r2-grpo

gistfile1.txt

{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10000001 -> 00101011\n01111110 -> 11010100\n\nNow, determine the output for: 11100010", "answer": "01001000", "puzzle_id": "3082a2e022d6", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524561"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10000001 -> 00101011\n01111110 -> 11010100\n\nNow, determine the output for: 11100011", "answer": "01001001", "puzzle_id": "5de2204c8050", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524574"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10000001 -> 00101011\n01111110 -> 11010100\n\nNow, determine the output for: 11010010", "answer": "01111000", "puzzle_id": "68c979ce5c80", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524587"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10000001 -> 00101011\n01111110 -> 11010100\n\nNow, determine the output for: 11010011", "answer": "01111001", "puzzle_id": "e508c2214c35", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524600"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n11110000 -> 01011010\n00001111 -> 10100101\n\nNow, determine the output for: 10010110", "answer": "00111100", "puzzle_id": "bd157580977c", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524613"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10000001 -> 00101011\n01111110 -> 11010100\n\nNow, determine the output for: 11010110", "answer": "01111100", "puzzle_id": "24b3e878f414", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524626"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10010110 -> 00111100\n01101001 -> 11000011\n\nNow, determine the output for: 11100001", "answer": "01001011", "puzzle_id": "82615bf4d0e1", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524655"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10110100\n11111111 -> 01001011\n10110100 -> 00000000\n01001011 -> 11111111\n10101010 -> 00011110\n01010101 -> 11100001\n11001100 -> 01111000\n00110011 -> 10000111\n\nNow, determine the output for: 11100010", "answer": "01010110", "puzzle_id": "aaf46b1232a3", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524669"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101000\n10000000 -> 10101110\n00001111 -> 11011000\n11110000 -> 10100010\n01010101 -> 00000000\n10101010 -> 11111111\n00110011 -> 01110110\n11001100 -> 10011100\n\nNow, determine the output for: 01100110", "answer": "00100001", "puzzle_id": "0d4f1de160ee", "kind": "solved", "difficulty_prior": 5, "composition_depth": 4, "skill_tags": ["rotate", "xor_mask", "not", "reverse", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524682"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n10000000 -> 10101000\n11110000 -> 11011010\n00001111 -> 11101100\n01010101 -> 00000000\n10101010 -> 11111110\n11001100 -> 10000010\n00110011 -> 00011110\n\nNow, determine the output for: 11100011", "answer": "00011100", "puzzle_id": "478509cbfb0b", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["rotate", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524697"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n10000000 -> 10101000\n11110000 -> 11011010\n00001111 -> 11101100\n01010101 -> 00001111\n10101010 -> 00000000\n11001100 -> 10100010\n00110011 -> 00011110\n\nNow, determine the output for: 11100011", "answer": "00111110", "puzzle_id": "5e2780f1e232", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.524710"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 01010010\n10000000 -> 01010110\n11110000 -> 10000010\n00001111 -> 00101000\n01010101 -> 00001100\n10101010 -> 01010100\n11001100 -> 11110110\n00110011 -> 00001110\n\nNow, determine the output for: 11100010", "answer": "01011010", "puzzle_id": "62930f8ad20b", "kind": "solved", "difficulty_prior": 2, "composition_depth": 1, "skill_tags": ["linear_gf2"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524723"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n10000000 -> 10101000\n11110000 -> 11011010\n00001111 -> 11101110\n01010101 -> 00000000\n10101010 -> 11111111\n11001100 -> 10000010\n00110011 -> 00011101\n\nNow, determine the output for: 11100011", "answer": "00011111", "puzzle_id": "8c53b8160e6e", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.524736"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n10000000 -> 10101010\n11110000 -> 01011010\n00001111 -> 11111110\n10101010 -> 00001000\n01010101 -> 00010100\n11001100 -> 10110010\n00110011 -> 00011110\n\nNow, determine the output for: 11100011", "answer": "00110010", "puzzle_id": "85155d1ed9a0", "kind": "solved", "difficulty_prior": 4, "composition_depth": 