{"fen": "rnbqk2r/pp2bppp/2p2n2/3p2B1/3P4/2N2NP1/PP2PP1P/R2QKB1R b KQkq -", "source": "stockfish_multipv", "best_move": "e8g8", "candidate_ratings": [{"uci": "e8g8", "rank": 1, "expectation": 0.5332840382511314, "pv_line": "e8g8 d1c2 b8d7 g5f4 f8e8 f1g2 f6e4 e1g1", "cp": 40}, {"uci": "b8d7", "rank": 2, "expectation": 0.5274723043445937, "pv_line": "b8d7 f1h3 e8g8 e1g1 f8e8 e2e3 e7b4 a1c1", "cp": 33}, {"uci": "h7h6", "rank": 3, "expectation": 0.5233164098038501, "pv_line": "h7h6 g5f6 e7f6 e2e3 e8g8 a1c1 f6e7 f1d3", "cp": 28}, {"uci": "c8e6", "rank": 4, "expectation": 0.5183251216999564, "pv_line": "c8e6 g5f6 e7f6 e2e3 b8d7 f1d3 f6e7 h2h4", "cp": 22}, {"uci": "c8f5", "rank": 5, "expectation": 0.5166604965694114, "pv_line": "c8f5 g5f6 e7f6 e2e3 b8d7 f1d3 f5h3 d3f1", "cp": 20}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e8g8: +40cp; Bucket: equal\n2. Candidate b8d7: +33cp; Bucket: equal\n3. Candidate h7h6: +28cp; Bucket: equal\n4. Candidate c8e6: +22cp; Bucket: equal\n5. Candidate c8f5: +20cp; Bucket: equal\n6. Best: b8d7", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e8g8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e8g8: +40cp; Bucket: equal\nCandidate b8d7: +33cp; Bucket: equal\nCandidate h7h6: +28cp; Bucket: equal\nCandidate c8e6: +22cp; Bucket: equal\nCandidate c8f5: +20cp; Bucket: equal\nBest: e8g8", "displayed_trace": "Candidate e8g8: +40cp; Bucket: equal\nCandidate b8d7: +33cp; Bucket: equal\nCandidate h7h6: +28cp; Bucket: equal\nCandidate c8e6: +22cp; Bucket: equal\nCandidate c8f5: +20cp; Bucket: equal\nBest: b8d7", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e8g8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e8g8."}} {"fen": "2r1r3/p4kpp/2Q2p2/3p4/4q3/7P/3BbPP1/1R2R1K1 w - 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3 19", "side": "white", "legal_moves": ["e7g8", "e7c8", "e7g6", "e7c6", "e7f5", "e7d5", "d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "e2e6", "e2h5", "e2e5", "e2g4", "e2e4", "e2f3", "e2e3", "e2f2", "e2f1", "e2d1", "h1h6", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "e1f2", "e1f1", "e1d1", "a1d1", "a1c1", "a1b1", "e1g1", "e1c1", "g2g3", "c2c3", "b2b3", "a2a3", "g2g4", "c2c4", "b2b4", "a2a4"], "solution_first_move": "d3g6", "solution_full": ["d3g6", "f7f8", "g6e8"], "themes": ["advantage", "middlegame", "short", "skewer"], "rating": 1446, "puzzle_id": "EaV6H"} {"fen": "5r2/2R5/7k/p2N3q/Pb1P4/7Q/1P3rPP/6K1 w - - 7 41", "side": "white", "legal_moves": ["c7c8", "c7h7", "c7g7", "c7f7", "c7e7", "c7d7", "c7b7", "c7a7", "c7c6", "c7c5", "c7c4", "c7c3", "c7c2", "c7c1", "d5e7", "d5f6", "d5b6", "d5f4", "d5b4", "d5e3", "d5c3", "h3c8", "h3d7", "h3e6", "h3h5", "h3f5", "h3h4", "h3g4", "h3g3", "h3f3", "h3e3", "h3d3", "h3c3", "h3b3", "h3a3", "g1h1", "g2g3", "b2b3", "g2g4"], "solution_first_move": "c7h7", "solution_full": ["c7h7", "h6h7", "h3h5"], "themes": ["attraction", "crushing", "deflection", "middlegame", "pin", "short"], "rating": 1681, "puzzle_id": "CBf8r"} {"fen": "7r/1p3b1k/2p2Ppb/p1q1p1P1/4P2Q/1P1r4/P3N1BP/5R1K w - - 1 30", "side": "white", "legal_moves": ["h4h6", "h4h5", "h4g4", "h4f4", "h4h3", "h4g3", "h4f2", "h4e1", "g2h3", "g2f3", "e2f4", "e2d4", "e2g3", "e2c3", "e2g1", "e2c1", "f1f5", "f1f4", "f1f3", "f1f2", "f1g1", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "g5h6", "b3b4", "h2h3", "a2a3", "a2a4"], "solution_first_move": "h4h6", "solution_full": ["h4h6", "h7g8", "h6g7"], "themes": ["master", "mate", "mateIn2", "middlegame", "short"], "rating": 958, "puzzle_id": "3UHdB"} {"fen": "r2q1rk1/bpp2p2/p1n4p/4P1pn/6b1/5NB1/PPB1QPPP/RN3RK1 w - - 3 15", "side": "white", "legal_moves": ["g3h4", "g3f4", "f3g5", "f3h4", "f3d4", "f3d2", "f3e1", "e2a6", "e2b5", "e2e4", "e2c4", "e2e3", "e2d3", "e2d2", "e2e1", "e2d1", "c2h7", "c2g6", "c2f5", "c2e4", "c2a4", "c2d3", "c2b3", "c2d1", "g1h1", "f1e1", "f1d1", "f1c1", "b1c3", "b1a3", "b1d2", "e5e6", "h2h3", "b2b3", "a2a3", "h2h4", "b2b4", "a2a4"], "solution_first_move": "e2e4", "solution_full": ["e2e4", "f7f5", "e5f6"], "themes": ["crushing", "enPassant", "middlegame", "short"], "rating": 1878, "puzzle_id": "5GJVL"} {"fen": "8/1p6/p2k4/Pr5P/6K1/2R2P2/2p5/8 b - - 4 55", "side": "black", "legal_moves": ["d6e7", "d6d7", "d6e6", "d6e5", "d6d5", "b5b6", "b5h5", "b5g5", "b5f5", "b5e5", "b5d5", "b5c5", "b5a5", "b5b4", "b5b3", "b5b2", "b5b1", "b7b6", "c2c1q", "c2c1r", "c2c1b", "c2c1n"], "solution_first_move": "b5c5", "solution_full": ["b5c5", "c3c2", "c5c2"], "themes": ["crushing", "endgame", "rookEndgame", "short"], "rating": 1509, "puzzle_id": "4uSI0"} {"fen": "8/1p4pk/7p/4Q3/8/pP1N1P2/2PK2PP/q7 b - - 2 45", "side": "black", "legal_moves": ["h7h8", "h7g8", "h7g6", "a1e5", "a1d4", "a1c3", "a1b2", "a1a2", "a1h1", "a1g1", "a1f1", "a1e1", "a1d1", "a1c1", "a1b1", "g7g6", "b7b6", "h6h5", "a3a2", "g7g5", "b7b5"], "solution_first_move": "a1e5", "solution_full": ["a1e5", "d3e5", "a3a2"], "themes": ["advancedPawn", "crushing", "endgame", "short"], "rating": 948, "puzzle_id": "C3i8r"} {"fen": "3r1rk1/1p3ppp/p2p1P2/3Q1N2/4P1P1/5p2/PPP1q2P/3R3K w - - 2 24", "side": "white", "legal_moves": ["f5g7", "f5e7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "d5f7", "d5b7", "d5e6", "d5d6", "d5c6", "d5e5", "d5c5", "d5b5", "d5a5", "d5d4", "d5c4", "d5d3", "d5b3", "d5d2", "h1g1", "d1d4", "d1d3", "d1d2", "d1g1", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "f6g7", "g4g5", "e4e5", "h2h3", "c2c3", "b2b3", "a2a3", "h2h4", "c2c4", "b2b4", "a2a4"], "solution_first_move": "f5e7", "solution_full": ["f5e7", "g8h8", "f6g7", "h8g7", "d5g5", "g7h8", "g5f6"], "themes": ["advancedPawn", "attraction", "endgame", "kingsideAttack", "mate", "mateIn4", "veryLong"], "rating": 1789, "puzzle_id": "0p6pQ"} {"fen": "8/5Qbp/p2r2pk/1p6/2n5/P4P1N/KP2r1PP/8 w - 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-", "best_move": "f1b5", "pv_line": "f1b5 g7h6 e3c5 e7d8 c5b6 d8e7 b5a6 h7f8 a6f1 f8d7", "depth": 33, "knodes": 45835, "cp": 356, "mate": null, "eval_perspective": "white"} {"fen": "1Q3bk1/p2p1ppp/8/8/2p1bp2/1P6/P2P2PP/R1BqNK1R b - - 0 18", "side": "black", "legal_moves": ["g8h8", "e4a8", "e4b7", "e4g6", "e4c6", "e4f5", "e4d5", "e4f3", "e4d3", "e4g2", "e4c2", "e4b1", "d1h5", "d1g4", "d1f3", "d1b3", "d1e2", "d1d2", "d1c2", "d1e1", "d1c1", "c4b3", "h7h6", "g7g6", "f7f6", "d7d6", "a7a6", "f4f3", "c4c3", "h7h5", "g7g5", "f7f5", "d7d5", "a7a5"], "solution_first_move": "e4d3", "solution_full": ["e4d3", "f1f2", "d1e2", "f2g1", "e2e1"], "themes": ["deflection", "interference", "long", "mate", "mateIn3", "middlegame"], "rating": 1145, "puzzle_id": "7VvOJ"} {"fen": "1kr5/1p4p1/p1b1p2p/4q2B/4P3/1N6/PP2Q1P1/1K1R4 b - - 4 28", "side": "black", "legal_moves": ["c8h8", "c8g8", "c8f8", "c8e8", "c8d8", "c8c7", "b8a8", "b8c7", "b8a7", "c6e8", "c6d7", "c6d5", "c6b5", "c6e4", "c6a4", "e5c7", "e5f6", "e5d6", "e5h5", "e5g5", "e5f5", "e5d5", "e5c5", "e5b5", "e5a5", "e5f4", "e5e4", "e5d4", "e5g3", "e5c3", "e5h2", "e5b2", "g7g6", "b7b6", "a6a5", "g7g5", "b7b5"], "solution_first_move": "c6e4", "solution_full": ["c6e4", "b1a1", "c8c2", "e2c2", "e4c2"], "themes": ["advantage", "long", "middlegame", "queensideAttack"], "rating": 1452, "puzzle_id": "AyurK"} {"fen": "7k/4KQ2/8/8/8/3N4/8/8 w - -", "best_move": "f7f3", "pv_line": "f7f3 h8h7 f3g3 h7h6 e7f6 h6h5 g3h3", "depth": 245, "knodes": 2952, "cp": null, "mate": 4, "eval_perspective": "white"} {"fen": "2k3rB/ppp2p1p/2np4/8/4P3/2NB1b2/PPP2PPP/R4RK1 b - - 0 13", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8e8", "g8d8", "g8g7", "g8g6", "g8g5", "g8g4", "g8g3", "g8g2", "c8d8", "c8b8", "c8d7", "c6d8", "c6b8", "c6e7", "c6e5", "c6a5", "c6d4", "c6b4", "f3h5", "f3g4", "f3e4", "f3g2", "f3e2", "f3d1", "h7h6", "f7f6", "b7b6", "a7a6", "d6d5", "h7h5", "f7f5", "b7b5", "a7a5"], "solution_first_move": "g8g2", "solution_full": ["g8g2", "g1h1", "g2g4"], "themes": ["discoveredAttack", "discoveredCheck", "kingsideAttack", "mate", "mateIn2", "middlegame", "morphysMate", "short"], "rating": 1456, "puzzle_id": "00Vdx"} {"fen": "8/5R1p/4p2k/8/pq5r/3B4/2PK2RP/8 w - - 1 43", "side": "white", "legal_moves": ["d2e3", "d2e2", "d2d1", "d2c1", "c2c3"], "solution_first_move": "d2e2", "solution_full": ["d2e2", "h4g4", "f7h7", "h6g5", "h7g7"], "themes": ["crushing", "defensiveMove", "endgame", "exposedKing", "long"], "rating": 2622, "puzzle_id": "Eww2D"} {"fen": "3r1r2/Q4P1p/6p1/2pPn3/4q3/1Pk5/P1P4P/1K1R1R2 b - - 0 36", "side": "black", "legal_moves": ["f8h8", "f8g8", "f8e8", "f8f7", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "e5f7", "e5d7", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "e4f5", "e4d5", "e4h4", "e4g4", "e4f4", "e4d4", "e4c4", "e4b4", "e4a4", "e4f3", "e4e3", "e4d3", "e4g2", "e4e2", "e4c2", "e4h1", "e4e1", "c3b4", "h7h6", "g6g5", "c5c4", "h7h5"], "solution_first_move": "e4c2", "solution_full": ["e4c2", "b1a1", "c2b2"], "themes": ["mate", "mateIn2", "middlegame", "queensideAttack", "short"], "rating": 1052, "puzzle_id": "JwNEx"} {"fen": "1rb2k1r/p1pp1pp1/2p2q2/6p1/4N3/8/PPPQ1PPP/2KR1B1R b - - 0 13", "side": "black", "legal_moves": ["h8g8", "h8h7", "h8h6", "h8h5", "h8h4", "h8h3", "h8h2", "f8g8", "f8e8", "f8e7", "c8b7", "c8a6", "b8a8", "b8b7", "b8b6", "b8b5", "b8b4", "b8b3", "b8b2", "f6d8", "f6e7", "f6h6", "f6g6", "f6e6", "f6d6", "f6f5", "f6e5", "f6f4", "f6d4", "f6f3", "f6c3", "f6f2", "f6b2", "g7g6", "d7d6", "a7a6", "c6c5", "g5g4", "d7d5", "a7a5"], "solution_first_move": "f6b2", "solution_full": ["f6b2"], "themes": ["mate", "mateIn1", "middlegame", "oneMove", "queensideAttack"], "rating": 623, "puzzle_id": "3uU0K"} {"fen": "2r3k1/1prnbp1p/p3p1p1/3nP3/3N4/1P3N2/PB3PPP/R2R1K2 w - -", "source": "stockfish_multipv", "best_move": "h2h4", "candidate_ratings": [{"uci": "h2h4", "rank": 1, "expectation": 0.4567748355181423, "pv_line": "h2h4 d7c5 g2g3 g8f8 a1c1 f8e8 a2a3 h7h5", "cp": -52}, {"uci": "d4e2", "rank": 2, "expectation": 0.4559478501552788, "pv_line": "d4e2 g8f8 g2g3 d5b4 a2a3 b4c6 a1b1 f8e8", "cp": -53}, {"uci": "g2g3", "rank": 3, "expectation": 0.4534683690013999, "pv_line": "g2g3 g8f8 d4e2 d7c5 h2h4 f8e8 f3e1 h7h5", "cp": -56}, {"uci": "a1c1", "rank": 4, "expectation": 0.45264238185691075, "pv_line": "a1c1 d7c5 b2a3 g8f8 d4e2 c5e4 c1c7 c8c7", "cp": -57}, {"uci": "h2h3", "rank": 5, "expectation": 0.45016600268752216, "pv_line": "h2h3 g8f8 g2g3 d7c5 d4e2 f8e8 f3e1 d5b4", "cp": -60}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h2h4: -52cp; Bucket: slight edge\n2. Candidate d4e2: -53cp; Bucket: slight edge\n3. Candidate g2g3: -56cp; Bucket: slight edge\n4. Candidate a1c1: -57cp; Bucket: slight edge\n5. Candidate h2h3: -60cp; Bucket: slight edge\n6. Best: d4e2", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h2h4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h2h4: -52cp; Bucket: slight edge\nCandidate d4e2: -53cp; Bucket: slight edge\nCandidate g2g3: -56cp; Bucket: slight edge\nCandidate a1c1: -57cp; Bucket: slight edge\nCandidate h2h3: -60cp; Bucket: slight edge\nBest: h2h4", "displayed_trace": "Candidate h2h4: -52cp; Bucket: slight edge\nCandidate d4e2: -53cp; Bucket: slight edge\nCandidate g2g3: -56cp; Bucket: slight edge\nCandidate a1c1: -57cp; Bucket: slight edge\nCandidate h2h3: -60cp; Bucket: slight edge\nBest: d4e2", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h2h4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h2h4."}} {"fen": "3r4/p7/2p4k/1p2p1pp/1P6/P3PP1P/2P1K3/3R4 b - 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- 1 32", "side": "white", "legal_moves": ["h6f8", "h6g7", "h6g5", "h6f4", "h6e3", "h6d2", "h6c1", "f2f3", "f2g2", "f2e2", "f2g1", "f2f1", "f2e1", "a1a2", "a1h1", "a1g1", "a1f1", "a1e1", "a1d1", "a1c1", "a1b1", "f7f8q", "f7f8r", "f7f8b", "f7f8n", "a3a4", "b2b3", "b2b4"], "solution_first_move": "f7f8q", "solution_full": ["f7f8q", "h8f8", "h6f8"], "themes": ["advancedPawn", "advantage", "endgame", "promotion", "short"], "rating": 1075, "puzzle_id": "9JbyK"} {"fen": "8/8/8/8/q7/8/1p1q4/1K2k3 b - -", "best_move": "d2c1", "pv_line": "d2c1", "depth": 99, "knodes": 71, "cp": null, "mate": -1, "eval_perspective": "white"} {"fen": "r3k2r/1p3pp1/1Pp2np1/p1Ppq3/8/P3P3/2QN1PPP/R4RK1 b kq - 1 18", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8h7", "h8h6", "h8h5", "h8h4", "h8h3", "h8h2", "e8f8", "e8d8", "e8e7", "e8d7", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "f6g8", "f6h7", "f6d7", "f6h5", "f6g4", "f6e4", "e5b8", "e5e7", "e5c7", "e5e6", "e5d6", "e5h5", "e5g5", "e5f5", "e5f4", "e5e4", "e5d4", "e5g3", "e5e3", "e5c3", "e5h2", "e5b2", "e5a1", "e8g8", "e8c8", "g6g5", "d5d4", "a5a4"], "solution_first_move": "e5h2", "solution_full": ["e5h2"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 742, "puzzle_id": "EMS9W"} {"fen": "r4rk1/ppp5/2nbp1Np/3q2p1/1P1nN3/P2P2PK/1BP2P1P/R2Q1R2 b - - 1 21", "side": "black", "legal_moves": ["g8h7", "g8g7", "g8f7", "f8e8", "f8d8", "f8c8", "f8b8", "f8f7", "f8f6", "f8f5", "f8f4", "f8f3", "f8f2", "a8e8", "a8d8", "a8c8", "a8b8", "d6e7", "d6e5", "d6c5", "d6f4", "d6b4", "d6g3", "c6d8", "c6b8", "c6e7", "c6e5", "c6a5", "c6b4", "d5f5", "d5e5", "d5c5", "d5b5", "d5a5", "d5e4", "d5c4", "d5b3", "d5a2", "d4f5", "d4b5", "d4f3", "d4b3", "d4e2", "d4c2", "b7b6", "a7a6", "h6h5", "e6e5", "g5g4", "b7b5", "a7a5"], "solution_first_move": "d5f5", "solution_full": ["d5f5", "d1g4", "f5g6"], "themes": ["advantage", "fork", "middlegame", "short"], "rating": 1390, "puzzle_id": "8iGH3"} {"fen": "1R6/p6p/2p1k3/2np1p2/P4P1K/4r2P/8/3B4 w - - 0 45", "side": "white", "legal_moves": ["b8h8", "b8g8", "b8f8", "b8e8", "b8d8", "b8c8", "b8a8", "b8b7", "b8b6", "b8b5", "b8b4", "b8b3", "b8b2", "b8b1", "h4h5", "h4g5", "d1h5", "d1g4", "d1f3", "d1b3", "d1e2", "d1c2", "a4a5"], "solution_first_move": "b8e8", "solution_full": ["b8e8", "e6d6", "e8e3"], "themes": ["crushing", "endgame", "short", "skewer"], "rating": 745, "puzzle_id": "E6eBN"} {"fen": "8/3r1k1p/6p1/R3KpP1/7P/4p3/5P2/8 w - -", "source": "stockfish_multipv", "best_move": "f2e3", "candidate_ratings": [{"uci": "f2e3", "rank": 1, "expectation": 0.4950001666600003, "pv_line": "f2e3 d7e7 e5f4 e7e4 f4g3 e4e3 g3f2 e3e4", "cp": -6}, {"uci": "a5a1", "rank": 2, "expectation": 0.20641586532126682, "pv_line": "a5a1 e3f2 a1f1 d7d2 e5f4 f7e6 f4e3 d2b2", "cp": -404}, {"uci": "h4h5", "rank": 3, "expectation": 0.12060995959316716, "pv_line": "h4h5 e3e2 a5a1 e2e1q a1e1 d7e7 e5d5 e7e1", "cp": -596}, {"uci": "e5f4", "rank": 4, "expectation": 0.11711899087578052, "pv_line": "e5f4 e3e2 a5e5 d7e7 e5e7 f7e7 h4h5 g6h5", "cp": -606}, {"uci": "a5a2", "rank": 5, "expectation": 0.09826376903346358, "pv_line": "a5a2 e3e2 a2e2 d7e7 e5d4 e7e2 d4d5 e2e4", "cp": -665}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate f2e3: -6cp; Bucket: equal\n2. Candidate a5a1: -404cp; Bucket: winning\n3. Candidate h4h5: -596cp; Bucket: winning\n4. Candidate e5f4: -606cp; Bucket: decisive\n5. Candidate a5a2: -665cp; Bucket: decisive\n6. Best: a5a1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f2e3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate f2e3: -6cp; Bucket: equal\nCandidate a5a1: -404cp; Bucket: winning\nCandidate h4h5: -596cp; Bucket: winning\nCandidate e5f4: -606cp; Bucket: decisive\nCandidate a5a2: -665cp; Bucket: decisive\nBest: f2e3", "displayed_trace": "Candidate f2e3: -6cp; Bucket: equal\nCandidate a5a1: -404cp; Bucket: winning\nCandidate h4h5: -596cp; Bucket: winning\nCandidate e5f4: -606cp; Bucket: decisive\nCandidate a5a2: -665cp; Bucket: decisive\nBest: a5a1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be f2e3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f2e3."}} {"fen": "r1b1r1k1/pp3ppp/8/2q5/2Pp4/1B1nbQ1P/P5PK/2B2R2 w - 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1 21", "side": "black", "legal_moves": ["d8h8", "d8g8", "d8f8", "d8e8", "c8b8", "c8c7", "c8b7", "a6b7", "a6b6", "a6b5", "a6a5", "a6c4", "a6a4", "a6d3", "a6a3", "a6e2", "a6a2", "a6f1", "f4f7", "f4f6", "f4f5", "f4h4", "f4g4", "f4e4", "f4d4", "f4c4", "f4b4", "f4a4", "f4f3", "f4f2", "h6h5", "g6g5", "c6c5"], "solution_first_move": "f4e4", "solution_full": ["f4e4"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 948, "puzzle_id": "8Iaf2"} {"fen": "r4r1k/2p1bp1p/p1pp1p2/8/4P3/2NQ3q/PP2BP1N/R4RK1 b - - 3 17", "side": "black", "legal_moves": ["h8g8", "h8g7", "f8g8", "f8e8", "f8d8", "f8c8", "f8b8", "a8e8", "a8d8", "a8c8", "a8b8", "a8a7", "e7d8", "h3c8", "h3d7", "h3h6", "h3e6", "h3h5", "h3f5", "h3h4", "h3g4", "h3g3", "h3f3", "h3e3", "h3d3", "h3h2", "h3g2", "h3f1", "h7h6", "f6f5", "d6d5", "c6c5", "a6a5", "h7h5"], "solution_first_move": "f8g8", "solution_full": ["f8g8", "d3g3", "g8g3"], "themes": ["advantage", "kingsideAttack", "middlegame", "short"], "rating": 1096, "puzzle_id": "BPyC1"} {"fen": "rnbqk2r/p1p2ppp/1p3n2/3p4/3P4/P1P2P2/4P1PP/R1BQKBNR w KQkq -", "best_move": "e2e3", "pv_line": "e2e3 e8g8 f1d3 c7c5 g1e2 f8e8 e1g1 c8a6 d3a6 b8a6", "depth": 40, "knodes": 165283, "cp": 6, "mate": null, "eval_perspective": "white"} {"fen": "r1bqk2r/pp1nbp1p/2n1p3/3pP1p1/N2P4/4BN2/PPB2PPP/R2Q1RK1 b kq -", "source": "stockfish_multipv", "best_move": "h7h5", "candidate_ratings": [{"uci": "h7h5", "rank": 1, "expectation": 0.3681875822638983, "pv_line": "h7h5 a4c3 a7a6 d1d2 h8g8 c3e2 d7b6 b2b3", "cp": -162}, {"uci": "d7b6", "rank": 2, "expectation": 0.36741250524238067, "pv_line": "d7b6 a4b6 a7b6 d1d2 e7b4 d2e2 b4e7 a2a3", "cp": -163}, {"uci": "g5g4", "rank": 3, "expectation": 0.36741250524238067, "pv_line": "g5g4 f3e1 f7f5 e1d3 h7h5 a4c3 d7b6 b2b3", "cp": -163}, {"uci": "h7h6", "rank": 4, "expectation": 0.36354745971843366, "pv_line": "h7h6 a4c3 d7b6 f3d2 h6h5 c2d3 c8d7 a1c1", "cp": -168}, {"uci": "c6b4", "rank": 5, "expectation": 0.3574000407172972, "pv_line": "c6b4 c2b3 h7h6 a1c1 d7b6 a4c5 b6d7 a2a3", "cp": -176}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h7h5: -162cp; Bucket: clear advantage\n2. Candidate d7b6: -163cp; Bucket: clear advantage\n3. Candidate g5g4: -163cp; Bucket: clear advantage\n4. Candidate h7h6: -168cp; Bucket: clear advantage\n5. Candidate c6b4: -176cp; Bucket: clear advantage\n6. Best: d7b6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h7h5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h7h5: -162cp; Bucket: clear advantage\nCandidate d7b6: -163cp; Bucket: clear advantage\nCandidate g5g4: -163cp; Bucket: clear advantage\nCandidate h7h6: -168cp; Bucket: clear advantage\nCandidate c6b4: -176cp; Bucket: clear advantage\nBest: h7h5", "displayed_trace": "Candidate h7h5: -162cp; Bucket: clear advantage\nCandidate d7b6: -163cp; Bucket: clear advantage\nCandidate g5g4: -163cp; Bucket: clear advantage\nCandidate h7h6: -168cp; Bucket: clear advantage\nCandidate c6b4: -176cp; Bucket: clear advantage\nBest: d7b6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h7h5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h7h5."}} {"fen": "8/8/7k/8/8/5rr1/8/3K4 b - 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-", "best_move": "g5f6", "pv_line": "g5f6 d7f6 c4e2 c8b7 f3e5 a8c8 e2f3 b7f3 d1f3 c7c5", "depth": 36, "knodes": 45760, "cp": -19, "mate": null, "eval_perspective": "white"} {"fen": "6k1/5pp1/8/3P2P1/4p2P/4PpK1/8/8 b - - 0 48", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "g7g6", "f7f6", "f3f2", "f7f5"], "solution_first_move": "g7g6", "solution_full": ["g7g6", "d5d6", "g8f8", "d6d7", "f8e7", "d7d8q", "e7d8"], "themes": ["crushing", "endgame", "pawnEndgame", "quietMove", "veryLong"], "rating": 2212, "puzzle_id": "8Pwk9"} {"fen": "2rq4/1p3pk1/2p1p3/p7/4Q1n1/2P5/PP3PP1/4RRK1 b - - 1 26", "side": "black", "legal_moves": ["d8h8", "d8g8", "d8f8", "d8e8", "d8e7", "d8d7", "d8c7", "d8f6", "d8d6", "d8b6", "d8g5", "d8d5", "d8h4", "d8d4", "d8d3", "d8d2", "d8d1", "c8b8", "c8a8", "c8c7", "g7h8", "g7g8", "g7f8", "g7h6", "g7f6", "g4h6", "g4f6", "g4e5", "g4e3", "g4h2", "g4f2", "f7f6", "b7b6", "e6e5", "c6c5", "a5a4", "f7f5", "b7b5"], "solution_first_move": "d8h4", "solution_full": ["d8h4", "e4d4", "e6e5", "d4g4", "h4g4"], "themes": ["advantage", "defensiveMove", "endgame", "long"], "rating": 1875, "puzzle_id": "0UGwy"} {"fen": "1br2rk1/ppq2pp1/4Nn1p/3p4/8/1PNQP3/P4PPP/1BR2RK1 b - 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-", "best_move": "g5g6", "pv_line": "g5g6 h8g8 h5g5 g8f8 g6g7 f8g8 g5f4 g8h7 f4e5 h7g8", "depth": 99, "knodes": 21344, "cp": null, "mate": 14, "eval_perspective": "white"} {"fen": "7k/2r3pp/1p1R1p2/1b2p3/4p3/P6P/1B3PP1/6K1 w - - 0 34", "side": "white", "legal_moves": ["d6d8", "d6d7", "d6f6", "d6e6", "d6c6", "d6b6", "d6d5", "d6d4", "d6d3", "d6d2", "d6d1", "b2e5", "b2d4", "b2c3", "b2c1", "b2a1", "g1h2", "g1h1", "h3h4", "a3a4", "g2g3", "f2f3", "g2g4", "f2f4"], "solution_first_move": "d6d8", "solution_full": ["d6d8", "b5e8", "d8e8"], "themes": ["backRankMate", "endgame", "mate", "mateIn2", "short"], "rating": 400, "puzzle_id": "IKuGh"} {"fen": "8/5pQ1/2p1k3/p3p1p1/P1N1Pn2/1P4P1/5qNK/8 b - - 5 48", "side": "black", "legal_moves": ["e6e7", "e6d7", "f4g6", "f4h5", "f4d5", "f4h3", "f4d3", "f4g2", "f4e2", "f2a7", "f2b6", "f2c5", "f2d4", "f2g3", "f2f3", "f2e3", "f2g2", "f2e2", "f2d2", "f2c2", "f2b2", "f2a2", "f2g1", "f2f1", "f2e1", "f7f6", "c6c5", "g5g4", "f7f5"], "solution_first_move": "f2g2", "solution_full": ["f2g2"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove"], "rating": 1089, "puzzle_id": "Bhxxl"} {"fen": "4r1k1/ppR2pp1/1n5p/5qB1/1P1p4/PQ1P2P1/5PBP/6K1 b - 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- 0 18", "side": "white", "legal_moves": ["f3g5", "f3h4", "f3d2", "f3e1", "d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e3", "d3c3", "d3b3", "d3e2", "d3d2", "d3c2", "d3d1", "g1h1", "f1e1", "f1d1", "c1c6", "c1c5", "c1c4", "c1c3", "c1c2", "c1e1", "c1d1", "b1c2", "b1a2", "e5f6", "d4d5", "a3a4", "h2h3", "g2g3", "b2b3", "h2h4", "g2g4", "b2b4"], "solution_first_move": "d3h7", "solution_full": ["d3h7"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 1150, "puzzle_id": "DnlV4"} {"fen": "3r3k/1p3pp1/p3pq1p/8/P5P1/2RB1N2/1P4KP/2R5 b - - 3 29", "side": "black", "legal_moves": ["h8g8", "d8g8", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "d8d4", "d8d3", "f6e7", "f6g6", "f6g5", "f6f5", "f6e5", "f6h4", "f6f4", "f6d4", "f6f3", "f6c3", "g7g6", "b7b6", "h6h5", "e6e5", "a6a5", "g7g5", "b7b5"], "solution_first_move": "d8d3", "solution_full": ["d8d3", "c3d3", "f6b2", "d3d2", "b2c1"], "themes": ["advantage", "endgame", "fork", "long", "skewer"], "rating": 1272, "puzzle_id": "EU5cO"} {"fen": "rnbqk2r/ppp2p1p/3p1n2/8/3PP3/2N2Np1/PPP4P/R2QKB1R w KQkq -", "best_move": "d1d2", "pv_line": "d1d2 g3h2 e1c1 c8e6 d1e1 b8d7 d2h2 h7h5 f1h3 f6g4", "depth": 41, "knodes": 910639, "cp": 221, "mate": null, "eval_perspective": "white"} {"fen": "1r2k2r/1q1bppb1/p2p1np1/7p/2Q1P2P/PN2BP2/1PP1B1P1/1K1R3R b k - 10 19", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8h7", "h8h6", "e8f8", "e8d8", "b8d8", "b8c8", "b8a8", "g7f8", "g7h6", "d7c8", "d7e6", "d7c6", "d7f5", "d7b5", "d7g4", "d7a4", "d7h3", "b7c8", "b7a8", "b7c7", "b7a7", "b7c6", "b7b6", "b7d5", "b7b5", "b7e4", "b7b4", "b7b3", "f6g8", "f6h7", "f6d5", "f6g4", "f6e4", "e8g8", "e7e6", "g6g5", "d6d5", "a6a5", "e7e5"], "solution_first_move": "d7b5", "solution_full": ["d7b5", "c4b4", "b5e2", "b4b7", "b8b7"], "themes": ["advantage", "long", "middlegame", "skewer"], "rating": 1999, "puzzle_id": "FwRqh"} {"fen": "8/5p2/p3b3/Pp2k1PB/1P6/4K3/8/8 b - -", "best_move": "e5f5", "pv_line": "e5f5 h5f3 e6c8 f3d5 f5g5 d5f7 g5f6 f7h5 f6e5 h5f3", "depth": 72, "knodes": 86819, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "r2qr1k1/1pp1np2/p2pb2Q/2bNp1n1/2B1P2P/3P4/PPP2PP1/R4RK1 w - - 0 15", "side": "white", "legal_moves": ["h6h8", "h6f8", "h6h7", "h6g7", "h6g6", "h6f6", "h6e6", "h6h5", "h6g5", "d5e7", "d5c7", "d5f6", "d5b6", "d5f4", "d5b4", "d5e3", "d5c3", "c4a6", "c4b5", "c4b3", "g1h2", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "a1e1", "a1d1", "a1c1", "a1b1", "h4g5", "h4h5", "d3d4", "g2g3", "c2c3", "b2b3", "a2a3", "g2g4", "b2b4", "a2a4"], "solution_first_move": "d5f6", "solution_full": ["d5f6"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 1221, "puzzle_id": "JpGCU"} {"fen": "r2r2k1/p1p1qppp/2p1bn2/4R1B1/4N3/4Q3/PPP2PPP/2KR4 b - - 4 15", "side": "black", "legal_moves": ["g8h8", "g8f8", "d8f8", "d8e8", "d8c8", "d8b8", "d8d7", "d8d6", "d8d5", "d8d4", "d8d3", "d8d2", "d8d1", "a8c8", "a8b8", "e7f8", "e7e8", "e7d7", "e7d6", "e7c5", "e7b4", "e7a3", "f6e8", "f6d7", "f6h5", "f6d5", "f6g4", "f6e4", "e6c8", "e6d7", "e6f5", "e6d5", "e6g4", "e6c4", "e6h3", "e6b3", "e6a2", "h7h6", "g7g6", "a7a6", "c6c5", "h7h5", "a7a5"], "solution_first_move": "d8d1", "solution_full": ["d8d1", "c1d1", "e6g4", "d1c1", "e7e5", "e4f6", "g7f6", "e3e5", "f6e5"], "themes": ["attraction", "crushing", "discoveredAttack", "middlegame", "veryLong"], "rating": 2035, "puzzle_id": "2ICiJ"} {"fen": "rn1q1rk1/4bppp/3pbn2/3Np3/pp2P1P1/3BBQ1P/PPPN1P2/2KR3R b - -", "best_move": "f6d5", "pv_line": "f6d5 e4d5 e6c8 h3h4 b8d7 h4h5 d8c7 d2e4 c8a6 c1b1", "depth": 30, "knodes": 12081, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "q5k1/6pp/4p3/r2p4/6Q1/p6P/5PP1/R5K1 w - - 0 48", "side": "white", "legal_moves": ["g4g7", "g4g6", "g4e6", "g4h5", "g4g5", "g4f5", "g4h4", "g4f4", "g4e4", "g4d4", "g4c4", "g4b4", "g4a4", "g4g3", "g4f3", "g4e2", "g4d1", "g1h2", "g1h1", "g1f1", "a1a3", "a1a2", "a1f1", "a1e1", "a1d1", "a1c1", "a1b1", "h3h4", "g2g3", "f2f3", "f2f4"], "solution_first_move": "g4e6", "solution_full": ["g4e6", "g8h8", "a1c1", "a8d8", "c1c8", "a5a8", "c8d8"], "themes": ["advantage", "endgame", "pin", "quietMove", "veryLong"], "rating": 2122, "puzzle_id": "3ZLai"} {"fen": "6k1/3K1pp1/5pp1/3N4/8/R7/6r1/8 w - 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- 0 18", "side": "white", "legal_moves": ["e4f6", "e4d6", "e4g5", "e4c5", "e4g3", "e4c3", "e4d2", "b3b6", "b3b5", "b3c4", "b3b4", "b3a4", "b3h3", "b3g3", "b3f3", "b3e3", "b3d3", "b3c3", "b3a3", "b3c2", "g1h1", "f1e1", "d1d4", "d1d3", "d1d2", "d1e1", "d1c1", "d1b1", "d1a1", "h2h3", "g2g3", "f2f3", "a2a3", "h2h4", "g2g4", "f2f4", "a2a4"], "solution_first_move": "e4f6", "solution_full": ["e4f6", "g8g7", "f6d7"], "themes": ["crushing", "fork", "middlegame", "short"], "rating": 725, "puzzle_id": "HOcHC"} {"fen": "6k1/5ppp/p7/n2r4/8/4P3/1q3PPP/2RR2K1 w - - 0 26", "side": "white", "legal_moves": ["g1h1", "g1f1", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "c1c8", "c1c7", "c1c6", "c1c5", "c1c4", "c1c3", "c1c2", "c1b1", "c1a1", "e3e4", "h2h3", "g2g3", "f2f3", "h2h4", "g2g4", "f2f4"], "solution_first_move": "c1c8", "solution_full": ["c1c8", "d5d8", "d1d8"], "themes": ["backRankMate", "endgame", "mate", "mateIn2", "short"], "rating": 1092, "puzzle_id": "H3T5m"} {"fen": "4r1k1/2qn1ppp/p2Q1b2/5P2/5B2/1P3R2/P1r3PP/3R3K w - - 2 27", "side": "white", "legal_moves": ["d6f8", "d6e7", "d6d7", "d6c7", "d6f6", "d6e6", "d6c6", "d6b6", "d6a6", "d6e5", "d6d5", "d6c5", "d6d4", "d6b4", "d6d3", "d6a3", "d6d2", "f4h6", "f4g5", "f4e5", "f4g3", "f4e3", "f4d2", "f4c1", "f3h3", "f3g3", "f3e3", "f3d3", "f3c3", "f3f2", "f3f1", "h1g1", "d1d5", "d1d4", "d1d3", "d1d2", "d1g1", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "b3b4", "h2h3", "g2g3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "d6c7", "solution_full": ["d6c7", "c2c7", "f4c7"], "themes": ["advantage", "master", "masterVsMaster", "middlegame", "short"], "rating": 1820, "puzzle_id": "JE68J"} {"fen": "6k1/6P1/8/r4NK1/8/8/8/8 b - -", "source": "stockfish_multipv", "best_move": "a5a4", "candidate_ratings": [{"uci": "a5a4", "rank": 1, "expectation": 0.5074994375506203, "pv_line": "a5a4 g5f6 a4a6 f6e7 a6b6 f5d6 g8g7 d6f5", "cp": 9}, {"uci": "a5a6", "rank": 2, "expectation": 0.5074994375506203, "pv_line": "a5a6 g5f4 a6e6 f4g5 g8f7 g5f4 e6g6 f4e5", "cp": 9}, {"uci": "a5a3", "rank": 3, "expectation": 0.5074994375506203, "pv_line": "a5a3 g5f6 a3a6 f6e5 g8f7 f5d6 f7g7 e5e6", "cp": 9}, {"uci": "g8f7", "rank": 4, "expectation": 0.5074994375506203, "pv_line": "g8f7 g5f4 a5a6 f4e5 a6e6 e5d5 e6g6 g7g8q", "cp": 9}, {"uci": "a5a8", "rank": 5, "expectation": 0.5066662716330296, "pv_line": "a5a8 g5f6 a8a6 f6e5 g8f7 f5d6 f7g7 e5e6", "cp": 8}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate a5a4: +9cp; Bucket: equal\n2. Candidate a5a6: +9cp; Bucket: equal\n3. Candidate a5a3: +9cp; Bucket: equal\n4. Candidate g8f7: +9cp; Bucket: equal\n5. Candidate a5a8: +8cp; Bucket: equal\n6. Best: a5a6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a5a4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate a5a4: +9cp; Bucket: equal\nCandidate a5a6: +9cp; Bucket: equal\nCandidate a5a3: +9cp; Bucket: equal\nCandidate g8f7: +9cp; Bucket: equal\nCandidate a5a8: +8cp; Bucket: equal\nBest: a5a4", "displayed_trace": "Candidate a5a4: +9cp; Bucket: equal\nCandidate a5a6: +9cp; Bucket: equal\nCandidate a5a3: +9cp; Bucket: equal\nCandidate g8f7: +9cp; Bucket: equal\nCandidate a5a8: +8cp; Bucket: equal\nBest: a5a6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be a5a4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a5a4."}} {"fen": "r1q1kb1r/pp3pp1/2n1pn1p/3p1b2/3P1B2/1QP2N2/PP1NBPPP/R3K2R w KQkq -", "best_move": "a2a4", "pv_line": "a2a4 f6h5 f4e5 f8e7 h2h3 h5f6 e1g1 e8g8 e5g3 a7a5", "depth": 36, "knodes": 126823, "cp": 4, "mate": null, "eval_perspective": "white"} {"fen": "r4k2/p3p1b1/q2pBrQ1/1pp5/4P3/2PP4/PP3P2/1K5R w - - 3 25", "side": "white", "legal_moves": ["g6e8", "g6h7", "g6g7", "g6f7", "g6h6", "g6f6", "g6h5", "g6g5", "g6f5", "g6g4", "g6g3", "g6g2", "g6g1", "e6g8", "e6c8", "e6f7", "e6d7", "e6f5", "e6d5", "e6g4", "e6c4", "e6h3", "e6b3", "h1h8", "h1h7", "h1h6", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "h1c1", "b1c2", "b1c1", "b1a1", "e4e5", "d3d4", "c3c4", "f2f3", "b2b3", "a2a3", "f2f4", "b2b4", "a2a4"], "solution_first_move": "h1h8", "solution_full": ["h1h8", "g7h8", "g6g8"], "themes": ["mate", "mateIn2", "middlegame", "sacrifice", "short"], "rating": 1359, "puzzle_id": "AHNPg"} {"fen": "2k5/ppp3p1/7p/8/5P2/5B2/PPr2rn1/3R2KR w - - 0 26", "side": "white", "legal_moves": ["f3b7", "f3c6", "f3h5", "f3d5", "f3g4", "f3e4", "f3g2", "f3e2", "h1h6", "h1h5", "h1h4", "h1h3", "h1h2", "g1h2", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "f4f5", "b2b3", "a2a3", "b2b4", "a2a4"], "solution_first_move": "f3g4", "solution_full": ["f3g4", "c8b8", "d1d8"], "themes": ["backRankMate", "endgame", "mate", "mateIn2", "short"], "rating": 1082, "puzzle_id": "JdH0L"} {"fen": "r1bqk2r/pp1nbppp/2p1pn2/3p4/2PP4/P3PN2/1P1N1PPP/R1BQKB1R w KQkq -", "best_move": "f1d3", "pv_line": "f1d3 e8g8 e1g1 b7b6 d1e2 c8b7 b2b3 c6c5 c1b2 a8c8", "depth": 32, "knodes": 43005, "cp": 8, "mate": null, "eval_perspective": "white"} {"fen": "r1bqkbnr/pp3ppp/2n1p3/2pP4/2BP4/5N2/PPP2PPP/RNBQK2R b KQkq -", "source": "stockfish_multipv", "best_move": "e6d5", "candidate_ratings": [{"uci": "e6d5", "rank": 1, "expectation": 0.5033332839514952, "pv_line": "e6d5 c4b5 g8f6 e1g1 f8d6 f1e1 c8e6 b1d2", "cp": 4}, {"uci": "c6d4", "rank": 2, "expectation": 0.3444934240269393, "pv_line": "c6d4 f3d4 c5d4 d1d4 e6d5 c4b5 c8d7 d4d5", "cp": -193}, {"uci": "c6e7", "rank": 3, "expectation": 0.29386900336454197, "pv_line": "c6e7 d5e6 c8e6 c4e6 f7e6 e1g1 c5d4 c2c3", "cp": -263}, {"uci": "c6b4", "rank": 4, "expectation": 0.27621130262018895, "pv_line": "c6b4 d5e6 c8e6 c4e6 f7e6 e1g1 f8e7 c2c3", "cp": -289}, {"uci": "c6a5", "rank": 5, "expectation": 0.27157097593884777, "pv_line": "c6a5 c4b5 c8d7 d1e2 a7a6 b5d7 d8d7 c1d2", "cp": -296}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e6d5: +4cp; Bucket: equal\n2. Candidate c6d4: -193cp; Bucket: clear advantage\n3. Candidate c6e7: -263cp; Bucket: clear advantage\n4. Candidate c6b4: -289cp; Bucket: clear advantage\n5. Candidate c6a5: -296cp; Bucket: clear advantage\n6. Best: c6d4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e6d5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e6d5: +4cp; Bucket: equal\nCandidate c6d4: -193cp; Bucket: clear advantage\nCandidate c6e7: -263cp; Bucket: clear advantage\nCandidate c6b4: -289cp; Bucket: clear advantage\nCandidate c6a5: -296cp; Bucket: clear advantage\nBest: e6d5", "displayed_trace": "Candidate e6d5: +4cp; Bucket: equal\nCandidate c6d4: -193cp; Bucket: clear advantage\nCandidate c6e7: -263cp; Bucket: clear advantage\nCandidate c6b4: -289cp; Bucket: clear advantage\nCandidate c6a5: -296cp; Bucket: clear advantage\nBest: c6d4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e6d5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e6d5."