ["V", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> B\nX -> J\nP -> L\nN -> F\nW -> O\nH -> N\nO -> X\nB -> L\nT -> D\nS -> V\nL -> G\nV -> M\nC -> V\nJ -> H\nR -> J\nK -> X\nI -> M\nU -> R\nQ -> Q\nM -> Q\nG -> K\nA -> V\nD -> Q\nF -> W\n\nStart value: V\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "J", "B": "N", "C": "G", "D": "K"}, "depth": 1, "id": "test_d01_00083", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "F", "C": "B", "D": "H", "E": "P", "F": "B", "G": "A", "H": "C", "I": "R", "J": "U", "K": "T", "L": "N", "M": "A", "N": "K", "O": "F", "P": "D", "Q": "U", "R": "J", "S": "K", "T": "D", "U": "Q", "V": "L", "W": "N", "X": "R"}, "n_symbols": 24, "orbit": ["N", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> A\nJ -> U\nN -> K\nB -> F\nD -> H\nH -> C\nR -> J\nQ -> U\nE -> P\nO -> F\nI -> R\nC -> B\nF -> B\nL -> N\nS -> K\nM -> A\nW -> N\nP -> D\nK -> T\nT -> D\nU -> Q\nV -> L\nA -> X\nX -> R\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "E", "B": "H", "C": "W", "D": "G"}, "depth": 1, "id": "test_d01_00084", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "F", "C": "T", "D": "V", "E": "W", "F": "Q", "G": "V", "H": "O", "I": "L", "J": "R", "K": "N", "L": "F", "M": "X", "N": "H", "O": "I", "P": "X", "Q": "W", "R": "I", "S": "D", "T": "U", "U": "I", "V": "C", "W": "W", "X": "D"}, "n_symbols": 24, "orbit": ["Q", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> W\nG -> V\nH -> O\nW -> W\nD -> V\nA -> D\nN -> H\nJ -> R\nQ -> W\nT -> U\nK -> N\nF -> Q\nI -> L\nB -> F\nM -> X\nX -> D\nP -> X\nR -> I\nV -> C\nC -> T\nO -> I\nS -> D\nU -> I\nL -> F\n\nStart value: Q\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "D", "B": "J", "C": "V", "D": "K"}, "depth": 1, "id": "test_d01_00085", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "A", "C": "R", "D": "G", "E": "C", "F": "X", "G": "H", "H": "W", "I": "K", "J": "H", "K": "G", "L": "D", "M": "U", "N": "T", "O": "O", "P": "S", "Q": "Q", "R": "V", "S": "O", "T": "B", "U": "D", "V": "E", "W": "B", "X": "G"}, "n_symbols": 24, "orbit": ["U", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> E\nJ -> H\nK -> G\nQ -> Q\nL -> D\nI -> K\nW -> B\nP -> S\nR -> V\nC -> R\nG -> H\nS -> O\nH -> W\nU -> D\nX -> G\nT -> B\nD -> G\nO -> O\nE -> C\nB -> A\nM -> U\nF -> X\nA -> Q\nN -> T\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "D"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "L", "B": "R", "C": "T", "D": "H"}, "depth": 1, "id": "test_d01_00086", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "U", "C": "C", "D": "W", "E": "O", "F": "U", "G": "B", "H": "K", "I": "S", "J": "K", "K": "H", "L": "A", "M": "Q", "N": "H", "O": "I", "P": "U", "Q": "C", "R": "A", "S": "B", "T": "K", "U": "C", "V": "A", "W": "S", "X": "T"}, "n_symbols": 24, "orbit": ["K", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> A\nL -> A\nT -> K\nF -> U\nU -> C\nC -> C\nJ -> K\nM -> Q\nP -> U\nW -> S\nH -> K\nS -> B\nE -> O\nN -> H\nK -> H\nI -> S\nQ -> C\nV -> A\nG -> B\nA -> G\nO -> I\nB -> U\nX -> T\nD -> W\n\nStart value: K\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "H"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "H", "B": "C", "C": "X", "D": "P"}, "depth": 1, "id": "test_d01_00087", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "C", "C": "E", "D": "T", "E": "C", "F": "C", "G": "D", "H": "J", "I": "A", "J": "B", "K": "J", "L": "Q", "M": "L", "N": "V", "O": "C", "P": "H", "Q": "M", "R": "O", "S": "J", "T": "D", "U": "P", "V": "F", "W": "T", "X": "P"}, "n_symbols": 24, "orbit": ["U", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> J\nC -> E\nX -> P\nP -> H\nS -> J\nO -> C\nU -> P\nA -> Q\nN -> V\nE -> C\nJ -> B\nD -> T\nW -> T\nF -> C\nG -> D\nL -> Q\nB -> C\nI -> A\nV -> F\nR -> O\nQ -> M\nT -> D\nK -> J\nM -> L\n\nStart value: U\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "K", "B": "F", "C": "B", "D": "J"}, "depth": 1, "id": "test_d01_00088", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "H", "C": "G", "D": "M", "E": "I", "F": "B", "G": "O", "H": "K", "I": "E", "J": "P", "K": "G", "L": "L", "M": "Q", "N": "C", "O": "I", "P": "M", "Q": "K", "R": "A", "S": "N", "T": "J", "U": "M", "V": "S", "W": "F", "X": "P"}, "n_symbols": 24, "orbit": ["F", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> G\nJ -> P\nF -> B\nG -> O\nQ -> K\nH -> K\nO -> I\nX -> P\nS -> N\nL -> L\nP -> M\nN -> C\nT -> J\nD -> M\nV -> S\nW -> F\nA -> N\nC -> G\nI -> E\nE -> I\nR -> A\nM -> Q\nU -> M\nB -> H\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "B"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "M", "B": "E", "C": "O", "D": "V"}, "depth": 1, "id": "test_d01_00089", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "D", "C": "V", "D": "L", "E": "M", "F": "I", "G": "B", "H": "P", "I": "D", "J": "N", "K": "I", "L": "I", "M": "N", "N": "I", "O": "C", "P": "U", "Q": "U", "R": "V", "S": "D", "T": "C", "U": "H", "V": "M", "W": "I", "X": "G"}, "n_symbols": 24, "orbit": ["E", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> M\nO -> C\nV -> M\nL -> I\nQ -> U\nF -> I\nM -> N\nC -> V\nD -> L\nR -> V\nB -> D\nJ -> N\nA -> F\nP -> U\nX -> G\nS -> D\nN -> I\nU -> H\nT -> C\nG -> B\nK -> I\nH -> P\nI -> D\nW -> I\n\nStart value: E\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "L", "B": "K", "C": "H", "D": "X"}, "depth": 1, "id": "test_d01_00090", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "K", "C": "I", "D": "F", "E": "W", "F": "J", "G": "C", "H": "U", "I": "M", "J": "N", "K": "P", "L": "E", "M": "J", "N": "O", "O": "Q", "P": "D", "Q": "K", "R": "N", "S": "K", "T": "E", "U": "V", "V": "B", "W": "T", "X": "V"}, "n_symbols": 24, "orbit": ["B", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> U\nX -> V\nL -> E\nE -> W\nB -> K\nN -> O\nQ -> K\nF -> J\nJ -> N\nA -> N\nI -> M\nM -> J\nC -> I\nV -> B\nO -> Q\nT -> E\nR -> N\nD -> F\nS -> K\nW -> T\nP -> D\nU -> V\nG -> C\nK -> P\n\nStart value: B\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "L", "B": "X", "C": "P", "D": "F"}, "depth": 1, "id": "test_d01_00091", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "W", "C": "H", "D": "I", "E": "N", "F": "N", "G": "R", "H": "R", "I": "F", "J": "N", "K": "K", "L": "W", "M": "L", "N": "N", "O": "J", "P": "H", "Q": "J", "R": "M", "S": "C", "T": "X", "U": "U", "V": "L", "W": "T", "X": "P"}, "n_symbols": 24, "orbit": ["X", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> N\nX -> P\nL -> W\nD -> I\nV -> L\nP -> H\nH -> R\nM -> L\nK -> K\nT -> X\nC -> H\nI -> F\nN -> N\nA -> M\nW -> T\nE -> N\nU -> U\nS -> C\nG -> R\nJ -> N\nO -> J\nQ -> J\nR -> M\nB -> W\n\nStart value: X\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "P"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "Q", "B": "P", "C": "V", "D": "G"}, "depth": 1, "id": "test_d01_00092", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "A", "C": "B", "D": "H", "E": "G", "F": "U", "G": "N", "H": "M", "I": "P", "J": "D", "K": "P", "L": "C", "M": "B", "N": "D", "O": "M", "P": "N", "Q": "M", "R": "N", "S": "G", "T": "N", "U": "A", "V": "M", "W": "N", "X": "E"}, "n_symbols": 24, "orbit": ["S", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> M\nG -> N\nP -> N\nV -> M\nF -> U\nT -> N\nM -> B\nK -> P\nH -> M\nL -> C\nD -> H\nA -> R\nE -> G\nR -> N\nN -> D\nO -> M\nB -> A\nU -> A\nJ -> D\nX -> E\nW -> N\nI -> P\nS -> G\nC -> B\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "G"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "O", "B": "X", "C": "K", "D": "H"}, "depth": 1, "id": "test_d01_00093", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "D", "C": "E", "D": "V", "E": "E", "F": "V", "G": "O", "H": "P", "I": "B", "J": "U", "K": "W", "L": "E", "M": "H", "N": "K", "O": "H", "P": "D", "Q": "Q", "R": "E", "S": "C", "T": "T", "U": "X", "V": "G", "W": "L", "X": "X"}, "n_symbols": 24, "orbit": ["N", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> P\nO -> H\nX -> X\nC -> E\nA -> J\nP -> D\nU -> X\nT -> T\nL -> E\nD -> V\nE -> E\nB -> D\nF -> V\nM -> H\nN -> K\nV -> G\nI -> B\nR -> E\nJ -> U\nW -> L\nK -> W\nG -> O\nS -> C\nQ -> Q\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "K"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "T", "B": "M", "C": "N", "D": "K"}, "depth": 1, "id": "test_d01_00094", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "M", "C": "B", "D": "V", "E": "S", "F": "E", "G": "V", "H": "K", "I": "P", "J": "H", "K": "B", "L": "T", "M": "H", "N": "M", "O": "T", "P": "I", "Q": "O", "R": "P", "S": "G", "T": "Q", "U": "T", "V": "V", "W": "G", "X": "C"}, "n_symbols": 24, "orbit": ["O", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> B\nM -> H\nN -> M\nU -> T\nW -> G\nB -> M\nF -> E\nG -> V\nI -> P\nP -> I\nH -> K\nJ -> H\nX -> C\nQ -> O\nA -> V\nO -> T\nE -> S\nV -> V\nS -> G\nT -> Q\nD -> V\nL -> T\nC -> B\nR -> P\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "Q", "B": "S", "C": "C", "D": "I"}, "depth": 1, "id": "test_d01_00095", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "O", "C": "T", "D": "R", "E": "P", "F": "K", "G": "M", "H": "S", "I": "G", "J": "T", "K": "G", "L": "Q", "M": "Q", "N": "Q", "O": "B", "P": "D", "Q": "O", "R": "R", "S": "Q", "T": "G", "U": "A", "V": "S", "W": "S", "X": "J"}, "n_symbols": 24, "orbit": ["S", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> G\nS -> Q\nQ -> O\nC -> T\nN -> Q\nO -> B\nG -> M\nT -> G\nF -> K\nX -> J\nH -> S\nP -> D\nL -> Q\nM -> Q\nB -> O\nW -> S\nE -> P\nK -> G\nA -> V\nD -> R\nR -> R\nU -> A\nJ -> T\nV -> S\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "R", "B": "G", "C": "X", "D": "A"}, "depth": 1, "id": "test_d01_00096", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "U", "C": "A", "D": "N", "E": "U", "F": "E", "G": "F", "H": "T", "I": "E", "J": "R", "K": "X", "L": "T", "M": "N", "N": "L", "O": "M", "P": "G", "Q": "S", "R": "F", "S": "F", "T": "U", "U": "L", "V": "U", "W": "C", "X": "R"}, "n_symbols": 24, "orbit": ["X", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> S\nG -> F\nX -> R\nH -> T\nJ -> R\nQ -> S\nR -> F\nV -> U\nP -> G\nE -> U\nN -> L\nO -> M\nU -> L\nF -> E\nC -> A\nT -> U\nI -> E\nK -> X\nL -> T\nM -> N\nW -> C\nB -> U\nS -> F\nD -> N\n\nStart value: X\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "R"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "L", "B": "W", "C": "Q", "D": "X"}, "depth": 1, "id": "test_d01_00097", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "K", "C": "P", "D": "O", "E": "L", "F": "D", "G": "L", "H": "B", "I": "H", "J": "N", "K": "L", "L": "M", "M": "D", "N": "E", "O": "W", "P": "E", "Q": "H", "R": "E", "S": "I", "T": "U", "U": "S", "V": "S", "W": "G", "X": "F"}, "n_symbols": 24, "orbit": ["O", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> H\nL -> M\nW -> G\nX -> F\nD -> O\nK -> L\nM -> D\nR -> E\nG -> L\nC -> P\nU -> S\nO -> W\nF -> D\nT -> U\nP -> E\nN -> E\nH -> B\nV -> S\nJ -> N\nS -> I\nB -> K\nA -> Q\nE -> L\nI -> H\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "F", "B": "R", "C": "P", "D": "L"}, "depth": 1, "id": "test_d01_00098", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "W", "C": "N", "D": "E", "E": "A", "F": "V", "G": "L", "H": "M", "I": "I", "J": "P", "K": "S", "L": "S", "M": "G", "N": "H", "O": "B", "P": "U", "Q": "B", "R": "E", "S": "U", "T": "X", "U": "D", "V": "W", "W": "U", "X": "X"}, "n_symbols": 24, "orbit": ["G", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> U\nF -> V\nR -> E\nE -> A\nH -> M\nI -> I\nS -> U\nM -> G\nN -> H\nG -> L\nD -> E\nV -> W\nA -> X\nL -> S\nJ -> P\nT -> X\nK -> S\nB -> W\nQ -> B\nX -> X\nC -> N\nU -> D\nO -> B\nW -> U\n\nStart value: G\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "Q", "B": "J", "C": "R", "D": "B"}, "depth": 1, "id": "test_d01_00099", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "Q", "C": "H", "D": "Q", "E": "D", "F": "G", "G": "W", "H": "T", "I": "G", "J": "T", "K": "R", "L": "V", "M": "Q", "N": "V", "O": "N", "P": "K", "Q": "W", "R": "U", "S": "G", "T": "T", "U": "Q", "V": "G", "W": "D", "X": "U"}, "n_symbols": 24, "orbit": ["D", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> Q\nJ -> T\nR -> U\nW -> D\nQ -> W\nA -> R\nD -> Q\nN -> V\nU -> Q\nE -> D\nO -> N\nV -> G\nX -> U\nT -> T\nK -> R\nP -> K\nS -> G\nH -> T\nM -> Q\nF -> G\nC -> H\nL -> V\nG -> W\nI -> G\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "Q"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "N", "B": "C", "C": "J", "D": "S"}, "depth": 1, "id": "test_d01_00100", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "P", "C": "R", "D": "G", "E": "E", "F": "Q", "G": "H", "H": "L", "I": "D", "J": "S", "K": "K", "L": "G", "M": "J", "N": "V", "O": "H", "P": "M", "Q": "V", "R": "L", "S": "O", "T": "W", "U": "D", "V": "C", "W": "K", "X": "S"}, "n_symbols": 24, "orbit": ["M", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> S\nN -> V\nS -> O\nC -> R\nU -> D\nX -> S\nQ -> V\nI -> D\nF -> Q\nP -> M\nT -> W\nK -> K\nH -> L\nL -> G\nA -> F\nD -> G\nE -> E\nW -> K\nV -> C\nG -> H\nR -> L\nM -> J\nB -> P\nO -> H\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "Q", "B": "F", "C": "T", "D": "R"}, "depth": 1, "id": "test_d01_00101", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "A", "C": "T", "D": "D", "E": "O", "F": "G", "G": "J", "H": "C", "I": "G", "J": "H", "K": "U", "L": "E", "M": "E", "N": "F", "O": "X", "P": "K", "Q": "M", "R": "Q", "S": "N", "T": "U", "U": "F", "V": "H", "W": "J", "X": "H"}, "n_symbols": 24, "orbit": ["N", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> G\nR -> Q\nQ -> M\nT -> U\nL -> E\nS -> N\nP -> K\nD -> D\nK -> U\nJ -> H\nU -> F\nV -> H\nB -> A\nH -> C\nO -> X\nG -> J\nA -> K\nN -> F\nC -> T\nI -> G\nE -> O\nX -> H\nM -> E\nW -> J\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "F"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "I", "B": "K", "C": "R", "D": "T"}, "depth": 1, "id": "test_d01_00102", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "N", "C": "V", "D": "S", "E": "B", "F": "P", "G": "V", "H": "T", "I": "H", "J": "T", "K": "W", "L": "I", "M": "A", "N": "G", "O": "Q", "P": "R", "Q": "Q", "R": "K", "S": "H", "T": "T", "U": "R", "V": "X", "W": "P", "X": "R"}, "n_symbols": 24, "orbit": ["J", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> H\nK -> W\nR -> K\nU -> R\nD -> S\nH -> T\nT -> T\nO -> Q\nV -> X\nC -> V\nW -> P\nL -> I\nN -> G\nA -> A\nG -> V\nP -> R\nE -> B\nQ -> Q\nM -> A\nX -> R\nB -> N\nS -> H\nF -> P\nJ -> T\n\nStart value: J\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "T"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "X", "B": "W", "C": "S", "D": "G"}, "depth": 1, "id": "test_d01_00103", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "Q", "C": "S", "D": "D", "E": "N", "F": "A", "G": "H", "H": "G", "I": "U", "J": "F", "K": "W", "L": "F", "M": "U", "N": "X", "O": "I", "P": "F", "Q": "T", "R": "Q", "S": "T", "T": "O", "U": "A", "V": "W", "W": "W", "X": "O"}, "n_symbols": 24, "orbit": ["H", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> T\nX -> O\nW -> W\nD -> D\nC -> S\nQ -> T\nG -> H\nP -> F\nM -> U\nA -> X\nJ -> F\nE -> N\nH -> G\nU -> A\nO -> I\nK -> W\nB -> Q\nI -> U\nF -> A\nV -> W\nR -> Q\nL -> F\nT -> O\nN -> X\n\nStart value: H\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "G"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "E", "B": "G", "C": "F", "D": "Q"}, "depth": 1, "id": "test_d01_00104", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "K", "C": "J", "D": "I", "E": "R", "F": "L", "G": "W", "H": "Q", "I": "H", "J": "M", "K": "G", "L": "K", "M": "F", "N": "G", "O": "K", "P": "J", "Q": "K", "R": "P", "S": "P", "T": "D", "U": "X", "V": "G", "W": "J", "X": "J"}, "n_symbols": 24, "orbit": ["V", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> R\nF -> L\nQ -> K\nL -> K\nO -> K\nS -> P\nB -> K\nU -> X\nX -> J\nM -> F\nG -> W\nJ -> M\nW -> J\nK -> G\nT -> D\nV -> G\nC -> J\nI -> H\nR -> P\nD -> I\nH -> Q\nA -> L\nP -> J\nN -> G\n\nStart value: V\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "G"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "J", "B": "K", "C": "E", "D": "M"}, "depth": 1, "id": "test_d01_00105", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "E", "C": "R", "D": "X", "E": "G", "F": "J", "G": "M", "H": "N", "I": "F", "J": "O", "K": "N", "L": "X", "M": "F", "N": "M", "O": "F", "P": "F", "Q": "A", "R": "J", "S": "G", "T": "T", "U": "V", "V": "G", "W": "O", "X": "R"}, "n_symbols": 24, "orbit": ["N", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> G\nJ -> O\nK -> N\nB -> E\nF -> J\nO -> F\nH -> N\nG -> M\nD -> X\nC -> R\nP -> F\nW -> O\nN -> M\nU -> V\nQ -> A\nR -> J\nA -> D\nM -> F\nS -> G\nT -> T\nV -> G\nL -> X\nX -> R\nI -> F\n\nStart value: N\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "B", "B": "D", "C": "P", "D": "U"}, "depth": 1, "id": "test_d01_00106", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "V", "C": "A", "D": "X", "E": "G", "F": "I", "G": "D", "H": "B", "I": "L", "J": "E", "K": "M", "L": "E", "M": "R", "N": "U", "O": "V", "P": "U", "Q": "H", "R": "M", "S": "Q", "T": "K", "U": "J", "V": "D", "W": "O", "X": "S"}, "n_symbols": 24, "orbit": ["P", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> X\nB -> V\nP -> U\nK -> M\nF -> I\nO -> V\nV -> D\nT -> K\nN -> U\nI -> L\nS -> Q\nG -> D\nR -> M\nU -> J\nQ -> H\nC -> A\nE -> G\nX -> S\nJ -> E\nM -> R\nW -> O\nL -> E\nA -> U\nH -> B\n\nStart value: P\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "G", "B": "V", "C": "B", "D": "T"}, "depth": 1, "id": "test_d01_00107", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "E", "C": "T", "D": "C", "E": "L", "F": "K", "G": "G", "H": "K", "I": "F", "J": "I", "K": "F", "L": "F", "M": "W", "N": "Q", "O": "A", "P": "K", "Q": "U", "R": "T", "S": "S", "T": "O", "U": "X", "V": "Q", "W": "W", "X": "V"}, "n_symbols": 24, "orbit": ["R", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> E\nG -> G\nV -> Q\nT -> O\nU -> X\nP -> K\nQ -> U\nJ -> I\nK -> F\nA -> P\nE -> L\nN -> Q\nS -> S\nF -> K\nO -> A\nM -> W\nW -> W\nH -> K\nR -> T\nX -> V\nL -> F\nI -> F\nC -> T\nD -> C\n\nStart value: R\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "T"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "L", "B": "N", "C": "E", "D": "C"}, "depth": 1, "id": "test_d01_00108", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "T", "C": "N", "D": "K", "E": "V", "F": "C", "G": "P", "H": "J", "I": "R", "J": "S", "K": "O", "L": "R", "M": "S", "N": "A", "O": "B", "P": "U", "Q": "E", "R": "U", "S": "I", "T": "L", "U": "C", "V": "D", "W": "O", "X": "V"}, "n_symbols": 24, "orbit": ["F", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> V\nL -> R\nN -> A\nO -> B\nF -> C\nJ -> S\nV -> D\nI -> R\nB -> T\nD -> K\nA -> W\nQ -> E\nG -> P\nR -> U\nH -> J\nC -> N\nU -> C\nX -> V\nM -> S\nT -> L\nK -> O\nW -> O\nP -> U\nS -> I\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "C"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "A", "B": "T", "C": "U", "D": "N"}, "depth": 1, "id": "test_d01_00109", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "K", "C": "J", "D": "E", "E": "H", "F": "N", "G": "E", "H": "A", "I": "B", "J": "O", "K": "R", "L": "O", "M": "N", "N": "L", "O": "F", "P": "U", "Q": "T", "R": "D", "S": "D", "T": "C", "U": "M", "V": "H", "W": "X", "X": "D"}, "n_symbols": 24, "orbit": ["M", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> C\nA -> J\nU -> M\nG -> E\nE -> H\nV -> H\nI -> B\nX -> D\nR -> D\nM -> N\nJ -> O\nP -> U\nH -> A\nD -> E\nS -> D\nO -> F\nC -> J\nN -> L\nK -> R\nF -> N\nB -> K\nL -> O\nW -> X\nQ -> T\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "N"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "C", "B": "S", "C": "O", "D": "A"}, "depth": 1, "id": "test_d01_00110", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "M", "C": "G", "D": "Q", "E": "W", "F": "U", "G": "C", "H": "I", "I": "N", "J": "K", "K": "O", "L": "G", "M": "I", "N": "U", "O": "S", "P": "P", "Q": "F", "R": "S", "S": "L", "T": "A", "U": "C", "V": "V", "W": "R", "X": "F"}, "n_symbols": 24, "orbit": ["O", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> G\nO -> S\nA -> Q\nH -> I\nN -> U\nF -> U\nG -> C\nR -> S\nI -> N\nT -> A\nX -> F\nD -> Q\nW -> R\nP -> P\nB -> M\nM -> I\nE -> W\nU -> C\nL -> G\nJ -> K\nV -> V\nQ -> F\nK -> O\nS -> L\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "S"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "G", "B": "K", "C": "X", "D": "O"}, "depth": 1, "id": "test_d01_00111", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "M", "C": "G", "D": "R", "E": "C", "F": "V", "G": "F", "H": "G", "I": "L", "J": "K", "K": "M", "L": "J", "M": "T", "N": "R", "O": "A", "P": "R", "Q": "F", "R": "C", "S": "G", "T": "I", "U": "O", "V": "R", "W": "K", "X": "U"}, "n_symbols": 24, "orbit": ["W", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> U\nG -> F\nO -> A\nD -> R\nW -> K\nA -> S\nR -> C\nC -> G\nJ -> K\nQ -> F\nL -> J\nK -> M\nT -> I\nS -> G\nE -> C\nH -> G\nF -> V\nI -> L\nP -> R\nM -> T\nU -> O\nN -> R\nB -> M\nV -> R\n\nStart value: W\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "K"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "J", "B": "W", "C": "B", "D": "X"}, "depth": 1, "id": "test_d01_00112", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "R", "C": "A", "D": "T", "E": "B", "F": "M", "G": "V", "H": "D", "I": "M", "J": "X", "K": "I", "L": "E", "M": "J", "N": "V", "O": "D", "P": "L", "Q": "G", "R": "R", "S": "A", "T": "W", "U": "C", "V": "T", "W": "F", "X": "N"}, "n_symbols": 24, "orbit": ["M", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> R\nJ -> X\nX -> N\nW -> F\nT -> W\nM -> J\nV -> T\nG -> V\nN -> V\nF -> M\nI -> M\nE -> B\nA -> E\nP -> L\nS -> A\nC -> A\nD -> T\nU -> C\nL -> E\nH -> D\nR -> R\nO -> D\nK -> I\nQ -> G\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "C", "B": "G", "C": "E", "D": "A"}, "depth": 1, "id": "test_d01_00113", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "R", "C": "R", "D": "F", "E": "Q", "F": "E", "G": "O", "H": "D", "I": "M", "J": "U", "K": "G", "L": "F", "M": "V", "N": "F", "O": "W", "P": "F", "Q": "E", "R": "J", "S": "F", "T": "C", "U": "R", "V": "O", "W": "F", "X": "N"}, "n_symbols": 24, "orbit": ["K", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> R\nE -> Q\nA -> N\nJ -> U\nU -> R\nG -> O\nT -> C\nI -> M\nM -> V\nH -> D\nR -> J\nQ -> E\nB -> R\nW -> F\nN -> F\nL -> F\nP -> F\nS -> F\nX -> N\nK -> G\nD -> F\nO -> W\nF -> E\nV -> O\n\nStart value: K\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "G"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "O", "B": "J", "C": "A", "D": "H"}, "depth": 1, "id": "test_d01_00114", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "L", "C": "U", "D": "W", "E": "T", "F": "Q", "G": "U", "H": "R", "I": "B", "J": "N", "K": "M", "L": "I", "M": "D", "N": "R", "O": "B", "P": "W", "Q": "E", "R": "T", "S": "D", "T": "O", "U": "G", "V": "J", "W": "S", "X": "L"}, "n_symbols": 24, "orbit": ["V", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> V\nO -> B\nH -> R\nC -> U\nN -> R\nB -> L\nI -> B\nS -> D\nX -> L\nT -> O\nK -> M\nV -> J\nW -> S\nJ -> N\nD -> W\nP -> W\nE -> T\nR -> T\nG -> U\nF -> Q\nQ -> E\nL -> I\nM -> D\nU -> G\n\nStart value: V\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "J"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "U", "B": "F", "C": "N", "D": "W"}, "depth": 1, "id": "test_d01_00115", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "M", "C": "A", "D": "E", "E": "M", "F": "C", "G": "I", "H": "C", "I": "H", "J": "J", "K": "H", "L": "G", "M": "S", "N": "V", "O": "N", "P": "Q", "Q": "C", "R": "L", "S": "O", "T": "A", "U": "L", "V": "W", "W": "H", "X": "V"}, "n_symbols": 24, "orbit": ["O", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> C\nU -> L\nW -> H\nN -> V\nT -> A\nV -> W\nB -> M\nA -> T\nI -> H\nO -> N\nJ -> J\nD -> E\nM -> S\nQ -> C\nX -> V\nG -> I\nK -> H\nR -> L\nP -> Q\nE -> M\nS -> O\nH -> C\nC -> A\nL -> G\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "N"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "F", "B": "Q", "C": "G", "D": "M"}, "depth": 1, "id": "test_d01_00116", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "R", "C": "E", "D": "K", "E": "N", "F": "B", "G": "T", "H": "S", "I": "H", "J": "C", "K": "B", "L": "B", "M": "Q", "N": "C", "O": "A", "P": "S", "Q": "X", "R": "E", "S": "C", "T": "U", "U": "X", "V": "O", "W": "R", "X": "D"}, "n_symbols": 24, "orbit": ["M", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> Q\nG -> T\nF -> B\nR -> E\nT -> U\nS -> C\nE -> N\nO -> A\nJ -> C\nU -> X\nQ -> X\nK -> B\nX -> D\nN -> C\nW -> R\nB -> R\nI -> H\nA -> U\nH -> S\nV -> O\nC -> E\nD -> K\nL -> B\nP -> S\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "Q"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "G", "B": "Q", "C": "S", "D": "O"}, "depth": 1, "id": "test_d01_00117", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "G", "C": "M", "D": "V", "E": "K", "F": "Q", "G": "S", "H": "W", "I": "G", "J": "H", "K": "S", "L": "J", "M": "T", "N": "I", "O": "O", "P": "W", "Q": "V", "R": "S", "S": "J", "T": "E", "U": "E", "V": "T", "W": "L", "X": "B"}, "n_symbols": 24, "orbit": ["K", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> V\nG -> S\nO -> O\nH -> W\nC -> M\nU -> E\nB -> G\nK -> S\nP -> W\nF -> Q\nS -> J\nL -> J\nJ -> H\nD -> V\nR -> S\nM -> T\nE -> K\nX -> B\nI -> G\nA -> E\nV -> T\nW -> L\nT -> E\nN -> I\n\nStart value: K\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "S"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "F", "B": "S", "C": "H", "D": "N"}, "depth": 1, "id": "test_d01_00118", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "R", "C": "M", "D": "G", "E": "E", "F": "W", "G": "H", "H": "E", "I": "A", "J": "M", "K": "R", "L": "L", "M": "F", "N": "K", "O": "X", "P": "E", "Q": "G", "R": "J", "S": "N", "T": "V", "U": "S", "V": "E", "W": "V", "X": "Q"}, "n_symbols": 24, "orbit": ["M", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> K\nH -> E\nS -> N\nQ -> G\nU -> S\nF -> W\nP -> E\nB -> R\nD -> G\nG -> H\nT -> V\nI -> A\nL -> L\nE -> E\nR -> J\nO -> X\nX -> Q\nM -> F\nC -> M\nV -> E\nK -> R\nW -> V\nA -> J\nJ -> M\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "F"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "U", "B": "B", "C": "O", "D": "S"}, "depth": 1, "id": "test_d01_00119", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "D", "C": "L", "D": "I", "E": "X", "F": "V", "G": "E", "H": "L", "I": "B", "J": "M", "K": "C", "L": "W", "M": "V", "N": "P", "O": "E", "P": "N", "Q": "S", "R": "V", "S": "Q", "T": "K", "U": "J", "V": "F", "W": "G", "X": "X"}, "n_symbols": 24, "orbit": ["I", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> J\nS -> Q\nO -> E\nJ -> M\nT -> K\nN -> P\nM -> V\nP -> N\nQ -> S\nH -> L\nL -> W\nV -> F\nK -> C\nE -> X\nW -> G\nG -> E\nF -> V\nA -> B\nR -> V\nC -> L\nD -> I\nB -> D\nX -> X\nI -> B\n\nStart value: I\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "B"}
{"answer": "C", "chain_answer_by_loop": {"1": "C"}, "choices": {"A": "A", "B": "N", "C": "B", "D": "O"}, "depth": 1, "id": "test_d01_00120", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "E", "C": "J", "D": "M", "E": "H", "F": "P", "G": "V", "H": "O", "I": "D", "J": "D", "K": "E", "L": "G", "M": "O", "N": "E", "O": "X", "P": "X", "Q": "T", "R": "X", "S": "B", "T": "X", "U": "D", "V": "B", "W": "Q", "X": "I"}, "n_symbols": 24, "orbit": ["S", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> E\nO -> X\nA -> K\nC -> J\nS -> B\nE -> H\nQ -> T\nR -> X\nK -> E\nH -> O\nX -> I\nU -> D\nD -> M\nV -> B\nB -> E\nT -> X\nP -> X\nI -> D\nW -> Q\nM -> O\nL -> G\nF -> P\nJ -> D\nG -> V\n\nStart value: S\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "B"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "W", "B": "J", "C": "S", "D": "O"}, "depth": 1, "id": "test_d01_00121", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "W", "C": "H", "D": "L", "E": "O", "F": "W", "G": "J", "H": "G", "I": "M", "J": "D", "K": "J", "L": "Q", "M": "E", "N": "G", "O": "A", "P": "H", "Q": "X", "R": "T", "S": "S", "T": "T", "U": "F", "V": "K", "W": "J", "X": "S"}, "n_symbols": 24, "orbit": ["K", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> J\nJ -> D\nS -> S\nO -> A\nN -> G\nG -> J\nL -> Q\nH -> G\nE -> O\nD -> L\nP -> H\nU -> F\nC -> H\nM -> E\nK -> J\nV -> K\nR -> T\nX -> S\nT -> T\nB -> W\nQ -> X\nI -> M\nF -> W\nA -> Q\n\nStart value: K\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "J"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "D", "B": "U", "C": "B", "D": "H"}, "depth": 1, "id": "test_d01_00122", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "E", "C": "L", "D": "A", "E": "S", "F": "M", "G": "M", "H": "A", "I": "I", "J": "M", "K": "G", "L": "H", "M": "M", "N": "H", "O": "D", "P": "K", "Q": "Q", "R": "D", "S": "O", "T": "Q", "U": "S", "V": "K", "W": "I", "X": "G"}, "n_symbols": 24, "orbit": ["O", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> S\nH -> A\nB -> E\nX -> G\nR -> D\nG -> M\nV -> K\nL -> H\nQ -> Q\nS -> O\nP -> K\nW -> I\nD -> A\nI -> I\nK -> G\nC -> L\nF -> M\nE -> S\nA -> F\nJ -> M\nO -> D\nN -> H\nT -> Q\nM -> M\n\nStart value: O\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "T", "B": "U", "C": "B", "D": "F"}, "depth": 1, "id": "test_d01_00123", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "G", "C": "K", "D": "W", "E": "T", "F": "R", "G": "E", "H": "G", "I": "E", "J": "I", "K": "K", "L": "M", "M": "X", "N": "M", "O": "K", "P": "I", "Q": "G", "R": "O", "S": "M", "T": "U", "U": "S", "V": "T", "W": "I", "X": "P"}, "n_symbols": 24, "orbit": ["E", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> G\nU -> S\nF -> R\nL -> M\nM -> X\nG -> E\nH -> G\nC -> K\nR -> O\nI -> E\nQ -> G\nW -> I\nA -> A\nT -> U\nO -> K\nP -> I\nN -> M\nJ -> I\nX -> P\nK -> K\nE -> T\nD -> W\nS -> M\nV -> T\n\nStart value: E\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "A"}, "choices": {"A": "Q", "B": "K", "C": "D", "D": "I"}, "depth": 1, "id": "test_d01_00124", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "C", "C": "O", "D": "Q", "E": "V", "F": "C", "G": "V", "H": "Q", "I": "N", "J": "L", "K": "N", "L": "M", "M": "C", "N": "I", "O": "H", "P": "L", "Q": "W", "R": "O", "S": "T", "T": "U", "U": "S", "V": "T", "W": "H", "X": "B"}, "n_symbols": 24, "orbit": ["D", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> N\nD -> Q\nK -> N\nH -> Q\nN -> I\nW -> H\nV -> T\nC -> O\nO -> H\nJ -> L\nB -> C\nX -> B\nL -> M\nA -> W\nF -> C\nP -> L\nS -> T\nM -> C\nG -> V\nQ -> W\nU -> S\nT -> U\nE -> V\nR -> O\n\nStart value: D\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "D"}, "choices": {"A": "F", "B": "T", "C": "G", "D": "A"}, "depth": 1, "id": "test_d01_00125", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "Q", "C": "N", "D": "J", "E": "T", "F": "X", "G": "J", "H": "J", "I": "U", "J": "J", "K": "O", "L": "J", "M": "A", "N": "A", "O": "N", "P": "F", "Q": "C", "R": "K", "S": "Q", "T": "J", "U": "P", "V": "U", "W": "J", "X": "C"}, "n_symbols": 24, "orbit": ["M", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> X\nT -> J\nG -> J\nR -> K\nC -> N\nW -> J\nI -> U\nU -> P\nD -> J\nX -> C\nN -> A\nB -> Q\nE -> T\nM -> A\nS -> Q\nP -> F\nJ -> J\nL -> J\nV -> U\nO -> N\nH -> J\nK -> O\nA -> X\nQ -> C\n\nStart value: M\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "A"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "A", "B": "N", "C": "D", "D": "S"}, "depth": 1, "id": "test_d01_00126", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "T", "C": "M", "D": "U", "E": "G", "F": "G", "G": "D", "H": "A", "I": "N", "J": "J", "K": "E", "L": "X", "M": "O", "N": "G", "O": "B", "P": "L", "Q": "J", "R": "N", "S": "C", "T": "Q", "U": "N", "V": "X", "W": "D", "X": "J"}, "n_symbols": 24, "orbit": ["I", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> R\nD -> U\nS -> C\nT -> Q\nI -> N\nJ -> J\nL -> X\nX -> J\nO -> B\nC -> M\nH -> A\nN -> G\nU -> N\nQ -> J\nB -> T\nG -> D\nK -> E\nP -> L\nV -> X\nM -> O\nW -> D\nF -> G\nE -> G\nR -> N\n\nStart value: I\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "N"}
{"answer": "B", "chain_answer_by_loop": {"1": "B"}, "choices": {"A": "J", "B": "U", "C": "G", "D": "B"}, "depth": 1, "id": "test_d01_00127", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "B", "C": "M", "D": "X", "E": "O", "F": "U", "G": "W", "H": "E", "I": "T", "J": "B", "K": "M", "L": "H", "M": "R", "N": "M", "O": "F", "P": "N", "Q": "D", "R": "P", "S": "D", "T": "B", "U": "J", "V": "W", "W": "I", "X": "I"}, "n_symbols": 24, "orbit": ["F", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> B\nG -> W\nB -> B\nW -> I\nD -> X\nU -> J\nK -> M\nI -> T\nP -> N\nT -> B\nV -> W\nR -> P\nA -> R\nX -> I\nS -> D\nN -> M\nM -> R\nL -> H\nH -> E\nE -> O\nO -> F\nQ -> D\nC -> M\nF -> U\n\nStart value: F\nApply f exactly 1 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "A", "B": "D", "C": "N", "D": "C"}, "depth": 2, "id": "test_d02_00000", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "P", "C": "D", "D": "R", "E": "V", "F": "A", "G": "M", "H": "T", "I": "G", "J": "W", "K": "N", "L": "K", "M": "J", "N": "H", "O": "I", "P": "J", "Q": "V", "R": "B", "S": "I", "T": "H", "U": "K", "V": "T", "W": "P", "X": "G"}, "n_symbols": 24, "orbit": ["F", "A", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> R\nC -> D\nP -> J\nU -> K\nG -> M\nT -> H\nO -> I\nB -> P\nS -> I\nV -> T\nN -> H\nA -> N\nM -> J\nK -> N\nF -> A\nE -> V\nJ -> W\nI -> G\nL -> K\nQ -> V\nW -> P\nH -> T\nR -> B\nX -> G\n\nStart value: F\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "D", "B": "C", "C": "F", "D": "N"}, "depth": 2, "id": "test_d02_00001", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "F", "C": "D", "D": "T", "E": "O", "F": "J", "G": "X", "H": "N", "I": "D", "J": "H", "K": "C", "L": "A", "M": "R", "N": "O", "O": "W", "P": "R", "Q": "C", "R": "E", "S": "B", "T": "J", "U": "A", "V": "L", "W": "N", "X": "W"}, "n_symbols": 24, "orbit": ["K", "C", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> J\nN -> O\nL -> A\nW -> N\nH -> N\nA -> S\nG -> X\nU -> A\nI -> D\nT -> J\nR -> E\nD -> T\nK -> C\nE -> O\nM -> R\nX -> W\nB -> F\nS -> B\nV -> L\nQ -> C\nC -> D\nO -> W\nP -> R\nJ -> H\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "D"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "W", "B": "S", "C": "X", "D": "F"}, "depth": 2, "id": "test_d02_00002", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "M", "C": "T", "D": "A", "E": "Q", "F": "E", "G": "J", "H": "J", "I": "G", "J": "X", "K": "S", "L": "P", "M": "M", "N": "R", "O": "P", "P": "U", "Q": "F", "R": "Q", "S": "X", "T": "A", "U": "S", "V": "E", "W": "S", "X": "R"}, "n_symbols": 24, "orbit": ["U", "S", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> E\nW -> S\nT -> A\nJ -> X\nH -> J\nV -> E\nE -> Q\nP -> U\nO -> P\nK -> S\nI -> G\nU -> S\nN -> R\nM -> M\nQ -> F\nC -> T\nX -> R\nR -> Q\nD -> A\nA -> N\nB -> M\nG -> J\nS -> X\nL -> P\n\nStart value: U\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "X"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "J", "B": "G", "C": "D", "D": "W"}, "depth": 2, "id": "test_d02_00003", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "V", "C": "C", "D": "K", "E": "I", "F": "M", "G": "T", "H": "X", "I": "J", "J": "W", "K": "O", "L": "U", "M": "S", "N": "P", "O": "R", "P": "F", "Q": "N", "R": "W", "S": "F", "T": "J", "U": "E", "V": "R", "W": "L", "X": "S"}, "n_symbols": 24, "orbit": ["I", "J", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> T\nD -> K\nR -> W\nH -> X\nJ -> W\nI -> J\nL -> U\nV -> R\nU -> E\nE -> I\nA -> M\nT -> J\nF -> M\nM -> S\nX -> S\nK -> O\nQ -> N\nC -> C\nP -> F\nS -> F\nW -> L\nN -> P\nO -> R\nB -> V\n\nStart value: I\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "A", "B": "O", "C": "M", "D": "B"}, "depth": 2, "id": "test_d02_00004", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "K", "C": "T", "D": "B", "E": "G", "F": "H", "G": "R", "H": "M", "I": "O", "J": "S", "K": "A", "L": "Q", "M": "X", "N": "U", "O": "A", "P": "Q", "Q": "A", "R": "B", "S": "L", "T": "E", "U": "N", "V": "S", "W": "J", "X": "T"}, "n_symbols": 24, "orbit": ["I", "O", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> X\nA -> A\nB -> K\nX -> T\nD -> B\nE -> G\nG -> R\nH -> M\nU -> N\nS -> L\nC -> T\nI -> O\nK -> A\nN -> U\nP -> Q\nR -> B\nJ -> S\nV -> S\nF -> H\nT -> E\nO -> A\nW -> J\nQ -> A\nL -> Q\n\nStart value: I\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "S", "B": "G", "C": "T", "D": "O"}, "depth": 2, "id": "test_d02_00005", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "W", "C": "J", "D": "H", "E": "G", "F": "K", "G": "T", "H": "T", "I": "J", "J": "G", "K": "E", "L": "R", "M": "B", "N": "C", "O": "S", "P": "U", "Q": "G", "R": "I", "S": "W", "T": "F", "U": "J", "V": "L", "W": "X", "X": "G"}, "n_symbols": 24, "orbit": ["E", "G", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> S\nS -> W\nT -> F\nG -> T\nA -> K\nR -> I\nW -> X\nV -> L\nM -> B\nX -> G\nF -> K\nQ -> G\nE -> G\nJ -> G\nL -> R\nU -> J\nH -> T\nB -> W\nD -> H\nI -> J\nC -> J\nN -> C\nK -> E\nP -> U\n\nStart value: E\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "X", "B": "B", "C": "K", "D": "P"}, "depth": 2, "id": "test_d02_00006", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "F", "C": "U", "D": "D", "E": "M", "F": "J", "G": "B", "H": "A", "I": "B", "J": "U", "K": "I", "L": "V", "M": "U", "N": "P", "O": "G", "P": "K", "Q": "I", "R": "E", "S": "E", "T": "P", "U": "F", "V": "I", "W": "L", "X": "V"}, "n_symbols": 24, "orbit": ["N", "P", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> K\nX -> V\nB -> F\nD -> D\nV -> I\nM -> U\nO -> G\nI -> B\nL -> V\nW -> L\nT -> P\nN -> P\nE -> M\nR -> E\nA -> C\nH -> A\nF -> J\nG -> B\nC -> U\nQ -> I\nK -> I\nS -> E\nJ -> U\nU -> F\n\nStart value: N\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "K"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "R", "B": "H", "C": "G", "D": "N"}, "depth": 2, "id": "test_d02_00007", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "V", "C": "E", "D": "G", "E": "R", "F": "Q", "G": "R", "H": "S", "I": "P", "J": "Q", "K": "K", "L": "N", "M": "O", "N": "G", "O": "O", "P": "T", "Q": "Q", "R": "M", "S": "J", "T": "L", "U": "N", "V": "X", "W": "C", "X": "E"}, "n_symbols": 24, "orbit": ["D", "G", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> G\nH -> S\nI -> P\nJ -> Q\nA -> C\nE -> R\nX -> E\nU -> N\nD -> G\nV -> X\nG -> R\nK -> K\nC -> E\nS -> J\nB -> V\nW -> C\nM -> O\nR -> M\nT -> L\nQ -> Q\nF -> Q\nO -> O\nL -> N\nP -> T\n\nStart value: D\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "R"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "F", "B": "P", "C": "K", "D": "O"}, "depth": 2, "id": "test_d02_00008", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "N", "C": "S", "D": "A", "E": "E", "F": "P", "G": "H", "H": "M", "I": "J", "J": "X", "K": "E", "L": "E", "M": "U", "N": "S", "O": "K", "P": "J", "Q": "Q", "R": "F", "S": "F", "T": "L", "U": "B", "V": "E", "W": "E", "X": "G"}, "n_symbols": 24, "orbit": ["S", "F", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> K\nK -> E\nI -> J\nL -> E\nM -> U\nA -> W\nF -> P\nU -> B\nW -> E\nR -> F\nS -> F\nG -> H\nX -> G\nH -> M\nT -> L\nJ -> X\nE -> E\nV -> E\nN -> S\nD -> A\nQ -> Q\nC -> S\nP -> J\nB -> N\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "C", "B": "M", "C": "U", "D": "X"}, "depth": 2, "id": "test_d02_00009", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "P", "C": "O", "D": "M", "E": "I", "F": "A", "G": "B", "H": "H", "I": "G", "J": "X", "K": "U", "L": "O", "M": "U", "N": "V", "O": "N", "P": "D", "Q": "P", "R": "S", "S": "E", "T": "D", "U": "S", "V": "L", "W": "U", "X": "F"}, "n_symbols": 24, "orbit": ["D", "M", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> F\nC -> O\nR -> S\nI -> G\nS -> E\nV -> L\nF -> A\nU -> S\nL -> O\nQ -> P\nT -> D\nB -> P\nN -> V\nA -> V\nG -> B\nD -> M\nM -> U\nJ -> X\nK -> U\nE -> I\nH -> H\nW -> U\nO -> N\nP -> D\n\nStart value: D\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "B", "B": "L", "C": "J", "D": "I"}, "depth": 2, "id": "test_d02_00010", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "N", "C": "Q", "D": "Q", "E": "F", "F": "X", "G": "L", "H": "S", "I": "J", "J": "H", "K": "F", "L": "V", "M": "F", "N": "W", "O": "B", "P": "M", "Q": "I", "R": "S", "S": "E", "T": "L", "U": "K", "V": "U", "W": "K", "X": "X"}, "n_symbols": 24, "orbit": ["Q", "I", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> V\nB -> N\nC -> Q\nF -> X\nM -> F\nQ -> I\nH -> S\nI -> J\nT -> L\nA -> A\nU -> K\nR -> S\nJ -> H\nG -> L\nO -> B\nD -> Q\nN -> W\nS -> E\nP -> M\nW -> K\nV -> U\nK -> F\nX -> X\nE -> F\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "I", "B": "G", "C": "J", "D": "Q"}, "depth": 2, "id": "test_d02_00011", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "N", "C": "C", "D": "J", "E": "U", "F": "A", "G": "L", "H": "M", "I": "A", "J": "G", "K": "M", "L": "H", "M": "H", "N": "G", "O": "J", "P": "X", "Q": "A", "R": "A", "S": "R", "T": "T", "U": "R", "V": "B", "W": "A", "X": "V"}, "n_symbols": 24, "orbit": ["O", "J", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> A\nI -> A\nJ -> G\nP -> X\nO -> J\nN -> G\nE -> U\nW -> A\nU -> R\nA -> S\nD -> J\nH -> M\nG -> L\nM -> H\nB -> N\nS -> R\nT -> T\nC -> C\nR -> A\nK -> M\nV -> B\nX -> V\nF -> A\nL -> H\n\nStart value: O\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "G"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "Q", "B": "I", "C": "K", "D": "B"}, "depth": 2, "id": "test_d02_00012", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "I", "C": "C", "D": "G", "E": "B", "F": "O", "G": "J", "H": "B", "I": "W", "J": "I", "K": "B", "L": "J", "M": "J", "N": "C", "O": "P", "P": "I", "Q": "J", "R": "S", "S": "C", "T": "B", "U": "U", "V": "R", "W": "B", "X": "D"}, "n_symbols": 24, "orbit": ["T", "B", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> B\nQ -> J\nF -> O\nJ -> I\nV -> R\nD -> G\nS -> C\nP -> I\nC -> C\nA -> W\nW -> B\nE -> B\nU -> U\nB -> I\nG -> J\nN -> C\nT -> B\nI -> W\nH -> B\nX -> D\nL -> J\nO -> P\nR -> S\nM -> J\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "D"}, "choices": {"A": "J", "B": "M", "C": "W", "D": "X"}, "depth": 2, "id": "test_d02_00013", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "K", "C": "M", "D": "R", "E": "P", "F": "V", "G": "O", "H": "R", "I": "C", "J": "R", "K": "F", "L": "N", "M": "X", "N": "P", "O": "K", "P": "S", "Q": "G", "R": "X", "S": "M", "T": "M", "U": "M", "V": "J", "W": "X", "X": "W"}, "n_symbols": 24, "orbit": ["T", "M", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> X\nJ -> R\nC -> M\nL -> N\nU -> M\nR -> X\nG -> O\nM -> X\nT -> M\nK -> F\nV -> J\nH -> R\nE -> P\nD -> R\nX -> W\nQ -> G\nF -> V\nI -> C\nA -> V\nO -> K\nP -> S\nN -> P\nS -> M\nB -> K\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "F", "B": "J", "C": "I", "D": "B"}, "depth": 2, "id": "test_d02_00014", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "N", "C": "J", "D": "P", "E": "A", "F": "C", "G": "K", "H": "I", "I": "R", "J": "I", "K": "E", "L": "X", "M": "U", "N": "H", "O": "F", "P": "H", "Q": "R", "R": "V", "S": "E", "T": "U", "U": "J", "V": "P", "W": "L", "X": "M"}, "n_symbols": 24, "orbit": ["C", "J", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> C\nB -> N\nK -> E\nJ -> I\nE -> A\nL -> X\nH -> I\nR -> V\nV -> P\nQ -> R\nC -> J\nS -> E\nM -> U\nG -> K\nU -> J\nO -> F\nT -> U\nA -> H\nN -> H\nX -> M\nP -> H\nD -> P\nW -> L\nI -> R\n\nStart value: C\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "I"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "K", "B": "B", "C": "S", "D": "R"}, "depth": 2, "id": "test_d02_00015", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "I", "C": "T", "D": "R", "E": "F", "F": "H", "G": "K", "H": "L", "I": "V", "J": "B", "K": "S", "L": "J", "M": "P", "N": "I", "O": "M", "P": "H", "Q": "X", "R": "L", "S": "E", "T": "B", "U": "T", "V": "L", "W": "X", "X": "K"}, "n_symbols": 24, "orbit": ["A", "K", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> I\nS -> E\nR -> L\nO -> M\nP -> H\nD -> R\nA -> K\nX -> K\nI -> V\nG -> K\nQ -> X\nF -> H\nN -> I\nU -> T\nC -> T\nV -> L\nM -> P\nH -> L\nJ -> B\nK -> S\nT -> B\nE -> F\nW -> X\nL -> J\n\nStart value: A\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "S"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "O", "B": "H", "C": "Q", "D": "I"}, "depth": 2, "id": "test_d02_00016", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "I", "C": "B", "D": "L", "E": "N", "F": "X", "G": "U", "H": "Q", "I": "R", "J": "H", "K": "I", "L": "I", "M": "L", "N": "V", "O": "H", "P": "D", "Q": "W", "R": "X", "S": "C", "T": "G", "U": "W", "V": "J", "W": "T", "X": "N"}, "n_symbols": 24, "orbit": ["O", "H", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> H\nQ -> W\nI -> R\nD -> L\nB -> I\nE -> N\nP -> D\nG -> U\nH -> Q\nF -> X\nS -> C\nU -> W\nX -> N\nC -> B\nT -> G\nM -> L\nN -> V\nJ -> H\nR -> X\nW -> T\nV -> J\nA -> W\nL -> I\nK -> I\n\nStart value: O\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "S", "B": "M", "C": "W", "D": "E"}, "depth": 2, "id": "test_d02_00017", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "W", "C": "O", "D": "H", "E": "E", "F": "M", "G": "E", "H": "G", "I": "M", "J": "C", "K": "J", "L": "M", "M": "S", "N": "M", "O": "P", "P": "C", "Q": "D", "R": "P", "S": "S", "T": "A", "U": "H", "V": "U", "W": "H", "X": "X"}, "n_symbols": 24, "orbit": ["L", "M", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> E\nW -> H\nB -> W\nG -> E\nV -> U\nT -> A\nU -> H\nX -> X\nO -> P\nR -> P\nF -> M\nL -> M\nD -> H\nC -> O\nS -> S\nA -> N\nJ -> C\nQ -> D\nM -> S\nN -> M\nP -> C\nK -> J\nI -> M\nH -> G\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "S"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "U", "B": "L", "C": "N", "D": "K"}, "depth": 2, "id": "test_d02_00018", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "L", "C": "O", "D": "B", "E": "J", "F": "D", "G": "R", "H": "L", "I": "P", "J": "Q", "K": "V", "L": "B", "M": "G", "N": "K", "O": "T", "P": "J", "Q": "W", "R": "C", "S": "H", "T": "O", "U": "N", "V": "S", "W": "I", "X": "N"}, "n_symbols": 24, "orbit": ["U", "N", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> B\nU -> N\nV -> S\nP -> J\nE -> J\nA -> K\nS -> H\nX -> N\nD -> B\nH -> L\nB -> L\nN -> K\nG -> R\nQ -> W\nM -> G\nF -> D\nO -> T\nJ -> Q\nK -> V\nR -> C\nI -> P\nT -> O\nC -> O\nW -> I\n\nStart value: U\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "K"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "E", "B": "I", "C": "U", "D": "T"}, "depth": 2, "id": "test_d02_00019", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "T", "C": "L", "D": "B", "E": "I", "F": "B", "G": "L", "H": "E", "I": "W", "J": "E", "K": "G", "L": "S", "M": "D", "N": "C", "O": "P", "P": "K", "Q": "A", "R": "X", "S": "A", "T": "O", "U": "B", "V": "O", "W": "T", "X": "T"}, "n_symbols": 24, "orbit": ["H", "E", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> B\nT -> O\nL -> S\nV -> O\nR -> X\nO -> P\nQ -> A\nF -> B\nB -> T\nE -> I\nD -> B\nS -> A\nN -> C\nI -> W\nP -> K\nJ -> E\nA -> T\nX -> T\nW -> T\nK -> G\nM -> D\nG -> L\nH -> E\nC -> L\n\nStart value: H\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "I"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "B", "B": "U", "C": "C", "D": "N"}, "depth": 2, "id": "test_d02_00020", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "I", "C": "T", "D": "U", "E": "F", "F": "V", "G": "F", "H": "P", "I": "R", "J": "T", "K": "T", "L": "S", "M": "Q", "N": "A", "O": "V", "P": "U", "Q": "S", "R": "U", "S": "B", "T": "F", "U": "C", "V": "R", "W": "V", "X": "N"}, "n_symbols": 24, "orbit": ["P", "U", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> I\nU -> C\nN -> A\nD -> U\nE -> F\nQ -> S\nW -> V\nC -> T\nP -> U\nT -> F\nG -> F\nI -> R\nA -> J\nR -> U\nK -> T\nO -> V\nM -> Q\nS -> B\nX -> N\nL -> S\nV -> R\nH -> P\nF -> V\nJ -> T\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "C"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "W", "B": "F", "C": "Q", "D": "E"}, "depth": 2, "id": "test_d02_00021", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "L", "C": "A", "D": "C", "E": "P", "F": "W", "G": "L", "H": "G", "I": "G", "J": "S", "K": "H", "L": "C", "M": "O", "N": "G", "O": "D", "P": "A", "Q": "H", "R": "F", "S": "W", "T": "J", "U": "U", "V": "U", "W": "F", "X": "J"}, "n_symbols": 24, "orbit": ["R", "F", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> P\nQ -> H\nU -> U\nX -> J\nF -> W\nG -> L\nW -> F\nL -> C\nK -> H\nM -> O\nS -> W\nC -> A\nT -> J\nR -> F\nI -> G\nV -> U\nN -> G\nA -> O\nO -> D\nP -> A\nH -> G\nJ -> S\nD -> C\nB -> L\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "E", "B": "A", "C": "S", "D": "F"}, "depth": 2, "id": "test_d02_00022", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "C", "C": "N", "D": "C", "E": "D", "F": "E", "G": "I", "H": "F", "I": "W", "J": "U", "K": "O", "L": "V", "M": "A", "N": "T", "O": "J", "P": "R", "Q": "X", "R": "X", "S": "E", "T": "J", "U": "Q", "V": "D", "W": "V", "X": "N"}, "n_symbols": 24, "orbit": ["M", "A", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> E\nF -> E\nU -> Q\nO -> J\nX -> N\nA -> E\nH -> F\nJ -> U\nG -> I\nL -> V\nT -> J\nR -> X\nE -> D\nK -> O\nQ -> X\nW -> V\nV -> D\nD -> C\nP -> R\nC -> N\nM -> A\nB -> C\nI -> W\nN -> T\n\nStart value: M\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "E"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "V", "B": "F", "C": "U", "D": "N"}, "depth": 2, "id": "test_d02_00023", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "V", "C": "F", "D": "G", "E": "T", "F": "V", "G": "N", "H": "H", "I": "D", "J": "M", "K": "W", "L": "V", "M": "I", "N": "W", "O": "F", "P": "B", "Q": "M", "R": "L", "S": "F", "T": "K", "U": "Q", "V": "N", "W": "I", "X": "K"}, "n_symbols": 24, "orbit": ["F", "V", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> V\nU -> Q\nQ -> M\nJ -> M\nC -> F\nA -> G\nW -> I\nE -> T\nB -> V\nL -> V\nX -> K\nS -> F\nT -> K\nK -> W\nO -> F\nM -> I\nH -> H\nD -> G\nG -> N\nV -> N\nR -> L\nI -> D\nN -> W\nP -> B\n\nStart value: F\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "W", "B": "P", "C": "X", "D": "L"}, "depth": 2, "id": "test_d02_00024", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "M", "C": "E", "D": "D", "E": "R", "F": "V", "G": "M", "H": "A", "I": "N", "J": "L", "K": "F", "L": "N", "M": "B", "N": "W", "O": "T", "P": "Q", "Q": "D", "R": "W", "S": "C", "T": "H", "U": "D", "V": "M", "W": "L", "X": "R"}, "n_symbols": 24, "orbit": ["N", "W", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> Q\nX -> R\nE -> R\nT -> H\nB -> M\nD -> D\nS -> C\nQ -> D\nI -> N\nH -> A\nF -> V\nV -> M\nJ -> L\nG -> M\nN -> W\nA -> M\nR -> W\nO -> T\nC -> E\nM -> B\nW -> L\nL -> N\nK -> F\nU -> D\n\nStart value: N\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "L"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "X", "B": "G", "C": "I", "D": "J"}, "depth": 2, "id": "test_d02_00025", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "Q", "C": "C", "D": "H", "E": "L", "F": "V", "G": "I", "H": "I", "I": "P", "J": "L", "K": "N", "L": "N", "M": "K", "N": "W", "O": "U", "P": "V", "Q": "O", "R": "G", "S": "L", "T": "J", "U": "E", "V": "F", "W": "M", "X": "O"}, "n_symbols": 24, "orbit": ["R", "G", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> L\nX -> O\nL -> N\nW -> M\nC -> C\nB -> Q\nA -> A\nI -> P\nF -> V\nP -> V\nQ -> O\nR -> G\nG -> I\nN -> W\nT -> J\nV -> F\nK -> N\nE -> L\nO -> U\nM -> K\nD -> H\nH -> I\nS -> L\nU -> E\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "I"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "F", "B": "L", "C": "A", "D": "T"}, "depth": 2, "id": "test_d02_00026", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "F", "C": "N", "D": "X", "E": "O", "F": "L", "G": "M", "H": "K", "I": "A", "J": "A", "K": "C", "L": "B", "M": "W", "N": "U", "O": "U", "P": "E", "Q": "J", "R": "O", "S": "F", "T": "Q", "U": "F", "V": "J", "W": "B", "X": "R"}, "n_symbols": 24, "orbit": ["U", "F", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> Q\nL -> B\nA -> B\nR -> O\nJ -> A\nN -> U\nD -> X\nB -> F\nE -> O\nS -> F\nX -> R\nK -> C\nU -> F\nF -> L\nW -> B\nO -> U\nG -> M\nV -> J\nC -> N\nM -> W\nI -> A\nQ -> J\nP -> E\nH -> K\n\nStart value: U\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "L"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "U", "B": "H", "C": "B", "D": "E"}, "depth": 2, "id": "test_d02_00027", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "S", "C": "W", "D": "U", "E": "M", "F": "R", "G": "B", "H": "J", "I": "P", "J": "S", "K": "P", "L": "N", "M": "B", "N": "J", "O": "F", "P": "G", "Q": "T", "R": "J", "S": "N", "T": "D", "U": "E", "V": "H", "W": "S", "X": "M"}, "n_symbols": 24, "orbit": ["D", "U", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> S\nH -> J\nN -> J\nU -> E\nR -> J\nO -> F\nS -> N\nE -> M\nA -> N\nQ -> T\nL -> N\nX -> M\nF -> R\nM -> B\nP -> G\nD -> U\nI -> P\nW -> S\nT -> D\nC -> W\nV -> H\nK -> P\nG -> B\nJ -> S\n\nStart value: D\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "E"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "X", "B": "J", "C": "E", "D": "R"}, "depth": 2, "id": "test_d02_00028", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "R", "C": "N", "D": "B", "E": "Q", "F": "B", "G": "P", "H": "J", "I": "H", "J": "S", "K": "X", "L": "K", "M": "G", "N": "I", "O": "A", "P": "I", "Q": "T", "R": "E", "S": "F", "T": "T", "U": "X", "V": "C", "W": "P", "X": "R"}, "n_symbols": 24, "orbit": ["X", "R", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> R\nJ -> S\nW -> P\nK -> X\nC -> N\nL -> K\nH -> J\nB -> R\nR -> E\nM -> G\nD -> B\nV -> C\nT -> T\nG -> P\nO -> A\nA -> D\nN -> I\nF -> B\nS -> F\nP -> I\nU -> X\nQ -> T\nE -> Q\nI -> H\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "E"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "L", "B": "Q", "C": "M", "D": "H"}, "depth": 2, "id": "test_d02_00029", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "K", "C": "B", "D": "P", "E": "W", "F": "Q", "G": "A", "H": "M", "I": "W", "J": "F", "K": "M", "L": "O", "M": "L", "N": "H", "O": "B", "P": "X", "Q": "K", "R": "E", "S": "R", "T": "M", "U": "X", "V": "S", "W": "A", "X": "E"}, "n_symbols": 24, "orbit": ["T", "M", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> M\nQ -> K\nC -> B\nK -> M\nA -> B\nD -> P\nN -> H\nX -> E\nI -> W\nL -> O\nE -> W\nT -> M\nM -> L\nR -> E\nP -> X\nS -> R\nV -> S\nW -> A\nO -> B\nB -> K\nG -> A\nJ -> F\nU -> X\nF -> Q\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "E", "B": "V", "C": "G", "D": "T"}, "depth": 2, "id": "test_d02_00030", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "J", "C": "T", "D": "K", "E": "K", "F": "P", "G": "O", "H": "A", "I": "J", "J": "O", "K": "U", "L": "M", "M": "L", "N": "I", "O": "O", "P": "L", "Q": "L", "R": "S", "S": "S", "T": "V", "U": "R", "V": "L", "W": "U", "X": "N"}, "n_symbols": 24, "orbit": ["C", "T", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> K\nG -> O\nD -> K\nW -> U\nV -> L\nT -> V\nA -> P\nF -> P\nM -> L\nJ -> O\nO -> O\nX -> N\nC -> T\nP -> L\nR -> S\nI -> J\nB -> J\nH -> A\nN -> I\nU -> R\nK -> U\nQ -> L\nS -> S\nL -> M\n\nStart value: C\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "V"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "L", "B": "N", "C": "F", "D": "W"}, "depth": 2, "id": "test_d02_00031", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "M", "C": "T", "D": "B", "E": "J", "F": "W", "G": "X", "H": "W", "I": "O", "J": "F", "K": "H", "L": "F", "M": "N", "N": "L", "O": "R", "P": "N", "Q": "Q", "R": "O", "S": "T", "T": "R", "U": "F", "V": "L", "W": "I", "X": "K"}, "n_symbols": 24, "orbit": ["L", "F", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> L\nL -> F\nM -> N\nC -> T\nP -> N\nV -> L\nX -> K\nO -> R\nU -> F\nB -> M\nD -> B\nF -> W\nA -> U\nS -> T\nG -> X\nI -> O\nJ -> F\nH -> W\nT -> R\nE -> J\nR -> O\nW -> I\nQ -> Q\nK -> H\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "W"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "F", "B": "S", "C": "R", "D": "B"}, "depth": 2, "id": "test_d02_00032", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "B", "C": "O", "D": "C", "E": "X", "F": "R", "G": "U", "H": "D", "I": "M", "J": "D", "K": "G", "L": "J", "M": "G", "N": "T", "O": "M", "P": "E", "Q": "C", "R": "D", "S": "K", "T": "O", "U": "O", "V": "P", "W": "F", "X": "F"}, "n_symbols": 24, "orbit": ["X", "F", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> B\nS -> K\nD -> C\nL -> J\nN -> T\nR -> D\nF -> R\nH -> D\nM -> G\nA -> K\nX -> F\nK -> G\nP -> E\nJ -> D\nV -> P\nI -> M\nU -> O\nG -> U\nQ -> C\nW -> F\nO -> M\nT -> O\nE -> X\nC -> O\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "R"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "C", "B": "H", "C": "I", "D": "R"}, "depth": 2, "id": "test_d02_00033", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "O", "C": "P", "D": "L", "E": "I", "F": "G", "G": "M", "H": "W", "I": "J", "J": "F", "K": "B", "L": "X", "M": "R", "N": "V", "O": "R", "P": "T", "Q": "E", "R": "I", "S": "G", "T": "U", "U": "D", "V": "W", "W": "O", "X": "H"}, "n_symbols": 24, "orbit": ["M", "R", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> I\nC -> P\nH -> W\nU -> D\nF -> G\nB -> O\nN -> V\nG -> M\nV -> W\nW -> O\nT -> U\nK -> B\nA -> O\nO -> R\nD -> L\nE -> I\nP -> T\nJ -> F\nI -> J\nS -> G\nM -> R\nX -> H\nL -> X\nQ -> E\n\nStart value: M\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "I"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "M", "B": "J", "C": "E", "D": "L"}, "depth": 2, "id": "test_d02_00034", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "C", "C": "L", "D": "U", "E": "V", "F": "R", "G": "V", "H": "J", "I": "P", "J": "H", "K": "H", "L": "E", "M": "Q", "N": "D", "O": "J", "P": "Q", "Q": "L", "R": "C", "S": "S", "T": "J", "U": "Q", "V": "F", "W": "N", "X": "L"}, "n_symbols": 24, "orbit": ["Q", "L", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> H\nM -> Q\nA -> P\nT -> J\nI -> P\nP -> Q\nR -> C\nF -> R\nO -> J\nD -> U\nS -> S\nQ -> L\nL -> E\nU -> Q\nX -> L\nB -> C\nV -> F\nH -> J\nE -> V\nG -> V\nC -> L\nN -> D\nK -> H\nW -> N\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "E"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "T", "B": "J", "C": "O", "D": "K"}, "depth": 2, "id": "test_d02_00035", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "U", "C": "D", "D": "U", "E": "C", "F": "R", "G": "D", "H": "J", "I": "O", "J": "O", "K": "D", "L": "Q", "M": "N", "N": "E", "O": "S", "P": "D", "Q": "S", "R": "V", "S": "X", "T": "L", "U": "G", "V": "I", "W": "V", "X": "X"}, "n_symbols": 24, "orbit": ["H", "J", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> O\nK -> D\nT -> L\nM -> N\nP -> D\nF -> R\nV -> I\nE -> C\nC -> D\nB -> U\nD -> U\nI -> O\nQ -> S\nG -> D\nW -> V\nO -> S\nS -> X\nR -> V\nL -> Q\nU -> G\nX -> X\nA -> F\nH -> J\nN -> E\n\nStart value: H\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "O"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "I", "B": "M", "C": "S", "D": "W"}, "depth": 2, "id": "test_d02_00036", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "D", "C": "P", "D": "H", "E": "O", "F": "R", "G": "Q", "H": "W", "I": "F", "J": "D", "K": "K", "L": "L", "M": "T", "N": "X", "O": "S", "P": "S", "Q": "A", "R": "Q", "S": "W", "T": "C", "U": "R", "V": "A", "W": "L", "X": "T"}, "n_symbols": 24, "orbit": ["P", "S", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> T\nI -> F\nP -> S\nA -> G\nE -> O\nU -> R\nC -> P\nJ -> D\nO -> S\nT -> C\nF -> R\nB -> D\nX -> T\nW -> L\nK -> K\nR -> Q\nN -> X\nL -> L\nD -> H\nG -> Q\nS -> W\nH -> W\nV -> A\nQ -> A\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "A"}, "choices": {"A": "J", "B": "X", "C": "V", "D": "C"}, "depth": 2, "id": "test_d02_00037", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "C", "C": "J", "D": "T", "E": "P", "F": "M", "G": "N", "H": "J", "I": "D", "J": "T", "K": "J", "L": "X", "M": "G", "N": "U", "O": "V", "P": "B", "Q": "D", "R": "W", "S": "J", "T": "D", "U": "A", "V": "J", "W": "L", "X": "J"}, "n_symbols": 24, "orbit": ["B", "C", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> J\nJ -> T\nV -> J\nI -> D\nS -> J\nD -> T\nB -> C\nW -> L\nT -> D\nL -> X\nQ -> D\nR -> W\nH -> J\nG -> N\nM -> G\nO -> V\nA -> V\nN -> U\nE -> P\nC -> J\nP -> B\nK -> J\nU -> A\nF -> M\n\nStart value: B\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "J"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "C", "B": "W", "C": "F", "D": "O"}, "depth": 2, "id": "test_d02_00038", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "K", "C": "V", "D": "C", "E": "U", "F": "O", "G": "T", "H": "O", "I": "O", "J": "M", "K": "K", "L": "T", "M": "N", "N": "P", "O": "D", "P": "B", "Q": "S", "R": "F", "S": "O", "T": "E", "U": "N", "V": "C", "W": "T", "X": "I"}, "n_symbols": 24, "orbit": ["R", "F", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> V\nW -> T\nJ -> M\nA -> T\nX -> I\nF -> O\nD -> C\nK -> K\nP -> B\nL -> T\nV -> C\nU -> N\nE -> U\nN -> P\nB -> K\nM -> N\nQ -> S\nH -> O\nG -> T\nO -> D\nR -> F\nS -> O\nI -> O\nT -> E\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "O"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "R", "B": "O", "C": "L", "D": "V"}, "depth": 2, "id": "test_d02_00039", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "W", "C": "F", "D": "R", "E": "C", "F": "M", "G": "S", "H": "Q", "I": "G", "J": "O", "K": "M", "L": "A", "M": "D", "N": "M", "O": "F", "P": "P", "Q": "E", "R": "V", "S": "K", "T": "V", "U": "T", "V": "J", "W": "K", "X": "A"}, "n_symbols": 24, "orbit": ["D", "R", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> F\nL -> A\nI -> G\nQ -> E\nW -> K\nT -> V\nV -> J\nJ -> O\nD -> R\nF -> M\nK -> M\nC -> F\nH -> Q\nG -> S\nA -> W\nB -> W\nE -> C\nU -> T\nX -> A\nP -> P\nM -> D\nS -> K\nN -> M\nR -> V\n\nStart value: D\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "H", "B": "C", "C": "F", "D": "Q"}, "depth": 2, "id": "test_d02_00040", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "B", "C": "B", "D": "V", "E": "H", "F": "U", "G": "X", "H": "F", "I": "F", "J": "U", "K": "E", "L": "E", "M": "O", "N": "D", "O": "V", "P": "E", "Q": "D", "R": "J", "S": "O", "T": "O", "U": "I", "V": "U", "W": "H", "X": "G"}, "n_symbols": 24, "orbit": ["W", "H", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> B\nQ -> D\nV -> U\nB -> B\nS -> O\nD -> V\nJ -> U\nW -> H\nI -> F\nL -> E\nH -> F\nN -> D\nT -> O\nR -> J\nX -> G\nU -> I\nK -> E\nG -> X\nP -> E\nM -> O\nO -> V\nE -> H\nA -> M\nF -> U\n\nStart value: W\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "F"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "D", "B": "I", "C": "E", "D": "K"}, "depth": 2, "id": "test_d02_00041", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "J", "C": "S", "D": "G", "E": "K", "F": "E", "G": "S", "H": "M", "I": "E", "J": "C", "K": "M", "L": "E", "M": "O", "N": "D", "O": "R", "P": "V", "Q": "K", "R": "M", "S": "C", "T": "G", "U": "J", "V": "L", "W": "S", "X": "P"}, "n_symbols": 24, "orbit": ["I", "E", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> G\nI -> E\nO -> R\nB -> J\nF -> E\nS -> C\nP -> V\nL -> E\nH -> M\nJ -> C\nE -> K\nV -> L\nG -> S\nW -> S\nT -> G\nA -> X\nC -> S\nX -> P\nN -> D\nM -> O\nU -> J\nK -> M\nQ -> K\nR -> M\n\nStart value: I\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "R", "B": "L", "C": "N", "D": "K"}, "depth": 2, "id": "test_d02_00042", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "R", "C": "P", "D": "H", "E": "L", "F": "Q", "G": "P", "H": "K", "I": "S", "J": "C", "K": "J", "L": "X", "M": "R", "N": "M", "O": "O", "P": "E", "Q": "B", "R": "N", "S": "R", "T": "F", "U": "X", "V": "S", "W": "O", "X": "N"}, "n_symbols": 24, "orbit": ["S", "R", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> X\nK -> J\nA -> F\nQ -> B\nP -> E\nN -> M\nD -> H\nM -> R\nE -> L\nX -> N\nT -> F\nU -> X\nG -> P\nR -> N\nJ -> C\nW -> O\nC -> P\nF -> Q\nV -> S\nB -> R\nS -> R\nO -> O\nI -> S\nH -> K\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "H", "B": "G", "C": "D", "D": "B"}, "depth": 2, "id": "test_d02_00043", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "D", "C": "W", "D": "C", "E": "S", "F": "P", "G": "H", "H": "M", "I": "A", "J": "N", "K": "T", "L": "O", "M": "D", "N": "X", "O": "R", "P": "V", "Q": "W", "R": "W", "S": "C", "T": "T", "U": "G", "V": "H", "W": "B", "X": "X"}, "n_symbols": 24, "orbit": ["U", "G", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> D\nD -> C\nG -> H\nX -> X\nF -> P\nM -> D\nI -> A\nN -> X\nE -> S\nJ -> N\nS -> C\nC -> W\nU -> G\nR -> W\nP -> V\nK -> T\nH -> M\nL -> O\nW -> B\nO -> R\nT -> T\nV -> H\nA -> A\nQ -> W\n\nStart value: U\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "Q", "B": "J", "C": "G", "D": "V"}, "depth": 2, "id": "test_d02_00044", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "E", "C": "N", "D": "G", "E": "V", "F": "L", "G": "F", "H": "C", "I": "G", "J": "L", "K": "D", "L": "W", "M": "J", "N": "V", "O": "I", "P": "S", "Q": "U", "R": "T", "S": "C", "T": "G", "U": "Q", "V": "J", "W": "U", "X": "P"}, "n_symbols": 24, "orbit": ["N", "V", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> F\nQ -> U\nV -> J\nA -> A\nI -> G\nH -> C\nM -> J\nK -> D\nS -> C\nF -> L\nN -> V\nU -> Q\nC -> N\nO -> I\nW -> U\nP -> S\nJ -> L\nL -> W\nT -> G\nX -> P\nB -> E\nD -> G\nE -> V\nR -> T\n\nStart value: N\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "J"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "T", "B": "S", "C": "P", "D": "U"}, "depth": 2, "id": "test_d02_00045", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "Q", "C": "C", "D": "K", "E": "U", "F": "B", "G": "P", "H": "L", "I": "L", "J": "I", "K": "H", "L": "L", "M": "R", "N": "K", "O": "T", "P": "U", "Q": "E", "R": "T", "S": "P", "T": "P", "U": "T", "V": "R", "W": "B", "X": "T"}, "n_symbols": 24, "orbit": ["T", "P", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> T\nS -> P\nT -> P\nO -> T\nJ -> I\nK -> H\nL -> L\nA -> T\nB -> Q\nE -> U\nR -> T\nX -> T\nC -> C\nD -> K\nI -> L\nQ -> E\nM -> R\nH -> L\nF -> B\nG -> P\nV -> R\nW -> B\nP -> U\nN -> K\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "U"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "H", "B": "F", "C": "L", "D": "E"}, "depth": 2, "id": "test_d02_00046", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "I", "C": "W", "D": "R", "E": "G", "F": "H", "G": "K", "H": "B", "I": "W", "J": "A", "K": "K", "L": "S", "M": "L", "N": "O", "O": "B", "P": "X", "Q": "I", "R": "V", "S": "J", "T": "J", "U": "F", "V": "D", "W": "E", "X": "E"}, "n_symbols": 24, "orbit": ["U", "F", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> S\nE -> G\nM -> L\nA -> O\nN -> O\nQ -> I\nV -> D\nW -> E\nJ -> A\nG -> K\nD -> R\nC -> W\nK -> K\nT -> J\nB -> I\nP -> X\nS -> J\nR -> V\nI -> W\nU -> F\nX -> E\nF -> H\nO -> B\nH -> B\n\nStart value: U\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "H"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "X", "B": "M", "C": "A", "D": "T"}, "depth": 2, "id": "test_d02_00047", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "M", "C": "D", "D": "P", "E": "C", "F": "B", "G": "D", "H": "X", "I": "R", "J": "I", "K": "L", "L": "O", "M": "T", "N": "A", "O": "U", "P": "C", "Q": "F", "R": "I", "S": "U", "T": "C", "U": "C", "V": "X", "W": "T", "X": "A"}, "n_symbols": 24, "orbit": ["V", "X", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> C\nM -> T\nV -> X\nB -> M\nS -> U\nO -> U\nD -> P\nF -> B\nN -> A\nP -> C\nA -> R\nW -> T\nU -> C\nQ -> F\nJ -> I\nG -> D\nC -> D\nX -> A\nK -> L\nE -> C\nL -> O\nH -> X\nI -> R\nR -> I\n\nStart value: V\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "H", "B": "K", "C": "W", "D": "U"}, "depth": 2, "id": "test_d02_00048", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "U", "C": "O", "D": "V", "E": "B", "F": "U", "G": "V", "H": "U", "I": "J", "J": "W", "K": "W", "L": "R", "M": "W", "N": "H", "O": "P", "P": "M", "Q": "U", "R": "D", "S": "E", "T": "S", "U": "F", "V": "B", "W": "O", "X": "K"}, "n_symbols": 24, "orbit": ["X", "K", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> U\nU -> F\nL -> R\nM -> W\nX -> K\nI -> J\nC -> O\nS -> E\nF -> U\nG -> V\nR -> D\nD -> V\nO -> P\nP -> M\nK -> W\nJ -> W\nT -> S\nQ -> U\nV -> B\nB -> U\nA -> L\nW -> O\nE -> B\nN -> H\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "Q", "B": "X", "C": "O", "D": "P"}, "depth": 2, "id": "test_d02_00049", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "B", "C": "F", "D": "F", "E": "W", "F": "I", "G": "P", "H": "J", "I": "S", "J": "V", "K": "W", "L": "C", "M": "I", "N": "O", "O": "Q", "P": "W", "Q": "P", "R": "H", "S": "P", "T": "Q", "U": "H", "V": "U", "W": "K", "X": "Q"}, "n_symbols": 24, "orbit": ["O", "Q", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> Q\nO -> Q\nR -> H\nC -> F\nP -> W\nV -> U\nD -> F\nA -> O\nL -> C\nJ -> V\nF -> I\nN -> O\nW -> K\nT -> Q\nG -> P\nQ -> P\nS -> P\nI -> S\nU -> H\nK -> W\nM -> I\nE -> W\nH -> J\nB -> B\n\nStart value: O\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "P"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "J", "B": "L", "C": "G", "D": "U"}, "depth": 2, "id": "test_d02_00050", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "J", "C": "D", "D": "J", "E": "K", "F": "Q", "G": "J", "H": "S", "I": "F", "J": "T", "K": "G", "L": "A", "M": "U", "N": "P", "O": "N", "P": "L", "Q": "O", "R": "T", "S": "C", "T": "G", "U": "G", "V": "N", "W": "K", "X": "L"}, "n_symbols": 24, "orbit": ["K", "G", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> G\nL -> A\nA -> X\nC -> D\nP -> L\nV -> N\nI -> F\nH -> S\nD -> J\nS -> C\nF -> Q\nQ -> O\nJ -> T\nB -> J\nR -> T\nN -> P\nW -> K\nM -> U\nT -> G\nE -> K\nG -> J\nO -> N\nK -> G\nX -> L\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "I", "B": "P", "C": "X", "D": "O"}, "depth": 2, "id": "test_d02_00051", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "B", "C": "G", "D": "C", "E": "V", "F": "C", "G": "V", "H": "S", "I": "C", "J": "E", "K": "O", "L": "L", "M": "X", "N": "S", "O": "L", "P": "G", "Q": "I", "R": "F", "S": "G", "T": "C", "U": "A", "V": "R", "W": "R", "X": "P"}, "n_symbols": 24, "orbit": ["M", "X", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> L\nI -> C\nR -> F\nE -> V\nQ -> I\nJ -> E\nT -> C\nS -> G\nF -> C\nN -> S\nU -> A\nB -> B\nD -> C\nH -> S\nA -> M\nW -> R\nG -> V\nP -> G\nV -> R\nX -> P\nC -> G\nL -> L\nM -> X\nK -> O\n\nStart value: M\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "F", "B": "I", "C": "Q", "D": "L"}, "depth": 2, "id": "test_d02_00052", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "T", "C": "J", "D": "G", "E": "G", "F": "C", "G": "M", "H": "B", "I": "Q", "J": "K", "K": "K", "L": "N", "M": "X", "N": "Q", "O": "N", "P": "K", "Q": "L", "R": "P", "S": "O", "T": "I", "U": "K", "V": "N", "W": "O", "X": "X"}, "n_symbols": 24, "orbit": ["T", "I", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> L\nF -> C\nL -> N\nK -> K\nP -> K\nM -> X\nI -> Q\nN -> Q\nW -> O\nT -> I\nE -> G\nD -> G\nR -> P\nO -> N\nJ -> K\nG -> M\nV -> N\nC -> J\nA -> B\nS -> O\nU -> K\nH -> B\nB -> T\nX -> X\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "P", "B": "Q", "C": "I", "D": "J"}, "depth": 2, "id": "test_d02_00053", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "E", "C": "E", "D": "S", "E": "B", "F": "X", "G": "N", "H": "N", "I": "P", "J": "T", "K": "F", "L": "I", "M": "M", "N": "G", "O": "B", "P": "U", "Q": "R", "R": "C", "S": "H", "T": "K", "U": "G", "V": "C", "W": "A", "X": "T"}, "n_symbols": 24, "orbit": ["L", "I", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> R\nJ -> T\nL -> I\nV -> C\nM -> M\nF -> X\nA -> M\nN -> G\nC -> E\nS -> H\nH -> N\nX -> T\nU -> G\nR -> C\nE -> B\nO -> B\nD -> S\nG -> N\nK -> F\nW -> A\nP -> U\nI -> P\nB -> E\nT -> K\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "P"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "V", "B": "G", "C": "W", "D": "D"}, "depth": 2, "id": "test_d02_00054", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "Q", "C": "R", "D": "M", "E": "U", "F": "M", "G": "P", "H": "P", "I": "R", "J": "X", "K": "Q", "L": "R", "M": "V", "N": "F", "O": "J", "P": "S", "Q": "Q", "R": "O", "S": "N", "T": "N", "U": "N", "V": "G", "W": "L", "X": "D"}, "n_symbols": 24, "orbit": ["M", "V", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> L\nD -> M\nM -> V\nJ -> X\nA -> F\nQ -> Q\nH -> P\nB -> Q\nE -> U\nX -> D\nK -> Q\nL -> R\nR -> O\nV -> G\nP -> S\nT -> N\nG -> P\nO -> J\nS -> N\nN -> F\nI -> R\nU -> N\nC -> R\nF -> M\n\nStart value: M\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "G"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "K", "B": "U", "C": "C", "D": "L"}, "depth": 2, "id": "test_d02_00055", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "G", "C": "L", "D": "P", "E": "A", "F": "F", "G": "E", "H": "W", "I": "W", "J": "J", "K": "A", "L": "K", "M": "N", "N": "F", "O": "S", "P": "C", "Q": "U", "R": "I", "S": "V", "T": "L", "U": "C", "V": "B", "W": "F", "X": "K"}, "n_symbols": 24, "orbit": ["Q", "U", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> K\nK -> A\nU -> C\nQ -> U\nX -> K\nH -> W\nR -> I\nW -> F\nB -> G\nD -> P\nM -> N\nP -> C\nF -> F\nT -> L\nS -> V\nG -> E\nE -> A\nV -> B\nN -> F\nA -> X\nO -> S\nI -> W\nC -> L\nJ -> J\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "C"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "Q", "B": "T", "C": "R", "D": "J"}, "depth": 2, "id": "test_d02_00056", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "O", "C": "I", "D": "D", "E": "M", "F": "M", "G": "S", "H": "S", "I": "U", "J": "D", "K": "F", "L": "B", "M": "Q", "N": "O", "O": "L", "P": "O", "Q": "Q", "R": "J", "S": "T", "T": "Q", "U": "M", "V": "R", "W": "K", "X": "P"}, "n_symbols": 24, "orbit": ["S", "T", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> Q\nJ -> D\nR -> J\nX -> P\nG -> S\nF -> M\nO -> L\nP -> O\nB -> O\nD -> D\nI -> U\nM -> Q\nS -> T\nC -> I\nH -> S\nL -> B\nV -> R\nW -> K\nU -> M\nE -> M\nK -> F\nA -> W\nQ -> Q\nN -> O\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "D"}, "choices": {"A": "A", "B": "E", "C": "I", "D": "G"}, "depth": 2, "id": "test_d02_00057", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "P", "C": "H", "D": "N", "E": "G", "F": "Q", "G": "R", "H": "V", "I": "T", "J": "S", "K": "N", "L": "W", "M": "U", "N": "P", "O": "F", "P": "J", "Q": "I", "R": "S", "S": "F", "T": "C", "U": "D", "V": "K", "W": "G", "X": "E"}, "n_symbols": 24, "orbit": ["X", "E", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> G\nG -> R\nI -> T\nL -> W\nU -> D\nN -> P\nO -> F\nD -> N\nH -> V\nT -> C\nK -> N\nR -> S\nC -> H\nV -> K\nW -> G\nP -> J\nJ -> S\nX -> E\nB -> P\nE -> G\nF -> Q\nS -> F\nM -> U\nQ -> I\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "G"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "A"}, "choices": {"A": "E", "B": "X", "C": "M", "D": "F"}, "depth": 2, "id": "test_d02_00058", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "W", "C": "C", "D": "M", "E": "H", "F": "E", "G": "C", "H": "W", "I": "H", "J": "K", "K": "P", "L": "T", "M": "R", "N": "F", "O": "S", "P": "D", "Q": "O", "R": "I", "S": "S", "T": "F", "U": "L", "V": "F", "W": "J", "X": "M"}, "n_symbols": 24, "orbit": ["V", "F", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> M\nM -> R\nJ -> K\nP -> D\nE -> H\nG -> C\nQ -> O\nU -> L\nS -> S\nC -> C\nF -> E\nK -> P\nV -> F\nH -> W\nN -> F\nD -> M\nL -> T\nI -> H\nO -> S\nR -> I\nA -> A\nB -> W\nT -> F\nW -> J\n\nStart value: V\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "J", "B": "V", "C": "O", "D": "Q"}, "depth": 2, "id": "test_d02_00059", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "U", "C": "P", "D": "A", "E": "C", "F": "H", "G": "E", "H": "F", "I": "M", "J": "H", "K": "G", "L": "O", "M": "W", "N": "S", "O": "J", "P": "R", "Q": "V", "R": "Q", "S": "Q", "T": "W", "U": "B", "V": "P", "W": "T", "X": "J"}, "n_symbols": 24, "orbit": ["R", "Q", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> J\nJ -> H\nV -> P\nD -> A\nM -> W\nG -> E\nI -> M\nN -> S\nQ -> V\nK -> G\nW -> T\nL -> O\nS -> Q\nP -> R\nR -> Q\nX -> J\nE -> C\nH -> F\nC -> P\nB -> U\nT -> W\nF -> H\nA -> Q\nU -> B\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "O", "B": "I", "C": "A", "D": "M"}, "depth": 2, "id": "test_d02_00060", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "S", "C": "G", "D": "A", "E": "F", "F": "J", "G": "N", "H": "L", "I": "H", "J": "P", "K": "V", "L": "R", "M": "E", "N": "N", "O": "A", "P": "E", "Q": "V", "R": "X", "S": "D", "T": "I", "U": "U", "V": "O", "W": "A", "X": "X"}, "n_symbols": 24, "orbit": ["V", "O", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> H\nM -> E\nL -> R\nU -> U\nH -> L\nV -> O\nE -> F\nC -> G\nX -> X\nB -> S\nD -> A\nK -> V\nO -> A\nQ -> V\nG -> N\nA -> U\nT -> I\nJ -> P\nS -> D\nP -> E\nR -> X\nW -> A\nF -> J\nN -> N\n\nStart value: V\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "M", "B": "N", "C": "A", "D": "U"}, "depth": 2, "id": "test_d02_00061", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "T", "C": "C", "D": "B", "E": "D", "F": "H", "G": "O", "H": "K", "I": "C", "J": "E", "K": "C", "L": "W", "M": "O", "N": "Q", "O": "I", "P": "S", "Q": "B", "R": "G", "S": "A", "T": "V", "U": "U", "V": "U", "W": "I", "X": "D"}, "n_symbols": 24, "orbit": ["S", "A", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> O\nN -> Q\nD -> B\nT -> V\nO -> I\nE -> D\nP -> S\nC -> C\nX -> D\nF -> H\nH -> K\nI -> C\nQ -> B\nR -> G\nV -> U\nS -> A\nK -> C\nU -> U\nA -> U\nW -> I\nJ -> E\nB -> T\nG -> O\nL -> W\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "P", "B": "R", "C": "A", "D": "G"}, "depth": 2, "id": "test_d02_00062", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "R", "C": "D", "D": "E", "E": "V", "F": "O", "G": "T", "H": "S", "I": "C", "J": "K", "K": "E", "L": "F", "M": "J", "N": "M", "O": "E", "P": "A", "Q": "K", "R": "X", "S": "B", "T": "I", "U": "X", "V": "P", "W": "T", "X": "C"}, "n_symbols": 24, "orbit": ["V", "P", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> A\nR -> X\nG -> T\nS -> B\nU -> X\nL -> F\nI -> C\nQ -> K\nD -> E\nM -> J\nO -> E\nH -> S\nE -> V\nK -> E\nC -> D\nA -> N\nV -> P\nJ -> K\nF -> O\nT -> I\nX -> C\nW -> T\nB -> R\nN -> M\n\nStart value: V\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "C", "B": "E", "C": "V", "D": "O"}, "depth": 2, "id": "test_d02_00063", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "G", "C": "O", "D": "D", "E": "M", "F": "N", "G": "R", "H": "V", "I": "D", "J": "A", "K": "L", "L": "Q", "M": "Q", "N": "N", "O": "L", "P": "V", "Q": "D", "R": "T", "S": "L", "T": "U", "U": "J", "V": "O", "W": "E", "X": "S"}, "n_symbols": 24, "orbit": ["P", "V", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> O\nE -> M\nT -> U\nD -> D\nL -> Q\nJ -> A\nR -> T\nV -> O\nO -> L\nI -> D\nH -> V\nX -> S\nN -> N\nQ -> D\nG -> R\nU -> J\nP -> V\nW -> E\nK -> L\nA -> L\nB -> G\nM -> Q\nF -> N\nS -> L\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "O"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "C", "B": "A", "C": "B", "D": "F"}, "depth": 2, "id": "test_d02_00064", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "T", "C": "B", "D": "T", "E": "M", "F": "A", "G": "T", "H": "W", "I": "M", "J": "A", "K": "J", "L": "F", "M": "R", "N": "T", "O": "L", "P": "W", "Q": "F", "R": "T", "S": "C", "T": "B", "U": "N", "V": "V", "W": "O", "X": "R"}, "n_symbols": 24, "orbit": ["S", "C", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> N\nF -> A\nP -> W\nH -> W\nM -> R\nN -> T\nO -> L\nU -> N\nX -> R\nS -> C\nQ -> F\nW -> O\nC -> B\nR -> T\nE -> M\nJ -> A\nL -> F\nD -> T\nG -> T\nK -> J\nT -> B\nV -> V\nI -> M\nB -> T\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "B"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "D"}, "choices": {"A": "N", "B": "J", "C": "C", "D": "F"}, "depth": 