4, "skill_tags": ["xor_mask", "rotate", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524748"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101000\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10000001 -> 00101110\n01111110 -> 01010001\n\nNow, determine the output for: 11010010", "answer": "00011000", "puzzle_id": "5bae888dbb96", "kind": "solved", "difficulty_prior": 4, "composition_depth": 2, "skill_tags": ["xor_mask", "linear_gf2", "conditional_selection"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524761"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n10000000 -> 10101010\n11110000 -> 10011010\n00001111 -> 11101100\n01010101 -> 00001111\n10101010 -> 00000000\n11001100 -> 11100010\n00110011 -> 00011001\n\nNow, determine the output for: 11100011", "answer": "00111111", "puzzle_id": "4c83e7ae0284", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["not", "rotate", "xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524775"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 00001110\n10000000 -> 00110101\n11110000 -> 10000001\n00001111 -> 01101000\n10101010 -> 01000100\n01010101 -> 10100001\n11001100 -> 01010111\n00110011 -> 10011110\n\nNow, determine the output for: 11100111", "answer": "00100100", "puzzle_id": "3492bcf9dc5d", "kind": "solved", "difficulty_prior": 2, "composition_depth": 1, "skill_tags": ["linear_gf2"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524789"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101000\n10000000 -> 10101110\n11110000 -> 10100010\n00001111 -> 11001100\n01010101 -> 00000000\n10101010 -> 11111111\n11001100 -> 01110000\n00110011 -> 00011011\n\nNow, determine the output for: 11100111", "answer": "00001000", "puzzle_id": "54910b991b79", "kind": "solved", "difficulty_prior": 2, "composition_depth": 1, "skill_tags": ["xor_mask", "linear_gf2"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524802"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 00101010\n10101010 -> 00000000\n01010101 -> 01111111\n11001100 -> 00110011\n00110011 -> 01001100\n10011001 -> 00001100\n01100110 -> 01110110\n\nNow, determine the output for: 11110000", "answer": "00101101", "puzzle_id": "9c0a72ba5df6", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["shift", "xor_mask", "conditional_selection"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524834"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 11101011\n10101010 -> 10000000\n01010101 -> 10010101\n11001100 -> 10110011\n00110011 -> 10111100\n10000001 -> 10000000\n01111110 -> 10011111\n\nNow, determine the output for: 11100011", "answer": "10001000", "puzzle_id": "aa8c60375b25", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["reverse", "xor_mask", "conditional_selection", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524849"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n00001111 -> 11101110\n00110011 -> 00010010\n01010101 -> 10000100\n10000000 -> 10101010\n11110000 -> 00101010\n00101010 -> 00000000\n11001100 -> 01100010\n\nNow, determine the output for: 01100110", "answer": "01001000", "puzzle_id": "a85e64ed7a13", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["rotate", "xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524863"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n00000011 -> 10111110\n00010000 -> 11101010\n00101010 -> 00000010\n01010101 -> 01000100\n10000000 -> 10101010\n11001100 -> 10000010\n00110011 -> 00011110\n\nNow, determine the output for: 01100110", "answer": "00001010", "puzzle_id": "12dde0b82388", "kind": "solved", "difficulty_prior": 2, "composition_depth": 2, "skill_tags": ["xor_mask", "reverse", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524876"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10100001\n00000010 -> 10101101\n00001111 -> 10000001\n00010101 -> 01010001\n00100011 -> 10010001\n01010101 -> 01010001\n10000000 -> 10100101\n11001100 -> 00110001\n\nNow, determine the output for: 00110110", "answer": "01011101", "puzzle_id": "fdd7438617bb", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["reverse", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524890"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n00000011 -> 10111110\n00001111 -> 11101110\n00010101 -> 10000100\n00100100 -> 00000010\n01010101 -> 00000100\n10000000 -> 10101010\n11001100 -> 10111110\n\nNow, determine the output for: 00110011", "answer": "00011110", "puzzle_id": "45642799675b", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.524903"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 00101010\n10101010 -> 00000000\n01010101 -> 01111111\n11001100 -> 00110011\n00110011 -> 01001100\n10000001 -> 