}} {"fen": "3r2k1/5pp1/bp3q1p/2pBpP2/2P5/P3P2P/2Q3PK/5R2 b - -", "source": "stockfish_multipv", "best_move": "d8d5", "candidate_ratings": [{"uci": "d8d5", "rank": 1, "expectation": 0.7471242672706695, "pv_line": "d8d5 c2a4 b6b5 c4b5 a6b7 a4a7 d5d7 a7c5", "cp": 325}, {"uci": "e5e4", "rank": 2, "expectation": 0.4766835901961499, "pv_line": "e5e4 f1f4 b6b5 c4b5 d8d5 b5a6 f6a6 c2e4", "cp": -28}, {"uci": "a6c8", "rank": 3, "expectation": 0.4650570548417855, "pv_line": "a6c8 e3e4 g7g6 f1f3 g6f5 e4f5 c8d7 c2b2", "cp": -42}, {"uci": "d8b8", "rank": 4, "expectation": 0.46174159544398685, "pv_line": "d8b8 a3a4 a6b7 e3e4 b7c6 f1b1 c6d5 c4d5", "cp": -46}, {"uci": "g8h7", "rank": 5, "expectation": 0.4435747105505899, "pv_line": "g8h7 e3e4 d8b8 c2a4 b6b5 a4b3 b5b4 b3a4", "cp": -68}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "8/8/2K2k2/8/3n4/1Q6/8/8 w - -", "best_move": "c6c5", "pv_line": "c6c5 d4b3 c5c4 f6e5 c4b3 e5d5 b3c3 d5e4 c3b4 e4f4", "depth": 38, "knodes": 1025, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "rnb1k2r/ppp2ppp/3b4/3p4/3P2nq/3BB2P/PPPQNPP1/RN2K2R b KQkq -", "source": "stockfish_multipv", "best_move": "g4e3", "candidate_ratings": [{"uci": "g4e3", "rank": 1, "expectation": 0.51499550161941, "pv_line": "g4e3 d2e3 h4e7 b1d2 e8g8 c2c4 d5c4 d2c4", "cp": 18}, {"uci": "e8g8", "rank": 2, "expectation": 0.41905189485154154, "pv_line": "e8g8 g2g3 h4h5 e3f4 d6f4 d2f4 c7c5 f4f3", "cp": -98}, {"uci": "b8c6", "rank": 3, "expectation": 0.38698582386066455, "pv_line": "b8c6 g2g3 h4h5 e3f4 e8g8 f4d6 c7d6 f2f3", "cp": -138}, {"uci": "c8d7", "rank": 4, "expectation": 0.3697397770822487, "pv_line": "c8d7 g2g3 h4h5 e3f4 b8c6 b1c3 e8g8 f4d6", "cp": -160}, {"uci": "c7c6", "rank": 5, "expectation": 0.3620063293390162, "pv_line": "c7c6 g2g3 h4h5 e3f4 d6f4 e2f4 h5h6 e1g1", "cp": -170}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate g4e3: +18cp; Bucket: equal\n2. Candidate e8g8: -98cp; Bucket: slight edge\n3. Candidate b8c6: -138cp; Bucket: slight edge\n4. Candidate c8d7: -160cp; Bucket: clear advantage\n5. Candidate c7c6: -170cp; Bucket: clear advantage\n6. Best: e8g8", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g4e3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate g4e3: +18cp; Bucket: equal\nCandidate e8g8: -98cp; Bucket: slight edge\nCandidate b8c6: -138cp; Bucket: slight edge\nCandidate c8d7: -160cp; Bucket: clear advantage\nCandidate c7c6: -170cp; Bucket: clear advantage\nBest: g4e3", "displayed_trace": "Candidate g4e3: +18cp; Bucket: equal\nCandidate e8g8: -98cp; Bucket: slight edge\nCandidate b8c6: -138cp; Bucket: slight edge\nCandidate c8d7: -160cp; Bucket: clear advantage\nCandidate c7c6: -170cp; Bucket: clear advantage\nBest: e8g8", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be g4e3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g4e3."}} {"fen": "4r3/5pk1/6p1/Qpp4p/3q3P/1B3P2/1P4P1/1K2r2R w - - 1 29", "side": "white", "legal_moves": ["b1c2", "b1a2", "a5e1", "b3d1", "h1e1"], "solution_first_move": "h1e1", "solution_full": ["h1e1", "e8e1", "a5e1"], "themes": ["advantage", "endgame", "short"], "rating": 1107, "puzzle_id": "3McuG"} {"fen": "3B4/4p3/r1kp1p2/bPp1P1p1/Bp1P1PPp/p6P/PP1K4/8 b - -", "best_move": "c6b7", "pv_line": "c6b7 b5a6 b7a6 d8a5 a6a5 e5f6 e7f6 f4g5 f6g5 a4b3", "depth": 30, "knodes": 38792, "cp": 568, "mate": null, "eval_perspective": "white"} {"fen": "2k2r1r/ppp3p1/4p3/5Pp1/3Bp3/4R2P/PP4q1/RN1QK3 b Q - 1 21", "side": "black", "legal_moves": ["h8g8", "h8h7", "h8h6", "h8h5", "h8h4", "h8h3", "f8g8", "f8e8", "f8d8", "f8f7", "f8f6", "f8f5", "c8d8", "c8b8", "c8d7", "g2g4", "g2h3", "g2g3", "g2f3", "g2h2", "g2f2", "g2e2", "g2d2", "g2c2", "g2b2", "g2h1", "g2g1", "g2f1", "e6f5", "g7g6", "c7c6", "b7b6", "a7a6", "e6e5", "g5g4", "c7c5", "b7b5", "a7a5"], "solution_first_move": "f8f5", "solution_full": ["f8f5", "d1e2", "g2g1"], "themes": ["crushing", "middlegame", "short"], "rating": 2079, "puzzle_id": "IPhzp"} {"fen": "r2q3k/1p6/1b1p1pp1/p3pN2/P7/2P5/3Q1PK1/8 w - - 0 32", "side": "white", "legal_moves": ["f5g7", "f5e7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "g2h3", "g2g3", "g2f3", "g2h2", "g2h1", "g2g1", "g2f1", "d2h6", "d2d6", "d2g5", "d2d5", "d2f4", "d2d4", "d2e3", "d2d3", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2d1", "d2c1", "c3c4", "f2f3", "f2f4"], "solution_first_move": "d2h6", "solution_full": ["d2h6", "h8g8", "h6g7"], "themes": ["endgame", "mate", "mateIn2", "short"], "rating": 943, "puzzle_id": "9iuWj"} {"fen": "r4rk1/pp1bppbp/6p1/2p4q/P4P2/3BB2P/1P1Q2P1/R4RK1 w - - 0 19", "side": "white", "legal_moves": ["e3c5", "e3d4", "e3f2", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3b1", "d2a5", "d2b4", "d2c3", "d2f2", "d2e2", "d2c2", "d2e1", "d2d1", "d2c1", "g1h2", "g1f2", "g1h1", "f1f3", "f1f2", "f1e1", "f1d1", "f1c1", "f1b1", "a1a3", "a1a2", "a1e1", "a1d1", "a1c1", "a1b1", "f4f5", "a4a5", "h3h4", "g2g3", "b2b3", "g2g4", "b2b4"], "solution_first_move": "d3e2", "solution_full": ["d3e2", "h5f5", "e2g4", "f5e4", "g4d7"], "themes": ["advantage", "long", "middlegame", "skewer"], "rating": 1801, "puzzle_id": "6KYsU"} {"fen": "8/8/8/p1pk4/1p3P2/1P1K4/P7/8 w - - 0 51", "side": "white", "legal_moves": ["d3e3", "d3e2", "d3d2", "d3c2", "f4f5", "a2a3", "a2a4"], "solution_first_move": "f4f5", "solution_full": ["f4f5", "c5c4", "b3c4"], "themes": ["endgame", "master"], "rating": 1432, "puzzle_id": "08iFu"} {"fen": "7R/2Bp1Q2/5b2/2pB1kpp/8/6PK/1r5P/8 b - - 0 34", "side": "black", "legal_moves": ["b2b8", "b2b7", "b2b6", "b2b5", "b2b4", "b2b3", "b2h2", "b2g2", "b2f2", "b2e2", "b2d2", "b2c2", "b2a2", "b2b1", "d7d6", "h5h4", "g5g4", "c5c4"], "solution_first_move": "g5g4", "solution_full": ["g5g4"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove"], "rating": 1005, "puzzle_id": "BWkwe"} {"fen": "r5k1/p4p1p/4NRp1/3b4/3P3P/2R5/P5rq/2Q2K2 w - - 2 28", "side": "white", "legal_moves": ["f6f7", "f6g6", "f6f5", "f6f4", "f6f3", "f6f2", "e6f8", "e6d8", "e6g7", "e6c7", "e6g5", "e6c5", "e6f4", "c3c8", "c3c7", "c3c6", "c3c5", "c3c4", "c3h3", "c3g3", "c3f3", "c3e3", "c3d3", "c3b3", "c3a3", "c3c2", "f1e1", "c1h6", "c1g5", "c1f4", "c1e3", "c1a3", "c1d2", "c1c2", "c1b2", "c1e1", "c1d1", "c1b1", "c1a1", "h4h5", "a2a3", "a2a4"], "solution_first_move": "c3c8", "solution_full": ["c3c8", "a8c8", "c1c8"], "themes": ["mate", "mateIn2", "middlegame", "short"], "rating": 1148, "puzzle_id": "E75Tl"} {"fen": "3qr2k/r5p1/1p1p1pQp/pPpNn2B/P1PnP3/3P3P/R5P1/5RK1 w - 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- 12 16", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "d8g8", "d8f8", "d8e8", "d8c8", "b8c8", "b8a8", "d7f8", "d7f6", "d7b6", "d7c5", "g6h5", "g6f5", "g6e4", "d6f8", "d6e7", "d6c5", "d6b4", "e5e8", "e5e7", "e5f6", "e5e6", "e5h5", "e5g5", "e5f5", "e5d5", "e5c5", "e5b5", "e5a5", "e5f4", "e5e4", "e5d4", "e5g3", "e5e3", "e5h2", "d3c5", "d3f4", "d3b4", "d3f2", "d3b2", "d3e1", "d3c1", "h7h6", "f7f6", "c7c6", "b7b6", "a7a6", "h7h5", "f7f5", "c7c5", "b7b5", "a7a5"], "solution_first_move": "e5h2", "solution_full": ["e5h2"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 584, "puzzle_id": "5XFnn"} {"fen": "4R3/8/8/2k5/8/4K3/8/7r b - - 20 75", "side": "black", "legal_moves": ["c5d6", "c5c6", "c5b6", "c5d5", "c5b5", "c5c4", "c5b4", "h1h8", "h1h7", "h1h6", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "h1c1", "h1b1", "h1a1"], "solution_first_move": "h1e1", "solution_full": ["h1e1", "e3f4", "e1e8"], "themes": ["crushing", "endgame", "master", "rookEndgame", "short", "skewer"], "rating": 827, "puzzle_id": "0mBui"} {"fen": "6k1/5p1p/2p2p2/Q4Rp1/P2P4/1p5q/1P2rP2/6K1 w - - 0 37", "side": "white", "legal_moves": ["f5f6", "f5g5", "f5e5", "f5d5", "f5c5", "f5b5", "f5f4", "f5f3", "a5d8", "a5a8", "a5c7", "a5a7", "a5b6", "a5a6", "a5e5", "a5d5", "a5c5", "a5b5", "a5b4", "a5c3", "a5d2", "a5e1", "d4d5", "f2f3", "f2f4"], "solution_first_move": "a5d8", "solution_full": ["a5d8", "e2e8", "d8e8"], "themes": ["crushing", "endgame", "short"], "rating": 1406, "puzzle_id": "2rOFD"} {"fen": "1r6/8/p2p1k2/1p1P2p1/P3Bb2/1RPK1P2/1P5r/6R1 b - - 0 38", "side": "black", "legal_moves": ["b8h8", "b8g8", "b8f8", "b8e8", "b8d8", "b8c8", "b8a8", "b8b7", "b8b6", "f6g7", "f6f7", "f6e7", "f6e5", "f4e5", "f4g3", "f4e3", "f4d2", "f4c1", "h2h8", "h2h7", "h2h6", "h2h5", "h2h4", "h2h3", "h2g2", "h2f2", "h2e2", "h2d2", "h2c2", "h2b2", "h2h1", "b5a4", "a6a5", "g5g4", "b5b4"], "solution_first_move": "h2d2", "solution_full": ["h2d2"], "themes": ["endgame", "mate", "mateIn1", "oneMove", "operaMate"], "rating": 752, "puzzle_id": "7aekH"} {"fen": "8/8/8/5B2/8/8/1k2K3/4N3 w - -", "source": "stockfish_multipv", "best_move": "e2d3", "candidate_ratings": [{"uci": "e2d3", "rank": 1, "expectation": 0.7197724832074628, "pv_line": "e2d3 b2b3 d3d4 b3a2 d4c3 a2a3 f5e6 a3a4", "cp": 283}, {"uci": "e2d2", "rank": 2, "expectation": 0.7190996574163839, "pv_line": "e2d2 b2a2 d2c3 a2a3 f5e6 a3a4 c3d4 a4b5", "cp": 282}, {"uci": "e2e3", "rank": 3, "expectation": 0.7170752854929726, "pv_line": "e2e3 b2c3 f5e6 c3b2 e3d3 b2c1 d3c3 c1d1", "cp": 279}, {"uci": "f5e6", "rank": 4, "expectation": 0.7163985353657422, "pv_line": "f5e6 b2c3 e2e3 c3b2 e3d3 b2c1 d3c3 c1d1", "cp": 278}, {"uci": "e1c2", "rank": 5, "expectation": 0.7130001627522816, "pv_line": "e1c2 b2c3 e2e3 c3c4 e3d2 c4b5 f5e6 b5c5", "cp": 273}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "r2r3k/1p1P1Q1p/p2q2p1/3Bb3/P1p5/8/1P4K1/R4R2 w - - 3 30", "side": "white", "legal_moves": ["f7g8", "f7f8", "f7e8", "f7h7", "f7g7", "f7e7", "f7g6", "f7f6", "f7e6", "f7f5", "f7f4", "f7f3", "f7f2", "d5b7", "d5e6", "d5c6", "d5e4", "d5c4", "d5f3", "g2h3", "g2f3", "g2f2", "g2h1", "g2g1", "f1f6", "f1f5", "f1f4", "f1f3", "f1f2", "f1h1", "f1g1", "f1e1", "f1d1", "f1c1", "f1b1", "a1a3", "a1a2", "a1e1", "a1d1", "a1c1", "a1b1", "a4a5", "b2b3", "b2b4"], "solution_first_move": "f1h1", "solution_full": ["f1h1", "h7h5", "h1h5", "g6h5", "f7h5", "h8g7", "h5f7", "g7h6", "a1h1", "e5h2", "h1h2", "d6h2", "g2h2"], "themes": ["crushing", "middlegame", "sacrifice", "veryLong", "xRayAttack"], "rating": 2320, "puzzle_id": "GZs65"} {"fen": "8/ppr2pkp/3Np1p1/3n4/7P/1P3P2/P4P2/3R2K1 w - - 3 27", "side": "white", "legal_moves": ["d6e8", "d6c8", "d6f7", "d6b7", "d6f5", "d6b5", "d6e4", "d6c4", "g1h2", "g1g2", "g1h1", "g1f1", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "h4h5", "f3f4", "b3b4", "a2a3", "a2a4"], "solution_first_move": "d6e8", "solution_full": ["d6e8", "g7f8", "e8c7"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 860, "puzzle_id": "BGSf6"} {"fen": "4r3/p1p4k/3p1p2/1qp2NpP/1r2P1Q1/4R3/P4PP1/R1K5 b - - 4 32", "side": "black", "legal_moves": ["e8h8", "e8g8", "e8f8", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "e8e4", "h7h8", "h7g8", "b5b8", "b5d7", "b5b7", "b5c6", "b5b6", "b5a6", "b5a5", "b5c4", "b5a4", "b5d3", "b5e2", "b5f1", "b4e4", "b4d4", "b4c4", "b4a4", "b4b3", "b4b2", "b4b1", "c7c6", "a7a6", "d6d5", "c5c4", "a7a5"], "solution_first_move": "b4c4", "solution_full": ["b4c4", "c1d1", "b5b2", "d1e1", "b2a1"], "themes": ["clearance", "crushing", "long", "middlegame", "queensideAttack"], "rating": 2406, "puzzle_id": "9KCCo"} {"fen": "8/8/6P1/3pk2K/2p5/R1P5/P7/6r1 b - - 2 49", "side": "black", "legal_moves": ["e5f6", "e5e6", "e5d6", "e5f5", "e5f4", "e5e4", "g1g6", "g1g5", "g1g4", "g1g3", "g1g2", "g1h1", "g1f1", "g1e1", "g1d1", "g1c1", "g1b1", "g1a1", "d5d4"], "solution_first_move": "e5f5", "solution_full": ["e5f5", "h5h6", "g1g6"], "themes": ["crushing", "endgame", "master", "rookEndgame", "short"], "rating": 1903, "puzzle_id": "2bYbk"} {"fen": "r4rk1/ppqbbppp/1nn1p3/3pP3/3P4/P4N2/1PQN1PPP/RBBR2K1 w - - 9 15", "side": "white", "legal_moves": ["f3g5", "f3h4", "f3e1", "d2e4", "d2c4", "d2b3", "d2f1", "c2h7", "c2g6", "c2c6", "c2f5", "c2c5", "c2e4", "c2c4", "c2a4", "c2d3", "c2c3", "c2b3", "g1h1", "g1f1", "d1f1", "d1e1", "b1a2", "a1a2", "a3a4", "h2h3", "g2g3", "b2b3", "h2h4", "g2g4", "b2b4"], "solution_first_move": "c2h7", "solution_full": ["c2h7"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 447, "puzzle_id": "170Qq"} {"fen": "rn1qkb1r/pp2pppp/2p2n2/6N1/2B1N1b1/8/PPPP1PPP/R1BQK2R b KQkq - 4 6", "side": "black", "legal_moves": ["h8g8", "e8d7", "d8c8", "d8d7", "d8c7", "d8d6", "d8b6", "d8d5", "d8a5", "d8d4", "d8d3", "d8d2", "b8d7", "b8a6", "f6g8", "f6d7", "f6h5", "f6d5", "f6e4", "g4c8", "g4d7", "g4e6", "g4h5", "g4f5", "g4h3", "g4f3", "g4e2", "g4d1", "h7h6", "g7g6", "e7e6", "b7b6", "a7a6", "c6c5", "h7h5", "e7e5", "b7b5", "a7a5"], "solution_first_move": "g4d1", "solution_full": ["g4d1", "c4f7", "e8d7", "e4c5", "d7c8"], "themes": ["advantage", "defensiveMove", "long", "opening"], "rating": 1942, "puzzle_id": "0tGVv"} {"fen": "r1b1r2k/ppqn1p2/2pb1p1p/7N/2BP4/2P5/PPQ2PP1/R4R1K w - -", "best_move": "c4f7", "pv_line": "c4f7 e8f8 c2g6 f8f7 g6f7 d7f8 f7f6 h8h7 f1e1 c8g4", "depth": 38, "knodes": 13790, "cp": 143, "mate": null, "eval_perspective": "white"} {"fen": "2b3k1/2b5/1pn5/8/5P2/7P/6P1/4R1K1 w - - 0 35", "side": "white", "legal_moves": ["g1h2", "g1f2", "g1h1", "g1f1", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "f4f5", "h3h4", "g2g3", "g2g4"], "solution_first_move": "e1e8", "solution_full": ["e1e8", "g8f7", "e8c8", "c7f4", "c8c6"], "themes": ["crushing", "endgame", "fork", "long"], "rating": 680, "puzzle_id": "0iFoy"} {"fen": "rnb1kb1r/pp2pppp/2p2n2/7q/P1p5/2N2NP1/1PQPPPBP/R1B1K2R b KQkq -", "source": "stockfish_multipv", "best_move": "b8a6", "candidate_ratings": [{"uci": "b8a6", "rank": 1, "expectation": 0.5646362918030292, "pv_line": "b8a6 b2b3 a6b4 c2b2 c4b3 b2b3 e7e5 a4a5", "cp": 78}, {"uci": "a7a5", "rank": 2, "expectation": 0.5506589147612587, "pv_line": "a7a5 h2h3 b8a6 b2b3 a6b4 c2d1 c4b3 d1b3", "cp": 61}, {"uci": "c8f5", "rank": 3, "expectation": 0.5448788923735801, "pv_line": "c8f5 c2d1 f5h3 e1g1 b8a6 d2d4 c4d3 d1d3", "cp": 54}, {"uci": "e7e5", "rank": 4, "expectation": 0.5366010793535907, "pv_line": "e7e5 h2h3 c8e6 g3g4 h5g6 c2g6 h7g6 f3e5", "cp": 44}, {"uci": "c8e6", "rank": 5, "expectation": 0.5099986668799655, "pv_line": "c8e6 a4a5 b8a6 e1g1 a8d8 f1d1 a6c5 a5a6", "cp": 12}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b8a6: +78cp; Bucket: slight edge\n2. Candidate a7a5: +61cp; Bucket: slight edge\n3. Candidate c8f5: +54cp; Bucket: slight edge\n4. Candidate e7e5: +44cp; Bucket: equal\n5. Candidate c8e6: +12cp; Bucket: equal\n6. Best: a7a5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b8a6.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b8a6: +78cp; Bucket: slight edge\nCandidate a7a5: +61cp; Bucket: slight edge\nCandidate c8f5: +54cp; Bucket: slight edge\nCandidate e7e5: +44cp; Bucket: equal\nCandidate c8e6: +12cp; Bucket: equal\nBest: b8a6", "displayed_trace": "Candidate b8a6: +78cp; Bucket: slight edge\nCandidate a7a5: +61cp; Bucket: slight edge\nCandidate c8f5: +54cp; Bucket: slight edge\nCandidate e7e5: +44cp; Bucket: equal\nCandidate c8e6: +12cp; Bucket: equal\nBest: a7a5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b8a6.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b8a6."}} {"fen": "1k1r4/1p4p1/2p1B3/p2P2Q1/P1P2r2/7P/3q4/2R1R2K b - - 0 42", "side": "black", "legal_moves": ["d8h8", "d8g8", "d8f8", "d8e8", "d8c8", "d8d7", "d8d6", "d8d5", "b8a8", "b8c7", "b8a7", "f4f8", "f4f7", "f4f6", "f4f5", "f4h4", "f4g4", "f4e4", "f4d4", "f4c4", "f4f3", "f4f2", "f4f1", "d2d5", "d2d4", "d2b4", "d2e3", "d2d3", "d2c3", "d2h2", "d2g2", "d2f2", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2d1", "d2c1", "c6d5", "g7g6", "b7b6", "c6c5", "b7b5"], "solution_first_move": "f4f1", "solution_full": ["f4f1", "e1f1", "d2g5"], "themes": ["advantage", "discoveredAttack", "master", "middlegame", "short"], "rating": 1352, "puzzle_id": "1kKW8"} {"fen": "8/8/4B3/1p2Kp2/1Pb2P2/3k4/8/8 b - - 0 64", "side": "black", "legal_moves": ["c4e6", "c4d5", "c4b3", "c4a2", "d3e3", "d3c3", "d3e2", "d3d2", "d3c2"], "solution_first_move": "c4e6", "solution_full": ["c4e6", "e5e6", "d3e4"], "themes": ["bishopEndgame", "crushing", "endgame", "short"], "rating": 1453, "puzzle_id": "GYVhp"} {"fen": "k2r4/pp4Qp/2pbB3/1q6/1P6/2P5/2P2PPP/5RK1 b - - 0 22", "side": "black", "legal_moves": ["d8h8", "d8g8", "d8f8", "d8e8", "d8c8", "d8b8", "d8d7", "a8b8", "d6f8", "d6b8", "d6e7", "d6c7", "d6e5", "d6c5", "d6f4", "d6b4", "d6g3", "d6h2", "b5b6", "b5a6", "b5h5", "b5g5", "b5f5", "b5e5", "b5d5", "b5c5", "b5a5", "b5c4", "b5b4", "b5a4", "b5d3", "b5e2", "b5f1", "h7h6", "b7b6", "a7a6", "c6c5", "h7h5", "a7a5"], "solution_first_move": "d6h2", "solution_full": ["d6h2", "g1h2", "b5f1"], "themes": ["advantage", "deflection", "endgame", "master", "short"], "rating": 1727, "puzzle_id": "Eb1Hv"} {"fen": "8/8/Q7/Pp6/1k6/2p5/5PK1/4r3 b - - 0 44", "side": "black", "legal_moves": ["b4c5", "b4c4", "b4a4", "b4b3", "b4a3", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1h1", "e1g1", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "c3c2"], "solution_first_move": "c3c2", "solution_full": ["c3c2", "a6d6", "b4a4", "d6d4", "b5b4"], "themes": ["advancedPawn", "crushing", "defensiveMove", "endgame", "long", "queenRookEndgame"], "rating": 2317, "puzzle_id": "B0AhE"} {"fen": "K7/1Pk5/2n4p/5p1P/3N1P2/4p3/8/8 b - -", "best_move": "c6b8", "pv_line": "c6b8 d4e6 c7d6 a8b8 e3e2 b8a7 e2e1q b7b8q d6d7 b8d8", "depth": 32, "knodes": 92383, "cp": 917, "mate": null, "eval_perspective": "white"} {"fen": "1k3b1r/p2q1bp1/QB1p1p2/3P4/8/5PPp/PP5P/R4RK1 b - - 0 27", "side": "black", "legal_moves": ["h8g8", "h8h7", "h8h6", "h8h5", "h8h4", "f8e7", "b8a8", "f7g8", "f7e8", "f7g6", "f7e6", "f7h5", "f7d5", "d7e8", "d7d8", "d7c8", "d7e7", "d7c7", "d7b7", "d7e6", "d7c6", "d7f5", "d7b5", "d7g4", "d7a4", "a7b6", "g7g6", "f6f5", "g7g5"], "solution_first_move": "a7b6", "solution_full": ["a7b6", "a6b6", "d7b7"], "themes": ["equality", "middlegame", "short"], "rating": 1717, "puzzle_id": "1WYfy"} {"fen": "2r2r2/p3kp2/1p2pNp1/4P2p/3P4/PqP2QK1/6PP/8 w - - 2 33", "side": "white", "legal_moves": ["f6g8", "f6e8", "f6h7", "f6d7", "f6h5", "f6d5", "f6g4", "f6e4", "g3h4", "g3f4", "g3h3", "g3f2", "f3a8", "f3b7", "f3c6", "f3h5", "f3f5", "f3d5", "f3g4", "f3f4", "f3e4", "f3e3", "f3d3", "f3f2", "f3e2", "f3f1", "f3d1", "d4d5", "c3c4", "a3a4", "h2h3", "h2h4"], "solution_first_move": "f3b7", "solution_full": ["f3b7", "c8c7", "b7c7"], "themes": ["endgame", "mate", "mateIn2", "short"], "rating": 1225, "puzzle_id": "69bUm"} {"fen": "8/3k2pp/3p4/1p1Pp3/p2pP2P/PP3P2/2K3P1/8 b - - 0 26", "side": "black", "legal_moves": ["d7e8", "d7d8", "d7c8", "d7e7", "d7c7", "a4b3", "h7h6", "g7g6", "b5b4", "d4d3", "h7h5", "g7g5"], "solution_first_move": "b5b4", "solution_full": ["b5b4", "a3b4", "a4a3"], "themes": ["crushing", "endgame", "pawnEndgame", "short"], "rating": 2227, "puzzle_id": "5Z1Ex"} {"fen": "R7/P5k1/6p1/8/5P1P/r5K1/8/8 w - -", "best_move": "g3g4", "pv_line": "g3g4 a3a1 h4h5 g6h5 g4h4 a1a5 f4f5 a5a1 f5f6 g7f7", "depth": 38, "knodes": 908, "cp": 528, "mate": null, "eval_perspective": "white"} {"fen": "r5rk/pb2q2p/2p1NpBp/1p1ppP2/3bP3/6QR/P5PP/1N5K w - - 4 24", "side": "white", "legal_moves": ["g6e8", "g6h7", "g6f7", "g6h5", "e6f8", "e6d8", "e6g7", "e6c7", "e6g5", "e6c5", "e6f4", "e6d4", "h3h6", "h3h5", "h3h4", "g3g5", "g3e5", "g3h4", "g3g4", "g3f4", "g3f3", "g3e3", "g3d3", "g3c3", "g3b3", "g3a3", "g3f2", "g3e1", "b1c3", "b1a3", "b1d2", "e4d5", "a2a3", "a2a4"], "solution_first_move": "h3h6", "solution_full": ["h3h6", "g8g6", "f5g6"], "themes": ["crushing", "middlegame", "pin", "short"], "rating": 2330, "puzzle_id": "6PtkX"} {"fen": "8/8/5Qpk/3p3p/1p1Pb2P/4P3/2r5/3K4 w - - 0 40", "side": "white", "legal_moves": ["f6h8", "f6f8", "f6d8", "f6g7", "f6f7", "f6e7", "f6g6", "f6e6", "f6d6", "f6c6", "f6b6", "f6a6", "f6g5", "f6f5", "f6e5", "f6f4", "f6f3", "f6f2", "f6f1", "d1e1"], "solution_first_move": "f6h8", "solution_full": ["f6h8"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove"], "rating": 1582, "puzzle_id": "Dczy9"} {"fen": "rnbqnrk1/pp4p1/2p1pp2/3pB2Q/3P3P/2P1PN2/PP3PP1/R3K2R w KQ - 0 14", "side": "white", "legal_moves": ["h5h8", "h5e8", "h5h7", "h5f7", "h5h6", "h5g6", "h5g5", "h5f5", "h5g4", "e5b8", "e5c7", "e5f6", "e5d6", "e5f4", "e5g3", "e5h2", "f3g5", "f3h2", "f3d2", "f3g1", "h1h3", "h1h2", "h1g1", "h1f1", "e1e2", "e1d2", "e1f1", "e1d1", "a1d1", "a1c1", "a1b1", "e1g1", "e1c1", "e3e4", "c3c4", "g2g3", "b2b3", "a2a3", "g2g4", "b2b4", "a2a4"], "solution_first_move": "f3g5", "solution_full": ["f3g5", "f6g5", "h4g5", "d8g5", "h5g5"], "themes": ["crushing", "long", "middlegame", "sacrifice"], "rating": 1713, "puzzle_id": "EMPji"} {"fen": "3q1rk1/1p3Np1/p5np/4p3/4N1b1/1B2QnP1/PP3P1P/4R1K1 w - - 1 26", "side": "white", "legal_moves": ["g1g2", "g1h1", "g1f1", "e3f3"], "solution_first_move": "e3f3", "solution_full": ["e3f3", "g4f3", "f7d8"], "themes": ["advantage", "discoveredAttack", "discoveredCheck", "master", "middlegame", "short"], "rating": 1938, "puzzle_id": "HQWaj"} {"fen": "2b5/1kp5/p1N5/2QP4/1P5p/p6P/K3q1P1/8 w - -", "best_move": "a2a3", "pv_line": "a2a3 e2d3 a3b2 d3d2 b2b3 d2d3 b3a2 d3d2", "depth": 60, "knodes": 8877, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "rn3rk1/1b3p1p/p3p1p1/1pPqN3/5Q2/2PB4/PP3PPP/R4RK1 b - - 0 16", "side": "black", "legal_moves": ["g8h8", "g8g7", "f8e8", "f8d8", "f8c8", "b8d7", "b8c6", "a8a7", "b7c8", "b7c6", "d5d8", "d5d7", "d5d6", "d5c6", "d5e5", "d5c5", "d5e4", "d5d4", "d5c4", "d5f3", "d5d3", "d5b3", "d5g2", "d5a2", "h7h6", "f7f6", "g6g5", "a6a5", "b5b4", "h7h5", "f7f5"], "solution_first_move": "d5g2", "solution_full": ["d5g2"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 924, "puzzle_id": "4c11D"} {"fen": "2k5/2p2ppp/Pp6/3p1b1n/1p1P3q/5P2/1B1Nr1PP/R1Q4K w - - 0 28", "side": "white", "legal_moves": ["d2e4", "d2c4", "d2b3", "d2f1", "d2b1", "b2c3", "b2a3", "h1g1", "c1c7", "c1c6", "c1c5", "c1c4", "c1c3", "c1c2", "c1g1", "c1f1", "c1e1", "c1d1", "c1b1", "a1a5", "a1a4", "a1a3", "a1a2", "a1b1", "a6a7", "f3f4", "h2h3", "g2g3", "g2g4"], "solution_first_move": "a6a7", "solution_full": ["a6a7", "e2e1", "c1e1", "h4e1", "a1e1"], "themes": ["advancedPawn", "crushing", "long", "middlegame"], "rating": 1098, "puzzle_id": "8wn0x"} {"fen": "r1b2rk1/pp2bppp/n1p1pn2/3p4/3P1B2/P1N1PN2/1qP1BPPP/R2QK2R w KQ -", "source": "stockfish_multipv", "best_move": "c3a4", "candidate_ratings": [{"uci": "c3a4", "rank": 1, "expectation": 0.8324837489783019, "pv_line": "c3a4 b2a1 d1a1 b7b5 a4c3 b5b4 c3a4 b4a3", "cp": 481}, {"uci": "c3a2", "rank": 2, "expectation": 0.35893259366518293, "pv_line": "c3a2 b2a3 e1g1 c6c5 c2c3 c5c4 a2b4 a3c3", "cp": -174}, {"uci": "e3e4", "rank": 3, "expectation": 0.30647169180207895, "pv_line": "e3e4 b2c3 f4d2 c3b2 a1b1 b2a3 b1a1 a3d6", "cp": -245}, {"uci": "e1d2", "rank": 4, "expectation": 0.300833210246896, "pv_line": "e1d2 e7a3 d1b1 b2b4 a1a3 f6e4 d2e1 b4a3", "cp": -253}, {"uci": "c3b5", "rank": 5, "expectation": 0.20751005855963559, "pv_line": "c3b5 c6b5 e1g1 f6e4 a1b1 b2c3 e2b5 c3a3", "cp": -402}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate c3a4: +481cp; Bucket: winning\n2. Candidate c3a2: -174cp; Bucket: clear advantage\n3. Candidate e3e4: -245cp; Bucket: clear advantage\n4. Candidate e1d2: -253cp; Bucket: clear advantage\n5. Candidate c3b5: -402cp; Bucket: winning\n6. Best: c3a2", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c3a4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c3a4: +481cp; Bucket: winning\nCandidate c3a2: -174cp; Bucket: clear advantage\nCandidate e3e4: -245cp; Bucket: clear advantage\nCandidate e1d2: -253cp; Bucket: clear advantage\nCandidate c3b5: -402cp; Bucket: winning\nBest: c3a4", "displayed_trace": "Candidate c3a4: +481cp; Bucket: winning\nCandidate c3a2: -174cp; Bucket: clear advantage\nCandidate e3e4: -245cp; Bucket: clear advantage\nCandidate e1d2: -253cp; Bucket: clear advantage\nCandidate c3b5: -402cp; Bucket: winning\nBest: c3a2", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c3a4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c3a4."}} {"fen": "8/6P1/1k5N/4K3/8/4P3/8/8 b - -", "best_move": "b6c5", "pv_line": "b6c5 g7g8q c5b5 h6f5 b5b4 f5d4 b4c5 g8b8 c5c4 b8b3", "depth": 45, "knodes": 4135, "cp": null, "mate": 6, "eval_perspective": "white"} {"fen": "r4rk1/1pp2pp1/1p1p3B/4p2n/2P1P2q/2P2P1P/PP1Q1P1K/R3R3 b - - 0 17", "side": "black", "legal_moves": ["g8h8", "g8h7", "f8e8", "f8d8", "f8c8", "f8b8", "a8e8", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "a8a5", "a8a4", "a8a3", "a8a2", "h5f6", "h5f4", "h5g3", "h4d8", "h4e7", "h4f6", "h4g5", "h4g4", "h4f4", "h4e4", "h4h3", "h4g3", "h4f2", "g7h6", "g7g6", "f7f6", "c7c6", "d6d5", "b6b5", "g7g5", "f7f5", "c7c5"], "solution_first_move": "g7h6", "solution_full": ["g7h6", "e1g1", "g8h7"], "themes": ["crushing", "defensiveMove", "middlegame", "short"], "rating": 1784, "puzzle_id": "9ZKG0"} {"fen": "6k1/1R4p1/4P2p/1p6/4p3/2n1P2P/r5P1/5K2 w - - 0 39", "side": "white", "legal_moves": ["b7b8", "b7g7", "b7f7", "b7e7", "b7d7", "b7c7", "b7a7", "b7b6", "b7b5", "f1g1", "f1e1", "e6e7", "h3h4", "g2g3", "g2g4"], "solution_first_move": "b7b8", "solution_full": ["b7b8", "g8h7", "e6e7"], "themes": ["advancedPawn", "crushing", "endgame", "master", "short"], "rating": 1668, "puzzle_id": "9ppgQ"} {"fen": "8/R5p1/1p1n3k/8/1P1K4/P6B/1r5P/8 b - 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1 15", "side": "black", "legal_moves": ["g8h6", "g8f6", "e8d8", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "a8a5", "a8a4", "a8a3", "a8a2", "e7f8", "e7d8", "e7f6", "e7d6", "e7g5", "e7c5", "e7h4", "e7b4", "e7a3", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "c3c8", "c3c7", "c3c6", "c3c5", "c3a5", "c3d4", "c3c4", "c3b4", "c3f3", "c3e3", "c3d3", "c3b3", "c3a3", "c3d2", "c3c2", "c3b2", "c3c1", "c3a1", "e8c8", "h7h6", "g7g6", "f7f6", "b7b6", "d5d4", "h7h5", "g7g5", "f7f5"], "solution_first_move": "c3a1", "solution_full": ["c3a1", "e2d1", "e5d7"], "themes": ["crushing", "hangingPiece", "middlegame", "short"], "rating": 1794, "puzzle_id": "61DSy"} {"fen": "2b1rnk1/5R1p/1p4pQ/p2pq1N1/P7/8/5PPP/2R3K1 b - - 1 30", "side": "black", "legal_moves": ["g8h8", "f8d7", "f8e6", "e8d8", "e8e7", "e8e6", "c8d7", "c8b7", "c8e6", "c8a6", "c8f5", "c8g4", "c8h3", "e5h8", "e5b8", "e5g7", "e5e7", "e5c7", "e5f6", "e5e6", "e5d6", "e5g5", "e5f5", "e5f4", "e5e4", "e5d4", "e5g3", "e5e3", "e5c3", "e5h2", "e5e2", "e5b2", "e5e1", "e5a1", "b6b5", "d5d4"], "solution_first_move": "e5e1", "solution_full": ["e5e1", "c1e1", "e8e1"], "themes": ["backRankMate", "mate", "mateIn2", "middlegame", "sacrifice", "short"], "rating": 615, "puzzle_id": "E7Xgs"} {"fen": "r2qkb1r/ppp3pp/5n2/5p2/3P4/2N3P1/PP3PBP/n1BQ1RK1 w kq -", "source": "stockfish_multipv", "best_move": "g2b7", "candidate_ratings": [{"uci": "g2b7", "rank": 1, "expectation": 0.5357721111140789, "pv_line": "g2b7 a8b8 f1e1 e8f7 b7a6 f8d6 a6c4 f7g6", "cp": 43}, {"uci": "f1e1", "rank": 2, "expectation": 0.5116645498437119, "pv_line": "f1e1 e8f7 g2b7 a8b8 b7a6 f8d6 a6c4 f7g6", "cp": 14}, {"uci": "d1e2", "rank": 3, "expectation": 0.5108316384355474, "pv_line": "d1e2 e8f7 g2b7 a8b8 b7a6 f8d6 a6c4 f7g6", "cp": 13}, {"uci": "c1g5", "rank": 4, "expectation": 0.5016666604938546, "pv_line": "c1g5 f8e7 g2b7 a8b8 b7c6 e8f7 d1a1 d8d4", "cp": 2}, {"uci": "d1d3", "rank": 5, "expectation": 0.4950001666600003, "pv_line": "d1d3 c7c6 d4d5 d8d7 d3c4 a8c8 d5c6 c8c6", "cp": -6}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "2kr3r/ppp1npp1/4b2p/3q4/3PNbP1/2PB1N1P/PPQ5/1K1R3R b - 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-", "source": "stockfish_multipv", "best_move": "c7b7", "candidate_ratings": [{"uci": "c7b7", "rank": 1, "expectation": 0.505833068687248, "pv_line": "c7b7 a7a6 b5b6 a5b5 f3f4 a6a5 g2g4 a5a4", "cp": 7}, {"uci": "g1h2", "rank": 2, "expectation": 0.5016666604938546, "pv_line": "g1h2 a5b5 c7a7 b5b2 h2g3 h7g6 a7a5 b2b6", "cp": 2}, {"uci": "g1f2", "rank": 3, "expectation": 0.5016666604938546, "pv_line": "g1f2 a5b5 c7a7 b5b2 f2g3 h7g6 a7a5 b2b6", "cp": 2}, {"uci": "g2g4", "rank": 4, "expectation": 0.5016666604938546, "pv_line": "g2g4 a5b5 c7a7 b5b2 f3f4 h7g6 h3h4 g6f6", "cp": 2}, {"uci": "f3f4", "rank": 5, "expectation": 0.5016666604938546, "pv_line": "f3f4 a5b5 g2g4 h7g6 c7a7 b5b2 h3h4 b2b4", "cp": 2}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate c7b7: +7cp; Bucket: equal\n2. Candidate g1h2: +2cp; Bucket: equal\n3. Candidate g1f2: +2cp; Bucket: equal\n4. Candidate g2g4: +2cp; Bucket: equal\n5. Candidate f3f4: +2cp; Bucket: equal\n6. Best: g1h2", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c7b7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c7b7: +7cp; Bucket: equal\nCandidate g1h2: +2cp; Bucket: equal\nCandidate g1f2: +2cp; Bucket: equal\nCandidate g2g4: +2cp; Bucket: equal\nCandidate f3f4: +2cp; Bucket: equal\nBest: c7b7", "displayed_trace": "Candidate c7b7: +7cp; Bucket: equal\nCandidate g1h2: +2cp; Bucket: equal\nCandidate g1f2: +2cp; Bucket: equal\nCandidate g2g4: +2cp; Bucket: equal\nCandidate f3f4: +2cp; Bucket: equal\nBest: g1h2", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c7b7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c7b7."}} {"fen": "5R2/7k/5bpp/8/P3q3/6P1/Q4PKP/3r4 w - - 4 44", "side": "white", "legal_moves": ["g2h3", "f2f3"], "solution_first_move": "f2f3", "solution_full": ["f2f3", "e4d5", "a2d5", "d1d5", "f8f6"], "themes": ["crushing", "endgame", "long"], "rating": 1636, "puzzle_id": "GlFLf"} {"fen": "r5k1/pB5p/1n2r3/2B2p2/8/1P4P1/P3NP1P/6K1 w - 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Candidate d7c5: -297cp; Bucket: clear advantage\n2. Candidate d7e5: -352cp; Bucket: winning\n3. Candidate b8c6: -427cp; Bucket: winning\n4. Candidate h7h5: -430cp; Bucket: winning\n5. Candidate d7b6: -459cp; Bucket: winning\n6. Best: d7e5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d7c5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d7c5: -297cp; Bucket: clear advantage\nCandidate d7e5: -352cp; Bucket: winning\nCandidate b8c6: -427cp; Bucket: winning\nCandidate h7h5: -430cp; Bucket: winning\nCandidate d7b6: -459cp; Bucket: winning\nBest: d7c5", "displayed_trace": "Candidate d7c5: -297cp; Bucket: clear advantage\nCandidate d7e5: -352cp; Bucket: winning\nCandidate b8c6: -427cp; Bucket: winning\nCandidate h7h5: -430cp; Bucket: winning\nCandidate d7b6: -459cp; Bucket: winning\nBest: d7e5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d7c5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d7c5."}} {"fen": "8/p3Pkbp/3B4/3r4/3pp3/1P5P/6P1/3R3K w - 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-", "source": "stockfish_multipv", "best_move": "e7a7", "candidate_ratings": [{"uci": "e7a7", "rank": 1, "expectation": 1.0, "pv_line": "e7a7 b8c8 a7c7", "mate": 2}, {"uci": "e7c7", "rank": 2, "expectation": 1.0, "pv_line": "e7c7 b8a8 c7a7", "mate": 2}, {"uci": "e7d8", "rank": 3, "expectation": 1.0, "pv_line": "e7d8 a6c8 d8c7 b8a8 c7c8", "mate": 3}, {"uci": "e7e5", "rank": 4, "expectation": 1.0, "pv_line": "e7e5 b8a8 e5e8 a6c8 e8c8", "mate": 3}, {"uci": "b6a6", "rank": 5, "expectation": 1.0, "pv_line": "b6a6 b8c8 a6b6 c8b8 e7b7", "mate": 3}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "8/pp3k1p/2p3p1/3p1nK1/3P1BPP/1PP5/P7/8 b - - 0 33", "side": "black", "legal_moves": ["f7g8", "f7f8", "f7e8", "f7g7", "f7e7", "f7e6", "f5g7", "f5e7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "h7h6", "b7b6", "a7a6", "c6c5", "h7h5", "b7b5", "a7a5"], "solution_first_move": "h7h6", "solution_full": ["h7h6"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 931, "puzzle_id": "476WC"} {"fen": "r1k4r/pp1nbppp/2p5/4p3/2b1N3/4BN2/PPP2PPP/2KR3R w - - 1 14", "side": "white", "legal_moves": ["e4f6", "e4d6", "e4g5", "e4c5", "e4g3", "e4c3", "e4d2", "f3g5", "f3e5", "f3h4", "f3d4", "f3d2", "f3g1", "f3e1", "e3a7", "e3h6", "e3b6", "e3g5", "e3c5", "e3f4", "e3d4", "e3d2", "h1g1", "h1f1", "h1e1", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1g1", "d1f1", "d1e1", "c1d2", "c1b1", "h2h3", "g2g3", "c2c3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "d1d7", "solution_full": ["d1d7", "c8d7", "f3e5", "d7e6", "e5c4"], "themes": ["advantage", "attraction", "capturingDefender", "fork", "long", "middlegame"], "rating": 1637, "puzzle_id": "3UkJr"} {"fen": "r3qk1r/pp2ppbp/3p2p1/4n1B1/2BnP3/3Q3P/PP1N1PP1/R4RK1 w - - 2 15", "side": "white", "legal_moves": ["g5e7", "g5h6", "g5f6", "g5h4", "g5f4", "g5e3", "c4f7", "c4e6", "c4a6", "c4d5", "c4b5", "c4b3", "d3d4", "d3g3", "d3f3", "d3e3", "d3c3", "d3b3", "d3a3", "d3e2", "d3c2", "d3b1", "d2f3", "d2b3", "d2b1", "g1h2", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "a1e1", "a1d1", "a1c1", "a1b1", "h3h4", "g2g3", "f2f3", "b2b3", "a2a3", "g2g4", "f2f4", "b2b4", "a2a4"], "solution_first_move": "d3d4", "solution_full": ["d3d4", "e5f3", "d2f3", "g7d4", "f3d4"], "themes": ["advantage", "hangingPiece", "long", "middlegame"], "rating": 1467, "puzzle_id": "BEDmJ"} {"fen": "1r2r3/5p1k/3R3P/p4R2/3B4/2p5/2P5/K7 b - - 0 38", "side": "black", "legal_moves": ["e8h8", "e8g8", "e8f8", "e8d8", "e8c8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "e8e2", "e8e1", "b8d8", "b8c8", "b8a8", "b8b7", "b8b6", "b8b5", "b8b4", "b8b3", "b8b2", "b8b1", "h7g8", "f7f6", "a5a4"], "solution_first_move": "e8e1", "solution_full": ["e8e1", "a1a2", "b8b2", "a2a3", "e1a1"], "themes": ["endgame", "exposedKing", "long", "mate", "mateIn3"], "rating": 920, "puzzle_id": "94mn3"} {"fen": "4k3/8/p1N1P2Q/5p2/2pP2pP/2P3K1/q1r3P1/6R1 b - - 0 48", "side": "black", "legal_moves": ["c2c3", "c2g2", "c2f2", "c2e2", "c2d2", "c2b2", "c2c1", "a2a5", "a2a4", "a2b3", "a2a3", "a2b2", "a2b1", "a2a1", "a6a5", "f5f4"], "solution_first_move": "c2c3", "solution_full": ["c2c3", "g3f4", "a2d2", "f4f5", "d2h6"], "themes": ["crushing", "endgame", "long", "skewer"], "rating": 1760, "puzzle_id": "7aDa1"} {"fen": "4kb1r/5ppp/p1q5/4p1B1/8/8/PP3PPP/3Q2K1 w k - 0 20", "side": "white", "legal_moves": ["g5d8", "g5e7", "g5h6", "g5f6", "g5h4", "g5f4", "g5e3", "g5d2", "g5c1", "g1h1", "g1f1", "d1d8", "d1d7", "d1d6", "d1h5", "d1d5", "d1g4", "d1d4", "d1a4", "d1f3", "d1d3", "d1b3", "d1e2", "d1d2", "d1c2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "h2h3", "g2g3", "f2f3", "b2b3", "a2a3", "h2h4", "g2g4", "f2f4", "b2b4", "a2a4"], "solution_first_move": "d1d8", "solution_full": ["d1d8"], "themes": ["endgame", "master", "masterVsMaster", "mate", "mateIn1", "oneMove"], "rating": 574, "puzzle_id": "6dsQk"} {"fen": "3r1r1k/ppp4p/5ppN/4R3/1P6/2B5/PP4PP/6K1 b - -", "source": "stockfish_multipv", "best_move": "h8g7", "candidate_ratings": [{"uci": "h8g7", "rank": 1, "expectation": 0.6240247388269247, "pv_line": "h8g7 e5e7 g7h6 e7c7 d8b8 h2h4 a7a6 a2a4", "cp": 152}, {"uci": "d8d1", "rank": 2, "expectation": 0.48916836156445265, "pv_line": "d8d1 e5e1 d1e1 c3e1 h8g7 h6g4 g6g5 g1f2", "cp": -13}, {"uci": "d8d7", "rank": 3, "expectation": 0.4021134718376897, "pv_line": "d8d7 e5e6 h8g7 h6g4 d7d1 g1f2 d1d6 e6e7", "cp": -119}, {"uci": "a7a5", "rank": 4, "expectation": 0.27687819487561016, "pv_line": "a7a5 e5a5 h8g7 h6g4 d8d7 a2a4 h7h5 g4f2", "cp": -288}, {"uci": "c7c5", "rank": 5, "expectation": 0.2637308505103769, "pv_line": "c7c5 e5e7 c5b4 c3b4 d8d1 g1f2 d1c1 b4c3", "cp": -308}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h8g7: +152cp; Bucket: clear advantage\n2. Candidate d8d1: -13cp; Bucket: equal\n3. Candidate d8d7: -119cp; Bucket: slight edge\n4. Candidate a7a5: -288cp; Bucket: clear advantage\n5. Candidate c7c5: -308cp; Bucket: winning\n6. Best: d8d1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h8g7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h8g7: +152cp; Bucket: clear advantage\nCandidate d8d1: -13cp; Bucket: equal\nCandidate d8d7: -119cp; Bucket: slight edge\nCandidate a7a5: -288cp; Bucket: clear advantage\nCandidate c7c5: -308cp; Bucket: winning\nBest: h8g7", "displayed_trace": "Candidate h8g7: +152cp; Bucket: clear advantage\nCandidate d8d1: -13cp; Bucket: equal\nCandidate d8d7: -119cp; Bucket: slight edge\nCandidate a7a5: -288cp; Bucket: clear advantage\nCandidate c7c5: -308cp; Bucket: winning\nBest: d8d1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h8g7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h8g7."