2, "id": "test_d02_00065", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "K", "C": "I", "D": "W", "E": "L", "F": "A", "G": "B", "H": "J", "I": "S", "J": "F", "K": "E", "L": "L", "M": "M", "N": "A", "O": "V", "P": "G", "Q": "I", "R": "T", "S": "K", "T": "I", "U": "I", "V": "F", "W": "E", "X": "L"}, "n_symbols": 24, "orbit": ["H", "J", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> I\nN -> A\nW -> E\nP -> G\nL -> L\nX -> L\nS -> K\nI -> S\nH -> J\nB -> K\nM -> M\nK -> E\nE -> L\nF -> A\nA -> V\nR -> T\nV -> F\nO -> V\nG -> B\nU -> I\nQ -> I\nJ -> F\nT -> I\nD -> W\n\nStart value: H\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "F"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "A", "B": "N", "C": "H", "D": "I"}, "depth": 2, "id": "test_d02_00066", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "T", "C": "L", "D": "P", "E": "N", "F": "O", "G": "T", "H": "H", "I": "H", "J": "A", "K": "T", "L": "F", "M": "X", "N": "E", "O": "S", "P": "I", "Q": "G", "R": "N", "S": "V", "T": "R", "U": "W", "V": "E", "W": "P", "X": "L"}, "n_symbols": 24, "orbit": ["J", "A", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> H\nI -> H\nV -> E\nT -> R\nA -> N\nQ -> G\nG -> T\nE -> N\nJ -> A\nC -> L\nU -> W\nP -> I\nF -> O\nR -> N\nD -> P\nN -> E\nX -> L\nW -> P\nS -> V\nM -> X\nL -> F\nK -> T\nO -> S\nB -> T\n\nStart value: J\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "E", "B": "S", "C": "W", "D": "G"}, "depth": 2, "id": "test_d02_00067", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "E", "C": "W", "D": "B", "E": "Q", "F": "W", "G": "P", "H": "U", "I": "T", "J": "S", "K": "R", "L": "G", "M": "F", "N": "M", "O": "U", "P": "S", "Q": "L", "R": "I", "S": "E", "T": "P", "U": "Q", "V": "G", "W": "H", "X": "B"}, "n_symbols": 24, "orbit": ["P", "S", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> H\nG -> P\nN -> M\nK -> R\nD -> B\nA -> B\nH -> U\nF -> W\nT -> P\nP -> S\nQ -> L\nS -> E\nR -> I\nV -> G\nX -> B\nI -> T\nM -> F\nL -> G\nE -> Q\nC -> W\nJ -> S\nO -> U\nB -> E\nU -> Q\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "E"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "A"}, "choices": {"A": "D", "B": "E", "C": "N", "D": "Q"}, "depth": 2, "id": "test_d02_00068", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "R", "C": "R", "D": "C", "E": "U", "F": "S", "G": "Q", "H": "D", "I": "B", "J": "R", "K": "B", "L": "A", "M": "I", "N": "D", "O": "T", "P": "R", "Q": "D", "R": "E", "S": "W", "T": "K", "U": "V", "V": "H", "W": "G", "X": "K"}, "n_symbols": 24, "orbit": ["G", "Q", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> D\nE -> U\nF -> S\nV -> H\nA -> P\nJ -> R\nX -> K\nQ -> D\nC -> R\nW -> G\nL -> A\nS -> W\nU -> V\nD -> C\nI -> B\nO -> T\nK -> B\nR -> E\nB -> R\nH -> D\nP -> R\nG -> Q\nM -> I\nT -> K\n\nStart value: G\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "D"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "E", "B": "W", "C": "C", "D": "V"}, "depth": 2, "id": "test_d02_00069", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "I", "C": "Q", "D": "I", "E": "V", "F": "S", "G": "D", "H": "P", "I": "N", "J": "E", "K": "P", "L": "P", "M": "C", "N": "L", "O": "S", "P": "I", "Q": "E", "R": "F", "S": "T", "T": "R", "U": "J", "V": "R", "W": "S", "X": "R"}, "n_symbols": 24, "orbit": ["Q", "E", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> S\nC -> Q\nK -> P\nD -> I\nM -> C\nJ -> E\nR -> F\nX -> R\nB -> I\nG -> D\nQ -> E\nT -> R\nL -> P\nE -> V\nN -> L\nH -> P\nU -> J\nA -> C\nF -> S\nP -> I\nI -> N\nO -> S\nS -> T\nV -> R\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "V"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "R", "B": "X", "C": "N", "D": "G"}, "depth": 2, "id": "test_d02_00070", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "G", "C": "T", "D": "M", "E": "X", "F": "O", "G": "A", "H": "P", "I": "D", "J": "F", "K": "Q", "L": "H", "M": "L", "N": "R", "O": "K", "P": "D", "Q": "X", "R": "S", "S": "E", "T": "X", "U": "F", "V": "C", "W": "X", "X": "R"}, "n_symbols": 24, "orbit": ["T", "X", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> A\nR -> S\nN -> R\nP -> D\nE -> X\nF -> O\nV -> C\nQ -> X\nO -> K\nW -> X\nJ -> F\nI -> D\nC -> T\nH -> P\nK -> Q\nM -> L\nD -> M\nS -> E\nU -> F\nA -> D\nB -> G\nL -> H\nX -> R\nT -> X\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "R"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "C", "B": "I", "C": "J", "D": "H"}, "depth": 2, "id": "test_d02_00071", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "I", "C": "D", "D": "R", "E": "P", "F": "Q", "G": "C", "H": "I", "I": "D", "J": "S", "K": "I", "L": "G", "M": "A", "N": "O", "O": "H", "P": "J", "Q": "H", "R": "T", "S": "R", "T": "R", "U": "F", "V": "Q", "W": "N", "X": "U"}, "n_symbols": 24, "orbit": ["Q", "H", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> S\nC -> D\nO -> H\nA -> M\nV -> Q\nK -> I\nG -> C\nM -> A\nN -> O\nU -> F\nQ -> H\nT -> R\nX -> U\nP -> J\nF -> Q\nS -> R\nL -> G\nI -> D\nR -> T\nB -> I\nD -> R\nH -> I\nE -> P\nW -> N\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "A", "B": "T", "C": "Q", "D": "I"}, "depth": 2, "id": "test_d02_00072", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "G", "C": "J", "D": "I", "E": "C", "F": "P", "G": "W", "H": "N", "I": "O", "J": "Q", "K": "C", "L": "K", "M": "G", "N": "L", "O": "E", "P": "G", "Q": "I", "R": "J", "S": "S", "T": "R", "U": "I", "V": "B", "W": "U", "X": "E"}, "n_symbols": 24, "orbit": ["J", "Q", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> D\nT -> R\nB -> G\nJ -> Q\nE -> C\nF -> P\nQ -> I\nK -> C\nO -> E\nX -> E\nP -> G\nH -> N\nS -> S\nC -> J\nG -> W\nL -> K\nR -> J\nM -> G\nD -> I\nI -> O\nN -> L\nV -> B\nU -> I\nW -> U\n\nStart value: J\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "O", "B": "T", "C": "D", "D": "Q"}, "depth": 2, "id": "test_d02_00073", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "W", "C": "C", "D": "X", "E": "L", "F": "K", "G": "I", "H": "P", "I": "O", "J": "U", "K": "H", "L": "O", "M": "U", "N": "U", "O": "Q", "P": "N", "Q": "N", "R": "C", "S": "U", "T": "W", "U": "D", "V": "E", "W": "C", "X": "J"}, "n_symbols": 24, "orbit": ["A", "O", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> W\nD -> X\nK -> H\nE -> L\nM -> U\nU -> D\nR -> C\nP -> N\nI -> O\nH -> P\nL -> O\nC -> C\nJ -> U\nF -> K\nX -> J\nO -> Q\nV -> E\nW -> C\nB -> W\nN -> U\nS -> U\nQ -> N\nA -> O\nG -> I\n\nStart value: A\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "Q"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "S", "B": "W", "C": "P", "D": "T"}, "depth": 2, "id": "test_d02_00074", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "T", "C": "D", "D": "R", "E": "L", "F": "H", "G": "Q", "H": "G", "I": "A", "J": "K", "K": "A", "L": "X", "M": "F", "N": "D", "O": "P", "P": "L", "Q": "P", "R": "K", "S": "V", "T": "W", "U": "F", "V": "H", "W": "Q", "X": "K"}, "n_symbols": 24, "orbit": ["B", "T", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> L\nS -> V\nA -> H\nE -> L\nH -> G\nG -> Q\nQ -> P\nT -> W\nL -> X\nU -> F\nR -> K\nM -> F\nV -> H\nO -> P\nF -> H\nI -> A\nK -> A\nC -> D\nW -> Q\nD -> R\nX -> K\nB -> T\nJ -> K\nN -> D\n\nStart value: B\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "W"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "A", "B": "C", "C": "X", "D": "D"}, "depth": 2, "id": "test_d02_00075", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "L", "C": "M", "D": "A", "E": "L", "F": "W", "G": "V", "H": "A", "I": "V", "J": "N", "K": "X", "L": "N", "M": "F", "N": "H", "O": "W", "P": "U", "Q": "V", "R": "D", "S": "B", "T": "S", "U": "L", "V": "L", "W": "G", "X": "C"}, "n_symbols": 24, "orbit": ["K", "X", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> A\nA -> N\nJ -> N\nO -> W\nE -> L\nI -> V\nC -> M\nV -> L\nN -> H\nH -> A\nS -> B\nW -> G\nB -> L\nX -> C\nM -> F\nG -> V\nL -> N\nK -> X\nQ -> V\nU -> L\nR -> D\nP -> U\nT -> S\nF -> W\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "E", "B": "N", "C": "W", "D": "Q"}, "depth": 2, "id": "test_d02_00076", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "W", "C": "Q", "D": "W", "E": "C", "F": "Q", "G": "C", "H": "G", "I": "M", "J": "O", "K": "P", "L": "W", "M": "B", "N": "Q", "O": "X", "P": "S", "Q": "L", "R": "M", "S": "I", "T": "M", "U": "U", "V": "V", "W": "N", "X": "W"}, "n_symbols": 24, "orbit": ["X", "W", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> C\nQ -> L\nB -> W\nX -> W\nU -> U\nS -> I\nT -> M\nP -> S\nO -> X\nL -> W\nA -> G\nG -> C\nJ -> O\nC -> Q\nD -> W\nN -> Q\nM -> B\nW -> N\nI -> M\nF -> Q\nH -> G\nK -> P\nR -> M\nV -> V\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "T", "B": "N", "C": "R", "D": "K"}, "depth": 2, "id": "test_d02_00077", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "P", "C": "H", "D": "Q", "E": "U", "F": "H", "G": "R", "H": "W", "I": "U", "J": "Q", "K": "T", "L": "W", "M": "T", "N": "T", "O": "O", "P": "V", "Q": "U", "R": "E", "S": "N", "T": "O", "U": "R", "V": "N", "W": "K", "X": "K"}, "n_symbols": 24, "orbit": ["S", "N", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> E\nK -> T\nP -> V\nC -> H\nF -> H\nV -> N\nG -> R\nE -> U\nD -> Q\nJ -> Q\nO -> O\nX -> K\nM -> T\nW -> K\nA -> N\nU -> R\nB -> P\nS -> N\nQ -> U\nN -> T\nL -> W\nH -> W\nI -> U\nT -> O\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "M", "B": "U", "C": "L", "D": "O"}, "depth": 2, "id": "test_d02_00078", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "G", "C": "F", "D": "G", "E": "H", "F": "A", "G": "O", "H": "E", "I": "T", "J": "O", "K": "Q", "L": "M", "M": "M", "N": "E", "O": "U", "P": "N", "Q": "M", "R": "T", "S": "L", "T": "J", "U": "H", "V": "E", "W": "I", "X": "L"}, "n_symbols": 24, "orbit": ["S", "L", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> U\nU -> H\nL -> M\nE -> H\nP -> N\nH -> E\nN -> E\nA -> W\nS -> L\nI -> T\nD -> G\nR -> T\nT -> J\nJ -> O\nV -> E\nX -> L\nW -> I\nB -> G\nM -> M\nQ -> M\nG -> O\nF -> A\nC -> F\nK -> Q\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "W", "B": "G", "C": "A", "D": "D"}, "depth": 2, "id": "test_d02_00079", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "L", "C": "N", "D": "N", "E": "F", "F": "W", "G": "H", "H": "M", "I": "P", "J": "J", "K": "V", "L": "I", "M": "D", "N": "P", "O": "N", "P": "D", "Q": "S", "R": "A", "S": "D", "T": "X", "U": "Q", "V": "X", "W": "G", "X": "B"}, "n_symbols": 24, "orbit": ["F", "W", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> N\nA -> R\nC -> N\nX -> B\nL -> I\nJ -> J\nF -> W\nG -> H\nQ -> S\nH -> M\nM -> D\nN -> P\nK -> V\nT -> X\nP -> D\nW -> G\nR -> A\nI -> P\nV -> X\nB -> L\nO -> N\nE -> F\nS -> D\nU -> Q\n\nStart value: F\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "G"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "D", "B": "H", "C": "O", "D": "L"}, "depth": 2, "id": "test_d02_00080", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "X", "C": "O", "D": "T", "E": "G", "F": "U", "G": "T", "H": "O", "I": "V", "J": "Q", "K": "H", "L": "Q", "M": "I", "N": "T", "O": "R", "P": "A", "Q": "V", "R": "H", "S": "R", "T": "W", "U": "X", "V": "W", "W": "G", "X": "X"}, "n_symbols": 24, "orbit": ["R", "H", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> Q\nD -> T\nO -> R\nN -> T\nV -> W\nA -> T\nH -> O\nC -> O\nI -> V\nX -> X\nK -> H\nQ -> V\nE -> G\nS -> R\nP -> A\nB -> X\nT -> W\nM -> I\nF -> U\nR -> H\nU -> X\nW -> G\nJ -> Q\nG -> T\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "O"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "J", "B": "C", "C": "W", "D": "F"}, "depth": 2, "id": "test_d02_00081", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "T", "C": "D", "D": "E", "E": "X", "F": "F", "G": "B", "H": "L", "I": "J", "J": "S", "K": "W", "L": "P", "M": "X", "N": "K", "O": "F", "P": "U", "Q": "T", "R": "L", "S": "T", "T": "T", "U": "X", "V": "D", "W": "J", "X": "W"}, "n_symbols": 24, "orbit": ["K", "W", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> F\nC -> D\nK -> W\nX -> W\nJ -> S\nU -> X\nW -> J\nN -> K\nM -> X\nQ -> T\nL -> P\nT -> T\nA -> O\nO -> F\nR -> L\nI -> J\nH -> L\nV -> D\nG -> B\nB -> T\nE -> X\nP -> U\nD -> E\nS -> T\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "J"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "I", "B": "V", "C": "E", "D": "G"}, "depth": 2, "id": "test_d02_00082", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "I", "C": "G", "D": "E", "E": "G", "F": "N", "G": "J", "H": "N", "I": "I", "J": "P", "K": "U", "L": "Q", "M": "P", "N": "S", "O": "E", "P": "W", "Q": "V", "R": "C", "S": "K", "T": "M", "U": "E", "V": "M", "W": "T", "X": "E"}, "n_symbols": 24, "orbit": ["X", "E", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> M\nI -> I\nC -> G\nA -> C\nO -> E\nQ -> V\nP -> W\nG -> J\nE -> G\nX -> E\nM -> P\nN -> S\nK -> U\nU -> E\nH -> N\nR -> C\nW -> T\nD -> E\nB -> I\nL -> Q\nT -> M\nJ -> P\nS -> K\nF -> N\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "G"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "W", "B": "B", "C": "F", "D": "G"}, "depth": 2, "id": "test_d02_00083", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "M", "C": "A", "D": "O", "E": "E", "F": "L", "G": "B", "H": "D", "I": "C", "J": "N", "K": "E", "L": "R", "M": "A", "N": "H", "O": "O", "P": "G", "Q": "H", "R": "E", "S": "B", "T": "U", "U": "V", "V": "W", "W": "Q", "X": "Q"}, "n_symbols": 24, "orbit": ["P", "G", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> Q\nF -> L\nB -> M\nC -> A\nA -> T\nX -> Q\nR -> E\nO -> O\nL -> R\nQ -> H\nI -> C\nS -> B\nT -> U\nJ -> N\nN -> H\nK -> E\nP -> G\nD -> O\nM -> A\nE -> E\nU -> V\nG -> B\nH -> D\nV -> W\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "B"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "D", "B": "C", "C": "F", "D": "L"}, "depth": 2, "id": "test_d02_00084", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "S", "C": "A", "D": "H", "E": "I", "F": "C", "G": "F", "H": "R", "I": "N", "J": "P", "K": "W", "L": "G", "M": "A", "N": "X", "O": "F", "P": "J", "Q": "I", "R": "F", "S": "M", "T": "X", "U": "W", "V": "M", "W": "I", "X": "B"}, "n_symbols": 24, "orbit": ["O", "F", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> G\nD -> H\nI -> N\nU -> W\nB -> S\nA -> I\nS -> M\nE -> I\nP -> J\nO -> F\nC -> A\nR -> F\nW -> I\nH -> R\nG -> F\nV -> M\nX -> B\nF -> C\nJ -> P\nN -> X\nK -> W\nT -> X\nM -> A\nQ -> I\n\nStart value: O\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "C"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "N", "B": "D", "C": "Q", "D": "E"}, "depth": 2, "id": "test_d02_00085", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "Q", "C": "M", "D": "Q", "E": "C", "F": "E", "G": "Q", "H": "X", "I": "W", "J": "Q", "K": "D", "L": "J", "M": "W", "N": "B", "O": "R", "P": "A", "Q": "B", "R": "U", "S": "X", "T": "H", "U": "E", "V": "C", "W": "G", "X": "I"}, "n_symbols": 24, "orbit": ["K", "D", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> C\nN -> B\nO -> R\nA -> K\nS -> X\nK -> D\nL -> J\nD -> Q\nV -> C\nB -> Q\nG -> Q\nI -> W\nR -> U\nJ -> Q\nQ -> B\nP -> A\nX -> I\nU -> E\nC -> M\nF -> E\nM -> W\nT -> H\nH -> X\nW -> G\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "A", "B": "G", "C": "M", "D": "T"}, "depth": 2, "id": "test_d02_00086", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "Q", "C": "T", "D": "C", "E": "V", "F": "F", "G": "H", "H": "H", "I": "S", "J": "I", "K": "S", "L": "B", "M": "W", "N": "B", "O": "U", "P": "B", "Q": "S", "R": "P", "S": "E", "T": "G", "U": "B", "V": "S", "W": "R", "X": "A"}, "n_symbols": 24, "orbit": ["X", "A", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> W\nG -> H\nI -> S\nU -> B\nS -> E\nH -> H\nJ -> I\nD -> C\nV -> S\nX -> A\nE -> V\nQ -> S\nC -> T\nT -> G\nR -> P\nK -> S\nW -> R\nN -> B\nA -> T\nL -> B\nP -> B\nO -> U\nB -> Q\nF -> F\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "T"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "O", "B": "S", "C": "M", "D": "C"}, "depth": 2, "id": "test_d02_00087", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "X", "C": "L", "D": "O", "E": "V", "F": "I", "G": "G", "H": "O", "I": "E", "J": "M", "K": "D", "L": "U", "M": "S", "N": "J", "O": "T", "P": "T", "Q": "M", "R": "I", "S": "S", "T": "H", "U": "H", "V": "V", "W": "W", "X": "W"}, "n_symbols": 24, "orbit": ["Q", "M", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> L\nO -> T\nN -> J\nA -> Q\nB -> X\nL -> U\nK -> D\nS -> S\nH -> O\nW -> W\nX -> W\nV -> V\nU -> H\nD -> O\nE -> V\nT -> H\nM -> S\nP -> T\nQ -> M\nR -> I\nJ -> M\nG -> G\nF -> I\nI -> E\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "S"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "H", "B": "G", "C": "D", "D": "U"}, "depth": 2, "id": "test_d02_00088", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "N", "C": "H", "D": "N", "E": "A", "F": "M", "G": "X", "H": "K", "I": "U", "J": "S", "K": "H", "L": "X", "M": "M", "N": "T", "O": "F", "P": "S", "Q": "U", "R": "S", "S": "P", "T": "K", "U": "D", "V": "E", "W": "R", "X": "D"}, "n_symbols": 24, "orbit": ["I", "U", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> X\nH -> K\nP -> S\nI -> U\nL -> X\nC -> H\nE -> A\nR -> S\nQ -> U\nU -> D\nW -> R\nB -> N\nS -> P\nA -> N\nK -> H\nF -> M\nX -> D\nJ -> S\nT -> K\nV -> E\nO -> F\nN -> T\nM -> M\nD -> N\n\nStart value: I\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "J", "B": "O", "C": "F", "D": "B"}, "depth": 2, "id": "test_d02_00089", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "W", "C": "C", "D": "T", "E": "O", "F": "A", "G": "B", "H": "G", "I": "C", "J": "D", "K": "N", "L": "X", "M": "P", "N": "G", "O": "J", "P": "R", "Q": "A", "R": "Q", "S": "R", "T": "E", "U": "G", "V": "Q", "W": "O", "X": "N"}, "n_symbols": 24, "orbit": ["E", "O", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> W\nF -> A\nA -> X\nM -> P\nL -> X\nD -> T\nK -> N\nO -> J\nU -> G\nN -> G\nV -> Q\nR -> Q\nQ -> A\nI -> C\nC -> C\nG -> B\nP -> R\nJ -> D\nW -> O\nT -> E\nS -> R\nH -> G\nE -> O\nX -> N\n\nStart value: E\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "J"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "I", "B": "K", "C": "E", "D": "H"}, "depth": 2, "id": "test_d02_00090", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "A", "C": "L", "D": "K", "E": "S", "F": "I", "G": "T", "H": "W", "I": "E", "J": "I", "K": "R", "L": "G", "M": "V", "N": "D", "O": "C", "P": "S", "Q": "O", "R": "J", "S": "K", "T": "L", "U": "R", "V": "D", "W": "D", "X": "X"}, "n_symbols": 24, "orbit": ["F", "I", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> R\nH -> W\nP -> S\nA -> V\nF -> I\nJ -> I\nM -> V\nX -> X\nO -> C\nD -> K\nQ -> O\nB -> A\nU -> R\nE -> S\nI -> E\nS -> K\nC -> L\nN -> D\nR -> J\nV -> D\nT -> L\nG -> T\nW -> D\nL -> G\n\nStart value: F\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "Q", "B": "M", "C": "C", "D": "H"}, "depth": 2, "id": "test_d02_00091", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "X", "C": "W", "D": "G", "E": "S", "F": "A", "G": "T", "H": "M", "I": "P", "J": "C", "K": "N", "L": "T", "M": "W", "N": "O", "O": "D", "P": "H", "Q": "K", "R": "G", "S": "B", "T": "N", "U": "N", "V": "A", "W": "O", "X": "R"}, "n_symbols": 24, "orbit": ["P", "H", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> K\nC -> W\nS -> B\nO -> D\nT -> N\nR -> G\nA -> L\nW -> O\nE -> S\nK -> N\nJ -> C\nH -> M\nI -> P\nG -> T\nV -> A\nX -> R\nP -> H\nM -> W\nL -> T\nU -> N\nN -> O\nB -> X\nF -> A\nD -> G\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "G", "B": "N", "C": "I", "D": "H"}, "depth": 2, "id": "test_d02_00092", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "P", "C": "L", "D": "P", "E": "Q", "F": "U", "G": "T", "H": "V", "I": "U", "J": "K", "K": "R", "L": "K", "M": "Q", "N": "I", "O": "N", "P": "E", "Q": "U", "R": "D", "S": "P", "T": "I", "U": "A", "V": "T", "W": "F", "X": "G"}, "n_symbols": 24, "orbit": ["O", "N", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> V\nG -> T\nI -> U\nD -> P\nJ -> K\nV -> T\nW -> F\nM -> Q\nP -> E\nR -> D\nF -> U\nQ -> U\nU -> A\nT -> I\nE -> Q\nA -> J\nL -> K\nC -> L\nO -> N\nS -> P\nB -> P\nN -> I\nK -> R\nX -> G\n\nStart value: O\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "I"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "R", "B": "X", "C": "G", "D": "F"}, "depth": 2, "id": "test_d02_00093", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "Q", "C": "J", "D": "R", "E": "S", "F": "X", "G": "M", "H": "E", "I": "J", "J": "J", "K": "E", "L": "V", "M": "M", "N": "D", "O": "W", "P": "V", "Q": "B", "R": "X", "S": "R", "T": "D", "U": "L", "V": "G", "W": "P", "X": "F"}, "n_symbols": 24, "orbit": ["S", "R", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> M\nF -> X\nS -> R\nO -> W\nQ -> B\nX -> F\nP -> V\nI -> J\nA -> D\nV -> G\nK -> E\nM -> M\nW -> P\nC -> J\nB -> Q\nJ -> J\nD -> R\nR -> X\nL -> V\nU -> L\nH -> E\nE -> S\nT -> D\nN -> D\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "X"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "Q", "B": "A", "C": "G", "D": "T"}, "depth": 2, "id": "test_d02_00094", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "V", "C": "N", "D": "B", "E": "U", "F": "B", "G": "E", "H": "V", "I": "T", "J": "L", "K": "X", "L": "S", "M": "N", "N": "O", "O": "L", "P": "L", "Q": "G", "R": "F", "S": "G", "T": "K", "U": "R", "V": "K", "W": "S", "X": "A"}, "n_symbols": 24, "orbit": ["X", "A", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> K\nG -> E\nO -> L\nQ -> G\nL -> S\nK -> X\nF -> B\nA -> Q\nB -> V\nH -> V\nM -> N\nU -> R\nW -> S\nS -> G\nN -> O\nJ -> L\nP -> L\nC -> N\nE -> U\nX -> A\nV -> K\nI -> T\nR -> F\nD -> B\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "A"}, "choices": {"A": "I", "B": "X", "C": "A", "D": "B"}, "depth": 2, "id": "test_d02_00095", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "I", "C": "T", "D": "J", "E": "B", "F": "S", "G": "M", "H": "P", "I": "B", "J": "D", "K": "B", "L": "E", "M": "L", "N": "F", "O": "U", "P": "T", "Q": "S", "R": "U", "S": "K", "T": "W", "U": "L", "V": "K", "W": "S", "X": "C"}, "n_symbols": 24, "orbit": ["K", "B", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> C\nA -> S\nR -> U\nL -> E\nD -> J\nM -> L\nC -> T\nU -> L\nN -> F\nV -> K\nH -> P\nK -> B\nB -> I\nJ -> D\nQ -> S\nT -> W\nW -> S\nO -> U\nE -> B\nP -> T\nS -> K\nI -> B\nF -> S\nG -> M\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "I"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "N", "B": "K", "C": "H", "D": "G"}, "depth": 2, "id": "test_d02_00096", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "S", "C": "L", "D": "H", "E": "D", "F": "P", "G": "O", "H": "G", "I": "P", "J": "Q", "K": "H", "L": "C", "M": "K", "N": "S", "O": "T", "P": "A", "Q": "C", "R": "A", "S": "I", "T": "W", "U": "P", "V": "H", "W": "A", "X": "Q"}, "n_symbols": 24, "orbit": ["M", "K", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> O\nN -> S\nR -> A\nJ -> Q\nU -> P\nI -> P\nD -> H\nA -> D\nF -> P\nT -> W\nW -> A\nH -> G\nM -> K\nL -> C\nO -> T\nS -> I\nC -> L\nP -> A\nB -> S\nQ -> C\nV -> H\nX -> Q\nE -> D\nK -> H\n\nStart value: M\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "H"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "K", "B": "T", "C": "A", "D": "C"}, "depth": 2, "id": "test_d02_00097", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "V", "C": "A", "D": "R", "E": "X", "F": "H", "G": "J", "H": "N", "I": "C", "J": "O", "K": "P", "L": "A", "M": "V", "N": "I", "O": "S", "P": "C", "Q": "J", "R": "R", "S": "P", "T": "D", "U": "D", "V": "H", "W": "X", "X": "O"}, "n_symbols": 24, "orbit": ["I", "C", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> D\nK -> P\nS -> P\nO -> S\nB -> V\nV -> H\nW -> X\nJ -> O\nH -> N\nN -> I\nF -> H\nP -> C\nA -> R\nX -> O\nE -> X\nM -> V\nL -> A\nR -> R\nQ -> J\nG -> J\nU -> D\nD -> R\nI -> C\nC -> A\n\nStart value: I\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "A"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "X", "B": "U", "C": "K", "D": "F"}, "depth": 2, "id": "test_d02_00098", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "S", "C": "Q", "D": "F", "E": "J", "F": "U", "G": "J", "H": "L", "I": "V", "J": "R", "K": "N", "L": "C", "M": "D", "N": "E", "O": "H", "P": "M", "Q": "S", "R": "M", "S": "I", "T": "E", "U": "I", "V": "Q", "W": "D", "X": "D"}, "n_symbols": 24, "orbit": ["D", "F", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> N\nX -> D\nH -> L\nQ -> S\nV -> Q\nG -> J\nF -> U\nC -> Q\nP -> M\nJ -> R\nD -> F\nO -> H\nM -> D\nS -> I\nN -> E\nB -> S\nI -> V\nW -> D\nT -> E\nU -> I\nE -> J\nL -> C\nR -> M\nA -> O\n\nStart value: D\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "U"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "G", "B": "E", "C": "S", "D": "V"}, "depth": 2, "id": "test_d02_00099", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "M", "C": "F", "D": "D", "E": "B", "F": "S", "G": "Q", "H": "L", "I": "Q", "J": "S", "K": "X", "L": "V", "M": "G", "N": "J", "O": "F", "P": "W", "Q": "S", "R": "E", "S": "E", "T": "C", "U": "M", "V": "H", "W": "G", "X": "D"}, "n_symbols": 24, "orbit": ["Q", "S", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> Q\nV -> H\nM -> G\nP -> W\nW -> G\nA -> E\nU -> M\nX -> D\nJ -> S\nB -> M\nI -> Q\nK -> X\nD -> D\nE -> B\nQ -> S\nF -> S\nO -> F\nT -> C\nR -> E\nH -> L\nN -> J\nS -> E\nL -> V\nC -> F\n\nStart value: Q\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "E"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "A"}, "choices": {"A": "L", "B": "B", "C": "W", "D": "K"}, "depth": 2, "id": "test_d02_00100", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "M", "C": "R", "D": "F", "E": "G", "F": "R", "G": "T", "H": "M", "I": "T", "J": "O", "K": "K", "L": "A", "M": "A", "N": "O", "O": "X", "P": "R", "Q": "D", "R": "S", "S": "W", "T": "D", "U": "N", "V": "Q", "W": "L", "X": "Q"}, "n_symbols": 24, "orbit": ["S", "W", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> K\nB -> M\nV -> Q\nR -> S\nW -> L\nT -> D\nX -> Q\nS -> W\nE -> G\nJ -> O\nL -> A\nN -> O\nM -> A\nH -> M\nP -> R\nD -> F\nG -> T\nQ -> D\nC -> R\nI -> T\nF -> R\nA -> F\nO -> X\nU -> N\n\nStart value: S\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "L"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "S", "B": "O", "C": "H", "D": "A"}, "depth": 2, "id": "test_d02_00101", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "V", "C": "U", "D": "X", "E": "X", "F": "J", "G": "X", "H": "R", "I": "N", "J": "A", "K": "O", "L": "C", "M": "I", "N": "D", "O": "H", "P": "N", "Q": "U", "R": "F", "S": "N", "T": "X", "U": "A", "V": "I", "W": "I", "X": "P"}, "n_symbols": 24, "orbit": ["K", "O", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> N\nA -> K\nV -> I\nX -> P\nE -> X\nI -> N\nR -> F\nB -> V\nT -> X\nD -> X\nM -> I\nL -> C\nJ -> A\nC -> U\nF -> J\nQ -> U\nU -> A\nP -> N\nN -> D\nW -> I\nK -> O\nH -> R\nO -> H\nG -> X\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "H"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "D", "B": "G", "C": "C", "D": "H"}, "depth": 2, "id": "test_d02_00102", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "U", "C": "I", "D": "F", "E": "W", "F": "S", "G": "D", "H": "G", "I": "I", "J": "J", "K": "L", "L": "T", "M": "S", "N": "C", "O": "D", "P": "X", "Q": "G", "R": "P", "S": "R", "T": "Q", "U": "W", "V": "I", "W": "S", "X": "L"}, "n_symbols": 24, "orbit": ["H", "G", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> G\nC -> I\nV -> I\nL -> T\nN -> C\nO -> D\nS -> R\nX -> L\nI -> I\nT -> Q\nR -> P\nM -> S\nJ -> J\nB -> U\nF -> S\nE -> W\nP -> X\nQ -> G\nU -> W\nA -> V\nW -> S\nK -> L\nG -> D\nD -> F\n\nStart value: H\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "V", "B": "M", "C": "O", "D": "H"}, "depth": 2, "id": "test_d02_00103", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "H", "C": "E", "D": "B", "E": "J", "F": "S", "G": "B", "H": "F", "I": "S", "J": "M", "K": "A", "L": "K", "M": "V", "N": "J", "O": "V", "P": "Q", "Q": "L", "R": "B", "S": "N", "T": "O", "U": "A", "V": "M", "W": "P", "X": "C"}, "n_symbols": 24, "orbit": ["J", "M", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> V\nM -> V\nH -> F\nC -> E\nF -> S\nE -> J\nK -> A\nR -> B\nA -> K\nP -> Q\nL -> K\nT -> O\nG -> B\nB -> H\nS -> N\nQ -> L\nJ -> M\nX -> C\nU -> A\nW -> P\nI -> S\nD -> B\nV -> M\nN -> J\n\nStart value: J\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "V"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "M", "B": "G", "C": "F", "D": "A"}, "depth": 2, "id": "test_d02_00104", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "U", "C": "W", "D": "I", "E": "J", "F": "W", "G": "Q", "H": "M", "I": "Q", "J": "D", "K": "I", "L": "M", "M": "A", "N": "I", "O": "L", "P": "U", "Q": "U", "R": "D", "S": "T", "T": "B", "U": "G", "V": "G", "W": "Q", "X": "B"}, "n_symbols": 24, "orbit": ["H", "M", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> Q\nF -> W\nJ -> D\nD -> I\nA -> Q\nN -> I\nS -> T\nH -> M\nU -> G\nE -> J\nR -> D\nB -> U\nQ -> U\nV -> G\nT -> B\nC -> W\nW -> Q\nL -> M\nX -> B\nP -> U\nM -> A\nI -> Q\nO -> L\nK -> I\n\nStart value: H\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "C", "B": "U", "C": "W", "D": "P"}, "depth": 2, "id": "test_d02_00105", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "H", "C": "P", "D": "D", "E": "S", "F": "R", "G": "T", "H": "J", "I": "E", "J": "M", "K": "B", "L": "C", "M": "T", "N": "X", "O": "B", "P": "M", "Q": "J", "R": "V", "S": "N", "T": "I", "U": "C", "V": "K", "W": "S", "X": "C"}, "n_symbols": 24, "orbit": ["L", "C", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> C\nW -> S\nG -> T\nC -> P\nO -> B\nX -> C\nQ -> J\nD -> D\nP -> M\nJ -> M\nH -> J\nA -> M\nV -> K\nI -> E\nF -> R\nB -> H\nN -> X\nM -> T\nS -> N\nT -> I\nK -> B\nR -> V\nE -> S\nL -> C\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "H", "B": "T", "C": "W", "D": "J"}, "depth": 2, "id": "test_d02_00106", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "U", "C": "G", "D": "I", "E": "F", "F": "G", "G": "H", "H": "B", "I": "O", "J": "K", "K": "I", "L": "Q", "M": "T", "N": "X", "O": "L", "P": "J", "Q": "E", "R": "A", "S": "U", "T": "W", "U": "E", "V": "C", "W": "U", "X": "W"}, "n_symbols": 24, "orbit": ["M", "T", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> U\nJ -> K\nH -> B\nE -> F\nU -> E\nK -> I\nF -> G\nP -> J\nG -> H\nA -> E\nS -> U\nV -> C\nN -> X\nT -> W\nO -> L\nL -> Q\nM -> T\nI -> O\nC -> G\nR -> A\nQ -> E\nX -> W\nB -> U\nD -> I\n\nStart value: M\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "W"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "B"}, "choices": {"A": "E", "B": "M", "C": "B", "D": "P"}, "depth": 2, "id": "test_d02_00107", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "A", "C": "T", "D": "L", "E": "M", "F": "N", "G": "W", "H": "O", "I": "A", "J": "S", "K": "T", "L": "E", "M": "K", "N": "M", "O": "I", "P": "A", "Q": "L", "R": "V", "S": "S", "T": "T", "U": "P", "V": "F", "W": "W", "X": "M"}, "n_symbols": 24, "orbit": ["L", "E", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> A\nB -> A\nC -> T\nF -> N\nK -> T\nA -> N\nJ -> S\nQ -> L\nE -> M\nL -> E\nI -> A\nR -> V\nO -> I\nU -> P\nM -> K\nG -> W\nT -> T\nS -> S\nN -> M\nW -> W\nH -> O\nX -> M\nV -> F\nD -> L\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "D"}, "choices": {"A": "X", "B": "G", "C": "E", "D": "A"}, "depth": 2, "id": "test_d02_00108", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "E", "C": "F", "D": "S", "E": "V", "F": "E", "G": "O", "H": "H", "I": "R", "J": "W", "K": "W", "L": "P", "M": "H", "N": "X", "O": "W", "P": "R", "Q": "F", "R": "S", "S": "F", "T": "B", "U": "T", "V": "M", "W": "S", "X": "A"}, "n_symbols": 24, "orbit": ["N", "X", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> V\nG -> O\nX -> A\nU -> T\nT -> B\nO -> W\nQ -> F\nP -> R\nR -> S\nL -> P\nV -> M\nF -> E\nM -> H\nN -> X\nD -> S\nB -> E\nH -> H\nJ -> W\nA -> D\nW -> S\nK -> W\nC -> F\nS -> F\nI -> R\n\nStart value: N\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "P", "B": "L", "C": "Q", "D": "J"}, "depth": 2, "id": "test_d02_00109", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "X", "C": "L", "D": "O", "E": "L", "F": "U", "G": "P", "H": "M", "I": "B", "J": "Q", "K": "A", "L": "Q", "M": "G", "N": "H", "O": "H", "P": "K", "Q": "G", "R": "J", "S": "W", "T": "N", "U": "F", "V": "D", "W": "C", "X": "G"}, "n_symbols": 24, "orbit": ["R", "J", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> Q\nP -> K\nL -> Q\nK -> A\nO -> H\nC -> L\nI -> B\nX -> G\nU -> F\nW -> C\nV -> D\nR -> J\nB -> X\nH -> M\nM -> G\nF -> U\nE -> L\nQ -> G\nN -> H\nS -> W\nA -> P\nG -> P\nD -> O\nT -> N\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "Q"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "B"}, "choices": {"A": "E", "B": "O", "C": "W", "D": "R"}, "depth": 2, "id": "test_d02_00110", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "T", "C": "C", "D": "F", "E": "E", "F": "T", "G": "V", "H": "Q", "I": "S", "J": "J", "K": "J", "L": "V", "M": "U", "N": "O", "O": "I", "P": "W", "Q": "L", "R": "S", "S": "O", "T": "C", "U": "S", "V": "K", "W": "O", "X": "K"}, "n_symbols": 24, "orbit": ["P", "W", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> E\nW -> O\nR -> S\nK -> J\nX -> K\nO -> I\nN -> O\nQ -> L\nS -> O\nT -> C\nG -> V\nA -> U\nI -> S\nM -> U\nP -> W\nJ -> J\nD -> F\nL -> V\nF -> T\nC -> C\nH -> Q\nB -> T\nU -> S\nV -> K\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "O"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "H", "B": "A", "C": "M", "D": "N"}, "depth": 2, "id": "test_d02_00111", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "L", "C": "N", "D": "C", "E": "M", "F": "I", "G": "G", "H": "U", "I": "F", "J": "P", "K": "D", "L": "K", "M": "B", "N": "A", "O": "D", "P": "W", "Q": "N", "R": "N", "S": "H", "T": "Q", "U": "N", "V": "K", "W": "L", "X": "C"}, "n_symbols": 24, "orbit": ["R", "N", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> U\nM -> B\nL -> K\nS -> H\nC -> N\nK -> D\nO -> D\nA -> U\nE -> M\nT -> Q\nD -> C\nN -> A\nP -> W\nJ -> P\nV -> K\nX -> C\nW -> L\nF -> I\nU -> N\nB -> L\nG -> G\nR -> N\nI -> F\nQ -> N\n\nStart value: R\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "E", "B": "O", "C": "N", "D": "M"}, "depth": 2, "id": "test_d02_00112", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "V", "C": "T", "D": "P", "E": "M", "F": "G", "G": "C", "H": "K", "I": "R", "J": "S", "K": "O", "L": "O", "M": "W", "N": "M", "O": "T", "P": "P", "Q": "D", "R": "R", "S": "V", "T": "C", "U": "L", "V": "K", "W": "N", "X": "O"}, "n_symbols": 24, "orbit": ["W", "N", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> T\nE -> M\nG -> C\nN -> M\nX -> O\nC -> T\nM -> W\nK -> O\nW -> N\nS -> V\nT -> C\nF -> G\nL -> O\nQ -> D\nH -> K\nA -> V\nB -> V\nI -> R\nR -> R\nJ -> S\nD -> P\nP -> P\nU -> L\nV -> K\n\nStart value: W\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "O", "B": "X", "C": "P", "D": "S"}, "depth": 2, "id": "test_d02_00113", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "U", "C": "J", "D": "C", "E": "F", "F": "G", "G": "O", "H": "A", "I": "H", "J": "M", "K": "K", "L": "N", "M": "S", "N": "L", "O": "P", "P": "F", "Q": "H", "R": "C", "S": "T", "T": "V", "U": "K", "V": "K", "W": "E", "X": "D"}, "n_symbols": 24, "orbit": ["G", "O", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> T\nX -> D\nG -> O\nC -> J\nH -> A\nE -> F\nP -> F\nR -> C\nJ -> M\nL -> N\nO -> P\nV -> K\nQ -> H\nM -> S\nW -> E\nI -> H\nN -> L\nA -> L\nB -> U\nD -> C\nT -> V\nK -> K\nU -> K\nF -> G\n\nStart value: G\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "X", "B": "R", "C": "E", "D": "Q"}, "depth": 2, "id": "test_d02_00114", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "G", "C": "L", "D": "X", "E": "U", "F": "W", "G": "D", "H": "S", "I": "W", "J": "E", "K": "T", "L": "B", "M": "I", "N": "U", "O": "O", "P": "J", "Q": "E", "R": "W", "S": "M", "T": "G", "U": "N", "V": "N", "W": "M", "X": "Q"}, "n_symbols": 24, "orbit": ["X", "Q", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> Q\nR -> W\nI -> W\nD -> X\nG -> D\nK -> T\nU -> N\nN -> U\nC -> L\nH -> S\nJ -> E\nS -> M\nA -> J\nE -> U\nP -> J\nB -> G\nF -> W\nV -> N\nT -> G\nO -> O\nQ -> E\nL -> B\nW -> M\nM -> I\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "E"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "C"}, "choices": {"A": "K", "B": "D", "C": "N", "D": "V"}, "depth": 2, "id": "test_d02_00115", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "R", "C": "W", "D": "P", "E": "K", "F": "P", "G": "A", "H": "M", "I": "H", "J": "I", "K": "U", "L": "G", "M": "O", "N": "M", "O": "Q", "P": "V", "Q": "V", "R": "C", "S": "S", "T": "Q", "U": "J", "V": "N", "W": "B", "X": "G"}, "n_symbols": 24, "orbit": ["P", "V", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> P\nK -> U\nP -> V\nS -> S\nI -> H\nQ -> V\nF -> P\nN -> M\nA -> X\nB -> R\nC -> W\nV -> N\nG -> A\nW -> B\nL -> G\nE -> K\nH -> M\nM -> O\nU -> J\nR -> C\nT -> Q\nJ -> I\nX -> G\nO -> Q\n\nStart value: P\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "N"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "C"}, "choices": {"A": "N", "B": "F", "C": "U", "D": "W"}, "depth": 2, "id": "test_d02_00116", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "P", "C": "S", "D": "P", "E": "C", "F": "U", "G": "G", "H": "J", "I": "U", "J": "U", "K": "P", "L": "F", "M": "E", "N": "R", "O": "B", "P": "E", "Q": "V", "R": "N", "S": "P", "T": "N", "U": "V", "V": "G", "W": "I", "X": "F"}, "n_symbols": 24, "orbit": ["X", "F", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> I\nN -> R\nQ -> V\nV -> G\nO -> B\nI -> U\nM -> E\nF -> U\nS -> P\nB -> P\nT -> N\nA -> X\nX -> F\nJ -> U\nK -> P\nD -> P\nL -> F\nP -> E\nU -> V\nE -> C\nH -> J\nR -> N\nC -> S\nG -> G\n\nStart value: X\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "S", "B": "C", "C": "I", "D": "F"}, "depth": 2, "id": "test_d02_00117", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "X", "C": "I", "D": "I", "E": "C", "F": "P", "G": "U", "H": "W", "I": "F", "J": "L", "K": "N", "L": "E", "M": "E", "N": "F", "O": "G", "P": "U", "Q": "K", "R": "F", "S": "M", "T": "A", "U": "Q", "V": "I", "W": "I", "X": "K"}, "n_symbols": 24, "orbit": ["C", "I", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> I\nS -> M\nX -> K\nW -> I\nK -> N\nP -> U\nN -> F\nL -> E\nA -> M\nD -> I\nG -> U\nT -> A\nQ -> K\nF -> P\nE -> C\nR -> F\nM -> E\nI -> F\nO -> G\nB -> X\nU -> Q\nH -> W\nV -> I\nJ -> L\n\nStart value: C\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "F"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "A"}, "choices": {"A": "A", "B": "J", "C": "T", "D": "F"}, "depth": 2, "id": "test_d02_00118", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "G", "C": "D", "D": "E", "E": "C", "F": "A", "G": "U", "H": "I", "I": "X", "J": "V", "K": "F", "L": "P", "M": "B", "N": "F", "O": "M", "P": "N", "Q": "A", "R": "E", "S": "P", "T": "U", "U": "W", "V": "S", "W": "S", "X": "X"}, "n_symbols": 24, "orbit": ["N", "F", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> V\nT -> U\nP -> N\nI -> X\nV -> S\nO -> M\nK -> F\nB -> G\nM -> B\nG -> U\nW -> S\nR -> E\nF -> A\nU -> W\nQ -> A\nH -> I\nE -> C\nC -> D\nA -> O\nX -> X\nD -> E\nS -> P\nN -> F\nL -> P\n\nStart value: N\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "D", "B": "U", "C": "O", "D": "V"}, "depth": 2, "id": "test_d02_00119", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "V", "C": "O", "D": "U", "E": "S", "F": "V", "G": "H", "H": "L", "I": "P", "J": "C", "K": "J", "L": "B", "M": "M", "N": "W", "O": "V", "P": "M", "Q": "M", "R": "K", "S": "O", "T": "R", "U": "Q", "V": "A", "W": "V", "X": "S"}, "n_symbols": 24, "orbit": ["C", "O", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> V\nD -> U\nU -> Q\nK -> J\nQ -> M\nF -> V\nP -> M\nW -> V\nB -> V\nA -> G\nI -> P\nM -> M\nV -> A\nX -> S\nC -> O\nH -> L\nJ -> C\nN -> W\nL -> B\nE -> S\nS -> O\nR -> K\nG -> H\nT -> R\n\nStart value: C\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "V"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "D"}, "choices": {"A": "H", "B": "R", "C": "Q", "D": "M"}, "depth": 