00010101\n01110010 -> 01100000\n\nNow, determine the output for: 11010110", "answer": "00111110", "puzzle_id": "b2fd87b00d58", "kind": "solved", "difficulty_prior": 2, "composition_depth": 2, "skill_tags": ["shift", "xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524916"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n00000010 -> 10101010\n00001111 -> 10001100\n00010000 -> 11101010\n00110011 -> 01110110\n01010101 -> 00000100\n10000000 -> 10101010\n11001100 -> 10100010\n\nNow, determine the output for: 01100110", "answer": "00001000", "puzzle_id": "1283ee7ef24a", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["rotate", "xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524929"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 00101010\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 00110011\n00110011 -> 11001100\n10000001 -> 00101011\n01110010 -> 11110100\n\nNow, determine the output for: 11010110", "answer": "00111110", "puzzle_id": "47e7299210de", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.524943"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10100001\n00000010 -> 10101101\n00000100 -> 10110101\n00001000 -> 10100101\n00010000 -> 11010101\n00100000 -> 10100101\n01000000 -> 10100101\n10101010 -> 11110111\n\nNow, determine the output for: 11001100", "answer": "00110101", "puzzle_id": "3b22966ced04", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "linear_gf2", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524955"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101000\n00001111 -> 00001010\n10101010 -> 01000100\n01010101 -> 00000000\n11110000 -> 01010100\n00110011 -> 10111100\n11001100 -> 10001110\n00000000 -> 10101010\n\nNow, determine the output for: 01100110", "answer": "00011110", "puzzle_id": "aa16d83e7128", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.524969"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101110\n00000011 -> 10111110\n00010000 -> 11101010\n00101010 -> 00000000\n01010101 -> 01000100\n10000001 -> 10101110\n11001100 -> 10000010\n00110011 -> 00011100\n\nNow, determine the output for: 01100110", "answer": "00001000", "puzzle_id": "6c5eee41d079", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["rotate", "xor_mask", "linear_gf2", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.524999"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10101011\n10000000 -> 10101011\n11110000 -> 01011111\n00001111 -> 01011111\n10101010 -> 00000000\n01010101 -> 00000000\n11001100 -> 11110011\n00110011 -> 11110011\n\nNow, determine the output for: 11100010", "answer": "11010111", "puzzle_id": "c50980da2b44", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525014"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 11101010\n10000000 -> 10101011\n11110000 -> 10100101\n00001111 -> 00001010\n10101010 -> 01010101\n01010101 -> 00000000\n11001100 -> 11110011\n00110011 -> 00111100\n\nNow, determine the output for: 11100010", "answer": "11010111", "puzzle_id": "96206f03961a", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525026"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 11101010\n10000000 -> 10101011\n11110000 -> 10100101\n00001111 -> 00000000\n10101010 -> 01100101\n01010101 -> 00000000\n11001100 -> 10000011\n00110011 -> 00101000\n\nNow, determine the output for: 11100010", "answer": "11010111", "puzzle_id": "5c97d519e18d", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525039"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 11101010\n10000000 -> 10101011\n11110000 -> 10100101\n00001111 -> 00000000\n10101010 -> 01010101\n01010101 -> 00000000\n11001100 -> 11110011\n00110011 -> 00001100\n\nNow, determine the output for: 11100010", "answer": "11010111", "puzzle_id": "e36b6b8ba12e", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525054"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 01010101\n10101010 -> 11111111\n01010101 -> 00000000\n11001100 -> 10100101\n00110011 -> 00001010\n10000001 -> 00110101\n01111110 -> 11100101\n\nNow, determine the output for: 11010010", "answer": "11011011", "puzzle_id": "8decb2483546", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525067"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 10101010\n10101010 -> 10101010\n01010101 -> 01010101\n11001100 -> 11100011\n00110011 -> 00011100\n10000001 -> 00110101\n01111110 -> 11001010\n\nNow, determine the output for: 11010010", "answer": "11111011", "puzzle_id": "f0da646c24f2", "kind": "solved", "difficulty_prior": 4, "composition_depth": 4, "skill_tags": ["rotate", "xor_mask", "linear_gf2", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525079"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n11110000 -> 01010101\n00001111 -> 10100101\n\nNow, determine the output for: 10011001", "answer": "00110011", "puzzle_id": "1368e2d8b708", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525093"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 10110101\n10000000 -> 10110101\n11110000 -> 10100101\n00001111 -> 11100100\n10101010 -> 01100001\n01010101 -> 00000100\n11001100 -> 10000011\n00110011 -> 11000010\n\nNow, determine the output for: 11100010", "answer": "11011011", "puzzle_id": "e50ba816dc04", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "linear_gf2"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525105"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000001 -> 11101010\n10000000 -> 10101011\n11110000 -> 10100101\n00001111 -> 00000000\n10101010 -> 01010101\n01010101 -> 00000000\n11001100 -> 10110111\n00110011 -> 00100010\n\nNow, determine the output for: 11100010", "answer": "11010111", "puzzle_id": "406ffe197fd6", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525119"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 00000000\n11110000 -> 10100101\n00001111 -> 10100101\n10000001 -> 01010100\n01100110 -> 00110011\n\nNow, determine the output for: 11001010", "answer": "01100000", "puzzle_id": "53d01c8379b1", "kind": "solved", "difficulty_prior": 4, "composition_depth": 4, "skill_tags": ["xor_mask", "rotate", "linear_gf2", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525131"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01011010\n11111111 -> 01011010\n10101010 -> 01011010\n01010101 -> 11110000\n11001100 -> 10010110\n00110011 -> 10010110\n11110000 -> 10010110\n00001111 -> 10101010\n\nNow, determine the output for: 10011001", "answer": "11000011", "puzzle_id": "bfcb800cdc3e", "kind": "solved", "difficulty_prior": 3, "composition_depth": 3, "skill_tags": ["xor_mask", "rotate", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525144"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11110011\n11111111 -> 00001100\n10101010 -> 00011110\n01010101 -> 11100001\n11001100 -> 10010110\n00110011 -> 01101001\n10000001 -> 01110010\n01111110 -> 10001101\n\nNow, determine the output for: 11010010", "answer": "10011101", "puzzle_id": "0ef0f09f7851", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525175"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n00000001 -> 10101011\n00000100 -> 10101110\n00010001 -> 01010101\n00110011 -> 01100110\n10101010 -> 11111111\n11110000 -> 01100101\n01010101 -> 11111111\n\nNow, determine the output for: 11001001", "answer": "01011100", "puzzle_id": "69365f79906d", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525189"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01010110\n00110011 -> 10101001\n11110000 -> 01011010\n00001111 -> 10100101\n\nNow, determine the output for: 10011001", "answer": "01100011", "puzzle_id": "9ee33ddfb6d6", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525201"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01011010\n11111111 -> 01011010\n10101010 -> 01011010\n01010101 -> 11110000\n11001100 -> 10010110\n00110011 -> 10010110\n11110000 -> 10100101\n00001111 -> 10100101\n\nNow, determine the output for: 10010110", "answer": "00111100", "puzzle_id": "3b343cf8b9fe", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "conditional_selection"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525214"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10100101 -> 00000000\n01011010 -> 11111111\n11001100 -> 11111111\n00110011 -> 00000000\n10101010 -> 00000000\n01010101 -> 11111111\n\nNow, determine the output for: 11100010", "answer": "11111111", "puzzle_id": "b4eee6ddbbba", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["not", "conditional_selection"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525228"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111110\n11111111 -> 00000000\n10101010 -> 00000000\n01010101 -> 11111110\n11001100 -> 01010100\n00110011 -> 10101010\n10000001 -> 11111100\n01111110 -> 00000010\n\nNow, determine the output for: 11010010", "answer": "01000110", "puzzle_id": "656c339e017e", "kind": "failed", "difficulty_prior": null, "composition_depth": null, "skill_tags": [], "failure_reason": "outside_ladder", "split": "train", "built_at": "2026-06-03T17:14:33.525241"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01010101\n11111111 -> 10101010\n10101010 -> 11111111\n01010101 -> 00000000\n11001100 -> 10011001\n00110011 -> 01100110\n11110000 -> 10100101\n00001111 -> 01011010\n\nNow, determine the output for: 