}} {"fen": "r1br2k1/pp2b1pp/1qn1p3/4P3/3N4/4B1PB/PP1QN2P/R3K2R b KQ -", "best_move": "c6d4", "pv_line": "c6d4 e3d4 e7b4 d4b6 b4d2 e1f2 a7b6 h1d1 a8a5 e2f4", "depth": 45, "knodes": 32224, "cp": -7, "mate": null, "eval_perspective": "white"} {"fen": "8/p7/8/6pp/P7/6Pk/7P/6K1 b - - 0 37", "side": "black", "legal_moves": ["h3g4", "a7a6", "h5h4", "g5g4", "a7a5"], "solution_first_move": "a7a5", "solution_full": ["a7a5", "g1h1", "h3g4", "h1g2", "g4f5"], "themes": ["endgame"], "rating": 2143, "puzzle_id": "5jk05"} {"fen": "rnbqkb1r/1p3ppp/p2p1n2/4p3/3NP3/2N5/PPP2PPP/R1BQKBR1 w Qkq -", "best_move": "d4b3", "pv_line": "d4b3 c8e6 g2g4 d6d5 e4d5 f6d5 c3d5 d8d5 d1d5 e6d5", "depth": 42, "knodes": 3312574, "cp": 12, "mate": null, "eval_perspective": "white"} {"fen": "3r1k2/2p1p1b1/ppnq3r/5P2/P2PB3/2P2Q2/1P4KP/R1B2R2 b - - 0 24", "side": "black", "legal_moves": ["f8g8", "f8e8", "f8f7", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "g7h8", "g7f6", "g7e5", "g7d4", "h6h8", "h6h7", "h6g6", "h6f6", "h6e6", "h6h5", "h6h4", "h6h3", "h6h2", "d6d7", "d6g6", "d6f6", "d6e6", "d6e5", "d6d5", "d6c5", "d6f4", "d6d4", "d6b4", "d6g3", "d6a3", "d6h2", "c6b8", "c6a7", "c6e5", "c6a5", "c6d4", "c6b4", "e7e6", "b6b5", "a6a5", "e7e5"], "solution_first_move": "d6h2", "solution_full": ["d6h2"], "themes": ["master", "masterVsMaster", "mate", "mateIn1", "middlegame", "oneMove", "swallowstailMate"], "rating": 754, "puzzle_id": "6Isrj"} {"fen": "8/8/Q7/3k4/8/4K3/8/1B6 w - -", "best_move": "b1a2", "pv_line": "b1a2 d5c5 a2c4 c5b4 a6b5 b4c3 b5b3", "depth": 99, "knodes": 1769, "cp": null, "mate": 4, "eval_perspective": "white"} {"fen": "6k1/5pp1/q6p/2p5/8/1Q2P2P/r4PP1/3R2K1 w - - 0 34", "side": "white", "legal_moves": ["b3b8", "b3f7", "b3b7", "b3e6", "b3b6", "b3d5", "b3b5", "b3c4", "b3b4", "b3a4", "b3d3", "b3c3", "b3a3", "b3c2", "b3b2", "b3a2", "b3b1", "g1h2", "g1h1", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "h3h4", "e3e4", "g2g3", "f2f3", "g2g4", "f2f4"], "solution_first_move": "d1d8", "solution_full": ["d1d8", "g8h7", "b3f7", "a2a1", "g1h2"], "themes": ["crushing", "deflection", "endgame", "long"], "rating": 1988, "puzzle_id": "3oi0I"} {"fen": "R7/P1P2r2/3K4/6k1/8/8/8/8 w - -", "best_move": "a8g8", "pv_line": "a8g8 g5f4 c7c8q f7f6 d6e7 f6f5 c8c1 f4e4 a7a8q e4d3", "depth": 56, "knodes": 28806, "cp": null, "mate": 8, "eval_perspective": "white"} {"fen": "1r1q3k/p1p4p/1p1p4/3B3p/4P3/3b4/PP4PP/4Q1K1 w - - 0 30", "side": "white", "legal_moves": ["d5g8", "d5a8", "d5f7", "d5b7", "d5e6", "d5c6", "d5c4", "d5b3", "g1f2", "g1h1", "e1a5", "e1h4", "e1b4", "e1g3", "e1e3", "e1c3", "e1f2", "e1e2", "e1d2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "e4e5", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "e1c3", "solution_full": ["e1c3", "d8f6", "c3f6"], "themes": ["endgame", "fork", "mate", "mateIn2", "short"], "rating": 1231, "puzzle_id": "JrJcr"} {"fen": "8/8/4k2p/pp2P1p1/2p1K1P1/P6P/1P6/8 b - - 1 37", "side": "black", "legal_moves": ["e6f7", "e6e7", "e6d7", "h6h5", "b5b4", "a5a4", "c4c3"], "solution_first_move": "b5b4", "solution_full": ["b5b4", "a3b4", "a5b4", "e4d4", "c4c3", "b2c3", "b4c3", "d4c3", "e6e5", "c3d2", "e5f4"], "themes": ["crushing", "endgame", "pawnEndgame", "veryLong"], "rating": 2263, "puzzle_id": "2Mvzj"} {"fen": "rk3N1r/ppp1b2p/2n1Q3/6B1/3p4/8/PPP2PPP/R5K1 w - -", "best_move": "f8d7", "pv_line": "f8d7 b8c8 d7b6 c8b8 e6c8 h8c8 b6d7", "depth": 245, "knodes": 14645, "cp": null, "mate": 4, "eval_perspective": "white"} {"fen": "5B1k/5p2/5Np1/p3P3/P4P1p/7P/Bp4PK/4r3 b - - 7 45", "side": "black", "legal_moves": ["e1e5", "e1e4", "e1e3", "e1e2", "e1h1", "e1g1", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "g6g5", "b2b1q", "b2b1r", "b2b1b", "b2b1n"], "solution_first_move": "e1a1", "solution_full": ["e1a1", "e5e6", "f7e6", "a2b1", "a1b1"], "themes": ["advantage", "endgame", "long"], "rating": 1807, "puzzle_id": "56EQZ"} {"fen": "R7/4r1pk/3p2np/3P1p1N/2pQPP1n/1qP1B2b/7P/6KB w - - 4 29", "side": "white", "legal_moves": ["a8h8", "a8g8", "a8f8", "a8e8", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "a8a5", "a8a4", "a8a3", "a8a2", "a8a1", "h5g7", "h5f6", "h5g3", "d4g7", "d4a7", "d4f6", "d4b6", "d4e5", "d4c5", "d4c4", "d4d3", "d4d2", "d4d1", "e3f2", "e3d2", "e3c1", "h1f3", "h1g2", "g1f2", "e4f5", "e4e5"], "solution_first_move": "d4g7", "solution_full": ["d4g7", "e7g7", "h5f6"], "themes": ["master", "mate", "mateIn2", "middlegame", "sacrifice", "short"], "rating": 1800, "puzzle_id": "CluSV"} {"fen": "4r1k1/6b1/p2Q1pp1/3R4/2P1q3/4B1K1/P4P1P/8 b - - 4 32", "side": "black", "legal_moves": ["g8h8", "g8h7", "g8f7", "e8f8", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "g7h8", "g7f8", "g7h6", "e4e7", "e4e6", "e4f5", "e4e5", "e4d5", "e4h4", "e4g4", "e4f4", "e4d4", "e4c4", "e4f3", "e4e3", "e4d3", "e4g2", "e4c2", "e4h1", "e4b1", "g6g5", "f6f5", "a6a5"], "solution_first_move": "f6f5", "solution_full": ["f6f5", "h2h3", "g7e5", "d5e5", "e4e5", "d6e5", "e8e5"], "themes": ["clearance", "crushing", "endgame", "exposedKing", "fork", "master", "quietMove", "veryLong"], "rating": 2081, "puzzle_id": "7Ypg6"} {"fen": "8/kp6/p7/7Q/3p3P/2q5/P1P5/2K5 b - - 2 46", "side": "black", "legal_moves": ["a7b8", "a7a8", "a7b6", "c3c8", "c3c7", "c3c6", "c3c5", "c3a5", "c3c4", "c3b4", "c3h3", "c3g3", "c3f3", "c3e3", "c3d3", "c3b3", "c3a3", "c3d2", "c3c2", "c3b2", "c3e1", "c3a1", "b7b6", "a6a5", "d4d3", "b7b5"], "solution_first_move": "d4d3", "solution_full": ["d4d3", "h5d1", "d3d2", "c1b1", "c3b4"], "themes": ["advancedPawn", "crushing", "endgame", "long", "queenEndgame"], "rating": 2322, "puzzle_id": "CgltA"} {"fen": "6k1/1p3pp1/p3b2p/3p4/P7/1qrB1Q1P/5PP1/2R3K1 w - - 0 24", "side": "white", "legal_moves": ["f3f7", "f3f6", "f3h5", "f3f5", "f3d5", "f3g4", "f3f4", "f3e4", "f3g3", "f3e3", "f3e2", "f3d1", "d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3f1", "d3b1", "g1h2", "g1h1", "g1f1", "c1c3", "c1c2", "c1f1", "c1e1", "c1d1", "c1b1", "c1a1", "a4a5", "h3h4", "g2g3", "g2g4"], "solution_first_move": "c1c3", "solution_full": ["c1c3", "b3c3", "d3h7", "g8h7", "f3c3"], "themes": ["advantage", "discoveredAttack", "endgame", "long"], "rating": 1243, "puzzle_id": "DVcMM"} {"fen": "4r3/3k2p1/6p1/2PK1p2/8/8/7P/4R3 w - - 7 38", "side": "white", "legal_moves": ["d5d4", "d5c4", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1h1", "e1g1", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "c5c6", "h2h3", "h2h4"], "solution_first_move": "c5c6", "solution_full": ["c5c6", "d7d8", "c6c7", "d8c7", "e1e8"], "themes": ["advancedPawn", "crushing", "deflection", "endgame", "exposedKing", "long", "rookEndgame"], "rating": 1956, "puzzle_id": "3TWG4"} {"fen": "rnbqkb1r/pp3ppp/4pn2/2pp4/3PP3/3B1N2/PPPN1PPP/R1BQK2R b KQkq -", "best_move": "c5c4", "pv_line": "c5c4 d3e2 d5e4 f3e5 d8d4 e5c4 f8e7 c2c3 d4d5 e1g1", "depth": 34, "knodes": 91775, "cp": -68, "mate": null, "eval_perspective": "white"} {"fen": "1r6/3nkp1p/r3p1p1/1N1pP3/P1P2P2/2R5/6PP/2R3K1 b - -", "source": "stockfish_multipv", "best_move": "a6a4", "candidate_ratings": [{"uci": "a6a4", "rank": 1, "expectation": 0.5091656397985503, "pv_line": "a6a4 g2g3 g6g5 c4d5 b8b5 d5d6 e7f8 c3c7", "cp": 11}, {"uci": "d7b6", "rank": 2, "expectation": 0.4675456936126812, "pv_line": "d7b6 c4d5 b6d5 c3c4 e7f8 b5d6 h7h6 c1a1", "cp": -39}, {"uci": "g6g5", "rank": 3, "expectation": 0.44275214540144436, "pv_line": "g6g5 c4d5 a6a4 d5d6 e7d8 g2g3 h7h5 c3a3", "cp": -69}, {"uci": "b8b7", "rank": 4, "expectation": 0.44275214540144436, "pv_line": "b8b7 c4d5 e6d5 b5c7 a6a5 c3c6 d5d4 e5e6", "cp": -69}, {"uci": "h7h5", "rank": 5, "expectation": 0.4353637081969708, "pv_line": "h7h5 c4d5 a6a4 d5d6 e7d8 g2g3 g6g5 c3a3", "cp": -78}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate a6a4: +11cp; Bucket: equal\n2. Candidate d7b6: -39cp; Bucket: equal\n3. Candidate g6g5: -69cp; Bucket: slight edge\n4. Candidate b8b7: -69cp; Bucket: slight edge\n5. Candidate h7h5: -78cp; Bucket: slight edge\n6. Best: d7b6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a6a4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate a6a4: +11cp; Bucket: equal\nCandidate d7b6: -39cp; Bucket: equal\nCandidate g6g5: -69cp; Bucket: slight edge\nCandidate b8b7: -69cp; Bucket: slight edge\nCandidate h7h5: -78cp; Bucket: slight edge\nBest: a6a4", "displayed_trace": "Candidate a6a4: +11cp; Bucket: equal\nCandidate d7b6: -39cp; Bucket: equal\nCandidate g6g5: -69cp; Bucket: slight edge\nCandidate b8b7: -69cp; Bucket: slight edge\nCandidate h7h5: -78cp; Bucket: slight edge\nBest: d7b6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be a6a4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a6a4."}} {"fen": "8/8/8/R1p5/4k3/1p4P1/2r2P2/4N1K1 b - - 1 41", "side": "black", "legal_moves": ["e4f5", "e4e5", "e4d5", "e4d4", "c2c4", "c2c3", "c2f2", "c2e2", "c2d2", "c2b2", "c2a2", "c2c1", "c5c4", "b3b2"], "solution_first_move": "c2c1", "solution_full": ["c2c1", "g1f1", "b3b2"], "themes": ["advancedPawn", "crushing", "endgame", "master", "pin", "short"], "rating": 1941, "puzzle_id": "E2vQH"} {"fen": "2kr1b1r/Qpp2ppp/8/8/2P2Bq1/8/PP5P/R4RK1 w - - 1 17", "side": "white", "legal_moves": ["g1f2", "g1h1", "f4g3"], "solution_first_move": "g1h1", "solution_full": ["g1h1", "g4g6", "a7a8"], "themes": ["crushing", "defensiveMove", "master", "middlegame", "short"], "rating": 2156, "puzzle_id": "6qOoD"} {"fen": "2r2r1k/1p3pq1/p2R1Np1/7Q/8/P7/1P2BPK1/7R b - - 0 32", "side": "black", "legal_moves": ["g7h7", "g7h6", "g6h5"], "solution_first_move": "g6h5", "solution_full": ["g6h5", "g2f3", "c8c5", "f6h5", "c5f5", "h5f4", "h8g8"], "themes": ["crushing", "defensiveMove", "discoveredAttack", "discoveredCheck", "middlegame", "quietMove", "veryLong"], "rating": 2526, "puzzle_id": "14Y5K"} {"fen": "8/pp4Q1/3k4/4N3/Pb1P4/8/q1p2P2/6K1 w - - 7 47", "side": "white", "legal_moves": ["g7h8", "g7g8", "g7f8", "g7h7", "g7f7", "g7e7", "g7d7", "g7c7", "g7b7", "g7h6", "g7g6", "g7f6", "g7g5", "g7g4", "g7g3", "g7g2", "e5f7", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "g1h2", "g1g2", "g1h1", "g1f1", "d4d5", "a4a5", "f2f3", "f2f4"], "solution_first_move": "g7d7", "solution_full": ["g7d7"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 1188, "puzzle_id": "63gUg"} {"fen": "2r2rk1/1pp4p/p7/8/P5q1/1P2PR1n/1BQ3K1/2R5 w - - 1 30", "side": "white", "legal_moves": ["g2h2", "g2h1", "g2f1", "f3g3"], "solution_first_move": "f3g3", "solution_full": ["f3g3", "f8f2", "c2f2", "h3f2", "g2f2", "c8f8", "f2g2", "g4g3", "g2g3"], "themes": ["advantage", "defensiveMove", "middlegame", "pin", "veryLong"], "rating": 1821, "puzzle_id": "HkAHh"} {"fen": "2r3k1/5pp1/pq2p2p/1p2P1b1/1n6/P1rR1QPP/4RP2/5B1K w - - 0 36", "side": "white", "legal_moves": ["f3a8", "f3f7", "f3b7", "f3f6", "f3c6", "f3h5", "f3f5", "f3d5", "f3g4", "f3f4", "f3e4", "f3e3", "f3g2", "d3d8", "d3d7", "d3d6", "d3d5", "d3d4", "d3e3", "d3c3", "d3d2", "d3d1", "e2e4", "e2e3", "e2d2", "e2c2", "e2b2", "e2a2", "e2e1", "h1h2", "h1g2", "h1g1", "f1g2", "a3b4", "h3h4", "g3g4", "a3a4"], "solution_first_move": "d3c3", "solution_full": ["d3c3", "c8c3", "f3c3"], "themes": ["advantage", "middlegame", "short"], "rating": 1447, "puzzle_id": "CEBvZ"} {"fen": "r3r1k1/p1q2ppp/2p5/2pp4/B2P1BP1/2P3n1/PP3QP1/RN4K1 b - - 2 19", "side": "black", "legal_moves": ["g8h8", "g8f8", "e8f8", "e8d8", "e8c8", "e8b8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "e8e2", "e8e1", "a8d8", "a8c8", "a8b8", "c7d8", "c7c8", "c7b8", "c7e7", "c7d7", "c7b7", "c7d6", "c7b6", "c7e5", "c7a5", "c7f4", "g3h5", "g3f5", "g3e4", "g3e2", "g3h1", "g3f1", "c5d4", "h7h6", "g7g6", "f7f6", "a7a6", "c5c4", "h7h5", "g7g5", "f7f5", "a7a5"], "solution_first_move": "g3e2", "solution_full": ["g3e2", "f2e2", "c7f4", "e2d2", "f4g4"], "themes": ["advantage", "deflection", "kingsideAttack", "long", "middlegame"], "rating": 2468, "puzzle_id": "CrBpo"} {"fen": "r4r1k/ppp2N2/2nb3p/4q3/P3B3/2P4b/1P1Q1PP1/R1B2RK1 b - - 2 20", "side": "black", "legal_moves": ["h8g8", "h8g7", "f8f7"], "solution_first_move": "f8f7", "solution_full": ["f8f7", "d2h6", "h8g8"], "themes": ["advantage", "middlegame", "short"], "rating": 1897, "puzzle_id": "6uMuv"} {"fen": "2b5/1p1q2pk/3P2np/p2Q1p2/P3p3/B7/1Pr2PPP/2R2RK1 b - - 9 28", "side": "black", "legal_moves": ["h7h8", "d7e8", "d7d8", "d7f7", "d7e7", "d7c7", "d7e6", "d7d6", "d7c6", "d7b5", "d7a4", "g6h8", "g6f8", "g6e7", "g6e5", "g6h4", "g6f4", "c2c7", "c2c6", "c2c5", "c2c4", "c2c3", "c2f2", "c2e2", "c2d2", "c2b2", "c2c1", "b7b6", "h6h5", "f5f4", "e4e3", "b7b5"], "solution_first_move": "g6f4", "solution_full": ["g6f4", "c1c2", "f4d5"], "themes": ["advantage", "middlegame", "short"], "rating": 1673, "puzzle_id": "CinTP"} {"fen": "r4rk1/2qp2pp/4p3/1b2Np2/1p2P3/1B4QP/1PP5/1K4R1 w - - 0 30", "side": "white", "legal_moves": ["e5f7", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "g3g7", "g3g6", "g3g5", "g3h4", "g3g4", "g3f4", "g3f3", "g3e3", "g3d3", "g3c3", "g3h2", "g3g2", "g3f2", "g3e1", "b3e6", "b3d5", "b3c4", "b3a4", "b3a2", "g1g2", "g1h1", "g1f1", "g1e1", "g1d1", "g1c1", "b1c1", "e4f5", "h3h4", "c2c3", "c2c4"], "solution_first_move": "g3g7", "solution_full": ["g3g7"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 1059, "puzzle_id": "12lnm"} {"fen": "r4r2/7k/7b/3p4/p2pbB1P/P5NQ/1Pp5/2K1R1R1 b - - 0 35", "side": "black", "legal_moves": ["f8h8", "f8g8", "f8e8", "f8d8", "f8c8", "f8b8", "f8f7", "f8f6", "f8f5", "f8f4", "a8e8", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "a8a5", "h7h8", "h7g8", "h7g7", "h7g6", "h6g7", "h6g5", "h6f4", "e4g6", "e4f5", "e4f3", "e4d3", "e4g2", "e4h1", "d4d3"], "solution_first_move": "h6f4", "solution_full": ["h6f4", "e1e3", "f4e3"], "themes": ["mate", "mateIn2", "middlegame", "short"], "rating": 1160, "puzzle_id": "ACCnr"} {"fen": "r4k1r/1p1Q1p2/3p1Pp1/3p4/4P2P/pPq5/P1P5/2KR2R1 w - - 1 25", "side": "white", "legal_moves": ["d7e8", "d7d8", "d7c8", "d7f7", "d7e7", "d7c7", "d7b7", "d7e6", "d7d6", "d7c6", "d7f5", "d7b5", "d7g4", "d7a4", "d7h3", "g1g6", "g1g5", "g1g4", "g1g3", "g1g2", "g1h1", "g1f1", "g1e1", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "c1b1", "e4d5", "h4h5", "e4e5", "b3b4"], "solution_first_move": "d7e7", "solution_full": ["d7e7", "f8g8", "g1g6", "g8h7", "e7f7"], "themes": ["deflection", "endgame", "long", "mate", "mateIn3"], "rating": 1573, "puzzle_id": "ElVvp"} {"fen": "8/8/p7/1p3k1B/1Pb5/P2K4/8/8 w - - 1 49", "side": "white", "legal_moves": ["d3d4", "d3e3", "d3c3", "d3d2", "d3c2"], "solution_first_move": "d3d4", "solution_full": ["d3d4", "f5e6", "d4c5", "e6d7", "c5b6"], "themes": ["bishopEndgame", "crushing", "defensiveMove", "endgame", "long"], "rating": 1460, "puzzle_id": "Fsp2c"} {"fen": "5r1k/p2Q2pp/1pn1p3/8/2PP4/2qB1r2/P4P1P/1K1R2R1 w - - 0 19", "side": "white", "legal_moves": ["d7e8", "d7d8", "d7c8", "d7g7", "d7f7", "d7e7", "d7c7", "d7b7", "d7a7", "d7e6", "d7d6", "d7c6", "d7d5", "d3h7", "d3g6", "d3f5", "d3e4", "d3e2", "d3c2", "d3f1", "g1g7", "g1g6", "g1g5", "g1g4", "g1g3", "g1g2", "g1h1", "g1f1", "g1e1", "d1d2", "d1f1", "d1e1", "d1c1", "d4d5", "c4c5", "h2h3", "a2a3", "h2h4", "a2a4"], "solution_first_move": "d7g7", "solution_full": ["d7g7"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 1155, "puzzle_id": "CsiFG"} {"fen": "8/1P6/2K5/5p1k/5P2/P5P1/8/8 w - -", "best_move": "a3a4", "pv_line": "a3a4 h5g4 a4a5 g4h3 a5a6 h3g4 b7b8q g4f3 a6a7 f3g3", "depth": 40, "knodes": 1380, "cp": null, "mate": 10, "eval_perspective": "white"} {"fen": "8/pp4k1/n2p4/2pP4/2P1Pp2/PP1B2p1/4K3/r3B3 w - - 0 41", "side": "white", "legal_moves": ["d3c2", "d3b1", "e2f3", "e2d2", "e2f1", "e1a5", "e1b4", "e1g3", "e1c3", "e1f2", "e1d2", "e4e5", "b3b4", "a3a4"], "solution_first_move": "e1c3", "solution_full": ["e1c3", "g7f7", "c3a1", "g3g2", "e2f2"], "themes": ["crushing", "endgame", "fork", "long"], "rating": 1181, "puzzle_id": "J9rC5"} {"fen": "r3r1k1/ppp2pp1/7p/3pP1q1/5n2/2PB1N1P/PPQ2P2/R4R1K b - - 4 19", "side": "black", "legal_moves": ["g8h8", "g8f8", "e8f8", "e8d8", "e8c8", "e8b8", "e8e7", "e8e6", "e8e5", "a8d8", "a8c8", "a8b8", "g5d8", "g5e7", "g5g6", "g5f6", "g5h5", "g5f5", "g5e5", "g5h4", "g5g4", "g5g3", "g5g2", "g5g1", "f4g6", "f4e6", "f4h5", "f4h3", "f4d3", "f4g2", "f4e2", "g7g6", "f7f6", "c7c6", "b7b6", "a7a6", "h6h5", "d5d4", "f7f5", "c7c5", "b7b5", "a7a5"], "solution_first_move": "g5g2", "solution_full": ["g5g2"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 940, "puzzle_id": "CqG2O"} {"fen": "8/5p2/1p2p3/2p1Pk1p/2Pb1P2/1P2BK1P/8/8 w - 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Candidate c1g1: +264cp; Bucket: clear advantage\n2. Candidate c1e1: +242cp; Bucket: clear advantage\n3. Candidate c2c4: +221cp; Bucket: clear advantage\n4. Candidate a2a4: +190cp; Bucket: clear advantage\n5. Candidate b1b2: +155cp; Bucket: clear advantage\n6. Best: c1e1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c1g1.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c1g1: +264cp; Bucket: clear advantage\nCandidate c1e1: +242cp; Bucket: clear advantage\nCandidate c2c4: +221cp; Bucket: clear advantage\nCandidate a2a4: +190cp; Bucket: clear advantage\nCandidate b1b2: +155cp; Bucket: clear advantage\nBest: c1g1", "displayed_trace": "Candidate c1g1: +264cp; Bucket: clear advantage\nCandidate c1e1: +242cp; Bucket: clear advantage\nCandidate c2c4: +221cp; Bucket: clear advantage\nCandidate a2a4: +190cp; Bucket: clear advantage\nCandidate b1b2: +155cp; Bucket: clear advantage\nBest: c1e1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c1g1.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c1g1."}} {"fen": "5r2/ppp5/3p1q1k/3Pp1pp/2P1Q3/5rP1/PPR2PK1/7R w - 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-", "best_move": "e3d4", "pv_line": "e3d4 h6c6 d4d3 g7f6 d3d4 f6f5 d4d3 c6c5 d3e2 c5c3", "depth": 54, "knodes": 23368, "cp": null, "mate": 9, "eval_perspective": "white"} {"fen": "r5k1/2p4p/2np2pB/pp1N2N1/4P1P1/P1KP2nP/1PP3r1/8 w - - 0 26", "side": "white", "legal_moves": ["h6f8", "h6g7", "g5h7", "g5f7", "g5e6", "g5f3", "d5e7", "d5c7", "d5f6", "d5b6", "d5f4", "d5b4", "d5e3", "c3b3", "e4e5", "h3h4", "d3d4", "a3a4", "b2b3", "b2b4"], "solution_first_move": "d5f6", "solution_full": ["d5f6", "g8h8", "g5f7"], "themes": ["kingsideAttack", "mate", "mateIn2", "middlegame", "short"], "rating": 1372, "puzzle_id": "HrEbT"} {"fen": "8/5k2/4pB1P/3p4/8/6K1/8/8 b - - 0 52", "side": "black", "legal_moves": ["f7g8", "f7f8", "f7e8", "f7g6", "f7f6", "e6e5", "d5d4"], "solution_first_move": "f7f6", "solution_full": ["f7f6", "h6h7", "f6g7", "h7h8q", "g7h8"], "themes": ["crushing", "endgame", "long"], "rating": 951, "puzzle_id": "JbiGH"} {"fen": "6R1/1b3p2/3q3p/r2P3k/1p5p/6P1/PP3P1P/R5K1 w - - 0 27", "side": "white", "legal_moves": ["g8h8", "g8f8", "g8e8", "g8d8", "g8c8", "g8b8", "g8a8", "g8g7", "g8g6", "g8g5", "g8g4", "g1g2", "g1h1", "g1f1", "a1f1", "a1e1", "a1d1", "a1c1", "a1b1", "g3h4", "g3g4", "h2h3", "f2f3", "b2b3", "a2a3", "f2f4", "a2a4"], "solution_first_move": "g3g4", "solution_full": ["g3g4"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove"], "rating": 1006, "puzzle_id": "C7ffB"} {"fen": "r1bq1rk1/1pp2pbp/3p1np1/p1nPp3/2P1P3/2N2P2/PPB1N1PP/R1BQK2R w KQ -", "best_move": "c1e3", "pv_line": "c1e3 c7c6 e1g1 c6d5 c4d5 c8d7 a2a4 d8b6 d1d2 f6h5", "depth": 34, "knodes": 26577, "cp": 60, "mate": null, "eval_perspective": "white"} {"fen": "r4rk1/pp3ppp/1q6/2b5/3n2b1/6P1/PB2NPBP/R2QR1K1 w - 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Candidate f3h4: +81cp; Bucket: slight edge\n2. Candidate d2d4: +21cp; Bucket: equal\n3. Candidate g3g4: +12cp; Bucket: equal\n4. Candidate e2e4: +11cp; Bucket: equal\n5. Candidate g3h4: +5cp; Bucket: equal\n6. Best: d2d4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f3h4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate f3h4: +81cp; Bucket: slight edge\nCandidate d2d4: +21cp; Bucket: equal\nCandidate g3g4: +12cp; Bucket: equal\nCandidate e2e4: +11cp; Bucket: equal\nCandidate g3h4: +5cp; Bucket: equal\nBest: f3h4", "displayed_trace": "Candidate f3h4: +81cp; Bucket: slight edge\nCandidate d2d4: +21cp; Bucket: equal\nCandidate g3g4: +12cp; Bucket: equal\nCandidate e2e4: +11cp; Bucket: equal\nCandidate g3h4: +5cp; Bucket: equal\nBest: d2d4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be f3h4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f3h4."}} {"fen": "r2qkb1r/pp1np1p1/4pn2/2pp3p/3P3P/3Q1N2/PPP2PP1/RNB1K2R w KQkq - 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- 0 33", "side": "white", "legal_moves": ["h5h7", "h5h6", "h5g5", "h5f5", "h5e5", "h5d5", "h5c5", "h5b5", "h5a5", "h5h4", "h5h3", "c4g8", "c4f7", "c4e6", "c4a6", "c4d5", "c4b5", "d3d8", "d3d7", "d3d6", "d3d5", "d3d4", "d3e3", "d3c3", "d3d2", "d1e1", "b3b4", "h2h3", "h2h4"], "solution_first_move": "d3d8", "solution_full": ["d3d8", "h8g7", "d8g8", "g7f6", "g8g2"], "themes": ["crushing", "endgame", "long", "skewer"], "rating": 1216, "puzzle_id": "9el84"} {"fen": "3r4/2p5/1pP3k1/1Pq2pp1/P2Np2p/2Q1P2P/5PPK/8 w - - 3 50", "side": "white", "legal_moves": ["d4e6", "d4f5", "d4f3", "d4b3", "d4e2", "d4c2", "c3c5", "c3a5", "c3c4", "c3b4", "c3d3", "c3b3", "c3a3", "c3d2", "c3c2", "c3b2", "c3e1", "c3c1", "c3a1", "h2h1", "h2g1", "a4a5", "g2g3", "f2f3", "g2g4", "f2f4"], "solution_first_move": "c3c5", "solution_full": ["c3c5", "b6c5", "d4e6"], "themes": ["crushing", "endgame", "short"], "rating": 1341, "puzzle_id": "Fk7Y9"} {"fen": "8/8/2B5/5bk1/7p/6P1/1B4K1/8 w - -", "best_move": "b2c1", "pv_line": "b2c1 g5g6 g3h4 f5e6 c6e8 g6f6 g2g3 f6e7 e8h5 e6c4", "depth": 40, "knodes": 638694, "cp": 668, "mate": null, "eval_perspective": "white"} {"fen": "4kb1r/Q4ppp/5n2/3pq3/8/2P5/Pr2BPPP/RN2K2R w KQk -", "best_move": "a7a4", "pv_line": "a7a4 e8d8 a4a5 d8d7 b1d2 f8d6 a5a7 d7d8 a7e3 h8e8", "depth": 30, "knodes": 140446, "cp": -219, "mate": null, "eval_perspective": "white"} {"fen": "r2q1rk1/p1ppb1p1/1pb1pp1p/4P3/2PP4/P4N2/1P3PPP/RN1QR1K1 w - - 0 13", "side": "white", "legal_moves": ["f3g5", "f3h4", "f3d2", "g1h1", "g1f1", "e1e4", "e1e3", "e1e2", "e1f1", "d1a4", "d1d3", "d1b3", "d1e2", "d1d2", "d1c2", "d1c1", "b1c3", "b1d2", "a1a2", "e5f6", "d4d5", "c4c5", "a3a4", "h2h3", "g2g3", "b2b3", "h2h4", "g2g4", "b2b4"], "solution_first_move": "d4d5", "solution_full": ["d4d5", "c6b7", "d5d6", "f6e5", "d6e7"], "themes": ["advancedPawn", "advantage", "long", "middlegame", "trappedPiece"], "rating": 1804, "puzzle_id": "Ej4tA"} {"fen": "r1b2rk1/pp2ppbp/1n1p1np1/q2P4/3B1PP1/2N4P/PPP1N1B1/R2QK2R w KQ -", "source": "stockfish_multipv", "best_move": "b2b3", "candidate_ratings": [{"uci": "b2b3", "rank": 1, "expectation": 0.5588920388897928, "pv_line": "b2b3 c8d7 d1d2 a8c8 a2a4 e7e5 d5e6 f7e6", "cp": 71}, {"uci": "a2a3", "rank": 2, "expectation": 0.549833997312478, "pv_line": "a2a3 b6a4 b2b3 a4c3 d4c3 a5a6 e1g1 c8d7", "cp": 60}, {"uci": "e1g1", "rank": 3, "expectation": 0.5465316309986, "pv_line": "e1g1 h7h5 g4g5 f6e8 d1d3 c8f5 g2e4 g7d4", "cp": 56}, {"uci": "a1b1", "rank": 4, "expectation": 0.534113586023358, "pv_line": "a1b1 c8d7 e1g1 h7h5 g4g5 f6e8 d4f2 e8c7", "cp": 41}, {"uci": "g2f3", "rank": 5, "expectation": 0.5332840382511314, "pv_line": "g2f3 b6c4 b2b3 c4a3 e1g1 b7b5 c3e4 b5b4", "cp": 40}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b2b3: +71cp; Bucket: slight edge\n2. Candidate a2a3: +60cp; Bucket: slight edge\n3. Candidate e1g1: +56cp; Bucket: slight edge\n4. Candidate a1b1: +41cp; Bucket: equal\n5. Candidate g2f3: +40cp; Bucket: equal\n6. Best: a2a3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b2b3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b2b3: +71cp; Bucket: slight edge\nCandidate a2a3: +60cp; Bucket: slight edge\nCandidate e1g1: +56cp; Bucket: slight edge\nCandidate a1b1: +41cp; Bucket: equal\nCandidate g2f3: +40cp; Bucket: equal\nBest: b2b3", "displayed_trace": "Candidate b2b3: +71cp; Bucket: slight edge\nCandidate a2a3: +60cp; Bucket: slight edge\nCandidate e1g1: +56cp; Bucket: slight edge\nCandidate a1b1: +41cp; Bucket: equal\nCandidate g2f3: +40cp; Bucket: equal\nBest: a2a3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b2b3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b2b3."}} {"fen": "8/1bqnk3/p2NP2p/1pp2Br1/P1pP4/8/1P2Q1P1/5RK1 b - 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2 8", "side": "black", "legal_moves": ["g8e7", "g8h6", "f8e7", "e8d8", "e8e7", "e8d7", "a8d8", "a8c8", "a8b8", "f6d8", "f6e7", "f6h6", "f6g6", "f6e6", "f6g5", "f6f5", "f6e5", "f6h4", "f6f4", "f6d4", "c6d8", "c6b8", "c6e7", "c6e5", "c6a5", "c6d4", "c6b4", "e8c8", "h7h6", "g7g6", "b7b6", "a7a6", "d6d5", "h7h5", "g7g5", "b7b5", "a7a5"], "solution_first_move": "f6d4", "solution_full": ["f6d4", "g1h1", "d4c4"], "themes": ["advantage", "fork", "opening", "short"], "rating": 1543, "puzzle_id": "44lEc"} {"fen": "r1b2rkb/2p2p2/3p3Q/3Pp3/1p1nP1q1/pPN5/P1P1NPP1/2K4R w - - 0 20", "side": "white", "legal_moves": ["h6h8", "h6f8", "h6h7", "h6g7", "h6g6", "h6f6", "h6e6", "h6d6", "h6h5", "h6g5", "h6h4", "h6f4", "h6h3", "h6e3", "h6h2", "h6d2", "c3b5", "c3a4", "c3d1", "c3b1", "e2f4", "e2d4", "e2g3", "e2g1", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "c1d2", "c1d1", "c1b1", "g2g3", "f2f3", "f2f4"], "solution_first_move": "h6h8", "solution_full": ["h6h8"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 679, "puzzle_id": "Axb3w"} {"fen": "2r3k1/p4ppp/8/3Pp3/4P3/r4BP1/PB5K/2R5 b - 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- 1 16", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "h8h7", "h8h6", "h8h5", "d8g8", "d8f8", "d8e8", "d8d7", "c8b8", "c8d7", "f6g8", "f6e8", "f6h7", "f6d7", "f6h5", "f6d5", "f6g4", "f6e4", "d6f8", "d6e7", "d6e5", "d6f4", "g3g4", "g3f4", "g3h3", "g3f3", "g3h2", "g3g2", "g3f2", "g3g1", "g3e1", "g5f4", "c7c6", "b7b6", "a7a6", "g5g4", "h4h3", "b7b5", "a7a5"], "solution_first_move": "g3h3", "solution_full": ["g3h3", "h1g1", "g5f4"], "themes": ["crushing", "kingsideAttack", "middlegame", "short"], "rating": 2242, "puzzle_id": "9JtNb"} {"fen": "8/5p2/6p1/5kPp/4pP1P/6K1/4P3/8 b - - 0 49", "side": "black", "legal_moves": ["f5e6", "f7f6", "e4e3"], "solution_first_move": "f5e6", "solution_full": ["f5e6", "g3f2", "f7f5", "g5f6", "e6f6"], "themes": ["crushing", "endgame", "long", "pawnEndgame", "quietMove"], "rating": 2555, "puzzle_id": "63B0b"} {"fen": "r6k/7p/8/3b1p2/1P2pP2/6R1/3P2PP/R6K b - - 0 38", "side": "black", "legal_moves": ["a8g8", "a8f8", "a8e8", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "a8a5", "a8a4", "a8a3", "a8a2", "a8a1", "d5g8", "d5f7", "d5b7", "d5e6", "d5c6", "d5c4", "d5b3", "d5a2", "h7h6", "e4e3", "h7h5"], "solution_first_move": "a8a1", "solution_full": ["a8a1"], "themes": ["backRankMate", "endgame", "mate", "mateIn1", "oneMove"], "rating": 426, "puzzle_id": "B76Ku"} {"fen": "1k1r4/pp6/1b2p3/6Q1/3nq3/6N1/PP3PP1/5RK1 w - - 0 27", "side": "white", "legal_moves": ["g5g8", "g5d8", "g5g7", "g5e7", "g5h6", "g5g6", "g5f6", "g5h5", "g5f5", "g5e5", "g5d5", "g5c5", "g5b5", "g5a5", "g5h4", "g5g4", "g5f4", "g5e3", "g5d2", "g5c1", "g3h5", "g3f5", "g3e4", "g3e2", "g3h1", "g1h2", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "f2f3", "b2b3", "a2a3", "f2f4", "b2b4", "a2a4"], "solution_first_move": "g5d8", "solution_full": ["g5d8", "b6d8", "g3e4"], "themes": ["advantage", "intermezzo", "master", "middlegame", "short"], "rating": 1845, "puzzle_id": "Gz63p"} {"fen": "8/8/8/3b4/pk6/8/8/1K6 w - -", "best_move": "b1c1", "pv_line": "b1c1 b4a3 c1b1 d5f7 b1a1 f7e6 a1b1 a3b3 b1a1 a4a3", "depth": 34, "knodes": 10765, "cp": -25, "mate": null, "eval_perspective": "white"} {"fen": "3r2k1/pb1rqpbp/1pp3p1/4p1P1/2PP3P/1P1RQ3/PB3PB1/3R2K1 b - -", "source": "stockfish_multipv", "best_move": "e5d4", "candidate_ratings": [{"uci": "e5d4", "rank": 1, "expectation": 0.4900013331200346, "pv_line": "e5d4 b2d4 e7e6 d3d2 d7d4 d2d4 g7d4 d1d4", "cp": -12}, {"uci": "e7b4", "rank": 2, "expectation": 0.3917409692534856, "pv_line": "e7b4 b2c3 b4d6 g2h3 e5e4 e3e4 d7e7 e4f3", "cp": -132}, {"uci": "g8f8", "rank": 3, "expectation": 0.3901535875736077, "pv_line": "g8f8 d4d5 c6d5 c4d5 b7a6 d3d2 e7d6 h4h5", "cp": -134}, {"uci": "e7d6", "rank": 4, "expectation": 0.3861953630501916, "pv_line": "e7d6 g2h3 e5e4 e3e4 d7e7 e4f3 f7f5 h3g2", "cp": -139}, {"uci": "e7e8", "rank": 5, "expectation": 0.37910863448574306, "pv_line": "e7e8 d4e5 d7d3 d1d3 d8d3 e3d3 b7c8 d3d6", "cp": -148}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e5d4: -12cp; Bucket: equal\n2. Candidate e7b4: -132cp; Bucket: slight edge\n3. Candidate g8f8: -134cp; Bucket: slight edge\n4. Candidate e7d6: -139cp; Bucket: slight edge\n5. Candidate e7e8: -148cp; Bucket: slight edge\n6. Best: e7b4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e5d4: -12cp; Bucket: equal\nCandidate e7b4: -132cp; Bucket: slight edge\nCandidate g8f8: -134cp; Bucket: slight edge\nCandidate e7d6: -139cp; Bucket: slight edge\nCandidate e7e8: -148cp; Bucket: slight edge\nBest: e5d4", "displayed_trace": "Candidate e5d4: -12cp; Bucket: equal\nCandidate e7b4: -132cp; Bucket: slight edge\nCandidate g8f8: -134cp; Bucket: slight edge\nCandidate e7d6: -139cp; Bucket: slight edge\nCandidate e7e8: -148cp; Bucket: slight edge\nBest: e7b4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e5d4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d4."}} {"fen": "8/pn1r1kp1/2rP1p1p/3RpP1P/2p5/B1P1K1P1/P7/1R6 w - - 7 37", "side": "white", "legal_moves": ["d5e5", "d5c5", "d5b5", "d5a5", "d5d4", "d5d3", "d5d2", "d5d1", "e3e4", "e3f3", "e3f2", "e3e2", "e3d2", "a3c5", "a3b4", "a3b2", "a3c1", "b1b7", "b1b6", "b1b5", "b1b4", "b1b3", "b1b2", "b1h1", "b1g1", "b1f1", "b1e1", "b1d1", "b1c1", "b1a1", "g3g4"], "solution_first_move": "b1b7", "solution_full": ["b1b7", "d7b7", "d6d7", "b7d7", "d5d7"], "themes": ["advancedPawn", "crushing", "endgame", "long", "sacrifice"], "rating": 986, "puzzle_id": "BFiWl"} {"fen": "r2q2k1/ppp2pp1/5P2/b5B1/1n1pKP1P/1P6/1PP1Q3/rN1R1B1R b - - 6 22", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "d8f8", "d8e8", "d8c8", "d8b8", "d8e7", "d8d7", "d8f6", "d8d6", "d8d5", "a8c8", "a8b8", "a5b6", "b4c6", "b4a6", "b4d5", "b4d3", "b4c2", "b4a2", "a1a4", "a1a3", "a1a2", "a1b1", "g7f6", "g7g6", "c7c6", "b7b6", "a7a6", "d4d3", "c7c5", "b7b5"], "solution_first_move": "d8d5", "solution_full": ["d8d5"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 1445, "puzzle_id": "9xp3L"} {"fen": "r2q1rk1/p5pp/5p2/nN1bp3/Q6N/3P4/P2P1PPP/R3R1K1 b - - 3 21", "side": "black", "legal_moves": ["g8h8", "g8f7", "f8e8", "f8f7", "d8e8", "d8c8", "d8b8", "d8e7", "d8d7", "d8c7", "d8d6", "d8b6", "a8c8", "a8b8", "d5f7", "d5b7", "d5e6", "d5c6", "d5e4", "d5c4", "d5f3", "d5b3", "d5g2", "d5a2", "a5b7", "a5c6", "a5c4", "a5b3", "h7h6", "g7g6", "a7a6", "f6f5", "e5e4", "h7h5", "g7g5"], "solution_first_move": "d5c6", "solution_full": ["d5c6", "a4b4", "a8b8"], "themes": ["advantage", "master", "middlegame", "short"], "rating": 1875, "puzzle_id": "6e433"} {"fen": "5rk1/R6p/6p1/6N1/8/4p1N1/Pb4PP/6K1 b - - 0 34", "side": "black", "legal_moves": ["g8h8", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f8f7", "f8f6", "f8f5", "f8f4", "f8f3", "f8f2", "f8f1", "b2h8", "b2g7", "b2f6", "b2e5", "b2d4", "b2c3", "b2a3", "b2c1", "b2a1", "h7h6", "e3e2", "h7h5"], "solution_first_move": "b2d4", "solution_full": ["b2d4", "a7g7", "d4g7"], "themes": ["advantage", "endgame", "short"], "rating": 2269, "puzzle_id": "2wSla"} {"fen": "rnbqk2r/1pp1bppp/p3pn2/8/2BP4/4PN2/PP3PPP/RNBQ1RK1 w kq -", "source": "stockfish_multipv", "best_move": "d1e2", "candidate_ratings": [{"uci": "d1e2", "rank": 1, "expectation": 0.5349429451582145, "pv_line": "d1e2 b7b5 c4d3 b8d7 a2a4 b5a4 a1a4 c7c5", "cp": 42}, {"uci": "c4d3", "rank": 2, "expectation": 0.5274723043445937, "pv_line": "c4d3 b8d7 e3e4 b7b5 a2a4 c8b7 e4e5 f6d5", "cp": 33}, {"uci": "a2a4", "rank": 3, "expectation": 0.52497918747894, "pv_line": "a2a4 c7c5 d4c5 d8d1 f1d1 b8c6 c1d2 e7c5", "cp": 30}, {"uci": "f1e1", "rank": 4, "expectation": 0.5241478655622194, "pv_line": "f1e1 c7c5 d4c5 d8d1 e1d1 e7c5 c4e2 e8g8", "cp": 29}, {"uci": "b1c3", "rank": 5, "expectation": 0.520821285372743, "pv_line": "b1c3 b7b5 c4d3 b8d7 e3e4 c8b7 e4e5 f6d5", "cp": 25}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d1e2: +42cp; Bucket: equal\n2. Candidate c4d3: +33cp; Bucket: equal\n3. Candidate a2a4: +30cp; Bucket: equal\n4. Candidate f1e1: +29cp; Bucket: equal\n5. Candidate b1c3: +25cp; Bucket: equal\n6. Best: c4d3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1e2.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d1e2: +42cp; Bucket: equal\nCandidate c4d3: +33cp; Bucket: equal\nCandidate a2a4: +30cp; Bucket: equal\nCandidate f1e1: +29cp; Bucket: equal\nCandidate b1c3: +25cp; Bucket: equal\nBest: d1e2", "displayed_trace": "Candidate d1e2: +42cp; Bucket: equal\nCandidate c4d3: +33cp; Bucket: equal\nCandidate a2a4: +30cp; Bucket: equal\nCandidate f1e1: +29cp; Bucket: equal\nCandidate b1c3: +25cp; Bucket: equal\nBest: c4d3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d1e2.