2, "id": "test_d02_00120", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "V", "C": "G", "D": "G", "E": "O", "F": "F", "G": "K", "H": "E", "I": "R", "J": "S", "K": "K", "L": "N", "M": "B", "N": "K", "O": "O", "P": "V", "Q": "U", "R": "M", "S": "T", "T": "Q", "U": "M", "V": "Q", "W": "E", "X": "G"}, "n_symbols": 24, "orbit": ["I", "R", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> E\nQ -> U\nB -> V\nS -> T\nR -> M\nG -> K\nK -> K\nA -> X\nX -> G\nL -> N\nV -> Q\nM -> B\nW -> E\nU -> M\nN -> K\nE -> O\nO -> O\nJ -> S\nP -> V\nD -> G\nT -> Q\nF -> F\nC -> G\nI -> R\n\nStart value: I\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "I", "B": "W", "C": "A", "D": "L"}, "depth": 2, "id": "test_d02_00121", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "K", "C": "H", "D": "Q", "E": "P", "F": "V", "G": "O", "H": "N", "I": "A", "J": "U", "K": "N", "L": "I", "M": "T", "N": "F", "O": "T", "P": "X", "Q": "M", "R": "L", "S": "W", "T": "Q", "U": "X", "V": "W", "W": "U", "X": "N"}, "n_symbols": 24, "orbit": ["L", "I", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> U\nL -> I\nB -> K\nP -> X\nK -> N\nO -> T\nJ -> U\nV -> W\nG -> O\nM -> T\nX -> N\nN -> F\nF -> V\nS -> W\nR -> L\nI -> A\nU -> X\nD -> Q\nT -> Q\nE -> P\nQ -> M\nH -> N\nA -> L\nC -> H\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "I", "B": "M", "C": "R", "D": "T"}, "depth": 2, "id": "test_d02_00122", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "M", "C": "E", "D": "F", "E": "O", "F": "W", "G": "K", "H": "R", "I": "N", "J": "S", "K": "V", "L": "N", "M": "W", "N": "R", "O": "K", "P": "Q", "Q": "I", "R": "T", "S": "R", "T": "C", "U": "G", "V": "K", "W": "X", "X": "P"}, "n_symbols": 24, "orbit": ["H", "R", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> N\nM -> W\nA -> V\nP -> Q\nQ -> I\nU -> G\nW -> X\nL -> N\nV -> K\nC -> E\nR -> T\nS -> R\nN -> R\nO -> K\nG -> K\nX -> P\nD -> F\nH -> R\nE -> O\nK -> V\nB -> M\nJ -> S\nF -> W\nT -> C\n\nStart value: H\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "C"}, "choices": {"A": "X", "B": "P", "C": "G", "D": "J"}, "depth": 2, "id": "test_d02_00123", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "N", "C": "D", "D": "J", "E": "S", "F": "P", "G": "G", "H": "A", "I": "T", "J": "J", "K": "M", "L": "D", "M": "F", "N": "X", "O": "S", "P": "W", "Q": "J", "R": "L", "S": "O", "T": "X", "U": "R", "V": "A", "W": "D", "X": "G"}, "n_symbols": 24, "orbit": ["T", "X", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> W\nJ -> J\nM -> F\nB -> N\nD -> J\nW -> D\nN -> X\nC -> D\nX -> G\nH -> A\nV -> A\nF -> P\nL -> D\nQ -> J\nR -> L\nG -> G\nE -> S\nA -> W\nU -> R\nI -> T\nT -> X\nK -> M\nO -> S\nS -> O\n\nStart value: T\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "G"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "A", "B": "X", "C": "S", "D": "K"}, "depth": 2, "id": "test_d02_00124", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "C", "C": "W", "D": "J", "E": "Q", "F": "H", "G": "K", "H": "L", "I": "J", "J": "K", "K": "N", "L": "X", "M": "R", "N": "K", "O": "S", "P": "R", "Q": "D", "R": "X", "S": "D", "T": "F", "U": "N", "V": "R", "W": "L", "X": "A"}, "n_symbols": 24, "orbit": ["L", "X", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> N\nS -> D\nM -> R\nO -> S\nP -> R\nV -> R\nX -> A\nB -> C\nD -> J\nE -> Q\nW -> L\nI -> J\nR -> X\nC -> W\nF -> H\nU -> N\nL -> X\nT -> F\nA -> O\nG -> K\nN -> K\nQ -> D\nH -> L\nJ -> K\n\nStart value: L\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "A"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "B"}, "choices": {"A": "W", "B": "T", "C": "A", "D": "E"}, "depth": 2, "id": "test_d02_00125", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "M", "C": "Q", "D": "O", "E": "T", "F": "M", "G": "U", "H": "W", "I": "G", "J": "X", "K": "O", "L": "C", "M": "N", "N": "C", "O": "E", "P": "T", "Q": "V", "R": "T", "S": "O", "T": "T", "U": "O", "V": "E", "W": "O", "X": "R"}, "n_symbols": 24, "orbit": ["V", "E", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> F\nW -> O\nJ -> X\nK -> O\nQ -> V\nB -> M\nC -> Q\nL -> C\nS -> O\nU -> O\nE -> T\nT -> T\nD -> O\nX -> R\nI -> G\nG -> U\nM -> N\nP -> T\nV -> E\nO -> E\nR -> T\nH -> W\nN -> C\nF -> M\n\nStart value: V\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "T"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "D"}, "choices": {"A": "U", "B": "W", "C": "F", "D": "K"}, "depth": 2, "id": "test_d02_00126", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "F", "C": "T", "D": "H", "E": "V", "F": "K", "G": "H", "H": "L", "I": "K", "J": "B", "K": "B", "L": "W", "M": "W", "N": "P", "O": "E", "P": "C", "Q": "G", "R": "G", "S": "B", "T": "W", "U": "E", "V": "O", "W": "W", "X": "E"}, "n_symbols": 24, "orbit": ["B", "F", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> W\nU -> E\nD -> H\nL -> W\nE -> V\nP -> C\nB -> F\nO -> E\nN -> P\nA -> W\nM -> W\nK -> B\nG -> H\nF -> K\nC -> T\nI -> K\nX -> E\nT -> W\nR -> G\nJ -> B\nV -> O\nQ -> G\nS -> B\nH -> L\n\nStart value: B\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "K"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "A"}, "choices": {"A": "I", "B": "A", "C": "Q", "D": "V"}, "depth": 2, "id": "test_d02_00127", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "B", "C": "X", "D": "F", "E": "F", "F": "L", "G": "I", "H": "P", "I": "G", "J": "N", "K": "A", "L": "D", "M": "H", "N": "X", "O": "R", "P": "T", "Q": "N", "R": "T", "S": "O", "T": "U", "U": "J", "V": "H", "W": "M", "X": "K"}, "n_symbols": 24, "orbit": ["K", "A", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> N\nV -> H\nF -> L\nS -> O\nR -> T\nB -> B\nT -> U\nN -> X\nU -> J\nC -> X\nX -> K\nJ -> N\nO -> R\nW -> M\nG -> I\nE -> F\nP -> T\nH -> P\nL -> D\nM -> H\nI -> G\nD -> F\nK -> A\nA -> I\n\nStart value: K\nApply f exactly 2 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "I"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B"}, "choices": {"A": "P", "B": "C", "C": "H", "D": "K"}, "depth": 3, "id": "test_d03_00000", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "M", "C": "J", "D": "D", "E": "N", "F": "O", "G": "W", "H": "P", "I": "B", "J": "N", "K": "M", "L": "E", "M": "U", "N": "K", "O": "P", "P": "C", "Q": "S", "R": "F", "S": "H", "T": "B", "U": "Q", "V": "S", "W": "P", "X": "H"}, "n_symbols": 24, "orbit": ["S", "H", "P", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> M\nN -> K\nW -> P\nR -> F\nS -> H\nT -> B\nO -> P\nD -> D\nP -> C\nV -> S\nQ -> S\nU -> Q\nE -> N\nL -> E\nX -> H\nM -> U\nB -> M\nC -> J\nJ -> N\nH -> P\nI -> B\nA -> P\nG -> W\nF -> O\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "C"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "T", "B": "X", "C": "W", "D": "I"}, "depth": 3, "id": "test_d03_00001", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "W", "C": "R", "D": "N", "E": "T", "F": "T", "G": "C", "H": "T", "I": "A", "J": "L", "K": "W", "L": "E", "M": "N", "N": "G", "O": "X", "P": "A", "Q": "D", "R": "L", "S": "U", "T": "M", "U": "E", "V": "O", "W": "X", "X": "I"}, "n_symbols": 24, "orbit": ["K", "W", "X", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> M\nF -> T\nK -> W\nI -> A\nL -> E\nB -> W\nH -> T\nR -> L\nU -> E\nA -> B\nG -> C\nC -> R\nV -> O\nQ -> D\nN -> G\nO -> X\nE -> T\nD -> N\nP -> A\nX -> I\nW -> X\nM -> N\nJ -> L\nS -> U\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "I"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A"}, "choices": {"A": "B", "B": "S", "C": "K", "D": "D"}, "depth": 3, "id": "test_d03_00002", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "L", "C": "I", "D": "B", "E": "F", "F": "L", "G": "I", "H": "J", "I": "K", "J": "J", "K": "J", "L": "T", "M": "F", "N": "W", "O": "W", "P": "W", "Q": "E", "R": "G", "S": "D", "T": "S", "U": "A", "V": "C", "W": "S", "X": "B"}, "n_symbols": 24, "orbit": ["T", "S", "D", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> J\nI -> K\nW -> S\nU -> A\nQ -> E\nH -> J\nE -> F\nA -> W\nO -> W\nC -> I\nP -> W\nV -> C\nT -> S\nN -> W\nL -> T\nR -> G\nX -> B\nS -> D\nD -> B\nJ -> J\nM -> F\nG -> I\nF -> L\nB -> L\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "B"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "D"}, "choices": {"A": "M", "B": "I", "C": "E", "D": "B"}, "depth": 3, "id": "test_d03_00003", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "U", "C": "M", "D": "J", "E": "B", "F": "D", "G": "C", "H": "H", "I": "C", "J": "C", "K": "G", "L": "B", "M": "E", "N": "A", "O": "L", "P": "O", "Q": "T", "R": "H", "S": "L", "T": "N", "U": "C", "V": "K", "W": "P", "X": "N"}, "n_symbols": 24, "orbit": ["C", "M", "E", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> C\nV -> K\nM -> E\nP -> O\nH -> H\nC -> M\nJ -> C\nB -> U\nO -> L\nE -> B\nS -> L\nG -> C\nA -> P\nD -> J\nN -> A\nT -> N\nK -> G\nW -> P\nL -> B\nQ -> T\nU -> C\nR -> H\nX -> N\nF -> D\n\nStart value: C\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "B"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B"}, "choices": {"A": "T", "B": "J", "C": "C", "D": "Q"}, "depth": 3, "id": "test_d03_00004", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "E", "C": "T", "D": "C", "E": "O", "F": "H", "G": "W", "H": "S", "I": "H", "J": "A", "K": "T", "L": "W", "M": "P", "N": "C", "O": "W", "P": "T", "Q": "C", "R": "L", "S": "H", "T": "J", "U": "E", "V": "L", "W": "M", "X": "R"}, "n_symbols": 24, "orbit": ["N", "C", "T", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> C\nK -> T\nN -> C\nH -> S\nM -> P\nG -> W\nI -> H\nJ -> A\nP -> T\nS -> H\nT -> J\nX -> R\nL -> W\nE -> O\nW -> M\nB -> E\nV -> L\nO -> W\nU -> E\nD -> C\nC -> T\nR -> L\nF -> H\nA -> E\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "P", "B": "N", "C": "E", "D": "R"}, "depth": 3, "id": "test_d03_00005", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "A", "C": "V", "D": "E", "E": "N", "F": "E", "G": "J", "H": "U", "I": "F", "J": "I", "K": "F", "L": "I", "M": "E", "N": "M", "O": "F", "P": "E", "Q": "W", "R": "P", "S": "I", "T": "M", "U": "I", "V": "C", "W": "D", "X": "U"}, "n_symbols": 24, "orbit": ["R", "P", "E", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> P\nN -> M\nK -> F\nJ -> I\nF -> E\nT -> M\nL -> I\nE -> N\nA -> T\nD -> E\nP -> E\nG -> J\nH -> U\nM -> E\nU -> I\nI -> F\nX -> U\nS -> I\nV -> C\nW -> D\nB -> A\nO -> F\nC -> V\nQ -> W\n\nStart value: R\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "M", "B": "E", "C": "W", "D": "R"}, "depth": 3, "id": "test_d03_00006", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "R", "C": "T", "D": "W", "E": "T", "F": "K", "G": "K", "H": "I", "I": "W", "J": "M", "K": "W", "L": "V", "M": "V", "N": "T", "O": "F", "P": "B", "Q": "W", "R": "M", "S": "E", "T": "W", "U": "T", "V": "E", "W": "R", "X": "N"}, "n_symbols": 24, "orbit": ["K", "W", "R", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> R\nE -> T\nJ -> M\nA -> T\nU -> T\nT -> W\nR -> M\nG -> K\nB -> R\nO -> F\nN -> T\nM -> V\nK -> W\nQ -> W\nS -> E\nV -> E\nL -> V\nX -> N\nF -> K\nH -> I\nD -> W\nI -> W\nP -> B\nC -> T\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "N", "B": "H", "C": "A", "D": "O"}, "depth": 3, "id": "test_d03_00007", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "U", "C": "O", "D": "J", "E": "X", "F": "Q", "G": "J", "H": "V", "I": "O", "J": "B", "K": "N", "L": "W", "M": "U", "N": "A", "O": "P", "P": "K", "Q": "I", "R": "S", "S": "X", "T": "G", "U": "O", "V": "J", "W": "E", "X": "K"}, "n_symbols": 24, "orbit": ["K", "N", "A", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> P\nL -> W\nV -> J\nB -> U\nG -> J\nA -> H\nD -> J\nU -> O\nN -> A\nK -> N\nH -> V\nJ -> B\nT -> G\nR -> S\nS -> X\nI -> O\nF -> Q\nP -> K\nM -> U\nW -> E\nX -> K\nC -> O\nE -> X\nQ -> I\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "H"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "V", "B": "D", "C": "E", "D": "J"}, "depth": 3, "id": "test_d03_00008", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "Q", "C": "E", "D": "W", "E": "J", "F": "C", "G": "W", "H": "I", "I": "E", "J": "V", "K": "E", "L": "V", "M": "T", "N": "L", "O": "R", "P": "K", "Q": "A", "R": "K", "S": "B", "T": "M", "U": "W", "V": "B", "W": "M", "X": "V"}, "n_symbols": 24, "orbit": ["K", "E", "J", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> V\nD -> W\nF -> C\nB -> Q\nM -> T\nL -> V\nU -> W\nI -> E\nA -> N\nC -> E\nQ -> A\nE -> J\nK -> E\nP -> K\nX -> V\nG -> W\nT -> M\nR -> K\nO -> R\nV -> B\nH -> I\nW -> M\nN -> L\nS -> B\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "V"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "I", "B": "J", "C": "U", "D": "F"}, "depth": 3, "id": "test_d03_00009", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "Q", "C": "F", "D": "I", "E": "H", "F": "I", "G": "G", "H": "N", "I": "U", "J": "G", "K": "J", "L": "I", "M": "E", "N": "G", "O": "A", "P": "E", "Q": "S", "R": "I", "S": "Q", "T": "P", "U": "J", "V": "W", "W": "I", "X": "G"}, "n_symbols": 24, "orbit": ["F", "I", "U", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> I\nT -> P\nQ -> S\nU -> J\nS -> Q\nA -> D\nJ -> G\nM -> E\nR -> I\nO -> A\nE -> H\nH -> N\nL -> I\nK -> J\nN -> G\nP -> E\nC -> F\nV -> W\nI -> U\nW -> I\nX -> G\nD -> I\nG -> G\nB -> Q\n\nStart value: F\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "B"}, "choices": {"A": "F", "B": "X", "C": "E", "D": "L"}, "depth": 3, "id": "test_d03_00010", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "B", "C": "L", "D": "C", "E": "X", "F": "L", "G": "K", "H": "B", "I": "C", "J": "V", "K": "X", "L": "E", "M": "J", "N": "J", "O": "C", "P": "C", "Q": "D", "R": "U", "S": "I", "T": "O", "U": "P", "V": "L", "W": "X", "X": "S"}, "n_symbols": 24, "orbit": ["C", "L", "E", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> L\nE -> X\nM -> J\nJ -> V\nA -> Q\nQ -> D\nX -> S\nB -> B\nW -> X\nH -> B\nN -> J\nO -> C\nG -> K\nC -> L\nI -> C\nP -> C\nL -> E\nK -> X\nU -> P\nS -> I\nR -> U\nT -> O\nD -> C\nV -> L\n\nStart value: C\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "X"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A"}, "choices": {"A": "R", "B": "M", "C": "B", "D": "X"}, "depth": 3, "id": "test_d03_00011", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "A", "C": "W", "D": "E", "E": "K", "F": "D", "G": "G", "H": "G", "I": "O", "J": "S", "K": "R", "L": "D", "M": "X", "N": "M", "O": "K", "P": "I", "Q": "I", "R": "X", "S": "D", "T": "J", "U": "V", "V": "S", "W": "T", "X": "R"}, "n_symbols": 24, "orbit": ["N", "M", "X", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> A\nG -> G\nI -> O\nT -> J\nN -> M\nO -> K\nW -> T\nE -> K\nQ -> I\nA -> H\nU -> V\nS -> D\nM -> X\nX -> R\nC -> W\nD -> E\nJ -> S\nV -> S\nL -> D\nP -> I\nH -> G\nF -> D\nK -> R\nR -> X\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "R"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "T", "B": "M", "C": "I", "D": "A"}, "depth": 3, "id": "test_d03_00012", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "M", "C": "W", "D": "O", "E": "A", "F": "Q", "G": "X", "H": "U", "I": "T", "J": "B", "K": "D", "L": "P", "M": "O", "N": "I", "O": "F", "P": "E", "Q": "B", "R": "P", "S": "N", "T": "N", "U": "C", "V": "M", "W": "A", "X": "P"}, "n_symbols": 24, "orbit": ["W", "A", "I", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> O\nA -> I\nU -> C\nH -> U\nT -> N\nF -> Q\nI -> T\nQ -> B\nC -> W\nV -> M\nG -> X\nK -> D\nN -> I\nL -> P\nE -> A\nP -> E\nO -> F\nS -> N\nW -> A\nJ -> B\nB -> M\nD -> O\nR -> P\nX -> P\n\nStart value: W\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "Q", "B": "V", "C": "W", "D": "K"}, "depth": 3, "id": "test_d03_00013", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "X", "C": "P", "D": "W", "E": "J", "F": "M", "G": "W", "H": "W", "I": "A", "J": "K", "K": "Q", "L": "N", "M": "S", "N": "X", "O": "J", "P": "I", "Q": "P", "R": "R", "S": "F", "T": "E", "U": "T", "V": "D", "W": "K", "X": "F"}, "n_symbols": 24, "orbit": ["D", "W", "K", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> D\nA -> F\nL -> N\nR -> R\nE -> J\nU -> T\nI -> A\nM -> S\nP -> I\nN -> X\nT -> E\nX -> F\nO -> J\nC -> P\nG -> W\nW -> K\nH -> W\nK -> Q\nD -> W\nJ -> K\nQ -> P\nS -> F\nB -> X\nF -> M\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "Q"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C"}, "choices": {"A": "G", "B": "V", "C": "M", "D": "T"}, "depth": 3, "id": "test_d03_00014", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "J", "C": "T", "D": "K", "E": "E", "F": "B", "G": "H", "H": "C", "I": "L", "J": "M", "K": "W", "L": "L", "M": "R", "N": "V", "O": "V", "P": "F", "Q": "X", "R": "N", "S": "E", "T": "M", "U": "I", "V": "T", "W": "O", "X": "W"}, "n_symbols": 24, "orbit": ["N", "V", "T", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> H\nI -> L\nM -> R\nN -> V\nU -> I\nC -> T\nO -> V\nK -> W\nB -> J\nT -> M\nV -> T\nH -> C\nW -> O\nA -> W\nF -> B\nJ -> M\nX -> W\nR -> N\nL -> L\nD -> K\nE -> E\nP -> F\nQ -> X\nS -> E\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D"}, "choices": {"A": "F", "B": "U", "C": "K", "D": "N"}, "depth": 3, "id": "test_d03_00015", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "I", "C": "U", "D": "Q", "E": "K", "F": "N", "G": "N", "H": "J", "I": "O", "J": "R", "K": "F", "L": "Q", "M": "A", "N": "U", "O": "U", "P": "K", "Q": "O", "R": "E", "S": "T", "T": "U", "U": "F", "V": "A", "W": "A", "X": "W"}, "n_symbols": 24, "orbit": ["O", "U", "F", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> F\nD -> Q\nU -> F\nG -> N\nV -> A\nL -> Q\nJ -> R\nB -> I\nH -> J\nA -> X\nW -> A\nN -> U\nM -> A\nS -> T\nI -> O\nO -> U\nX -> W\nF -> N\nT -> U\nC -> U\nP -> K\nE -> K\nR -> E\nQ -> O\n\nStart value: O\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "N"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C"}, "choices": {"A": "K", "B": "M", "C": "B", "D": "E"}, "depth": 3, "id": "test_d03_00016", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "H", "C": "L", "D": "L", "E": "M", "F": "E", "G": "R", "H": "P", "I": "O", "J": "Q", "K": "E", "L": "X", "M": "B", "N": "O", "O": "D", "P": "V", "Q": "P", "R": "G", "S": "O", "T": "A", "U": "J", "V": "W", "W": "R", "X": "U"}, "n_symbols": 24, "orbit": ["K", "E", "M", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> E\nA -> R\nN -> O\nC -> L\nR -> G\nT -> A\nJ -> Q\nL -> X\nV -> W\nX -> U\nP -> V\nB -> H\nH -> P\nS -> O\nF -> E\nO -> D\nD -> L\nE -> M\nG -> R\nQ -> P\nI -> O\nM -> B\nU -> J\nW -> R\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "B"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "H", "B": "L", "C": "N", "D": "E"}, "depth": 3, "id": "test_d03_00017", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "C", "C": "T", "D": "N", "E": "H", "F": "N", "G": "O", "H": "X", "I": "O", "J": "E", "K": "I", "L": "H", "M": "T", "N": "E", "O": "N", "P": "L", "Q": "Q", "R": "I", "S": "H", "T": "H", "U": "M", "V": "S", "W": "A", "X": "F"}, "n_symbols": 24, "orbit": ["F", "N", "E", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> H\nU -> M\nP -> L\nS -> H\nK -> I\nI -> O\nQ -> Q\nO -> N\nR -> I\nB -> C\nN -> E\nT -> H\nJ -> E\nE -> H\nV -> S\nX -> F\nG -> O\nM -> T\nC -> T\nD -> N\nH -> X\nW -> A\nA -> W\nF -> N\n\nStart value: F\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B"}, "choices": {"A": "P", "B": "A", "C": "C", "D": "G"}, "depth": 3, "id": "test_d03_00018", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "P", "C": "J", "D": "P", "E": "A", "F": "O", "G": "A", "H": "X", "I": "J", "J": "E", "K": "L", "L": "R", "M": "O", "N": "D", "O": "L", "P": "G", "Q": "S", "R": "F", "S": "R", "T": "X", "U": "H", "V": "E", "W": "D", "X": "X"}, "n_symbols": 24, "orbit": ["B", "P", "G", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> J\nV -> E\nX -> X\nF -> O\nI -> J\nP -> G\nT -> X\nU -> H\nB -> P\nQ -> S\nJ -> E\nS -> R\nG -> A\nM -> O\nW -> D\nR -> F\nK -> L\nO -> L\nL -> R\nN -> D\nD -> P\nH -> X\nE -> A\nA -> V\n\nStart value: B\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C"}, "choices": {"A": "G", "B": "U", "C": "C", "D": "K"}, "depth": 3, "id": "test_d03_00019", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "E", "C": "C", "D": "A", "E": "K", "F": "T", "G": "H", "H": "J", "I": "S", "J": "S", "K": "U", "L": "E", "M": "T", "N": "U", "O": "S", "P": "L", "Q": "S", "R": "E", "S": "J", "T": "N", "U": "C", "V": "I", "W": "V", "X": "W"}, "n_symbols": 24, "orbit": ["E", "K", "U", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> H\nK -> U\nI -> S\nS -> J\nA -> A\nR -> E\nW -> V\nV -> I\nL -> E\nO -> S\nM -> T\nQ -> S\nD -> A\nX -> W\nN -> U\nU -> C\nT -> N\nP -> L\nF -> T\nE -> K\nC -> C\nJ -> S\nH -> J\nB -> E\n\nStart value: E\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "C"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D"}, "choices": {"A": "W", "B": "D", "C": "U", "D": "V"}, "depth": 3, "id": "test_d03_00020", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "L", "C": "W", "D": "U", "E": "G", "F": "T", "G": "Q", "H": "Q", "I": "H", "J": "J", "K": "T", "L": "R", "M": "G", "N": "R", "O": "E", "P": "S", "Q": "G", "R": "U", "S": "M", "T": "M", "U": "W", "V": "X", "W": "V", "X": "G"}, "n_symbols": 24, "orbit": ["D", "U", "W", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> U\nL -> R\nT -> M\nN -> R\nA -> W\nB -> L\nR -> U\nU -> W\nM -> G\nJ -> J\nX -> G\nQ -> G\nP -> S\nV -> X\nI -> H\nK -> T\nF -> T\nW -> V\nO -> E\nH -> Q\nE -> G\nC -> W\nG -> Q\nS -> M\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "G", "B": "R", "C": "U", "D": "P"}, "depth": 3, "id": "test_d03_00021", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "M", "C": "O", "D": "N", "E": "G", "F": "U", "G": "O", "H": "W", "I": "I", "J": "R", "K": "E", "L": "C", "M": "J", "N": "F", "O": "A", "P": "V", "Q": "A", "R": "P", "S": "Q", "T": "P", "U": "R", "V": "Q", "W": "W", "X": "M"}, "n_symbols": 24, "orbit": ["F", "U", "R", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> O\nU -> R\nW -> W\nQ -> A\nV -> Q\nN -> F\nP -> V\nC -> O\nX -> M\nM -> J\nJ -> R\nT -> P\nH -> W\nK -> E\nI -> I\nO -> A\nE -> G\nB -> M\nL -> C\nA -> G\nF -> U\nR -> P\nS -> Q\nD -> N\n\nStart value: F\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "R", "B": "M", "C": "S", "D": "N"}, "depth": 3, "id": "test_d03_00022", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "U", "C": "H", "D": "N", "E": "C", "F": "M", "G": "I", "H": "G", "I": "Q", "J": "X", "K": "Q", "L": "J", "M": "W", "N": "R", "O": "G", "P": "P", "Q": "G", "R": "S", "S": "A", "T": "L", "U": "P", "V": "U", "W": "I", "X": "I"}, "n_symbols": 24, "orbit": ["D", "N", "R", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> W\nH -> G\nJ -> X\nW -> I\nF -> M\nI -> Q\nU -> P\nV -> U\nN -> R\nS -> A\nP -> P\nX -> I\nO -> G\nG -> I\nQ -> G\nT -> L\nA -> C\nK -> Q\nB -> U\nL -> J\nR -> S\nD -> N\nE -> C\nC -> H\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "S"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "H", "B": "C", "C": "V", "D": "T"}, "depth": 3, "id": "test_d03_00023", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "C", "C": "H", "D": "C", "E": "C", "F": "W", "G": "F", "H": "V", "I": "H", "J": "S", "K": "W", "L": "X", "M": "X", "N": "H", "O": "C", "P": "C", "Q": "P", "R": "G", "S": "U", "T": "U", "U": "G", "V": "B", "W": "P", "X": "V"}, "n_symbols": 24, "orbit": ["D", "C", "H", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> U\nC -> H\nA -> D\nF -> W\nM -> X\nW -> P\nL -> X\nK -> W\nR -> G\nH -> V\nN -> H\nD -> C\nB -> C\nG -> F\nI -> H\nJ -> S\nS -> U\nV -> B\nO -> C\nX -> V\nQ -> P\nP -> C\nE -> C\nU -> G\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "A", "B": "H", "C": "G", "D": "M"}, "depth": 3, "id": "test_d03_00024", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "K", "C": "C", "D": "V", "E": "D", "F": "U", "G": "M", "H": "B", "I": "I", "J": "X", "K": "Q", "L": "A", "M": "A", "N": "C", "O": "X", "P": "D", "Q": "I", "R": "U", "S": "B", "T": "G", "U": "E", "V": "V", "W": "K", "X": "H"}, "n_symbols": 24, "orbit": ["T", "G", "M", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> M\nH -> B\nI -> I\nE -> D\nS -> B\nD -> V\nV -> V\nF -> U\nK -> Q\nX -> H\nW -> K\nL -> A\nM -> A\nA -> P\nO -> X\nR -> U\nP -> D\nQ -> I\nC -> C\nN -> C\nJ -> X\nU -> E\nT -> G\nB -> K\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "J", "B": "A", "C": "O", "D": "N"}, "depth": 3, "id": "test_d03_00025", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "P", "C": "V", "D": "A", "E": "K", "F": "Q", "G": "E", "H": "X", "I": "P", "J": "C", "K": "R", "L": "O", "M": "P", "N": "K", "O": "N", "P": "O", "Q": "X", "R": "G", "S": "L", "T": "A", "U": "U", "V": "F", "W": "P", "X": "X"}, "n_symbols": 24, "orbit": ["D", "A", "O", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> C\nN -> K\nT -> A\nG -> E\nC -> V\nM -> P\nH -> X\nR -> G\nF -> Q\nL -> O\nQ -> X\nW -> P\nE -> K\nU -> U\nO -> N\nS -> L\nX -> X\nK -> R\nI -> P\nP -> O\nA -> O\nD -> A\nV -> F\nB -> P\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D"}, "choices": {"A": "G", "B": "J", "C": "L", "D": "E"}, "depth": 3, "id": "test_d03_00026", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "T", "C": "V", "D": "A", "E": "O", "F": "W", "G": "E", "H": "L", "I": "L", "J": "T", "K": "X", "L": "G", "M": "H", "N": "S", "O": "T", "P": "F", "Q": "N", "R": "S", "S": "Q", "T": "W", "U": "B", "V": "Q", "W": "H", "X": "I"}, "n_symbols": 24, "orbit": ["H", "L", "G", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> T\nU -> B\nF -> W\nE -> O\nV -> Q\nL -> G\nR -> S\nI -> L\nA -> F\nT -> W\nK -> X\nP -> F\nQ -> N\nH -> L\nC -> V\nS -> Q\nD -> A\nW -> H\nX -> I\nG -> E\nN -> S\nB -> T\nM -> H\nO -> T\n\nStart value: H\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B"}, "choices": {"A": "J", "B": "U", "C": "S", "D": "K"}, "depth": 3, "id": "test_d03_00027", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "G", "C": "I", "D": "P", "E": "S", "F": "N", "G": "I", "H": "A", "I": "H", "J": "J", "K": "U", "L": "E", "M": "P", "N": "P", "O": "X", "P": "O", "Q": "B", "R": "D", "S": "K", "T": "F", "U": "A", "V": "G", "W": "I", "X": "K"}, "n_symbols": 24, "orbit": ["E", "S", "K", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> J\nX -> K\nN -> P\nL -> E\nC -> I\nW -> I\nE -> S\nP -> O\nR -> D\nS -> K\nT -> F\nF -> N\nV -> G\nM -> P\nO -> X\nQ -> B\nH -> A\nA -> N\nD -> P\nG -> I\nB -> G\nI -> H\nK -> U\nU -> A\n\nStart value: E\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "U"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "V", "B": "H", "C": "Q", "D": "A"}, "depth": 3, "id": "test_d03_00028", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "A", "C": "D", "D": "N", "E": "R", "F": "J", "G": "S", "H": "V", "I": "C", "J": "N", "K": "O", "L": "Q", "M": "S", "N": "A", "O": "R", "P": "O", "Q": "K", "R": "N", "S": "H", "T": "C", "U": "Q", "V": "V", "W": "J", "X": "R"}, "n_symbols": 24, "orbit": ["B", "A", "H", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> K\nU -> Q\nJ -> N\nF -> J\nP -> O\nN -> A\nB -> A\nV -> V\nX -> R\nR -> N\nG -> S\nK -> O\nO -> R\nT -> C\nC -> D\nH -> V\nM -> S\nL -> Q\nD -> N\nS -> H\nI -> C\nA -> H\nE -> R\nW -> J\n\nStart value: B\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "V"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "J", "B": "B", "C": "E", "D": "N"}, "depth": 3, "id": "test_d03_00029", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "N", "C": "L", "D": "P", "E": "B", "F": "K", "G": "M", "H": "N", "I": "D", "J": "C", "K": "D", "L": "T", "M": "O", "N": "D", "O": "O", "P": "T", "Q": "T", "R": "E", "S": "Q", "T": "A", "U": "L", "V": "A", "W": "J", "X": "G"}, "n_symbols": 24, "orbit": ["R", "E", "B", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> D\nJ -> C\nQ -> T\nV -> A\nP -> T\nM -> O\nX -> G\nC -> L\nG -> M\nF -> K\nA -> P\nI -> D\nE -> B\nL -> T\nR -> E\nS -> Q\nO -> O\nW -> J\nH -> N\nU -> L\nT -> A\nB -> N\nD -> P\nK -> D\n\nStart value: R\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A"}, "choices": {"A": "K", "B": "H", "C": "P", "D": "A"}, "depth": 3, "id": "test_d03_00030", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "U", "C": "H", "D": "U", "E": "P", "F": "J", "G": "I", "H": "P", "I": "L", "J": "F", "K": "D", "L": "N", "M": "K", "N": "T", "O": "G", "P": "K", "Q": "H", "R": "R", "S": "I", "T": "R", "U": "C", "V": "B", "W": "V", "X": "B"}, "n_symbols": 24, "orbit": ["C", "H", "P", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> A\nW -> V\nD -> U\nL -> N\nH -> P\nJ -> F\nP -> K\nO -> G\nI -> L\nF -> J\nG -> I\nN -> T\nM -> K\nK -> D\nU -> C\nV -> B\nE -> P\nT -> R\nR -> R\nC -> H\nB -> U\nS -> I\nX -> B\nQ -> H\n\nStart value: C\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "K"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D"}, "choices": {"A": "C", "B": "B", "C": "E", "D": "K"}, "depth": 3, "id": "test_d03_00031", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "C", "C": "K", "D": "P", "E": "P", "F": "G", "G": "F", "H": "Q", "I": "L", "J": "S", "K": "H", "L": "V", "M": "B", "N": "L", "O": "C", "P": "T", "Q": "X", "R": "U", "S": "A", "T": "N", "U": "E", "V": "C", "W": "M", "X": "F"}, "n_symbols": 24, "orbit": ["M", "B", "C", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> P\nX -> F\nW -> M\nD -> P\nT -> N\nN -> L\nQ -> X\nG -> F\nS -> A\nR -> U\nF -> G\nK -> H\nL -> V\nI -> L\nO -> C\nH -> Q\nU -> E\nA -> X\nV -> C\nJ -> S\nB -> C\nP -> T\nC -> K\nM -> B\n\nStart value: M\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C"}, "choices": {"A": "P", "B": "M", "C": "R", "D": "I"}, "depth": 3, "id": "test_d03_00032", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "M", "C": "T", "D": "D", "E": "J", "F": "W", "G": "L", "H": "M", "I": "R", "J": "F", "K": "X", "L": "L", "M": "X", "N": "M", "O": "D", "P": "I", "Q": "A", "R": "F", "S": "M", "T": "X", "U": "A", "V": "M", "W": "X", "X": "G"}, "n_symbols": 24, "orbit": ["A", "P", "I", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> X\nS -> M\nO -> D\nU -> A\nI -> R\nD -> D\nA -> P\nG -> L\nP -> I\nX -> G\nQ -> A\nB -> M\nJ -> F\nT -> X\nW -> X\nR -> F\nL -> L\nF -> W\nV -> M\nE -> J\nN -> M\nH -> M\nC -> T\nK -> X\n\nStart value: A\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "R"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B"}, "choices": {"A": "Q", "B": "J", "C": "N", "D": "U"}, "depth": 3, "id": "test_d03_00033", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "Q", "C": "J", "D": "N", "E": "N", "F": "H", "G": "A", "H": "T", "I": "I", "J": "T", "K": "K", "L": "N", "M": "L", "N": "Q", "O": "D", "P": "E", "Q": "J", "R": "A", "S": "O", "T": "Q", "U": "W", "V": "M", "W": "I", "X": "O"}, "n_symbols": 24, "orbit": ["D", "N", "Q", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> W\nC -> J\nL -> N\nR -> A\nV -> M\nP -> E\nM -> L\nK -> K\nQ -> J\nO -> D\nA -> M\nG -> A\nN -> Q\nF -> H\nT -> Q\nW -> I\nB -> Q\nE -> N\nJ -> T\nI -> I\nD -> N\nH -> T\nX -> O\nS -> O\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "J"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "F", "B": "U", "C": "I", "D": "V"}, "depth": 3, "id": "test_d03_00034", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "X", "C": "R", "D": "Q", "E": "W", "F": "I", "G": "D", "H": "S", "I": "O", "J": "C", "K": "O", "L": "V", "M": "G", "N": "S", "O": "L", "P": "D", "Q": "V", "R": "V", "S": "Q", "T": "Q", "U": "F", "V": "F", "W": "E", "X": "G"}, "n_symbols": 24, "orbit": ["L", "V", "F", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> F\nA -> R\nH -> S\nI -> O\nF -> I\nN -> S\nP -> D\nX -> G\nL -> V\nB -> X\nW -> E\nR -> V\nG -> D\nM -> G\nC -> R\nO -> L\nD -> Q\nK -> O\nS -> Q\nQ -> V\nT -> Q\nE -> W\nV -> F\nJ -> C\n\nStart value: L\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "I"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "T", "B": "B", "C": "C", "D": "S"}, "depth": 3, "id": "test_d03_00035", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "I", "C": "B", "D": "E", "E": "R", "F": "N", "G": "X", "H": "U", "I": "M", "J": "H", "K": "U", "L": "D", "M": "X", "N": "T", "O": "G", "P": "D", "Q": "B", "R": "L", "S": "W", "T": "C", "U": "H", "V": "G", "W": "B", "X": "E"}, "n_symbols": 24, "orbit": ["N", "T", "C", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> W\nL -> D\nK -> U\nO -> G\nX -> E\nD -> E\nW -> B\nR -> L\nM -> X\nP -> D\nH -> U\nU -> H\nQ -> B\nF -> N\nC -> B\nA -> W\nB -> I\nT -> C\nV -> G\nI -> M\nJ -> H\nE -> R\nN -> T\nG -> X\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "B"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "B", "B": "F", "C": "W", "D": "H"}, "depth": 3, "id": "test_d03_00036", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "F", "C": "J", "D": "P", "E": "O", "F": "B", "G": "F", "H": "F", "I": "M", "J": "U", "K": "R", "L": "X", "M": "U", "N": "H", "O": "E", "P": "B", "Q": "G", "R": "E", "S": "O", "T": "U", "U": "M", "V": "D", "W": "E", "X": "J"}, "n_symbols": 24, "orbit": ["N", "H", "F", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> E\nP -> B\nG -> F\nT -> U\nR -> E\nI -> M\nC -> J\nM -> U\nL -> X\nX -> J\nO -> E\nU -> M\nQ -> G\nJ -> U\nB -> F\nV -> D\nA -> V\nD -> P\nS -> O\nH -> F\nN -> H\nK -> R\nE -> O\nF -> B\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "B"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "P", "B": "I", "C": "H", "D": "K"}, "depth": 3, "id": "test_d03_00037", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "D", "C": "S", "D": "B", "E": "V", "F": "H", "G": "J", "H": "K", "I": "H", "J": "Q", "K": "U", "L": "A", "M": "S", "N": "U", "O": "V", "P": "A", "Q": "R", "R": "I", "S": "J", "T": "R", "U": "Q", "V": "M", "W": "C", "X": "Q"}, "n_symbols": 24, "orbit": ["R", "I", "H", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> A\nX -> Q\nA -> W\nB -> D\nL -> A\nT -> R\nV -> M\nG -> J\nW -> C\nO -> V\nS -> J\nN -> U\nF -> H\nJ -> Q\nR -> I\nU -> Q\nH -> K\nM -> S\nK -> U\nI -> H\nE -> V\nC -> S\nQ -> R\nD -> B\n\nStart value: R\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C"}, "choices": {"A": "A", "B": "G", "C": "X", "D": "K"}, "depth": 3, "id": "test_d03_00038", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "I", "C": "L", "D": "G", "E": "M", "F": "H", "G": "X", "H": "L", "I": "F", "J": "A", "K": "N", "L": "F", "M": "O", "N": "L", "O": "D", "P": "M", "Q": "R", "R": "N", "S": "C", "T": "A", "U": "S", "V": "M", "W": "W", "X": "J"}, "n_symbols": 24, "orbit": ["J", "A", "G", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> N\nF -> H\nS -> C\nX -> J\nA -> G\nN -> L\nQ -> R\nL -> F\nP -> M\nH -> L\nR -> N\nV -> M\nE -> M\nW -> W\nO -> D\nT -> A\nB -> I\nJ -> A\nM -> O\nC -> L\nG -> X\nD -> G\nU -> S\nI -> F\n\nStart value: J\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "X"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D"}, "choices": {"A": "T", "B": "K", "C": "J", "D": "B"}, "depth": 3, "id": "test_d03_00039", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "L", "C": "O", "D": "U", "E": "R", "F": "I", "G": "U", "H": "J", "I": "T", "J": "V", "K": "T", "L": "F", "M": "J", "N": "K", "O": "Q", "P": "D", "Q": "R", "R": "V", "S": "S", "T": "B", "U": "Q", "V": "S", "W": "S", "X": "V"}, "n_symbols": 24, "orbit": ["N", "K", "T", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> V\nG -> U\nW -> S\nM -> J\nK -> T\nH -> J\nF -> I\nV -> S\nX -> V\nU -> Q\nP -> D\nN -> K\nE -> R\nL -> F\nB -> L\nO -> Q\nT -> B\nR -> V\nD -> U\nI -> T\nS -> S\nA -> S\nQ -> R\nC -> O\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "B"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "O", "B": "A", "C": "W", "D": "E"}, "depth": 3, "id": "test_d03_00040", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "M", "C": "O", "D": "W", "E": "S", "F": "A", "G": "X", "H": "N", "I": "C", "J": "R", "K": "T", "L": "D", "M": "W", "N": "T", "O": "W", "P": "E", "Q": "G", "R": "L", "S": "G", "T": "J", "U": "N", "V": "S", "W": "H", "X": "U"}, "n_symbols": 24, "orbit": ["F", "A", "O", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> S\nF -> A\nP -> E\nS -> G\nO -> W\nQ -> G\nV -> S\nL -> D\nR -> L\nW -> H\nT -> J\nM -> W\nB -> M\nJ -> R\nA -> O\nI -> C\nD -> W\nK -> T\nX -> U\nN -> T\nU -> N\nG -> X\nH -> N\nC -> O\n\nStart value: F\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "N", "B": "T", "C": "V", "D": "L"}, "depth": 3, "id": "test_d03_00041", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "X", "C": "F", "D": "A", "E": "D", "F": "E", "G": "P", "H": "H", "I": "L", "J": "U", "K": "V", "L": "V", "M": "A", "N": "O", "O": "C", "P": "M", "Q": "C", "R": "R", "S": "V", "T": "H", "U": "L", "V": "N", "W": "Q", "X": "N"}, "n_symbols": 24, "orbit": ["U", "L", "V", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> H\nR -> R\nM -> A\nX -> N\nU -> L\nC -> F\nL -> V\nN -> O\nO -> C\nH -> H\nK -> V\nI -> L\nE -> D\nS -> V\nB -> X\nA -> F\nW -> Q\nJ -> U\nQ -> C\nF -> E\nV -> N\nP -> M\nG -> P\nD -> A\n\nStart value: U\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "B", "B": "V", "C": "M", "D": "D"}, "depth": 3, "id": "test_d03_00042", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "A", "C": "S", "D": "V", "E": "X", "F": "R", "G": "B", "H": "U", "I": "S", "J": "B", "K": "R", "L": "V", "M": "W", "N": "F", "O": "D", "P": "G", "Q": "S", "R": "E", "S": "H", "T": "P", "U": "A", "V": "B", "W": "T", "X": "N"}, "n_symbols": 24, "orbit": ["O", "D", "V", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> W\nR -> E\nJ -> B\nI -> S\nP -> G\nC -> S\nK -> R\nU -> A\nW -> T\nD -> V\nX -> N\nB -> A\nG -> B\nQ -> S\nA -> S\nN -> F\nS -> H\nF -> R\nL -> V\nT -> P\nH -> U\nE -> X\nO -> D\nV -> B\n\nStart value: O\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "B"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "L", "B": "B", "C": "J", "D": "D"}, "depth": 3, "id": "test_d03_00043", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "X", "C": "P", "D": "J", "E": "X", "F": "L", "G": "D", "H": "N", "I": "R", "J": "L", "K": "B", "L": "A", "M": "G", "N": "S", "O": "D", "P": "V", "Q": "F", "R": "B", "S": "K", "T": "F", "U": "D", "V": "E", "W": "C", "X": "T"}, "n_symbols": 24, "orbit": ["O", "D", "J", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> X\nM -> G\nX -> T\nE -> X\nP -> V\nH -> N\nN -> S\nG -> D\nO -> D\nF -> L\nS -> K\nD -> J\nU -> D\nQ -> F\nK -> B\nW -> C\nV -> E\nI -> R\nA -> G\nC -> P\nR -> B\nL -> A\nJ -> L\nT -> F\n\nStart value: O\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "Q", "B": "U", "C": "D", "D": "F"}, "depth": 3, "id": "test_d03_00044", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "X", "C": "V", "D": "Q", "E": "C", "F": "D", "G": "F", "H": "K", "I": "E", "J": "J", "K": "K", "L": "C", "M": "X", "N": "Q", "O": "F", "P": "M", "Q": "Q", "R": "M", "S": "P", "T": "K", "U": "D", "V": "T", "W": "J", "X": "R"}, "n_symbols": 24, "orbit": ["G", "F", "D", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> D\nM -> X\nD -> Q\nJ -> J\nW -> J\nP -> M\nB -> X\nR -> M\nF -> D\nG -> F\nQ -> Q\nO -> F\nT -> K\nS -> P\nX -> R\nN -> Q\nV -> T\nL -> C\nK -> K\nI -> E\nH -> K\nC -> V\nA -> S\nE -> C\n\nStart value: G\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "W", "B": "N", "C": "C", "D": "H"}, "depth": 3, "id": "test_d03_00045", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "E", "C": "N", "D": "N", "E": "L", "F": "M", "G": "H", "H": "N", "I": "Q", "J": "W", "K": "R", "L": "B", "M": "M", "N": "W", "O": "L", "P": "N", "Q": "P", "R": "T", "S": "T", "T": "H", "U": "E", "V": "H", "W": "D", "X": "V"}, "n_symbols": 24, "orbit": ["G", "H", "N", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> N\nP -> N\nX -> V\nI -> Q\nG -> H\nL -> B\nT -> H\nM -> M\nJ -> W\nN -> W\nV -> H\nU -> E\nD -> N\nQ -> P\nA -> P\nO -> L\nB -> E\nF -> M\nW -> D\nE -> L\nH -> N\nS -> T\nK -> R\nR -> T\n\nStart value: G\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "G", "B": "S", "C": "M", "D": "O"}, "depth": 3, "id": "test_d03_00046", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "V", "C": "H", "D": "J", "E": "T", "F": "G", "G": "I", "H": "V", "I": "G", "J": "M", "K": "W", "L": "L", "M": "S", "N": "J", "O": "T", "P": "O", "Q": "F", "R": "L", "S": "O", "T": "O", "U": "U", "V": "N", "W": "U", "X": "E"}, "n_symbols": 