10010110", "answer": "00011100", "puzzle_id": "4ede8f8a9f08", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525253"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01101110\n11111111 -> 10010001\n10110010 -> 11111111\n01001101 -> 00000000\n11001100 -> 11000101\n00110011 -> 00111010\n10101010 -> 11110110\n01010101 -> 00001001\n\nNow, determine the output for: 11100001", "answer": "01011100", "puzzle_id": "8ef7123ee2fd", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["rotate", "xor_mask", "not", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525266"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01101101\n11111111 -> 10010010\n10110010 -> 11111111\n01001101 -> 00000000\n11001100 -> 11100001\n00110011 -> 00011110\n10101010 -> 11110111\n01010101 -> 00001000\n\nNow, determine the output for: 11100001", "answer": "10011100", "puzzle_id": "a85371adf060", "kind": "solved", "difficulty_prior": 4, "composition_depth": 3, "skill_tags": ["rotate", "xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525280"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01011010\n11111111 -> 10100101\n10101010 -> 11110000\n01010101 -> 00001111\n11001100 -> 00011100\n00110011 -> 11100011\n11110000 -> 01011101\n00001111 -> 10100010\n\nNow, determine the output for: 10011001", "answer": "00011111", "puzzle_id": "4edb9971479d", "kind": "solved", "difficulty_prior": 3, "composition_depth": 3, "skill_tags": ["xor_mask", "rotate", "linear_gf2", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525293"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01011010\n11111111 -> 10100101\n10100101 -> 11111000\n01011010 -> 00000111\n11001100 -> 10010110\n00110011 -> 01101001\n10101010 -> 11110000\n01010101 -> 00001111\n\nNow, determine the output for: 11100010", "answer": "10111000", "puzzle_id": "0685f4ad8a25", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525307"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01100100\n11111111 -> 10011011\n10110011 -> 11111111\n01001100 -> 00000000\n11001010 -> 11001100\n00110101 -> 00110011\n10101010 -> 01110100\n01010101 -> 10001011\n\nNow, determine the output for: 11100001", "answer": "10011100", "puzzle_id": "bf0e9b16281c", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525319"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 01011010\n11111111 -> 10100101\n10101010 -> 11110000\n01010101 -> 00001111\n11001100 -> 10011100\n00110011 -> 01100011\n11110000 -> 01010010\n00001111 -> 10101101\n\nNow, determine the output for: 10010110", "answer": "11001101", "puzzle_id": "f407c9617f3b", "kind": "solved", "difficulty_prior": 5, "composition_depth": 4, "skill_tags": ["rotate", "xor_mask", "not", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525351"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10101010\n11111111 -> 01010101\n10101010 -> 00000000\n01010101 -> 11111111\n11001100 -> 01100110\n00110011 -> 10011001\n10010110 -> 00111100\n01101001 -> 11000011\n\nNow, determine the output for: 11100010", "answer": "01001000", "puzzle_id": "a23144631e01", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525366"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000001 -> 10000000\n10000000 -> 10000001\n00000001 -> 00000001\n11111111 -> 11111110\n01010101 -> 01010101\n10101010 -> 10101011\n11001100 -> 11001101\n\nNow, determine the output for: 01100011", "answer": "01100011", "puzzle_id": "fa17108b9905", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525396"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000001 -> 00000001\n00011000 -> 10001000\n10011001 -> 10001001\n11111111 -> 01111110\n01010101 -> 01010100\n10101010 -> 10101011\n00110011 -> 10110010\n\nNow, determine the output for: 11001100", "answer": "01001101", "puzzle_id": "d8281b089c03", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "conditional_selection", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525410"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000001 -> 00010001\n11111111 -> 11101111\n10010000 -> 00000000\n01100110 -> 01110110\n00011000 -> 00001000\n11000011 -> 01010011\n00100100 -> 00110100\n\nNow, determine the output for: 10101010", "answer": "00111010", "puzzle_id": "0d2243bad7f1", "kind": "solved", "difficulty_prior": 3, "composition_depth": 3, "skill_tags": ["xor_mask", "shift", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525423"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000000 -> 10000001\n00000001 -> 00000001\n10000001 -> 10000000\n11110000 -> 11110001\n01010101 -> 01010101\n10101010 -> 10101011\n11001100 -> 11001101\n\nNow, determine the output for: 10011001", "answer": "10011000", "puzzle_id": "f006268f41ac", "kind": "solved", "difficulty_prior": 2, "composition_depth": 