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1e2."}} {"fen": "r5k1/pp3pp1/2pbr2p/P7/2PNbq2/7P/PB1Q1PP1/3R1RK1 b - - 4 22", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "a8f8", "a8e8", "a8d8", "a8c8", "a8b8", "e6e8", "e6e7", "e6g6", "e6f6", "e6e5", "d6f8", "d6b8", "d6e7", "d6c7", "d6e5", "d6c5", "d6b4", "d6a3", "f4f6", "f4g5", "f4f5", "f4e5", "f4h4", "f4g4", "f4g3", "f4f3", "f4e3", "f4h2", "f4f2", "f4d2", "e4h7", "e4g6", "e4f5", "e4d5", "e4f3", "e4d3", "e4g2", "e4c2", "e4b1", "g7g6", "f7f6", "b7b6", "a7a6", "h6h5", "c6c5", "g7g5", "f7f5", "b7b5"], "solution_first_move": "f4h2", "solution_full": ["f4h2"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 967, "puzzle_id": "ITcAc"} {"fen": "7k/Qpq3pp/p2p4/3Pp3/4P3/1P5P/P5P1/6K1 w - - 5 34", "side": "white", "legal_moves": ["a7b8", "a7a8", "a7b7", "a7b6", "a7a6", "a7c5", "a7d4", "a7e3", "a7f2", "g1h2", "g1f2", "g1h1", "g1f1", "h3h4", "b3b4", "g2g3", "a2a3", "g2g4", "a2a4"], "solution_first_move": "a7a8", "solution_full": ["a7a8", "c7b8", "a8b8"], "themes": ["backRankMate", "endgame", "mate", "mateIn2", "queenEndgame", "short"], "rating": 604, "puzzle_id": "3ZKKi"} {"fen": "8/p1p3p1/2p5/2b4p/2PkpN1P/1P4P1/P5K1/8 w - - 4 37", "side": "white", "legal_moves": ["f4g6", "f4e6", "f4h5", "f4d5", "f4h3", "f4d3", "f4e2", "g2h3", "g2h2", "g2f2", "g2h1", "g2g1", "g2f1", "g3g4", "b3b4", "a2a3", "a2a4"], "solution_first_move": "f4e6", "solution_full": ["f4e6", "d4c3", "e6c5"], "themes": ["advantage", "deflection", "endgame", "short"], "rating": 872, "puzzle_id": "GOWBN"} {"fen": "5rk1/p5b1/1p4pp/2p1p3/P1q1r3/1Q3B2/5PPP/R4RK1 w - - 0 25", "side": "white", "legal_moves": ["f3h5", "f3g4", "f3e4", "f3e2", "f3d1", "b3b6", "b3b5", "b3c4", "b3b4", "b3e3", "b3d3", "b3c3", "b3a3", "b3c2", "b3b2", "b3a2", "b3d1", "b3b1", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "a1a3", "a1a2", "a1e1", "a1d1", "a1c1", "a1b1", "a4a5", "h2h3", "g2g3", "h2h4", "g2g4"], "solution_first_move": "b3c4", "solution_full": ["b3c4", "e4c4", "f3d5", "g8h7", "d5c4"], "themes": ["advantage", "attraction", "exposedKing", "fork", "long", "middlegame"], "rating": 1006, "puzzle_id": "1q4za"} {"fen": "6k1/8/1K2p3/PR2P3/8/6p1/8/r7 w - - 0 49", "side": "white", "legal_moves": ["b6c7", "b6b7", "b6a7", "b6c6", "b6a6", "b6c5", "b5d5", "b5c5", "b5b4", "b5b3", "b5b2", "b5b1", "a5a6"], "solution_first_move": "b5b3", "solution_full": ["b5b3", "g3g2", "b3g3", "g8f8", "g3g2"], "themes": ["advantage", "endgame", "exposedKing", "long", "rookEndgame"], "rating": 2308, "puzzle_id": "IMQYF"} {"fen": "7k/pp5p/2p3p1/2P2p2/PPQ1p1P1/4B1KP/5P2/6qr w - 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- 1 40", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8e8", "g8d8", "g8c8", "b8d7", "b8c6", "b8a6", "g7h7", "g7g6", "g7g5", "g7g4", "g7g3", "b7a8", "b7a7", "c1c3", "c1a3", "c1d2", "c1c2", "c1b2", "c1f1", "c1e1", "c1d1", "c1b1", "c1a1", "f7f6", "e3e2", "f7f5"], "solution_first_move": "g7g3", "solution_full": ["g7g3", "h2g3", "g8g3", "g1h2", "c1f1", "h2g3", "f1d3"], "themes": ["crushing", "deflection", "middlegame", "pin", "sacrifice", "veryLong"], "rating": 1627, "puzzle_id": "EysSc"} {"fen": "r1bq3r/pp3k1p/2nb1pnB/1B1p3Q/2pP4/8/PPP2PPP/RN2R1K1 w - - 4 14", "side": "white", "legal_moves": ["h6f8", "h6g7", "h6g5", "h6f4", "h6e3", "h6d2", "h6c1", "h5g6", "h5g5", "h5f5", "h5e5", "h5d5", "h5h4", "h5g4", "h5h3", "h5f3", "h5e2", "h5d1", "b5c6", "b5a6", "b5c4", "b5a4", "g1h1", "g1f1", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "b1c3", "b1a3", "b1d2", "h2h3", "g2g3", "f2f3", "c2c3", "b2b3", "a2a3", "h2h4", "g2g4", "f2f4", "b2b4", "a2a4"], "solution_first_move": "h5d5", "solution_full": ["h5d5", "c8e6", "d5e6"], "themes": ["mate", "mateIn2", "opening", "short"], "rating": 1374, "puzzle_id": "AGpZ8"} {"fen": "rn1qkbnr/pp1bpppp/8/1BppP3/3P4/8/PPPQ1PPP/RNB1K1NR b KQkq -", "source": "stockfish_multipv", "best_move": "d7b5", "candidate_ratings": [{"uci": "d7b5", "rank": 1, "expectation": 0.791941241537224, "pv_line": "d7b5 d4c5 e7e6 a2a4 b5d7 b2b4 a7a5 c2c3", "cp": 401}, {"uci": "c5d4", "rank": 2, "expectation": 0.5597136492671929, "pv_line": "c5d4 b5d3 b8c6 d2e2 e7e6 b1d2 g8e7 d2b3", "cp": 72}, {"uci": "e7e6", "rank": 3, "expectation": 0.5382584045560131, "pv_line": "e7e6 b5d7 d8d7 c2c3 b8c6 g1f3 g8e7 e1g1", "cp": 46}, {"uci": "g8h6", "rank": 4, "expectation": 0.5283030450758288, "pv_line": "g8h6 a2a4 e7e6 g1f3 c5d4 d2d4 h6f5 d4d1", "cp": 34}, {"uci": "d8b6", "rank": 5, "expectation": 0.5266414114504839, "pv_line": "d8b6 b5d7 b8d7 d4c5 b6c5 g1f3 e7e6 e1g1", "cp": 32}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d7b5: +401cp; Bucket: winning\n2. Candidate c5d4: +72cp; Bucket: slight edge\n3. Candidate e7e6: +46cp; Bucket: equal\n4. Candidate g8h6: +34cp; Bucket: equal\n5. Candidate d8b6: +32cp; Bucket: equal\n6. Best: c5d4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d7b5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d7b5: +401cp; Bucket: winning\nCandidate c5d4: +72cp; Bucket: slight edge\nCandidate e7e6: +46cp; Bucket: equal\nCandidate g8h6: +34cp; Bucket: equal\nCandidate d8b6: +32cp; Bucket: equal\nBest: d7b5", "displayed_trace": "Candidate d7b5: +401cp; Bucket: winning\nCandidate c5d4: +72cp; Bucket: slight edge\nCandidate e7e6: +46cp; Bucket: equal\nCandidate g8h6: +34cp; Bucket: equal\nCandidate d8b6: +32cp; Bucket: equal\nBest: c5d4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d7b5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d7b5."}} {"fen": "7k/1p4pp/p1bq2r1/P6N/6PP/5P1K/8/8 w - 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- 1 13", "side": "white", "legal_moves": ["e4h7", "e4b7", "e4g6", "e4c6", "e4f5", "e4d5", "e4d3", "e4c2", "e4b1", "f3g5", "f3e5", "f3h4", "f3d4", "f3d2", "g1h1", "g1f1", "e1e3", "e1e2", "e1f1", "d1d6", "d1d5", "d1d4", "d1a4", "d1d3", "d1b3", "d1e2", "d1d2", "d1c2", "c1h6", "c1g5", "c1f4", "c1e3", "c1d2", "a1b1", "c3c4", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "f3e5", "solution_full": ["f3e5", "d6d1", "e1d1"], "themes": ["advantage", "opening", "short"], "rating": 1566, "puzzle_id": "5gs2E"} {"fen": "r1bqkb1r/pp3ppp/2n2n2/3p2B1/3P4/2N5/PP3PPP/R2QKBNR w KQkq -", "source": "stockfish_multipv", "best_move": "g1f3", "candidate_ratings": [{"uci": "g1f3", "rank": 1, "expectation": 0.5033332839514952, "pv_line": "g1f3 f8b4 f1b5 b4c3 b2c3 d8a5 b5c6 b7c6", "cp": 4}, {"uci": "f1b5", "rank": 2, "expectation": 0.5016666604938546, "pv_line": "f1b5 f8e7 g1f3 c8g4 h2h3 g4f3 d1f3 e8g8", "cp": 2}, {"uci": "g1e2", "rank": 3, "expectation": 0.5, "pv_line": "g1e2 f8e7 g2g3 e8g8 f1g2 h7h6 g5f6 e7f6", "cp": 0}, {"uci": "f1d3", "rank": 4, "expectation": 0.5, "pv_line": "f1d3 h7h6 g5f6 d8f6 c3d5 f6d6 d5c3 d6d4", "cp": 0}, {"uci": "g2g3", "rank": 5, "expectation": 0.4983333395061454, "pv_line": "g2g3 h7h6 g5f6 d8f6 f1g2 f6d4 g1e2 d4d1", "cp": -2}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate g1f3: +4cp; Bucket: equal\n2. Candidate f1b5: +2cp; Bucket: equal\n3. Candidate g1e2: +0cp; Bucket: equal\n4. Candidate f1d3: +0cp; Bucket: equal\n5. Candidate g2g3: -2cp; Bucket: equal\n6. Best: f1b5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g1f3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate g1f3: +4cp; Bucket: equal\nCandidate f1b5: +2cp; Bucket: equal\nCandidate g1e2: +0cp; Bucket: equal\nCandidate f1d3: +0cp; Bucket: equal\nCandidate g2g3: -2cp; Bucket: equal\nBest: g1f3", "displayed_trace": "Candidate g1f3: +4cp; Bucket: equal\nCandidate f1b5: +2cp; Bucket: equal\nCandidate g1e2: +0cp; Bucket: equal\nCandidate f1d3: +0cp; Bucket: equal\nCandidate g2g3: -2cp; Bucket: equal\nBest: f1b5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be g1f3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g1f3."}} {"fen": "r1bq1rk1/pppp1ppp/2n2n2/1Bb1p3/4P3/5N2/PPPP1PPP/RNBQR1K1 w - -", "best_move": "c2c3", "pv_line": "c2c3 d7d5 e4d5 d8d5 b5c6 b7c6 f3e5 c5d6 d2d4 c6c5", "depth": 36, "knodes": 102780, "cp": 36, "mate": null, "eval_perspective": "white"} {"fen": "4r1k1/8/np4p1/p2p1pq1/2bP4/P3P2R/1P1Q2P1/RN2K3 b Q - 2 25", "side": "black", "legal_moves": ["g8f8", "g8g7", "g8f7", "e8f8", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "a6b8", "a6c7", "a6c5", "a6b4", "g5d8", "g5e7", "g5h6", "g5f6", "g5h5", "g5h4", "g5g4", "g5f4", "g5g3", "g5e3", "g5g2", "c4b5", "c4d3", "c4b3", "c4e2", "c4a2", "c4f1", "b6b5", "f5f4", "a5a4"], "solution_first_move": "f5f4", "solution_full": ["f5f4", "e1f2", "f4e3", "h3e3", "g5f4"], "themes": ["crushing", "exposedKing", "fork", "long", "middlegame"], "rating": 2228, "puzzle_id": "8I34C"} {"fen": "r2r2k1/1q1n1ppp/pp1Rp3/1N2P3/2P2B2/P7/3Q1PbP/3R2K1 w - - 0 25", "side": "white", "legal_moves": ["d6d7", "d6e6", "d6c6", "d6b6", "d6d5", "d6d4", "d6d3", "b5c7", "b5a7", "b5d4", "b5c3", "f4h6", "f4g5", "f4g3", "f4e3", "d2d5", "d2a5", "d2d4", "d2b4", "d2e3", "d2d3", "d2c3", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2c1", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "c4c5", "a3a4", "h2h3", "f2f3", "h2h4"], "solution_first_move": "d6d7", "solution_full": ["d6d7", "d8d7", "d2d7", "b7d7", "d1d7", "a6b5", "g1g2"], "themes": ["advantage", "middlegame", "veryLong"], "rating": 1575, "puzzle_id": "BIKsL"} {"fen": "8/6p1/5p1p/2rk4/P4RP1/7P/6K1/8 w - - 2 40", "side": "white", "legal_moves": ["f4f6", "f4f5", "f4e4", "f4d4", "f4c4", "f4b4", "f4f3", "f4f2", "f4f1", "g2g3", "g2f3", "g2h2", "g2f2", "g2h1", "g2g1", "g2f1", "g4g5", "a4a5", "h3h4"], "solution_first_move": "f4f5", "solution_full": ["f4f5", "d5d4", "f5c5", "d4c5", "g2f3", "g7g6", "f3e4"], "themes": ["crushing", "defensiveMove", "endgame", "rookEndgame", "veryLong"], "rating": 1938, "puzzle_id": "9wz6u"} {"fen": "r5k1/1pq1n1pp/p7/2bRp1N1/4p3/1QP4P/Pr4P1/R1B3K1 w - - 0 21", "side": "white", "legal_moves": ["g1h2", "g1h1", "g1f1", "d5c5", "d5d4", "c1e3"], "solution_first_move": "d5c5", "solution_full": ["d5c5", "b2b3", "c5c7"], "themes": ["advantage", "discoveredAttack", "discoveredCheck", "master", "masterVsMaster", "middlegame", "short"], "rating": 1216, "puzzle_id": "5WGRn"} {"fen": "rnb1r1k1/ppq2p2/2p2nB1/3p2Np/8/2P1P1P1/PPQN1PP1/2KR3R b - - 0 14", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8g7", "e8f8", "e8d8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "c8d7", "c8e6", "c8f5", "c8g4", "c8h3", "b8d7", "b8a6", "c7d8", "c7e7", "c7d7", "c7d6", "c7b6", "c7e5", "c7a5", "c7f4", "c7g3", "f6h7", "f6d7", "f6g4", "f6e4", "f7g6", "b7b6", "a7a6", "c6c5", "h5h4", "d5d4", "b7b5", "a7a5"], "solution_first_move": "f7g6", "solution_full": ["f7g6", "c2g6", "c7g7"], "themes": ["advantage", "middlegame", "short"], "rating": 1655, "puzzle_id": "DcdzD"} {"fen": "8/5k2/6R1/7P/6PK/8/8/r7 w - -", "source": "stockfish_multipv", "best_move": "h4g5", "candidate_ratings": [{"uci": "h4g5", "rank": 1, "expectation": 0.8728800110459276, "pv_line": "h4g5 a1a8 g6b6 f7g7 h5h6 g7h7 b6b7 h7g8", "cp": 578}, {"uci": "g6b6", "rank": 2, "expectation": 0.8728800110459276, "pv_line": "g6b6 a1c1 h5h6 c1c5 g4g5 f7g8 h4h5 g8h7", "cp": 578}, {"uci": "g6c6", "rank": 3, "expectation": 0.8728800110459276, "pv_line": "g6c6 f7g8 c6b6 a1a5 b6b8 g8h7 b8b7 h7g8", "cp": 578}, {"uci": "g6d6", "rank": 4, "expectation": 0.8728800110459276, "pv_line": "g6d6 f7g7 d6b6 a1a5 b6b7 g7h8 h5h6 a5c5", "cp": 578}, {"uci": "g6h6", "rank": 5, "expectation": 0.8593618742658659, "pv_line": "g6h6 f7g7 h6b6 a1a5 b6b7 g7h8 h5h6 a5c5", "cp": 543}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "6rb/r2k4/2pB2p1/4P2p/6bP/P2B4/2P3P1/2K2R2 w - - 5 39", "side": "white", "legal_moves": ["d6f8", "d6b8", "d6e7", "d6c7", "d6c5", "d6b4", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "f1f8", "f1f7", "f1f6", "f1f5", "f1f4", "f1f3", "f1f2", "f1h1", "f1g1", "f1e1", "f1d1", "c1d2", "c1b2", "c1b1", "e5e6", "a3a4", "g2g3", "c2c3", "c2c4"], "solution_first_move": "f1f7", "solution_full": ["f1f7", "d7c8", "f7a7"], "themes": ["advantage", "middlegame", "short", "skewer"], "rating": 1028, "puzzle_id": "EVhjj"} {"fen": "r1b1k2r/pp1n1ppp/2p1p3/8/1bPPp2B/2N1P3/qP3PPP/2RQKB1R w Kkq -", "source": "stockfish_multipv", "best_move": "d1c2", "candidate_ratings": [{"uci": "d1c2", "rank": 1, "expectation": 0.5432251644818576, "pv_line": "d1c2 d7b6 f1e2 a7a5 e1g1 b4c3 c2c3 b6a4", "cp": 52}, {"uci": "c1c2", "rank": 2, "expectation": 0.5108316384355474, "pv_line": "c1c2 a2b3 f1e2 e8g8 e1g1 f7f5 g2g4 e6e5", "cp": 13}, {"uci": "d1d2", "rank": 3, "expectation": 0.4700359482354282, "pv_line": "d1d2 a2b3 f1e2 e6e5 c4c5 e8g8 e1g1 f8e8", "cp": -36}, {"uci": "c1b1", "rank": 4, "expectation": 0.4542946124155941, "pv_line": "c1b1 d7b6 f1e2 b6a4 e1g1 b4c3 b1a1 a2b2", "cp": -55}, {"uci": "d1e2", "rank": 5, "expectation": 0.44439758518083483, "pv_line": "d1e2 a2b3 e2d2 e8g8 f1e2 e6e5 e1g1 e5d4", "cp": -67}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d1c2: +52cp; Bucket: slight edge\n2. Candidate c1c2: +13cp; Bucket: equal\n3. Candidate d1d2: -36cp; Bucket: equal\n4. Candidate c1b1: -55cp; Bucket: slight edge\n5. Candidate d1e2: -67cp; Bucket: slight edge\n6. Best: c1c2", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1c2.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d1c2: +52cp; Bucket: slight edge\nCandidate c1c2: +13cp; Bucket: equal\nCandidate d1d2: -36cp; Bucket: equal\nCandidate c1b1: -55cp; Bucket: slight edge\nCandidate d1e2: -67cp; Bucket: slight edge\nBest: d1c2", "displayed_trace": "Candidate d1c2: +52cp; Bucket: slight edge\nCandidate c1c2: +13cp; Bucket: equal\nCandidate d1d2: -36cp; Bucket: equal\nCandidate c1b1: -55cp; Bucket: slight edge\nCandidate d1e2: -67cp; Bucket: slight edge\nBest: c1c2", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d1c2.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1c2."}} {"fen": "1r3rk1/1b3ppp/1p2p3/4q3/4B1P1/P7/1P1RQPP1/3R2K1 w - - 1 23", "side": "white", "legal_moves": ["e4h7", "e4b7", "e4g6", "e4c6", "e4f5", "e4d5", "e4f3", "e4d3", "e4c2", "e4b1", "e2a6", "e2b5", "e2c4", "e2f3", "e2e3", "e2d3", "e2f1", "e2e1", "d2d8", "d2d7", "d2d6", "d2d5", "d2d4", "d2d3", "d2c2", "g1h1", "g1f1", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "g4g5", "a3a4", "g2g3", "f2f3", "b2b3", "f2f4", "b2b4"], "solution_first_move": "e4h7", "solution_full": ["e4h7", "g8h7", "e2e5"], "themes": ["crushing", "discoveredAttack", "kingsideAttack", "middlegame", "short"], "rating": 1194, "puzzle_id": "CEmyT"} {"fen": "r3k1r1/pp1qb1pQ/3p1pb1/2p5/5Pn1/2N5/PP4PP/R1B1R1K1 w q - 0 16", "side": "white", "legal_moves": ["h7h8", "h7g8", "h7g7", "h7h6", "h7g6", "h7h5", "h7h4", "h7h3", "c3d5", "c3b5", "c3e4", "c3a4", "c3e2", "c3d1", "c3b1", "g1h1", "g1f1", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "c1e3", "c1d2", "a1b1", "f4f5", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "b2b4", "a2a4"], "solution_first_move": "h7g8", "solution_full": ["h7g8"], "themes": ["hangingPiece", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 1420, "puzzle_id": "J1qmx"} {"fen": "8/2b5/p1r3kp/1p3Np1/1P2p1P1/5p1P/3R1K2/8 w - - 6 45", "side": "white", "legal_moves": ["f5g7", "f5e7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "f2e3", "f2g1", "f2f1", "f2e1", "d2d8", "d2d7", "d2d6", "d2d5", "d2d4", "d2d3", "d2e2", "d2c2", "d2b2", "d2a2", "d2d1", "h3h4"], "solution_first_move": "f5e7", "solution_full": ["f5e7", "g6g7", "e7c6"], "themes": ["advantage", "endgame", "fork", "short"], "rating": 948, "puzzle_id": "4aJ5W"} {"fen": "7r/1R6/4p3/6P1/K1k5/8/PP6/3R4 b - - 2 36", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "h8d8", "h8c8", "h8b8", "h8a8", "h8h7", "h8h6", "h8h5", "h8h4", "h8h3", "h8h2", "h8h1", "c4c5", "e6e5"], "solution_first_move": "h8a8", "solution_full": ["h8a8", "b7a7", "a8a7"], "themes": ["endgame", "mate", "mateIn2", "rookEndgame", "short"], "rating": 847, "puzzle_id": "IBjnW"} {"fen": "7k/p1p2Rrp/1p2np1N/4p3/4P1P1/2P1K3/PP5P/8 b - - 0 29", "side": "black", "legal_moves": ["g7g8", "g7f7", "g7g6", "g7g5", "g7g4", "e6f8", "e6d8", "e6g5", "e6c5", "e6f4", "e6d4", "c7c6", "a7a6", "f6f5", "b6b5", "c7c5", "a7a5"], "solution_first_move": "g7f7", "solution_full": ["g7f7", "h6f7", "h8g7", "f7e5", "f6e5"], "themes": ["advantage", "endgame", "long", "trappedPiece"], "rating": 1795, "puzzle_id": "AX4FW"} {"fen": "r6k/p5pp/6bB/2PPQ3/2B5/2K2r2/PP3p2/R2q4 w - - 2 36", "side": "white", "legal_moves": ["c3b4", "h6e3", "e5e3", "c4d3"], "solution_first_move": "c3b4", "solution_full": ["c3b4", "a7a5", "b4b5", "g6e8", "e5e8", "a8e8", "a1d1"], "themes": ["crushing", "defensiveMove", "middlegame", "pin", "veryLong"], "rating": 2636, "puzzle_id": "BsJAZ"} {"fen": "8/8/3K4/8/p3P3/1k2N3/8/8 b - - 3 56", "side": "black", "legal_moves": ["b3b4", "b3c3", "b3a3", "b3b2", "b3a2", "a4a3"], "solution_first_move": "a4a3", "solution_full": ["a4a3", "e4e5", "a3a2"], "themes": ["advancedPawn", "advantage", "endgame", "knightEndgame", "master", "short"], "rating": 489, "puzzle_id": "7q9uc"} {"fen": "8/8/6p1/1p2B2p/2b2P1P/3k2P1/5K2/8 b - - 7 64", "side": "black", "legal_moves": ["c4g8", "c4f7", "c4e6", "c4d5", "c4b3", "c4a2", "d3e4", "d3d2", "d3c2", "g6g5", "b5b4"], "solution_first_move": "b5b4", "solution_full": ["b5b4", "g3g4", "h5g4"], "themes": ["bishopEndgame", "crushing", "endgame", "quietMove", "short"], "rating": 1607, "puzzle_id": "6sr0Q"} {"fen": "r2q1r1k/ppp1n1b1/3pPnpp/4p3/1PP1P3/2N5/P3B1PP/1RBQR1K1 b - -", "source": "stockfish_multipv", "best_move": "e7c6", "candidate_ratings": [{"uci": "e7c6", "rank": 1, "expectation": 0.4493410852387413, "pv_line": "e7c6 c3d5 f6g8 e2d3 c6d4 d1g4 d8c8 g4g6", "cp": -61}, {"uci": "f8e8", "rank": 2, "expectation": 0.40451998971625175, "pv_line": "f8e8 d1d3 e7g8 d3h3 c7c6 e1d1 d8e7 b4b5", "cp": -116}, {"uci": "c7c6", "rank": 3, "expectation": 0.3989121211516302, "pv_line": "c7c6 d1d3 d6d5 e4d5 c6d5 c4d5 f6d5 c3d5", "cp": -123}, {"uci": "d8e8", "rank": 4, "expectation": 0.39731466202150834, "pv_line": "d8e8 d1d3 e7g8 d3h3 c7c6 e1d1 e8e7 c1e3", "cp": -125}, {"uci": "h8h7", "rank": 5, "expectation": 0.3965167501352737, "pv_line": "h8h7 b4b5 e7g8 c1e3 f8e8 d1b3 e8e6 c4c5", "cp": -126}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "r1b1k2r/pp1n1ppp/2p2n2/4p1B1/2PbP3/2NB4/PP4PP/R2K1R2 w kq -", "source": "stockfish_multipv", "best_move": "d1d2", "candidate_ratings": [{"uci": "d1d2", "rank": 1, "expectation": 0.10974647650365506, "pv_line": "d1d2 h8g8 d2c2 d7c5 g5d2 c5e6 c3e2 d4c5", "cp": -628}, {"uci": "h2h3", "rank": 2, "expectation": 0.10909682119561293, "pv_line": "h2h3 h7h6 g5d2 d7c5 d1c2 c5d3 c2d3 c8e6", "cp": -630}, {"uci": "d1c2", "rank": 3, "expectation": 0.10909682119561293, "pv_line": "d1c2 h7h6 g5h4 f6g4 f1e1 d7c5 h2h3 g4e3", "cp": -630}, {"uci": "g5d2", "rank": 4, "expectation": 0.10877326074856142, "pv_line": "g5d2 d7c5 d1c2 h7h5 d2g5 c5d3 c2d3 f6d7", "cp": -631}, {"uci": "c3e2", "rank": 5, "expectation": 0.10526938952250978, "pv_line": "c3e2 d4b2 a1b1 b2a3 e2g3 h7h5 g3f5 a3f8", "cp": -642}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d1d2: -628cp; Bucket: decisive\n2. Candidate h2h3: -630cp; Bucket: decisive\n3. Candidate d1c2: -630cp; Bucket: decisive\n4. Candidate g5d2: -631cp; Bucket: decisive\n5. Candidate c3e2: -642cp; Bucket: decisive\n6. Best: h2h3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1d2.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d1d2: -628cp; Bucket: decisive\nCandidate h2h3: -630cp; Bucket: decisive\nCandidate d1c2: -630cp; Bucket: decisive\nCandidate g5d2: -631cp; Bucket: decisive\nCandidate c3e2: -642cp; Bucket: decisive\nBest: d1d2", "displayed_trace": "Candidate d1d2: -628cp; Bucket: decisive\nCandidate h2h3: -630cp; Bucket: decisive\nCandidate d1c2: -630cp; Bucket: decisive\nCandidate g5d2: -631cp; Bucket: decisive\nCandidate c3e2: -642cp; Bucket: decisive\nBest: h2h3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d1d2.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1d2."}} {"fen": "3Rrqk1/r4p1p/p3pQp1/8/8/2P4P/5PP1/3R2K1 w - - 6 32", "side": "white", "legal_moves": ["d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "d8d4", "d8d3", "d8d2", "f6h8", "f6g7", "f6f7", "f6e7", "f6g6", "f6e6", "f6g5", "f6f5", "f6e5", "f6h4", "f6f4", "f6d4", "f6f3", "g1h2", "g1h1", "g1f1", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "h3h4", "c3c4", "g2g3", "f2f3", "g2g4", "f2f4"], "solution_first_move": "d8e8", "solution_full": ["d8e8", "f8e8", "d1d8", "a7a8", "d8e8"], "themes": ["attraction", "clearance", "crushing", "endgame", "long", "pin"], "rating": 1066, "puzzle_id": "K5gxq"} {"fen": "r1bq1rk1/ppp1pp1p/3p3Q/8/2B1P3/P1NP4/1Pn2PP1/R3K1N1 w Q - 0 12", "side": "white", "legal_moves": ["e1e2", "e1d2", "e1f1", "e1d1"], "solution_first_move": "e1d2", "solution_full": ["e1d2", "d6d5", "c3d5", "c2a1", "g1f3", "d8d6", "d5e7", "d6e7", "f3g5", "e7g5", "h6g5"], "themes": ["advantage", "defensiveMove", "kingsideAttack", "middlegame", "quietMove", "sacrifice", "veryLong"], "rating": 2722, "puzzle_id": "69e5Q"} {"fen": "1nr4q/5pk1/p1n1pNpr/1p1pP3/1P1P1QP1/P4N2/2R2P2/2R3K1 b - - 4 36", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "h8d8", "h8h7", "c8g8", "c8f8", "c8e8", "c8d8", "c8c7", "b8d7", "g7f8", "h6h7", "h6h5", "h6h4", "h6h3", "h6h2", "h6h1", "c6d8", "c6e7", "c6a7", "c6e5", "c6a5", "c6d4", "c6b4", "g6g5", "a6a5"], "solution_first_move": "h6h1", "solution_full": ["h6h1", "g1g2", "h8h3"], "themes": ["kingsideAttack", "mate", "mateIn2", "middlegame", "short"], "rating": 1184, "puzzle_id": "2WhQk"} {"fen": "8/4K3/8/8/1k6/R7/7R/8 w - -", "source": "stockfish_multipv", "best_move": "h2h3", "candidate_ratings": [{"uci": "h2h3", "rank": 1, "expectation": 1.0, "pv_line": "h2h3 b4c5 h3c3 c5b6 a3b3 b6a5 c3g3 a5a6", "mate": 6}, {"uci": "a3g3", "rank": 2, "expectation": 1.0, "pv_line": "a3g3 b4c5 h2h4 c5c6 g3c3 c6b5 c3c8 b5a6", "mate": 7}, {"uci": "a3f3", "rank": 3, "expectation": 1.0, "pv_line": "a3f3 b4c5 h2h4 c5c6 f3c3 c6b5 c3c8 b5a6", "mate": 7}, {"uci": "a3e3", "rank": 4, "expectation": 1.0, "pv_line": "a3e3 b4c5 h2h4 c5c6 e3c3 c6b5 c3c8 b5a6", "mate": 7}, {"uci": "a3d3", "rank": 5, "expectation": 1.0, "pv_line": "a3d3 b4c4 d3f3 c4c5 h2h4 c5c6 f3c3 c6b5", "mate": 8}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h2h3: M6; Bucket: forced mate\n2. Candidate a3g3: M7; Bucket: forced mate\n3. Candidate a3f3: M7; Bucket: forced mate\n4. Candidate a3e3: M7; Bucket: forced mate\n5. Candidate a3d3: M8; Bucket: forced mate\n6. Best: a3g3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h2h3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h2h3: M6; Bucket: forced mate\nCandidate a3g3: M7; Bucket: forced mate\nCandidate a3f3: M7; Bucket: forced mate\nCandidate a3e3: M7; Bucket: forced mate\nCandidate a3d3: M8; Bucket: forced mate\nBest: h2h3", "displayed_trace": "Candidate h2h3: M6; Bucket: forced mate\nCandidate a3g3: M7; Bucket: forced mate\nCandidate a3f3: M7; Bucket: forced mate\nCandidate a3e3: M7; Bucket: forced mate\nCandidate a3d3: M8; Bucket: forced mate\nBest: a3g3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h2h3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h2h3."}} {"fen": "4b2k/6RP/4N3/6K1/ppp5/3p1p2/PPn2P2/8 b - - 0 46", "side": "black", "legal_moves": ["e8f7", "e8d7", "e8g6", "e8c6", "e8h5", "e8b5", "c2d4", "c2e3", "c2a3", "c2e1", "c2a1", "c4c3", "b4b3", "a4a3", "d3d2"], "solution_first_move": "c2d4", "solution_full": ["c2d4", "g7e7", "d3d2"], "themes": ["advancedPawn", "advantage", "endgame", "short"], "rating": 2248, "puzzle_id": "Aa83v"} {"fen": "4rrk1/ppp2Rpp/3p2n1/3P4/8/8/PP2qQPP/5RK1 w - - 0 23", "side": "white", "legal_moves": ["f7f8", "f7g7", "f7e7", "f7d7", "f7c7", "f7f6", "f7f5", "f7f4", "f7f3", "f2a7", "f2f6", "f2b6", "f2f5", "f2c5", "f2h4", "f2f4", "f2d4", "f2g3", "f2f3", "f2e3", "f2e2", "f2e1", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "f7f8", "solution_full": ["f7f8", "e8f8", "f2e2"], "themes": ["crushing", "middlegame", "short"], "rating": 1405, "puzzle_id": "3Ayqh"} {"fen": "6k1/pp2P1pp/2p5/3P4/P7/4Q1Pb/5K1P/1q5B b - - 1 29", "side": "black", "legal_moves": ["g8h8", "g8f7", "h3c8", "h3d7", "h3e6", "h3f5", "h3g4", "h3g2", "h3f1", "b1g6", "b1b6", "b1f5", "b1b5", "b1e4", "b1b4", "b1d3", "b1b3", "b1c2", "b1b2", "b1a2", "b1h1", "b1g1", "b1f1", "b1e1", "b1d1", "b1c1", "b1a1", "c6d5", "h7h6", "g7g6", "b7b6", "a7a6", "c6c5", "h7h5", "g7g5", "b7b5", "a7a5"], "solution_first_move": "b1f1", "solution_full": ["b1f1"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove", "swallowstailMate"], "rating": 1192, "puzzle_id": "9NEEQ"} {"fen": "r1bqk2r/pp3ppp/2np1n2/1B1p4/3P1B2/8/PPP2PPP/R2QK1NR b KQkq - 1 8", "side": "black", "legal_moves": ["h8g8", "h8f8", "e8f8", "e8e7", "e8d7", "d8e7", "d8d7", "d8c7", "d8b6", "d8a5", "c8d7", "c8e6", "c8f5", "c8g4", "c8h3", "a8b8", "f6g8", "f6d7", "f6h5", "f6g4", "f6e4", "e8g8", "h7h6", "g7g6", "b7b6", "a7a6", "h7h5", "g7g5", "a7a5"], "solution_first_move": "d8a5", "solution_full": ["d8a5", "c2c3", "a5b5", "d1e2", "b5e2"], "themes": ["advantage", "fork", "long", "opening"], "rating": 1606, "puzzle_id": "33lvC"} {"fen": "rn1qkb1r/pp2pppp/2p5/5bB1/P1pPn3/2N1PN2/1P3PPP/R2QKB1R b KQkq -", "best_move": "e4g5", "pv_line": "e4g5 f3g5 e7e6 g5f3 b8a6 f1c4 a6b4 e1g1 f8d6 a4a5", "depth": 34, "knodes": 12568, "cp": -13, "mate": null, "eval_perspective": "white"} {"fen": "6r1/1p1n1p1k/3qpPp1/6Qp/2p3P1/Ppp4R/1P5P/4R1K1 w - - 0 31", "side": "white", "legal_moves": ["g5h6", "g5g6", "g5h5", "g5f5", "g5e5", "g5d5", "g5c5", "g5b5", "g5a5", "g5h4", "g5f4", "g5e3", "g5d2", "g5c1", "h3h5", "h3h4", "h3g3", "h3f3", "h3e3", "h3d3", "h3c3", "g1g2", "g1f2", "g1h1", "g1f1", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "g4h5", "b2c3", "a3a4"], "solution_first_move": "h3h5", "solution_full": ["h3h5", "g6h5", "g5h5"], "themes": ["endgame", "mate", "mateIn2", "sacrifice", "short"], "rating": 1096, "puzzle_id": "1D2Is"} {"fen": "3r2k1/pQ3p1p/5rpb/8/1P1q4/P5P1/5PBP/3R1RK1 b - - 2 29", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8g7", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "h6f8", "h6g7", "h6g5", "h6f4", "h6e3", "h6d2", "h6c1", "f6e6", "f6d6", "f6c6", "f6b6", "f6a6", "f6f5", "f6f4", "f6f3", "f6f2", "d4d7", "d4d6", "d4b6", "d4e5", "d4d5", "d4c5", "d4h4", "d4g4", "d4f4", "d4e4", "d4c4", "d4b4", "d4e3", "d4d3", "d4c3", "d4f2", "d4d2", "d4b2", "d4d1", "d4a1", "a7a6", "g6g5", "a7a5"], "solution_first_move": "d4d1", "solution_full": ["d4d1", "f1d1", "d8d1", "g2f1", "h6e3", "f2e3", "d1f1"], "themes": ["crushing", "master", "middlegame", "veryLong"], "rating": 2406, "puzzle_id": "FOz6b"} {"fen": "rn2k2r/pp2pp1p/2p2p1b/B7/8/3Q1N2/qPP2PPP/2KR3R w kq -", "source": "stockfish_multipv", "best_move": "d3e3", "candidate_ratings": [{"uci": "d3e3", "rank": 1, "expectation": 0.06376472515792742, "pv_line": "d3e3 h6e3 f2e3 a2a1 c1d2 a1a5 d2e2 h8g8", "cp": -806}, {"uci": "f3g5", "rank": 2, "expectation": 0.04712560252300207, "pv_line": "f3g5 h6g5 d3e3 a2a1 c1d2 a1a5 c2c3 g5e3", "cp": -902}, {"uci": "f3d2", "rank": 3, "expectation": 0.0, "pv_line": "f3d2 a2a1", "mate": -1}, {"uci": "a5d2", "rank": 4, "expectation": 0.0, "pv_line": "a5d2 a2a1", "mate": -1}, {"uci": "d1d2", "rank": 5, "expectation": 0.0, "pv_line": "d1d2 a2a1", "mate": -1}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d3e3: -806cp; Bucket: decisive\n2. Candidate f3g5: -902cp; Bucket: decisive\n3. Candidate f3d2: M-1; Bucket: forced mate\n4. Candidate a5d2: M-1; Bucket: forced mate\n5. Candidate d1d2: M-1; Bucket: forced mate\n6. Best: f3g5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d3e3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d3e3: -806cp; Bucket: decisive\nCandidate f3g5: -902cp; Bucket: decisive\nCandidate f3d2: M-1; Bucket: forced mate\nCandidate a5d2: M-1; Bucket: forced mate\nCandidate d1d2: M-1; Bucket: forced mate\nBest: d3e3", "displayed_trace": "Candidate d3e3: -806cp; Bucket: decisive\nCandidate f3g5: -902cp; Bucket: decisive\nCandidate f3d2: M-1; Bucket: forced mate\nCandidate a5d2: M-1; Bucket: forced mate\nCandidate d1d2: M-1; Bucket: forced mate\nBest: f3g5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d3e3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d3e3."}} {"fen": "rnbqk2r/pp2ppbp/3p1np1/8/2BPP3/5N2/PP3PPP/RNBQK2R w KQkq -", "best_move": "c4d3", "pv_line": "c4d3 e8g8 h2h3 e7e5 d4d5 b8a6 b1c3 a6c5 e1g1 c5d3", "depth": 33, "knodes": 86493, "cp": 30, "mate": null, "eval_perspective": "white"} {"fen": "6rk/Q5pp/3q4/1p6/2b5/P1B1P1RP/1P3PPK/3r4 w - - 7 36", "side": "white", "legal_moves": ["a7b8", "a7a8", "a7g7", "a7f7", "a7e7", "a7d7", "a7c7", "a7b7", "a7b6", "a7a6", "a7c5", "a7a5", "a7d4", "a7a4", "c3g7", "c3f6", "c3e5", "c3a5", "c3d4", "c3b4", "c3d2", "c3e1", "h3h4", "e3e4", "a3a4", "f2f3", "b2b3", "f2f4", "b2b4"], "solution_first_move": "c3g7", "solution_full": ["c3g7", "g8g7", "a7g7"], "themes": ["mate", "mateIn2", "middlegame", "short"], "rating": 1477, "puzzle_id": "7lHvh"} {"fen": "8/1k6/8/3KN3/3B4/8/8/8 b - -", "best_move": "b7c7", "pv_line": "b7c7 e5c4 c7b7 d5d6 b7a8 d6c6 a8b8 c4b6 b8a7 d4e5", "depth": 80, "knodes": 46712, "cp": null, "mate": 24, "eval_perspective": "white"} {"fen": "4rk2/p1pR1p2/1p5p/6p1/5P2/2PRBqP1/PP6/6K1 w - - 1 26", "side": "white", "legal_moves": ["d7d8", "d7f7", "d7e7", "d7c7", "d7d6", "d7d5", "d7d4", "e3b6", "e3c5", "e3d4", "e3f2", "e3d2", "e3c1", "d3d6", "d3d5", "d3d4", "d3d2", "d3d1", "g1h2", "f4g5", "f4f5", "g3g4", "c3c4", "b2b3", "a2a3", "b2b4", "a2a4"], "solution_first_move": "e3c5", "solution_full": ["e3c5", "b6c5", "d3f3"], "themes": ["advantage", "discoveredAttack", "endgame", "short"], "rating": 1115, "puzzle_id": "75lLM"} {"fen": "rnbqkb1r/ppp2ppp/5n2/4p3/4P3/2NB4/PPP2PPP/R1BQK1NR b KQkq -", "best_move": "b8d7", "pv_line": "b8d7 h2h3 c7c6 c1e3 a7a5 g1f3 f8d6 e1g1 e8g8 a2a4", "depth": 34, "knodes": 109790, "cp": -9, "mate": null, "eval_perspective": "white"} {"fen": "rnbqk2r/1p3pbp/p2p1np1/2pP4/P4B2/2N2N2/1P2PPPP/R2QKB1R w KQkq -", "best_move": "h2h3", "pv_line": "h2h3 e8g8 e2e3 b8d7 f1e2 f6e8 a4a5 d7e5 f4e5 d6e5", "depth": 31, "knodes": 287543, "cp": 71, "mate": null, "eval_perspective": "white"} {"fen": "8/4Rppk/3P3p/3p4/2b3q1/P3Q1B1/4p2P/6K1 b - 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- 5 62", "side": "white", "legal_moves": ["f7g8", "f7f8", "f7e8", "f7h7", "f7g7", "f7e7", "f7d7", "f7c7", "f7b7", "f7a7", "f7f6", "f7e6", "f7f5", "f7d5", "f7f4", "f7c4", "f7f3", "f7b3", "f7f2", "f7a2", "f7f1", "g6h7", "g6g7", "g6h6", "g6h5", "g6g5"], "solution_first_move": "f7f6", "solution_full": ["f7f6", "e5e4", "f6c6", "e4d3", "c6h1"], "themes": ["crushing", "endgame", "long", "queenEndgame", "skewer"], "rating": 2057, "puzzle_id": "5Eqeh"} {"fen": "5k2/7p/1p2P1p1/5p2/2P5/P1K2P2/8/8 w - - 1 43", "side": "white", "legal_moves": ["c3d4", "c3b4", "c3d3", "c3b3", "c3d2", "c3c2", "c3b2", "e6e7", "c4c5", "f3f4", "a3a4"], "solution_first_move": "c4c5", "solution_full": ["c4c5", "b6c5", "a3a4"], "themes": ["crushing", "defensiveMove", "endgame", "pawnEndgame", "short"], "rating": 2086, "puzzle_id": "55zz6"} {"fen": "r2q1rk1/pp3pb1/2npp1p1/7p/3NP1nP/2N5/PPPQ4/R3KBBR w KQ -", "best_move": "f1e2", "pv_line": "f1e2 g7h6 d2d3 c6e5 d3g3 a8c8 h1h3 a7a6 a2a4 d8e7", "depth": 30, "knodes": 103411, "cp": 56, "mate": null, "eval_perspective": "white"} {"fen": "2k5/ppp5/2p5/2P5/2N1Ppqp/2P3r1/PP3QRK/8 b - 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- 0 43", "side": "black", "legal_moves": ["c6e8", "c6c8", "c6a8", "c6d7", "c6c7", "c6b7", "c6g6", "c6f6", "c6e6", "c6d6", "c6d5", "c6c5", "c6b5", "c6e4", "c6c4", "c6a4", "c6f3", "c6c3", "c6g2", "c2g6", "c2f5", "c2c5", "c2e4", "c2c4", "c2a4", "c2d3", "c2c3", "c2b3", "c2g2", "c2f2", "c2e2", "c2d2", "c2b2", "c2a2", "c2d1", "c2c1", "c2b1", "g7g6", "h6h5", "b6b5", "g7g5"], "solution_first_move": "c2g2", "solution_full": ["c2g2"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove", "queenEndgame"], "rating": 809, "puzzle_id": "AV6vg"} {"fen": "r3kb1r/pp1n1pp1/1q2p2p/2ppP1P1/3P3P/P1NQB3/1PP2P2/2KR3R b kq -", "source": "stockfish_multipv", "best_move": "b6a6", "candidate_ratings": [{"uci": "b6a6", "rank": 1, "expectation": 0.45181665544957894, "pv_line": "b6a6 d3a6 b7a6 f2f4 a8c8 f4f5 c5d4 e3d4", "cp": -58}, {"uci": "c5d4", "rank": 2, "expectation": 0.42800386706848137, "pv_line": "c5d4 e3d4 f8c5 c3a4 b6c6 a4c5 d7c5 d3e3", "cp": -87}, {"uci": "e8c8", "rank": 3, "expectation": 0.42392857554328783, "pv_line": "e8c8 g5g6 c5c4 d3e2 f7f5 e5f6 d7f6 e3f4", "cp": -92}, {"uci": "f8e7", "rank": 4, "expectation": 0.41419097843501507, "pv_line": "f8e7 g5h6 g7h6 h4h5 b6c6 d1g1 a8c8 c1b1", "cp": -104}, {"uci": "h6g5", "rank": 5, "expectation": 0.40371730070321216, "pv_line": "h6g5 h4g5 h8h1 d1h1 e8c8 g5g6 f7g6 e3g5", "cp": -117}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "8/Q4pkp/2P3p1/3B1b2/1q6/7P/5PP1/6K1 b - 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- 5 26", "side": "black", "legal_moves": ["g8e7", "g8f6", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "d8d4", "d8d3", "h7h8", "g7h8", "g7f8", "g7f6", "e6c8", "e6d7", "e6f5", "e6d5", "e6g4", "e6c4", "e6h3", "e6b3", "e6a2", "e3b6", "e3g5", "e3c5", "e3f4", "e3e4", "e3d4", "e3f3", "e3d3", "e3f2", "e3e2", "e3d2", "e3c1", "f7f6", "a7a6", "h6h5", "g6g5", "f7f5", "a7a5"], "solution_first_move": "d8d3", "solution_full": ["d8d3", "c1e3", "d3e3"], "themes": ["advantage", "middlegame", "short"], "rating": 1488, "puzzle_id": "81W6M"} {"fen": "8/4k3/1p6/8/2q5/2P1K2Q/8/8 w - -", "best_move": "h3h7", "pv_line": "h3h7 e7d6 h7g6 d6c7 g6g7 c7c6 g7d4 c4e6 e3d2 c6b5", "depth": 42, "knodes": 9426, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "rnbq1rk1/pppnppbp/6p1/4N3/2BP4/2N5/PPP2PPP/R1BQK2R w KQ -", "source": "stockfish_multipv", "best_move": "e5d7", "candidate_ratings": [{"uci": "e5d7", "rank": 1, "expectation": 0.4983333395061454, "pv_line": "e5d7 c8d7 e1g1 b8c6 c1e3 d7f5 d4d5 c6a5", "cp": -2}, {"uci": "e5f3", "rank": 2, "expectation": 0.47834688488309984, "pv_line": "e5f3 c7c5 c1e3 d7b6 c4e2 b8c6 d4c5 g7c3", "cp": -26}, {"uci": "d1e2", "rank": 3, "expectation": 0.4758521344377807, "pv_line": "d1e2 d7e5 d4e5 b8c6 f2f4 c6d4 e2f2 c8f5", "cp": -29}, {"uci": "c1g5", "rank": 4, "expectation": 0.474189629030992, "pv_line": "c1g5 d7e5 d4e5 d8d1 a1d1 g7e5 g5e7 f8e8", "cp": -31}, {"uci": "c1f4", "rank": 5, "expectation": 0.47086637092795314, "pv_line": "c1f4 c7c5 e5d7 b8d7 d4d5 d8a5 c4e2 b7b5", "cp": -35}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e5d7: -2cp; Bucket: equal\n2. Candidate e5f3: -26cp; Bucket: equal\n3. Candidate d1e2: -29cp; Bucket: equal\n4. Candidate c1g5: -31cp; Bucket: equal\n5. Candidate c1f4: -35cp; Bucket: equal\n6. Best: e5f3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e5d7: -2cp; Bucket: equal\nCandidate e5f3: -26cp; Bucket: equal\nCandidate d1e2: -29cp; Bucket: equal\nCandidate c1g5: -31cp; Bucket: equal\nCandidate c1f4: -35cp; Bucket: equal\nBest: e5d7", "displayed_trace": "Candidate e5d7: -2cp; Bucket: equal\nCandidate e5f3: -26cp; Bucket: equal\nCandidate d1e2: -29cp; Bucket: equal\nCandidate c1g5: -31cp; Bucket: equal\nCandidate c1f4: -35cp; Bucket: equal\nBest: e5f3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e5d7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d7."