24, "orbit": ["A", "M", "S", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> S\nG -> I\nC -> H\nX -> E\nR -> L\nL -> L\nE -> T\nJ -> M\nK -> W\nN -> J\nQ -> F\nT -> O\nO -> T\nD -> J\nW -> U\nV -> N\nA -> M\nP -> O\nI -> G\nB -> V\nS -> O\nH -> V\nF -> G\nU -> U\n\nStart value: A\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "O"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B"}, "choices": {"A": "H", "B": "M", "C": "Q", "D": "P"}, "depth": 3, "id": "test_d03_00047", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "A", "C": "O", "D": "J", "E": "N", "F": "P", "G": "J", "H": "Q", "I": "X", "J": "A", "K": "F", "L": "W", "M": "C", "N": "T", "O": "E", "P": "M", "Q": "P", "R": "B", "S": "I", "T": "P", "U": "H", "V": "U", "W": "Q", "X": "D"}, "n_symbols": 24, "orbit": ["H", "Q", "P", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> Q\nO -> E\nR -> B\nA -> A\nP -> M\nE -> N\nG -> J\nM -> C\nV -> U\nI -> X\nF -> P\nS -> I\nC -> O\nD -> J\nJ -> A\nT -> P\nN -> T\nX -> D\nQ -> P\nB -> A\nL -> W\nK -> F\nU -> H\nW -> Q\n\nStart value: H\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "E", "B": "W", "C": "N", "D": "M"}, "depth": 3, "id": "test_d03_00048", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "E", "C": "B", "D": "T", "E": "N", "F": "C", "G": "U", "H": "T", "I": "P", "J": "L", "K": "Q", "L": "V", "M": "P", "N": "W", "O": "O", "P": "P", "Q": "T", "R": "S", "S": "D", "T": "S", "U": "W", "V": "I", "W": "B", "X": "I"}, "n_symbols": 24, "orbit": ["B", "E", "N", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> P\nD -> T\nH -> T\nO -> O\nJ -> L\nA -> M\nE -> N\nT -> S\nN -> W\nV -> I\nR -> S\nQ -> T\nW -> B\nU -> W\nI -> P\nB -> E\nS -> D\nP -> P\nL -> V\nF -> C\nK -> Q\nG -> U\nX -> I\nC -> B\n\nStart value: B\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D"}, "choices": {"A": "U", "B": "V", "C": "H", "D": "F"}, "depth": 3, "id": "test_d03_00049", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "E", "C": "X", "D": "D", "E": "H", "F": "I", "G": "T", "H": "O", "I": "E", "J": "T", "K": "R", "L": "J", "M": "H", "N": "T", "O": "Q", "P": "V", "Q": "O", "R": "O", "S": "R", "T": "O", "U": "V", "V": "F", "W": "N", "X": "I"}, "n_symbols": 24, "orbit": ["A", "U", "V", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> O\nL -> J\nE -> H\nM -> H\nP -> V\nS -> R\nQ -> O\nV -> F\nG -> T\nN -> T\nU -> V\nO -> Q\nK -> R\nR -> O\nA -> U\nF -> I\nJ -> T\nI -> E\nD -> D\nC -> X\nT -> O\nX -> I\nW -> N\nB -> E\n\nStart value: A\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "F"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A"}, "choices": {"A": "C", "B": "G", "C": "H", "D": "D"}, "depth": 3, "id": "test_d03_00050", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "R", "C": "G", "D": "W", "E": "U", "F": "I", "G": "H", "H": "C", "I": "L", "J": "A", "K": "L", "L": "G", "M": "D", "N": "I", "O": "I", "P": "D", "Q": "J", "R": "V", "S": "G", "T": "V", "U": "M", "V": "N", "W": "P", "X": "X"}, "n_symbols": 24, "orbit": ["S", "G", "H", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> W\nF -> I\nJ -> A\nS -> G\nM -> D\nQ -> J\nN -> I\nV -> N\nP -> D\nK -> L\nH -> C\nU -> M\nB -> R\nW -> P\nE -> U\nA -> L\nR -> V\nO -> I\nL -> G\nI -> L\nC -> G\nG -> H\nX -> X\nT -> V\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "C"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "A"}, "choices": {"A": "Q", "B": "X", "C": "A", "D": "J"}, "depth": 3, "id": "test_d03_00051", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "T", "C": "P", "D": "I", "E": "R", "F": "N", "G": "T", "H": "H", "I": "C", "J": "Q", "K": "G", "L": "F", "M": "U", "N": "S", "O": "I", "P": "A", "Q": "S", "R": "N", "S": "R", "T": "C", "U": "S", "V": "B", "W": "X", "X": "Q"}, "n_symbols": 24, "orbit": ["P", "A", "X", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> Q\nA -> X\nK -> G\nU -> S\nP -> A\nT -> C\nB -> T\nR -> N\nD -> I\nE -> R\nN -> S\nF -> N\nO -> I\nH -> H\nS -> R\nV -> B\nW -> X\nI -> C\nG -> T\nM -> U\nL -> F\nQ -> S\nC -> P\nX -> Q\n\nStart value: P\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "Q"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C"}, "choices": {"A": "C", "B": "M", "C": "I", "D": "H"}, "depth": 3, "id": "test_d03_00052", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "I", "C": "V", "D": "U", "E": "U", "F": "V", "G": "U", "H": "I", "I": "L", "J": "N", "K": "G", "L": "R", "M": "H", "N": "G", "O": "E", "P": "X", "Q": "K", "R": "F", "S": "K", "T": "O", "U": "L", "V": "R", "W": "Q", "X": "M"}, "n_symbols": 24, "orbit": ["X", "M", "H", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> V\nI -> L\nT -> O\nQ -> K\nH -> I\nN -> G\nK -> G\nO -> E\nE -> U\nA -> F\nL -> R\nB -> I\nV -> R\nM -> H\nP -> X\nW -> Q\nF -> V\nX -> M\nG -> U\nR -> F\nD -> U\nS -> K\nJ -> N\nU -> L\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "I"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "A"}, "choices": {"A": "C", "B": "P", "C": "V", "D": "A"}, "depth": 3, "id": "test_d03_00053", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "K", "C": "D", "D": "R", "E": "X", "F": "K", "G": "B", "H": "S", "I": "X", "J": "O", "K": "V", "L": "C", "M": "I", "N": "W", "O": "F", "P": "C", "Q": "P", "R": "K", "S": "H", "T": "P", "U": "X", "V": "P", "W": "W", "X": "E"}, "n_symbols": 24, "orbit": ["K", "V", "P", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> K\nK -> V\nL -> C\nD -> R\nR -> K\nC -> D\nP -> C\nV -> P\nS -> H\nT -> P\nQ -> P\nB -> K\nX -> E\nJ -> O\nO -> F\nE -> X\nF -> K\nU -> X\nW -> W\nG -> B\nI -> X\nN -> W\nH -> S\nM -> I\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "C"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C"}, "choices": {"A": "G", "B": "W", "C": "R", "D": "T"}, "depth": 3, "id": "test_d03_00054", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "K", "C": "S", "D": "R", "E": "U", "F": "I", "G": "T", "H": "D", "I": "E", "J": "X", "K": "M", "L": "L", "M": "J", "N": "H", "O": "L", "P": "G", "Q": "J", "R": "P", "S": "N", "T": "R", "U": "E", "V": "F", "W": "I", "X": "H"}, "n_symbols": 24, "orbit": ["P", "G", "T", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> I\nS -> N\nV -> F\nP -> G\nO -> L\nM -> J\nX -> H\nQ -> J\nL -> L\nK -> M\nA -> U\nD -> R\nJ -> X\nG -> T\nU -> E\nI -> E\nC -> S\nF -> I\nR -> P\nH -> D\nN -> H\nB -> K\nE -> U\nT -> R\n\nStart value: P\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "R"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D"}, "choices": {"A": "T", "B": "N", "C": "X", "D": "R"}, "depth": 3, "id": "test_d03_00055", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "U", "C": "R", "D": "A", "E": "C", "F": "B", "G": "L", "H": "N", "I": "E", "J": "P", "K": "D", "L": "Q", "M": "R", "N": "T", "O": "F", "P": "B", "Q": "E", "R": "C", "S": "W", "T": "R", "U": "I", "V": "R", "W": "N", "X": "L"}, "n_symbols": 24, "orbit": ["H", "N", "T", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> L\nT -> R\nQ -> E\nW -> N\nP -> B\nG -> L\nS -> W\nL -> Q\nN -> T\nK -> D\nA -> R\nR -> C\nD -> A\nF -> B\nC -> R\nJ -> P\nM -> R\nE -> C\nI -> E\nH -> N\nV -> R\nB -> U\nO -> F\nU -> I\n\nStart value: H\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "R"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "T", "B": "D", "C": "N", "D": "V"}, "depth": 3, "id": "test_d03_00056", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "U", "C": "N", "D": "K", "E": "Q", "F": "N", "G": "V", "H": "C", "I": "A", "J": "R", "K": "K", "L": "V", "M": "E", "N": "S", "O": "O", "P": "U", "Q": "V", "R": "W", "S": "J", "T": "N", "U": "J", "V": "T", "W": "V", "X": "A"}, "n_symbols": 24, "orbit": ["G", "V", "T", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> K\nS -> J\nL -> V\nK -> K\nM -> E\nB -> U\nC -> N\nH -> C\nQ -> V\nW -> V\nE -> Q\nU -> J\nV -> T\nO -> O\nJ -> R\nF -> N\nP -> U\nN -> S\nI -> A\nX -> A\nA -> G\nR -> W\nT -> N\nG -> V\n\nStart value: G\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D"}, "choices": {"A": "W", "B": "L", "C": "D", "D": "N"}, "depth": 3, "id": "test_d03_00057", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "D", "C": "C", "D": "W", "E": "K", "F": "S", "G": "E", "H": "F", "I": "C", "J": "S", "K": "S", "L": "E", "M": "P", "N": "Q", "O": "L", "P": "I", "Q": "Q", "R": "F", "S": "H", "T": "D", "U": "S", "V": "O", "W": "N", "X": "W"}, "n_symbols": 24, "orbit": ["T", "D", "W", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> E\nH -> F\nX -> W\nF -> S\nN -> Q\nR -> F\nB -> D\nP -> I\nA -> S\nO -> L\nW -> N\nG -> E\nC -> C\nJ -> S\nS -> H\nD -> W\nU -> S\nT -> D\nM -> P\nK -> S\nV -> O\nE -> K\nI -> C\nQ -> Q\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D"}, "choices": {"A": "X", "B": "H", "C": "S", "D": "L"}, "depth": 3, "id": "test_d03_00058", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "Q", "C": "V", "D": "F", "E": "H", "F": "L", "G": "N", "H": "X", "I": "A", "J": "B", "K": "Q", "L": "T", "M": "L", "N": "H", "O": "N", "P": "O", "Q": "L", "R": "R", "S": "K", "T": "H", "U": "C", "V": "J", "W": "S", "X": "L"}, "n_symbols": 24, "orbit": ["N", "H", "X", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> K\nV -> J\nL -> T\nM -> L\nE -> H\nX -> L\nJ -> B\nR -> R\nG -> N\nC -> V\nH -> X\nO -> N\nB -> Q\nU -> C\nI -> A\nF -> L\nN -> H\nT -> H\nP -> O\nQ -> L\nD -> F\nK -> Q\nW -> S\nA -> H\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "L"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "J", "B": "I", "C": "Q", "D": "E"}, "depth": 3, "id": "test_d03_00059", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "E", "C": "U", "D": "J", "E": "J", "F": "N", "G": "E", "H": "F", "I": "E", "J": "H", "K": "J", "L": "L", "M": "O", "N": "L", "O": "Q", "P": "R", "Q": "I", "R": "M", "S": "L", "T": "J", "U": "S", "V": "V", "W": "I", "X": "C"}, "n_symbols": 24, "orbit": ["O", "Q", "I", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> H\nC -> U\nV -> V\nN -> L\nK -> J\nM -> O\nO -> Q\nF -> N\nH -> F\nG -> E\nE -> J\nQ -> I\nX -> C\nT -> J\nR -> M\nW -> I\nI -> E\nS -> L\nD -> J\nP -> R\nU -> S\nL -> L\nB -> E\nA -> P\n\nStart value: O\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "E"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C"}, "choices": {"A": "A", "B": "P", "C": "W", "D": "B"}, "depth": 3, "id": "test_d03_00060", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "W", "C": "K", "D": "L", "E": "H", "F": "Q", "G": "J", "H": "A", "I": "X", "J": "S", "K": "P", "L": "V", "M": "D", "N": "V", "O": "W", "P": "R", "Q": "Q", "R": "A", "S": "P", "T": "A", "U": "E", "V": "P", "W": "C", "X": "X"}, "n_symbols": 24, "orbit": ["T", "A", "B", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> R\nE -> H\nS -> P\nA -> B\nG -> J\nI -> X\nO -> W\nK -> P\nB -> W\nN -> V\nC -> K\nU -> E\nR -> A\nQ -> Q\nH -> A\nX -> X\nW -> C\nL -> V\nF -> Q\nJ -> S\nT -> A\nD -> L\nV -> P\nM -> D\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "W"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B"}, "choices": {"A": "O", "B": "T", "C": "W", "D": "N"}, "depth": 3, "id": "test_d03_00061", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "W", "C": "B", "D": "U", "E": "N", "F": "W", "G": "G", "H": "H", "I": "F", "J": "C", "K": "C", "L": "F", "M": "B", "N": "O", "O": "T", "P": "N", "Q": "G", "R": "Q", "S": "N", "T": "L", "U": "R", "V": "D", "W": "R", "X": "X"}, "n_symbols": 24, "orbit": ["S", "N", "O", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> R\nI -> F\nL -> F\nB -> W\nE -> N\nQ -> G\nG -> G\nN -> O\nP -> N\nJ -> C\nS -> N\nR -> Q\nM -> B\nA -> I\nO -> T\nT -> L\nC -> B\nD -> U\nV -> D\nX -> X\nF -> W\nU -> R\nK -> C\nH -> H\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "O", "B": "M", "C": "Q", "D": "P"}, "depth": 3, "id": "test_d03_00062", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "G", "C": "B", "D": "N", "E": "A", "F": "C", "G": "M", "H": "B", "I": "R", "J": "M", "K": "J", "L": "M", "M": "O", "N": "L", "O": "Q", "P": "F", "Q": "W", "R": "R", "S": "V", "T": "I", "U": "P", "V": "U", "W": "Q", "X": "A"}, "n_symbols": 24, "orbit": ["J", "M", "O", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> F\nF -> C\nR -> R\nD -> N\nS -> V\nO -> Q\nN -> L\nH -> B\nE -> A\nQ -> W\nA -> G\nC -> B\nG -> M\nJ -> M\nU -> P\nT -> I\nK -> J\nM -> O\nW -> Q\nX -> A\nV -> U\nL -> M\nB -> G\nI -> R\n\nStart value: J\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "Q"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "G", "B": "R", "C": "P", "D": "U"}, "depth": 3, "id": "test_d03_00063", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "F", "C": "M", "D": "F", "E": "D", "F": "X", "G": "P", "H": "H", "I": "O", "J": "Q", "K": "E", "L": "E", "M": "R", "N": "V", "O": "D", "P": "E", "Q": "L", "R": "G", "S": "A", "T": "T", "U": "P", "V": "X", "W": "P", "X": "B"}, "n_symbols": 24, "orbit": ["M", "R", "G", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> P\nJ -> Q\nP -> E\nT -> T\nK -> E\nI -> O\nR -> G\nX -> B\nM -> R\nW -> P\nD -> F\nC -> M\nE -> D\nV -> X\nA -> K\nF -> X\nS -> A\nB -> F\nH -> H\nL -> E\nN -> V\nQ -> L\nO -> D\nG -> P\n\nStart value: M\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "P"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "A"}, "choices": {"A": "E", "B": "T", "C": "H", "D": "D"}, "depth": 3, "id": "test_d03_00064", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "P", "C": "B", "D": "S", "E": "M", "F": "I", "G": "S", "H": "T", "I": "X", "J": "E", "K": "J", "L": "M", "M": "J", "N": "O", "O": "C", "P": "U", "Q": "E", "R": "V", "S": "U", "T": "E", "U": "K", "V": "G", "W": "H", "X": "V"}, "n_symbols": 24, "orbit": ["W", "H", "T", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> S\nX -> V\nC -> B\nG -> S\nR -> V\nU -> K\nB -> P\nK -> J\nV -> G\nA -> A\nP -> U\nH -> T\nJ -> E\nI -> X\nW -> H\nO -> C\nF -> I\nQ -> E\nL -> M\nS -> U\nN -> O\nT -> E\nE -> M\nM -> J\n\nStart value: W\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "E"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "K", "B": "X", "C": "C", "D": "F"}, "depth": 3, "id": "test_d03_00065", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "D", "C": "F", "D": "B", "E": "L", "F": "K", "G": "Q", "H": "E", "I": "R", "J": "V", "K": "O", "L": "O", "M": "C", "N": "O", "O": "M", "P": "P", "Q": "S", "R": "M", "S": "K", "T": "Q", "U": "M", "V": "E", "W": "E", "X": "T"}, "n_symbols": 24, "orbit": ["M", "C", "F", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> T\nV -> E\nW -> E\nM -> C\nS -> K\nP -> P\nN -> O\nJ -> V\nL -> O\nI -> R\nQ -> S\nR -> M\nC -> F\nK -> O\nT -> Q\nD -> B\nA -> D\nE -> L\nF -> K\nG -> Q\nU -> M\nB -> D\nO -> M\nH -> E\n\nStart value: M\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C"}, "choices": {"A": "B", "B": "Q", "C": "X", "D": "W"}, "depth": 3, "id": "test_d03_00066", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "Q", "C": "N", "D": "G", "E": "L", "F": "E", "G": "R", "H": "U", "I": "X", "J": "E", "K": "I", "L": "V", "M": "K", "N": "R", "O": "D", "P": "K", "Q": "X", "R": "X", "S": "B", "T": "A", "U": "N", "V": "O", "W": "H", "X": "K"}, "n_symbols": 24, "orbit": ["S", "B", "Q", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> H\nI -> X\nB -> Q\nE -> L\nG -> R\nL -> V\nD -> G\nX -> K\nJ -> E\nO -> D\nF -> E\nC -> N\nN -> R\nV -> O\nU -> N\nK -> I\nT -> A\nH -> U\nQ -> X\nR -> X\nA -> W\nM -> K\nP -> K\nS -> B\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "T", "B": "D", "C": "I", "D": "L"}, "depth": 3, "id": "test_d03_00067", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "A", "C": "E", "D": "W", "E": "L", "F": "F", "G": "G", "H": "I", "I": "S", "J": "L", "K": "F", "L": "T", "M": "E", "N": "K", "O": "J", "P": "B", "Q": "H", "R": "K", "S": "G", "T": "I", "U": "B", "V": "N", "W": "E", "X": "O"}, "n_symbols": 24, "orbit": ["E", "L", "T", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> W\nP -> B\nN -> K\nE -> L\nW -> E\nH -> I\nK -> F\nS -> G\nM -> E\nL -> T\nR -> K\nQ -> H\nT -> I\nC -> E\nU -> B\nB -> A\nX -> O\nA -> V\nG -> G\nO -> J\nF -> F\nI -> S\nJ -> L\nV -> N\n\nStart value: E\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "O", "B": "X", "C": "L", "D": "M"}, "depth": 3, "id": "test_d03_00068", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "L", "C": "G", "D": "P", "E": "R", "F": "Q", "G": "T", "H": "K", "I": "L", "J": "L", "K": "F", "L": "X", "M": "H", "N": "X", "O": "C", "P": "I", "Q": "A", "R": "W", "S": "K", "T": "O", "U": "S", "V": "J", "W": "B", "X": "M"}, "n_symbols": 24, "orbit": ["J", "L", "X", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> C\nL -> X\nB -> L\nN -> X\nH -> K\nU -> S\nT -> O\nM -> H\nX -> M\nE -> R\nJ -> L\nP -> I\nA -> M\nK -> F\nD -> P\nV -> J\nG -> T\nW -> B\nR -> W\nQ -> A\nF -> Q\nI -> L\nC -> G\nS -> K\n\nStart value: J\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "G", "B": "A", "C": "F", "D": "Q"}, "depth": 3, "id": "test_d03_00069", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "H", "C": "G", "D": "P", "E": "U", "F": "Q", "G": "P", "H": "L", "I": "O", "J": "P", "K": "X", "L": "S", "M": "X", "N": "V", "O": "A", "P": "E", "Q": "X", "R": "O", "S": "K", "T": "H", "U": "V", "V": "X", "W": "J", "X": "A"}, "n_symbols": 24, "orbit": ["O", "A", "F", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> P\nS -> K\nD -> P\nJ -> P\nP -> E\nR -> O\nX -> A\nQ -> X\nH -> L\nW -> J\nL -> S\nT -> H\nM -> X\nF -> Q\nK -> X\nI -> O\nC -> G\nA -> F\nO -> A\nV -> X\nB -> H\nN -> V\nE -> U\nU -> V\n\nStart value: O\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "T", "B": "O", "C": "W", "D": "Q"}, "depth": 3, "id": "test_d03_00070", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "A", "C": "D", "D": "L", "E": "H", "F": "F", "G": "H", "H": "L", "I": "S", "J": "A", "K": "E", "L": "K", "M": "O", "N": "M", "O": "W", "P": "B", "Q": "G", "R": "Q", "S": "P", "T": "V", "U": "L", "V": "D", "W": "Q", "X": "C"}, "n_symbols": 24, "orbit": ["M", "O", "W", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> V\nR -> Q\nI -> S\nM -> O\nN -> M\nB -> A\nG -> H\nA -> E\nL -> K\nV -> D\nJ -> A\nP -> B\nC -> D\nO -> W\nW -> Q\nQ -> G\nD -> L\nF -> F\nK -> E\nU -> L\nE -> H\nS -> P\nH -> L\nX -> C\n\nStart value: M\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "Q"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "X", "B": "J", "C": "R", "D": "E"}, "depth": 3, "id": "test_d03_00071", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "P", "C": "W", "D": "H", "E": "J", "F": "U", "G": "U", "H": "C", "I": "W", "J": "R", "K": "P", "L": "Q", "M": "Q", "N": "E", "O": "E", "P": "J", "Q": "L", "R": "E", "S": "J", "T": "E", "U": "O", "V": "H", "W": "T", "X": "S"}, "n_symbols": 24, "orbit": ["P", "J", "R", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> S\nW -> T\nS -> J\nG -> U\nJ -> R\nL -> Q\nM -> Q\nV -> H\nI -> W\nH -> C\nE -> J\nA -> J\nN -> E\nD -> H\nT -> E\nP -> J\nO -> E\nF -> U\nQ -> L\nR -> E\nU -> O\nB -> P\nC -> W\nK -> P\n\nStart value: P\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "E"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "D", "B": "H", "C": "I", "D": "G"}, "depth": 3, "id": "test_d03_00072", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "C", "C": "Q", "D": "G", "E": "A", "F": "A", "G": "I", "H": "F", "I": "D", "J": "Q", "K": "Q", "L": "P", "M": "A", "N": "A", "O": "U", "P": "D", "Q": "H", "R": "W", "S": "S", "T": "G", "U": "V", "V": "U", "W": "P", "X": "E"}, "n_symbols": 24, "orbit": ["T", "G", "I", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> F\nR -> W\nV -> U\nU -> V\nS -> S\nC -> Q\nM -> A\nA -> W\nE -> A\nX -> E\nO -> U\nG -> I\nT -> G\nP -> D\nQ -> H\nK -> Q\nF -> A\nL -> P\nD -> G\nJ -> Q\nN -> A\nW -> P\nB -> C\nI -> D\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "D"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D"}, "choices": {"A": "V", "B": "X", "C": "D", "D": "L"}, "depth": 3, "id": "test_d03_00073", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "U", "C": "E", "D": "V", "E": "F", "F": "J", "G": "Q", "H": "H", "I": "L", "J": "L", "K": "A", "L": "N", "M": "D", "N": "O", "O": "V", "P": "D", "Q": "B", "R": "R", "S": "O", "T": "M", "U": "D", "V": "L", "W": "G", "X": "C"}, "n_symbols": 24, "orbit": ["M", "D", "V", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> C\nJ -> L\nC -> E\nG -> Q\nW -> G\nD -> V\nB -> U\nI -> L\nN -> O\nO -> V\nH -> H\nK -> A\nP -> D\nF -> J\nM -> D\nV -> L\nL -> N\nU -> D\nS -> O\nT -> M\nR -> R\nE -> F\nQ -> B\nA -> B\n\nStart value: M\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B"}, "choices": {"A": "O", "B": "N", "C": "U", "D": "E"}, "depth": 3, "id": "test_d03_00074", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "R", "C": "T", "D": "E", "E": "L", "F": "O", "G": "B", "H": "U", "I": "B", "J": "O", "K": "O", "L": "L", "M": "C", "N": "F", "O": "N", "P": "R", "Q": "S", "R": "U", "S": "I", "T": "J", "U": "O", "V": "K", "W": "K", "X": "P"}, "n_symbols": 24, "orbit": ["H", "U", "O", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> L\nX -> P\nS -> I\nA -> F\nR -> U\nF -> O\nK -> O\nO -> N\nW -> K\nP -> R\nN -> F\nV -> K\nQ -> S\nC -> T\nJ -> O\nG -> B\nL -> L\nD -> E\nB -> R\nH -> U\nM -> C\nU -> O\nI -> B\nT -> J\n\nStart value: H\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "Q", "B": "C", "C": "N", "D": "P"}, "depth": 3, "id": "test_d03_00075", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "V", "C": "I", "D": "H", "E": "T", "F": "L", "G": "V", "H": "H", "I": "X", "J": "A", "K": "J", "L": "J", "M": "C", "N": "Q", "O": "O", "P": "N", "Q": "W", "R": "J", "S": "P", "T": "P", "U": "Q", "V": "T", "W": "N", "X": "L"}, "n_symbols": 24, "orbit": ["S", "P", "N", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> I\nF -> L\nG -> V\nJ -> A\nR -> J\nP -> N\nW -> N\nH -> H\nM -> C\nB -> V\nT -> P\nX -> L\nS -> P\nK -> J\nV -> T\nE -> T\nL -> J\nU -> Q\nQ -> W\nA -> F\nN -> Q\nD -> H\nO -> O\nI -> X\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "Q"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "U", "B": "B", "C": "N", "D": "K"}, "depth": 3, "id": "test_d03_00076", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "B", "C": "L", "D": "G", "E": "K", "F": "I", "G": "U", "H": "N", "I": "Q", "J": "P", "K": "U", "L": "F", "M": "U", "N": "V", "O": "H", "P": "X", "Q": "V", "R": "P", "S": "D", "T": "X", "U": "N", "V": "M", "W": "O", "X": "M"}, "n_symbols": 24, "orbit": ["E", "K", "U", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> B\nK -> U\nS -> D\nR -> P\nW -> O\nT -> X\nA -> E\nJ -> P\nN -> V\nP -> X\nD -> G\nF -> I\nX -> M\nU -> N\nO -> H\nE -> K\nV -> M\nH -> N\nC -> L\nQ -> V\nG -> U\nM -> U\nL -> F\nI -> Q\n\nStart value: E\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "N"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B"}, "choices": {"A": "V", "B": "O", "C": "U", "D": "E"}, "depth": 3, "id": "test_d03_00077", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "R", "C": "N", "D": "V", "E": "O", "F": "H", "G": "G", "H": "L", "I": "U", "J": "X", "K": "E", "L": "A", "M": "W", "N": "L", "O": "W", "P": "V", "Q": "H", "R": "W", "S": "U", "T": "I", "U": "E", "V": "R", "W": "G", "X": "U"}, "n_symbols": 24, "orbit": ["I", "U", "E", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> O\nO -> W\nV -> R\nC -> N\nF -> H\nX -> U\nM -> W\nJ -> X\nR -> W\nL -> A\nG -> G\nB -> R\nH -> L\nD -> V\nT -> I\nQ -> H\nI -> U\nW -> G\nP -> V\nK -> E\nS -> U\nN -> L\nU -> E\nA -> H\n\nStart value: I\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "O"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "U", "B": "H", "C": "B", "D": "L"}, "depth": 3, "id": "test_d03_00078", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "F", "C": "W", "D": "V", "E": "L", "F": "C", "G": "S", "H": "U", "I": "H", "J": "U", "K": "F", "L": "G", "M": "S", "N": "P", "O": "N", "P": "W", "Q": "Q", "R": "O", "S": "J", "T": "I", "U": "B", "V": "E", "W": "U", "X": "A"}, "n_symbols": 24, "orbit": ["I", "H", "U", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> G\nA -> M\nV -> E\nB -> F\nS -> J\nX -> A\nT -> I\nN -> P\nW -> U\nG -> S\nQ -> Q\nF -> C\nE -> L\nM -> S\nH -> U\nP -> W\nD -> V\nI -> H\nU -> B\nK -> F\nJ -> U\nO -> N\nC -> W\nR -> O\n\nStart value: I\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "B"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "D"}, "choices": {"A": "U", "B": "E", "C": "C", "D": "K"}, "depth": 3, "id": "test_d03_00079", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "B", "C": "K", "D": "J", "E": "O", "F": "R", "G": "K", "H": "M", "I": "V", "J": "R", "K": "S", "L": "S", "M": "B", "N": "S", "O": "B", "P": "I", "Q": "A", "R": "N", "S": "U", "T": "O", "U": "C", "V": "B", "W": "T", "X": "U"}, "n_symbols": 24, "orbit": ["S", "U", "C", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> C\nE -> O\nG -> K\nX -> U\nF -> R\nN -> S\nR -> N\nQ -> A\nJ -> R\nD -> J\nV -> B\nT -> O\nL -> S\nB -> B\nA -> C\nS -> U\nW -> T\nP -> I\nO -> B\nH -> M\nK -> S\nC -> K\nI -> V\nM -> B\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "K"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D"}, "choices": {"A": "P", "B": "K", "C": "L", "D": "V"}, "depth": 3, "id": "test_d03_00080", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "C", "C": "S", "D": "B", "E": "G", "F": "H", "G": "W", "H": "I", "I": "H", "J": "U", "K": "V", "L": "T", "M": "C", "N": "T", "O": "O", "P": "K", "Q": "B", "R": "T", "S": "T", "T": "Q", "U": "J", "V": "G", "W": "F", "X": "P"}, "n_symbols": 24, "orbit": ["X", "P", "K", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> T\nG -> W\nE -> G\nM -> C\nO -> O\nQ -> B\nT -> Q\nX -> P\nJ -> U\nR -> T\nK -> V\nU -> J\nD -> B\nS -> T\nB -> C\nI -> H\nP -> K\nV -> G\nH -> I\nA -> N\nC -> S\nN -> T\nW -> F\nF -> H\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "V"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "L", "B": "M", "C": "K", "D": "I"}, "depth": 3, "id": "test_d03_00081", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "I", "C": "I", "D": "M", "E": "L", "F": "Q", "G": "T", "H": "F", "I": "C", "J": "T", "K": "I", "L": "W", "M": "K", "N": "T", "O": "L", "P": "W", "Q": "S", "R": "S", "S": "J", "T": "P", "U": "L", "V": "V", "W": "D", "X": "C"}, "n_symbols": 24, "orbit": ["D", "M", "K", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> W\nU -> L\nK -> I\nQ -> S\nH -> F\nD -> M\nT -> P\nF -> Q\nA -> H\nJ -> T\nE -> L\nR -> S\nV -> V\nO -> L\nS -> J\nI -> C\nC -> I\nW -> D\nP -> W\nM -> K\nX -> C\nB -> I\nN -> T\nG -> T\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "I"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A"}, "choices": {"A": "K", "B": "Q", "C": "V", "D": "X"}, "depth": 3, "id": "test_d03_00082", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "R", "C": "C", "D": "L", "E": "N", "F": "K", "G": "A", "H": "F", "I": "Q", "J": "H", "K": "J", "L": "O", "M": "N", "N": "K", "O": "F", "P": "U", "Q": "X", "R": "V", "S": "E", "T": "X", "U": "U", "V": "N", "W": "X", "X": "K"}, "n_symbols": 24, "orbit": ["I", "Q", "X", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> N\nQ -> X\nA -> D\nP -> U\nS -> E\nI -> Q\nF -> K\nN -> K\nK -> J\nE -> N\nO -> F\nX -> K\nR -> V\nM -> N\nU -> U\nD -> L\nT -> X\nJ -> H\nC -> C\nH -> F\nW -> X\nB -> R\nG -> A\nL -> O\n\nStart value: I\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "K"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B"}, "choices": {"A": "D", "B": "S", "C": "C", "D": "T"}, "depth": 3, "id": "test_d03_00083", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "K", "C": "Q", "D": "T", "E": "M", "F": "W", "G": "U", "H": "H", "I": "X", "J": "H", "K": "A", "L": "T", "M": "A", "N": "G", "O": "G", "P": "N", "Q": "M", "R": "E", "S": "C", "T": "S", "U": "B", "V": "I", "W": "O", "X": "D"}, "n_symbols": 24, "orbit": ["X", "D", "T", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> T\nC -> Q\nR -> E\nF -> W\nL -> T\nH -> H\nP -> N\nQ -> M\nW -> O\nE -> M\nS -> C\nN -> G\nA -> A\nM -> A\nI -> X\nJ -> H\nB -> K\nU -> B\nO -> G\nK -> A\nG -> U\nX -> D\nV -> I\nT -> S\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "S"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D"}, "choices": {"A": "A", "B": "C", "C": "J", "D": "X"}, "depth": 3, "id": "test_d03_00084", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "E", "C": "X", "D": "G", "E": "J", "F": "B", "G": "K", "H": "J", "I": "U", "J": "F", "K": "A", "L": "F", "M": "J", "N": "W", "O": "K", "P": "M", "Q": "A", "R": "Q", "S": "I", "T": "A", "U": "U", "V": "L", "W": "Q", "X": "F"}, "n_symbols": 24, "orbit": ["T", "A", "C", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> F\nQ -> A\nU -> U\nA -> C\nD -> G\nT -> A\nP -> M\nF -> B\nL -> F\nC -> X\nN -> W\nI -> U\nS -> I\nX -> F\nB -> E\nG -> K\nV -> L\nE -> J\nM -> J\nR -> Q\nH -> J\nO -> K\nK -> A\nW -> Q\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C"}, "choices": {"A": "M", "B": "V", "C": "W", "D": "D"}, "depth": 3, "id": "test_d03_00085", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "J", "C": "B", "D": "W", "E": "V", "F": "U", "G": "S", "H": "W", "I": "K", "J": "V", "K": "M", "L": "R", "M": "D", "N": "N", "O": "G", "P": "W", "Q": "K", "R": "I", "S": "L", "T": "K", "U": "A", "V": "V", "W": "L", "X": "K"}, "n_symbols": 24, "orbit": ["K", "M", "D", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> V\nJ -> V\nH -> W\nX -> K\nC -> B\nG -> S\nM -> D\nU -> A\nO -> G\nR -> I\nE -> V\nF -> U\nA -> A\nL -> R\nK -> M\nI -> K\nW -> L\nP -> W\nB -> J\nD -> W\nQ -> K\nN -> N\nT -> K\nS -> L\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "W"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A"}, "choices": {"A": "V", "B": "H", "C": "P", "D": "C"}, "depth": 3, "id": "test_d03_00086", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "D", "C": "L", "D": "R", "E": "P", "F": "B", "G": "G", "H": "P", "I": "H", "J": "M", "K": "Q", "L": "V", "M": "S", "N": "H", "O": "I", "P": "V", "Q": "E", "R": "L", "S": "M", "T": "Q", "U": "E", "V": "O", "W": "M", "X": "O"}, "n_symbols": 24, "orbit": ["I", "H", "P", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> V\nC -> L\nT -> Q\nG -> G\nF -> B\nU -> E\nM -> S\nA -> W\nE -> P\nV -> O\nI -> H\nQ -> E\nH -> P\nD -> R\nX -> O\nW -> M\nS -> M\nN -> H\nO -> I\nL -> V\nK -> Q\nB -> D\nR -> L\nJ -> M\n\nStart value: I\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C"}, "choices": {"A": "S", "B": "G", "C": "V", "D": "C"}, "depth": 3, "id": "test_d03_00087", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "B", "C": "G", "D": "C", "E": "L", "F": "K", "G": "V", "H": "G", "I": "R", "J": "R", "K": "S", "L": "U", "M": "F", "N": "J", "O": "K", "P": "V", "Q": "U", "R": "E", "S": "A", "T": "Q", "U": "N", "V": "M", "W": "F", "X": "I"}, "n_symbols": 24, "orbit": ["D", "C", "G", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> A\nH -> G\nL -> U\nU -> N\nQ -> U\nB -> B\nC -> G\nE -> L\nK -> S\nR -> E\nJ -> R\nW -> F\nV -> M\nO -> K\nA -> H\nI -> R\nG -> V\nD -> C\nF -> K\nX -> I\nP -> V\nN -> J\nM -> F\nT -> Q\n\nStart value: D\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C"}, "choices": {"A": "Q", "B": "K", "C": "H", "D": "B"}, "depth": 3, "id": "test_d03_00088", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "L", "C": "D", "D": "V", "E": "G", "F": "R", "G": "Q", "H": "S", "I": "B", "J": "L", "K": "H", "L": "O", "M": "X", "N": "Q", "O": "I", "P": "B", "Q": "K", "R": "C", "S": "U", "T": "W", "U": "L", "V": "E", "W": "O", "X": "V"}, "n_symbols": 24, "orbit": ["N", "Q", "K", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> K\nB -> L\nU -> L\nR -> C\nS -> U\nO -> I\nP -> B\nW -> O\nH -> S\nA -> W\nL -> O\nT -> W\nF -> R\nE -> G\nC -> D\nM -> X\nD -> V\nG -> Q\nX -> V\nJ -> L\nI -> B\nK -> H\nN -> Q\nV -> E\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "H"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "X", "B": "R", "C": "E", "D": "H"}, "depth": 3, "id": "test_d03_00089", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "R", "C": "M", "D": "U", "E": "H", "F": "K", "G": "S", "H": "S", "I": "I", "J": "J", "K": "T", "L": "A", "M": "F", "N": "B", "O": "H", "P": "L", "Q": "A", "R": "E", "S": "M", "T": "G", "U": "L", "V": "S", "W": "P", "X": "Q"}, "n_symbols": 24, "orbit": ["B", "R", "E", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> Q\nD -> U\nR -> E\nA -> P\nF -> K\nP -> L\nV -> S\nI -> I\nH -> S\nQ -> A\nL -> A\nW -> P\nB -> R\nO -> H\nC -> M\nS -> M\nN -> B\nT -> G\nU -> L\nK -> T\nG -> S\nM -> F\nJ -> J\nE -> H\n\nStart value: B\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B"}, "choices": {"A": "P", "B": "V", "C": "U", "D": "F"}, "depth": 3, "id": "test_d03_00090", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "M", "C": "U", "D": "C", "E": "V", "F": "V", "G": "P", "H": "V", "I": "E", "J": "N", "K": "L", "L": "C", "M": "H", "N": "J", "O": "U", "P": "M", "Q": "V", "R": "L", "S": "G", "T": "L", "U": "F", "V": "G", "W": "R", "X": "T"}, "n_symbols": 24, "orbit": ["C", "U", "F", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> M\nN -> J\nT -> L\nB -> M\nE -> V\nR -> L\nH -> V\nO -> U\nS -> G\nK -> L\nQ -> V\nM -> H\nI -> E\nA -> J\nF -> V\nJ -> N\nW -> R\nV -> G\nL -> C\nU -> F\nD -> C\nX -> T\nG -> P\nC -> U\n\nStart value: C\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "V"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C"}, "choices": {"A": "J", "B": "P", "C": "I", "D": "X"}, "depth": 3, "id": "test_d03_00091", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "P", "C": "S", "D": "M", "E": "D", "F": "P", "G": "F", "H": "K", "I": "M", "J": "P", "K": "T", "L": "O", "M": "F", "N": "D", "O": "M", "P": "I", "Q": "Q", "R": "C", "S": "J", "T": "J", "U": "V", "V": "E", "W": "E", "X": "T"}, "n_symbols": 24, "orbit": ["T", "J", "P", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> I\nX -> T\nW -> E\nJ -> P\nH -> K\nD -> M\nO -> M\nR -> C\nG -> F\nA -> Q\nB -> P\nI -> M\nS -> J\nF -> P\nC -> S\nQ -> Q\nM -> F\nE -> D\nK -> T\nV -> E\nL -> O\nN -> D\nU -> V\nT -> J\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "I"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "M", "B": "O", "C": "Q", "D": "P"}, "depth": 3, "id": "test_d03_00092", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "J", "C": "W", "D": "S", "E": "Q", "F": "I", "G": "S", "H": "K", "I": "E", "J": "B", "K": "S", "L": "E", "M": "Q", "N": "A", "O": "M", "P": "O", "Q": "V", "R": "A", "S": "S", "T": "C", "U": "M", "V": "P", "W": "V", "X": "X"}, "n_symbols": 24, "orbit": ["V", "P", "O", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> V\nD -> S\nK -> S\nP -> O\nF -> I\nX -> X\nR -> A\nB -> J\nO -> M\nH -> K\nL -> E\nJ -> B\nT -> C\nS -> S\nA -> D\nW -> V\nV -> P\nC -> W\nN -> A\nM -> Q\nU -> M\nG -> S\nI -> E\nE -> Q\n\nStart value: V\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "B"}, "choices": {"A": "G", "B": "H", "C": "F", "D": "T"}, "depth": 3, "id": "test_d03_00093", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "Q", "C": "P", "D": "A", "E": "I", "F": "H", "G": "W", "H": "E", "I": "N", "J": "A", "K": "O", "L": "X", "M": "X", "N": "C", "O": "L", "P": "S", "Q": "P", "R": "Q", "S": "G", "T": "F", "U": "O", "V": "W", "W": "W", "X": "W"}, "n_symbols": 24, "orbit": ["A", "T", "F", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> W\nB -> Q\nJ -> A\nP -> S\nN -> C\nW -> W\nF -> H\nT -> F\nQ -> P\nK -> O\nM -> X\nR -> Q\nA -> T\nD -> A\nL -> X\nX -> W\nU -> O\nV -> W\nI -> N\nH -> E\nO -> L\nE -> I\nS -> G\nC -> P\n\nStart value: A\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B"}, "choices": {"A": "D", "B": "S", "C": "N", "D": "R"}, "depth": 3, "id": "test_d03_00094", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "Q", "C": "K", "D": "S", "E": "H", "F": "W", "G": "I", "H": "M", "I": "V", "J": "S", "K": "C", "L": "K", "M": "C", "N": "H", "O": "B", "P": "B", "Q": "H", "R": "D", "S": "N", "T": "M", "U": "G", "V": "L", "W": "R", "X": "M"}, "n_symbols": 24, "orbit": ["W", "R", "D", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> S\nN -> H\nL -> K\nQ -> H\nF -> W\nE -> H\nJ -> S\nM -> C\nK -> C\nO -> B\nI -> V\nW -> R\nG -> I\nX -> M\nP -> B\nA -> O\nT -> M\nS -> N\nV -> L\nR -> D\nH -> M\nC -> K\nB -> Q\nU -> G\n\nStart value: W\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "S"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "A"}, "choices": {"A": "X", "B": "W", "C": "P", "D": "Q"}, "depth": 3, "id": "test_d03_00095", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "U", "C": "W", "D": "G", "E": "V", "F": "C", "G": "I", "H": "L", "I": "W", "J": "V", "K": "M", "L": "J", "M": "S", "N": "Q", "O": "P", "P": "W", "Q": "H", "R": "P", "S": "M", "T": "P", "U": "E", "V": "W", "W": "X", "X": "P"}, "n_symbols": 24, "orbit": ["T", "P", "W", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> H\nW -> X\nK -> M\nC -> W\nM -> S\nH -> L\nS -> M\nV -> W\nD -> G\nU -> E\nI -> W\nB -> U\nE -> V\nX -> P\nL -> J\nN -> Q\nG -> I\nA -> S\nP -> W\nT -> P\nJ -> V\nF -> C\nR -> P\nO -> P\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "J", "B": "I", "C": "D", "D": "C"}, "depth": 3, "id": "test_d03_00096", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "W", "C": "O", "D": "I", "E": "D", "F": "X", "G": "D", "H": "B", "I": "J", "J": "D", "K": "I", "L": "H", "M": "X", "N": "Q", "O": "X", "P": "M", "Q": "S", "R": "F", "S": "U", "T": "G", "U": "F", "V": "T", "W": "C", "X": "B"}, "n_symbols": 24, "orbit": ["K", "I", "J", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> O\nS -> U\nJ -> D\nR -> F\nI -> J\nT -> G\nK -> I\nN -> Q\nX -> B\nP -> M\nD -> I\nA -> P\nM -> X\nQ -> S\nG -> D\nB -> W\nL -> H\nH -> B\nF -> X\nE -> D\nU -> F\nV -> T\nW -> C\nO -> X\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "D"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B"}, "choices": {"A": "B", "B": "L", "C": "H", "D": "F"}, "depth": 3, "id": "test_d03_00097", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "L", "C": "G", "D": "S", "E": "J", "F": "B", "G": "H", "H": "V", "I": "H", "J": "O", "K": "O", "L": "L", "M": "W", "N": "M", "O": "C", "P": "O", "Q": "K", "R": "D", "S": "S", "T": "A", "U": "A", "V": "F", "W": "J", "X": "D"}, "n_symbols": 24, "orbit": ["V", "F", "B", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> V\nE -> J\nA -> R\nT -> A\nS -> S\nX -> D\nK -> O\nJ -> O\nO -> C\nB -> L\nR -> D\nQ -> K\nU -> A\nW -> J\nL -> L\nG -> H\nI -> H\nD -> S\nN -> M\nP -> O\nM -> W\nV -> F\nC -> G\nF -> B\n\nStart value: V\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B"}, "choices": {"A": "P", "B": "L", "C": "U", "D": "G"}, "depth": 3, "id": "test_d03_00098", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "V", "C": "M", "D": "L", "E": "H", "F": "V", "G": "P", "H": "O", "I": "F", "J": "G", "K": "O", "L": "A", "M": "W", "N": "H", "O": "K", "P": "L", "Q": "H", "R": "O", "S": "J", "T": "G", "U": "Q", "V": "Q", "W": "M", "X": "L"}, "n_symbols": 24, "orbit": ["T", "G", "P", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> Q\nN -> H\nH -> O\nI -> F\nE -> H\nP -> L\nB -> V\nC -> M\nA -> Q\nT -> G\nR -> O\nD -> L\nG -> P\nX -> L\nJ -> G\nW -> M\nO -> K\nF -> V\nK -> O\nV -> Q\nM -> W\nS -> J\nL -> A\nQ -> H\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "M", "B": "U", "C": "H", "D": "N"}, "depth": 3, "id": "test_d03_00099", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "S", "C": "A", "D": "B", "E": "B", "F": "X", "G": "H", "H": "U", "I": "I", "J": "M", "K": "X", "L": "S", "M": "H", "N": "W", "O": "O", "P": "O", "Q": "S", "R": "D", "S": "V", "T": "X", "U": "H", "V": "X", "W": "P", "X": "M"}, "n_symbols": 24, "orbit": ["X", "M", "H", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> W\nQ -> S\nP -> O\nC -> A\nB -> S\nF -> X\nK -> X\nL -> S\nS -> V\nE -> B\nI -> I\nM -> H\nH -> U\nW -> P\nT -> X\nJ -> M\nU -> H\nR -> D\nG -> H\nD -> B\nO -> O\nA -> M\nV -> X\nX -> M\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "U"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B"}, "choices": {"A": "E", "B": "U", "C": "J", "D": "B"}, "depth": 3, "id": "test_d03_00100", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "S", "C": "U", "D": "M", "E": "U", "F": "L", "G": "S", "H": "X", "I": "J", "J": "E", "K": "F", "L": "E", "M": "D", "N": "B", "O": "D", "P": "I", "Q": "G", "R": "D", "S": "K", "T": "A", "U": "Q", "V": "S", "W": "A", "X": "R"}, "n_symbols": 