2, "skill_tags": ["xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525437"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n00000001 -> 00000001\n00001000 -> 00000001\n10000000 -> 00000001\n00001001 -> 00000000\n10000001 -> 00000000\n10001000 -> 00000000\n10001001 -> 00000001\n\nNow, determine the output for: 10101010", "answer": "00000001", "puzzle_id": "195848761f19", "kind": "solved", "difficulty_prior": 2, "composition_depth": 1, "skill_tags": ["xor_mask", "linear_gf2"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525450"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000001 -> 10000000\n10000000 -> 10000001\n00000001 -> 00000001\n11111111 -> 11111110\n01010101 -> 01010100\n10101010 -> 10101011\n11001100 -> 11001101\n\nNow, determine the output for: 00110011", "answer": "00110011", "puzzle_id": "f635ffb94329", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "composition"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525464"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 10100101\n11111111 -> 01011010\n10100101 -> 00000000\n01011010 -> 11111111\n11001100 -> 01101001\n00110011 -> 10010110\n10101010 -> 00001111\n01010101 -> 11110000\n\nNow, determine the output for: 11100010", "answer": "01000111", "puzzle_id": "4efdfeebc706", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["xor_mask"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525477"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000001 -> 10000000\n10000000 -> 10000001\n00000001 -> 00000001\n11111111 -> 11111110\n01010101 -> 01010101\n10101010 -> 10101011\n11001100 -> 11001101\n\nNow, determine the output for: 10011001", "answer": "10011000", "puzzle_id": "c661daeadb6a", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "conditional_selection"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525491"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 00000000\n10000001 -> 10000000\n10000000 -> 10000001\n00000001 -> 00000001\n11111111 -> 11111110\n01010101 -> 01010101\n10101010 -> 10101011\n11000011 -> 11000010\n\nNow, determine the output for: 01100110", "answer": "01100110", "puzzle_id": "983b857cc8c1", "kind": "solved", "difficulty_prior": 3, "composition_depth": 2, "skill_tags": ["xor_mask", "conditional_selection"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525504"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10101010 -> 01010101\n01010101 -> 10101010\n11110000 -> 00001111\n00001111 -> 11110000\n10000001 -> 01111110\n01100110 -> 10011001\n\nNow, determine the output for: 11001010", "answer": "00110101", "puzzle_id": "0e2ee77c082c", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["not"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525518"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10101010 -> 01010101\n01010101 -> 10101010\n11110000 -> 00001111\n00001111 -> 11110000\n10000001 -> 01111110\n00110011 -> 11001100\n\nNow, determine the output for: 11100010", "answer": "00011101", "puzzle_id": "b9edc8800575", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["not"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525560"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10101010 -> 01010101\n01010101 -> 10101010\n11110000 -> 00001111\n00001111 -> 11110000\n11001100 -> 00110011\n00110011 -> 11001100\n\nNow, determine the output for: 10010110", "answer": "01101001", "puzzle_id": "1ad75a31c15e", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["not"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525575"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10101010 -> 01010101\n01010101 -> 10101010\n11110000 -> 00001111\n00001111 -> 11110000\n11001100 -> 00110011\n10000001 -> 01111110\n\nNow, determine the output for: 01100110", "answer": "10011001", "puzzle_id": "c8ff39e9e02b", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["not"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525588"}
{"prompt": "In Alice's Wonderland, a secret bit manipulation rule transforms 8-bit binary numbers. The transformation involves operations like bit shifts, rotations, XOR, AND, OR, NOT, and possibly majority or choice functions.\n\nHere are some examples of input -> output:\n00000000 -> 11111111\n11111111 -> 00000000\n10101010 -> 01010101\n01010101 -> 10101010\n11110000 -> 00001111\n00001111 -> 11110000\n11001100 -> 00110011\n10000001 -> 01111110\n\nNow, determine the output for: 11100011", "answer": "00011100", "puzzle_id": "e4b98e848359", "kind": "solved", "difficulty_prior": 1, "composition_depth": 1, "skill_tags": ["not"], "failure_reason": null, "split": "train", "built_at": "2026-06-03T17:14:33.525600"}