}} {"fen": "3R4/8/K1k5/8/8/8/8/8 w - -", "best_move": "d8d1", "pv_line": "d8d1 c6c5 a6a5 c5c4 a5b6 c4b3 b6b5 b3c2 d1d8 c2c3", "depth": 190, "knodes": 154343, "cp": null, "mate": 12, "eval_perspective": "white"} {"fen": "r5k1/p4p1p/8/4b3/2P1q1p1/3Q2P1/P3P2P/1R2R1K1 b - 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- 6 22", "side": "white", "legal_moves": ["b7b8", "b7f7", "b7e7", "b7d7", "b7c7", "b7a7", "b7b6", "b7b5", "b7b4", "b7b3", "b7b2", "b7b1", "d6f8", "d6b8", "d6e7", "d6c7", "d6e5", "d6c5", "d6f4", "d6b4", "d6a3", "e4g6", "e4e6", "e4c6", "e4f5", "e4e5", "e4d5", "e4h4", "e4g4", "e4f4", "e4d4", "e4c4", "e4b4", "e4a4", "e4f3", "e4e3", "e4d3", "e4g2", "e4e2", "e4c2", "e4h1", "e4e1", "e4b1", "g1g2", "g1h1", "g1f1", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "g3g4", "h2h3", "f2f3", "h2h4", "f2f4"], "solution_first_move": "g3g4", "solution_full": ["g3g4", "h5a5", "d6f8"], "themes": ["advantage", "middlegame", "short"], "rating": 2023, "puzzle_id": "81zha"} {"fen": "r4b1r/pp1k1Npp/1qn1p1n1/1B1pP1B1/8/1Pp5/P1P2PPP/R2Q1RK1 b - - 0 13", "side": "black", "legal_moves": ["h8g8", "f8e7", "f8d6", "f8c5", "f8b4", "f8a3", "a8e8", "a8d8", "a8c8", "a8b8", "d7e8", "d7c8", "d7c7", "g6e7", "g6e5", "g6h4", "g6f4", "b6d8", "b6c7", "b6a6", "b6c5", "b6b5", "b6a5", "b6d4", "b6e3", "b6f2", "h7h6", "a7a6", "d5d4", "h7h5", "a7a5"], "solution_first_move": "b6b5", "solution_full": ["b6b5", "f7h8", "g6h8"], "themes": ["advantage", "middlegame", "short"], "rating": 1557, "puzzle_id": "5vLbO"} {"fen": "8/8/p1p1k3/Pp2P2K/1P5P/8/8/8 b - 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-", "best_move": "a1a3", "pv_line": "a1a3 c3d2 a3a2 d2c1 d5c6 b7h7 a2a1 c1b2 a1e1 h7h6", "depth": 41, "knodes": 4795, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "r2qk2r/1p1n1ppp/p1pbpn2/8/2PPB3/1PN5/P4PPP/R1BQ1RK1 b kq - 0 11", "side": "black", "legal_moves": ["h8g8", "h8f8", "e8f8", "e8e7", "d8c8", "d8b8", "d8e7", "d8c7", "d8b6", "d8a5", "a8c8", "a8b8", "a8a7", "d7f8", "d7b8", "d7b6", "d7e5", "d7c5", "f6g8", "f6h5", "f6d5", "f6g4", "f6e4", "d6f8", "d6b8", "d6e7", "d6c7", "d6e5", "d6c5", "d6f4", "d6b4", "d6g3", "d6a3", "d6h2", "e8g8", "h7h6", "g7g6", "b7b6", "e6e5", "c6c5", "a6a5", "h7h5", "g7g5", "b7b5"], "solution_first_move": "d6b4", "solution_full": ["d6b4", "d1f3", "b4c3", "f3c3", "f6e4"], "themes": ["advantage", "capturingDefender", "long", "master", "masterVsMaster", "opening"], "rating": 2307, "puzzle_id": "2s2PL"} {"fen": "rn2kb1r/1Qp2ppp/p3pn2/8/q2P4/4P3/1B3PPP/1N2K1NR w Kkq - 0 12", "side": "white", "legal_moves": ["b7c8", "b7b8", "b7a8", "b7c7", "b7a7", "b7c6", "b7b6", "b7a6", "b7d5", "b7b5", "b7e4", "b7b4", "b7f3", "b7b3", "b2c3", "b2a3", "b2c1", "b2a1", "g1h3", "g1f3", "g1e2", "e1e2", "e1d2", "e1f1", "b1c3", "b1a3", "b1d2", "d4d5", "e3e4", "h2h3", "g2g3", "f2f3", "h2h4", "g2g4", "f2f4"], "solution_first_move": "b7c8", "solution_full": ["b7c8", "e8e7", "b2a3"], "themes": ["advantage", "opening", "short"], "rating": 1724, "puzzle_id": "CUW6Q"} {"fen": "5r1k/5bpp/2p5/6P1/P2QP2P/1qR2P2/1P6/K1R5 b - - 2 39", "side": "black", "legal_moves": ["h8g8", "f8g8", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f7g8", "f7e8", "f7g6", "f7e6", "f7h5", "f7d5", "f7c4", "b3b8", "b3b7", "b3e6", "b3b6", "b3d5", "b3b5", "b3c4", "b3b4", "b3a4", "b3c3", "b3a3", "b3c2", "b3b2", "b3a2", "b3d1", "h7h6", "c6c5", "h7h5"], "solution_first_move": "b3a2", "solution_full": ["b3a2"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 904, "puzzle_id": "Im7wX"} {"fen": "3rk2r/ppp2ppp/2q2B2/4p3/5Pb1/2N5/PPP3PP/2KR3R w k - 0 17", "side": "white", "legal_moves": ["f6d8", "f6g7", "f6e7", "f6g5", "f6e5", "f6h4", "c3d5", "c3b5", "c3e4", "c3a4", "c3e2", "c3b1", "h1g1", "h1f1", "h1e1", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1g1", "d1f1", "d1e1", "c1b1", "f4e5", "f4f5", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "b2b4", "a2a4"], "solution_first_move": "d1d8", "solution_full": ["d1d8"], "themes": ["mate", "mateIn1", "middlegame", "oneMove", "operaMate"], "rating": 773, "puzzle_id": "4G88P"} {"fen": "8/pk6/1p6/8/7P/6P1/3Q2bK/5q2 w - - 0 56", "side": "white", "legal_moves": ["d2d8", "d2d7", "d2h6", "d2d6", "d2g5", "d2d5", "d2a5", "d2f4", "d2d4", "d2b4", "d2e3", "d2d3", "d2c3", "d2g2", "d2f2", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2d1", "d2c1", "h4h5", "g3g4"], "solution_first_move": "d2g2", "solution_full": ["d2g2", "f1g2", "h2g2", "b7c6", "h4h5", "c6d5", "h5h6"], "themes": ["crushing", "endgame", "quietMove", "veryLong"], "rating": 1532, "puzzle_id": "43yCw"} {"fen": "r1b2rk1/pp1n2pp/1q2p3/3pP3/1b1n4/2N1BN2/PPB3PP/R2Q1R1K b - -", "source": "stockfish_multipv", "best_move": "b4c5", "candidate_ratings": [{"uci": "b4c5", "rank": 1, "expectation": 0.2047825904092364, "pv_line": "b4c5 e3d4 c5d4 d1d3 g7g6 f3d4 f8f1 a1f1", "cp": -407}, {"uci": "d4c2", "rank": 2, "expectation": 0.19361858755647318, "pv_line": "d4c2 e3b6 c2a1 b6g1 b4c3 b2c3 b7b6 f3g5", "cp": -428}, {"uci": "b4c3", "rank": 3, "expectation": 0.17412547910048665, "pv_line": "b4c3 b2c3 d4c2 e3b6 c2a1 b6d4 b7b6 d1a4", "cp": -467}, {"uci": "f8f3", "rank": 4, "expectation": 0.1593150439212729, "pv_line": "f8f3 f1f3 d4c2 e3b6 c2a1 b6c7 d7c5 c7d6", "cp": -499}, {"uci": "b6c7", "rank": 5, "expectation": 0.1544652650835347, "pv_line": "b6c7 d1d4 c7c4 d4c4 d5c4 h1g1 b4c5 e3c5", "cp": -510}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b4c5: -407cp; Bucket: winning\n2. Candidate d4c2: -428cp; Bucket: winning\n3. Candidate b4c3: -467cp; Bucket: winning\n4. Candidate f8f3: -499cp; Bucket: winning\n5. Candidate b6c7: -510cp; Bucket: winning\n6. Best: d4c2", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b4c5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b4c5: -407cp; Bucket: winning\nCandidate d4c2: -428cp; Bucket: winning\nCandidate b4c3: -467cp; Bucket: winning\nCandidate f8f3: -499cp; Bucket: winning\nCandidate b6c7: -510cp; Bucket: winning\nBest: b4c5", "displayed_trace": "Candidate b4c5: -407cp; Bucket: winning\nCandidate d4c2: -428cp; Bucket: winning\nCandidate b4c3: -467cp; Bucket: winning\nCandidate f8f3: -499cp; Bucket: winning\nCandidate b6c7: -510cp; Bucket: winning\nBest: d4c2", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b4c5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b4c5."}} {"fen": "5r1k/p7/2R2p1p/6nP/2Np2b1/1P1P4/P1P3K1/2B5 b - 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-", "best_move": "a6b6", "pv_line": "a6b6 b8a8 b6c6 a8b8 e5c4 b8a8 c5d6 a8a7 c4b6 a7a6", "depth": 90, "knodes": 169129, "cp": null, "mate": 23, "eval_perspective": "white"} {"fen": "4r1r1/p2n2k1/1p2q1N1/2p2Q2/3P4/2P2P2/PP3KB1/7R w - - 1 34", "side": "white", "legal_moves": ["g6h8", "g6f8", "g6e7", "g6e5", "g6h4", "g6f4", "f5f8", "f5f7", "f5f6", "f5e6", "f5h5", "f5g5", "f5e5", "f5d5", "f5c5", "f5g4", "f5f4", "f5e4", "f5h3", "f5d3", "f5c2", "f5b1", "g2h3", "g2f1", "f2g3", "f2g1", "f2f1", "h1h8", "h1h7", "h1h6", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "h1c1", "h1b1", "h1a1", "d4c5", "d4d5", "f3f4", "c3c4", "b2b3", "a2a3", "b2b4", "a2a4"], "solution_first_move": "h1h7", "solution_full": ["h1h7", "g7h7", "g6f8", "h7g7", "f8e6"], "themes": ["attraction", "crushing", "discoveredCheck", "doubleCheck", "exposedKing", "fork", "long", "master", "middlegame", "sacrifice"], "rating": 1894, "puzzle_id": "8p8o4"} {"fen": "5n2/R7/5kp1/P5b1/2pN4/5p2/8/5K2 w - -", "best_move": "a7c7", "pv_line": "a7c7 g5e3 c7c4 f8d7 a5a6 d7c5 c4c5 e3d4 c5c4 d4a7", "depth": 37, "knodes": 12637, "cp": 482, "mate": null, "eval_perspective": "white"} {"fen": "7k/8/8/6Q1/2B2K2/8/8/8 w - 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-", "best_move": "c2e2", "pv_line": "c2e2 b1b5 h5g4 b5b4 g4f3 b4b1 e2e3 b1c1 h3h2 c1d1", "depth": 52, "knodes": 16755, "cp": null, "mate": -11, "eval_perspective": "white"} {"fen": "3Rr2k/p3Pr1p/4Rp1Q/2p2PpP/6q1/2P5/8/3K4 w - - 3 35", "side": "white", "legal_moves": ["d1d2", "d1c2", "d1e1", "d1c1", "e6e2"], "solution_first_move": "d1c1", "solution_full": ["d1c1", "g4a4", "e6a6", "a4b5", "a6d6", "h8g8", "d8e8", "b5e8", "d6d8", "f7e7", "d8e8"], "themes": ["attraction", "clearance", "crushing", "defensiveMove", "endgame", "pin", "veryLong"], "rating": 2979, "puzzle_id": "0ZjFd"} {"fen": "8/5p2/4pk1p/r5p1/5P1P/6PK/8/4R3 w - -", "source": "stockfish_multipv", "best_move": "h4g5", "candidate_ratings": [{"uci": "h4g5", "rank": 1, "expectation": 0.4900013331200346, "pv_line": "h4g5 h6g5 h3g4 f6g6 e1e3 a5d5 e3e1 f7f5", "cp": -12}, {"uci": "f4g5", "rank": 2, "expectation": 0.4875026035157896, "pv_line": "f4g5 h6g5 e1f1 f6g6 h4g5 a5g5 f1a1 f7f5", "cp": -15}, {"uci": "e1f1", "rank": 3, "expectation": 0.43782349911420193, "pv_line": "e1f1 g5f4 f1f4 f6g7 f4g4 g7f8 g4b4 h6h5", "cp": -75}, {"uci": "e1e4", "rank": 4, "expectation": 0.4174297935376853, "pv_line": "e1e4 f6f5 e4b4 g5g4 h3g2 f7f6 g2f1 e6e5", "cp": -100}, {"uci": "e1e3", "rank": 5, "expectation": 0.3266593829676408, "pv_line": "e1e3 g5f4 g3f4 h6h5 h3g2 a5a4 g2g3 a4a1", "cp": -217}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h4g5: -12cp; Bucket: equal\n2. Candidate f4g5: -15cp; Bucket: equal\n3. Candidate e1f1: -75cp; Bucket: slight edge\n4. Candidate e1e4: -100cp; Bucket: slight edge\n5. Candidate e1e3: -217cp; Bucket: clear advantage\n6. Best: f4g5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h4g5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h4g5: -12cp; Bucket: equal\nCandidate f4g5: -15cp; Bucket: equal\nCandidate e1f1: -75cp; Bucket: slight edge\nCandidate e1e4: -100cp; Bucket: slight edge\nCandidate e1e3: -217cp; Bucket: clear advantage\nBest: h4g5", "displayed_trace": "Candidate h4g5: -12cp; Bucket: equal\nCandidate f4g5: -15cp; Bucket: equal\nCandidate e1f1: -75cp; Bucket: slight edge\nCandidate e1e4: -100cp; Bucket: slight edge\nCandidate e1e3: -217cp; Bucket: clear advantage\nBest: f4g5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h4g5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h4g5."}} {"fen": "r2q2k1/ppp3bp/3p2p1/3N1r2/1PP1Qn2/6P1/P6P/3R1R1K w - - 0 24", "side": "white", "legal_moves": ["d5e7", "d5c7", "d5f6", "d5b6", "d5f4", "d5e3", "d5c3", "e4e8", "e4e7", "e4e6", "e4f5", "e4e5", "e4f4", "e4d4", "e4f3", "e4e3", "e4d3", "e4g2", "e4e2", "e4c2", "e4e1", "e4b1", "h1g1", "f1f4", "f1f3", "f1f2", "f1g1", "f1e1", "d1d4", "d1d3", "d1d2", "d1e1", "d1c1", "d1b1", "d1a1", "g3f4", "c4c5", "b4b5", "g3g4", "h2h3", "a2a3", "h2h4", "a2a4"], "solution_first_move": "d5e7", "solution_full": ["d5e7", "g8h8", "e7f5", "g6f5", "e4f4"], "themes": ["capturingDefender", "crushing", "fork", "long", "middlegame"], "rating": 1850, "puzzle_id": "CRM37"} {"fen": "r1q2r2/1p1bnppk/p1n1N3/2RpP3/1P1P2Q1/P7/5PPP/2B1K2R w K -", "source": "stockfish_multipv", "best_move": "g4g7", "candidate_ratings": [{"uci": "g4g7", "rank": 1, "expectation": 1.0, "pv_line": "g4g7", "mate": 1}, {"uci": "e6f8", "rank": 2, "expectation": 0.791391472673955, "pv_line": "e6f8 c8f8 g4d7 c6d4 e1g1 d4e6 c5c3 h7g8", "cp": 400}, {"uci": "c5c6", "rank": 3, "expectation": 0.6921095043017882, "pv_line": "c5c6 d7e6 g4h5 h7g8 c6c8 f8c8 e1g1 e7f5", "cp": 243}, {"uci": "g4h4", "rank": 4, "expectation": 0.6784519491420181, "pv_line": "g4h4 h7g8 e6g7 e7f5 g7f5 d7f5 c5c3 c8e6", "cp": 224}, {"uci": "c1h6", "rank": 5, "expectation": 0.5906532827008858, "pv_line": "c1h6 e7g6 e6f8 c8f8 g4d7 g7h6 f2f4 a8d8", "cp": 110}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate g4g7: M1; Bucket: forced mate\n2. Candidate e6f8: +400cp; Bucket: winning\n3. Candidate c5c6: +243cp; Bucket: clear advantage\n4. Candidate g4h4: +224cp; Bucket: clear advantage\n5. Candidate c1h6: +110cp; Bucket: slight edge\n6. Best: e6f8", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g4g7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate g4g7: M1; Bucket: forced mate\nCandidate e6f8: +400cp; Bucket: winning\nCandidate c5c6: +243cp; Bucket: clear advantage\nCandidate g4h4: +224cp; Bucket: clear advantage\nCandidate c1h6: +110cp; Bucket: slight edge\nBest: g4g7", "displayed_trace": "Candidate g4g7: M1; Bucket: forced mate\nCandidate e6f8: +400cp; Bucket: winning\nCandidate c5c6: +243cp; Bucket: clear advantage\nCandidate g4h4: +224cp; Bucket: clear advantage\nCandidate c1h6: +110cp; Bucket: slight edge\nBest: e6f8", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be g4g7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g4g7."}} {"fen": "r1b1k2r/2p2ppp/p7/1pPBn3/4n2q/8/PPP2PPP/RNBQR1K1 b kq - 0 11", "side": "black", "legal_moves": ["h8g8", "h8f8", "e8f8", "e8d8", "e8e7", "e8d7", "c8d7", "c8b7", "c8e6", "c8f5", "c8g4", "c8h3", "a8b8", "a8a7", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "h4d8", "h4e7", "h4h6", "h4f6", "h4h5", "h4g5", "h4g4", "h4f4", "h4h3", "h4g3", "h4h2", "h4f2", "e4f6", "e4d6", "e4g5", "e4c5", "e4g3", "e4c3", "e4f2", "e4d2", "e8g8", "h7h6", "g7g6", "f7f6", "c7c6", "a6a5", "b5b4", "h7h5", "g7g5", "f7f5"], "solution_first_move": "h4f2", "solution_full": ["h4f2", "g1h1", "c8g4"], "themes": ["advantage", "kingsideAttack", "opening", "short"], "rating": 2133, "puzzle_id": "7LoGu"} {"fen": "Q7/5k2/8/8/8/4K3/8/8 w - -", "best_move": "a8d8", "pv_line": "a8d8 f7g7 d8e7 g7h6 e3e4 h6g6 e4f4 g6h6 f4f5 h6h5", "depth": 245, "knodes": 29592, "cp": null, "mate": 6, "eval_perspective": "white"} {"fen": "1r4k1/4qppp/p3p3/3p1n2/2p2Q2/8/PrN2PPP/1R2R1K1 w - - 0 30", "side": "white", "legal_moves": ["f4b8", "f4c7", "f4h6", "f4d6", "f4g5", "f4f5", "f4e5", "f4h4", "f4g4", "f4e4", "f4d4", "f4c4", "f4g3", "f4f3", "f4e3", "f4d2", "f4c1", "c2d4", "c2b4", "c2e3", "c2a3", "c2a1", "g1h1", "g1f1", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "b1b2", "b1d1", "b1c1", "b1a1", "h2h3", "g2g3", "f2f3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "f4b8", "solution_full": ["f4b8", "b2b8", "b1b8"], "themes": ["advantage", "middlegame", "short", "xRayAttack"], "rating": 1037, "puzzle_id": "BoZjR"} {"fen": "3rr1k1/1p2q1pp/p1n5/8/2Pp1Pn1/P2Q1N2/P5PP/R1B1R1K1 b - - 8 19", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8f7", "e8f8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "e7f8", "e7f7", "e7d7", "e7c7", "e7f6", "e7e6", "e7d6", "e7g5", "e7e5", "e7c5", "e7h4", "e7e4", "e7b4", "e7e3", "e7a3", "e7e2", "e7e1", "c6b8", "c6a7", "c6e5", "c6a5", "c6b4", "g4h6", "g4f6", "g4e5", "g4e3", "g4h2", "g4f2", "h7h6", "g7g6", "b7b6", "a6a5", "h7h5", "g7g5", "b7b5"], "solution_first_move": "e7e1", "solution_full": ["e7e1", "f3e1", "e8e1"], "themes": ["crushing", "kingsideAttack", "middlegame", "short"], "rating": 1235, "puzzle_id": "8vPDg"} {"fen": "r3r1k1/p4pp1/1qp2n1R/1p2p3/8/2PBP2Q/PP1N2PP/6K1 w - - 1 25", "side": "white", "legal_moves": ["h6h8", "h6h7", "h6g6", "h6f6", "h6h5", "h6h4", "h3c8", "h3d7", "h3e6", "h3h5", "h3f5", "h3h4", "h3g4", "h3g3", "h3f3", "d3h7", "d3g6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3f1", "d3b1", "d2e4", "d2c4", "d2f3", "d2b3", "d2f1", "d2b1", "g1f2", "g1h1", "g1f1", "c3c4", "g2g3", "b2b3", "a2a3", "g2g4", "b2b4", "a2a4"], "solution_first_move": "h6h8", "solution_full": ["h6h8"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 1131, "puzzle_id": "1ShsI"} {"fen": "r1r3k1/2qbbppp/p2ppn2/1p5P/3QP1P1/2N1BP2/PPP5/2KR1B1R w - -", "source": "stockfish_multipv", "best_move": "g4g5", "candidate_ratings": [{"uci": "g4g5", "rank": 1, "expectation": 0.5299640517645717, "pv_line": "g4g5 f6e8 f1d3 e6e5 d4b4 a6a5 b4b3 a5a4", "cp": 36}, {"uci": "d4d2", "rank": 2, "expectation": 0.5091656397985503, "pv_line": "d4d2 b5b4 c3e2 d7a4 b2b3 a4b5 g4g5 f6d7", "cp": 11}, {"uci": "h5h6", "rank": 3, "expectation": 0.505833068687248, "pv_line": "h5h6 e6e5 d4d2 b5b4 c3e2 g7g6 c1b1 d7e6", "cp": 7}, {"uci": "d1d2", "rank": 4, "expectation": 0.4983333395061454, "pv_line": "d1d2 e6e5 d4d3 b5b4 c3d5 f6d5 e4d5 d7b5", "cp": -2}, {"uci": "d4b6", "rank": 5, "expectation": 0.473358588549516, "pv_line": "d4b6 c7b6 e3b6 b5b4 c3e2 d7a4 b2b3 a4c6", "cp": -32}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "3q1rk1/2rbppbp/pB1p1np1/1p1P4/4P3/P1NQ1P1P/1P2B1P1/2R2RK1 b - - 4 18", "side": "black", "legal_moves": ["g8h8", "f8e8", "d8e8", "d8c8", "d8b8", "d8a8", "g7h8", "g7h6", "d7e8", "d7c8", "d7e6", "d7c6", "d7f5", "d7g4", "d7h3", "c7c8", "c7b7", "c7a7", "c7c6", "c7c5", "c7c4", "c7c3", "f6e8", "f6h5", "f6d5", "f6g4", "f6e4", "h7h6", "e7e6", "g6g5", "a6a5", "b5b4", "h7h5", "e7e5"], "solution_first_move": "c7c3", "solution_full": ["c7c3", "b6d8", "c3d3", "e2d3", "f8d8"], "themes": ["advantage", "long", "middlegame"], "rating": 1150, "puzzle_id": "CcPwp"} {"fen": "5rk1/7p/1p4p1/pN2Q3/P1p5/4P3/2Pq2PP/R5K1 b - - 0 26", "side": "black", "legal_moves": ["g8f7", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f8f7", "f8f6", "f8f5", "f8f4", "f8f3", "f8f2", "f8f1", "d2d8", "d2d7", "d2d6", "d2d5", "d2d4", "d2b4", "d2e3", "d2d3", "d2c3", "d2g2", "d2f2", "d2e2", "d2c2", "d2e1", "d2d1", "d2c1", "h7h6", "g6g5", "c4c3", "h7h5"], "solution_first_move": "d2f2", "solution_full": ["d2f2", "g1h1", "f2f1", "a1f1", "f8f1"], "themes": ["backRankMate", "endgame", "long", "mate", "mateIn3", "sacrifice"], "rating": 970, "puzzle_id": "2fNjb"} {"fen": "3n1r2/6k1/pp4p1/2p1p2q/3p4/1P1P1rNP/P1P1QPK1/5R1R b - - 3 26", "side": "black", "legal_moves": ["f8h8", "f8g8", "f8e8", "f8f7", "f8f6", "f8f5", "f8f4", "d8f7", "d8b7", "d8e6", "d8c6", "g7h8", "g7g8", "g7h7", "g7f7", "g7h6", "g7f6", "h5h8", "h5h7", "h5h6", "h5g5", "h5f5", "h5h4", "h5g4", "h5h3", "f3f7", "f3f6", "f3f5", "f3f4", "f3g3", "f3e3", "f3d3", "f3f2", "g6g5", "b6b5", "a6a5", "e5e4", "c5c4"], "solution_first_move": "f3g3", "solution_full": ["f3g3", "g2g3", "h5e2"], "themes": ["crushing", "discoveredAttack", "middlegame", "short"], "rating": 1264, "puzzle_id": "7Z9As"} {"fen": "3q1rk1/BBr2ppp/p2p1bb1/1pp1p3/1P2P1P1/3P1Q1P/P1P2P2/R4RK1 w - - 1 19", "side": "white", "legal_moves": ["b7c8", "b7a8", "b7c6", "b7a6", "b7d5", "a7b8", "a7b6", "a7c5", "f3f6", "f3f5", "f3f4", "f3g3", "f3e3", "f3g2", "f3e2", "f3h1", "f3d1", "g1h2", "g1g2", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "a1e1", "a1d1", "a1c1", "a1b1", "b4c5", "g4g5", "h3h4", "d3d4", "c2c3", "a2a3", "c2c4", "a2a4"], "solution_first_move": "a7b6", "solution_full": ["a7b6", "c7b7", "b6d8"], "themes": ["advantage", "middlegame", "short"], "rating": 1149, "puzzle_id": "AbE0q"} {"fen": "r6r/6pp/1p2kp2/nPb1p3/P7/2B2N2/5PPP/3RR1K1 w - - 3 20", "side": "white", "legal_moves": ["f3g5", "f3e5", "f3h4", "f3d4", "f3d2", "c3e5", "c3a5", "c3d4", "c3b4", "c3d2", "c3b2", "c3a1", "g1h1", "g1f1", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1c1", "d1b1", "d1a1", "h2h3", "g2g3", "h2h4", "g2g4"], "solution_first_move": "f3e5", "solution_full": ["f3e5", "f6e5", "e1e5", "e6f7", "d1d7"], "themes": ["crushing", "long", "middlegame"], "rating": 2271, "puzzle_id": "HufxW"} {"fen": "8/p6p/4k1pP/p2pPnP1/1Pb2K2/7B/8/8 w - - 0 42", "side": "white", "legal_moves": ["f4g4", "f4f3", "h3f5", "h3g4", "h3g2", "h3f1", "b4a5", "b4b5"], "solution_first_move": "h3f5", "solution_full": ["h3f5", "g6f5", "g5g6", "h7g6", "h6h7"], "themes": ["advancedPawn", "crushing", "endgame", "long"], "rating": 1927, "puzzle_id": "JIoH9"} {"fen": "6k1/2b3p1/4p3/pppq4/8/2P3KQ/PP6/5R2 w - -", "best_move": "g3f2", "pv_line": "g3f2 d5a2 f2e3 a2d5 h3f3 d5f3 e3f3 g8f8 f3e4 f8e7", "depth": 38, "knodes": 9992, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "5rk1/1p4pn/p6p/2p1prq1/2P5/2QP1B1P/PP4P1/R4RK1 b - - 3 27", "side": "black", "legal_moves": ["g8h8", "g8f7", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f8f7", "f8f6", "h7f6", "g5d8", "g5e7", "g5g6", "g5f6", "g5h5", "g5h4", "g5g4", "g5f4", "g5g3", "g5e3", "g5g2", "g5d2", "g5c1", "f5f7", "f5f6", "f5f4", "f5f3", "g7g6", "b7b6", "h6h5", "a6a5", "e5e4", "b7b5"], "solution_first_move": "f5f3", "solution_full": ["f5f3", "f1f3", "f8f3"], "themes": ["crushing", "middlegame", "pin", "short"], "rating": 1090, "puzzle_id": "EmI6i"} {"fen": "r7/p2RN3/5p1k/3P4/5K1p/2P1P3/P7/6r1 w - - 3 31", "side": "white", "legal_moves": ["e7g8", "e7c8", "e7g6", "e7c6", "e7f5", "d7d8", "d7c7", "d7b7", "d7a7", "d7d6", "f4f5", "f4e4", "f4f3", "d5d6", "e3e4", "c3c4", "a2a3", "a2a4"], "solution_first_move": "e7f5", "solution_full": ["e7f5", "h6h5", "d7h7", "h5g6", "h7g7"], "themes": ["crushing", "endgame", "exposedKing", "long"], "rating": 1312, "puzzle_id": "CKhzs"} {"fen": "r6r/pp1bk1pp/2nNpp2/3pP3/5P1P/2P3q1/PPK5/R4Q1R w - - 0 22", "side": "white", "legal_moves": ["d6e8", "d6c8", "d6f7", "d6b7", "d6f5", "d6b5", "d6e4", "d6c4", "c2b3", "c2d2", "c2d1", "c2c1", "c2b1", "h1h3", "h1h2", "h1g1", "f1a6", "f1b5", "f1c4", "f1h3", "f1f3", "f1d3", "f1g2", "f1f2", "f1e2", "f1g1", "f1e1", "f1d1", "f1c1", "f1b1", "a1e1", "a1d1", "a1c1", "a1b1", "e5f6", "h4h5", "f4f5", "c3c4", "b2b3", "a2a3", "b2b4", "a2a4"], "solution_first_move": "h1g1", "solution_full": ["h1g1", "g3h2", "g1g2", "h2h4", "g2g7"], "themes": ["advantage", "defensiveMove", "long", "middlegame"], "rating": 1832, "puzzle_id": "1U1a1"} {"fen": "4r2r/1p2b1p1/1k1p1p2/1PpP4/P3RP1n/1P4Pp/1B1Q3P/6K1 b - 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Candidate g2d5: +564cp; Bucket: winning\n2. Candidate a1e1: +421cp; Bucket: winning\n3. Candidate f4f5: +408cp; Bucket: winning\n4. Candidate c3c4: +405cp; Bucket: winning\n5. Candidate f4e5: +397cp; Bucket: winning\n6. Best: a1e1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g2d5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate g2d5: +564cp; Bucket: winning\nCandidate a1e1: +421cp; Bucket: winning\nCandidate f4f5: +408cp; Bucket: winning\nCandidate c3c4: +405cp; Bucket: winning\nCandidate f4e5: +397cp; Bucket: winning\nBest: g2d5", "displayed_trace": "Candidate g2d5: +564cp; Bucket: winning\nCandidate a1e1: +421cp; Bucket: winning\nCandidate f4f5: +408cp; Bucket: winning\nCandidate c3c4: +405cp; Bucket: winning\nCandidate f4e5: +397cp; Bucket: winning\nBest: a1e1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be g2d5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g2d5."}} {"fen": "6k1/8/p3P2p/3PP1p1/1p3r2/1P1Q4/5PP1/1Bq2K2 w - 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-", "best_move": "d7b5", "pv_line": "d7b5 c4e6 g7f6 e6b3 a6a5 e1f2 b7b6 f2g1 b5e2 g1h2", "depth": 35, "knodes": 42605, "cp": 21, "mate": null, "eval_perspective": "white"} {"fen": "r3kb1r/pp1b1ppp/4pn2/8/Qn2P3/P2N2P1/1P3PBP/R1B1K1NR b KQkq - 0 12", "side": "black", "legal_moves": ["h8g8", "f8e7", "f8d6", "f8c5", "e8d8", "e8e7", "a8d8", "a8c8", "a8b8", "d7c6", "d7b5", "d7a4", "f6g8", "f6h5", "f6d5", "f6g4", "f6e4", "b4c6", "b4a6", "b4d5", "b4d3", "b4c2", "b4a2", "e8c8", "h7h6", "g7g6", "b7b6", "a7a6", "e6e5", "h7h5", "g7g5", "b7b5", "a7a5"], "solution_first_move": "b4d3", "solution_full": ["b4d3", "e1d2", "d7a4"], "themes": ["advantage", "middlegame", "short"], "rating": 1538, "puzzle_id": "CTKVj"} {"fen": "6k1/pp6/2p2p1p/3p1NpQ/3Pr3/2P2R1K/PP2q2P/8 b - - 5 32", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "e4e8", "e4e7", "e4e6", "e4e5", "e4h4", "e4g4", "e4f4", "e4d4", "e4e3", "e2a6", "e2b5", "e2c4", "e2f3", "e2e3", "e2d3", "e2h2", "e2g2", "e2f2", "e2d2", "e2c2", "e2b2", "e2f1", "e2e1", "e2d1", "b7b6", "a7a6", "c6c5", "g5g4", "b7b5", "a7a5"], "solution_first_move": "g5g4", "solution_full": ["g5g4", "h5g4", "e4g4"], "themes": ["advantage", "endgame", "fork", "short"], "rating": 1707, "puzzle_id": "DNlbj"} {"fen": "2kr3r/1pp2ppp/4p3/pQ1p4/P2P2P1/2P1P2q/1P3PRb/R3KB2 w Q - 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-", "best_move": "d5e5", "pv_line": "d5e5 f8e8 e5f5 e8f8 f5g6 f8e8 f6g5 e8f8 e6d7 f8g8", "depth": 175, "knodes": 238933, "cp": null, "mate": 8, "eval_perspective": "white"} {"fen": "8/8/6k1/3K4/5Q2/8/8/8 w - -", "best_move": "d5e6", "pv_line": "d5e6 g6g7 f4g4 g7h7 e6f6 h7h6 g4g6", "depth": 245, "knodes": 8484, "cp": null, "mate": 4, "eval_perspective": "white"} {"fen": "2r1kb1r/pp3pp1/1qn1pn1p/2pp1b2/3P1B2/2P1PN1P/PP1NBPP1/R1Q2RK1 b k -", "best_move": "f6d7", "pv_line": "f6d7 d2b3 f5e4 f1d1 c5d4 e3d4 f8e7 f3d2 e4g6 a2a4", "depth": 30, "knodes": 35340, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "8/8/5k2/1PR3pp/8/6PK/1r6/8 b - - 0 57", "side": "black", "legal_moves": ["f6g7", "f6f7", "f6e7", "f6g6", "f6e6", "b2b5", "b2b4", "b2b3", "b2h2", "b2g2", "b2f2", "b2e2", "b2d2", "b2c2", "b2a2", "b2b1", "h5h4", "g5g4"], "solution_first_move": "g5g4", "solution_full": ["g5g4", "h3h4", "b2h2"], "themes": ["endgame", "mate", "mateIn2", "rookEndgame", "short"], "rating": 1003, "puzzle_id": "1vm2l"} {"fen": "3b3k/B5p1/7r/3Np3/2P5/3P1RPr/PP3P2/6K1 b - 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-", "best_move": "e8b5", "pv_line": "e8b5 c2c3 e4e3 c3c2 b5b4 c2c1 e3d3 c1d1 b4b1", "depth": 245, "knodes": 1590, "cp": null, "mate": 5, "eval_perspective": "white"} {"fen": "3r2k1/p4p2/1pQB3p/4b1q1/8/3R4/6PP/6K1 w - - 6 34", "side": "white", "legal_moves": ["d6f8", "d6b8", "d6e7", "d6c7", "d6e5", "d6c5", "d6b4", "d6a3", "c6e8", "c6c8", "c6a8", "c6d7", "c6c7", "c6b7", "c6b6", "c6d5", "c6c5", "c6b5", "c6e4", "c6c4", "c6a4", "c6f3", "c6c3", "c6c2", "c6c1", "d3d5", "d3d4", "d3h3", "d3g3", "d3f3", "d3e3", "d3c3", "d3b3", "d3a3", "d3d2", "d3d1", "g1f2", "g1h1", "g1f1", "h2h3", "g2g3", "h2h4", "g2g4"], "solution_first_move": "d6e5", "solution_full": ["d6e5", "g5e5", "d3d8"], "themes": ["advantage", "discoveredAttack", "endgame", "short"], "rating": 1895, "puzzle_id": "CCZYR"} {"fen": "8/pQp1k1p1/2n5/5Pq1/8/3nP3/4K1P1/2B4R b - - 4 27", "side": "black", "legal_moves": ["e7f8", "e7e8", "e7d8", "e7f7", "e7d7", "e7f6", "e7d6", "c6d8", "c6b8", "c6e5", "c6a5", "c6d4", "c6b4", "g5h6", "g5g6", "g5f6", "g5h5", "g5f5", "g5h4", "g5g4", "g5f4", "g5g3", "g5e3", "g5g2", "d3e5", "d3c5", "d3f4", "d3b4", "d3f2", "d3b2", "d3e1", "d3c1", "g7g6", "a7a6", "a7a5"], "solution_first_move": "g5g2", "solution_full": ["g5g2", "e2d3", "c6e5", "d3d4", "g2b7"], "themes": ["crushing", "discoveredAttack", "endgame", "fork", "long", "sacrifice"], "rating": 1956, "puzzle_id": "BsMQd"} {"fen": "8/P6R/6R1/r7/6PK/1r6/8/6k1 b - 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- 5 30", "side": "white", "legal_moves": ["g4h6", "g4f6", "g4e5", "g4e3", "h3h8", "h3h7", "h3h6", "h3h5", "h3h4", "h3g3", "h3f3", "h3e3", "h3d3", "h3g2", "h3f1", "g1f1", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "d1d5", "d1d4", "d1d3", "d1d2", "d1c1", "b1g6", "b1f5", "b1e4", "b1d3", "b1c2", "b1a2", "c3c4", "f2f3", "f2f4"], "solution_first_move": "h3h6", "solution_full": ["h3h6", "g7g8", "d1d5"], "themes": ["crushing", "master", "middlegame", "short"], "rating": 2005, "puzzle_id": "G62rT"} {"fen": "5k2/pp5P/8/6Kq/3P4/8/8/8 w - - 0 58", "side": "white", "legal_moves": ["g5f6", "g5h5", "g5f4"], "solution_first_move": "g5h5", "solution_full": ["g5h5", "f8g7", "d4d5", "g7h7", "d5d6", "h7g8", "d6d7"], "themes": ["advancedPawn", "crushing", "endgame", "hangingPiece", "quietMove", "veryLong"], "rating": 1194, "puzzle_id": "7JgV3"} {"fen": "2r2r2/p3qpk1/1p2pNp1/4Qn1p/8/4P3/PP3PPP/3R1RK1 b - - 8 23", "side": "black", "legal_moves": ["f8h8", "f8g8", "f8e8", "f8d8", "c8e8", "c8d8", "c8b8", "c8a8", "c8c7", "c8c6", "c8c5", "c8c4", "c8c3", "c8c2", "c8c1", "g7h8", "g7h6", "e7e8", "e7d8", "e7d7", "e7c7", "e7b7", "e7f6", "e7d6", "e7c5", "e7b4", "e7a3", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "a7a6", "g6g5", "b6b5", "h5h4", "a7a5"], "solution_first_move": "e7f6", "solution_full": ["e7f6", "e5f6", "g7f6"], "themes": ["crushing", "middlegame", "short"], "rating": 1129, "puzzle_id": "0ou6v"} {"fen": "r5k1/pbp3pp/1p3rq1/4Q3/8/2P4P/PP3PPB/R3R1K1 b - - 2 19", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8f7", "a8f8", "a8e8", "a8d8", "a8c8", "a8b8", "b7c8", "b7c6", "b7a6", "b7d5", "b7e4", "b7f3", "b7g2", "g6e8", "g6f7", "g6h6", "g6h5", "g6g5", "g6f5", "g6g4", "g6e4", "g6g3", "g6d3", "g6g2", "g6c2", "g6b1", "f6f8", "f6f7", "f6e6", "f6d6", "f6c6", "f6f5", "f6f4", "f6f3", "f6f2", "h7h6", "c7c6", "a7a6", "b6b5", "h7h5", "c7c5", "a7a5"], "solution_first_move": "g6g2", "solution_full": ["g6g2"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 849, "puzzle_id": "BhUwk"} {"fen": "k2r2r1/pp5p/8/2Q2P2/1P1p4/P1q5/2P2RbP/3R2K1 w - - 0 27", "side": "white", "legal_moves": ["c5f8", "c5c8", "c5e7", "c5c7", "c5a7", "c5d6", "c5c6", "c5b6", "c5e5", "c5d5", "c5b5", "c5a5", "c5d4", "c5c4", "c5c3", "f2f4", "f2f3", "f2g2", "f2e2", "f2d2", "f2f1", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "f5f6", "b4b5", "a3a4", "h2h3", "h2h4"], "solution_first_move": "c5c3", "solution_full": ["c5c3", "g2f3", "g1f1"], "themes": ["advantage", "master", "middlegame", "short"], "rating": 1460, "puzzle_id": "48yBF"} {"fen": "8/4r1kp/5pp1/4p3/7P/1R3PP1/6K1/8 b - -", "source": "stockfish_multipv", "best_move": "e7a7", "candidate_ratings": [{"uci": "e7a7", "rank": 1, "expectation": 0.5091656397985503, "pv_line": "e7a7 g3g4 g7f7 b3b6 h7h5 g4g5 f6g5 h4g5", "cp": 11}, {"uci": "e7d7", "rank": 2, "expectation": 0.5091656397985503, "pv_line": "e7d7 b3b6 g7f7 g2f2 f7e7 f2e3 h7h5 b6a6", "cp": 11}, {"uci": "h7h5", "rank": 3, "expectation": 0.5091656397985503, "pv_line": "h7h5 b3a3 g7f7 a3a6 e7b7 g2f2 f7e7 f2g2", "cp": 11}, {"uci": "g7f7", "rank": 4, "expectation": 0.5091656397985503, "pv_line": "g7f7 b3b6 e7a7 g3g4 h7h5 g4g5 f6g5 h4g5", "cp": 11}, {"uci": "e7c7", "rank": 5, "expectation": 0.5074994375506203, "pv_line": "e7c7 b3a3 c7b7 a3a6 h7h5 g2f1 b7b1 f1g2", "cp": 9}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e7a7: +11cp; Bucket: equal\n2. Candidate e7d7: +11cp; Bucket: equal\n3. Candidate h7h5: +11cp; Bucket: equal\n4. Candidate g7f7: +11cp; Bucket: equal\n5. Candidate e7c7: +9cp; Bucket: equal\n6. Best: e7d7", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e7a7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e7a7: +11cp; Bucket: equal\nCandidate e7d7: +11cp; Bucket: equal\nCandidate h7h5: +11cp; Bucket: equal\nCandidate g7f7: +11cp; Bucket: equal\nCandidate e7c7: +9cp; Bucket: equal\nBest: e7a7", "displayed_trace": "Candidate e7a7: +11cp; Bucket: equal\nCandidate e7d7: +11cp; Bucket: equal\nCandidate h7h5: +11cp; Bucket: equal\nCandidate g7f7: +11cp; Bucket: equal\nCandidate e7c7: +9cp; Bucket: equal\nBest: e7d7", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e7a7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e7a7."