24, "orbit": ["I", "J", "E", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> S\nD -> M\nM -> D\nG -> S\nJ -> E\nO -> D\nF -> L\nE -> U\nA -> G\nQ -> G\nV -> S\nS -> K\nX -> R\nT -> A\nW -> A\nK -> F\nH -> X\nI -> J\nU -> Q\nL -> E\nN -> B\nP -> I\nR -> D\nC -> U\n\nStart value: I\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D"}, "choices": {"A": "D", "B": "A", "C": "R", "D": "U"}, "depth": 3, "id": "test_d03_00101", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "W", "C": "D", "D": "U", "E": "B", "F": "U", "G": "N", "H": "S", "I": "S", "J": "M", "K": "J", "L": "R", "M": "O", "N": "Q", "O": "Q", "P": "R", "Q": "D", "R": "D", "S": "G", "T": "O", "U": "D", "V": "X", "W": "R", "X": "E"}, "n_symbols": 24, "orbit": ["L", "R", "D", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> J\nU -> D\nG -> N\nK -> J\nE -> B\nO -> Q\nM -> O\nV -> X\nN -> Q\nS -> G\nB -> W\nH -> S\nL -> R\nJ -> M\nP -> R\nF -> U\nT -> O\nD -> U\nW -> R\nI -> S\nC -> D\nR -> D\nQ -> D\nX -> E\n\nStart value: L\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "O", "B": "K", "C": "W", "D": "N"}, "depth": 3, "id": "test_d03_00102", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "J", "C": "A", "D": "F", "E": "T", "F": "T", "G": "R", "H": "R", "I": "W", "J": "I", "K": "N", "L": "P", "M": "P", "N": "U", "O": "R", "P": "U", "Q": "V", "R": "M", "S": "W", "T": "A", "U": "S", "V": "K", "W": "K", "X": "W"}, "n_symbols": 24, "orbit": ["X", "W", "K", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> R\nI -> W\nU -> S\nM -> P\nC -> A\nN -> U\nE -> T\nV -> K\nJ -> I\nF -> T\nD -> F\nR -> M\nH -> R\nW -> K\nB -> J\nK -> N\nX -> W\nS -> W\nA -> U\nL -> P\nG -> R\nT -> A\nQ -> V\nP -> U\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "N"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "R", "B": "X", "C": "O", "D": "E"}, "depth": 3, "id": "test_d03_00103", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "Q", "C": "O", "D": "E", "E": "R", "F": "B", "G": "N", "H": "D", "I": "H", "J": "M", "K": "G", "L": "W", "M": "N", "N": "K", "O": "B", "P": "E", "Q": "W", "R": "O", "S": "J", "T": "W", "U": "X", "V": "R", "W": "C", "X": "W"}, "n_symbols": 24, "orbit": ["P", "E", "R", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> W\nN -> K\nT -> W\nW -> C\nQ -> W\nU -> X\nB -> Q\nL -> W\nM -> N\nE -> R\nJ -> M\nV -> R\nI -> H\nF -> B\nD -> E\nC -> O\nP -> E\nH -> D\nO -> B\nR -> O\nS -> J\nK -> G\nA -> P\nG -> N\n\nStart value: P\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "O"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "X", "B": "W", "C": "G", "D": "O"}, "depth": 3, "id": "test_d03_00104", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "P", "C": "W", "D": "A", "E": "K", "F": "G", "G": "D", "H": "H", "I": "K", "J": "U", "K": "I", "L": "M", "M": "E", "N": "P", "O": "U", "P": "P", "Q": "V", "R": "D", "S": "E", "T": "P", "U": "C", "V": "K", "W": "X", "X": "G"}, "n_symbols": 24, "orbit": ["C", "W", "X", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> U\nV -> K\nC -> W\nL -> M\nE -> K\nP -> P\nF -> G\nN -> P\nJ -> U\nD -> A\nM -> E\nX -> G\nI -> K\nA -> D\nB -> P\nT -> P\nK -> I\nR -> D\nU -> C\nH -> H\nS -> E\nG -> D\nQ -> V\nW -> X\n\nStart value: C\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "G"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A"}, "choices": {"A": "O", "B": "G", "C": "D", "D": "E"}, "depth": 3, "id": "test_d03_00105", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "V", "C": "R", "D": "E", "E": "O", "F": "Q", "G": "E", "H": "I", "I": "U", "J": "F", "K": "P", "L": "I", "M": "I", "N": "V", "O": "P", "P": "D", "Q": "X", "R": "H", "S": "W", "T": "R", "U": "R", "V": "T", "W": "I", "X": "G"}, "n_symbols": 24, "orbit": ["P", "D", "E", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> E\nX -> G\nK -> P\nU -> R\nD -> E\nP -> D\nF -> Q\nE -> O\nT -> R\nS -> W\nC -> R\nW -> I\nR -> H\nI -> U\nO -> P\nB -> V\nH -> I\nV -> T\nQ -> X\nM -> I\nJ -> F\nL -> I\nA -> O\nN -> V\n\nStart value: P\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "O"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "C", "B": "G", "C": "F", "D": "L"}, "depth": 3, "id": "test_d03_00106", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "I", "C": "B", "D": "M", "E": "B", "F": "L", "G": "F", "H": "O", "I": "G", "J": "B", "K": "G", "L": "S", "M": "M", "N": "U", "O": "S", "P": "K", "Q": "W", "R": "T", "S": "U", "T": "T", "U": "X", "V": "T", "W": "V", "X": "R"}, "n_symbols": 24, "orbit": ["I", "G", "F", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> B\nH -> O\nM -> M\nI -> G\nA -> E\nN -> U\nE -> B\nD -> M\nU -> X\nX -> R\nG -> F\nB -> I\nK -> G\nT -> T\nL -> S\nO -> S\nW -> V\nF -> L\nR -> T\nP -> K\nV -> T\nJ -> B\nQ -> W\nS -> U\n\nStart value: I\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "L"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D"}, "choices": {"A": "I", "B": "N", "C": "J", "D": "C"}, "depth": 3, "id": "test_d03_00107", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "O", "C": "C", "D": "R", "E": "D", "F": "C", "G": "U", "H": "E", "I": "C", "J": "I", "K": "U", "L": "H", "M": "U", "N": "K", "O": "R", "P": "O", "Q": "N", "R": "J", "S": "O", "T": "L", "U": "C", "V": "J", "W": "U", "X": "O"}, "n_symbols": 24, "orbit": ["R", "J", "I", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> K\nD -> R\nS -> O\nG -> U\nC -> C\nJ -> I\nE -> D\nO -> R\nL -> H\nP -> O\nA -> B\nX -> O\nB -> O\nH -> E\nW -> U\nT -> L\nI -> C\nF -> C\nQ -> N\nV -> J\nR -> J\nM -> U\nU -> C\nK -> U\n\nStart value: R\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B"}, "choices": {"A": "C", "B": "X", "C": "G", "D": "T"}, "depth": 3, "id": "test_d03_00108", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "P", "C": "E", "D": "I", "E": "L", "F": "X", "G": "T", "H": "L", "I": "O", "J": "B", "K": "K", "L": "Q", "M": "G", "N": "N", "O": "B", "P": "H", "Q": "X", "R": "F", "S": "K", "T": "X", "U": "R", "V": "A", "W": "L", "X": "M"}, "n_symbols": 24, "orbit": ["M", "G", "T", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> E\nD -> I\nS -> K\nT -> X\nW -> L\nP -> H\nO -> B\nG -> T\nX -> M\nJ -> B\nM -> G\nV -> A\nK -> K\nH -> L\nR -> F\nN -> N\nQ -> X\nF -> X\nI -> O\nU -> R\nA -> T\nB -> P\nL -> Q\nE -> L\n\nStart value: M\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "X"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "U", "B": "V", "C": "D", "D": "C"}, "depth": 3, "id": "test_d03_00109", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "X", "C": "V", "D": "E", "E": "X", "F": "I", "G": "K", "H": "D", "I": "I", "J": "K", "K": "F", "L": "M", "M": "Q", "N": "B", "O": "C", "P": "X", "Q": "R", "R": "K", "S": "C", "T": "T", "U": "R", "V": "U", "W": "X", "X": "J"}, "n_symbols": 24, "orbit": ["S", "C", "V", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> E\nC -> V\nU -> R\nG -> K\nT -> T\nH -> D\nK -> F\nL -> M\nP -> X\nQ -> R\nN -> B\nJ -> K\nX -> J\nS -> C\nB -> X\nE -> X\nF -> I\nI -> I\nM -> Q\nR -> K\nW -> X\nO -> C\nA -> H\nV -> U\n\nStart value: S\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "E", "B": "Q", "C": "I", "D": "F"}, "depth": 3, "id": "test_d03_00110", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "L", "C": "P", "D": "D", "E": "V", "F": "U", "G": "J", "H": "N", "I": "F", "J": "H", "K": "N", "L": "Q", "M": "K", "N": "N", "O": "I", "P": "C", "Q": "I", "R": "M", "S": "D", "T": "G", "U": "E", "V": "R", "W": "E", "X": "U"}, "n_symbols": 24, "orbit": ["L", "Q", "I", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> F\nE -> V\nS -> D\nB -> L\nU -> E\nP -> C\nX -> U\nH -> N\nT -> G\nL -> Q\nQ -> I\nD -> D\nG -> J\nF -> U\nM -> K\nC -> P\nK -> N\nV -> R\nW -> E\nN -> N\nO -> I\nJ -> H\nR -> M\nA -> L\n\nStart value: L\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "F"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A"}, "choices": {"A": "W", "B": "T", "C": "D", "D": "S"}, "depth": 3, "id": "test_d03_00111", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "B", "C": "X", "D": "W", "E": "V", "F": "W", "G": "O", "H": "O", "I": "K", "J": "I", "K": "I", "L": "L", "M": "S", "N": "T", "O": "O", "P": "C", "Q": "I", "R": "G", "S": "D", "T": "D", "U": "B", "V": "L", "W": "D", "X": "W"}, "n_symbols": 24, "orbit": ["N", "T", "D", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> D\nE -> V\nG -> O\nB -> B\nW -> D\nP -> C\nR -> G\nD -> W\nQ -> I\nJ -> I\nC -> X\nX -> W\nV -> L\nT -> D\nU -> B\nN -> T\nL -> L\nK -> I\nM -> S\nF -> W\nH -> O\nA -> O\nI -> K\nO -> O\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D"}, "choices": {"A": "Q", "B": "H", "C": "A", "D": "W"}, "depth": 3, "id": "test_d03_00112", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "V", "C": "I", "D": "B", "E": "M", "F": "G", "G": "O", "H": "Q", "I": "A", "J": "F", "K": "M", "L": "K", "M": "T", "N": "J", "O": "N", "P": "V", "Q": "W", "R": "N", "S": "P", "T": "B", "U": "E", "V": "O", "W": "J", "X": "A"}, "n_symbols": 24, "orbit": ["A", "H", "Q", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> H\nI -> A\nQ -> W\nK -> M\nC -> I\nX -> A\nV -> O\nF -> G\nU -> E\nL -> K\nH -> Q\nJ -> F\nT -> B\nM -> T\nG -> O\nW -> J\nP -> V\nS -> P\nD -> B\nB -> V\nR -> N\nN -> J\nE -> M\nO -> N\n\nStart value: A\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "W"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C"}, "choices": {"A": "S", "B": "H", "C": "G", "D": "Q"}, "depth": 3, "id": "test_d03_00113", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "M", "C": "A", "D": "K", "E": "D", "F": "F", "G": "Q", "H": "B", "I": "P", "J": "X", "K": "E", "L": "B", "M": "B", "N": "N", "O": "I", "P": "S", "Q": "G", "R": "H", "S": "Q", "T": "X", "U": "C", "V": "O", "W": "I", "X": "S"}, "n_symbols": 24, "orbit": ["X", "S", "Q", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> B\nX -> S\nP -> S\nS -> Q\nR -> H\nN -> N\nC -> A\nI -> P\nO -> I\nF -> F\nM -> B\nQ -> G\nL -> B\nA -> R\nK -> E\nV -> O\nW -> I\nD -> K\nJ -> X\nB -> M\nE -> D\nG -> Q\nU -> C\nT -> X\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "G"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B"}, "choices": {"A": "E", "B": "U", "C": "M", "D": "H"}, "depth": 3, "id": "test_d03_00114", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "D", "C": "Q", "D": "X", "E": "U", "F": "P", "G": "B", "H": "O", "I": "J", "J": "L", "K": "L", "L": "P", "M": "E", "N": "C", "O": "C", "P": "G", "Q": "S", "R": "W", "S": "W", "T": "B", "U": "J", "V": "V", "W": "M", "X": "S"}, "n_symbols": 24, "orbit": ["W", "M", "E", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> O\nV -> V\nO -> C\nM -> E\nE -> U\nX -> S\nP -> G\nB -> D\nC -> Q\nA -> U\nQ -> S\nT -> B\nK -> L\nR -> W\nW -> M\nD -> X\nU -> J\nJ -> L\nF -> P\nI -> J\nS -> W\nL -> P\nN -> C\nG -> B\n\nStart value: W\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C"}, "choices": {"A": "B", "B": "U", "C": "I", "D": "O"}, "depth": 3, "id": "test_d03_00115", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "I", "C": "K", "D": "S", "E": "K", "F": "N", "G": "W", "H": "G", "I": "X", "J": "H", "K": "A", "L": "C", "M": "F", "N": "L", "O": "B", "P": "G", "Q": "R", "R": "F", "S": "T", "T": "O", "U": "Q", "V": "F", "W": "D", "X": "U"}, "n_symbols": 24, "orbit": ["T", "O", "B", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> Q\nR -> F\nV -> F\nK -> A\nW -> D\nQ -> R\nA -> R\nI -> X\nB -> I\nO -> B\nF -> N\nL -> C\nD -> S\nX -> U\nN -> L\nM -> F\nH -> G\nS -> T\nJ -> H\nG -> W\nT -> O\nE -> K\nP -> G\nC -> K\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "I"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B"}, "choices": {"A": "W", "B": "U", "C": "M", "D": "S"}, "depth": 3, "id": "test_d03_00116", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "M", "C": "U", "D": "H", "E": "P", "F": "F", "G": "X", "H": "R", "I": "D", "J": "K", "K": "U", "L": "R", "M": "U", "N": "D", "O": "S", "P": "D", "Q": "A", "R": "Q", "S": "G", "T": "G", "U": "X", "V": "W", "W": "M", "X": "G"}, "n_symbols": 24, "orbit": ["V", "W", "M", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> G\nA -> C\nQ -> A\nD -> H\nO -> S\nI -> D\nB -> M\nN -> D\nJ -> K\nV -> W\nC -> U\nT -> G\nF -> F\nW -> M\nG -> X\nX -> G\nR -> Q\nK -> U\nM -> U\nU -> X\nP -> D\nE -> P\nL -> R\nH -> R\n\nStart value: V\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "U"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "A", "B": "V", "C": "U", "D": "D"}, "depth": 3, "id": "test_d03_00117", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "D", "C": "N", "D": "V", "E": "N", "F": "C", "G": "T", "H": "P", "I": "K", "J": "R", "K": "F", "L": "Q", "M": "W", "N": "W", "O": "D", "P": "H", "Q": "Q", "R": "F", "S": "P", "T": "J", "U": "F", "V": "A", "W": "I", "X": "F"}, "n_symbols": 24, "orbit": ["B", "D", "V", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> F\nQ -> Q\nG -> T\nE -> N\nA -> E\nC -> N\nO -> D\nX -> F\nS -> P\nN -> W\nK -> F\nR -> F\nT -> J\nV -> A\nL -> Q\nM -> W\nD -> V\nH -> P\nB -> D\nI -> K\nW -> I\nP -> H\nF -> C\nJ -> R\n\nStart value: B\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "A"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D"}, "choices": {"A": "X", "B": "J", "C": "E", "D": "H"}, "depth": 3, "id": "test_d03_00118", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "J", "C": "C", "D": "M", "E": "H", "F": "R", "G": "D", "H": "M", "I": "H", "J": "E", "K": "G", "L": "S", "M": "W", "N": "S", "O": "I", "P": "L", "Q": "T", "R": "K", "S": "J", "T": "W", "U": "B", "V": "L", "W": "U", "X": "G"}, "n_symbols": 24, "orbit": ["B", "J", "E", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> H\nX -> G\nS -> J\nW -> U\nU -> B\nL -> S\nI -> H\nO -> I\nV -> L\nP -> L\nA -> H\nQ -> T\nB -> J\nR -> K\nD -> M\nM -> W\nN -> S\nG -> D\nK -> G\nC -> C\nJ -> E\nT -> W\nH -> M\nF -> R\n\nStart value: B\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "H"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C"}, "choices": {"A": "E", "B": "H", "C": "L", "D": "N"}, "depth": 3, "id": "test_d03_00119", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "H", "C": "L", "D": "U", "E": "H", "F": "T", "G": "V", "H": "L", "I": "E", "J": "X", "K": "E", "L": "S", "M": "J", "N": "X", "O": "M", "P": "M", "Q": "H", "R": "O", "S": "I", "T": "Q", "U": "L", "V": "E", "W": "R", "X": "U"}, "n_symbols": 24, "orbit": ["A", "E", "H", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> X\nA -> E\nI -> E\nR -> O\nB -> H\nQ -> H\nG -> V\nV -> E\nF -> T\nS -> I\nC -> L\nT -> Q\nH -> L\nU -> L\nJ -> X\nX -> U\nO -> M\nD -> U\nK -> E\nE -> H\nM -> J\nL -> S\nP -> M\nW -> R\n\nStart value: A\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "A", "B": "O", "C": "D", "D": "P"}, "depth": 3, "id": "test_d03_00120", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "J", "C": "C", "D": "A", "E": "P", "F": "G", "G": "A", "H": "X", "I": "Q", "J": "H", "K": "X", "L": "N", "M": "P", "N": "H", "O": "J", "P": "D", "Q": "L", "R": "R", "S": "J", "T": "T", "U": "S", "V": "E", "W": "M", "X": "V"}, "n_symbols": 24, "orbit": ["E", "P", "D", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> J\nS -> J\nA -> D\nG -> A\nX -> V\nL -> N\nQ -> L\nH -> X\nJ -> H\nK -> X\nB -> J\nD -> A\nW -> M\nV -> E\nN -> H\nI -> Q\nM -> P\nC -> C\nR -> R\nU -> S\nP -> D\nF -> G\nT -> T\nE -> P\n\nStart value: E\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C"}, "choices": {"A": "M", "B": "B", "C": "V", "D": "I"}, "depth": 3, "id": "test_d03_00121", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "M", "C": "N", "D": "H", "E": "D", "F": "L", "G": "U", "H": "T", "I": "N", "J": "O", "K": "V", "L": "U", "M": "V", "N": "S", "O": "I", "P": "L", "Q": "J", "R": "B", "S": "O", "T": "A", "U": "J", "V": "A", "W": "G", "X": "B"}, "n_symbols": 24, "orbit": ["R", "B", "M", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> N\nR -> B\nQ -> J\nW -> G\nD -> H\nC -> N\nB -> M\nF -> L\nT -> A\nU -> J\nE -> D\nP -> L\nL -> U\nS -> O\nX -> B\nK -> V\nH -> T\nO -> I\nN -> S\nV -> A\nM -> V\nJ -> O\nG -> U\nA -> E\n\nStart value: R\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "V"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "K", "B": "R", "C": "O", "D": "L"}, "depth": 3, "id": "test_d03_00122", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "K", "C": "G", "D": "W", "E": "H", "F": "W", "G": "X", "H": "E", "I": "U", "J": "V", "K": "L", "L": "O", "M": "Q", "N": "L", "O": "K", "P": "A", "Q": "I", "R": "W", "S": "N", "T": "V", "U": "M", "V": "N", "W": "B", "X": "X"}, "n_symbols": 24, "orbit": ["N", "L", "O", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> W\nE -> H\nO -> K\nH -> E\nU -> M\nF -> W\nJ -> V\nS -> N\nQ -> I\nD -> W\nB -> K\nV -> N\nN -> L\nM -> Q\nT -> V\nK -> L\nL -> O\nW -> B\nG -> X\nA -> H\nX -> X\nI -> U\nP -> A\nC -> G\n\nStart value: N\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "K"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "O", "B": "S", "C": "R", "D": "G"}, "depth": 3, "id": "test_d03_00123", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "J", "C": "F", "D": "O", "E": "A", "F": "F", "G": "S", "H": "K", "I": "N", "J": "M", "K": "P", "L": "B", "M": "O", "N": "V", "O": "B", "P": "A", "Q": "S", "R": "L", "S": "O", "T": "S", "U": "D", "V": "T", "W": "Q", "X": "G"}, "n_symbols": 24, "orbit": ["X", "G", "S", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> L\nW -> Q\nI -> N\nV -> T\nT -> S\nS -> O\nP -> A\nM -> O\nH -> K\nC -> F\nA -> J\nG -> S\nX -> G\nK -> P\nU -> D\nJ -> M\nQ -> S\nF -> F\nL -> B\nD -> O\nN -> V\nO -> B\nE -> A\nB -> J\n\nStart value: X\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "O"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "L", "B": "I", "C": "P", "D": "V"}, "depth": 3, "id": "test_d03_00124", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "J", "C": "B", "D": "L", "E": "N", "F": "C", "G": "P", "H": "R", "I": "J", "J": "S", "K": "M", "L": "Q", "M": "G", "N": "K", "O": "B", "P": "L", "Q": "V", "R": "G", "S": "G", "T": "W", "U": "G", "V": "P", "W": "L", "X": "P"}, "n_symbols": 24, "orbit": ["Q", "V", "P", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> J\nD -> L\nW -> L\nN -> K\nE -> N\nH -> R\nL -> Q\nM -> G\nA -> H\nJ -> S\nP -> L\nC -> B\nU -> G\nT -> W\nK -> M\nV -> P\nO -> B\nQ -> V\nB -> J\nX -> P\nS -> G\nR -> G\nG -> P\nF -> C\n\nStart value: Q\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A"}, "choices": {"A": "T", "B": "J", "C": "R", "D": "D"}, "depth": 3, "id": "test_d03_00125", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "D", "C": "I", "D": "R", "E": "H", "F": "H", "G": "O", "H": "D", "I": "E", "J": "B", "K": "E", "L": "V", "M": "N", "N": "H", "O": "G", "P": "G", "Q": "I", "R": "T", "S": "V", "T": "N", "U": "J", "V": "S", "W": "K", "X": "L"}, "n_symbols": 24, "orbit": ["H", "D", "R", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> B\nA -> O\nQ -> I\nH -> D\nB -> D\nK -> E\nG -> O\nE -> H\nN -> H\nV -> S\nO -> G\nW -> K\nD -> R\nL -> V\nP -> G\nF -> H\nU -> J\nM -> N\nT -> N\nS -> V\nX -> L\nR -> T\nI -> E\nC -> I\n\nStart value: H\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A"}, "choices": {"A": "F", "B": "X", "C": "B", "D": "J"}, "depth": 3, "id": "test_d03_00126", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "J", "C": "S", "D": "Q", "E": "P", "F": "P", "G": "I", "H": "A", "I": "G", "J": "X", "K": "A", "L": "Q", "M": "G", "N": "P", "O": "C", "P": "T", "Q": "K", "R": "N", "S": "X", "T": "J", "U": "O", "V": "E", "W": "R", "X": "F"}, "n_symbols": 24, "orbit": ["T", "J", "X", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> J\nE -> P\nR -> N\nM -> G\nX -> F\nF -> P\nL -> Q\nK -> A\nW -> R\nC -> S\nJ -> X\nO -> C\nD -> Q\nU -> O\nH -> A\nN -> P\nA -> M\nQ -> K\nV -> E\nS -> X\nI -> G\nP -> T\nT -> J\nG -> I\n\nStart value: T\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "F"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D"}, "choices": {"A": "K", "B": "L", "C": "W", "D": "N"}, "depth": 3, "id": "test_d03_00127", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "D", "C": "G", "D": "P", "E": "W", "F": "I", "G": "K", "H": "L", "I": "R", "J": "I", "K": "W", "L": "N", "M": "G", "N": "N", "O": "L", "P": "C", "Q": "W", "R": "J", "S": "C", "T": "C", "U": "T", "V": "G", "W": "L", "X": "K"}, "n_symbols": 24, "orbit": ["K", "W", "L", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> W\nH -> L\nP -> C\nW -> L\nB -> D\nE -> W\nD -> P\nT -> C\nR -> J\nM -> G\nU -> T\nS -> C\nO -> L\nL -> N\nA -> S\nX -> K\nF -> I\nQ -> W\nI -> R\nV -> G\nN -> N\nJ -> I\nG -> K\nC -> G\n\nStart value: K\nApply f exactly 3 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "Q", "B": "U", "C": "H", "D": "J"}, "depth": 4, "id": "test_d04_00000", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "N", "C": "M", "D": "S", "E": "O", "F": "R", "G": "N", "H": "Q", "I": "O", "J": "U", "K": "C", "L": "B", "M": "X", "N": "B", "O": "U", "P": "I", "Q": "J", "R": "O", "S": "R", "T": "P", "U": "H", "V": "S", "W": "R", "X": "A"}, "n_symbols": 24, "orbit": ["A", "U", "H", "Q", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> R\nN -> B\nL -> B\nS -> R\nX -> A\nK -> C\nG -> N\nT -> P\nU -> H\nP -> I\nV -> S\nW -> R\nQ -> J\nH -> Q\nC -> M\nI -> O\nJ -> U\nE -> O\nA -> U\nB -> N\nO -> U\nR -> O\nM -> X\nD -> S\n\nStart value: A\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "J"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D", "4": "A"}, "choices": {"A": "R", "B": "D", "C": "L", "D": "A"}, "depth": 4, "id": "test_d04_00001", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "H", "C": "A", "D": "A", "E": "L", "F": "R", "G": "P", "H": "B", "I": "I", "J": "F", "K": "A", "L": "D", "M": "F", "N": "Q", "O": "T", "P": "P", "Q": "K", "R": "P", "S": "O", "T": "O", "U": "M", "V": "W", "W": "U", "X": "H"}, "n_symbols": 24, "orbit": ["E", "L", "D", "A", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> T\nA -> R\nL -> D\nU -> M\nN -> Q\nP -> P\nE -> L\nI -> I\nD -> A\nT -> O\nJ -> F\nV -> W\nW -> U\nC -> A\nM -> F\nF -> R\nX -> H\nQ -> K\nH -> B\nK -> A\nB -> H\nR -> P\nS -> O\nG -> P\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "R"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "S", "B": "Q", "C": "M", "D": "T"}, "depth": 4, "id": "test_d04_00002", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "Q", "C": "S", "D": "P", "E": "B", "F": "M", "G": "J", "H": "Q", "I": "J", "J": "W", "K": "F", "L": "D", "M": "T", "N": "S", "O": "T", "P": "M", "Q": "S", "R": "T", "S": "M", "T": "Q", "U": "F", "V": "V", "W": "S", "X": "V"}, "n_symbols": 24, "orbit": ["H", "Q", "S", "M", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> V\nC -> S\nM -> T\nT -> Q\nH -> Q\nG -> J\nU -> F\nL -> D\nP -> M\nB -> Q\nA -> D\nX -> V\nQ -> S\nD -> P\nO -> T\nN -> S\nK -> F\nS -> M\nR -> T\nF -> M\nE -> B\nI -> J\nW -> S\nJ -> W\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "U", "B": "P", "C": "H", "D": "S"}, "depth": 4, "id": "test_d04_00003", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "Q", "C": "L", "D": "B", "E": "S", "F": "O", "G": "A", "H": "E", "I": "G", "J": "B", "K": "J", "L": "T", "M": "I", "N": "L", "O": "W", "P": "S", "Q": "L", "R": "F", "S": "H", "T": "L", "U": "P", "V": "T", "W": "L", "X": "R"}, "n_symbols": 24, "orbit": ["A", "U", "P", "S", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> H\nK -> J\nW -> L\nX -> R\nC -> L\nB -> Q\nA -> U\nP -> S\nJ -> B\nO -> W\nN -> L\nE -> S\nG -> A\nI -> G\nR -> F\nU -> P\nT -> L\nD -> B\nH -> E\nQ -> L\nM -> I\nF -> O\nV -> T\nL -> T\n\nStart value: A\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "H"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B", "4": "D"}, "choices": {"A": "U", "B": "P", "C": "G", "D": "D"}, "depth": 4, "id": "test_d04_00004", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "M", "C": "O", "D": "Q", "E": "K", "F": "A", "G": "P", "H": "N", "I": "L", "J": "U", "K": "V", "L": "D", "M": "U", "N": "M", "O": "E", "P": "D", "Q": "J", "R": "F", "S": "U", "T": "J", "U": "G", "V": "E", "W": "E", "X": "M"}, "n_symbols": 24, "orbit": ["S", "U", "G", "P", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> N\nR -> F\nP -> D\nI -> L\nM -> U\nS -> U\nU -> G\nD -> Q\nL -> D\nK -> V\nX -> M\nO -> E\nG -> P\nT -> J\nN -> M\nB -> M\nC -> O\nF -> A\nQ -> J\nE -> K\nA -> V\nW -> E\nJ -> U\nV -> E\n\nStart value: S\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "D"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C", "4": "B"}, "choices": {"A": "E", "B": "M", "C": "O", "D": "C"}, "depth": 4, "id": "test_d04_00005", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "E", "C": "O", "D": "K", "E": "C", "F": "W", "G": "C", "H": "E", "I": "F", "J": "S", "K": "C", "L": "L", "M": "D", "N": "F", "O": "M", "P": "G", "Q": "X", "R": "C", "S": "B", "T": "I", "U": "V", "V": "D", "W": "X", "X": "T"}, "n_symbols": 24, "orbit": ["B", "E", "C", "O", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> C\nF -> W\nV -> D\nP -> G\nG -> C\nR -> C\nE -> C\nW -> X\nD -> K\nI -> F\nT -> I\nL -> L\nX -> T\nM -> D\nS -> B\nA -> E\nU -> V\nQ -> X\nN -> F\nJ -> S\nB -> E\nC -> O\nO -> M\nH -> E\n\nStart value: B\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B", "4": "C"}, "choices": {"A": "Q", "B": "L", "C": "J", "D": "U"}, "depth": 4, "id": "test_d04_00006", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "C", "C": "W", "D": "M", "E": "M", "F": "F", "G": "W", "H": "W", "I": "H", "J": "L", "K": "U", "L": "J", "M": "L", "N": "N", "O": "B", "P": "C", "Q": "L", "R": "H", "S": "R", "T": "F", "U": "Q", "V": "B", "W": "V", "X": "M"}, "n_symbols": 24, "orbit": ["K", "U", "Q", "L", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> M\nI -> H\nH -> W\nC -> W\nM -> L\nA -> K\nR -> H\nN -> N\nD -> M\nF -> F\nL -> J\nW -> V\nB -> C\nO -> B\nK -> U\nU -> Q\nQ -> L\nP -> C\nT -> F\nX -> M\nG -> W\nV -> B\nS -> R\nJ -> L\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "J"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "U", "B": "X", "C": "K", "D": "P"}, "depth": 4, "id": "test_d04_00007", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "A", "C": "O", "D": "I", "E": "U", "F": "O", "G": "A", "H": "H", "I": "A", "J": "C", "K": "P", "L": "O", "M": "B", "N": "F", "O": "D", "P": "T", "Q": "X", "R": "T", "S": "H", "T": "I", "U": "K", "V": "U", "W": "A", "X": "U"}, "n_symbols": 24, "orbit": ["Q", "X", "U", "K", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> X\nW -> A\nX -> U\nV -> U\nH -> H\nM -> B\nE -> U\nP -> T\nR -> T\nL -> O\nF -> O\nU -> K\nS -> H\nT -> I\nB -> A\nG -> A\nJ -> C\nI -> A\nO -> D\nN -> F\nK -> P\nC -> O\nA -> R\nD -> I\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "P"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "T", "B": "W", "C": "D", "D": "H"}, "depth": 4, "id": "test_d04_00008", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "M", "C": "Q", "D": "H", "E": "K", "F": "A", "G": "M", "H": "T", "I": "F", "J": "D", "K": "E", "L": "W", "M": "P", "N": "W", "O": "U", "P": "H", "Q": "B", "R": "V", "S": "P", "T": "D", "U": "D", "V": "I", "W": "T", "X": "L"}, "n_symbols": 24, "orbit": ["N", "W", "T", "D", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> M\nJ -> D\nI -> F\nN -> W\nD -> H\nP -> H\nW -> T\nX -> L\nL -> W\nU -> D\nR -> V\nM -> P\nO -> U\nK -> E\nF -> A\nH -> T\nQ -> B\nS -> P\nG -> M\nV -> I\nC -> Q\nA -> H\nT -> D\nE -> K\n\nStart value: N\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "H"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "A", "4": "D"}, "choices": {"A": "G", "B": "P", "C": "D", "D": "M"}, "depth": 4, "id": "test_d04_00009", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "D", "C": "A", "D": "P", "E": "R", "F": "P", "G": "M", "H": "T", "I": "A", "J": "P", "K": "X", "L": "C", "M": "N", "N": "W", "O": "I", "P": "G", "Q": "D", "R": "O", "S": "D", "T": "M", "U": "D", "V": "G", "W": "I", "X": "L"}, "n_symbols": 24, "orbit": ["B", "D", "P", "G", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> A\nR -> O\nP -> G\nG -> M\nI -> A\nF -> P\nX -> L\nQ -> D\nS -> D\nT -> M\nH -> T\nK -> X\nA -> L\nO -> I\nB -> D\nJ -> P\nN -> W\nL -> C\nD -> P\nE -> R\nV -> G\nM -> N\nU -> D\nW -> I\n\nStart value: B\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "M"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "I", "B": "X", "C": "M", "D": "D"}, "depth": 4, "id": "test_d04_00010", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "W", "C": "N", "D": "M", "E": "N", "F": "W", "G": "K", "H": "Q", "I": "X", "J": "J", "K": "I", "L": "G", "M": "C", "N": "R", "O": "K", "P": "T", "Q": "H", "R": "S", "S": "W", "T": "C", "U": "U", "V": "J", "W": "Q", "X": "D"}, "n_symbols": 24, "orbit": ["K", "I", "X", "D", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> X\nV -> J\nG -> K\nN -> R\nH -> Q\nU -> U\nJ -> J\nP -> T\nE -> N\nS -> W\nX -> D\nD -> M\nF -> W\nA -> U\nC -> N\nK -> I\nT -> C\nR -> S\nQ -> H\nL -> G\nM -> C\nW -> Q\nB -> W\nO -> K\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "M"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B", "4": "D"}, "choices": {"A": "X", "B": "U", "C": "B", "D": "H"}, "depth": 4, "id": "test_d04_00011", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "X", "C": "D", "D": "D", "E": "B", "F": "W", "G": "Q", "H": "O", "I": "C", "J": "K", "K": "J", "L": "N", "M": "X", "N": "R", "O": "E", "P": "K", "Q": "J", "R": "T", "S": "V", "T": "B", "U": "H", "V": "N", "W": "J", "X": "U"}, "n_symbols": 24, "orbit": ["E", "B", "X", "U", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> C\nO -> E\nK -> J\nB -> X\nX -> U\nC -> D\nG -> Q\nW -> J\nU -> H\nP -> K\nH -> O\nS -> V\nE -> B\nR -> T\nQ -> J\nA -> H\nL -> N\nF -> W\nD -> D\nV -> N\nJ -> K\nM -> X\nT -> B\nN -> R\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "H"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A", "4": "B"}, "choices": {"A": "G", "B": "Q", "C": "L", "D": "J"}, "depth": 4, "id": "test_d04_00012", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "I", "C": "O", "D": "X", "E": "E", "F": "A", "G": "Q", "H": "I", "I": "E", "J": "G", "K": "K", "L": "J", "M": "E", "N": "X", "O": "C", "P": "P", "Q": "D", "R": "C", "S": "L", "T": "Q", "U": "P", "V": "N", "W": "E", "X": "M"}, "n_symbols": 24, "orbit": ["S", "L", "J", "G", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> E\nT -> Q\nK -> K\nF -> A\nD -> X\nC -> O\nS -> L\nA -> B\nL -> J\nR -> C\nO -> C\nW -> E\nP -> P\nM -> E\nQ -> D\nU -> P\nN -> X\nX -> M\nH -> I\nV -> N\nB -> I\nG -> Q\nI -> E\nJ -> G\n\nStart value: S\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B", "4": "A"}, "choices": {"A": "I", "B": "U", "C": "X", "D": "O"}, "depth": 4, "id": "test_d04_00013", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "N", "C": "G", "D": "L", "E": "I", "F": "K", "G": "T", "H": "O", "I": "T", "J": "K", "K": "F", "L": "X", "M": "U", "N": "T", "O": "U", "P": "A", "Q": "U", "R": "L", "S": "G", "T": "Q", "U": "I", "V": "F", "W": "G", "X": "O"}, "n_symbols": 24, "orbit": ["L", "X", "O", "U", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> G\nN -> T\nX -> O\nQ -> U\nT -> Q\nM -> U\nL -> X\nR -> L\nF -> K\nH -> O\nC -> G\nP -> A\nV -> F\nU -> I\nI -> T\nJ -> K\nD -> L\nE -> I\nO -> U\nB -> N\nW -> G\nG -> T\nK -> F\nA -> W\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "I"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B", "4": "A"}, "choices": {"A": "L", "B": "T", "C": "R", "D": "P"}, "depth": 4, "id": "test_d04_00014", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "N", "C": "Q", "D": "O", "E": "T", "F": "P", "G": "D", "H": "W", "I": "X", "J": "I", "K": "D", "L": "P", "M": "R", "N": "A", "O": "F", "P": "T", "Q": "X", "R": "P", "S": "H", "T": "L", "U": "G", "V": "H", "W": "E", "X": "O"}, "n_symbols": 24, "orbit": ["M", "R", "P", "T", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> L\nC -> Q\nP -> T\nG -> D\nW -> E\nA -> O\nV -> H\nS -> H\nB -> N\nR -> P\nM -> R\nO -> F\nU -> G\nI -> X\nJ -> I\nQ -> X\nL -> P\nH -> W\nE -> T\nX -> O\nD -> O\nN -> A\nK -> D\nF -> P\n\nStart value: M\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "L", "B": "B", "C": "F", "D": "X"}, "depth": 4, "id": "test_d04_00015", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "F", "C": "B", "D": "S", "E": "H", "F": "X", "G": "K", "H": "P", "I": "B", "J": "T", "K": "F", "L": "L", "M": "U", "N": "B", "O": "K", "P": "B", "Q": "M", "R": "D", "S": "B", "T": "C", "U": "S", "V": "W", "W": "E", "X": "L"}, "n_symbols": 24, "orbit": ["P", "B", "F", "X", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> L\nH -> P\nX -> L\nN -> B\nP -> B\nC -> B\nV -> W\nM -> U\nG -> K\nS -> B\nL -> L\nD -> S\nK -> F\nU -> S\nI -> B\nO -> K\nE -> H\nJ -> T\nB -> F\nQ -> M\nT -> C\nF -> X\nW -> E\nR -> D\n\nStart value: P\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "J", "B": "K", "C": "D", "D": "B"}, "depth": 4, "id": "test_d04_00016", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "J", "C": "D", "D": "B", "E": "B", "F": "I", "G": "A", "H": "T", "I": "R", "J": "F", "K": "D", "L": "K", "M": "J", "N": "H", "O": "A", "P": "N", "Q": "J", "R": "P", "S": "F", "T": "X", "U": "K", "V": "D", "W": "I", "X": "T"}, "n_symbols": 24, "orbit": ["L", "K", "D", "B", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> R\nR -> P\nG -> A\nB -> J\nO -> A\nW -> I\nX -> T\nM -> J\nL -> K\nN -> H\nQ -> J\nA -> L\nT -> X\nD -> B\nC -> D\nS -> F\nV -> D\nP -> N\nF -> I\nE -> B\nH -> T\nU -> K\nJ -> F\nK -> D\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A", "4": "B"}, "choices": {"A": "G", "B": "U", "C": "E", "D": "I"}, "depth": 4, "id": "test_d04_00017", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "K", "C": "B", "D": "O", "E": "G", "F": "E", "G": "U", "H": "Q", "I": "E", "J": "I", "K": "G", "L": "V", "M": "C", "N": "R", "O": "L", "P": "J", "Q": "F", "R": "K", "S": "D", "T": "C", "U": "O", "V": "D", "W": "M", "X": "G"}, "n_symbols": 24, "orbit": ["J", "I", "E", "G", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> L\nM -> C\nB -> K\nP -> J\nW -> M\nC -> B\nI -> E\nV -> D\nX -> G\nL -> V\nS -> D\nF -> E\nH -> Q\nN -> R\nT -> C\nA -> J\nE -> G\nJ -> I\nK -> G\nQ -> F\nU -> O\nD -> O\nR -> K\nG -> U\n\nStart value: J\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "U"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D", "4": "B"}, "choices": {"A": "L", "B": "N", "C": "P", "D": "J"}, "depth": 4, "id": "test_d04_00018", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "F", "C": "Q", "D": "P", "E": "G", "F": "O", "G": "D", "H": "N", "I": "D", "J": "N", "K": "N", "L": "J", "M": "U", "N": "R", "O": "J", "P": "L", "Q": "U", "R": "H", "S": "M", "T": "J", "U": "X", "V": "G", "W": "P", "X": "F"}, "n_symbols": 24, "orbit": ["W", "P", "L", "J", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> J\nQ -> U\nU -> X\nK -> N\nS -> M\nN -> R\nB -> F\nE -> G\nI -> D\nR -> H\nM -> U\nT -> J\nD -> P\nH -> N\nW -> P\nV -> G\nO -> J\nG -> D\nA -> I\nP -> L\nF -> O\nJ -> N\nC -> Q\nX -> F\n\nStart value: W\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B", "4": "D"}, "choices": {"A": "O", "B": "B", "C": "R", "D": "K"}, "depth": 4, "id": "test_d04_00019", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "K", "C": "B", "D": "W", "E": "I", "F": "C", "G": "A", "H": "S", "I": "O", "J": "V", "K": "Q", "L": "T", "M": "I", "N": "G", "O": "B", "P": "V", "Q": "R", "R": "O", "S": "T", "T": "Q", "U": "M", "V": "E", "W": "P", "X": "H"}, "n_symbols": 24, "orbit": ["Q", "R", "O", "B", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> Q\nX -> H\nU -> M\nE -> I\nP -> V\nQ -> R\nG -> A\nH -> S\nS -> T\nJ -> V\nR -> O\nL -> T\nM -> I\nF -> C\nO -> B\nW -> P\nD -> W\nN -> G\nT -> Q\nC -> B\nA -> K\nB -> K\nV -> E\nI -> O\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "K"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "N", "B": "X", "C": "R", "D": "C"}, "depth": 4, "id": "test_d04_00020", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "Q", "C": "X", "D": "N", "E": "E", "F": "M", "G": "L", "H": "X", "I": "R", "J": "I", "K": "T", "L": "S", "M": "K", "N": "C", "O": "N", "P": "T", "Q": "I", "R": "M", "S": "W", "T": "G", "U": "N", "V": "M", "W": "L", "X": "R"}, "n_symbols": 24, "orbit": ["D", "N", "C", "X", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> L\nI -> R\nX -> R\nG -> L\nV -> M\nU -> N\nO -> N\nK -> T\nM -> K\nH -> X\nR -> M\nL -> S\nD -> N\nF -> M\nB -> Q\nC -> X\nT -> G\nP -> T\nQ -> I\nN -> C\nJ -> I\nA -> C\nS -> W\nE -> E\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "R"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "J", "B": "R", "C": "E", "D": "H"}, "depth": 4, "id": "test_d04_00021", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "V", "C": "B", "D": "N", "E": "H", "F": "Q", "G": "D", "H": "N", "I": "R", "J": "E", "K": "P", "L": "O", "M": "R", "N": "A", "O": "K", "P": "O", "Q": "O", "R": "J", "S": "B", "T": "I", "U": "O", "V": "V", "W": "Q", "X": "D"}, "n_symbols": 24, "orbit": ["M", "R", "J", "E", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> J\nX -> D\nM -> R\nN -> A\nL -> O\nQ -> O\nK -> P\nA -> W\nV -> V\nE -> H\nS -> B\nF -> Q\nB -> V\nU -> O\nO -> K\nD -> N\nC -> B\nW -> Q\nH -> N\nT -> I\nJ -> E\nP -> O\nI -> R\nG -> D\n\nStart value: M\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "M", "target": "H"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "J", "B": "G", "C": "E", "D": "B"}, "depth": 4, "id": "test_d04_00022", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "J", "C": "M", "D": "J", "E": "B", "F": "G", "G": "E", "H": "B", "I": "F", "J": "M", "K": "U", "L": "X", "M": "G", "N": "L", "O": "T", "P": "X", "Q": "K", "R": "J", "S": "H", "T": "P", "U": "F", "V": "E", "W": "A", "X": "Q"}, "n_symbols": 24, "orbit": ["F", "G", "E", "B", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> J\nC -> M\nQ -> K\nP -> X\nV -> E\nW -> A\nS -> H\nU -> F\nK -> U\nJ -> M\nI -> F\nM -> G\nG -> E\nH -> B\nL -> X\nA -> E\nT -> P\nR -> J\nE -> B\nX -> Q\nF -> G\nD -> J\nO -> T\nN -> L\n\nStart value: F\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A", "4": "B"}, "choices": {"A": "P", "B": "F", "C": "X", "D": "V"}, "depth": 4, "id": "test_d04_00023", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "Q", "C": "P", "D": "P", "E": "U", "F": "K", "G": "K", "H": "D", "I": "Q", "J": "T", "K": "V", "L": "B", "M": "V", "N": "A", "O": "H", "P": "F", "Q": "P", "R": "X", "S": "D", "T": "P", "U": "O", "V": "X", "W": "W", "X": "P"}, "n_symbols": 24, "orbit": ["K", "V", "X", "P", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> P\nP -> F\nX -> P\nS -> D\nL -> B\nH -> D\nJ -> T\nU -> O\nD -> P\nN -> A\nE -> U\nT -> P\nG -> K\nF -> K\nI -> Q\nW -> W\nA -> T\nC -> P\nM -> V\nR -> X\nB -> Q\nV -> X\nO -> H\nK -> V\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "F"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D", "4": "B"}, "choices": {"A": "H", "B": "P", "C": "W", "D": "I"}, "depth": 4, "id": "test_d04_00024", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "U", "C": "L", "D": "G", "E": "W", "F": "K", "G": "M", "H": "I", "I": "P", "J": "U", "K": "J", "L": "Q", "M": "A", "N": "A", "O": "V", "P": "V", "Q": "I", "R": "U", "S": "G", "T": "G", "U": "M", "V": "U", "W": "H", "X": "E"}, "n_symbols": 24, "orbit": ["E", "W", "H", "I", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> L\nI -> P\nR -> U\nN -> A\nV -> U\nQ -> I\nJ -> U\nP -> V\nO -> V\nL -> Q\nD -> G\nS -> G\nW -> H\nE -> W\nB -> U\nT -> G\nG -> M\nH -> I\nK -> J\nF -> K\nX -> E\nU -> M\nM -> A\nA -> E\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "D", "B": "P", "C": "M", "D": "L"}, "depth": 4, "id": "test_d04_00025", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "T", "C": "I", "D": "P", "E": "J", "F": "O", "G": "O", "H": "S", "I": "C", "J": "P", "K": "W", "L": "M", "M": "S", "N": "F", "O": "O", "P": "L", "Q": "D", "R": "S", "S": "S", "T": "A", "U": "O", "V": "P", "W": "D", "X": "S"}, "n_symbols": 24, "orbit": ["W", "D", "P", "L", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> D\nF -> O\nH -> S\nL -> M\nC -> I\nD -> P\nQ -> D\nX -> S\nB -> T\nV -> P\nT -> A\nE -> J\nA -> H\nR -> S\nP -> L\nJ -> P\nK -> W\nI -> C\nG -> O\nN -> F\nS -> S\nM -> S\nO -> O\nU -> O\n\nStart value: W\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "M"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "E", "B": "G", "C": "D", "D": "H"}, "depth": 4, "id": "test_d04_00026", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "L", "C": "E", "D": "H", "E": "C", "F": "G", "G": "D", "H": "E", "I": "U", "J": "O", "K": "S", "L": "O", "M": "A", "N": "H", "O": "F", "P": "B", "Q": "G", "R": "J", "S": "W", "T": "B", "U": "O", "V": "X", "W": "B", "X": "R"}, "n_symbols": 24, "orbit": ["Q", "G", "D", "H", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> L\nX -> R\nQ -> G\nT -> B\nJ -> O\nH -> E\nK -> S\nR -> J\nF -> G\nI -> U\nC -> E\nO -> F\nL -> O\nA -> B\nV -> X\nP -> B\nG -> D\nD -> H\nS -> W\nN -> H\nM -> A\nU -> O\nE -> C\nW -> B\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "E"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A", "4": "C"}, "choices": {"A": "S", "B": "A", "C": "X", "D": "P"}, "depth": 4, "id": "test_d04_00027", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "C", "C": "W", "D": "G", "E": "A", "F": "M", "G": "M", "H": "E", "I": "L", "J": "M", "K": "X", "L": "F", "M": "P", "N": "E", "O": "L", "P": "S", "Q": "H", "R": "D", "S": "X", "T": "G", "U": "E", "V": "A", "W": "M", "X": "K"}, "n_symbols": 24, "orbit": ["V", "A", "P", "S", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> P\nN -> E\nO -> L\nL -> F\nB -> C\nJ -> M\nS -> X\nR -> D\nQ -> H\nH -> E\nW -> M\nG -> M\nV -> A\nD -> G\nP -> S\nK -> X\nM -> P\nI -> L\nT -> G\nF -> M\nX -> K\nE -> A\nU -> E\nC -> W\n\nStart value: V\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "X", "B": "A", "C": "C", "D": "V"}, "depth": 4, "id": "test_d04_00028", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "T", "C": "K", "D": "T", "E": "K", "F": "E", "G": "N", "H": "X", "I": "K", "J": "N", "K": "U", "L": "S", "M": "V", "N": "O", "O": "N", "P": "H", "Q": "C", "R": "G", "S": "L", "T": "U", "U": "L", "V": "A", "W": "P", "X": "V"}, "n_symbols": 24, "orbit": ["H", "X", "V", "A", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> C\nE -> K\nF -> E\nX -> V\nO -> N\nK -> U\nN -> O\nP -> H\nU -> L\nR -> G\nC -> K\nL -> S\nA -> C\nV -> A\nH -> X\nD -> T\nG -> N\nJ -> N\nB -> T\nI -> K\nT -> U\nW -> P\nM -> V\nS -> L\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "C"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "B", "B": "L", "C": "M", "D": "X"}, "depth": 4, "id": "test_d04_00029", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "L", "C": "E", "D": "E", "E": "B", "F": "Q", "G": "N", "H": "P", "I": "K", "J": "B", "K": "I", "L": "X", "M": "F", "N": "V", "O": "S", "P": "Q", "Q": "F", "R": "M", "S": "H", "T": "Q", "U": "C", "V": "F", "W": "R", "X": "M"}, "n_symbols": 24, "orbit": ["E", "B", "L", "X", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> C\nF -> Q\nK -> I\nH -> P\nT -> Q\nE -> B\nV -> F\nD -> E\nS -> H\nM -> F\nL -> X\nN -> V\nC -> E\nP -> Q\nG -> N\nW -> R\nJ -> B\nI -> K\nB -> L\nO -> S\nQ -> F\nA -> L\nX -> M\nR -> M\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "M"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C", "4": "A"}, "choices": {"A": "L", "B": "C", "C": "I", "D": "D"}, "depth": 4, "id": "test_d04_00030", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "N", "C": "D", "D": "I", "E": "X", "F": "Q", "G": "S", "H": "U", "I": "L", "J": "A", "K": "G", "L": "L", "M": "N", "N": "R", "O": "K", "P": "X", "Q": "E", "R": "M", "S": "V", "T": "H", "U": "C", "V": "V", "W": "K", "X": "C"}, "n_symbols": 24, "orbit": ["X", "C", "D", "I", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> L\nE -> X\nJ -> A\nO -> K\nU -> C\nQ -> E\nP -> X\nA -> T\nR -> M\nB -> N\nG -> S\nK -> G\nM -> N\nN -> R\nD -> I\nC -> D\nW -> K\nV -> V\nI -> L\nX -> C\nH -> U\nF -> Q\nS -> V\nT -> H\n\nStart value: X\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "L"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "L", "B": "S", "C": "C", "D": "N"}, "depth": 4, "id": "test_d04_00031", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "J", "C": "L", "D": "Q", "E": "T", "F": "B", "G": "S", "H": "D", "I": "O", "J": "A", "K": "I", "L": "N", "M": "C", "N": "F", "O": "G", "P": "D", "Q": "G", "R": "X", "S": "C", "T": "W", "U": "T", "V": "A", "W": "W", "X": "T"}, "n_symbols": 24, "orbit": ["G", "S", "C", "L", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> A\nT -> W\nS -> C\nX -> T\nP -> D\nH -> D\nU -> T\nO -> G\nI -> O\nR -> X\nF -> B\nC -> L\nN -> F\nJ -> A\nD -> Q\nW -> W\nG -> S\nL -> N\nM -> C\nE -> T\nQ -> G\nB -> J\nA -> O\nK -> I\n\nStart value: G\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B", "4": "D"}, "choices": {"A": "H", "B": "D", "C": "B", "D": "E"}, "depth": 4, "id": "test_d04_00032", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "D", "C": "D", "D": "E", "E": "P", "F": "B", "G": "W", "H": "B", "I": "R", "J": "E", "K": "H", "L": "N", "M": "B", "N": "C", "O": "C", "P": "O", "Q": "X", "R": "B", "S": "D", "T": "E", "U": "H", "V": "A", "W": "T", "X": "V"}, "n_symbols": 24, "orbit": ["K", "H", "B", "D", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> O\nE -> P\nV -> A\nK -> H\nO -> C\nA -> W\nD -> E\nM -> B\nG -> W\nC -> D\nU -> H\nI -> R\nW -> T\nN -> C\nR -> B\nJ -> E\nH -> B\nF -> B\nT -> E\nL -> N\nQ -> X\nX -> V\nS -> D\nB -> D\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "E"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "O", "B": "X", "C": "P", "D": "C"}, "depth": 4, "id": "test_d04_00033", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "D", "C": "P", "D": "M", "E": "S", "F": "K", "G": "F", "H": "N", "I": "U", "J": "X", "K": "C", "L": "R", "M": "Q", "N": "R", "O": "C", "P": "O", "Q": "Q", "R": "X", "S": "P", "T": "F", "U": "P", "V": "R", "W": "Q", "X": "P"}, "n_symbols": 24, "orbit": ["R", "X", "P", "O", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nV -> R\nQ -> Q\nN -> R\nP -> O\nA -> K\nG -> F\nH -> N\nF -> K\nB -> D\nK -> C\nD -> M\nI -> U\nM -> Q\nC -> P\nT -> F\nW -> Q\nJ -> X\nO -> C\nL -> R\nR -> X\nX -> P\nU -> P\nE -> S\nS -> P\n\nStart value: R\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "C"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D", "4": "C"}, "choices": {"A": "J", "B": "V", "C": "Q", "D": "S"}, "depth": 4, "id": "test_d04_00034", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "V", "C": "H", "D": "L", "E": "V", "F": "C", "G": "C", "H": "G", "I": "K", "J": "S", "K": "X", "L": "U", "M": "C", "N": "A", "O": "K", "P": "G", "Q": "O", "R": "H", "S": "Q", "T": "T", "U": "O", "V": "J", "W": "N", "X": "H"}, "n_symbols": 24, "orbit": ["E", "V", "J", "S", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> O\nX -> H\nK -> X\nA -> E\nB -> V\nL -> U\nH -> G\nR -> H\nC -> H\nF -> C\nG -> C\nJ -> S\nO -> K\nV -> J\nE -> V\nU -> O\nM -> C\nD -> L\nI -> K\nS -> Q\nP -> G\nW -> N\nN -> A\nT -> T\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B", "4": "A"}, "choices": {"A": "F", "B": "U", "C": "Q", "D": "V"}, "depth": 4, "id": "test_d04_00035", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "I", "C": "W", "D": "F", "E": "W", "F": "T", "G": "F", "H": "O", "I": "D", "J": "B", "K": "H", "L": "Q", "M": "A", "N": "X", "O": "G", "P": "V", "Q": "V", "R": "R", "S": "N", "T": "K", "U": "F", "V": "U", "W": "T", "X": "U"}, "n_symbols": 24, "orbit": ["L", "Q", "V", "U", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> W\nH -> O\nS -> N\nE -> W\nR -> R\nG -> F\nC -> W\nO -> G\nW -> T\nT -> K\nB -> I\nM -> A\nQ -> V\nX -> U\nJ -> B\nV -> U\nK -> H\nD -> F\nP -> V\nL -> Q\nN -> X\nF -> T\nI -> D\nU -> F\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "F"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C", "4": "D"}, "choices": {"A": "E", "B": "Q", "C": "R", "D": "P"}, "depth": 4, "id": "test_d04_00036", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "C", "C": "D", "D": "K", "E": "Q", "F": "D", "G": "J", "H": "I", "I": "G", "J": "E", "K": "P", "L": "E", "M": "N", "N": "A", "O": "U", "P": "T", "Q": "R", "R": "P", "S": "W", "T": "A", "U": "F", "V": "P", "W": "N", "X": "V"}, "n_symbols": 24, "orbit": ["J", "E", "Q", "R", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nT -> A\nO -> U\nU -> F\nH -> I\nL -> E\nS -> W\nD -> K\nQ -> R\nA -> K\nE -> Q\nK -> P\nR -> P\nC -> D\nF -> D\nP -> T\nW -> N\nI -> G\nN -> A\nV -> P\nB -> C\nX -> V\nG -> J\nM -> N\nJ -> E\n\nStart value: J\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "P"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A", "4": "C"}, "choices": {"A": "O", "B": "V", "C": "Q", "D": "R"}, "depth": 4, "id": "test_d04_00037", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "V", "C": "B", "D": "J", "E": "Q", "F": "A", "G": "R", "H": "M", "I": "N", "J": "K", "K": "E", "L": "U", "M": "B", "N": "L", "O": "Q", "P": "S", "Q": "A", "R": "V", "S": "O", "T": "M", "U": "B", "V": "O", "W": "G", "X": "N"}, "n_symbols": 24, "orbit": ["G", "R", "V", "O", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> R\nS -> O\nP -> S\nF -> A\nC -> B\nH -> M\nU -> B\nA -> Q\nD -> J\nN -> L\nO -> Q\nB -> V\nI -> N\nV -> O\nQ -> A\nM -> B\nW -> G\nE -> Q\nK -> E\nR -> V\nL -> U\nX -> N\nT -> M\nJ -> K\n\nStart value: G\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "Q"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "B", "4": "A"}, "choices": {"A": "B", "B": "H", "C": "E", "D": "Q"}, "depth": 4, "id": "test_d04_00038", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "K", "C": "W", "D": "F", "E": "H", "F": "Q", "G": "I", "H": "B", "I": "B", "J": "Q", "K": "M", "L": "R", "M": "A", "N": "Q", "O": "G", "P": "X", "Q": "E", "R": "C", "S": "S", "T": "R", "U": "W", "V": "Q", "W": "V", "X": "Q"}, "n_symbols": 24, "orbit": ["J", "Q", "E", "H", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> Q\nC -> W\nI -> B\nP -> X\nG -> I\nA -> D\nH -> B\nQ -> E\nV -> Q\nK -> M\nJ -> Q\nR -> C\nS -> S\nN -> Q\nX -> Q\nW -> V\nT -> R\nM -> A\nB -> K\nE -> H\nD -> F\nU -> W\nO -> G\nL -> R\n\nStart value: J\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "B"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B", "4": "C"}, "choices": {"A": "B", "B": "J", "C": "A", "D": "T"}, "depth": 4, "id": "test_d04_00039", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "J", "C": "T", "D": "E", "E": "W", "F": "N", "G": "B", "H": "M", "I": "K", "J": "A", "K": "O", "L": "O", "M": "G", "N": "E", "O": "C", "P": "V", "Q": "W", "R": "B", "S": "I", "T": "B", "U": "T", "V": "X", "W": "L", "X": "A"}, "n_symbols": 24, "orbit": ["C", "T", "B", "J", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> W\nM -> G\nR -> B\nL -> O\nK -> O\nB -> J\nN -> E\nP -> V\nV -> X\nJ -> A\nS -> I\nG -> B\nT -> B\nO -> C\nE -> W\nA -> X\nF -> N\nC -> T\nW -> L\nX -> A\nU -> T\nD -> E\nI -> K\nH -> M\n\nStart value: C\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "S", "B": "H", "C": "F", "D": "C"}, "depth": 4, "id": "test_d04_00040", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "X", "C": "H", "D": "S", "E": "R", "F": "D", "G": "K", "H": "F", "I": "T", "J": "E", "K": "P", "L": "P", "M": "V", "N": "D", "O": "D", "P": "W", "Q": "P", "R": "B", "S": "C", "T": "S", "U": "J", "V": "X", "W": "O", "X": "X"}, "n_symbols": 24, "orbit": ["T", "S", "C", "H", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> E\nV -> X\nG -> K\nI -> T\nS -> C\nW -> O\nD -> S\nF -> D\nE -> R\nC -> H\nK -> P\nN -> D\nB -> X\nA -> U\nM -> V\nX -> X\nH -> F\nP -> W\nR -> B\nO -> D\nQ -> P\nL -> P\nU -> J\nT -> S\n\nStart value: T\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "F"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "L", "B": "V", "C": "J", "D": "R"}, "depth": 4, "id": "test_d04_00041", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "N", "C": "N", "D": "S", "E": "J", "F": "V", "G": "S", "H": "W", "I": "D", "J": "M", "K": "K", "L": "R", "M": "L", "N": "V", "O": "F", "P": "K", "Q": "I", "R": "V", "S": "V", "T": "D", "U": "K", "V": "J", "W": "K", "X": "L"}, "n_symbols": 24, "orbit": ["X", "L", "R", "V", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> R\nF -> V\nO -> F\nE -> J\nA -> E\nN -> V\nG -> S\nH -> W\nB -> N\nX -> L\nS -> V\nV -> J\nU -> K\nC -> N\nR -> V\nT -> D\nQ -> I\nP -> K\nI -> D\nJ -> M\nD -> S\nM -> L\nK -> K\nW -> K\n\nStart value: X\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "J"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "F", "B": "X", "C": "B", "D": "R"}, "depth": 4, "id": "test_d04_00042", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "R", "C": "X", "D": "X", "E": "K", "F": "I", "G": "G", "H": "D", "I": "J", "J": "W", "K": "D", "L": "F", "M": "S", "N": "U", "O": "H", "P": "J", "Q": "X", "R": "F", "S": "T", "T": "I", "U": "I", "V": "C", "W": "H", "X": "B"}, "n_symbols": 24, "orbit": ["D", "X", "B", "R", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> I\nX -> B\nW -> H\nP -> J\nS -> T\nB -> R\nE -> K\nN -> U\nI -> J\nL -> F\nQ -> X\nH -> D\nT -> I\nA -> G\nO -> H\nG -> G\nV -> C\nD -> X\nJ -> W\nF -> I\nR -> F\nM -> S\nK -> D\nC -> X\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "F"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "P", "B": "Q", "C": "J", "D": "B"}, "depth": 4, "id": "test_d04_00043", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "J", "C": "V", "D": "T", "E": "N", "F": "M", "G": "Q", "H": "P", "I": "C", "J": "H", "K": "L", "L": "V", "M": "K", "N": "O", "O": "O", "P": "Q", "Q": "B", "R": "D", "S": "Q", "T": "O", "U": "R", "V": "A", "W": "Q", "X": "M"}, "n_symbols": 24, "orbit": ["H", "P", "Q", "B", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> Q\nM -> K\nG -> Q\nP -> Q\nN -> O\nR -> D\nX -> M\nH -> P\nE -> N\nA -> O\nQ -> B\nL -> V\nV -> A\nB -> J\nU -> R\nD -> T\nI -> C\nO -> O\nJ -> H\nW -> Q\nF -> M\nT -> O\nC -> V\nK -> L\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "J"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C", "4": "B"}, "choices": {"A": "G", "B": "Q", "C": "N", "D": "A"}, "depth": 4, "id": "test_d04_00044", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "Q", "C": "C", "D": "G", "E": "J", "F": "G", "G": "A", "H": "E", "I": "L", "J": "M", "K": "B", "L": "L", "M": "C", "N": "Q", "O": "B", "P": "F", "Q": "J", "R": "V", "S": "P", "T": "T", "U": "D", "V": "B", "W": "I", "X": "D"}, "n_symbols": 24, "orbit": ["F", "G", "A", "N", "Q"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> F\nU -> D\nI -> L\nM -> C\nR -> V\nV -> B\nO -> B\nS -> P\nW -> I\nF -> G\nH -> E\nB -> Q\nN -> Q\nJ -> M\nC -> C\nG -> A\nL -> L\nQ -> J\nX -> D\nK -> B\nE -> J\nA -> N\nT -> T\nD -> G\n\nStart value: F\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "Q"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A", "4": "B"}, "choices": {"A": "E", "B": "F", "C": "I", "D": "K"}, "depth": 4, "id": "test_d04_00045", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "E", "C": "O", "D": "D", "E": "F", "F": "W", "G": "W", "H": "X", "I": "E", "J": "M", "K": "I", "L": "L", "M": "L", "N": "C", "O": "K", "P": "R", "Q": "L", "R": "E", "S": "S", "T": "T", "U": "A", "V": "U", "W": "A", "X": "X"}, "n_symbols": 24, "orbit": ["O", "K", "I", "E", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> O\nI -> E\nE -> F\nK -> I\nR -> E\nV -> U\nF -> W\nS -> S\nQ -> L\nA -> C\nB -> E\nT -> T\nX -> X\nM -> L\nJ -> M\nO -> K\nU -> A\nD -> D\nN -> C\nL -> L\nH -> X\nW -> A\nP -> R\nG -> W\n\nStart value: O\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "F"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D", "4": "B"}, "choices": {"A": "X", "B": "H", "C": "O", "D": "A"}, "depth": 4, "id": "test_d04_00046", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "I", "C": "D", "D": "O", "E": "E", "F": "M", "G": "C", "H": "B", "I": "U", "J": "U", "K": "C", "L": "L", "M": "G", "N": "O", "O": "X", "P": "X", "Q": "U", "R": "K", "S": "W", "T": "R", "U": "B", "V": "X", "W": "M", "X": "A"}, "n_symbols": 24, "orbit": ["N", "O", "X", "A", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> M\nI -> U\nN -> O\nJ -> U\nC -> D\nH -> B\nO -> X\nG -> C\nW -> M\nE -> E\nR -> K\nB -> I\nL -> L\nP -> X\nS -> W\nX -> A\nQ -> U\nM -> G\nK -> C\nT -> R\nD -> O\nU -> B\nV -> X\nA -> H\n\nStart value: N\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "H"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B", "4": "D"}, "choices": {"A": "C", "B": "G", "C": "E", "D": "L"}, "depth": 4, "id": "test_d04_00047", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "S", "C": "E", "D": "C", "E": "G", "F": "O", "G": "L", "H": "I", "I": "N", "J": "C", "K": "S", "L": "W", "M": "J", "N": "I", "O": "Q", "P": "S", "Q": "K", "R": "X", "S": "S", "T": "O", "U": "L", "V": "B", "W": "H", "X": "E"}, "n_symbols": 24, "orbit": ["J", "C", "E", "G", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> O\nD -> C\nA -> E\nV -> B\nE -> G\nW -> H\nT -> O\nQ -> K\nK -> S\nG -> L\nB -> S\nN -> I\nM -> J\nJ -> C\nR -> X\nC -> E\nH -> I\nO -> Q\nX -> E\nU -> L\nL -> W\nP -> S\nS -> S\nI -> N\n\nStart value: J\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "L"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A", "4": "C"}, "choices": {"A": "T", "B": "C", "C": "G", "D": "X"}, "depth": 4, "id": "test_d04_00048", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "C", "C": "T", "D": "R", "E": "X", "F": "W", "G": "V", "H": "O", "I": "S", "J": "L", "K": "O", "L": "A", "M": "P", "N": "G", "O": "U", "P": "U", "Q": "R", "R": "X", "S": "G", "T": "G", "U": "B", "V": "X", "W": "F", "X": "C"}, "n_symbols": 24, "orbit": ["R", "X", "C", "T", "G"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> S\nG -> V\nD -> R\nN -> G\nM -> P\nP -> U\nU -> B\nV -> X\nL -> A\nF -> W\nQ -> R\nW -> F\nJ -> L\nO -> U\nB -> C\nE -> X\nS -> G\nT -> G\nK -> O\nR -> X\nC -> T\nH -> O\nA -> P\nX -> C\n\nStart value: R\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "G"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B", "4": "C"}, "choices": {"A": "A", "B": "N", "C": "X", "D": "M"}, "depth": 4, "id": "test_d04_00049", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "E", "C": "D", "D": "E", "E": "B", "F": "M", "G": "W", "H": "V", "I": "I", "J": "C", "K": "N", "L": "F", "M": "A", "N": "X", "O": "H", "P": "B", "Q": "T", "R": "O", "S": "M", "T": "D", "U": "K", "V": "L", "W": "A", "X": "T"}, "n_symbols": 24, "orbit": ["F", "M", "A", "N", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> T\nG -> W\nL -> F\nB -> E\nF -> M\nU -> K\nC -> D\nS -> M\nR -> O\nA -> N\nV -> L\nH -> V\nT -> D\nD -> E\nN -> X\nW -> A\nP -> B\nK -> N\nI -> I\nE -> B\nO -> H\nM -> A\nX -> T\nJ -> C\n\nStart value: F\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "X"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A", "4": "B"}, "choices": {"A": "B", "B": "R", "C": "W", "D": "L"}, "depth": 4, "id": "test_d04_00050", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "R", "C": "D", "D": "C", "E": "H", "F": "N", "G": "T", "H": "G", "I": "B", "J": "G", "K": "S", "L": "W", "M": "F", "N": "U", "O": "V", "P": "F", "Q": "J", "R": "N", "S": "L", "T": "C", "U": "L", "V": "D", "W": "B", "X": "F"}, "n_symbols": 24, "orbit": ["S", "L", "W", "B", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> G\nU -> L\nW -> B\nS -> L\nL -> W\nN -> U\nJ -> G\nX -> F\nK -> S\nT -> C\nP -> F\nF -> N\nM -> F\nV -> D\nG -> T\nE -> H\nD -> C\nQ -> J\nO -> V\nB -> R\nA -> U\nR -> N\nI -> B\nC -> D\n\nStart value: S\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "R"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "B", "4": "A"}, "choices": {"A": "T", "B": "R", "C": "B", "D": "N"}, "depth": 4, "id": "test_d04_00051", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "R", "C": "D", "D": "T", "E": "X", "F": "E", "G": "K", "H": "B", "I": "N", "J": "F", "K": "O", "L": "N", "M": "R", "N": "B", "O": "S", "P": "V", "Q": "G", "R": "T", "S": "V", "T": "C", "U": "I", "V": "J", "W": "C", "X": "H"}, "n_symbols": 24, "orbit": ["L", "N", "B", "R", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> S\nT -> C\nA -> O\nG -> K\nU -> I\nJ -> F\nE -> X\nS -> V\nL -> N\nM -> R\nK -> O\nW -> C\nB -> R\nN -> B\nP -> V\nC -> D\nQ -> G\nH -> B\nF -> E\nD -> T\nX -> H\nI -> N\nV -> J\nR -> T\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "J", "B": "T", "C": "L", "D": "D"}, "depth": 4, "id": "test_d04_00052", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "I", "C": "T", "D": "J", "E": "C", "F": "H", "G": "L", "H": "U", "I": "V", "J": "Q", "K": "E", "L": "D", "M": "P", "N": "D", "O": "S", "P": "F", "Q": "P", "R": "B", "S": "N", "T": "L", "U": "P", "V": "O", "W": "G", "X": "K"}, "n_symbols": 24, "orbit": ["C", "T", "L", "D", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> Q\nG -> L\nN -> D\nU -> P\nV -> O\nD -> J\nS -> N\nA -> W\nE -> C\nR -> B\nX -> K\nH -> U\nC -> T\nK -> E\nL -> D\nW -> G\nI -> V\nQ -> P\nM -> P\nB -> I\nP -> F\nO -> S\nT -> L\nF -> H\n\nStart value: C\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "J"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B", "4": "A"}, "choices": {"A": "U", "B": "W", "C": "F", "D": "K"}, "depth": 4, "id": "test_d04_00053", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "R", "C": "W", "D": "P", "E": "B", "F": "K", "G": "F", "H": "H", "I": "K", "J": "F", "K": "W", "L": "D", "M": "A", "N": "P", "O": "C", "P": "K", "Q": "S", "R": "V", "S": "T", "T": "I", "U": "F", "V": "U", "W": "U", "X": "S"}, "n_symbols": 24, "orbit": ["J", "F", "K", "W", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> W\nD -> P\nC -> W\nR -> V\nN -> P\nV -> U\nU -> F\nO -> C\nJ -> F\nL -> D\nW -> U\nT -> I\nG -> F\nP -> K\nI -> K\nF -> K\nE -> B\nA -> W\nS -> T\nM -> A\nQ -> S\nX -> S\nB -> R\nH -> H\n\nStart value: J\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B", "4": "C"}, "choices": {"A": "C", "B": "B", "C": "X", "D": "E"}, "depth": 4, "id": "test_d04_00054", "intermediate_chain_supervision": true, "mapping": {"A": "O", "B": "X", "C": "B", "D": "I", "E": "C", "F": "P", "G": "O", "H": "P", "I": "U", "J": "A", "K": "U", "L": "L", "M": "L", "N": "I", "O": "E", "P": "P", "Q": "P", "R": "F", "S": "U", "T": "J", "U": "E", "V": "B", "W": "K", "X": "C"}, "n_symbols": 24, "orbit": ["O", "E", "C", "B", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> P\nL -> L\nJ -> A\nM -> L\nK -> U\nU -> E\nI -> U\nV -> B\nC -> B\nH -> P\nR -> F\nD -> I\nE -> C\nO -> E\nA -> O\nF -> P\nX -> C\nS -> U\nQ -> P\nG -> O\nN -> I\nB -> X\nW -> K\nT -> J\n\nStart value: O\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "X"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A", "4": "B"}, "choices": {"A": "Q", "B": "I", "C": "N", "D": "T"}, "depth": 4, "id": "test_d04_00055", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "H", "C": "R", "D": "S", "E": "B", "F": "S", "G": "O", "H": "V", "I": "P", "J": "J", "K": "P", "L": "U", "M": "A", "N": "T", "O": "M", "P": "E", "Q": "I", "R": "H", "S": "F", "T": "Q", "U": "B", "V": "P", "W": "K", "X": "N"}, "n_symbols": 24, "orbit": ["X", "N", "T", "Q", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> H\nC -> R\nD -> S\nS -> F\nP -> E\nA -> T\nM -> A\nI -> P\nE -> B\nN -> T\nH -> V\nL -> U\nV -> P\nU -> B\nW -> K\nO -> M\nF -> S\nG -> O\nJ -> J\nQ -> I\nT -> Q\nB -> H\nK -> P\nX -> N\n\nStart value: X\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "I"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "W", "B": "P", "C": "L", "D": "H"}, "depth": 4, "id": "test_d04_00056", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "W", "C": "U", "D": "F", "E": "I", "F": "W", "G": "D", "H": "P", "I": "W", "J": "N", "K": "P", "L": "K", "M": "S", "N": "P", "O": "L", "P": "L", "Q": "R", "R": "B", "S": "F", "T": "H", "U": "S", "V": "D", "W": "H", "X": "S"}, "n_symbols": 24, "orbit": ["I", "W", "H", "P", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> F\nO -> L\nB -> W\nN -> P\nD -> F\nR -> B\nM -> S\nT -> H\nI -> W\nE -> I\nH -> P\nQ -> R\nW -> H\nV -> D\nJ -> N\nA -> R\nU -> S\nP -> L\nK -> P\nL -> K\nC -> U\nG -> D\nX -> S\nF -> W\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "L"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "X", "B": "N", "C": "R", "D": "S"}, "depth": 4, "id": "test_d04_00057", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "E", "C": "F", "D": "R", "E": "I", "F": "P", "G": "F", "H": "C", "I": "X", "J": "A", "K": "V", "L": "U", "M": "I", "N": "R", "O": "U", "P": "E", "Q": "V", "R": "R", "S": "N", "T": "J", "U": "I", "V": "M", "W": "J", "X": "S"}, "n_symbols": 24, "orbit": ["I", "X", "S", "N", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> V\nM -> I\nQ -> V\nR -> R\nN -> R\nS -> N\nI -> X\nO -> U\nC -> F\nF -> P\nB -> E\nG -> F\nA -> L\nL -> U\nD -> R\nE -> I\nJ -> A\nT -> J\nH -> C\nU -> I\nP -> E\nW -> J\nX -> S\nV -> M\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "R"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "V", "B": "L", "C": "D", "D": "B"}, "depth": 4, "id": "test_d04_00058", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "L", "C": "S", "D": "S", "E": "S", "F": "J", "G": "E", "H": "V", "I": "L", "J": "T", "K": "N", "L": "D", "M": "H", "N": "A", "O": "T", "P": "P", "Q": "V", "R": "C", "S": "X", "T": "E", "U": "S", "V": "B", "W": "O", "X": "T"}, "n_symbols": 24, "orbit": ["H", "V", "B", "L", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> S\nT -> E\nW -> O\nO -> T\nF -> J\nH -> V\nR -> C\nN -> A\nC -> S\nS -> X\nX -> T\nU -> S\nJ -> T\nA -> E\nV -> B\nD -> S\nB -> L\nM -> H\nQ -> V\nG -> E\nK -> N\nL -> D\nI -> L\nP -> P\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "D"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "P", "B": "O", "C": "B", "D": "J"}, "depth": 4, "id": "test_d04_00059", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "P", "C": "W", "D": "N", "E": "Q", "F": "T", "G": "L", "H": "J", "I": "T", "J": "R", "K": "E", "L": "C", "M": "D", "N": "C", "O": "B", "P": "J", "Q": "V", "R": "P", "S": "N", "T": "N", "U": "O", "V": "D", "W": "V", "X": "B"}, "n_symbols": 24, "orbit": ["U", "O", "B", "P", "J"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> Q\nH -> J\nT -> N\nS -> N\nL -> C\nJ -> R\nX -> B\nK -> E\nC -> W\nQ -> V\nN -> C\nD -> N\nV -> D\nW -> V\nI -> T\nF -> T\nO -> B\nP -> J\nM -> D\nA -> M\nB -> P\nR -> P\nU -> O\nG -> L\n\nStart value: U\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "J"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D", "4": "C"}, "choices": {"A": "Q", "B": "N", "C": "V", "D": "G"}, "depth": 4, "id": "test_d04_00060", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "R", "C": "P", "D": "K", "E": "A", "F": "U", "G": "V", "H": "J", "I": "Q", "J": "H", "K": "U", "L": "N", "M": "R", "N": "Q", "O": "N", "P": "Q", "Q": "G", "R": "J", "S": "E", "T": "X", "U": "O", "V": "S", "W": "A", "X": "U"}, "n_symbols": 24, "orbit": ["L", "N", "Q", "G", "V"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> A\nF -> U\nB -> R\nX -> U\nP -> Q\nM -> R\nO -> N\nH -> J\nK -> U\nW -> A\nV -> S\nD -> K\nC -> P\nJ -> H\nR -> J\nN -> Q\nI -> Q\nG -> V\nS -> E\nL -> N\nT -> X\nQ -> G\nU -> O\nA -> C\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "V"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C", "4": "A"}, "choices": {"A": "D", "B": "H", "C": "T", "D": "J"}, "depth": 4, "id": "test_d04_00061", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "S", "C": "N", "D": "P", "E": "E", "F": "J", "G": "T", "H": "T", "I": "X", "J": "H", "K": "L", "L": "K", "M": "G", "N": "B", "O": "A", "P": "Q", "Q": "S", "R": "C", "S": "O", "T": "D", "U": "N", "V": "V", "W": "G", "X": "B"}, "n_symbols": 24, "orbit": ["F", "J", "H", "T", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> J\nW -> G\nK -> L\nN -> B\nE -> E\nC -> N\nT -> D\nR -> C\nX -> B\nA -> W\nO -> A\nG -> T\nJ -> H\nM -> G\nD -> P\nI -> X\nL -> K\nU -> N\nQ -> S\nP -> Q\nH -> T\nV -> V\nS -> O\nB -> S\n\nStart value: F\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "F", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B", "4": "A"}, "choices": {"A": "L", "B": "O", "C": "K", "D": "V"}, "depth": 4, "id": "test_d04_00062", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "H", "C": "J", "D": "Q", "E": "S", "F": "H", "G": "W", "H": "T", "I": "S", "J": "G", "K": "V", "L": "E", "M": "D", "N": "O", "O": "L", "P": "A", "Q": "Q", "R": "E", "S": "N", "T": "M", "U": "E", "V": "O", "W": "K", "X": "G"}, "n_symbols": 24, "orbit": ["W", "K", "V", "O", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> K\nJ -> G\nE -> S\nR -> E\nQ -> Q\nC -> J\nN -> O\nB -> H\nT -> M\nV -> O\nA -> J\nO -> L\nD -> Q\nP -> A\nM -> D\nK -> V\nI -> S\nF -> H\nH -> T\nL -> E\nG -> W\nU -> E\nX -> G\nS -> N\n\nStart value: W\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "L"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "U", "B": "F", "C": "N", "D": "W"}, "depth": 4, "id": "test_d04_00063", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "R", "C": "D", "D": "F", "E": "I", "F": "U", "G": "R", "H": "U", "I": "S", "J": "D", "K": "R", "L": "C", "M": "X", "N": "W", "O": "V", "P": "H", "Q": "C", "R": "J", "S": "X", "T": "N", "U": "N", "V": "S", "W": "C", "X": "P"}, "n_symbols": 24, "orbit": ["D", "F", "U", "N", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> C\nX -> P\nU -> N\nR -> J\nW -> C\nH -> U\nL -> C\nB -> R\nN -> W\nI -> S\nC -> D\nT -> N\nA -> T\nD -> F\nG -> R\nS -> X\nP -> H\nE -> I\nO -> V\nK -> R\nJ -> D\nV -> S\nM -> X\nF -> U\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "W"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "D", "4": "B"}, "choices": {"A": "S", "B": "N", "C": "O", "D": "L"}, "depth": 4, "id": "test_d04_00064", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "S", "C": "M", "D": "E", "E": "K", "F": "A", "G": "N", "H": "L", "I": "W", "J": "R", "K": "B", "L": "N", "M": "J", "N": "B", "O": "L", "P": "J", "Q": "M", "R": "D", "S": "O", "T": "O", "U": "S", "V": "Q", "W": "G", "X": "C"}, "n_symbols": 24, "orbit": ["U", "S", "O", "L", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> M\nQ -> M\nB -> S\nR -> D\nT -> O\nO -> L\nS -> O\nW -> G\nE -> K\nJ -> R\nD -> E\nN -> B\nL -> N\nX -> C\nI -> W\nG -> N\nH -> L\nP -> J\nM -> J\nA -> T\nU -> S\nK -> B\nV -> Q\nF -> A\n\nStart value: U\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "Q", "B": "F", "C": "G", "D": "C"}, "depth": 4, "id": "test_d04_00065", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "J", "C": "R", "D": "F", "E": "D", "F": "G", "G": "Q", "H": "M", "I": "U", "J": "L", "K": "H", "L": "L", "M": "I", "N": "O", "O": "O", "P": "A", "Q": "C", "R": "P", "S": "N", "T": "E", "U": "X", "V": "K", "W": "X", "X": "T"}, "n_symbols": 24, "orbit": ["D", "F", "G", "Q", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> P\nV -> K\nE -> D\nL -> L\nU -> X\nA -> T\nX -> T\nK -> H\nT -> E\nF -> G\nW -> X\nG -> Q\nP -> A\nD -> F\nC -> R\nM -> I\nH -> M\nQ -> C\nJ -> L\nN -> O\nB -> J\nI -> U\nO -> O\nS -> N\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "C"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "B", "B": "N", "C": "L", "D": "E"}, "depth": 4, "id": "test_d04_00066", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "E", "C": "Q", "D": "B", "E": "N", "F": "U", "G": "X", "H": "L", "I": "P", "J": "G", "K": "B", "L": "R", "M": "M", "N": "L", "O": "H", "P": "O", "Q": "J", "R": "R", "S": "J", "T": "G", "U": "W", "V": "A", "W": "K", "X": "B"}, "n_symbols": 24, "orbit": ["K", "B", "E", "N", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> M\nL -> R\nH -> L\nG -> X\nT -> G\nA -> X\nB -> E\nE -> N\nD -> B\nC -> Q\nX -> B\nP -> O\nR -> R\nU -> W\nW -> K\nK -> B\nN -> L\nS -> J\nI -> P\nJ -> G\nF -> U\nO -> H\nQ -> J\nV -> A\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C", "4": "A"}, "choices": {"A": "R", "B": "U", "C": "D", "D": "K"}, "depth": 4, "id": "test_d04_00067", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "H", "C": "F", "D": "R", "E": "K", "F": "W", "G": "R", "H": "A", "I": "N", "J": "B", "K": "U", "L": "V", "M": "D", "N": "G", "O": "F", "P": "K", "Q": "B", "R": "L", "S": "O", "T": "B", "U": "D", "V": "A", "W": "N", "X": "G"}, "n_symbols": 24, "orbit": ["E", "K", "U", "D", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> F\nG -> R\nX -> G\nH -> A\nW -> N\nR -> L\nM -> D\nP -> K\nT -> B\nU -> D\nO -> F\nK -> U\nS -> O\nA -> S\nL -> V\nE -> K\nV -> A\nF -> W\nI -> N\nB -> H\nN -> G\nD -> R\nJ -> B\nQ -> B\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "R"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A", "4": "C"}, "choices": {"A": "F", "B": "U", "C": "T", "D": "M"}, "depth": 4, "id": "test_d04_00068", "intermediate_chain_supervision": true, "mapping": {"A": "U", "B": "H", "C": "M", "D": "J", "E": "L", "F": "T", "G": "X", "H": "E", "I": "B", "J": "L", "K": "H", "L": "L", "M": "F", "N": "K", "O": "E", "P": "B", "Q": "K", "R": "E", "S": "G", "T": "S", "U": "M", "V": "O", "W": "U", "X": "A"}, "n_symbols": 24, "orbit": ["A", "U", "M", "F", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> E\nX -> A\nR -> E\nP -> B\nG -> X\nK -> H\nF -> T\nO -> E\nW -> U\nJ -> L\nE -> L\nD -> J\nU -> M\nV -> O\nI -> B\nB -> H\nC -> M\nT -> S\nS -> G\nA -> U\nQ -> K\nM -> F\nL -> L\nN -> K\n\nStart value: A\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "E", "B": "M", "C": "R", "D": "V"}, "depth": 4, "id": "test_d04_00069", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "P", "C": "J", "D": "N", "E": "V", "F": "I", "G": "I", "H": "B", "I": "E", "J": "F", "K": "K", "L": "M", "M": "R", "N": "S", "O": "A", "P": "I", "Q": "L", "R": "V", "S": "A", "T": "D", "U": "V", "V": "E", "W": "B", "X": "A"}, "n_symbols": 24, "orbit": ["L", "M", "R", "V", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> V\nI -> E\nW -> B\nA -> G\nE -> V\nR -> V\nC -> J\nT -> D\nQ -> L\nS -> A\nJ -> F\nB -> P\nO -> A\nM -> R\nF -> I\nH -> B\nP -> I\nK -> K\nX -> A\nV -> E\nL -> M\nD -> N\nG -> I\nN -> S\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "E"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "B", "4": "D"}, "choices": {"A": "T", "B": "G", "C": "U", "D": "C"}, "depth": 4, "id": "test_d04_00070", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "T", "C": "C", "D": "S", "E": "N", "F": "H", "G": "C", "H": "E", "I": "F", "J": "G", "K": "U", "L": "G", "M": "N", "N": "O", "O": "X", "P": "M", "Q": "O", "R": "M", "S": "M", "T": "G", "U": "T", "V": "F", "W": "Q", "X": "H"}, "n_symbols": 24, "orbit": ["K", "U", "T", "G", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> N\nO -> X\nL -> G\nS -> M\nN -> O\nU -> T\nX -> H\nT -> G\nW -> Q\nD -> S\nH -> E\nK -> U\nG -> C\nI -> F\nR -> M\nC -> C\nP -> M\nA -> N\nF -> H\nJ -> G\nB -> T\nV -> F\nM -> N\nQ -> O\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "C"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C", "4": "D"}, "choices": {"A": "T", "B": "W", "C": "X", "D": "D"}, "depth": 4, "id": "test_d04_00071", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "Q", "C": "Q", "D": "W", "E": "H", "F": "X", "G": "D", "H": "G", "I": "R", "J": "S", "K": "F", "L": "C", "M": "V", "N": "W", "O": "H", "P": "C", "Q": "T", "R": "D", "S": "P", "T": "W", "U": "V", "V": "R", "W": "X", "X": "D"}, "n_symbols": 24, "orbit": ["Q", "T", "W", "X", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> V\nJ -> S\nC -> Q\nV -> R\nR -> D\nB -> Q\nO -> H\nL -> C\nQ -> T\nH -> G\nD -> W\nG -> D\nS -> P\nP -> C\nX -> D\nA -> C\nW -> X\nN -> W\nE -> H\nU -> V\nF -> X\nI -> R\nK -> F\nT -> W\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "F", "B": "N", "C": "Q", "D": "A"}, "depth": 4, "id": "test_d04_00072", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "A", "C": "F", "D": "N", "E": "L", "F": "T", "G": "N", "H": "F", "I": "S", "J": "G", "K": "F", "L": "S", "M": "M", "N": "Q", "O": "R", "P": "B", "Q": "A", "R": "N", "S": "F", "T": "N", "U": "D", "V": "A", "W": "J", "X": "L"}, "n_symbols": 24, "orbit": ["T", "N", "Q", "A", "F"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> A\nP -> B\nM -> M\nX -> L\nJ -> G\nL -> S\nQ -> A\nN -> Q\nO -> R\nK -> F\nG -> N\nS -> F\nA -> F\nE -> L\nC -> F\nF -> T\nU -> D\nR -> N\nV -> A\nI -> S\nH -> F\nT -> N\nD -> N\nW -> J\n\nStart value: T\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "F"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D", "4": "C"}, "choices": {"A": "G", "B": "T", "C": "B", "D": "K"}, "depth": 4, "id": "test_d04_00073", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "S", "C": "I", "D": "R", "E": "H", "F": "N", "G": "K", "H": "J", "I": "U", "J": "U", "K": "B", "L": "W", "M": "P", "N": "L", "O": "I", "P": "A", "Q": "P", "R": "P", "S": "T", "T": "G", "U": "E", "V": "E", "W": "J", "X": "K"}, "n_symbols": 24, "orbit": ["S", "T", "G", "K", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> L\nX -> K\nP -> A\nU -> E\nW -> J\nI -> U\nT -> G\nR -> P\nB -> S\nA -> T\nL -> W\nF -> N\nV -> E\nQ -> P\nH -> J\nJ -> U\nK -> B\nE -> H\nD -> R\nS -> T\nM -> P\nG -> K\nC -> I\nO -> I\n\nStart value: S\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "B"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A", "4": "C"}, "choices": {"A": "L", "B": "T", "C": "E", "D": "S"}, "depth": 4, "id": "test_d04_00074", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "J", "C": "Q", "D": "T", "E": "P", "F": "A", "G": "N", "H": "S", "I": "O", "J": "X", "K": "M", "L": "E", "M": "U", "N": "G", "O": "C", "P": "I", "Q": "X", "R": "L", "S": "L", "T": "S", "U": "N", "V": "A", "W": "P", "X": "E"}, "n_symbols": 24, "orbit": ["D", "T", "S", "L", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> E\nN -> G\nF -> A\nT -> S\nB -> J\nH -> S\nI -> O\nR -> L\nJ -> X\nO -> C\nV -> A\nE -> P\nK -> M\nU -> N\nP -> I\nS -> L\nL -> E\nD -> T\nM -> U\nC -> Q\nQ -> X\nA -> H\nW -> P\nG -> N\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "E"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "B", "4": "C"}, "choices": {"A": "R", "B": "S", "C": "C", "D": "L"}, "depth": 4, "id": "test_d04_00075", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "J", "C": "D", "D": "A", "E": "R", "F": "N", "G": "R", "H": "W", "I": "P", "J": "N", "K": "O", "L": "R", "M": "M", "N": "M", "O": "U", "P": "A", "Q": "L", "R": "S", "S": "C", "T": "D", "U": "C", "V": "J", "W": "T", "X": "K"}, "n_symbols": 24, "orbit": ["Q", "L", "R", "S", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> C\nO -> U\nE -> R\nI -> P\nX -> K\nJ -> N\nN -> M\nV -> J\nS -> C\nT -> D\nC -> D\nL -> R\nP -> A\nB -> J\nH -> W\nR -> S\nF -> N\nW -> T\nA -> K\nG -> R\nQ -> L\nK -> O\nM -> M\nD -> A\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "C"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C", "4": "A"}, "choices": {"A": "X", "B": "S", "C": "A", "D": "V"}, "depth": 4, "id": "test_d04_00076", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "I", "C": "M", "D": "L", "E": "S", "F": "W", "G": "H", "H": "D", "I": "S", "J": "T", "K": "R", "L": "C", "M": "I", "N": "T", "O": "R", "P": "O", "Q": "H", "R": "E", "S": "A", "T": "V", "U": "M", "V": "S", "W": "E", "X": "R"}, "n_symbols": 24, "orbit": ["T", "V", "S", "A", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nW -> E\nB -> I\nR -> E\nV -> S\nP -> O\nL -> C\nK -> R\nN -> T\nE -> S\nG -> H\nD -> L\nH -> D\nC -> M\nI -> S\nU -> M\nO -> R\nA -> X\nX -> R\nF -> W\nJ -> T\nQ -> H\nM -> I\nT -> V\nS -> A\n\nStart value: T\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "T", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A", "4": "C"}, "choices": {"A": "F", "B": "D", "C": "L", "D": "C"}, "depth": 4, "id": "test_d04_00077", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "A", "C": "D", "D": "F", "E": "X", "F": "L", "G": "G", "H": "M", "I": "F", "J": "Q", "K": "H", "L": "L", "M": "G", "N": "N", "O": "U", "P": "O", "Q": "B", "R": "X", "S": "N", "T": "K", "U": "B", "V": "C", "W": "P", "X": "L"}, "n_symbols": 24, "orbit": ["V", "C", "D", "F", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> Q\nD -> F\nF -> L\nG -> G\nH -> M\nT -> K\nK -> H\nI -> F\nV -> C\nO -> U\nR -> X\nP -> O\nM -> G\nW -> P\nN -> N\nA -> Q\nX -> L\nU -> B\nB -> A\nS -> N\nC -> D\nE -> X\nL -> L\nQ -> B\n\nStart value: V\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "L"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C", "4": "A"}, "choices": {"A": "B", "B": "P", "C": "L", "D": "V"}, "depth": 4, "id": "test_d04_00078", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "D", "C": "B", "D": "P", "E": "B", "F": "O", "G": "J", "H": "V", "I": "V", "J": "N", "K": "N", "L": "B", "M": "P", "N": "O", "O": "D", "P": "V", "Q": "F", "R": "Q", "S": "A", "T": "R", "U": "C", "V": "L", "W": "H", "X": "J"}, "n_symbols": 24, "orbit": ["D", "P", "V", "L", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> V\nA -> C\nD -> P\nO -> D\nN -> O\nR -> Q\nX -> J\nG -> J\nP -> V\nE -> B\nC -> B\nB -> D\nQ -> F\nJ -> N\nK -> N\nV -> L\nW -> H\nT -> R\nU -> C\nS -> A\nL -> B\nM -> P\nI -> V\nF -> O\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "B"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C", "4": "A"}, "choices": {"A": "N", "B": "S", "C": "R", "D": "J"}, "depth": 4, "id": "test_d04_00079", "intermediate_chain_supervision": true, "mapping": {"A": "L", "B": "S", "C": "S", "D": "U", "E": "Q", "F": "H", "G": "A", "H": "P", "I": "W", "J": "R", "K": "V", "L": "L", "M": "O", "N": "W", "O": "B", "P": "E", "Q": "T", "R": "N", "S": "J", "T": "O", "U": "X", "V": "I", "W": "F", "X": "H"}, "n_symbols": 24, "orbit": ["C", "S", "J", "R", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> L\nX -> H\nI -> W\nE -> Q\nS -> J\nD -> U\nA -> L\nK -> V\nJ -> R\nM -> O\nV -> I\nP -> E\nW -> F\nT -> O\nG -> A\nH -> P\nR -> N\nQ -> T\nC -> S\nF -> H\nO -> B\nN -> W\nU -> X\nB -> S\n\nStart value: C\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "N"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "A", "4": "B"}, "choices": {"A": "R", "B": "U", "C": "O", "D": "L"}, "depth": 4, "id": "test_d04_00080", "intermediate_chain_supervision": true, "mapping": {"A": "I", "B": "V", "C": "O", "D": "M", "E": "D", "F": "M", "G": "J", "H": "E", "I": "J", "J": "B", "K": "S", "L": "R", "M": "N", "N": "Q", "O": "L", "P": "I", "Q": "G", "R": "U", "S": "T", "T": "J", "U": "J", "V": "N", "W": "G", "X": "G"}, "n_symbols": 24, "orbit": ["C", "O", "L", "R", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> G\nE -> D\nB -> V\nJ -> B\nO -> L\nT -> J\nF -> M\nU -> J\nC -> O\nS -> T\nD -> M\nR -> U\nI -> J\nM -> N\nL -> R\nP -> I\nA -> I\nW -> G\nK -> S\nG -> J\nH -> E\nN -> Q\nQ -> G\nV -> N\n\nStart value: C\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "C", "target": "U"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B", "4": "D"}, "choices": {"A": "Q", "B": "N", "C": "W", "D": "R"}, "depth": 4, "id": "test_d04_00081", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "O", "C": "M", "D": "X", "E": "R", "F": "T", "G": "X", "H": "O", "I": "M", "J": "F", "K": "E", "L": "S", "M": "N", "N": "R", "O": "T", "P": "R", "Q": "W", "R": "I", "S": "O", "T": "I", "U": "B", "V": "U", "W": "N", "X": "Q"}, "n_symbols": 24, "orbit": ["X", "Q", "W", "N", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> N\nB -> O\nF -> T\nK -> E\nW -> N\nE -> R\nI -> M\nG -> X\nS -> O\nX -> Q\nV -> U\nC -> M\nO -> T\nT -> I\nA -> E\nU -> B\nR -> I\nP -> R\nJ -> F\nN -> R\nL -> S\nH -> O\nQ -> W\nD -> X\n\nStart value: X\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "R"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C", "4": "A"}, "choices": {"A": "K", "B": "V", "C": "G", "D": "D"}, "depth": 4, "id": "test_d04_00082", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "L", "C": "I", "D": "G", "E": "W", "F": "O", "G": "K", "H": "X", "I": "F", "J": "L", "K": "P", "L": "I", "M": "U", "N": "N", "O": "G", "P": "K", "Q": "J", "R": "R", "S": "E", "T": "I", "U": "X", "V": "D", "W": "G", "X": "G"}, "n_symbols": 24, "orbit": ["A", "V", "D", "G", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> G\nA -> V\nQ -> J\nI -> F\nM -> U\nH -> X\nF -> O\nU -> X\nW -> G\nV -> D\nO -> G\nS -> E\nB -> L\nP -> K\nX -> G\nT -> I\nK -> P\nR -> R\nC -> I\nE -> W\nJ -> L\nL -> I\nG -> K\nN -> N\n\nStart value: A\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "K"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C", "4": "D"}, "choices": {"A": "K", "B": "D", "C": "S", "D": "I"}, "depth": 4, "id": "test_d04_00083", "intermediate_chain_supervision": true, "mapping": {"A": "T", "B": "T", "C": "Q", "D": "S", "E": "I", "F": "N", "G": "L", "H": "G", "I": "D", "J": "V", "K": "D", "L": "D", "M": "E", "N": "M", "O": "Q", "P": "O", "Q": "B", "R": "I", "S": "I", "T": "X", "U": "K", "V": "K", "W": "J", "X": "A"}, "n_symbols": 24, "orbit": ["V", "K", "D", "S", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nB -> T\nF -> N\nO -> Q\nQ -> B\nN -> M\nR -> I\nM -> E\nP -> O\nL -> D\nV -> K\nE -> I\nW -> J\nK -> D\nS -> I\nC -> Q\nT -> X\nX -> A\nD -> S\nG -> L\nH -> G\nA -> T\nU -> K\nI -> D\nJ -> V\n\nStart value: V\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "X", "B": "R", "C": "O", "D": "P"}, "depth": 4, "id": "test_d04_00084", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "O", "C": "P", "D": "C", "E": "A", "F": "G", "G": "C", "H": "C", "I": "W", "J": "R", "K": "J", "L": "G", "M": "A", "N": "K", "O": "P", "P": "L", "Q": "Q", "R": "X", "S": "M", "T": "J", "U": "P", "V": "M", "W": "J", "X": "O"}, "n_symbols": 24, "orbit": ["J", "R", "X", "O", "P"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> X\nK -> J\nL -> G\nC -> P\nS -> M\nF -> G\nN -> K\nP -> L\nH -> C\nD -> C\nG -> C\nV -> M\nW -> J\nO -> P\nT -> J\nA -> M\nE -> A\nU -> P\nQ -> Q\nB -> O\nJ -> R\nI -> W\nM -> A\nX -> O\n\nStart value: J\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "J", "target": "P"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "A", "3": "C", "4": "B"}, "choices": {"A": "U", "B": "T", "C": "J", "D": "K"}, "depth": 4, "id": "test_d04_00085", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "F", "C": "C", "D": "D", "E": "S", "F": "N", "G": "E", "H": "S", "I": "K", "J": "T", "K": "U", "L": "J", "M": "W", "N": "S", "O": "F", "P": "K", "Q": "O", "R": "U", "S": "S", "T": "V", "U": "J", "V": "N", "W": "Q", "X": "M"}, "n_symbols": 24, "orbit": ["I", "K", "U", "J", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> F\nG -> E\nP -> K\nJ -> T\nX -> M\nV -> N\nM -> W\nW -> Q\nB -> F\nE -> S\nA -> R\nS -> S\nT -> V\nN -> S\nK -> U\nH -> S\nF -> N\nL -> J\nI -> K\nR -> U\nQ -> O\nC -> C\nD -> D\nU -> J\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "H", "B": "J", "C": "B", "D": "K"}, "depth": 4, "id": "test_d04_00086", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "N", "C": "A", "D": "A", "E": "M", "F": "T", "G": "D", "H": "K", "I": "H", "J": "B", "K": "J", "L": "J", "M": "R", "N": "C", "O": "V", "P": "N", "Q": "Q", "R": "L", "S": "R", "T": "L", "U": "E", "V": "B", "W": "Q", "X": "K"}, "n_symbols": 24, "orbit": ["I", "H", "K", "J", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> L\nG -> D\nD -> A\nP -> N\nI -> H\nT -> L\nS -> R\nA -> X\nO -> V\nX -> K\nE -> M\nK -> J\nV -> B\nL -> J\nC -> A\nF -> T\nU -> E\nQ -> Q\nJ -> B\nB -> N\nW -> Q\nM -> R\nN -> C\nH -> K\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "B"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D", "4": "A"}, "choices": {"A": "X", "B": "U", "C": "V", "D": "B"}, "depth": 4, "id": "test_d04_00087", "intermediate_chain_supervision": true, "mapping": {"A": "J", "B": "X", "C": "K", "D": "V", "E": "F", "F": "R", "G": "U", "H": "G", "I": "T", "J": "K", "K": "A", "L": "U", "M": "T", "N": "D", "O": "N", "P": "J", "Q": "H", "R": "D", "S": "S", "T": "D", "U": "B", "V": "U", "W": "H", "X": "Q"}, "n_symbols": 24, "orbit": ["D", "V", "U", "B", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> F\nK -> A\nB -> X\nR -> D\nI -> T\nG -> U\nM -> T\nW -> H\nD -> V\nN -> D\nT -> D\nC -> K\nA -> J\nL -> U\nQ -> H\nX -> Q\nF -> R\nP -> J\nO -> N\nJ -> K\nH -> G\nS -> S\nU -> B\nV -> U\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "X"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "N", "B": "D", "C": "O", "D": "F"}, "depth": 4, "id": "test_d04_00088", "intermediate_chain_supervision": true, "mapping": {"A": "F", "B": "M", "C": "N", "D": "O", "E": "Q", "F": "N", "G": "D", "H": "O", "I": "S", "J": "X", "K": "W", "L": "A", "M": "H", "N": "Q", "O": "F", "P": "C", "Q": "V", "R": "L", "S": "V", "T": "M", "U": "V", "V": "T", "W": "T", "X": "I"}, "n_symbols": 24, "orbit": ["G", "D", "O", "F", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> N\nW -> T\nA -> F\nU -> V\nL -> A\nK -> W\nB -> M\nM -> H\nS -> V\nN -> Q\nR -> L\nT -> M\nV -> T\nI -> S\nQ -> V\nH -> O\nE -> Q\nO -> F\nD -> O\nG -> D\nC -> N\nP -> C\nX -> I\nJ -> X\n\nStart value: G\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C", "4": "A"}, "choices": {"A": "B", "B": "M", "C": "O", "D": "P"}, "depth": 4, "id": "test_d04_00089", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "N", "C": "T", "D": "G", "E": "M", "F": "G", "G": "P", "H": "T", "I": "P", "J": "K", "K": "K", "L": "V", "M": "O", "N": "W", "O": "B", "P": "M", "Q": "O", "R": "P", "S": "S", "T": "K", "U": "T", "V": "G", "W": "E", "X": "K"}, "n_symbols": 24, "orbit": ["I", "P", "M", "O", "B"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> G\nP -> M\nJ -> K\nT -> K\nO -> B\nX -> K\nS -> S\nN -> W\nG -> P\nD -> G\nL -> V\nW -> E\nC -> T\nE -> M\nA -> M\nB -> N\nQ -> O\nK -> K\nM -> O\nU -> T\nH -> T\nV -> G\nI -> P\nR -> P\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "B"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "O", "B": "P", "C": "T", "D": "Q"}, "depth": 4, "id": "test_d04_00090", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "Q", "C": "V", "D": "H", "E": "B", "F": "H", "G": "Q", "H": "O", "I": "P", "J": "F", "K": "G", "L": "T", "M": "S", "N": "I", "O": "Q", "P": "T", "Q": "P", "R": "I", "S": "A", "T": "P", "U": "H", "V": "S", "W": "W", "X": "W"}, "n_symbols": 24, "orbit": ["H", "O", "Q", "P", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nQ -> P\nF -> H\nM -> S\nP -> T\nJ -> F\nR -> I\nC -> V\nS -> A\nH -> O\nK -> G\nI -> P\nT -> P\nA -> R\nX -> W\nW -> W\nG -> Q\nD -> H\nB -> Q\nU -> H\nN -> I\nO -> Q\nE -> B\nV -> S\nL -> T\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "T"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C", "4": "A"}, "choices": {"A": "O", "B": "D", "C": "Q", "D": "N"}, "depth": 4, "id": "test_d04_00091", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "X", "C": "B", "D": "Q", "E": "X", "F": "I", "G": "E", "H": "A", "I": "E", "J": "R", "K": "C", "L": "T", "M": "S", "N": "D", "O": "P", "P": "A", "Q": "O", "R": "W", "S": "J", "T": "K", "U": "U", "V": "A", "W": "Q", "X": "V"}, "n_symbols": 24, "orbit": ["A", "N", "D", "Q", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nM -> S\nB -> X\nQ -> O\nV -> A\nR -> W\nX -> V\nK -> C\nF -> I\nJ -> R\nN -> D\nE -> X\nC -> B\nA -> N\nU -> U\nT -> K\nG -> E\nD -> Q\nP -> A\nO -> P\nS -> J\nW -> Q\nH -> A\nL -> T\nI -> E\n\nStart value: A\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "A", "target": "O"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "D", "4": "A"}, "choices": {"A": "H", "B": "P", "C": "C", "D": "O"}, "depth": 4, "id": "test_d04_00092", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "W", "C": "P", "D": "V", "E": "J", "F": "N", "G": "M", "H": "E", "I": "G", "J": "B", "K": "Q", "L": "C", "M": "B", "N": "S", "O": "H", "P": "O", "Q": "J", "R": "O", "S": "W", "T": "F", "U": "U", "V": "Q", "W": "P", "X": "G"}, "n_symbols": 24, "orbit": ["L", "C", "P", "O", "H"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> O\nI -> G\nE -> J\nT -> F\nK -> Q\nS -> W\nP -> O\nH -> E\nV -> Q\nM -> B\nG -> M\nF -> N\nX -> G\nN -> S\nU -> U\nW -> P\nJ -> B\nD -> V\nC -> P\nL -> C\nB -> W\nO -> H\nQ -> J\nA -> H\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "H"}
{"answer": "D", "chain_answer_by_loop": {"1": "C", "2": "B", "3": "A", "4": "D"}, "choices": {"A": "M", "B": "B", "C": "I", "D": "W"}, "depth": 4, "id": "test_d04_00093", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "M", "C": "S", "D": "A", "E": "S", "F": "C", "G": "C", "H": "O", "I": "B", "J": "G", "K": "I", "L": "N", "M": "W", "N": "U", "O": "W", "P": "C", "Q": "V", "R": "Q", "S": "J", "T": "E", "U": "N", "V": "K", "W": "M", "X": "N"}, "n_symbols": 24, "orbit": ["K", "I", "B", "M", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> S\nD -> A\nB -> M\nL -> N\nJ -> G\nR -> Q\nC -> S\nW -> M\nM -> W\nS -> J\nA -> P\nQ -> V\nP -> C\nU -> N\nT -> E\nH -> O\nG -> C\nX -> N\nK -> I\nI -> B\nV -> K\nF -> C\nO -> W\nN -> U\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "W"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "X", "B": "P", "C": "L", "D": "C"}, "depth": 4, "id": "test_d04_00094", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "V", "C": "U", "D": "P", "E": "J", "F": "A", "G": "D", "H": "E", "I": "H", "J": "A", "K": "W", "L": "C", "M": "H", "N": "U", "O": "F", "P": "X", "Q": "L", "R": "N", "S": "F", "T": "O", "U": "R", "V": "A", "W": "W", "X": "L"}, "n_symbols": 24, "orbit": ["D", "P", "X", "L", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nK -> W\nU -> R\nO -> F\nX -> L\nF -> A\nD -> P\nB -> V\nE -> J\nG -> D\nS -> F\nP -> X\nA -> X\nH -> E\nM -> H\nQ -> L\nV -> A\nR -> N\nC -> U\nT -> O\nL -> C\nJ -> A\nI -> H\nN -> U\nW -> W\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D", "4": "B"}, "choices": {"A": "C", "B": "T", "C": "J", "D": "I"}, "depth": 4, "id": "test_d04_00095", "intermediate_chain_supervision": true, "mapping": {"A": "E", "B": "T", "C": "I", "D": "Q", "E": "A", "F": "R", "G": "F", "H": "N", "I": "T", "J": "C", "K": "G", "L": "C", "M": "I", "N": "O", "O": "J", "P": "G", "Q": "J", "R": "F", "S": "J", "T": "R", "U": "W", "V": "M", "W": "F", "X": "C"}, "n_symbols": 24, "orbit": ["S", "J", "C", "I", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nF -> R\nG -> F\nW -> F\nQ -> J\nU -> W\nA -> E\nI -> T\nH -> N\nB -> T\nN -> O\nP -> G\nK -> G\nS -> J\nJ -> C\nO -> J\nM -> I\nR -> F\nD -> Q\nE -> A\nT -> R\nX -> C\nC -> I\nL -> C\nV -> M\n\nStart value: S\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "T"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "J", "B": "T", "C": "X", "D": "P"}, "depth": 4, "id": "test_d04_00096", "intermediate_chain_supervision": true, "mapping": {"A": "X", "B": "M", "C": "N", "D": "M", "E": "F", "F": "W", "G": "Q", "H": "W", "I": "X", "J": "T", "K": "F", "L": "E", "M": "O", "N": "A", "O": "G", "P": "X", "Q": "W", "R": "H", "S": "G", "T": "P", "U": "I", "V": "N", "W": "J", "X": "O"}, "n_symbols": 24, "orbit": ["W", "J", "T", "P", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> X\nS -> G\nU -> I\nT -> P\nM -> O\nF -> W\nE -> F\nQ -> W\nW -> J\nK -> F\nG -> Q\nA -> X\nI -> X\nH -> W\nN -> A\nR -> H\nX -> O\nO -> G\nB -> M\nV -> N\nJ -> T\nD -> M\nL -> E\nC -> N\n\nStart value: W\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "W", "target": "X"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D", "4": "C"}, "choices": {"A": "P", "B": "C", "C": "A", "D": "T"}, "depth": 4, "id": "test_d04_00097", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "S", "C": "P", "D": "D", "E": "B", "F": "J", "G": "G", "H": "J", "I": "N", "J": "Q", "K": "V", "L": "C", "M": "E", "N": "H", "O": "B", "P": "T", "Q": "J", "R": "K", "S": "D", "T": "A", "U": "R", "V": "C", "W": "L", "X": "K"}, "n_symbols": 24, "orbit": ["L", "C", "P", "T", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> J\nP -> T\nL -> C\nT -> A\nQ -> J\nX -> K\nR -> K\nK -> V\nO -> B\nM -> E\nW -> L\nG -> G\nA -> H\nB -> S\nC -> P\nI -> N\nE -> B\nD -> D\nJ -> Q\nU -> R\nN -> H\nF -> J\nV -> C\nS -> D\n\nStart value: L\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "L", "target": "A"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A", "4": "C"}, "choices": {"A": "N", "B": "O", "C": "E", "D": "F"}, "depth": 4, "id": "test_d04_00098", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "R", "C": "A", "D": "U", "E": "I", "F": "O", "G": "V", "H": "Q", "I": "X", "J": "F", "K": "Q", "L": "A", "M": "W", "N": "E", "O": "N", "P": "N", "Q": "C", "R": "F", "S": "A", "T": "C", "U": "U", "V": "H", "W": "S", "X": "W"}, "n_symbols": 24, "orbit": ["R", "F", "O", "N", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> A\nL -> A\nD -> U\nE -> I\nR -> F\nG -> V\nN -> E\nM -> W\nB -> R\nV -> H\nO -> N\nI -> X\nK -> Q\nA -> K\nW -> S\nP -> N\nC -> A\nH -> Q\nJ -> F\nT -> C\nX -> W\nU -> U\nQ -> C\nF -> O\n\nStart value: R\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "R", "target": "E"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "R", "B": "F", "C": "A", "D": "M"}, "depth": 4, "id": "test_d04_00099", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "H", "C": "C", "D": "J", "E": "V", "F": "A", "G": "H", "H": "U", "I": "V", "J": "P", "K": "U", "L": "H", "M": "S", "N": "N", "O": "H", "P": "M", "Q": "I", "R": "M", "S": "K", "T": "Q", "U": "C", "V": "F", "W": "J", "X": "W"}, "n_symbols": 24, "orbit": ["V", "F", "A", "R", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> C\nK -> U\nE -> V\nH -> U\nC -> C\nP -> M\nW -> J\nV -> F\nF -> A\nG -> H\nR -> M\nQ -> I\nT -> Q\nA -> R\nM -> S\nL -> H\nJ -> P\nO -> H\nB -> H\nI -> V\nD -> J\nS -> K\nX -> W\nN -> N\n\nStart value: V\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "V", "target": "M"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "U", "B": "D", "C": "T", "D": "W"}, "depth": 4, "id": "test_d04_00100", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "O", "C": "V", "D": "T", "E": "N", "F": "L", "G": "C", "H": "C", "I": "D", "J": "V", "K": "B", "L": "U", "M": "Q", "N": "I", "O": "G", "P": "V", "Q": "X", "R": "D", "S": "P", "T": "W", "U": "F", "V": "R", "W": "U", "X": "S"}, "n_symbols": 24, "orbit": ["I", "D", "T", "W", "U"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nS -> P\nM -> Q\nB -> O\nN -> I\nJ -> V\nC -> V\nL -> U\nT -> W\nI -> D\nK -> B\nA -> B\nU -> F\nG -> C\nO -> G\nW -> U\nP -> V\nQ -> X\nH -> C\nX -> S\nE -> N\nD -> T\nF -> L\nR -> D\nV -> R\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "U"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "J", "B": "S", "C": "K", "D": "X"}, "depth": 4, "id": "test_d04_00101", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "U", "C": "S", "D": "P", "E": "Q", "F": "U", "G": "I", "H": "C", "I": "K", "J": "X", "K": "E", "L": "W", "M": "I", "N": "V", "O": "F", "P": "J", "Q": "R", "R": "Q", "S": "K", "T": "G", "U": "X", "V": "D", "W": "A", "X": "S"}, "n_symbols": 24, "orbit": ["P", "J", "X", "S", "K"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> C\nP -> J\nV -> D\nR -> Q\nG -> I\nO -> F\nX -> S\nT -> G\nC -> S\nI -> K\nM -> I\nF -> U\nA -> N\nD -> P\nJ -> X\nQ -> R\nN -> V\nU -> X\nW -> A\nB -> U\nE -> Q\nK -> E\nL -> W\nS -> K\n\nStart value: P\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "K"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "D", "B": "A", "C": "B", "D": "X"}, "depth": 4, "id": "test_d04_00102", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "X", "C": "H", "D": "B", "E": "R", "F": "T", "G": "I", "H": "A", "I": "N", "J": "U", "K": "Q", "L": "G", "M": "X", "N": "H", "O": "H", "P": "B", "Q": "K", "R": "Q", "S": "W", "T": "M", "U": "F", "V": "T", "W": "U", "X": "E"}, "n_symbols": 24, "orbit": ["H", "A", "D", "B", "X"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> N\nN -> H\nO -> H\nB -> X\nD -> B\nK -> Q\nV -> T\nL -> G\nF -> T\nA -> D\nP -> B\nJ -> U\nR -> Q\nM -> X\nS -> W\nE -> R\nH -> A\nT -> M\nU -> F\nC -> H\nX -> E\nQ -> K\nG -> I\nW -> U\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "X"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "L", "B": "E", "C": "I", "D": "N"}, "depth": 4, "id": "test_d04_00103", "intermediate_chain_supervision": true, "mapping": {"A": "K", "B": "V", "C": "D", "D": "S", "E": "I", "F": "P", "G": "O", "H": "F", "I": "N", "J": "I", "K": "J", "L": "M", "M": "L", "N": "L", "O": "Q", "P": "D", "Q": "R", "R": "G", "S": "E", "T": "W", "U": "P", "V": "B", "W": "I", "X": "E"}, "n_symbols": 24, "orbit": ["S", "E", "I", "N", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> Q\nX -> E\nF -> P\nT -> W\nU -> P\nW -> I\nM -> L\nB -> V\nP -> D\nR -> G\nV -> B\nC -> D\nD -> S\nA -> K\nE -> I\nG -> O\nN -> L\nH -> F\nJ -> I\nQ -> R\nL -> M\nI -> N\nS -> E\nK -> J\n\nStart value: S\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "S", "target": "L"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A", "4": "B"}, "choices": {"A": "D", "B": "E", "C": "S", "D": "H"}, "depth": 4, "id": "test_d04_00104", "intermediate_chain_supervision": true, "mapping": {"A": "G", "B": "K", "C": "B", "D": "E", "E": "X", "F": "K", "G": "S", "H": "S", "I": "V", "J": "P", "K": "F", "L": "Q", "M": "A", "N": "L", "O": "T", "P": "W", "Q": "B", "R": "A", "S": "D", "T": "X", "U": "H", "V": "M", "W": "U", "X": "U"}, "n_symbols": 24, "orbit": ["U", "H", "S", "D", "E"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> W\nT -> X\nR -> A\nQ -> B\nO -> T\nF -> K\nK -> F\nW -> U\nH -> S\nI -> V\nV -> M\nS -> D\nC -> B\nM -> A\nL -> Q\nA -> G\nN -> L\nB -> K\nX -> U\nG -> S\nJ -> P\nE -> X\nU -> H\nD -> E\n\nStart value: U\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "U", "target": "E"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D", "4": "B"}, "choices": {"A": "R", "B": "W", "C": "B", "D": "A"}, "depth": 4, "id": "test_d04_00105", "intermediate_chain_supervision": true, "mapping": {"A": "W", "B": "R", "C": "U", "D": "N", "E": "O", "F": "U", "G": "M", "H": "I", "I": "T", "J": "U", "K": "U", "L": "M", "M": "O", "N": "N", "O": "B", "P": "I", "Q": "L", "R": "A", "S": "Q", "T": "O", "U": "F", "V": "V", "W": "X", "X": "G"}, "n_symbols": 24, "orbit": ["O", "B", "R", "A", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nO -> B\nB -> R\nT -> O\nN -> N\nF -> U\nA -> W\nQ -> L\nE -> O\nJ -> U\nS -> Q\nH -> I\nV -> V\nP -> I\nR -> A\nG -> M\nM -> O\nX -> G\nK -> U\nL -> M\nC -> U\nD -> N\nW -> X\nI -> T\nU -> F\n\nStart value: O\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "O", "target": "W"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "J", "B": "L", "C": "D", "D": "E"}, "depth": 4, "id": "test_d04_00106", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "V", "C": "E", "D": "L", "E": "D", "F": "X", "G": "P", "H": "O", "I": "A", "J": "L", "K": "U", "L": "E", "M": "R", "N": "A", "O": "J", "P": "X", "Q": "J", "R": "B", "S": "O", "T": "L", "U": "C", "V": "N", "W": "B", "X": "O"}, "n_symbols": 24, "orbit": ["Q", "J", "L", "E", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> O\nL -> E\nQ -> J\nV -> N\nG -> P\nT -> L\nJ -> L\nA -> D\nU -> C\nC -> E\nN -> A\nF -> X\nE -> D\nI -> A\nK -> U\nW -> B\nM -> R\nP -> X\nS -> O\nR -> B\nB -> V\nX -> O\nO -> J\nD -> L\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "W", "B": "O", "C": "U", "D": "I"}, "depth": 4, "id": "test_d04_00107", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "B", "C": "G", "D": "G", "E": "A", "F": "W", "G": "K", "H": "F", "I": "W", "J": "U", "K": "J", "L": "N", "M": "I", "N": "P", "O": "U", "P": "K", "Q": "X", "R": "A", "S": "E", "T": "T", "U": "I", "V": "E", "W": "N", "X": "O"}, "n_symbols": 24, "orbit": ["X", "O", "U", "I", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> U\nQ -> X\nP -> K\nU -> I\nO -> U\nB -> B\nT -> T\nE -> A\nV -> E\nK -> J\nD -> G\nX -> O\nF -> W\nC -> G\nH -> F\nG -> K\nR -> A\nN -> P\nI -> W\nA -> B\nS -> E\nM -> I\nW -> N\nL -> N\n\nStart value: X\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "W"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "A", "4": "C"}, "choices": {"A": "F", "B": "W", "C": "S", "D": "H"}, "depth": 4, "id": "test_d04_00108", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "D", "C": "K", "D": "D", "E": "N", "F": "S", "G": "L", "H": "F", "I": "K", "J": "W", "K": "W", "L": "E", "M": "I", "N": "J", "O": "F", "P": "M", "Q": "Q", "R": "P", "S": "D", "T": "W", "U": "A", "V": "L", "W": "H", "X": "O"}, "n_symbols": 24, "orbit": ["K", "W", "H", "F", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nX -> O\nH -> F\nV -> L\nI -> K\nM -> I\nB -> D\nG -> L\nS -> D\nJ -> W\nE -> N\nT -> W\nC -> K\nW -> H\nQ -> Q\nL -> E\nR -> P\nU -> A\nF -> S\nD -> D\nK -> W\nA -> H\nP -> M\nO -> F\nN -> J\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "S"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "F", "B": "P", "C": "N", "D": "B"}, "depth": 4, "id": "test_d04_00109", "intermediate_chain_supervision": true, "mapping": {"A": "R", "B": "P", "C": "X", "D": "S", "E": "N", "F": "B", "G": "W", "H": "F", "I": "E", "J": "B", "K": "T", "L": "N", "M": "V", "N": "M", "O": "M", "P": "N", "Q": "E", "R": "I", "S": "J", "T": "A", "U": "H", "V": "K", "W": "N", "X": "S"}, "n_symbols": 24, "orbit": ["H", "F", "B", "P", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> M\nS -> J\nB -> P\nD -> S\nE -> N\nO -> M\nT -> A\nG -> W\nW -> N\nJ -> B\nC -> X\nX -> S\nK -> T\nV -> K\nI -> E\nA -> R\nU -> H\nQ -> E\nL -> N\nR -> I\nP -> N\nH -> F\nF -> B\nM -> V\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "N"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "C", "4": "A"}, "choices": {"A": "I", "B": "W", "C": "T", "D": "V"}, "depth": 4, "id": "test_d04_00110", "intermediate_chain_supervision": true, "mapping": {"A": "P", "B": "A", "C": "D", "D": "H", "E": "B", "F": "F", "G": "P", "H": "X", "I": "G", "J": "V", "K": "M", "L": "S", "M": "N", "N": "F", "O": "A", "P": "V", "Q": "O", "R": "G", "S": "V", "T": "I", "U": "C", "V": "W", "W": "T", "X": "D"}, "n_symbols": 24, "orbit": ["P", "V", "W", "T", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nI -> G\nG -> P\nL -> S\nA -> P\nB -> A\nO -> A\nS -> V\nW -> T\nM -> N\nX -> D\nH -> X\nQ -> O\nE -> B\nF -> F\nC -> D\nT -> I\nP -> V\nD -> H\nV -> W\nJ -> V\nR -> G\nK -> M\nN -> F\nU -> C\n\nStart value: P\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "I"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "D", "3": "C", "4": "A"}, "choices": {"A": "N", "B": "A", "C": "S", "D": "M"}, "depth": 4, "id": "test_d04_00111", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "R", "C": "W", "D": "I", "E": "N", "F": "P", "G": "A", "H": "X", "I": "K", "J": "J", "K": "G", "L": "C", "M": "S", "N": "F", "O": "K", "P": "C", "Q": "P", "R": "W", "S": "N", "T": "M", "U": "H", "V": "B", "W": "H", "X": "E"}, "n_symbols": 24, "orbit": ["G", "A", "M", "S", "N"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nH -> X\nF -> P\nJ -> J\nK -> G\nM -> S\nD -> I\nC -> W\nA -> M\nX -> E\nI -> K\nQ -> P\nB -> R\nN -> F\nE -> N\nU -> H\nR -> W\nG -> A\nO -> K\nS -> N\nW -> H\nT -> M\nV -> B\nP -> C\nL -> C\n\nStart value: G\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "G", "target": "N"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "E", "B": "R", "C": "O", "D": "I"}, "depth": 4, "id": "test_d04_00112", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "E", "C": "N", "D": "O", "E": "I", "F": "C", "G": "P", "H": "M", "I": "U", "J": "X", "K": "M", "L": "Q", "M": "M", "N": "S", "O": "E", "P": "R", "Q": "M", "R": "O", "S": "B", "T": "E", "U": "N", "V": "I", "W": "I", "X": "J"}, "n_symbols": 24, "orbit": ["P", "R", "O", "E", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> Q\nV -> I\nE -> I\nG -> P\nK -> M\nI -> U\nP -> R\nC -> N\nT -> E\nJ -> X\nF -> C\nR -> O\nH -> M\nN -> S\nW -> I\nQ -> M\nU -> N\nS -> B\nM -> M\nB -> E\nA -> C\nO -> E\nX -> J\nD -> O\n\nStart value: P\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "C", "3": "B", "4": "D"}, "choices": {"A": "H", "B": "V", "C": "J", "D": "I"}, "depth": 4, "id": "test_d04_00113", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "P", "C": "M", "D": "N", "E": "R", "F": "U", "G": "J", "H": "J", "I": "G", "J": "V", "K": "V", "L": "B", "M": "F", "N": "Q", "O": "M", "P": "X", "Q": "H", "R": "A", "S": "G", "T": "B", "U": "H", "V": "I", "W": "I", "X": "A"}, "n_symbols": 24, "orbit": ["Q", "H", "J", "V", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nD -> N\nI -> G\nT -> B\nJ -> V\nG -> J\nF -> U\nO -> M\nB -> P\nA -> M\nM -> F\nU -> H\nV -> I\nQ -> H\nC -> M\nR -> A\nE -> R\nL -> B\nX -> A\nS -> G\nK -> V\nH -> J\nW -> I\nP -> X\nN -> Q\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "I"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "A", "4": "D"}, "choices": {"A": "G", "B": "L", "C": "M", "D": "O"}, "depth": 4, "id": "test_d04_00114", "intermediate_chain_supervision": true, "mapping": {"A": "V", "B": "J", "C": "C", "D": "B", "E": "H", "F": "D", "G": "O", "H": "T", "I": "M", "J": "D", "K": "H", "L": "M", "M": "G", "N": "H", "O": "H", "P": "L", "Q": "E", "R": "S", "S": "D", "T": "R", "U": "N", "V": "F", "W": "V", "X": "N"}, "n_symbols": 24, "orbit": ["P", "L", "M", "G", "O"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> D\nB -> J\nX -> N\nO -> H\nE -> H\nA -> V\nS -> D\nW -> V\nF -> D\nN -> H\nC -> C\nI -> M\nD -> B\nV -> F\nG -> O\nP -> L\nL -> M\nR -> S\nM -> G\nK -> H\nQ -> E\nT -> R\nH -> T\nU -> N\n\nStart value: P\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "P", "target": "O"}
{"answer": "C", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "D", "4": "C"}, "choices": {"A": "L", "B": "M", "C": "A", "D": "C"}, "depth": 4, "id": "test_d04_00115", "intermediate_chain_supervision": true, "mapping": {"A": "B", "B": "A", "C": "A", "D": "G", "E": "H", "F": "L", "G": "N", "H": "R", "I": "M", "J": "H", "K": "U", "L": "C", "M": "L", "N": "A", "O": "Q", "P": "N", "Q": "J", "R": "F", "S": "M", "T": "X", "U": "X", "V": "P", "W": "B", "X": "N"}, "n_symbols": 24, "orbit": ["I", "M", "L", "C", "A"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> F\nI -> M\nT -> X\nL -> C\nP -> N\nA -> B\nH -> R\nQ -> J\nV -> P\nG -> N\nE -> H\nS -> M\nD -> G\nN -> A\nF -> L\nU -> X\nC -> A\nJ -> H\nK -> U\nM -> L\nX -> N\nW -> B\nB -> A\nO -> Q\n\nStart value: I\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "I", "target": "A"}
{"answer": "A", "chain_answer_by_loop": {"1": "C", "2": "D", "3": "B", "4": "A"}, "choices": {"A": "T", "B": "X", "C": "N", "D": "J"}, "depth": 4, "id": "test_d04_00116", "intermediate_chain_supervision": true, "mapping": {"A": "N", "B": "L", "C": "I", "D": "T", "E": "B", "F": "J", "G": "J", "H": "N", "I": "G", "J": "X", "K": "N", "L": "E", "M": "I", "N": "J", "O": "P", "P": "B", "Q": "H", "R": "U", "S": "N", "T": "G", "U": "B", "V": "F", "W": "K", "X": "T"}, "n_symbols": 24, "orbit": ["K", "N", "J", "X", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nR -> U\nM -> I\nP -> B\nJ -> X\nV -> F\nB -> L\nD -> T\nQ -> H\nW -> K\nC -> I\nH -> N\nT -> G\nO -> P\nF -> J\nK -> N\nU -> B\nL -> E\nG -> J\nN -> J\nI -> G\nE -> B\nA -> N\nX -> T\nS -> N\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "T"}
{"answer": "D", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "C", "4": "D"}, "choices": {"A": "J", "B": "M", "C": "C", "D": "I"}, "depth": 4, "id": "test_d04_00117", "intermediate_chain_supervision": true, "mapping": {"A": "A", "B": "I", "C": "I", "D": "Q", "E": "F", "F": "X", "G": "O", "H": "Q", "I": "F", "J": "M", "K": "J", "L": "N", "M": "C", "N": "A", "O": "A", "P": "D", "Q": "D", "R": "K", "S": "P", "T": "V", "U": "T", "V": "R", "W": "H", "X": "F"}, "n_symbols": 24, "orbit": ["K", "J", "M", "C", "I"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> N\nG -> O\nD -> Q\nK -> J\nV -> R\nC -> I\nT -> V\nB -> I\nH -> Q\nS -> P\nM -> C\nJ -> M\nQ -> D\nR -> K\nU -> T\nA -> A\nN -> A\nX -> F\nI -> F\nW -> H\nF -> X\nP -> D\nE -> F\nO -> A\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "I"}
{"answer": "C", "chain_answer_by_loop": {"1": "D", "2": "B", "3": "A", "4": "C"}, "choices": {"A": "V", "B": "Q", "C": "C", "D": "P"}, "depth": 4, "id": "test_d04_00118", "intermediate_chain_supervision": true, "mapping": {"A": "H", "B": "E", "C": "P", "D": "C", "E": "O", "F": "Q", "G": "J", "H": "Q", "I": "R", "J": "T", "K": "C", "L": "C", "M": "B", "N": "P", "O": "M", "P": "Q", "Q": "V", "R": "L", "S": "T", "T": "F", "U": "T", "V": "C", "W": "Q", "X": "V"}, "n_symbols": 24, "orbit": ["N", "P", "Q", "V", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nA -> H\nW -> Q\nN -> P\nU -> T\nO -> M\nP -> Q\nD -> C\nE -> O\nB -> E\nF -> Q\nT -> F\nM -> B\nX -> V\nG -> J\nL -> C\nR -> L\nH -> Q\nS -> T\nK -> C\nI -> R\nQ -> V\nJ -> T\nC -> P\nV -> C\n\nStart value: N\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "C"}
{"answer": "A", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "B", "4": "A"}, "choices": {"A": "T", "B": "D", "C": "Q", "D": "L"}, "depth": 4, "id": "test_d04_00119", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "P", "C": "S", "D": "T", "E": "U", "F": "X", "G": "P", "H": "Q", "I": "Q", "J": "X", "K": "G", "L": "Q", "M": "P", "N": "D", "O": "M", "P": "E", "Q": "D", "R": "C", "S": "H", "T": "K", "U": "E", "V": "U", "W": "P", "X": "L"}, "n_symbols": 24, "orbit": ["X", "L", "Q", "D", "T"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nG -> P\nO -> M\nD -> T\nF -> X\nH -> Q\nW -> P\nC -> S\nE -> U\nS -> H\nN -> D\nQ -> D\nX -> L\nT -> K\nR -> C\nP -> E\nJ -> X\nI -> Q\nL -> Q\nA -> Q\nM -> P\nU -> E\nB -> P\nV -> U\nK -> G\n\nStart value: X\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "X", "target": "T"}
{"answer": "D", "chain_answer_by_loop": {"1": "B", "2": "A", "3": "C", "4": "D"}, "choices": {"A": "K", "B": "P", "C": "W", "D": "R"}, "depth": 4, "id": "test_d04_00120", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "J", "C": "P", "D": "F", "E": "W", "F": "W", "G": "P", "H": "P", "I": "V", "J": "X", "K": "W", "L": "B", "M": "H", "N": "V", "O": "K", "P": "K", "Q": "Q", "R": "L", "S": "C", "T": "S", "U": "Q", "V": "N", "W": "R", "X": "L"}, "n_symbols": 24, "orbit": ["H", "P", "K", "W", "R"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> B\nE -> W\nP -> K\nK -> W\nN -> V\nA -> S\nI -> V\nQ -> Q\nJ -> X\nO -> K\nC -> P\nB -> J\nD -> F\nG -> P\nT -> S\nU -> Q\nH -> P\nX -> L\nV -> N\nM -> H\nR -> L\nS -> C\nF -> W\nW -> R\n\nStart value: H\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "H", "target": "R"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "V", "B": "B", "C": "W", "D": "N"}, "depth": 4, "id": "test_d04_00121", "intermediate_chain_supervision": true, "mapping": {"A": "C", "B": "W", "C": "G", "D": "N", "E": "S", "F": "A", "G": "S", "H": "A", "I": "D", "J": "V", "K": "I", "L": "A", "M": "F", "N": "B", "O": "Q", "P": "N", "Q": "V", "R": "L", "S": "G", "T": "I", "U": "W", "V": "N", "W": "K", "X": "K"}, "n_symbols": 24, "orbit": ["Q", "V", "N", "B", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nL -> A\nD -> N\nS -> G\nK -> I\nJ -> V\nN -> B\nI -> D\nP -> N\nX -> K\nM -> F\nB -> W\nV -> N\nA -> C\nF -> A\nT -> I\nR -> L\nC -> G\nO -> Q\nE -> S\nU -> W\nH -> A\nQ -> V\nW -> K\nG -> S\n\nStart value: Q\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "Q", "target": "W"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "B", "4": "C"}, "choices": {"A": "U", "B": "E", "C": "D", "D": "X"}, "depth": 4, "id": "test_d04_00122", "intermediate_chain_supervision": true, "mapping": {"A": "M", "B": "A", "C": "I", "D": "E", "E": "D", "F": "F", "G": "R", "H": "E", "I": "F", "J": "U", "K": "A", "L": "M", "M": "L", "N": "U", "O": "R", "P": "T", "Q": "U", "R": "H", "S": "G", "T": "O", "U": "X", "V": "W", "W": "J", "X": "E"}, "n_symbols": 24, "orbit": ["N", "U", "X", "E", "D"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nP -> T\nE -> D\nR -> H\nJ -> U\nI -> F\nV -> W\nB -> A\nO -> R\nQ -> U\nH -> E\nA -> M\nC -> I\nD -> E\nS -> G\nU -> X\nN -> U\nF -> F\nX -> E\nT -> O\nG -> R\nK -> A\nM -> L\nL -> M\nW -> J\n\nStart value: N\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "D"}
{"answer": "A", "chain_answer_by_loop": {"1": "B", "2": "C", "3": "D", "4": "A"}, "choices": {"A": "S", "B": "T", "C": "O", "D": "A"}, "depth": 4, "id": "test_d04_00123", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "P", "C": "E", "D": "T", "E": "L", "F": "A", "G": "C", "H": "R", "I": "V", "J": "L", "K": "E", "L": "E", "M": "K", "N": "T", "O": "A", "P": "B", "Q": "M", "R": "N", "S": "V", "T": "O", "U": "J", "V": "L", "W": "O", "X": "D"}, "n_symbols": 24, "orbit": ["D", "T", "O", "A", "S"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nU -> J\nP -> B\nL -> E\nI -> V\nK -> E\nR -> N\nQ -> M\nN -> T\nA -> S\nT -> O\nE -> L\nB -> P\nW -> O\nO -> A\nM -> K\nC -> E\nJ -> L\nG -> C\nF -> A\nS -> V\nH -> R\nD -> T\nV -> L\nX -> D\n\nStart value: D\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "D", "target": "S"}
{"answer": "C", "chain_answer_by_loop": {"1": "A", "2": "B", "3": "D", "4": "C"}, "choices": {"A": "D", "B": "P", "C": "W", "D": "U"}, "depth": 4, "id": "test_d04_00124", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "D", "C": "Q", "D": "P", "E": "I", "F": "U", "G": "Q", "H": "K", "I": "Q", "J": "C", "K": "A", "L": "X", "M": "J", "N": "S", "O": "D", "P": "U", "Q": "H", "R": "I", "S": "T", "T": "S", "U": "W", "V": "J", "W": "L", "X": "B"}, "n_symbols": 24, "orbit": ["B", "D", "P", "U", "W"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nC -> Q\nV -> J\nB -> D\nS -> T\nE -> I\nU -> W\nQ -> H\nN -> S\nF -> U\nD -> P\nJ -> C\nH -> K\nM -> J\nL -> X\nR -> I\nA -> Q\nO -> D\nG -> Q\nX -> B\nT -> S\nI -> Q\nK -> A\nW -> L\nP -> U\n\nStart value: B\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "B", "target": "W"}
{"answer": "B", "chain_answer_by_loop": {"1": "A", "2": "D", "3": "C", "4": "B"}, "choices": {"A": "I", "B": "C", "C": "R", "D": "U"}, "depth": 4, "id": "test_d04_00125", "intermediate_chain_supervision": true, "mapping": {"A": "D", "B": "C", "C": "G", "D": "I", "E": "I", "F": "T", "G": "D", "H": "P", "I": "U", "J": "E", "K": "U", "L": "R", "M": "Q", "N": "M", "O": "W", "P": "F", "Q": "R", "R": "C", "S": "R", "T": "S", "U": "R", "V": "K", "W": "R", "X": "S"}, "n_symbols": 24, "orbit": ["E", "I", "U", "R", "C"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nN -> M\nQ -> R\nF -> T\nI -> U\nV -> K\nU -> R\nO -> W\nR -> C\nE -> I\nM -> Q\nP -> F\nA -> D\nG -> D\nX -> S\nS -> R\nD -> I\nT -> S\nC -> G\nK -> U\nB -> C\nL -> R\nH -> P\nW -> R\nJ -> E\n\nStart value: E\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "E", "target": "C"}
{"answer": "B", "chain_answer_by_loop": {"1": "D", "2": "C", "3": "A", "4": "B"}, "choices": {"A": "B", "B": "M", "C": "P", "D": "D"}, "depth": 4, "id": "test_d04_00126", "intermediate_chain_supervision": true, "mapping": {"A": "S", "B": "M", "C": "S", "D": "P", "E": "J", "F": "R", "G": "Q", "H": "A", "I": "U", "J": "O", "K": "D", "L": "J", "M": "B", "N": "H", "O": "U", "P": "B", "Q": "T", "R": "G", "S": "A", "T": "G", "U": "T", "V": "X", "W": "O", "X": "G"}, "n_symbols": 24, "orbit": ["K", "D", "P", "B", "M"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nJ -> O\nW -> O\nG -> Q\nL -> J\nR -> G\nN -> H\nK -> D\nD -> P\nH -> A\nE -> J\nO -> U\nB -> M\nU -> T\nT -> G\nX -> G\nA -> S\nI -> U\nP -> B\nV -> X\nS -> A\nM -> B\nQ -> T\nC -> S\nF -> R\n\nStart value: K\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "K", "target": "M"}
{"answer": "B", "chain_answer_by_loop": {"1": "C", "2": "A", "3": "D", "4": "B"}, "choices": {"A": "T", "B": "L", "C": "G", "D": "F"}, "depth": 4, "id": "test_d04_00127", "intermediate_chain_supervision": true, "mapping": {"A": "Q", "B": "A", "C": "R", "D": "H", "E": "S", "F": "L", "G": "T", "H": "B", "I": "U", "J": "F", "K": "R", "L": "W", "M": "U", "N": "G", "O": "K", "P": "V", "Q": "H", "R": "J", "S": "Q", "T": "F", "U": "W", "V": "H", "W": "G", "X": "F"}, "n_symbols": 24, "orbit": ["N", "G", "T", "F", "L"], "prompt_style": "with_options", "question": "You are given a finite function f as a shuffled lookup table.\nFunction table:\nE -> S\nH -> B\nJ -> F\nK -> R\nP -> V\nO -> K\nG -> T\nI -> U\nS -> Q\nC -> R\nA -> Q\nL -> W\nU -> W\nN -> G\nT -> F\nD -> H\nX -> F\nV -> H\nB -> A\nQ -> H\nM -> U\nR -> J\nW -> G\nF -> L\n\nStart value: N\nApply f exactly 4 times.\nWhat is the final value?", "score_target": "label", "start": "N", "target": "L"}