}} {"fen": "8/1k3N1p/2r3p1/8/8/5PK1/6PP/8 w - - 0 52", "side": "white", "legal_moves": ["f7h8", "f7d8", "f7h6", "f7d6", "f7g5", "f7e5", "g3h4", "g3g4", "g3f4", "g3h3", "g3f2", "f3f4", "h2h3", "h2h4"], "solution_first_move": "f7d8", "solution_full": ["f7d8", "b7b6", "d8c6"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 711, "puzzle_id": "619sP"} {"fen": "5Q2/8/1p1q4/p1k5/3p4/P4P2/1P6/K7 w - - 4 50", "side": "white", "legal_moves": ["f8h8", "f8g8", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f8g7", "f8f7", "f8e7", "f8h6", "f8f6", "f8d6", "f8f5", "f8f4", "a1a2", "a1b1", "f3f4", "a3a4", "b2b3", "b2b4"], "solution_first_move": "f8d6", "solution_full": ["f8d6", "c5d6", "a1b1"], "themes": ["crushing", "defensiveMove", "endgame", "queenEndgame", "short"], "rating": 2409, "puzzle_id": "07ExD"} {"fen": "2b3k1/r5rR/p1p3P1/3p1p2/7R/2NB4/PPP4P/6K1 b - - 0 28", "side": "black", "legal_moves": ["g8f8", "c8d7", "c8b7", "c8e6", "g7h7", "g7f7", "g7e7", "g7d7", "g7c7", "g7b7", "g7g6", "a7a8", "a7f7", "a7e7", "a7d7", "a7c7", "a7b7", "c6c5", "a6a5", "f5f4", "d5d4"], "solution_first_move": "g7g6", "solution_full": ["g7g6", "g1f2", "a7h7", "h4h7", "g8h7"], "themes": ["advantage", "discoveredAttack", "long", "middlegame"], "rating": 1500, "puzzle_id": "0FC4z"} {"fen": "6k1/p1p2pPp/3p4/2p2q2/8/6RP/PrP2PP1/4R1K1 w - - 0 29", "side": "white", "legal_moves": ["g3g6", "g3g5", "g3g4", "g3f3", "g3e3", "g3d3", "g3c3", "g3b3", "g3a3", "g1h2", "g1h1", "g1f1", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "h3h4", "f2f3", "c2c3", "a2a3", "f2f4", "c2c4", "a2a4"], "solution_first_move": "e1e8", "solution_full": ["e1e8"], "themes": ["endgame", "mate", "mateIn1", "oneMove", "queenRookEndgame"], "rating": 759, "puzzle_id": "4l69O"} {"fen": "2kr2nr/ppp3pp/2n1q3/4p3/P2P4/B1PB4/2P2Q1P/R4K1R w - - 0 18", "side": "white", "legal_moves": ["d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "a3f8", "a3e7", "a3d6", "a3c5", "a3b4", "a3b2", "a3c1", "f2f8", "f2f7", "f2f6", "f2f5", "f2h4", "f2f4", "f2g3", "f2f3", "f2e3", "f2g2", "f2e2", "f2d2", "f2g1", "f2e1", "h1g1", "f1g2", "f1e2", "f1g1", "f1e1", "a1a2", "a1e1", "a1d1", "a1c1", "a1b1", "d4e5", "d4d5", "a4a5", "c3c4", "h2h3", "h2h4"], "solution_first_move": "d3f5", "solution_full": ["d3f5", "e6f5", "f2f5"], "themes": ["advantage", "master", "middlegame", "pin", "short"], "rating": 960, "puzzle_id": "BfZ5U"} {"fen": "4k3/8/4PKp1/5pPp/1N1n4/8/8/8 w - - 5 55", "side": "white", "legal_moves": ["f6g7", "f6g6", "f6e5", "b4c6", "b4a6", "b4d5", "b4d3", "b4c2", "b4a2", "e6e7"], "solution_first_move": "b4d5", "solution_full": ["b4d5", "d4c6", "f6g6", "c6e7", "d5e7", "e8e7", "g6f5", "h5h4", "g5g6", "h4h3", "g6g7", "h3h2", "g7g8q"], "themes": ["advancedPawn", "crushing", "endgame", "knightEndgame", "promotion", "quietMove", "veryLong"], "rating": 2446, "puzzle_id": "5mTeI"} {"fen": "8/6kp/4Q3/4Ppp1/pp1BpP2/4P1K1/P2q2PP/8 b - - 0 31", "side": "black", "legal_moves": ["g7h8", "g7f8", "d2d4", "d2e3", "d2d3", "d2c3", "d2g2", "d2f2", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2d1", "d2c1", "g5f4", "h7h6", "g5g4", "b4b3", "a4a3", "h7h5"], "solution_first_move": "d2e1", "solution_full": ["d2e1", "g3h3", "g5g4"], "themes": ["endgame", "master", "mate", "mateIn2", "short"], "rating": 1176, "puzzle_id": "EOHrX"} {"fen": "r3k1nr/pp3pp1/1qn1p2p/1N2P3/5P2/4Q3/PPP3PP/2KR3R w kq - 3 15", "side": "white", "legal_moves": ["b5c7", "b5a7", "b5d6", "b5d4", "b5c3", "b5a3", "e3b6", "e3c5", "e3e4", "e3d4", "e3h3", "e3g3", "e3f3", "e3d3", "e3c3", "e3b3", "e3a3", "e3f2", "e3e2", "e3d2", "e3g1", "e3e1", "h1g1", "h1f1", "h1e1", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1g1", "d1f1", "d1e1", "c1d2", "c1b1", "f4f5", "h2h3", "g2g3", "c2c3", "b2b3", "a2a3", "h2h4", "g2g4", "c2c4", "b2b4", "a2a4"], "solution_first_move": "e3b6", "solution_full": ["e3b6", "a7b6", "b5c7", "e8f8", "c7a8"], "themes": ["advantage", "fork", "long", "middlegame"], "rating": 1652, "puzzle_id": "1w2sq"} {"fen": "r1b2k1r/pp2q1pp/1n1R1p2/4p2Q/2B1p3/2P5/P1P2PPP/2K4R w - - 1 15", "side": "white", "legal_moves": ["d6d8", "d6d7", "d6f6", "d6e6", "d6c6", "d6b6", "d6d5", "d6d4", "d6d3", "d6d2", "d6d1", "h5e8", "h5h7", "h5f7", "h5h6", "h5g6", "h5g5", "h5f5", "h5e5", "h5h4", "h5g4", "h5h3", "h5f3", "h5e2", "h5d1", "c4g8", "c4f7", "c4e6", "c4a6", "c4d5", "c4b5", "c4d3", "c4b3", "c4e2", "c4f1", "h1g1", "h1f1", "h1e1", "h1d1", "c1d2", "c1b2", "c1d1", "c1b1", "h2h3", "g2g3", "f2f3", "a2a3", "h2h4", "g2g4", "f2f4", "a2a4"], "solution_first_move": "d6d8", "solution_full": ["d6d8", "e7d8", "h5f7"], "themes": ["mate", "mateIn2", "middlegame", "sacrifice", "short"], "rating": 1177, "puzzle_id": "5eHqy"} {"fen": "7N/5P2/8/8/1Rbk4/4p3/3p4/3K4 b - - 0 49", "side": "black", "legal_moves": ["d4e5", "d4d5", "d4c5", "d4e4", "d4d3", "d4c3", "e3e2"], "solution_first_move": "d4d3", "solution_full": ["d4d3", "f7f8q", "e3e2"], "themes": ["advancedPawn", "endgame", "mate", "mateIn2", "short"], "rating": 1825, "puzzle_id": "73GBF"} {"fen": "2k2rr1/1pp5/p1pb2np/4pp1q/3PPPpP/2N3B1/PPP1N1K1/R4Q1R b - - 0 21", "side": "black", "legal_moves": ["g8h8", "g8g7", "f8e8", "f8d8", "f8f7", "f8f6", "c8d8", "c8b8", "c8d7", "g6h8", "g6e7", "g6h4", "g6f4", "d6e7", "d6c5", "d6b4", "d6a3", "h5g5", "h5h4", "f5e4", "e5f4", "e5d4", "b7b6", "c6c5", "a6a5", "b7b5"], "solution_first_move": "e5f4", "solution_full": ["e5f4", "g3f4", "f5e4"], "themes": ["crushing", "middlegame", "short"], "rating": 2171, "puzzle_id": "917Iq"} {"fen": "rnbqk2r/ppp1bppp/3p1n2/8/2B1P3/2N2N2/PP3PPP/R1BQK2R w KQkq -", "best_move": "h2h3", "pv_line": "h2h3 b8c6 e1g1 e8g8 c1e3 h7h6 a2a3 c6e5 f3e5 d6e5", "depth": 30, "knodes": 63232, "cp": -26, "mate": null, "eval_perspective": "white"} {"fen": "8/1k6/8/4Q3/2BK4/8/8/8 w - -", "best_move": "e5e7", "pv_line": "e5e7 b7c6 c4a6 c6b6 e7b7 b6a5 b7b5", "depth": 245, "knodes": 4497, "cp": null, "mate": 4, "eval_perspective": "white"} {"fen": "6k1/pp1q1r1p/1np1N3/5pQ1/8/1P4RP/1P3PPK/8 b - -", "best_move": "f7g7", "pv_line": "f7g7 g5f6 d7e7 f6e7 g7g3 e7f8", "depth": 99, "knodes": 163, "cp": null, "mate": 3, "eval_perspective": "white"} {"fen": "4r2k/p5p1/1p3n1p/2p5/5b2/2N1B2P/PP2RPP1/6K1 w - - 1 25", "side": "white", "legal_moves": ["e3c5", "e3f4", "e3d4", "e3d2", "e3c1", "c3d5", "c3b5", "c3e4", "c3a4", "c3d1", "c3b1", "e2d2", "e2c2", "e2e1", "g1h1", "g1f1", "h3h4", "g2g3", "f2f3", "b2b3", "a2a3", "g2g4", "b2b4", "a2a4"], "solution_first_move": "e3f4", "solution_full": ["e3f4", "e8e2", "c3e2"], "themes": ["advantage", "endgame", "hangingPiece", "master", "masterVsMaster", "short"], "rating": 680, "puzzle_id": "8yZpM"} {"fen": "4rrk1/p4q2/Qp2pb1p/3p2p1/3Np3/2P1P1P1/PP3PP1/2RR2K1 b - - 1 32", "side": "black", "legal_moves": ["g8h8", "g8h7", "g8g7", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "f7h7", "f7g7", "f7e7", "f7d7", "f7c7", "f7b7", "f7g6", "f7h5", "f6h8", "f6d8", "f6g7", "f6e7", "f6e5", "f6d4", "h6h5", "e6e5", "b6b5", "g5g4"], "solution_first_move": "f6d4", "solution_full": ["f6d4", "c3d4", "f7f2"], "themes": ["advantage", "discoveredAttack", "kingsideAttack", "middlegame", "short"], "rating": 1125, "puzzle_id": "Ci9BZ"} {"fen": "rnbqkbnr/pp2pppp/2p5/8/4pP2/2N5/PPPPQ1PP/R1B1KBNR b KQkq -", "source": "stockfish_multipv", "best_move": "g8f6", "candidate_ratings": [{"uci": "g8f6", "rank": 1, "expectation": 0.5083325618141193, "pv_line": "g8f6 c3e4 f6e4 e2e4 b8d7 f1c4 d7f6 e4e2", "cp": 10}, {"uci": "g7g6", "rank": 2, "expectation": 0.5041665702187286, "pv_line": "g7g6 c3e4 f8g7 c2c3 g8f6 e4f6 g7f6 e2f2", "cp": 5}, {"uci": "f7f5", "rank": 3, "expectation": 0.4925005624493796, "pv_line": "f7f5 d2d3 e4d3 e2d3 e7e6 c1e3 d8d3 f1d3", "cp": -9}, {"uci": "b8a6", "rank": 4, "expectation": 0.48583712301149196, "pv_line": "b8a6 c3e4 a6b4 d2d3 c8g4 e2d2 e7e6 a2a3", "cp": -17}, {"uci": "a7a5", "rank": 5, "expectation": 0.48250714233361025, "pv_line": "a7a5 c3e4 b8a6 d2d4 g7g6 g1f3 f8g7 c2c3", "cp": -21}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "5k2/p1rq2b1/bp5p/3p1p1B/3P4/2P1R2P/PP3PP1/4R1K1 w - - 0 34", "side": "white", "legal_moves": ["h5e8", "h5f7", "h5g6", "h5g4", "h5f3", "h5e2", "h5d1", "e3e8", "e3e7", "e3e6", "e3e5", "e3e4", "e3g3", "e3f3", "e3d3", "e3e2", "g1h2", "g1h1", "e1e2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "h3h4", "c3c4", "g2g3", "f2f3", "b2b3", "a2a3", "g2g4", "f2f4", "b2b4", "a2a4"], "solution_first_move": "e3e8", "solution_full": ["e3e8", "d7e8", "e1e8"], "themes": ["mate", "mateIn2", "middlegame", "operaMate", "short"], "rating": 907, "puzzle_id": "GzUz8"} {"fen": "2r1q2k/5pp1/4b2p/2bpP3/5Q2/1R6/r3NP1P/1R3BK1 w - -", "source": "stockfish_multipv", "best_move": "b3b5", "candidate_ratings": [{"uci": "b3b5", "rank": 1, "expectation": 0.307180637795797, "pv_line": "b3b5 c5a7 e2d4 a7d4 f4d4 e6f5 b1b3 f5e4", "cp": -244}, {"uci": "f4f3", "rank": 2, "expectation": 0.300833210246896, "pv_line": "f4f3 e8e7 f3g3 c5a7 b3b7 c8c7 b1b2 a2a3", "cp": -253}, {"uci": "f4g3", "rank": 3, "expectation": 0.29943285752602705, "pv_line": "f4g3 e6f5 b1b2 a2a4 f1h3 f5h3 g3h3 a4e4", "cp": -255}, {"uci": "h2h3", "rank": 4, "expectation": 0.2980362446539506, "pv_line": "h2h3 a2a4 f4g3 e6f5 b1c1 c8c6 f1g2 c6g6", "cp": -257}, {"uci": "e2d4", "rank": 5, "expectation": 0.29179818908914246, "pv_line": "e2d4 a2a4 b3d3 c5a7 f4d2 e6d7 d2f4 c8c4", "cp": -266}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b3b5: -244cp; Bucket: clear advantage\n2. Candidate f4f3: -253cp; Bucket: clear advantage\n3. Candidate f4g3: -255cp; Bucket: clear advantage\n4. Candidate h2h3: -257cp; Bucket: clear advantage\n5. Candidate e2d4: -266cp; Bucket: clear advantage\n6. Best: f4f3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b3b5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b3b5: -244cp; Bucket: clear advantage\nCandidate f4f3: -253cp; Bucket: clear advantage\nCandidate f4g3: -255cp; Bucket: clear advantage\nCandidate h2h3: -257cp; Bucket: clear advantage\nCandidate e2d4: -266cp; Bucket: clear advantage\nBest: b3b5", "displayed_trace": "Candidate b3b5: -244cp; Bucket: clear advantage\nCandidate f4f3: -253cp; Bucket: clear advantage\nCandidate f4g3: -255cp; Bucket: clear advantage\nCandidate h2h3: -257cp; Bucket: clear advantage\nCandidate e2d4: -266cp; Bucket: clear advantage\nBest: f4f3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b3b5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b3b5."}} {"fen": "8/p7/1p6/1P2QP2/1P6/k1rr4/5K1P/8 b - 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- 2 33", "side": "white", "legal_moves": ["e7e8", "e7h7", "e7g7", "e7f7", "e7d7", "e7c7", "e7b7", "e7a7", "e7e6", "e7e5", "f6g8", "f6e8", "f6h7", "f6d7", "f6h5", "f6d5", "f6g4", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1h1", "d1g1", "d1f1", "d1e1", "d1c1", "b1a1", "e4e5"], "solution_first_move": "e7h7", "solution_full": ["e7h7", "h5f6", "h7h4"], "themes": ["advantage", "endgame", "short"], "rating": 1786, "puzzle_id": "KY5l2"} {"fen": "4r1k1/2Q3pp/8/2p5/P1Pb2P1/1P5P/2P5/1K2R3 b - - 0 35", "side": "black", "legal_moves": ["g8h8", "g8f8", "e8f8", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "e8e2", "e8e1", "d4f6", "d4e5", "d4e3", "d4c3", "d4f2", "d4b2", "d4g1", "d4a1", "h7h6", "g7g6", "h7h5", "g7g5"], "solution_first_move": "e8e1", "solution_full": ["e8e1", "b1a2", "e1a1"], "themes": ["endgame", "mate", "mateIn2", "operaMate", "short"], "rating": 1022, "puzzle_id": "EvQya"} {"fen": "k7/2RK4/8/8/8/8/8/7R w - -", "source": "stockfish_multipv", "best_move": "h1h8", "candidate_ratings": [{"uci": "h1h8", "rank": 1, "expectation": 1.0, "pv_line": "h1h8", "mate": 1}, {"uci": "h1g1", "rank": 2, "expectation": 1.0, "pv_line": "h1g1 a8b8 g1g8", "mate": 2}, {"uci": "h1h3", "rank": 3, "expectation": 1.0, "pv_line": "h1h3 a8b8 h3h8", "mate": 2}, {"uci": "h1h4", "rank": 4, "expectation": 1.0, "pv_line": "h1h4 a8b8 h4h8", "mate": 2}, {"uci": "d7c6", "rank": 5, "expectation": 1.0, "pv_line": "d7c6 a8b8 h1h8", "mate": 2}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h1h8: M1; Bucket: forced mate\n2. Candidate h1g1: M2; Bucket: forced mate\n3. Candidate h1h3: M2; Bucket: forced mate\n4. Candidate h1h4: M2; Bucket: forced mate\n5. Candidate d7c6: M2; Bucket: forced mate\n6. Best: h1g1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h1h8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h1h8: M1; Bucket: forced mate\nCandidate h1g1: M2; Bucket: forced mate\nCandidate h1h3: M2; Bucket: forced mate\nCandidate h1h4: M2; Bucket: forced mate\nCandidate d7c6: M2; Bucket: forced mate\nBest: h1h8", "displayed_trace": "Candidate h1h8: M1; Bucket: forced mate\nCandidate h1g1: M2; Bucket: forced mate\nCandidate h1h3: M2; Bucket: forced mate\nCandidate h1h4: M2; Bucket: forced mate\nCandidate d7c6: M2; Bucket: forced mate\nBest: h1g1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h1h8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h1h8."}} {"fen": "2r3k1/p4pp1/1p5p/8/1q6/1P3Q1P/5PPB/4R1K1 b - 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-", "best_move": "d3a3", "pv_line": "d3a3 d6a3 e2d1 d7c7 b7a8 a3e7 d1c2 c6c5 c2b1 c5c4", "depth": 34, "knodes": 12566, "cp": -546, "mate": null, "eval_perspective": "white"} {"fen": "8/R7/8/8/2kP4/P1n4P/1KN5/6r1 b - - 4 42", "side": "black", "legal_moves": ["c4d5", "c4b5", "c4d3", "c3d5", "c3b5", "c3e4", "c3a4", "c3e2", "c3a2", "c3d1", "c3b1", "g1g8", "g1g7", "g1g6", "g1g5", "g1g4", "g1g3", "g1g2", "g1h1", "g1f1", "g1e1", "g1d1", "g1c1", "g1b1", "g1a1"], "solution_first_move": "g1b1", "solution_full": ["g1b1"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 1005, "puzzle_id": "6Q4M0"} {"fen": "1k1r4/1bp1nBQ1/p6p/1p2p3/4P3/2N5/PPq3PP/1R5K w - - 1 24", "side": "white", "legal_moves": ["g7h8", "g7g8", "g7f8", "g7h7", "g7h6", "g7g6", "g7f6", "g7g5", "g7e5", "g7g4", "g7g3", "f7g8", "f7e8", "f7g6", "f7e6", "f7h5", "f7d5", "f7c4", "f7b3", "c3d5", "c3b5", "c3a4", "c3e2", "c3d1", "h1g1", "b1g1", "b1f1", "b1e1", "b1d1", "b1c1", "b1a1", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "f7b3", "solution_full": ["f7b3", "c2f2", "g7e7"], "themes": ["advantage", "discoveredAttack", "middlegame", "short"], "rating": 1602, "puzzle_id": "3SESv"} {"fen": "r1k1r3/2pb3p/p1N3pn/2pP4/2B5/8/PR4PP/5R1K w - - 3 31", "side": "white", "legal_moves": ["c6d8", "c6b8", "c6e7", "c6a7", "c6e5", "c6a5", "c6d4", "c6b4", "c4a6", "c4b5", "c4d3", "c4b3", "c4e2", "b2b8", "b2b7", "b2b6", "b2b5", "b2b4", "b2b3", "b2f2", "b2e2", "b2d2", "b2c2", "b2b1", "h1g1", "f1f8", "f1f7", "f1f6", "f1f5", "f1f4", "f1f3", "f1f2", "f1g1", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "d5d6", "h2h3", "g2g3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "c4a6", "solution_full": ["c4a6", "a8a6", "b2b8"], "themes": ["master", "mate", "mateIn2", "middlegame", "queensideAttack", "sacrifice", "short"], "rating": 1409, "puzzle_id": "80CTI"} {"fen": "6k1/1b2qpp1/2p1p2p/pp6/5P2/2nQP3/PPB3PP/6K1 w - - 0 24", "side": "white", "legal_moves": ["d3d8", "d3h7", "d3d7", "d3g6", "d3d6", "d3f5", "d3d5", "d3b5", "d3e4", "d3d4", "d3c4", "d3c3", "d3e2", "d3d2", "d3f1", "d3d1", "c2a4", "c2b3", "c2d1", "c2b1", "g1f2", "g1h1", "g1f1", "b2c3", "f4f5", "e3e4", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "d3h7", "solution_full": ["d3h7", "g8f8", "h7h8"], "themes": ["endgame", "kingsideAttack", "mate", "mateIn2", "short"], "rating": 1044, "puzzle_id": "F4o5s"} {"fen": "rnb1kb1r/ppp2ppp/8/3pN3/4n2q/5P2/PPPPQ1PP/RNB1KB1R w KQkq -", "best_move": "g2g3", "pv_line": "g2g3 e4g3 h2g3 h4h1 e5g6 c8e6 g6h8 b8c6 c2c3 e8c8", "depth": 34, "knodes": 123940, "cp": -216, "mate": null, "eval_perspective": "white"} {"fen": "2b3k1/pp3rp1/1b3p1B/1q1B4/8/2P3QP/PP3PP1/4R1K1 b - - 0 24", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "c8d7", "c8e6", "c8f5", "c8g4", "c8h3", "b6d8", "b6c7", "b6c5", "b6a5", "b6d4", "b6e3", "b6f2", "b5e8", "b5d7", "b5c6", "b5a6", "b5d5", "b5c5", "b5a5", "b5c4", "b5b4", "b5a4", "b5d3", "b5b3", "b5e2", "b5b2", "b5f1", "g7g6", "a7a6", "f6f5", "g7g5", "a7a5"], "solution_first_move": "b5d5", "solution_full": ["b5d5", "e1e8", "g8h7"], "themes": ["advantage", "middlegame", "short"], "rating": 1607, "puzzle_id": "8ZF1f"} {"fen": "3b2k1/pp5p/3p3B/3Pr3/3K2P1/8/PP6/6R1 b - - 5 32", "side": "black", "legal_moves": ["g8h8", "g8f7", "d8e7", "d8c7", "d8f6", "d8b6", "d8g5", "d8a5", "d8h4", "e5e8", "e5e7", "e5e6", "e5h5", "e5g5", "e5f5", "e5d5", "e5e4", "e5e3", "e5e2", "e5e1", "b7b6", "a7a6", "b7b5", "a7a5"], "solution_first_move": "d8b6", "solution_full": ["d8b6", "d4c4", "b6g1"], "themes": ["crushing", "endgame", "short", "skewer"], "rating": 1096, "puzzle_id": "DU3GW"} {"fen": "3k4/1Kn2pp1/P3p2p/4P2P/5P2/6P1/8/8 w - - 1 44", "side": "white", "legal_moves": ["b7b8", "b7a7", "b7c6", "b7b6", "a6a7", "f4f5", "g3g4"], "solution_first_move": "a6a7", "solution_full": ["a6a7", "g7g6", "h5g6", "f7g6", "g3g4"], "themes": ["advancedPawn", "crushing", "defensiveMove", "endgame", "knightEndgame", "long"], "rating": 2318, "puzzle_id": "HfcAH"} {"fen": "r1b1kb1r/1p1n1p1p/2p1pq2/pPPpN3/3Pn1p1/P3P3/RB3PPP/1N1QKB1R b Kkq - 1 11", "side": "black", "legal_moves": ["h8g8", "f8g7", "f8e7", "f8h6", "f8d6", "f8c5", "e8d8", "e8e7", "a8b8", "a8a7", "a8a6", "d7b8", "d7b6", "d7e5", "d7c5", "f6d8", "f6g7", "f6e7", "f6h6", "f6g6", "f6g5", "f6f5", "f6e5", "f6h4", "f6f4", "f6f3", "f6f2", "e4d6", "e4g5", "e4c5", "e4g3", "e4c3", "e4f2", "e4d2", "c6b5", "h7h6", "b7b6", "a5a4", "g4g3", "h7h5"], "solution_first_move": "f6f2", "solution_full": ["f6f2"], "themes": ["attackingF2F7", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 879, "puzzle_id": "2SxGL"} {"fen": "2b5/2P5/2k4K/7P/8/8/8/8 w - - 1 55", "side": "white", "legal_moves": ["h6h7", "h6g7", "h6g6", "h6g5"], "solution_first_move": "h6g5", "solution_full": ["h6g5", "c6c7", "h5h6"], "themes": ["bishopEndgame", "crushing", "endgame", "short"], "rating": 2288, "puzzle_id": "BHG0X"} {"fen": "2k5/8/8/1PK5/8/8/8/7B b - -", "best_move": "c8d8", "pv_line": "c8d8 b5b6 d8e7 b6b7 e7f6 b7b8q f6g6 b8f4 g6h5 f4g3", "depth": 99, "knodes": 21843, "cp": null, "mate": 8, "eval_perspective": "white"} {"fen": "R7/8/4K3/1k1n4/p7/8/8/8 b - - 0 52", "side": "black", "legal_moves": ["d5e7", "d5c7", "d5f6", "d5b6", "d5f4", "d5b4", "d5e3", "d5c3", "b5c6", "b5b6", "b5c5", "b5c4", "b5b4", "a4a3"], "solution_first_move": "d5c7", "solution_full": ["d5c7", "e6e5", "c7a8"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 793, "puzzle_id": "IoArh"} {"fen": "4r2k/3Q2pp/p6n/2p2p2/P2p3b/1P2q2P/2P3R1/7K w - - 4 38", "side": "white", "legal_moves": ["d7e8", "d7d8", "d7c8", "d7g7", "d7f7", "d7e7", "d7c7", "d7b7", "d7a7", "d7e6", "d7d6", "d7c6", "d7f5", "d7d5", "d7b5", "d7d4", "g2g7", "g2g6", "g2g5", "g2g4", "g2g3", "g2h2", "g2f2", "g2e2", "g2d2", "g2g1", "h1h2", "a4a5", "b3b4", "c2c3", "c2c4"], "solution_first_move": "d7g7", "solution_full": ["d7g7"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 1239, "puzzle_id": "I5fcJ"} {"fen": "8/6P1/4Nk2/7P/P1B5/5K2/8/8 b - -", "best_move": "f6f7", "pv_line": "f6f7 h5h6 f7e7 g7g8q e7d6 g8g7 d6c6 g7c7", "depth": 99, "knodes": 1187, "cp": null, "mate": 4, "eval_perspective": "white"} {"fen": "5rk1/5rb1/p2p1nQ1/1p1Pp2p/P3P3/1P1B1RPP/3q4/3N1RK1 b - - 0 29", "side": "black", "legal_moves": ["g8h8", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f7e7", "f7d7", "f7c7", "f7b7", "f7a7", "f6e8", "f6h7", "f6d7", "f6d5", "f6g4", "f6e4", "d2h6", "d2g5", "d2a5", "d2f4", "d2b4", "d2e3", "d2d3", "d2c3", "d2h2", "d2g2", "d2f2", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2d1", "d2c1", "b5a4", "a6a5", "h5h4", "b5b4"], "solution_first_move": "f6g4", "solution_full": ["f6g4", "h3g4", "f7f3", "f1f3", "f8f3"], "themes": ["crushing", "discoveredAttack", "long", "middlegame", "quietMove"], "rating": 1890, "puzzle_id": "C9uOn"} {"fen": "r2q1rk1/p1p3pp/2Qb4/3p1b2/4n3/2P4P/PP1NNP2/2KR1B1R w - - 3 15", "side": "white", "legal_moves": ["c6e8", "c6a8", "c6d7", "c6c7", "c6b7", "c6d6", "c6b6", "c6a6", "c6d5", "c6c5", "c6b5", "c6c4", "c6a4", "e2f4", "e2d4", "e2g3", "e2g1", "d2e4", "d2c4", "d2f3", "d2b3", "d2b1", "h1h2", "h1g1", "f1g2", "d1e1", "c1c2", "c1b1", "h3h4", "c3c4", "f2f3", "b2b3", "a2a3", "f2f4", "b2b4", "a2a4"], "solution_first_move": "c6d5", "solution_full": ["c6d5", "g8h8", "d2e4", "f5e4", "d5e4"], "themes": ["crushing", "long", "opening"], "rating": 1395, "puzzle_id": "1TgNc"} {"fen": "7r/pp4R1/4p2p/4N2k/1q2b3/3Q4/PP3PP1/1K6 w - - 0 27", "side": "white", "legal_moves": ["g7g8", "g7h7", "g7f7", "g7e7", "g7d7", "g7c7", "g7b7", "g7g6", "g7g5", "g7g4", "g7g3", "e5f7", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "d3e4", "d3c2", "b1c2", "b1c1", "b1a1", "g2g3", "f2f3", "b2b3", "a2a3", "g2g4", "f2f4", "a2a4"], "solution_first_move": "g2g4", "solution_full": ["g2g4", "h5h4", "e5f3", "h4h3", "f3g5"], "themes": ["advantage", "discoveredCheck", "doubleCheck", "endgame", "long", "master"], "rating": 2147, "puzzle_id": "7mvKM"} {"fen": "r2qkbnr/p3pppp/2p5/2pp4/5Pb1/1P2PN2/P1PP2PP/RNBQK2R b KQkq -", "best_move": "e7e6", "pv_line": "e7e6 c1b2 g8f6 e1g1 f8e7 h2h3 g4f3 f1f3 e8g8 d2d3", "depth": 30, "knodes": 21953, "cp": 17, "mate": null, "eval_perspective": "white"} {"fen": "r2q3r/ppp2kpp/8/2b1p3/3nP1b1/2NPB3/PPP2P2/R2Q1RK1 w - -", "source": "stockfish_multipv", "best_move": "d1g4", "candidate_ratings": [{"uci": "d1g4", "rank": 1, "expectation": 0.5, "pv_line": "d1g4 h8f8 f2f4 e5f4 f1f4 f7g8 a1f1 d8d6", "cp": 0}, {"uci": "f2f3", "rank": 2, "expectation": 0.16612633827165055, "pv_line": "f2f3 g4h5 c3d5 c7c6 b2b4 c5d6 d5f4 e5f4", "cp": -484}, {"uci": "g1g2", "rank": 3, "expectation": 0.07703486608852002, "pv_line": "g1g2 g4d1 f1d1 d8f6 d1h1 f6f3 g2g1 a8f8", "cp": -745}, {"uci": "c3b5", "rank": 4, "expectation": 0.07446794516602807, "pv_line": "c3b5 g4d1 b5d4 e5d4 a1d1 d8h4 e3f4 h4f4", "cp": -756}, {"uci": "e3d4", "rank": 5, "expectation": 0.07287563659634101, "pv_line": "e3d4 g4d1 f1d1 d8d4 d1d2 d4d8 g1f1 d8g5", "cp": -763}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d1g4: +0cp; Bucket: equal\n2. Candidate f2f3: -484cp; Bucket: winning\n3. Candidate g1g2: -745cp; Bucket: decisive\n4. Candidate c3b5: -756cp; Bucket: decisive\n5. Candidate e3d4: -763cp; Bucket: decisive\n6. Best: f2f3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1g4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d1g4: +0cp; Bucket: equal\nCandidate f2f3: -484cp; Bucket: winning\nCandidate g1g2: -745cp; Bucket: decisive\nCandidate c3b5: -756cp; Bucket: decisive\nCandidate e3d4: -763cp; Bucket: decisive\nBest: d1g4", "displayed_trace": "Candidate d1g4: +0cp; Bucket: equal\nCandidate f2f3: -484cp; Bucket: winning\nCandidate g1g2: -745cp; Bucket: decisive\nCandidate c3b5: -756cp; Bucket: decisive\nCandidate e3d4: -763cp; Bucket: decisive\nBest: f2f3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d1g4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d1g4."}} {"fen": "4r3/5k2/R4Pp1/5b2/2p4P/2B3K1/8/8 b - - 0 40", "side": "black", "legal_moves": ["e8h8", "e8g8", "e8f8", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "e8e2", "e8e1", "f7g8", "f7f8", "f5c8", "f5d7", "f5e6", "f5g4", "f5e4", "f5h3", "f5d3", "f5c2", "f5b1", "g6g5"], "solution_first_move": "e8e3", "solution_full": ["e8e3", "g3f4", "e3c3"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 858, "puzzle_id": "JMBSS"} {"fen": "r1b3k1/pp3ppp/8/8/8/2P5/PP3PPP/RNqQ2K1 b - - 2 18", "side": "black", "legal_moves": ["g8h8", "g8f8", "c8d7", "c8e6", "c8f5", "c8g4", "c8h3", "a8b8", "c1h6", "c1g5", "c1f4", "c1e3", "c1c3", "c1d2", "c1c2", "c1b2", "c1d1", "c1b1", "h7h6", "g7g6", "f7f6", "b7b6", "a7a6", "h7h5", "g7g5", "f7f5", "b7b5", "a7a5"], "solution_first_move": "c1d1", "solution_full": ["c1d1"], "themes": ["backRankMate", "endgame", "hangingPiece", "mate", "mateIn1", "oneMove"], "rating": 425, "puzzle_id": "1Zdb6"} {"fen": "8/6rp/8/pp6/P2PkP2/2P1n3/2P2K1P/4R3 b - - 0 36", "side": "black", "legal_moves": ["g7g8", "g7f7", "g7e7", "g7d7", "g7c7", "g7b7", "g7a7", "g7g6", "g7g5", "g7g4", "g7g3", "g7g2", "g7g1", "e4f5", "e4d5", "e4f4", "b5a4", "h7h6", "b5b4", "h7h5"], "solution_first_move": "g7g2", "solution_full": ["g7g2"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove"], "rating": 836, "puzzle_id": "8pKEe"} {"fen": "8/8/8/8/2KQ4/8/2k5/8 b - -", "best_move": "c2b1", "pv_line": "c2b1 c4c3 b1a1 c3b3 a1b1 d4b2", "depth": 245, "knodes": 777, "cp": null, "mate": 3, "eval_perspective": "white"} {"fen": "3k3r/r2n1p1p/p2P2p1/2p1pq2/Pp6/4Q1P1/1P3PBP/2RR2K1 b - -", "source": "stockfish_multipv", "best_move": "f5h5", "candidate_ratings": [{"uci": "f5h5", "rank": 1, "expectation": 0.14637335467825055, "pv_line": "f5h5 g2f3 h5f5 f3c6 h7h6 c6d7 a7d7 c1c5", "cp": -529}, {"uci": "f5f6", "rank": 2, "expectation": 0.1362647437625753, "pv_line": "f5f6 c1c5 d7c5 e3c5 a7d7 c5b4 d8e8 g2c6", "cp": -554}, {"uci": "e5e4", "rank": 3, "expectation": 0.13124446943852333, "pv_line": "e5e4 g2e4 h8e8 e4f5 e8e3 f5d7 e3e4 d7h3", "cp": -567}, {"uci": "d8e8", "rank": 4, "expectation": 0.12382824369069746, "pv_line": "d8e8 c1c5 d7c5 e3c5 a7d7 c5c8 d7d8 g2c6", "cp": -587}, {"uci": "f5g4", "rank": 5, "expectation": 0.12238888682304887, "pv_line": "f5g4 h2h3 g4e6 c1c5 d7c5 e3c5 a7d7 g2c6", "cp": -591}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "3N2kr/p6p/5ppB/1p2p3/4P3/P3KP2/b1P3PP/8 w - -", "best_move": "f3f4", "pv_line": "f3f4 a2b1 c2c3 b1c2 h2h4 c2d1 g2g4 d1g4 f4e5 f6e5", "depth": 32, "knodes": 85455, "cp": 184, "mate": null, "eval_perspective": "white"} {"fen": "6k1/7p/P1R5/1K6/6p1/2p2r2/8/8 w - - 1 42", "side": "white", "legal_moves": ["c6c8", "c6c7", "c6h6", "c6g6", "c6f6", "c6e6", "c6d6", "c6b6", "c6c5", "c6c4", "c6c3", "b5b6", "b5c5", "b5a5", "b5c4", "b5b4", "b5a4", "a6a7"], "solution_first_move": "c6c8", "solution_full": ["c6c8", "g8f7", "a6a7"], "themes": ["advancedPawn", "crushing", "endgame", "rookEndgame", "short"], "rating": 2105, "puzzle_id": "AfKbj"} {"fen": "1Q6/8/b1P1p2k/4q1pp/5p2/5P2/2Q2KPP/1R6 b - - 0 41", "side": "black", "legal_moves": ["h6g7", "a6c8", "a6b7", "a6b5", "a6c4", "a6d3", "a6e2", "a6f1", "e5h8", "e5b8", "e5g7", "e5c7", "e5f6", "e5d6", "e5f5", "e5d5", "e5c5", "e5b5", "e5a5", "e5e4", "e5d4", "e5e3", "e5c3", "e5e2", "e5b2", "e5e1", "e5a1", "h5h4", "g5g4"], "solution_first_move": "e5e3", "solution_full": ["e5e3"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 1500, "puzzle_id": "2yqol"} {"fen": "1K6/5p1k/2q3p1/1P6/3Q4/1P3P2/8/8 b - - 0 65", "side": "black", "legal_moves": ["h7g8", "h7h6", "c6e8", "c6c8", "c6a8", "c6d7", "c6c7", "c6b7", "c6f6", "c6e6", "c6d6", "c6b6", "c6a6", "c6d5", "c6c5", "c6b5", "c6e4", "c6c4", "c6f3", "c6c3", "c6c2", "c6c1", "f7f6", "g6g5", "f7f5"], "solution_first_move": "c6b5", "solution_full": ["c6b5", "b8c7", "b5b3"], "themes": ["advantage", "endgame", "master", "queenEndgame", "short"], "rating": 1115, "puzzle_id": "3m5IN"} {"fen": "8/1p3p2/4p3/p2k3p/5P1P/1P2K1P1/P7/8 w - - 0 36", "side": "white", "legal_moves": ["e3f3", "e3d3", "e3f2", "e3e2", "e3d2", "f4f5", "g3g4", "b3b4", "a2a3", "a2a4"], "solution_first_move": "g3g4", "solution_full": ["g3g4", "h5g4", "h4h5", "d5d6", "h5h6"], "themes": ["crushing", "endgame", "long", "pawnEndgame", "quietMove"], "rating": 1785, "puzzle_id": "ER6mI"} {"fen": "1rkq4/p2n3p/1ppPr1p1/5p2/5b2/B1QR4/P1P3PP/1R4K1 w - - 0 23", "side": "white", "legal_moves": ["d3d5", "d3d4", "d3h3", "d3g3", "d3f3", "d3e3", "d3d2", "d3d1", "c3h8", "c3g7", "c3f6", "c3c6", "c3e5", "c3c5", "c3a5", "c3d4", "c3c4", "c3b4", "c3b3", "c3d2", "c3b2", "c3e1", "c3a1", "a3c5", "a3b4", "a3b2", "a3c1", "g1f2", "g1h1", "g1f1", "b1b6", "b1b5", "b1b4", "b1b3", "b1b2", "b1f1", "b1e1", "b1d1", "b1c1", "b1a1", "h2h3", "g2g3", "h2h4", "g2g4"], "solution_first_move": "c3c6", "solution_full": ["c3c6", "d8c7", "c6c7"], "themes": ["mate", "mateIn2", "middlegame", "queensideAttack", "short"], "rating": 876, "puzzle_id": "DbOo0"} {"fen": "r2q3k/5P1p/p2p1b2/3nr1Q1/1P6/7R/1BP2P1P/6RK w - -", "best_move": "g5h6", "pv_line": "g5h6 d8g8 g1g8 a8g8 h6h7", "depth": 99, "knodes": 1227, "cp": null, "mate": 3, "eval_perspective": "white"} {"fen": "r4rk1/5R2/3N1Qpp/1N1q4/P7/7P/6PK/8 b - - 0 39", "side": "black", "legal_moves": ["f8e8", "f8d8", "f8c8", "f8b8", "f8f7", "a8e8", "a8d8", "a8c8", "a8b8", "a8a7", "a8a6", "a8a5", "a8a4", "d5f7", "d5b7", "d5e6", "d5d6", "d5c6", "d5h5", "d5g5", "d5f5", "d5e5", "d5c5", "d5b5", "d5e4", "d5d4", "d5c4", "d5f3", "d5d3", "d5b3", "d5g2", "d5d2", "d5a2", "d5d1", "h6h5", "g6g5"], "solution_first_move": "f8f7", "solution_full": ["f8f7", "d6f7", "d5f7"], "themes": ["advantage", "middlegame", "short"], "rating": 1311, "puzzle_id": "14ITS"} {"fen": "r1bqk2r/1p2npbp/p1n3p1/3p4/P4P2/2Np1N2/BPP3PP/R1BQ1RK1 w kq -", "source": "stockfish_multipv", "best_move": "c2d3", "candidate_ratings": [{"uci": "c2d3", "rank": 1, "expectation": 0.41338242108267, "pv_line": "c2d3 e8g8 h2h3 d8b6 g1h1 c8e6 d3d4 e7f5", "cp": -105}, {"uci": "d1d3", "rank": 2, "expectation": 0.4005117348425056, "pv_line": "d1d3 c6b4 d3d2 b4a2 a1a2 e8g8 c3e2 c8g4", "cp": -121}, {"uci": "h2h3", "rank": 3, "expectation": 0.3574000407172972, "pv_line": "h2h3 d8b6 g1h2 d3c2 d1c2 c8e6 c2e2 e8g8", "cp": -176}, {"uci": "f3e5", "rank": 4, "expectation": 0.34675509928171655, "pv_line": "f3e5 d3c2 d1c2 d8b6 g1h1 e8g8 a4a5 c6b4", "cp": -190}, {"uci": "f1e1", "rank": 5, "expectation": 0.33700567364414236, "pv_line": "f1e1 d3c2 d1c2 e8g8 c2f2 c8f5 f2h4 f8e8", "cp": -203}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate c2d3: -105cp; Bucket: slight edge\n2. Candidate d1d3: -121cp; Bucket: slight edge\n3. Candidate h2h3: -176cp; Bucket: clear advantage\n4. Candidate f3e5: -190cp; Bucket: clear advantage\n5. Candidate f1e1: -203cp; Bucket: clear advantage\n6. Best: d1d3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c2d3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c2d3: -105cp; Bucket: slight edge\nCandidate d1d3: -121cp; Bucket: slight edge\nCandidate h2h3: -176cp; Bucket: clear advantage\nCandidate f3e5: -190cp; Bucket: clear advantage\nCandidate f1e1: -203cp; Bucket: clear advantage\nBest: c2d3", "displayed_trace": "Candidate c2d3: -105cp; Bucket: slight edge\nCandidate d1d3: -121cp; Bucket: slight edge\nCandidate h2h3: -176cp; Bucket: clear advantage\nCandidate f3e5: -190cp; Bucket: clear advantage\nCandidate f1e1: -203cp; Bucket: clear advantage\nBest: d1d3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c2d3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c2d3."}} {"fen": "2rr2k1/1bB2ppp/p1npp3/8/1nP2P2/N1P5/P1Q3PP/1R1R2K1 b - - 0 24", "side": "black", "legal_moves": ["g8h8", "g8f8", "d8f8", "d8e8", "d8d7", "c8b8", "c8a8", "c8c7", "b7a8", "c6b8", "c6e7", "c6a7", "c6e5", "c6a5", "c6d4", "b4d5", "b4d3", "b4c2", "b4a2", "h7h6", "g7g6", "f7f6", "e6e5", "d6d5", "a6a5", "h7h5", "g7g5", "f7f5"], "solution_first_move": "b4c2", "solution_full": ["b4c2", "c7d8", "c2a3", "b1b7", "c6d8"], "themes": ["advantage", "long", "middlegame"], "rating": 2204, "puzzle_id": "3WBWg"} {"fen": "5r2/pp2bp1R/4knp1/6N1/3K1B2/P4P2/1P3P2/8 b - - 2 26", "side": "black", "legal_moves": ["e6d7", "e6f5"], "solution_first_move": "e6f5", "solution_full": ["e6f5", "h7f7", "f8f7", "g5f7", "f5f4"], "themes": ["advantage", "endgame", "long"], "rating": 1464, "puzzle_id": "8p0sp"} {"fen": "8/8/6p1/6p1/5kP1/1pP4P/3K4/8 b - - 1 45", "side": "black", "legal_moves": ["f4e5", "f4e4", "f4g3", "f4f3", "b3b2"], "solution_first_move": "f4e4", "solution_full": ["f4e4", "c3c4", "e4d4"], "themes": ["crushing", "endgame", "pawnEndgame", "short", "zugzwang"], "rating": 2097, "puzzle_id": "GYNg2"} {"fen": "6k1/6p1/2N5/3r1b1p/3p1P2/1P3R2/5K1P/8 w - - 2 50", "side": "white", "legal_moves": ["c6d8", "c6b8", "c6e7", "c6a7", "c6e5", "c6a5", "c6d4", "c6b4", "f3h3", "f3g3", "f3e3", "f3d3", "f3c3", "f2g3", "f2g2", "f2e2", "f2g1", "f2f1", "f2e1", "b3b4", "h2h3", "h2h4"], "solution_first_move": "c6e7", "solution_full": ["c6e7", "g8f7", "e7d5"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 725, "puzzle_id": "IDYU5"} {"fen": "r1b2rk1/pp3ppp/4p3/8/8/2qB1Q2/P4PPP/1R2R1K1 w - - 0 19", "side": "white", "legal_moves": ["f3f7", "f3b7", "f3f6", "f3c6", "f3h5", "f3f5", "f3d5", "f3g4", "f3f4", "f3e4", "f3h3", "f3g3", "f3e3", "f3e2", "f3d1", "d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3f1", "g1h1", "g1f1", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "b1b7", "b1b6", "b1b5", "b1b4", "b1b3", "b1b2", "b1d1", "b1c1", "b1a1", "h2h3", "g2g3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "d3h7", "solution_full": ["d3h7", "g8h7", "f3c3"], "themes": ["crushing", "discoveredAttack", "middlegame", "short"], "rating": 976, "puzzle_id": "1O33l"} {"fen": "1r3rk1/8/2Bp2pP/4pp2/1p1B3Q/1qpPPK2/8/7R w - - 0 33", "side": "white", "legal_moves": ["c6e8", "c6a8", "c6d7", "c6b7", "c6d5", "c6b5", "c6e4", "c6a4", "h4d8", "h4e7", "h4f6", "h4h5", "h4g5", "h4g4", "h4f4", "h4e4", "h4h3", "h4g3", "h4h2", "h4f2", "h4e1", "d4a7", "d4b6", "d4e5", "d4c5", "d4c3", "f3g3", "f3g2", "f3f2", "f3e2", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "h1c1", "h1b1", "h1a1", "h6h7", "e3e4"], "solution_first_move": "h4e7", "solution_full": ["h4e7", "b3f7", "e7d6"], "themes": ["advantage", "master", "middlegame", "short"], "rating": 2472, "puzzle_id": "GH7EA"} {"fen": "3q4/p2R1rpk/1p4Np/2b2p1P/P7/2PQ4/1P3PP1/5K1R b - - 0 29", "side": "black", "legal_moves": ["d8h8", "d8g8", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8e7", "d8d7", "d8c7", "d8f6", "d8g5", "d8h4", "h7g8", "f7f8", "f7e7", "f7d7", "f7f6", "c5f8", "c5e7", "c5d6", "c5d4", "c5b4", "c5e3", "c5a3", "c5f2", "a7a6", "b6b5", "f5f4", "a7a5"], "solution_first_move": "f7d7", "solution_full": ["f7d7", "g6f8", "c5f8"], "themes": ["advantage", "middlegame", "short"], "rating": 1753, "puzzle_id": "HeqBN"} {"fen": "8/8/8/1k6/2R5/3K4/3R4/8 w - -", "best_move": "d2b2", "pv_line": "d2b2 b5a5 d3c3 a5a6 c4a4", "depth": 245, "knodes": 425, "cp": null, "mate": 3, "eval_perspective": "white"} {"fen": "5rk1/5p1p/3pnPpQ/1pq5/4P3/3P3P/r4RB1/3R2K1 w - - 6 29", "side": "white", "legal_moves": ["h6f8", "h6h7", "h6g7", "h6g6", "h6h5", "h6g5", "h6h4", "h6f4", "h6e3", "h6d2", "h6c1", "g2f3", "g2h1", "g2f1", "g1h2", "g1h1", "g1f1", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "e4e5", "h3h4", "d3d4"], "solution_first_move": "d3d4", "solution_full": ["d3d4", "c5c4", "f2a2", "c4a2", "d4d5"], "themes": ["crushing", "long", "master", "masterVsMaster", "middlegame"], "rating": 2240, "puzzle_id": "Dr3nh"} {"fen": "5rk1/ppbr1ppp/4p3/2PqP3/1P1p1BP1/P2R3P/3R4/3Q2K1 w - - 7 24", "side": "white", "legal_moves": ["f4h6", "f4g5", "f4g3", "f4e3", "f4h2", "d3d4", "d3g3", "d3f3", "d3e3", "d3c3", "d3b3", "d2h2", "d2g2", "d2f2", "d2e2", "d2c2", "d2b2", "d2a2", "g1h2", "g1f2", "g1f1", "d1a4", "d1f3", "d1b3", "d1e2", "d1c2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "c5c6", "g4g5", "b4b5", "h3h4", "a3a4"], "solution_first_move": "d3d4", "solution_full": ["d3d4", "d5d4", "d2d4", "d7d4", "d1d4"], "themes": ["advantage", "long", "middlegame"], "rating": 978, "puzzle_id": "5erfY"} {"fen": "r1b2rk1/ppppnppp/2n2q2/2b5/4P3/2N1N3/PPP2PPP/R1BQKB1R w KQ -", "best_move": "f1d3", "pv_line": "f1d3 c6e5 d3e2 d7d6 e1g1 f6h4 g1h1 c5e3 c1e3 e5g4", "depth": 30, "knodes": 30295, "cp": 32, "mate": null, "eval_perspective": "white"} {"fen": "4r1kB/3n1p1p/p2Q4/1p3qP1/1P3P2/P7/2P4P/R4RK1 b - - 0 26", "side": "black", "legal_moves": ["g8h8", "e8f8", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "e8e2", "e8e1", "d7f8", "d7b8", "d7f6", "d7b6", "d7e5", "d7c5", "f5g6", "f5f6", "f5e6", "f5g5", "f5e5", "f5d5", "f5c5", "f5g4", "f5f4", "f5e4", "f5h3", "f5d3", "f5c2", "h7h6", "f7f6", "a6a5", "h7h5"], "solution_first_move": "f5g4", "solution_full": ["f5g4", "g1h1", "e8e2", "d6c6", "g4h4", "c6g2", "e2g2"], "themes": ["advantage", "middlegame", "veryLong"], "rating": 2721, "puzzle_id": "6ictY"} {"fen": "3rk3/4p2p/6p1/2p1R3/1pP2PPP/rP1RK3/8/8 w - -", "best_move": "d3d8", "pv_line": "d3d8 e8d8 e5d5 d8e8 d5c5 a3b3 e3d4 b3h3 h4h5 g6h5", "depth": 31, "knodes": 1018, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "6k1/3R1p2/5Pp1/2b1P2p/8/1Bp2K2/Pr4PP/8 b - - 2 35", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "c5f8", "c5e7", "c5a7", "c5d6", "c5b6", "c5d4", "c5b4", "c5e3", "c5a3", "c5f2", "c5g1", "b2b3", "b2g2", "b2f2", "b2e2", "b2d2", "b2c2", "b2a2", "b2b1", "g6g5", "h5h4", "c3c2"], "solution_first_move": "b2b3", "solution_full": ["b2b3", "a2b3", "c3c2"], "themes": ["advancedPawn", "crushing", "endgame", "sacrifice", "short"], "rating": 1858, "puzzle_id": "JMoUZ"} {"fen": "3r3k/2r4p/pp5P/4pq2/8/5P2/PP6/K2R3R w - - 0 33", "side": "white", "legal_moves": ["h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "d1d8", "d1d7", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1g1", "d1f1", "d1e1", "d1c1", "d1b1", "f3f4", "b2b3", "a2a3", "b2b4", "a2a4"], "solution_first_move": "d1d8", "solution_full": ["d1d8", "f5f8", "d8f8"], "themes": ["endgame", "mate", "mateIn2", "queenRookEndgame", "short"], "rating": 400, "puzzle_id": "GiGgr"} {"fen": "1k6/1p6/r7/2R2P2/1QPp3q/pP1P3P/P5r1/1K3R2 b - - 1 43", "side": "black", "legal_moves": ["b8a8", "b8a7", "a6a8", "a6a7", "a6h6", "a6g6", "a6f6", "a6e6", "a6d6", "a6c6", "a6b6", "a6a5", "a6a4", "h4h8", "h4d8", "h4h7", "h4e7", "h4h6", "h4f6", "h4h5", "h4g5", "h4g4", "h4f4", "h4e4", "h4h3", "h4g3", "h4f2", "h4e1", "g2g8", "g2g7", "g2g6", "g2g5", "g2g4", "g2g3", "g2h2", "g2f2", "g2e2", "g2d2", "g2c2", "g2b2", "g2a2", "g2g1", "b7b6", "b7b5"], "solution_first_move": "h4g3", "solution_full": ["h4g3", "c5c8", "b8c8"], "themes": ["crushing", "endgame", "short"], "rating": 2758, "puzzle_id": "FCosW"} {"fen": "rnbqk1nr/pppp1ppp/8/4p3/1b2P3/3B4/PPPP1PPP/RNBQK1NR w KQkq -", "source": "stockfish_multipv", "best_move": "g1f3", "candidate_ratings": [{"uci": "g1f3", "rank": 1, "expectation": 0.534113586023358, "pv_line": "g1f3 b8c6 c2c3 b4e7 d3b5 g8f6 d2d3 d7d6", "cp": 41}, {"uci": "c2c3", "rank": 2, "expectation": 0.5299640517645717, "pv_line": "c2c3 b4e7 g1f3 d7d5 e4d5 g8f6 d3b5 c8d7", "cp": 36}, {"uci": "a2a3", "rank": 3, "expectation": 0.5049998333399998, "pv_line": "a2a3 b4a5 g1f3 b8c6 e1g1 a5b6 b1c3 g8e7", "cp": 6}, {"uci": "g1e2", "rank": 4, "expectation": 0.5008333325617292, "pv_line": "g1e2 d7d5 e4d5 d8d5 e1g1 c8e6 a2a3 b4e7", "cp": 1}, {"uci": "d1e2", "rank": 5, "expectation": 0.49166743818588077, "pv_line": "d1e2 g8f6 c2c3 b4c5 d3c2 e8g8 d2d3 d7d5", "cp": -10}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate g1f3: +41cp; Bucket: equal\n2. Candidate c2c3: +36cp; Bucket: equal\n3. Candidate a2a3: +6cp; Bucket: equal\n4. Candidate g1e2: +1cp; Bucket: equal\n5. Candidate d1e2: -10cp; Bucket: equal\n6. Best: c2c3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g1f3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate g1f3: +41cp; Bucket: equal\nCandidate c2c3: +36cp; Bucket: equal\nCandidate a2a3: +6cp; Bucket: equal\nCandidate g1e2: +1cp; Bucket: equal\nCandidate d1e2: -10cp; Bucket: equal\nBest: g1f3", "displayed_trace": "Candidate g1f3: +41cp; Bucket: equal\nCandidate c2c3: +36cp; Bucket: equal\nCandidate a2a3: +6cp; Bucket: equal\nCandidate g1e2: +1cp; Bucket: equal\nCandidate d1e2: -10cp; Bucket: equal\nBest: c2c3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be g1f3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be g1f3."}} {"fen": "r1b2rk1/pp3p1p/2n1pBp1/4P3/8/3B3Q/Pq3PPP/RN2K2R b KQ - 1 15", "side": "black", "legal_moves": ["f8e8", "f8d8", "c8d7", "a8b8", "c6d8", "c6b8", "c6e7", "c6e5", "c6a5", "c6d4", "c6b4", "b2b6", "b2e5", "b2b5", "b2d4", "b2b4", "b2c3", "b2b3", "b2a3", "b2f2", "b2e2", "b2d2", "b2c2", "b2a2", "b2c1", "b2b1", "b2a1", "h7h6", "b7b6", "a7a6", "g6g5", "h7h5", "b7b5", "a7a5"], "solution_first_move": "b2c1", "solution_full": ["b2c1", "e1e2", "c6d4"], "themes": ["mate", "mateIn2", "middlegame", "short"], "rating": 1965, "puzzle_id": "59ILb"} {"fen": "R7/P5k1/2r5/2P5/8/1K6/8/8 w - -", "source": "stockfish_multipv", "best_move": "a8g8", "candidate_ratings": [{"uci": "a8g8", "rank": 1, "expectation": 1.0, "pv_line": "a8g8 g7h7 g8h8 h7g6 a7a8q c6c7 a8e8 g6f6", "mate": 15}, {"uci": "a8f8", "rank": 2, "expectation": 0.9999940175037811, "pv_line": "a8f8 c6c5 a7a8q c5e5 a8f3 e5e3 f3e3 g7f8", "cp": 3608}, {"uci": "a8e8", "rank": 3, "expectation": 0.9999939169605846, "pv_line": "a8e8 c6c5 a7a8q c5f5 e8g8 g7h7 g8h8 h7g7", "cp": 3603}, {"uci": "a8h8", "rank": 4, "expectation": 0.9999937525650145, "pv_line": "a8h8 c6c5 a7a8q c5b5 b3c4 b5f5 a8g8 g7f6", "cp": 3595}, {"uci": "a8d8", "rank": 5, "expectation": 0.9999937525650145, "pv_line": "a8d8 c6c5 a7a8q c5e5 d8h8 e5b5 b3c4 b5f5", "cp": 3595}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate a8g8: M15; Bucket: forced mate\n2. Candidate a8f8: +3608cp; Bucket: decisive\n3. Candidate a8e8: +3603cp; Bucket: decisive\n4. Candidate a8h8: +3595cp; Bucket: decisive\n5. Candidate a8d8: +3595cp; Bucket: decisive\n6. Best: a8f8", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a8g8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate a8g8: M15; Bucket: forced mate\nCandidate a8f8: +3608cp; Bucket: decisive\nCandidate a8e8: +3603cp; Bucket: decisive\nCandidate a8h8: +3595cp; Bucket: decisive\nCandidate a8d8: +3595cp; Bucket: decisive\nBest: a8g8", "displayed_trace": "Candidate a8g8: M15; Bucket: forced mate\nCandidate a8f8: +3608cp; Bucket: decisive\nCandidate a8e8: +3603cp; Bucket: decisive\nCandidate a8h8: +3595cp; Bucket: decisive\nCandidate a8d8: +3595cp; Bucket: decisive\nBest: a8f8", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be a8g8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a8g8."}} {"fen": "rnbqkb1r/1p3ppp/p3pn2/2Pp4/5B2/2NBP3/PPP2PPP/R2QK1NR b KQkq -", "best_move": "f8c5", "pv_line": "f8c5 g1f3 b8d7 e3e4 e6e5 f4g5 d8b6 e1g1 d5e4 c3e4", "depth": 47, "knodes": 3986719, "cp": -10, "mate": null, "eval_perspective": "white"} {"fen": "1rb2rk1/p4pp1/2p4p/3p2q1/1P6/P1PB1QP1/6PP/4RRK1 w - - 2 22", "side": "white", "legal_moves": ["f3f7", "f3f6", "f3h5", "f3f5", "f3d5", "f3g4", "f3f4", "f3e4", "f3e3", "f3f2", "f3e2", "f3d1", "d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3b1", "g1f2", "g1h1", "f1f2", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1d1", "e1c1", "e1b1", "e1a1", "b4b5", "g3g4", "c3c4", "a3a4", "h2h3", "h2h4"], "solution_first_move": "f3f7", "solution_full": ["f3f7", "f8f7", "e1e8", "f7f8", "f1f8"], "themes": ["kingsideAttack", "long", "mate", "mateIn3", "middlegame", "pillsburysMate", "sacrifice"], "rating": 1745, "puzzle_id": "7Mtbu"} {"fen": "8/7p/4B3/6P1/8/1pk4r/5K2/8 w - - 0 55", "side": "white", "legal_moves": ["e6g8", "e6c8", "e6f7", "e6d7", "e6f5", "e6d5", "e6g4", "e6c4", "e6h3", "e6b3", "f2g2", "f2e2", "f2g1", "f2f1", "f2e1", "g5g6"], "solution_first_move": "e6h3", "solution_full": ["e6h3", "c3d4", "h3f5", "d4e5", "f5h7"], "themes": ["crushing", "endgame", "hangingPiece", "long"], "rating": 1560, "puzzle_id": "EZRoV"} {"fen": "8/4bp2/4pBp1/6P1/4kPKP/8/8/8 b - - 6 63", "side": "black", "legal_moves": ["e7f8", "e7d8", "e7f6", "e7d6", "e7c5", "e7b4", "e7a3", "e4d5", "e4e3", "e4d3", "e6e5"], "solution_first_move": "e7f6", "solution_full": ["e7f6", "g5f6", "e6e5", "f4e5", "e4e5"], "themes": ["bishopEndgame", "crushing", "endgame", "long"], "rating": 1166, "puzzle_id": "ESUBv"} {"fen": "4r1k1/1p1Qppbp/p3r1p1/8/1q6/1P5P/P5P1/3R2BK w - - 4 37", "side": "white", "legal_moves": ["d7e8", "d7d8", "d7c8", "d7e7", "d7c7", "d7b7", "d7e6", "d7d6", "d7c6", "d7d5", "d7b5", "d7d4", "d7a4", "d7d3", "d7d2", "h1h2", "g1a7", "g1b6", "g1c5", "g1d4", "g1e3", "g1h2", "g1f2", "d1d6", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "h3h4", "g2g3", "a2a3", "g2g4", "a2a4"], "solution_first_move": "d7e8", "solution_full": ["d7e8", "g7f8", "d1d8"], "themes": ["crushing", "defensiveMove", "hangingPiece", "master", "middlegame", "short"], "rating": 1335, "puzzle_id": "2lVOn"} {"fen": "5B2/2p3pk/p5rp/P4Q2/1P2Pn1q/2P4P/5PP1/R4RK1 b - - 2 26", "side": "black", "legal_moves": ["h7h8", "h7g8", "h4d8", "h4e7", "h4f6", "h4h5", "h4g5", "h4g4", "h4h3", "h4g3", "h4f2", "f4e6", "f4h5", "f4d5", "f4h3", "f4d3", "f4g2", "f4e2", "c7c6", "h6h5", "c7c5"], "solution_first_move": "f4h3", "solution_full": ["f4h3", "f5h3", "h4h3"], "themes": ["crushing", "kingsideAttack", "middlegame", "pin", "short"], "rating": 1560, "puzzle_id": "IVqVF"} {"fen": "2k1r3/1p3ppp/p7/1P1P4/8/4q3/1QP3PP/1R5K b - - 1 27", "side": "black", "legal_moves": ["e8h8", "e8g8", "e8f8", "e8d8", "e8e7", "e8e6", "e8e5", "e8e4", "c8d8", "c8b8", "c8d7", "c8c7", "e3e7", "e3a7", "e3h6", "e3e6", "e3b6", "e3g5", "e3e5", "e3c5", "e3f4", "e3e4", "e3d4", "e3h3", "e3g3", "e3f3", "e3d3", "e3c3", "e3b3", "e3a3", "e3f2", "e3e2", "e3d2", "e3g1", "e3e1", "e3c1", "a6b5", "h7h6", "g7g6", "f7f6", "b7b6", "a6a5", "h7h5", "g7g5", "f7f5"], "solution_first_move": "e3e1", "solution_full": ["e3e1", "b1e1", "e8e1"], "themes": ["backRankMate", "endgame", "mate", "mateIn2", "sacrifice", "short"], "rating": 560, "puzzle_id": "7kQXJ"} {"fen": "2krr3/ppp2ppp/6b1/3n4/1P4Pb/N1P2P2/P4K1P/B4BNR w - -", "best_move": "f2g2", "pv_line": "f2g2 d5f4", "depth": 99, "knodes": 15, "cp": null, "mate": -1, "eval_perspective": "white"} {"fen": "6k1/pp2rppp/2pN4/2P1n3/P7/8/1P3PPP/4R1K1 b - - 3 24", "side": "black", "legal_moves": ["g8h8", "g8f8", "e7e8", "e7d7", "e7c7", "e7e6", "e5d7", "e5g6", "e5g4", "e5c4", "e5f3", "e5d3", "h7h6", "g7g6", "f7f6", "b7b6", "a7a6", "h7h5", "g7g5", "f7f5", "b7b5", "a7a5"], "solution_first_move": "e5f3", "solution_full": ["e5f3", "g2f3", "e7e1"], "themes": ["crushing", "discoveredAttack", "endgame", "short"], "rating": 1022, "puzzle_id": "GtXZx"} {"fen": "1Q6/8/7p/p6P/P7/8/3K2k1/5q2 b - -", "source": "stockfish_multipv", "best_move": "f1f2", "candidate_ratings": [{"uci": "f1f2", "rank": 1, "expectation": 0.5016666604938546, "pv_line": "f1f2 d2d1 f2d4 d1c1 g2h3 b8e8 d4b4 e8e6", "cp": 2}, {"uci": "f1f3", "rank": 2, "expectation": 0.5, "pv_line": "f1f3 b8b5 f3f4 d2d3 f4f3 d3d2", "cp": 0}, {"uci": "g2h3", "rank": 3, "expectation": 0.5, "pv_line": "g2h3 b8c8 h3g3 c8c3 g3h4 c3a5 f1f2 d2d1", "cp": 0}, {"uci": "f1f5", "rank": 4, "expectation": 0.5, "pv_line": "f1f5 b8b5 f5f2 d2c3 f2e3 c3c2 e3f2", "cp": 0}, {"uci": "f1c4", "rank": 5, "expectation": 0.4983333395061454, "pv_line": "f1c4 b8a8 g2h2 a8a5 c4d4 d2c1 d4c4 c1b2", "cp": -2}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "r7/kq6/8/pP1Q4/8/2P1p3/1P6/3B2K1 w - - 11 49", "side": "white", "legal_moves": ["d5g8", "d5d8", "d5f7", "d5d7", "d5b7", "d5e6", "d5d6", "d5c6", "d5h5", "d5g5", "d5f5", "d5e5", "d5c5", "d5e4", "d5d4", "d5c4", "d5f3", "d5d3", "d5b3", "d5g2", "d5d2", "d5a2", "d5h1", "g1h2", "g1g2", "g1h1", "g1f1", "d1h5", "d1g4", "d1a4", "d1f3", "d1b3", "d1e2", "d1c2", "b5b6", "c3c4", "b2b3", "b2b4"], "solution_first_move": "d5b7", "solution_full": ["d5b7", "a7b7", "d1f3", "b7b6", "f3a8"], "themes": ["attraction", "crushing", "endgame", "exposedKing", "long", "skewer"], "rating": 1915, "puzzle_id": "8agoK"} {"fen": "8/5Nk1/8/5K2/8/8/8/7Q w - -", "best_move": "f5e6", "pv_line": "f5e6 g7g8 h1h8", "depth": 99, "knodes": 22, "cp": null, "mate": 2, "eval_perspective": "white"} {"fen": "r4rk1/ppp2pp1/3p1q1p/4p3/2BPP3/P4P1n/1P1P1P1P/R1B1QR1K b - - 0 17", "side": "black", "legal_moves": ["g8h8", "g8h7", "f8e8", "f8d8", "f8c8", "f8b8", "a8e8", "a8d8", "a8c8", "a8b8", "f6d8", "f6e7", "f6g6", "f6e6", "f6g5", "f6f5", "f6h4", "f6f4", "f6f3", "h3g5", "h3f4", "h3f2", "h3g1", "e5d4", "g7g6", "c7c6", "b7b6", "a7a6", "h6h5", "d6d5", "g7g5", "c7c5", "b7b5", "a7a5"], "solution_first_move": "f6f3", "solution_full": ["f6f3"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 962, "puzzle_id": "9tQGy"} {"fen": "8/p7/7p/3p1p2/1p1NkP2/1Pq1P2P/P2RK3/8 w - - 1 44", "side": "white", "legal_moves": ["d4e6", "d4c6", "d4f5", "d4b5", "d4f3", "d4c2", "e2f2", "e2f1", "e2e1", "e2d1", "d2d3", "d2c2", "d2b2", "d2d1", "h3h4", "a2a3", "a2a4"], "solution_first_move": "d4c2", "solution_full": ["d4c2", "c3d2", "e2d2"], "themes": ["crushing", "endgame", "short"], "rating": 2298, "puzzle_id": "Hnizk"} {"fen": "8/3RR3/1P3p2/6k1/7p/PPP5/5PPP/6K1 w - -", "source": "stockfish_multipv", "best_move": "b6b7", "candidate_ratings": [{"uci": "b6b7", "rank": 1, "expectation": 1.0, "pv_line": "b6b7 f6f5 e7g7 g5f6 b7b8q f5f4 b8f4 f6e6", "mate": 5}, {"uci": "e7g7", "rank": 2, "expectation": 1.0, "pv_line": "e7g7 g5f5 b6b7 h4h3 b7b8r h3g2 b8b5 f5f4", "mate": 6}, {"uci": "c3c4", "rank": 3, "expectation": 1.0, "pv_line": "c3c4 g5g4 b6b7 g4f4 b7b8q f4f5 d7d5 f5g6", "mate": 6}, {"uci": "a3a4", "rank": 4, "expectation": 1.0, "pv_line": "a3a4 h4h3 b6b7 h3g2 b7b8q g5f5 g1g2 f5g6", "mate": 6}, {"uci": "d7d6", "rank": 5, "expectation": 1.0, "pv_line": "d7d6 h4h3 g2h3 g5h5 d6f6 h5h4 b6b7 h4g5", "mate": 8}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b6b7: M5; Bucket: forced mate\n2. Candidate e7g7: M6; Bucket: forced mate\n3. Candidate c3c4: M6; Bucket: forced mate\n4. Candidate a3a4: M6; Bucket: forced mate\n5. Candidate d7d6: M8; Bucket: forced mate\n6. Best: e7g7", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b6b7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b6b7: M5; Bucket: forced mate\nCandidate e7g7: M6; Bucket: forced mate\nCandidate c3c4: M6; Bucket: forced mate\nCandidate a3a4: M6; Bucket: forced mate\nCandidate d7d6: M8; Bucket: forced mate\nBest: b6b7", "displayed_trace": "Candidate b6b7: M5; Bucket: forced mate\nCandidate e7g7: M6; Bucket: forced mate\nCandidate c3c4: M6; Bucket: forced mate\nCandidate a3a4: M6; Bucket: forced mate\nCandidate d7d6: M8; Bucket: forced mate\nBest: e7g7", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b6b7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b6b7."}} {"fen": "1r4k1/p1p3p1/2b4p/P4p2/2N1P2P/2P3P1/P1R2P2/6K1 b - - 0 27", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "g8f7", "b8f8", "b8e8", "b8d8", "b8c8", "b8a8", "b8b7", "b8b6", "b8b5", "b8b4", "b8b3", "b8b2", "b8b1", "c6e8", "c6a8", "c6d7", "c6b7", "c6d5", "c6b5", "c6e4", "c6a4", "f5e4", "g7g6", "a7a6", "h6h5", "f5f4", "g7g5"], "solution_first_move": "b8b1", "solution_full": ["b8b1", "g1g2", "c6e4", "f2f3", "e4c2"], "themes": ["crushing", "endgame", "fork", "intermezzo", "long"], "rating": 1690, "puzzle_id": "K2eQA"} {"fen": "2rq2k1/p2n1r1p/1p1Pp1pR/8/2pQ4/2P2B2/P4PP1/2K4R w - - 0 22", "side": "white", "legal_moves": ["h6h7", "h6g6", "h6h5", "h6h4", "h6h3", "h6h2", "d4h8", "d4g7", "d4f6", "d4b6", "d4e5", "d4d5", "d4c5", "d4h4", "d4g4", "d4f4", "d4e4", "d4c4", "d4e3", "d4d3", "d4d2", "d4d1", "f3a8", "f3b7", "f3c6", "f3h5", "f3d5", "f3g4", "f3e4", "f3e2", "f3d1", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "c1d2", "c1c2", "c1b2", "c1d1", "c1b1", "g2g3", "a2a3", "g2g4", "a2a4"], "solution_first_move": "h6g6", "solution_full": ["h6g6", "h7g6", "h1h8"], "themes": ["clearance", "kingsideAttack", "mate", "mateIn2", "middlegame", "sacrifice", "short"], "rating": 1602, "puzzle_id": "IlLK2"} {"fen": "8/7p/1P4k1/p5p1/2R2p2/5P1P/r5PK/8 w - - 0 41", "side": "white", "legal_moves": ["c4c8", "c4c7", "c4c6", "c4c5", "c4f4", "c4e4", "c4d4", "c4b4", "c4a4", "c4c3", "c4c2", "c4c1", "h2h1", "h2g1", "b6b7", "h3h4"], "solution_first_move": "c4b4", "solution_full": ["c4b4", "a5b4", "b6b7", "a2a7", "b7b8q"], "themes": ["advancedPawn", "crushing", "endgame", "long", "promotion", "rookEndgame", "sacrifice"], "rating": 2201, "puzzle_id": "52sfi"} {"fen": "1r4k1/4p2p/p2p1Bp1/3P4/6P1/1q3P2/p2Q3R/K2R1B2 b - - 0 27", "side": "black", "legal_moves": ["g8f8", "g8f7", "b8f8", "b8e8", "b8d8", "b8c8", "b8a8", "b8b7", "b8b6", "b8b5", "b8b4", "b3b7", "b3b6", "b3d5", "b3b5", "b3c4", "b3b4", "b3a4", "b3f3", "b3e3", "b3d3", "b3c3", "b3a3", "b3c2", "b3b2", "b3d1", "b3b1", "e7f6", "h7h6", "e7e6", "g6g5", "a6a5", "h7h5", "e7e5"], "solution_first_move": "b3b1", "solution_full": ["b3b1", "d1b1", "a2b1q"], "themes": ["advancedPawn", "mate", "mateIn2", "middlegame", "promotion", "short"], "rating": 1520, "puzzle_id": "8O9uR"} {"fen": "R7/1Q3ppk/2q1p1p1/3p4/3P2n1/4P1P1/2r2P1P/5BK1 w - 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0 13", "side": "white", "legal_moves": ["e3g5", "e3c5", "e3f4", "e3d4", "e3h3", "e3g3", "e3f3", "e3d3", "e3c3", "e3b3", "e3a3", "e3f2", "e3e2", "e3d2", "e3g1", "h1g1", "h1f1", "e1f2", "e1e2", "e1d2", "e1f1", "e1d1", "c1d2", "b1c3", "b1a3", "b1d2", "e1g1", "e4e5", "h2h3", "g2g3", "c2c3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "e3g5", "solution_full": ["e3g5", "d8g5", "c1g5"], "themes": ["equality", "middlegame", "short"], "rating": 819, "puzzle_id": "BU83o"} {"fen": "2R5/6rk/p3p2p/1p1pPp2/3P4/PP3NPq/5P2/Q4nK1 w - - 0 32", "side": "white", "legal_moves": ["c8h8", "c8g8", "c8f8", "c8e8", "c8d8", "c8b8", "c8a8", "c8c7", "c8c6", "c8c5", "c8c4", "c8c3", "c8c2", "c8c1", "f3g5", "f3h4", "f3h2", "f3d2", "f3e1", "a1c3", "a1b2", "a1a2", "a1f1", "a1e1", "a1d1", "a1c1", "a1b1", "g3g4", "b3b4", "a3a4"], "solution_first_move": "a1f1", "solution_full": ["a1f1", "h3f1", "g1f1"], "themes": ["crushing", "endgame", "short"], "rating": 1317, "puzzle_id": "3N5nH"} {"fen": "rr4k1/3b1ppp/2q5/1p1N4/1Q2P3/P4P2/2B3PP/4RK2 w - 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-", "source": "stockfish_multipv", "best_move": "b2b4", "candidate_ratings": [{"uci": "b2b4", "rank": 1, "expectation": 1.0, "pv_line": "b2b4 c6c7 b4b5 c7c8 e6d6 c8d8 b5d7", "mate": 4}, {"uci": "b2c3", "rank": 2, "expectation": 1.0, "pv_line": "b2c3 c6b5 e6d6 b5a4 d6d5 a4b5 c3b3 b5a5", "mate": 6}, {"uci": "b2c2", "rank": 3, "expectation": 1.0, "pv_line": "b2c2 c6b5 c2c3 b5b6 e6d6 b6b7 c3b3 b7a8", "mate": 6}, {"uci": "b2e5", "rank": 4, "expectation": 1.0, "pv_line": "b2e5 c6b7 e6d6 b7b6 e5c3 b6b7 c3b3 b7a8", "mate": 6}, {"uci": "b2c1", "rank": 5, "expectation": 1.0, "pv_line": "b2c1 c6b6 e6d6 b6a5 c1c3 a5a4 d6d5 a4b5", "mate": 7}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b2b4: M4; Bucket: forced mate\n2. Candidate b2c3: M6; Bucket: forced mate\n3. Candidate b2c2: M6; Bucket: forced mate\n4. Candidate b2e5: M6; Bucket: forced mate\n5. Candidate b2c1: M7; Bucket: forced mate\n6. Best: b2c3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b2b4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b2b4: M4; Bucket: forced mate\nCandidate b2c3: M6; Bucket: forced mate\nCandidate b2c2: M6; Bucket: forced mate\nCandidate b2e5: M6; Bucket: forced mate\nCandidate b2c1: M7; Bucket: forced mate\nBest: b2b4", "displayed_trace": "Candidate b2b4: M4; Bucket: forced mate\nCandidate b2c3: M6; Bucket: forced mate\nCandidate b2c2: M6; Bucket: forced mate\nCandidate b2e5: M6; Bucket: forced mate\nCandidate b2c1: M7; Bucket: forced mate\nBest: b2c3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b2b4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b2b4."}} {"fen": "8/1R1n4/4k1p1/P4p1p/1BpP4/2P1n3/4rRP1/6K1 b - 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Candidate c1b2: -125cp; Bucket: slight edge\n2. Candidate c1c4: -224cp; Bucket: clear advantage\n3. Candidate c1b1: -263cp; Bucket: clear advantage\n4. Candidate c1e1: -300cp; Bucket: winning\n5. Candidate c1c2: -387cp; Bucket: winning\n6. Best: c1c4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c1b2.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c1b2: -125cp; Bucket: slight edge\nCandidate c1c4: -224cp; Bucket: clear advantage\nCandidate c1b1: -263cp; Bucket: clear advantage\nCandidate c1e1: -300cp; Bucket: winning\nCandidate c1c2: -387cp; Bucket: winning\nBest: c1b2", "displayed_trace": "Candidate c1b2: -125cp; Bucket: slight edge\nCandidate c1c4: -224cp; Bucket: clear advantage\nCandidate c1b1: -263cp; Bucket: clear advantage\nCandidate c1e1: -300cp; Bucket: winning\nCandidate c1c2: -387cp; Bucket: winning\nBest: c1c4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c1b2.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c1b2."}} {"fen": "3rr1k1/1p1q1ppp/p3pn2/2P5/1P1b4/2BN3P/P2Q1PP1/2RR2K1 b - 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0 10", "side": "white", "legal_moves": ["h5h7", "h5h6", "h5g6", "h5g5", "h5f5", "h5e5", "h5d5", "h5h4", "h5g4", "h5h3", "h5f3", "h5e2", "h5d1", "h1g1", "h1f1", "e1e2", "e1f1", "e1d1", "c1a3", "c1b2", "b1a3", "e1g1", "c3c4", "b3b4", "h2h3", "g2g3", "f2f3", "d2d3", "a2a3", "h2h4", "g2g4", "f2f4", "d2d4", "a2a4"], "solution_first_move": "h5e5", "solution_full": ["h5e5", "f8e7", "e5h8"], "themes": ["crushing", "fork", "middlegame", "pin", "short"], "rating": 992, "puzzle_id": "2trrf"} {"fen": "1r2r3/1p5p/p2p2k1/5R2/5R1P/1P2p3/7K/8 w - - 6 45", "side": "white", "legal_moves": ["f5f8", "f5f7", "f5f6", "f5h5", "f5g5", "f5e5", "f5d5", "f5c5", "f5b5", "f5a5", "f4g4", "f4e4", "f4d4", "f4c4", "f4b4", "f4a4", "f4f3", "f4f2", "f4f1", "h2h3", "h2g3", "h2g2", "h2h1", "h2g1", "h4h5", "b3b4"], "solution_first_move": "f5g5", "solution_full": ["f5g5", "g6h6", "f4f6"], "themes": ["endgame", "mate", "mateIn2", "rookEndgame", "short"], "rating": 1230, "puzzle_id": "C4taF"} {"fen": "8/8/p2b2p1/1ppP1pkp/B1K2p2/P1P4P/1P3PP1/8 w - 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Candidate c3d5: +118cp; Bucket: slight edge\n2. Candidate c3e4: +114cp; Bucket: slight edge\n3. Candidate c1d2: +34cp; Bucket: equal\n4. Candidate f1e1: +18cp; Bucket: equal\n5. Candidate f3d4: +0cp; Bucket: equal\n6. Best: c3e4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c3d5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c3d5: +118cp; Bucket: slight edge\nCandidate c3e4: +114cp; Bucket: slight edge\nCandidate c1d2: +34cp; Bucket: equal\nCandidate f1e1: +18cp; Bucket: equal\nCandidate f3d4: +0cp; Bucket: equal\nBest: c3d5", "displayed_trace": "Candidate c3d5: +118cp; Bucket: slight edge\nCandidate c3e4: +114cp; Bucket: slight edge\nCandidate c1d2: +34cp; Bucket: equal\nCandidate f1e1: +18cp; Bucket: equal\nCandidate f3d4: +0cp; Bucket: equal\nBest: c3e4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c3d5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c3d5."}} {"fen": "r5rk/2q1b1p1/2p1p1Q1/1pnnp2P/p4P2/1PN5/PBPP4/2K3RR w - 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- 4 15", "side": "white", "legal_moves": ["b5c7", "b5a7", "b5d6", "b5d4", "b5c3", "b5a3", "h4f6", "h4g5", "h4g3", "f3c6", "f3h5", "f3d5", "f3g4", "f3e4", "f3e2", "h1g1", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1g1", "e1f1", "d1d6", "d1d5", "d1d4", "d1a4", "d1d3", "d1b3", "d1e2", "d1d2", "d1c2", "d1c1", "d1b1", "a1c1", "a1b1", "c4c5", "h2h3", "g2g3", "b2b3", "a2a3", "g2g4", "b2b4", "a2a4"], "solution_first_move": "d1d5", "solution_full": ["d1d5", "g8h8", "d5f5"], "themes": ["crushing", "fork", "middlegame", "short"], "rating": 1545, "puzzle_id": "4FOVy"} {"fen": "8/5p1k/6p1/1pb1P3/2p4Q/2P4P/1P3r2/1N3R1K b - -", "best_move": "h7g8", "pv_line": "h7g8 f1f2 c5f2 h4f2 b5b4 c3b4 g6g5 f2f6 g5g4 h3g4", "depth": 65, "knodes": 34720, "cp": null, "mate": 10, "eval_perspective": "white"} {"fen": "r1b1kb1r/pp3ppp/1qn1p2n/2ppP3/3P4/N1P2N2/PP3PPP/R1BQKB1R w KQkq -", "best_move": "a3c2", "pv_line": "a3c2 h6f5 g2g4 f5e7 d4c5 b6c5 f1d3 h7h5 g4h5 h8h5", "depth": 34, "knodes": 110628, "cp": 36, "mate": null, "eval_perspective": "white"} {"fen": "8/1r6/R6P/6P1/4p3/8/kp2KP2/8 b - 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-", "best_move": "b4c4", "pv_line": "b4c4 f5a5 c4d3 a5c5 d3d2 g3f2 d2d3 c5b4 d3c2 f2e3", "depth": 59, "knodes": 3458, "cp": null, "mate": 7, "eval_perspective": "white"} {"fen": "1k3b2/ppp2Q2/r5n1/8/7p/2P1BK2/6PP/8 b - - 5 32", "side": "black", "legal_moves": ["f8g7", "f8e7", "f8h6", "f8d6", "f8c5", "f8b4", "f8a3", "b8c8", "b8a8", "g6h8", "g6e7", "g6e5", "g6f4", "a6f6", "a6e6", "a6d6", "a6c6", "a6b6", "a6a5", "a6a4", "a6a3", "a6a2", "a6a1", "c7c6", "b7b6", "h4h3", "c7c5", "b7b5"], "solution_first_move": "g6e5", "solution_full": ["g6e5", "f3f4", "e5f7"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 961, "puzzle_id": "DNdSB"} {"fen": "rnbqkb1r/1p3ppp/p4n2/2pp4/3P1B2/2N2N2/PP2PPPP/R2QKB1R w KQkq -", "best_move": "g2g3", "pv_line": "g2g3 b8c6 f1g2 f8e7 d4c5 e7c5 e1g1 e8g8 a1c1 f8e8", "depth": 38, "knodes": 2939992, "cp": 42, "mate": null, "eval_perspective": "white"} {"fen": "6k1/6n1/8/7p/6pP/5qP1/6R1/6QK b - -", "best_move": "g7f5", "pv_line": "g7f5 g1f2 f3e4 h1g1 f5d4 f2a2 g8h8 a2a1 e4e5 a1a8", "depth": 40, "knodes": 279029, "cp": 26, "mate": null, "eval_perspective": "white"} {"fen": "r1bqk2r/pppp1ppp/2nn4/2b1p3/2B5/2P2N2/PP1PQPPP/RNB2RK1 w kq -", "source": "stockfish_multipv", "best_move": "f3e5", "candidate_ratings": [{"uci": "f3e5", "rank": 1, "expectation": 0.5174928576663897, "pv_line": "f3e5 e8g8 c4b3 f8e8 d2d4 c5d4 c3d4 c6d4", "cp": 21}, {"uci": "c4b3", "rank": 2, "expectation": 0.5174928576663897, "pv_line": "c4b3 e8g8 f3e5 f8e8 d2d4 c5d4 c3d4 c6d4", "cp": 21}, {"uci": "c4d5", "rank": 3, "expectation": 0.5124973964842103, "pv_line": "c4d5 e8g8 f3e5 f8e8 d2d4 c6e5 d4e5 d8e7", "cp": 15}, {"uci": "d2d4", "rank": 4, "expectation": 0.5016666604938546, "pv_line": "d2d4 d6c4 d4c5 d7d5 b2b3 c4a5 f3e5 e8g8", "cp": 2}, {"uci": "f1e1", "rank": 5, "expectation": 0.4609132475336044, "pv_line": "f1e1 d6c4 e2c4 c5e7 f3e5 c6e5 e1e5 e8g8", "cp": -47}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "1k6/7p/5Kp1/8/8/7P/6P1/8 b - 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-", "best_move": "f5f6", "pv_line": "f5f6 h6h7 f3e5 h7h8 d5e4 h8g8 e5f7 g8f8 e4h7 f8e8", "depth": 85, "knodes": 43212, "cp": null, "mate": 22, "eval_perspective": "white"} {"fen": "1r4k1/5r1p/1q2bp2/2bpp3/1P6/5N2/2BR1PPP/1R1Q2K1 b - -", "source": "stockfish_multipv", "best_move": "c5b4", "candidate_ratings": [{"uci": "c5b4", "rank": 1, "expectation": 0.5, "pv_line": "c5b4 d2d5 e6d5 d1d5 g8g7 d5e4 g7h8 g2g3", "cp": 0}, {"uci": "f7b7", "rank": 2, "expectation": 0.5, "pv_line": "f7b7 f3h4 c5f8 g2g3 b6c6 b1c1 c6d7 c2a4", "cp": 0}, {"uci": "c5f8", "rank": 3, "expectation": 0.4991666674382707, "pv_line": "c5f8 d2d5 e6d5 d1d5 b6b7 c2b3 b7d5 b3d5", "cp": -1}, {"uci": "c5e7", "rank": 4, "expectation": 0.473358588549516, "pv_line": "c5e7 d2d5 g8h8 d5a5 e7b4 a5a4 b6c5 f3e1", "cp": -32}, {"uci": "c5d6", "rank": 5, "expectation": 0.42800386706848137, "pv_line": "c5d6 c2b3 b6b4 d2d5 d6c7 d5d3 e5e4 d3e3", "cp": -87}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "r1bqk2r/pp1nppbp/3p2p1/1B1pP3/3P4/4BN1P/PPP2PP1/R2QK2R b KQkq - 1 9", "side": "black", "legal_moves": ["h8g8", "h8f8", "e8f8", "d8c7", "d8b6", "d8a5", "a8b8", "g7f8", "g7h6", "g7f6", "g7e5", "e8g8", "d6e5", "h7h6", "f7f6", "e7e6", "b7b6", "a7a6", "g6g5", "h7h5", "f7f5", "a7a5"], "solution_first_move": "d8a5", "solution_full": ["d8a5", "d1d2", "a5b5"], "themes": ["crushing", "fork", "opening", "short"], "rating": 955, "puzzle_id": "1HMV5"} {"fen": "B7/P4R2/1p1b4/6kp/1P3p2/2P4P/5PPK/4q3 w - - 2 44", "side": "white", "legal_moves": ["a8b7", "a8c6", "a8d5", "a8e4", "a8f3", "f7f8", "f7h7", "f7g7", "f7e7", "f7d7", "f7c7", "f7b7", "f7f6", "f7f5", "f7f4", "b4b5", "h3h4", "c3c4", "g2g3", "f2f3", "g2g4"], "solution_first_move": "a8f3", "solution_full": ["a8f3", "e1f2", "f7g7", "g5f6", "g7g8"], "themes": ["crushing", "defensiveMove", "endgame", "long"], "rating": 2304, "puzzle_id": "8ceg4"} {"fen": "r2q1r2/pp3pbk/4bNpp/4n3/8/1B1PB2P/PPPQ1RP1/R5K1 b - - 2 17", "side": "black", "legal_moves": ["h7h8", "d8f6", "g7f6"], "solution_first_move": "g7f6", "solution_full": ["g7f6", "b3e6", "f7e6"], "themes": ["advantage", "master", "middlegame", "short"], "rating": 1114, "puzzle_id": "Jv5sV"} {"fen": "8/8/1p2k2p/2p3p1/P1P3P1/4K2P/8/8 b - - 2 42", "side": "black", "legal_moves": ["e6f7", "e6e7", "e6d7", "e6f6", "e6d6", "e6e5", "h6h5", "b6b5"], "solution_first_move": "e6e5", "solution_full": ["e6e5", "e3f3", "e5d4"], "themes": ["crushing", "endgame", "pawnEndgame", "short", "zugzwang"], "rating": 1003, "puzzle_id": "7bYdz"} {"fen": "1rb5/1p2kppp/p3p3/8/3PP3/R5P1/P2K1PBP/8 b - -", "source": "stockfish_multipv", "best_move": "b7b6", "candidate_ratings": [{"uci": "b7b6", "rank": 1, "expectation": 0.48333950343058857, "pv_line": "b7b6 e4e5 a6a5 g3g4 c8d7 g2e4 b8c8 e4d3", "cp": -20}, {"uci": "h7h6", "rank": 2, "expectation": 0.4766835901961499, "pv_line": "h7h6 f2f4 b7b5 e4e5 b5b4 a3a5 b4b3 a2b3", "cp": -28}, {"uci": "b7b5", "rank": 3, "expectation": 0.474189629030992, "pv_line": "b7b5 e4e5 b5b4 a3a5 b4b3 g2e4 f7f5 e4b1", "cp": -31}, {"uci": "c8d7", "rank": 4, "expectation": 0.46422788888592115, "pv_line": "c8d7 e4e5 d7b5 a3c3 e7d7 f2f4 b5c6 g2c6", "cp": -43}, {"uci": "e7d8", "rank": 5, "expectation": 0.46174159544398685, "pv_line": "e7d8 e4e5 h7h6 g3g4 b7b6 g2e4 a6a5 f2f4", "cp": -46}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b7b6: -20cp; Bucket: equal\n2. Candidate h7h6: -28cp; Bucket: equal\n3. Candidate b7b5: -31cp; Bucket: equal\n4. Candidate c8d7: -43cp; Bucket: equal\n5. Candidate e7d8: -46cp; Bucket: equal\n6. Best: h7h6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b7b6.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b7b6: -20cp; Bucket: equal\nCandidate h7h6: -28cp; Bucket: equal\nCandidate b7b5: -31cp; Bucket: equal\nCandidate c8d7: -43cp; Bucket: equal\nCandidate e7d8: -46cp; Bucket: equal\nBest: b7b6", "displayed_trace": "Candidate b7b6: -20cp; Bucket: equal\nCandidate h7h6: -28cp; Bucket: equal\nCandidate b7b5: -31cp; Bucket: equal\nCandidate c8d7: -43cp; Bucket: equal\nCandidate e7d8: -46cp; Bucket: equal\nBest: h7h6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b7b6.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b7b6."}} {"fen": "rn1q1rk1/pp3pb1/2ppb3/3Np1PQ/2B1P3/P2P4/1PP2PP1/R3K1N1 w Q - 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Candidate e4e5: +78cp; Bucket: slight edge\n2. Candidate d4d3: +1cp; Bucket: equal\n3. Candidate c2c4: -7cp; Bucket: equal\n4. Candidate d4d1: -21cp; Bucket: equal\n5. Candidate d4e3: -24cp; Bucket: equal\n6. Best: d4d3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e4e5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e4e5: +78cp; Bucket: slight edge\nCandidate d4d3: +1cp; Bucket: equal\nCandidate c2c4: -7cp; Bucket: equal\nCandidate d4d1: -21cp; Bucket: equal\nCandidate d4e3: -24cp; Bucket: equal\nBest: e4e5", "displayed_trace": "Candidate e4e5: +78cp; Bucket: slight edge\nCandidate d4d3: +1cp; Bucket: equal\nCandidate c2c4: -7cp; Bucket: equal\nCandidate d4d1: -21cp; Bucket: equal\nCandidate d4e3: -24cp; Bucket: equal\nBest: d4d3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e4e5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e4e5."}} {"fen": "3r3k/pp2q2p/2pnP1p1/5n2/4N3/1B5Q/PP4PP/4R1K1 b - - 2 24", "side": "black", "legal_moves": ["h8g8", "h8g7", "d8g8", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "e7f8", "e7e8", "e7g7", "e7f7", "e7d7", "e7c7", "e7f6", "e7e6", "e7g5", "e7h4", "d6e8", "d6c8", "d6f7", "d6b5", "d6e4", "d6c4", "f5g7", "f5h6", "f5h4", "f5d4", "f5g3", "f5e3", "h7h6", "b7b6", "a7a6", "g6g5", "c6c5", "h7h5", "b7b5", "a7a5"], "solution_first_move": "d6e4", "solution_full": ["d6e4", "e1e4", "e7c5", "g1f1", "d8f8"], "themes": ["clearance", "crushing", "defensiveMove", "long", "middlegame"], "rating": 2600, "puzzle_id": "AI8ry"} {"fen": "8/8/4k1K1/6PP/8/8/4b3/8 w - - 1 67", "side": "white", "legal_moves": ["g6h7", "g6g7", "g6h6", "h5h6"], "solution_first_move": "h5h6", "solution_full": ["h5h6", "e2d3", "g6g7"], "themes": ["bishopEndgame", "crushing", "endgame", "master", "short"], "rating": 784, "puzzle_id": "6r4hG"} {"fen": "8/p6k/4P1pp/3n1N2/8/7P/nB4P1/6K1 w - - 0 38", "side": "white", "legal_moves": ["f5g7", "f5e7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "b2h8", "b2g7", "b2f6", "b2e5", "b2d4", "b2c3", "b2a3", "b2c1", "b2a1", "g1h2", "g1f2", "g1h1", "g1f1", "e6e7", "h3h4", "g2g3", "g2g4"], "solution_first_move": "e6e7", "solution_full": ["e6e7", "d5e7", "f5e7"], "themes": ["advancedPawn", "crushing", "endgame", "master", "short"], "rating": 1065, "puzzle_id": "IUJqz"} {"fen": "r1bqk2r/ppp1bppp/2p2n2/4N3/8/8/PPPP1PPP/RNBQR1K1 w kq -", "best_move": "d1e2", "pv_line": "d1e2 c8e6 d2d3 f6d5 b1c3 d5c3 b2c3 d8c8 c1f4 e8g8", "depth": 36, "knodes": 95844, "cp": 14, "mate": null, "eval_perspective": "white"} {"fen": "1R4k1/p2Qrpp1/q4b1p/3p4/2NP4/2n2N1P/P4PPK/8 b - - 4 30", "side": "black", "legal_moves": ["g8h7", "e7e8", "a6c8"], "solution_first_move": "g8h7", "solution_full": ["g8h7", "d7c8", "a6c8", "b8c8", "d5c4"], "themes": ["advantage", "defensiveMove", "long", "middlegame"], "rating": 2017, "puzzle_id": "2MRqU"} {"fen": "1k1r3r/ppp2Rp1/2n1p2b/2NpP2P/6B1/P3q3/1PPK4/R5Q1 w - - 0 23", "side": "white", "legal_moves": ["d2d1", "g1e3"], "solution_first_move": "g1e3", "solution_full": ["g1e3", "h6e3", "d2e3"], "themes": ["advantage", "middlegame", "short"], "rating": 679, "puzzle_id": "7dUCh"} {"fen": "3r2k1/1p3pp1/1p4p1/3p4/1P1P3b/PQ5P/5PP1/5K2 w - -", "best_move": "g2g3", "pv_line": "g2g3 h4g5 b3c2 d8a8 c2d3 g5f6 d3b3 a8d8 b3c3 d8a8", "depth": 30, "knodes": 15184, "cp": 319, "mate": null, "eval_perspective": "white"} {"fen": "k3r2r/p1pB1n2/1b1p1q1p/2pPp1pQ/4P3/5N2/PP3PPP/2R2RK1 b - -", "best_move": "e8g8", "pv_line": "e8g8 g2g3 f6g6 h5g6 g8g6 h2h4 g5h4 f3h4 g6g7 h4f5", "depth": 33, "knodes": 87802, "cp": 158, "mate": null, "eval_perspective": "white"} {"fen": "r1b1k2r/pp1p1ppp/1q2pn2/8/1n6/B2B2Q1/PPP2PPP/2KR3R w kq - 6 14", "side": "white", "legal_moves": ["g3b8", "g3g7", "g3c7", "g3g6", "g3d6", "g3g5", "g3e5", "g3h4", "g3g4", "g3f4", "g3h3", "g3f3", "g3e3", "d3h7", "d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3f1", "a3b4", "h1g1", "h1f1", "h1e1", "d1d2", "d1g1", "d1f1", "d1e1", "c1d2", "c1b1", "h2h3", "f2f3", "c2c3", "b2b3", "h2h4", "f2f4", "c2c4"], "solution_first_move": "g3g7", "solution_full": ["g3g7", "h8g8", "g7f6"], "themes": ["advantage", "fork", "middlegame", "short"], "rating": 1388, "puzzle_id": "5zABG"} {"fen": "2r2bk1/ppq5/6P1/7Q/8/8/PPP3P1/1KB4R b - - 0 34", "side": "black", "legal_moves": ["g8g7", "f8g7", "f8e7", "f8h6", "f8d6", "f8c5", "f8b4", "f8a3", "c8e8", "c8d8", "c8b8", "c8a8", "c7d8", "c7b8", "c7h7", "c7g7", "c7f7", "c7e7", "c7d7", "c7d6", "c7c6", "c7b6", "c7e5", "c7c5", "c7a5", "c7f4", "c7c4", "c7g3", "c7c3", "c7h2", "c7c2", "b7b6", "a7a6", "b7b5", "a7a5"], "solution_first_move": "c7c2", "solution_full": ["c7c2", "b1a1", "c2c1", "h1c1", "c8c1"], "themes": ["backRankMate", "deflection", "endgame", "long", "mate", "mateIn3"], "rating": 719, "puzzle_id": "1ihNv"} {"fen": "8/8/8/1K3pp1/1p3k1p/7P/P4P2/3B4 b - -", "best_move": "g5g4", "pv_line": "g5g4 d1b3 f4f3 h3g4 f5g4 b3d1 f3f4 d1b3", "depth": 36, "knodes": 663, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "8/7r/4K3/3R4/3PpB2/3bPk2/8/8 b - - 14 77", "side": "black", "legal_moves": ["h7h8", "h7g7", "h7f7", "h7e7", "h7d7", "h7c7", "h7b7", "h7a7", "h7h6", "h7h5", "h7h4", "h7h3", "h7h2", "h7h1", "f3g4", "f3g2", "f3f2", "f3e2", "d3a6", "d3b5", "d3c4", "d3e2", "d3c2", "d3f1", "d3b1"], "solution_first_move": "d3c4", "solution_full": ["d3c4", "e6d6", "c4d5", "d6d5", "h7h4", "f4e5", "f3e3"], "themes": ["crushing", "endgame", "pin", "veryLong"], "rating": 2519, "puzzle_id": "BJ8dr"} {"fen": "4r3/4rpkp/p4Np1/1p1b4/3p1P2/3B2QP/PqP2P2/4R1K1 w - - 3 28", "side": "white", "legal_moves": ["f6g8", "f6e8", "f6h7", "f6d7", "f6h5", "f6d5", "f6g4", "f6e4", "g3g6", "g3g5", "g3h4", "g3g4", "g3f3", "g3e3", "g3h2", "g3g2", "d3g6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3f1", "g1h2", "g1f1", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "f4f5", "h3h4", "f2f3", "c2c3", "a2a3", "c2c4", "a2a4"], "solution_first_move": "f6e8", "solution_full": ["f6e8", "e7e8", "e1e8", "b2c1", "d3f1"], "themes": ["crushing", "long", "middlegame", "xRayAttack"], "rating": 2002, "puzzle_id": "IsDi4"} {"fen": "6k1/5ppp/1r2p3/1p6/3PP3/6P1/5P1P/2R3K1 w - - 0 31", "side": "white", "legal_moves": ["g1g2", "g1h1", "g1f1", "c1c8", "c1c7", "c1c6", "c1c5", "c1c4", "c1c3", "c1c2", "c1f1", "c1e1", "c1d1", "c1b1", "c1a1", "e4e5", "d4d5", "g3g4", "h2h3", "f2f3", "h2h4", "f2f4"], "solution_first_move": "c1c8", "solution_full": ["c1c8"], "themes": ["backRankMate", "endgame", "mate", "mateIn1", "oneMove", "rookEndgame"], "rating": 424, "puzzle_id": "DOmOF"} {"fen": "8/R4pk1/3P1r2/2P4p/4QPp1/8/P4KPq/8 b - - 0 39", "side": "black", "legal_moves": ["g7h8", "g7g8", "g7f8", "g7h6", "f6h6", "f6g6", "f6e6", "f6d6", "f6f5", "f6f4", "h2h4", "h2f4", "h2h3", "h2g3", "h2g2", "h2h1", "h2g1", "h5h4", "g4g3"], "solution_first_move": "f6f4", "solution_full": ["f6f4", "e4f4", "h2f4"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 1257, "puzzle_id": "K9jbC"} {"fen": "r2qk2r/pp4pp/1n3p2/3pNp2/1B1PnP2/P3P3/1P4PP/R2Q1RK1 w kq - 2 17", "side": "white", "legal_moves": ["e5f7", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "b4f8", "b4e7", "b4d6", "b4c5", "b4a5", "b4c3", "b4d2", "b4e1", "g1h1", "f1f3", "f1f2", "f1e1", "d1h5", "d1g4", "d1a4", "d1f3", "d1d3", "d1b3", "d1e2", "d1d2", "d1c2", "d1e1", "d1c1", "d1b1", "a1a2", "a1c1", "a1b1", "a3a4", "h2h3", "g2g3", "b2b3", "h2h4", "g2g4"], "solution_first_move": "d1h5", "solution_full": ["d1h5", "g7g6", "e5g6", "h7g6", "h5h8"], "themes": ["advantage", "long", "middlegame"], "rating": 1409, "puzzle_id": "HUEpn"} {"fen": "8/6p1/6K1/7P/7P/6k1/8/8 b - -", "best_move": "g3h4", "pv_line": "g3h4 g6g7 h4h5 g7f6 h5h4 f6f7 h4g4 f7e7 g4g3 e7d6", "depth": 65, "knodes": 131738, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "3rr1k1/5pp1/p1p2q1p/1p1b4/8/2P1Qp2/PPB3PP/3RR1K1 w - - 0 28", "side": "white", "legal_moves": ["e3e8", "e3e7", "e3a7", "e3h6", "e3e6", "e3b6", "e3g5", "e3e5", "e3c5", "e3f4", "e3e4", "e3d4", "e3f3", "e3d3", "e3f2", "e3e2", "e3d2", "e3c1", "c2h7", "c2g6", "c2f5", "c2e4", "c2a4", "c2d3", "c2b3", "c2b1", "g1f2", "g1h1", "g1f1", "e1e2", "e1f1", "d1d5", "d1d4", "d1d3", "d1d2", "d1c1", "d1b1", "d1a1", "g2f3", "c3c4", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "e3e8", "solution_full": ["e3e8", "d8e8", "e1e8"], "themes": ["kingsideAttack", "mate", "mateIn2", "middlegame", "pillsburysMate", "short"], "rating": 500, "puzzle_id": "Cay1u"} {"fen": "5k2/p4pb1/7p/6p1/1P2Bp2/P1qQ1P1P/5PK1/8 w - - 1 39", "side": "white", "legal_moves": ["e4a8", "e4h7", "e4b7", "e4g6", "e4c6", "e4f5", "e4d5", "d3d8", "d3d7", "d3d6", "d3a6", "d3d5", "d3b5", "d3d4", "d3c4", "d3e3", "d3c3", "d3e2", "d3d2", "d3c2", "d3f1", "d3d1", "d3b1", "g2h2", "g2h1", "g2g1", "g2f1", "b4b5", "h3h4", "a3a4"], "solution_first_move": "d3d8", "solution_full": ["d3d8"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 971, "puzzle_id": "8X8Mx"} {"fen": "r2qkbr1/p1p4p/2p1p3/7n/3P1pp1/8/PP4PP/RNBQ1RK1 w q -", "source": "stockfish_multipv", "best_move": "c1f4", "candidate_ratings": [{"uci": "c1f4", "rank": 1, "expectation": 0.38461624360881785, "pv_line": "c1f4 h5f4 f1f4 d8g5 f4e4 e8c8 b1c3 f8c5", "cp": -141}, {"uci": "b1c3", "rank": 2, "expectation": 0.3728522336868044, "pv_line": "b1c3 f4f3 d1a4 a8b8 f1f2 f8d6 g2g3 h5f6", "cp": -156}, {"uci": "d1a4", "rank": 3, "expectation": 0.34073961154861454, "pv_line": "d1a4 d8d6 b1c3 e8c8 f1d1 c8b7 b2b4 f8g7", "cp": -198}, {"uci": "b1a3", "rank": 4, "expectation": 0.3029407160345927, "pv_line": "b1a3 f8a3 b2a3 d8d6 a1b1 e8c8 d1b3 c8d7", "cp": -250}, {"uci": "f1e1", "rank": 5, "expectation": 0.289050497374996, "pv_line": "f1e1 g8g6 e1e5 d8h4 b1d2 f8g7 e5e4 e8f7", "cp": -270}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate c1f4: -141cp; Bucket: slight edge\n2. Candidate b1c3: -156cp; Bucket: clear advantage\n3. Candidate d1a4: -198cp; Bucket: clear advantage\n4. Candidate b1a3: -250cp; Bucket: clear advantage\n5. Candidate f1e1: -270cp; Bucket: clear advantage\n6. Best: b1c3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c1f4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c1f4: -141cp; Bucket: slight edge\nCandidate b1c3: -156cp; Bucket: clear advantage\nCandidate d1a4: -198cp; Bucket: clear advantage\nCandidate b1a3: -250cp; Bucket: clear advantage\nCandidate f1e1: -270cp; Bucket: clear advantage\nBest: c1f4", "displayed_trace": "Candidate c1f4: -141cp; Bucket: slight edge\nCandidate b1c3: -156cp; Bucket: clear advantage\nCandidate d1a4: -198cp; Bucket: clear advantage\nCandidate b1a3: -250cp; Bucket: clear advantage\nCandidate f1e1: -270cp; Bucket: clear advantage\nBest: b1c3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c1f4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c1f4."}} {"fen": "2N2r1k/ppQ4p/3p2p1/4n3/4P3/8/qP3PPP/2KR2NR b - 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-", "best_move": "e7g5", "pv_line": "e7g5 g2g3 f8d8 d3e2 g5e5 c3e5 d7e5 f4d3 e5d3 d1d3", "depth": 30, "knodes": 14869, "cp": 11, "mate": null, "eval_perspective": "white"} {"fen": "4r2r/pN2R3/1p6/2p2pp1/k7/2PBP3/PP3q2/2KR4 w - - 1 34", "side": "white", "legal_moves": ["e7e8", "e7h7", "e7g7", "e7f7", "e7d7", "e7c7", "e7e6", "e7e5", "e7e4", "b7d8", "b7d6", "b7c5", "b7a5", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3f1", "d3b1", "d1d2", "d1h1", "d1g1", "d1f1", "d1e1", "c1b1", "e3e4", "c3c4", "b2b3", "a2a3", "b2b4"], "solution_first_move": "b7c5", "solution_full": ["b7c5", "b6c5", "e7a7"], "themes": ["discoveredAttack", "mate", "mateIn2", "middlegame", "pillsburysMate", "short"], "rating": 1729, "puzzle_id": "BtAiR"} {"fen": "4r1k1/pp4p1/1q1bpr1p/3p2N1/8/6P1/P1Q2PKP/RN6 w - - 0 26", "side": "white", "legal_moves": ["g5h7", "g5f7", "g5e6", "g5e4", "g5h3", "g5f3", "g2h3", "g2h1", "g2g1", "g2f1", "c2c8", "c2h7", "c2c7", "c2g6", "c2c6", "c2f5", "c2c5", "c2e4", "c2c4", "c2a4", "c2d3", "c2c3", "c2b3", "c2e2", "c2d2", "c2b2", "c2d1", "c2c1", "b1c3", "b1a3", "b1d2", "g3g4", "h2h3", "f2f3", "a2a3", "h2h4", "f2f4", "a2a4"], "solution_first_move": "c2h7", "solution_full": ["c2h7", "g8f8", "h7h8", "f8e7", "h8g7", "e7d8", "g7f6"], "themes": ["advantage", "deflection", "kingsideAttack", "middlegame", "veryLong"], "rating": 1057, "puzzle_id": "1pHSy"} {"fen": "1r2r1k1/3n1pp1/2N5/2b4p/p3n3/P4N1P/1P3PP1/2BR1RK1 b - 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Candidate c5d6: M5; Bucket: forced mate\n2. Candidate c8h3: M9; Bucket: forced mate\n3. Candidate f2h3: +1504cp; Bucket: decisive\n4. Candidate f2g4: +934cp; Bucket: decisive\n5. Candidate h4f4: +449cp; Bucket: winning\n6. Best: c8h3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c5d6.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c5d6: M5; Bucket: forced mate\nCandidate c8h3: M9; Bucket: forced mate\nCandidate f2h3: +1504cp; Bucket: decisive\nCandidate f2g4: +934cp; Bucket: decisive\nCandidate h4f4: +449cp; Bucket: winning\nBest: c5d6", "displayed_trace": "Candidate c5d6: M5; Bucket: forced mate\nCandidate c8h3: M9; Bucket: forced mate\nCandidate f2h3: +1504cp; Bucket: decisive\nCandidate f2g4: +934cp; Bucket: decisive\nCandidate h4f4: +449cp; Bucket: winning\nBest: c8h3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c5d6.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c5d6."}} {"fen": "2k2r2/1pp3rp/pq4n1/3p1p2/Q4P2/2P4P/PP1N2P1/4RR1K w - 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- 6 12", "side": "white", "legal_moves": ["e5f7", "e5d7", "e5g6", "e5c6", "e5g4", "e5c4", "e5f3", "e5d3", "b5c7", "b5a7", "b5d6", "b5c3", "b5a3", "f4h6", "f4g5", "f4e3", "f4d2", "f4c1", "g2d5", "g2e4", "g2h3", "g2f3", "g2h1", "g1h1", "f1e1", "d1a4", "d1d3", "d1b3", "d1d2", "d1c2", "d1e1", "d1c1", "d1b1", "a1c1", "a1b1", "g3g4", "h2h3", "f2f3", "e2e3", "b2b3", "a2a3", "h2h4", "e2e4", "b2b4", "a2a4"], "solution_first_move": "e5c6", "solution_full": ["e5c6", "c8c6", "b5a7"], "themes": ["advantage", "capturingDefender", "middlegame", "short"], "rating": 1529, "puzzle_id": "6xh9M"} {"fen": "r1bqk2r/pp1p1ppp/2n1pn2/2b5/2PNP3/5P2/PP4PP/RNBQKB1R w KQkq -", "source": "stockfish_multipv", "best_move": "d4b3", "candidate_ratings": [{"uci": "d4b3", "rank": 1, "expectation": 0.4667159617488687, "pv_line": "d4b3 c5b4 c1d2 b4e7 b1c3 d7d5 d2e3 d5e4", "cp": -40}, {"uci": "d4c6", "rank": 2, "expectation": 0.46257015465625045, "pv_line": "d4c6 b7c6 e4e5 f6h5 g2g3 d7d5 b1c3 e8g8", "cp": -45}, {"uci": "d4c2", "rank": 3, "expectation": 0.37363200827185195, "pv_line": "d4c2 e8g8 c1e3 c5e3 c2e3 d7d5 c4d5 e6d5", "cp": -155}, {"uci": "d4b5", "rank": 4, "expectation": 0.34600043214210574, "pv_line": "d4b5 e8g8 b1d2 d8b6 d1e2 d7d5 e4e5 f6d7", "cp": -191}, {"uci": "d4e2", "rank": 5, "expectation": 0.34073961154861454, "pv_line": "d4e2 d7d5 b1c3 e8g8 e2g3 d8b6 d1d2 b6c7", "cp": -198}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate d4b3: -40cp; Bucket: equal\n2. Candidate d4c6: -45cp; Bucket: equal\n3. Candidate d4c2: -155cp; Bucket: clear advantage\n4. Candidate d4b5: -191cp; Bucket: clear advantage\n5. Candidate d4e2: -198cp; Bucket: clear advantage\n6. Best: d4c6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d4b3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d4b3: -40cp; Bucket: equal\nCandidate d4c6: -45cp; Bucket: equal\nCandidate d4c2: -155cp; Bucket: clear advantage\nCandidate d4b5: -191cp; Bucket: clear advantage\nCandidate d4e2: -198cp; Bucket: clear advantage\nBest: d4b3", "displayed_trace": "Candidate d4b3: -40cp; Bucket: equal\nCandidate d4c6: -45cp; Bucket: equal\nCandidate d4c2: -155cp; Bucket: clear advantage\nCandidate d4b5: -191cp; Bucket: clear advantage\nCandidate d4e2: -198cp; Bucket: clear advantage\nBest: d4c6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d4b3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d4b3."}} {"fen": "r4rk1/1p1b1pp1/pqn1p1np/3pP3/1P1P4/P1NB1NP1/3Q1P1P/R1R3K1 b - 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- 2 55", "side": "black", "legal_moves": ["g5h5", "g5h4", "b3b8", "b3b7", "b3b6", "b3b5", "b3b4", "b3f3", "b3e3", "b3d3", "b3c3", "b3a3", "b3b2", "b3b1"], "solution_first_move": "b3e3", "solution_full": ["b3e3", "e4d4", "e3f3"], "themes": ["crushing", "deflection", "endgame", "rookEndgame", "short"], "rating": 1609, "puzzle_id": "EZPf8"} {"fen": "8/6k1/2P1pp2/6pp/B3P1P1/2R2PK1/r7/6b1 b - - 1 49", "side": "black", "legal_moves": ["g7h8", "g7g8", "g7f8", "g7h7", "g7f7", "g7h6", "g7g6", "a2a4", "a2a3", "a2h2", "a2g2", "a2f2", "a2e2", "a2d2", "a2c2", "a2b2", "a2a1", "g1a7", "g1b6", "g1c5", "g1d4", "g1e3", "g1h2", "g1f2", "h5g4", "f6f5", "e6e5", "h5h4"], "solution_first_move": "h5h4", "solution_full": ["h5h4", "g3h3", "a2h2"], "themes": ["endgame", "mate", "mateIn2", "operaMate", "short"], "rating": 1660, "puzzle_id": "06ftU"} {"fen": "r4rk1/pp3pp1/3qp1np/3N4/8/1P5P/P4PP1/R2QR1K1 w - - 1 20", "side": "white", "legal_moves": ["d5e7", "d5c7", "d5f6", "d5b6", "d5f4", "d5b4", "d5e3", "d5c3", "g1h1", "g1f1", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "d1h5", "d1g4", "d1d4", "d1f3", "d1d3", "d1e2", "d1d2", "d1c2", "d1c1", "d1b1", "a1c1", "a1b1", "h3h4", "b3b4", "g2g3", "f2f3", "a2a3", "g2g4", "f2f4", "a2a4"], "solution_first_move": "d5f6", "solution_full": ["d5f6", "g7f6", "d1d6"], "themes": ["advantage", "discoveredAttack", "middlegame", "short"], "rating": 1139, "puzzle_id": "IhZPF"} {"fen": "4rk2/pp3ppp/2pq4/8/5R2/P2P1Q1P/1PP2PP1/6K1 b - - 0 21", "side": "black", "legal_moves": ["f8g8", "f8e7", "e8d8", "e8c8", "e8b8", "e8a8", "e8e7", "e8e6", "e8e5", "e8e4", "e8e3", "e8e2", "e8e1", "d6d8", "d6b8", "d6e7", "d6d7", "d6c7", "d6h6", "d6g6", "d6f6", "d6e6", "d6e5", "d6d5", "d6c5", "d6f4", "d6d4", "d6b4", "d6d3", "d6a3", "h7h6", "g7g6", "f7f6", "b7b6", "a7a6", "c6c5", "h7h5", "g7g5", "f7f5", "b7b5", "a7a5"], "solution_first_move": "e8e1", "solution_full": ["e8e1", "g1h2", "g7g5", "g2g3", "g5f4"], "themes": ["crushing", "endgame", "long"], "rating": 1382, "puzzle_id": "Bj6II"} {"fen": "r2q1rk1/pppnppbp/2np2p1/8/2PPP3/2NBBQ1P/PP3PP1/R3K2R w KQ -", "best_move": "d4d5", "pv_line": "d4d5 g7c3 b2c3 c6e5 f3e2 e5d3 e2d3 e7e6 d5e6 f7e6", "depth": 36, "knodes": 168770, "cp": -17, "mate": null, "eval_perspective": "white"} {"fen": "8/8/5p2/pp1k1p1p/6P1/PPbNK2P/8/8 w - - 0 48", "side": "white", "legal_moves": ["e3f4", "e3f3", "e3f2", "e3e2", "d3e5", "d3c5", "d3f4", "d3b4", "d3f2", "d3b2", "d3e1", "d3c1", "g4h5", "g4f5", "g4g5", "h3h4", "b3b4", "a3a4"], "solution_first_move": "d3f4", "solution_full": ["d3f4", "d5e5", "g4h5"], "themes": ["crushing", "endgame", "short"], "rating": 2040, "puzzle_id": "KapkI"} {"fen": "1qkr1b1r/pb1n1pp1/1P1p4/1Np4p/4PN2/3P2PB/1PP4P/R2Q1RK1 b - -", "source": "stockfish_multipv", "best_move": "a7b6", "candidate_ratings": [{"uci": "a7b6", "rank": 1, "expectation": 0.09885607317816938, "pv_line": "a7b6 f4d5 b7d5 e4d5 g7g5 a1a7 b8a7 b5a7", "cp": -663}, {"uci": "b8a8", "rank": 2, "expectation": 0.07220286797953832, "pv_line": "b8a8 b5a7 c8b8 a7b5 a8a1 d1a1 h5h4 a1a7", "cp": -766}, {"uci": "b7c6", "rank": 3, "expectation": 0.06297335605699649, "pv_line": "b7c6 b5a7 c8b7 a7c6 b7c6 f4d5 d7f6 c2c4", "cp": -810}, {"uci": "a7a6", "rank": 4, "expectation": 0.05215356307841774, "pv_line": "a7a6 b5a7 b8a7 b6a7 h5h4 a1a6 b7a8 f4d5", "cp": -870}, {"uci": "g7g5", "rank": 5, "expectation": 0.04849119678867169, "pv_line": "g7g5 b5a7 b8a7 b6a7 f8g7 f4d5 g7d4 g1h1", "cp": -893}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "8/3k4/5R2/5K1P/P5p1/8/r4P2/8 b - - 5 52", "side": "black", "legal_moves": ["d7e8", "d7d8", "d7c8", "d7e7", "d7c7", "a2a4", "a2a3", "a2f2", "a2e2", "a2d2", "a2c2", "a2b2", "a2a1", "g4g3"], "solution_first_move": "a2f2", "solution_full": ["a2f2", "f5g5", "f2f6"], "themes": ["crushing", "endgame", "master", "rookEndgame", "short"], "rating": 785, "puzzle_id": "10veH"} {"fen": "r4rk1/pp3ppp/5q2/4b3/2P1P3/1P1p2P1/PB2B2P/R2Q1RK1 b - 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-", "best_move": "c6a5", "pv_line": "c6a5 c3b5 b7f3 e2f3 c8c4 c2d3 d7d5 b2b3 c4c8 b5a7", "depth": 30, "knodes": 15590, "cp": 37, "mate": null, "eval_perspective": "white"} {"fen": "8/5p1r/2k1pP2/8/P5P1/8/1R3K2/8 b - - 0 41", "side": "black", "legal_moves": ["h7h8", "h7g7", "h7h6", "h7h5", "h7h4", "h7h3", "h7h2", "h7h1", "c6d7", "c6c7", "c6d6", "c6d5", "c6c5", "e6e5"], "solution_first_move": "h7h2", "solution_full": ["h7h2", "f2e1", "h2b2"], "themes": ["crushing", "endgame", "master", "rookEndgame", "short", "skewer"], "rating": 720, "puzzle_id": "0J1zL"} {"fen": "7K/5k1P/3p4/p1P5/1p1p4/1P6/1P6/8 b - - 0 56", "side": "black", "legal_moves": ["f7f8", "f7e8", "f7e7", "f7g6", "f7f6", "f7e6", "d6c5", "d6d5", "a5a4", "d4d3"], "solution_first_move": "d4d3", "solution_full": ["d4d3", "c5c6", "d3d2", "c6c7", "d2d1q", "c7c8q", "d1d4"], "themes": ["advancedPawn", "endgame", "mate", "mateIn4", "pawnEndgame", "promotion", "veryLong"], "rating": 1964, "puzzle_id": "CEZgq"} {"fen": "r1bq1rk1/1p1pbppp/p1n2n2/4P3/8/3Q1N2/PP2BPPP/RNB2RK1 b - -", "source": "stockfish_multipv", "best_move": "f6e8", "candidate_ratings": [{"uci": "f6e8", "rank": 1, "expectation": 0.4509911942411411, "pv_line": "f6e8 f1d1 d7d6 c1f4 d6e5 d3d8 c6d8 f3e5", "cp": -59}, {"uci": "f6g4", "rank": 2, "expectation": 0.4493410852387413, "pv_line": "f6g4 c1f4 f7f6 e5f6 g4f6 f4d6 b7b5 b1c3", "cp": -61}, {"uci": "c6b4", "rank": 3, "expectation": 0.38777688045020586, "pv_line": "c6b4 e5f6 b4d3 f6e7 d8e7 e2d3 f8e8 b1c3", "cp": -137}, {"uci": "f6h5", "rank": 4, "expectation": 0.29317777890643243, "pv_line": "f6h5 g2g4 f7f6 g4h5 f6e5 b1c3 d7d6 c1e3", "cp": -264}, {"uci": "d7d5", "rank": 5, "expectation": 0.25099110982976713, "pv_line": "d7d5 e5f6 e7f6 b1c3 c6b4 d3d2 f8e8 a2a3", "cp": -328}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate f6e8: -59cp; Bucket: slight edge\n2. Candidate f6g4: -61cp; Bucket: slight edge\n3. Candidate c6b4: -137cp; Bucket: slight edge\n4. Candidate f6h5: -264cp; Bucket: clear advantage\n5. Candidate d7d5: -328cp; Bucket: winning\n6. Best: f6g4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f6e8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate f6e8: -59cp; Bucket: slight edge\nCandidate f6g4: -61cp; Bucket: slight edge\nCandidate c6b4: -137cp; Bucket: slight edge\nCandidate f6h5: -264cp; Bucket: clear advantage\nCandidate d7d5: -328cp; Bucket: winning\nBest: f6e8", "displayed_trace": "Candidate f6e8: -59cp; Bucket: slight edge\nCandidate f6g4: -61cp; Bucket: slight edge\nCandidate c6b4: -137cp; Bucket: slight edge\nCandidate f6h5: -264cp; Bucket: clear advantage\nCandidate d7d5: -328cp; Bucket: winning\nBest: f6g4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be f6e8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f6e8."}} {"fen": "r4rk1/1b1p1p1n/2n1p2Q/p5q1/Bp2P3/3P4/1PP1NPP1/R3K2R w KQ - 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Candidate e2e4: +49cp; Bucket: equal\n2. Candidate d2f4: +40cp; Bucket: equal\n3. Candidate d1c2: +33cp; Bucket: equal\n4. Candidate d1b3: +31cp; Bucket: equal\n5. Candidate e1g1: +31cp; Bucket: equal\n6. Best: d2f4", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e2e4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e2e4: +49cp; Bucket: equal\nCandidate d2f4: +40cp; Bucket: equal\nCandidate d1c2: +33cp; Bucket: equal\nCandidate d1b3: +31cp; Bucket: equal\nCandidate e1g1: +31cp; Bucket: equal\nBest: e2e4", "displayed_trace": "Candidate e2e4: +49cp; Bucket: equal\nCandidate d2f4: +40cp; Bucket: equal\nCandidate d1c2: +33cp; Bucket: equal\nCandidate d1b3: +31cp; Bucket: equal\nCandidate e1g1: +31cp; Bucket: equal\nBest: d2f4", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e2e4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e2e4."}} {"fen": "r2k3r/pppbbppp/2p5/4Pn2/8/2N2N1P/PPP2PP1/R1B2RK1 w - 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Candidate d4e5: +466cp; Bucket: winning\n2. Candidate f3e5: +277cp; Bucket: clear advantage\n3. Candidate h5g6: +258cp; Bucket: clear advantage\n4. Candidate h5h6: +248cp; Bucket: clear advantage\n5. Candidate e3e4: +95cp; Bucket: slight edge\n6. Best: f3e5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d4e5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d4e5: +466cp; Bucket: winning\nCandidate f3e5: +277cp; Bucket: clear advantage\nCandidate h5g6: +258cp; Bucket: clear advantage\nCandidate h5h6: +248cp; Bucket: clear advantage\nCandidate e3e4: +95cp; Bucket: slight edge\nBest: d4e5", "displayed_trace": "Candidate d4e5: +466cp; Bucket: winning\nCandidate f3e5: +277cp; Bucket: clear advantage\nCandidate h5g6: +258cp; Bucket: clear advantage\nCandidate h5h6: +248cp; Bucket: clear advantage\nCandidate e3e4: +95cp; Bucket: slight edge\nBest: f3e5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d4e5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d4e5."}} {"fen": "r1b2rk1/ppbp3p/2pN1p2/2P5/1P5p/3Q4/4R1PP/q3NK1n w - 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-", "best_move": "f5c2", "pv_line": "f5c2 h8g7 c2d3 g7h8 d3b1 h8g7 g5f4 g7h8 f4e5 h8g7", "depth": 42, "knodes": 9296, "cp": 14, "mate": null, "eval_perspective": "white"} {"fen": "rnbqk2r/ppppbppp/5n2/6B1/3P4/8/PPP2PPP/RN1QKBNR w KQkq -", "best_move": "f1d3", "pv_line": "f1d3 d7d5 g1f3 h7h6 g5h4 f6h5 h4e7 d8e7 f3e5 h5f4", "depth": 32, "knodes": 51450, "cp": 17, "mate": null, "eval_perspective": "white"} {"fen": "8/kb6/p1q1p3/1pQ5/2pPp3/P1P4P/1P1N4/5K2 b - - 2 39", "side": "black", "legal_moves": ["a7b8", "a7a8", "c6b6", "c6c5"], "solution_first_move": "c6c5", "solution_full": ["c6c5", "d4c5", "e4e3", "f1e1", "e3d2"], "themes": ["advancedPawn", "crushing", "endgame", "long"], "rating": 1118, "puzzle_id": "AnvnQ"} {"fen": "3r1rk1/pb2b1pp/2n3q1/2p5/1pP1n3/1P1BBN2/P1Q2PPP/3RK2R w K - 0 20", "side": "white", "legal_moves": ["f3g5", "f3e5", "f3h4", "f3d4", "f3d2", "f3g1", "e3h6", "e3g5", "e3c5", "e3f4", "e3d4", "e3d2", "e3c1", "d3e4", "d3e2", "d3f1", "c2c3", "c2e2", "c2d2", "c2b2", "c2c1", "c2b1", "h1g1", "h1f1", "e1e2", "e1f1", "d1d2", "d1c1", "d1b1", "d1a1", "e1g1", "h2h3", "g2g3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "d3e4", "solution_full": ["d3e4", "d8d1", "e1d1", "c6d4", "e4g6"], "themes": ["advantage", "long", "middlegame"], "rating": 1765, "puzzle_id": "2GtqC"} {"fen": "2r2rk1/4qppp/p3p3/1p1n4/2pPN1Q1/2P4P/PP3PP1/R3R1K1 b - 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- 0 17", "side": "black", "legal_moves": ["h8g8", "f8g8", "f8e7", "d8e8", "d8c8", "d8b8", "d8e7", "d8d7", "d8c7", "d8f6", "d8d6", "d8g5", "d8h4", "a8c8", "a8b8", "d5b7", "d5c6", "d5e4", "d5c4", "d5f3", "d5b3", "d5g2", "d5a2", "h7h6", "g7g6", "f7f6", "a7a6", "h7h5", "g7g5", "f7f5", "a7a5"], "solution_first_move": "d5g2", "solution_full": ["d5g2", "h1g2", "d8d4"], "themes": ["crushing", "discoveredAttack", "kingsideAttack", "middlegame", "short"], "rating": 850, "puzzle_id": "6n79P"} {"fen": "r1bq1k1r/ppppn1pp/2n5/2b1P1N1/8/1QP5/P4PPP/RNB1K2R w KQ - 4 11", "side": "white", "legal_moves": ["g5h7", "g5f7", "g5e6", "g5e4", "g5h3", "g5f3", "b3g8", "b3f7", "b3b7", "b3e6", "b3b6", "b3d5", "b3b5", "b3c4", "b3b4", "b3a4", "b3a3", "b3c2", "b3b2", "b3d1", "h1g1", "h1f1", "e1e2", "e1d2", "e1f1", "e1d1", "c1f4", "c1e3", "c1a3", "c1d2", "c1b2", "b1a3", "b1d2", "e1g1", "e5e6", "c3c4", "h2h3", "g2g3", "f2f3", "a2a3", "h2h4", "g2g4", "f2f4", "a2a4"], "solution_first_move": "b3f7", "solution_full": ["b3f7"], "themes": ["mate", "mateIn1", "oneMove", "opening"], "rating": 857, "puzzle_id": "AZiTC"} {"fen": "1qr3k1/2R2pp1/4p2p/3p4/5Q1P/8/5PPK/8 w - - 8 34", "side": "white", "legal_moves": ["c7c8", "c7f7", "c7e7", "c7d7", "c7b7", "c7a7", "c7c6", "c7c5", "c7c4", "c7c3", "c7c2", "c7c1", "f4f7", "f4h6", "f4f6", "f4d6", "f4g5", "f4f5", "f4e5", "f4g4", "f4e4", "f4d4", "f4c4", "f4b4", "f4a4", "f4g3", "f4f3", "f4e3", "f4d2", "f4c1", "h2h3", "h2g3", "h2h1", "h2g1", "h4h5", "g2g3", "f2f3", "g2g4"], "solution_first_move": "f4f7", "solution_full": ["f4f7", "g8h8", "f7g7"], "themes": ["endgame", "mate", "mateIn2", "short"], "rating": 1084, "puzzle_id": "HFFGN"} {"fen": "rb1qk2r/pp1b1pp1/1n3n2/1NQp2N1/3Pp3/4P3/PP1B1P1P/R3KBR1 w Qkq -", "best_move": "b5d6", "pv_line": "b5d6 b8d6 c5d6 d8e7 d6e5 e7e5 d4e5 f6h7 d2c3 h7g5", "depth": 30, "knodes": 27053, "cp": -17, "mate": null, "eval_perspective": "white"} {"fen": "8/6kp/2Bn2p1/p7/3b1P2/3N2P1/6KP/8 w - -", "best_move": "d3c1", "pv_line": "d3c1 d4c5 c1d3 c5b6 d3e5 b6d4 e5f3 d4c3 f3g5 c3b4", "depth": 33, "knodes": 9133, "cp": -5, "mate": null, "eval_perspective": "white"} {"fen": "2r2rk1/p1q3pp/1p2p3/3PN3/P2Ppp2/8/1PQ2PPP/R1R3K1 b - - 0 22", "side": "black", "legal_moves": ["g8h8", "f8e8", "f8d8", "f8f7", "f8f6", "f8f5", "c8e8", "c8d8", "c8b8", "c8a8", "c7d8", "c7b8", "c7f7", "c7e7", "c7d7", "c7b7", "c7d6", "c7c6", "c7e5", "c7c5", "c7c4", "c7c3", "c7c2", "e6d5", "h7h6", "g7g6", "a7a6", "b6b5", "f4f3", "e4e3", "h7h5", "g7g5", "a7a5"], "solution_first_move": "c7c2", "solution_full": ["c7c2", "c1c2", "c8c2"], "themes": ["advantage", "middlegame", "short"], "rating": 703, "puzzle_id": "JI9IZ"} {"fen": "6k1/5pp1/p6p/q2pP3/P1pP2B1/8/2Q3PP/6K1 b - - 0 30", "side": "black", "legal_moves": ["g8h8", "g8f8", "a5d8", "a5c7", "a5b6", "a5c5", "a5b5", "a5b4", "a5a4", "a5c3", "a5d2", "a5e1", "g7g6", "f7f6", "h6h5", "c4c3", "g7g5", "f7f5"], "solution_first_move": "a5e1", "solution_full": ["a5e1"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 475, "puzzle_id": "9hCA9"} {"fen": "8/p4k2/4p1p1/3p3p/P2q3P/1PrB2P1/3Q1PK1/2r5 w - - 0 31", "side": "white", "legal_moves": ["d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3f1", "d3b1", "g2h3", "g2f3", "g2h2", "d2h6", "d2g5", "d2f4", "d2e3", "d2c3", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2d1", "d2c1", "a4a5", "g3g4", "b3b4", "f2f3", "f2f4"], "solution_first_move": "d3g6", "solution_full": ["d3g6", "f7g6", "d2d4"], "themes": ["advantage", "discoveredAttack", "endgame", "master", "short"], "rating": 1188, "puzzle_id": "2cF0l"} {"fen": "r1bqkb1r/pp3ppp/2pp1n2/4p3/2BNP3/2N5/PPPP1PPP/R1BQ1RK1 b kq -", "source": "stockfish_multipv", "best_move": "e5d4", "candidate_ratings": [{"uci": "e5d4", "rank": 1, "expectation": 0.5074994375506203, "pv_line": "e5d4 c3e2 f6e4 e2d4 d6d5 d2d3 e4c5 c4b3", "cp": 9}, {"uci": "d6d5", "rank": 2, "expectation": 0.358165954911269, "pv_line": "d6d5 e4d5 e5d4 d5c6 f8e7 c3e2 b7c6 h2h3", "cp": -175}, {"uci": "f6e4", "rank": 3, "expectation": 0.2250167335506652, "pv_line": "f6e4 c3e4 e5d4 e4g3 d6d5 c4e2 h7h5 f1e1", "cp": -371}, {"uci": "f8e7", "rank": 4, "expectation": 0.18694261396804635, "pv_line": "f8e7 d4f3 b7b5 c4b3 a7a5 a2a4 b5b4 c3e2", "cp": -441}, {"uci": "d8c7", "rank": 5, "expectation": 0.1750862681640398, "pv_line": "d8c7 d4e2 d6d5 e4d5 b7b5 c4b3 b5b4 b3a4", "cp": -465}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e5d4: +9cp; Bucket: equal\n2. Candidate d6d5: -175cp; Bucket: clear advantage\n3. Candidate f6e4: -371cp; Bucket: winning\n4. Candidate f8e7: -441cp; Bucket: winning\n5. Candidate d8c7: -465cp; Bucket: winning\n6. Best: d6d5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e5d4: +9cp; Bucket: equal\nCandidate d6d5: -175cp; Bucket: clear advantage\nCandidate f6e4: -371cp; Bucket: winning\nCandidate f8e7: -441cp; Bucket: winning\nCandidate d8c7: -465cp; Bucket: winning\nBest: e5d4", "displayed_trace": "Candidate e5d4: +9cp; Bucket: equal\nCandidate d6d5: -175cp; Bucket: clear advantage\nCandidate f6e4: -371cp; Bucket: winning\nCandidate f8e7: -441cp; Bucket: winning\nCandidate d8c7: -465cp; Bucket: winning\nBest: d6d5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e5d4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d4."}} {"fen": "8/5pp1/2N4p/1R6/2P2Pb1/3k2P1/5K2/3r4 w - - 0 58", "side": "white", "legal_moves": ["c6d8", "c6b8", "c6e7", "c6a7", "c6e5", "c6a5", "c6d4", "c6b4", "b5b8", "b5b7", "b5b6", "b5h5", "b5g5", "b5f5", "b5e5", "b5d5", "b5c5", "b5a5", "b5b4", "b5b3", "b5b2", "b5b1", "f2g2", "f4f5", "c4c5"], "solution_first_move": "c6e5", "solution_full": ["c6e5", "d3e4", "e5g4"], "themes": ["advantage", "endgame", "fork", "short"], "rating": 1794, "puzzle_id": "JOQVm"} {"fen": "5rk1/R2b1ppp/4p3/n5N1/2Q5/q3P1P1/5PBP/6K1 b - - 2 22", "side": "black", "legal_moves": ["g8h8", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "d7e8", "d7c8", "d7c6", "d7b5", "d7a4", "a5b7", "a5c6", "a5c4", "a5b3", "a3e7", "a3d6", "a3c5", "a3b4", "a3a4", "a3e3", "a3d3", "a3c3", "a3b3", "a3b2", "a3a2", "a3c1", "a3a1", "h7h6", "g7g6", "f7f6", "e6e5", "h7h5", "f7f5"], "solution_first_move": "a5c4", "solution_full": ["a5c4", "a7a3", "c4a3"], "themes": ["crushing", "middlegame", "short"], "rating": 1647, "puzzle_id": "F5JYv"} {"fen": "5q2/pbr3pk/1p2Q2p/3pN3/3Pn3/1P1B4/P1P3RP/7K w - -", "source": "stockfish_multipv", "best_move": "e5d7", "candidate_ratings": [{"uci": "e5d7", "rank": 1, "expectation": 0.7930375724586045, "pv_line": "e5d7 c7d7 e6d7 b7a8 d7e6 h7h8 h1g1 e4g5", "cp": 403}, {"uci": "e6g6", "rank": 2, "expectation": 0.6302602229177513, "pv_line": "e6g6 h7h8 g6e6 f8g8 e6f5 g8e8 f5f4 h8h7", "cp": 160}, {"uci": "h1g1", "rank": 3, "expectation": 0.5817593768418363, "pv_line": "h1g1 f8f6 e6f6 g7f6 e5g6 f6f5 g6f8 h7h8", "cp": 99}, {"uci": "a2a4", "rank": 4, "expectation": 0.5703632448561154, "pv_line": "a2a4 f8f6 e6f6 g7f6 e5g6 f6f5 g6f8 h7h8", "cp": 85}, {"uci": "c2c4", "rank": 5, "expectation": 0.5703632448561154, "pv_line": "c2c4 f8f6 e6f6 g7f6 e5g4 c7f7 c4d5 b7d5", "cp": 85}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e5d7: +403cp; Bucket: winning\n2. Candidate e6g6: +160cp; Bucket: clear advantage\n3. Candidate h1g1: +99cp; Bucket: slight edge\n4. Candidate a2a4: +85cp; Bucket: slight edge\n5. Candidate c2c4: +85cp; Bucket: slight edge\n6. Best: e6g6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e5d7: +403cp; Bucket: winning\nCandidate e6g6: +160cp; Bucket: clear advantage\nCandidate h1g1: +99cp; Bucket: slight edge\nCandidate a2a4: +85cp; Bucket: slight edge\nCandidate c2c4: +85cp; Bucket: slight edge\nBest: e5d7", "displayed_trace": "Candidate e5d7: +403cp; Bucket: winning\nCandidate e6g6: +160cp; Bucket: clear advantage\nCandidate h1g1: +99cp; Bucket: slight edge\nCandidate a2a4: +85cp; Bucket: slight edge\nCandidate c2c4: +85cp; Bucket: slight edge\nBest: e6g6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e5d7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e5d7."}} {"fen": "5rk1/5p2/4p1p1/p2pP1P1/1p6/1P5R/q5PQ/4K3 b - -", "best_move": "a2a1", "pv_line": "a2a1 e1d2 a1d4 d2e2 d4b2 e2d1 b2b1 d1d2 b1b2", "depth": 57, "knodes": 852, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "5rk1/p1Q2qp1/7p/3p4/P2Np3/4P3/5PPP/2R3K1 b - - 2 34", "side": "black", "legal_moves": ["g8h8", "g8h7", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f7e8", "f7e7", "f7d7", "f7c7", "f7g6", "f7f6", "f7e6", "f7h5", "f7f5", "f7f4", "f7f3", "f7f2", "g7g6", "a7a6", "h6h5", "g7g5", "a7a5"], "solution_first_move": "f7f2", "solution_full": ["f7f2", "g1h1", "f2f1", "c1f1", "f8f1"], "themes": ["backRankMate", "endgame", "long", "mate", "mateIn3", "sacrifice"], "rating": 970, "puzzle_id": "JWvDX"} {"fen": "2r4k/1p4p1/1pr4p/n2qNp2/4p3/P2P2P1/1Q2PP1P/R1R3K1 b - - 1 28", "side": "black", "legal_moves": ["h8g8", "h8h7", "c8g8", "c8f8", "c8e8", "c8d8", "c8b8", "c8a8", "c8c7", "c6c7", "c6g6", "c6f6", "c6e6", "c6d6", "c6c5", "c6c4", "c6c3", "c6c2", "c6c1", "d5g8", "d5d8", "d5f7", "d5d7", "d5e6", "d5d6", "d5e5", "d5c5", "d5b5", "d5d4", "d5c4", "d5d3", "d5b3", "d5a2", "a5c4", "a5b3", "e4d3", "g7g6", "h6h5", "b6b5", "f5f4", "e4e3", "g7g5"], "solution_first_move": "c6c1", "solution_full": ["c6c1", "a1c1", "c8c1", "b2c1", "d5e5", "c1c8", "h8h7"], "themes": ["advantage", "middlegame", "veryLong"], "rating": 1135, "puzzle_id": "GhEID"} {"fen": "6k1/6rp/6p1/p2Ppb2/r1P5/1N2KP2/6PR/2R5 b - - 3 32", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8f7", "g7f7", "g7e7", "g7d7", "g7c7", "g7b7", "g7a7", "f5c8", "f5d7", "f5e6", "f5g4", "f5e4", "f5h3", "f5d3", "f5c2", "f5b1", "a4c4", "a4b4", "a4a3", "a4a2", "a4a1", "h7h6", "g6g5", "e5e4", "h7h5"], "solution_first_move": "a4a3", "solution_full": ["a4a3", "e3f2", "a3b3"], "themes": ["advantage", "endgame", "pin", "short"], "rating": 1099, "puzzle_id": "E45qw"} {"fen": "8/8/5p1p/pp2k1p1/2p1P1P1/1PP1K2P/P7/8 b - - 0 35", "side": "black", "legal_moves": ["e5e6", "e5d6", "c4b3", "h6h5", "f6f5", "b5b4", "a5a4"], "solution_first_move": "c4b3", "solution_full": ["c4b3", "a2b3", "a5a4", "b3a4", "b5a4"], "themes": ["crushing", "endgame", "long", "pawnEndgame"], "rating": 1255, "puzzle_id": "JxgtE"} {"fen": "2r3k1/pn2rpbp/4p1p1/2ppP3/3q1QP1/1PN2B1P/P4PK1/2R2R2 w - - 0 24", "side": "white", "legal_moves": ["f4f7", "f4h6", "f4f6", "f4g5", "f4f5", "f4e4", "f4d4", "f4g3", "f4e3", "f4h2", "f4d2", "f3d5", "f3e4", "f3e2", "f3d1", "c3d5", "c3b5", "c3e4", "c3a4", "c3e2", "c3d1", "c3b1", "g2g3", "g2h2", "g2h1", "g2g1", "f1h1", "f1g1", "f1e1", "f1d1", "c1c2", "c1e1", "c1d1", "c1b1", "c1a1", "g4g5", "h3h4", "b3b4", "a2a3", "a2a4"], "solution_first_move": "f4d4", "solution_full": ["f4d4", "c5d4", "c3d5", "e6d5", "c1c8"], "themes": ["crushing", "discoveredAttack", "long", "middlegame"], "rating": 1883, "puzzle_id": "4A2UZ"} {"fen": "5bk1/2pq4/1p1pb1p1/3Np2p/1PP1P2P/4B3/3Q2P1/6K1 w - 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-", "source": "stockfish_multipv", "best_move": "e3g3", "candidate_ratings": [{"uci": "e3g3", "rank": 1, "expectation": 1.0, "pv_line": "e3g3 d8g5 g3g5", "mate": 2}, {"uci": "c2c3", "rank": 2, "expectation": 0.99999445901832, "pv_line": "c2c3 d8h4 h6h4 f8e8 h4f6 g8f8 e3f3 f8g8", "cp": 3631}, {"uci": "g1h2", "rank": 3, "expectation": 0.8889440332885924, "pv_line": "g1h2 b4d2 e3g3 d2g5 g3g5 d8g5 h6g5 g8h7", "cp": 624}, {"uci": "h3h4", "rank": 4, "expectation": 0.8872879606477372, "pv_line": "h3h4 b4d2 e3g3 d2g5 g3g5 d8g5 h6g5 g8h7", "cp": 619}, {"uci": "e3f3", "rank": 5, "expectation": 0.882535895209049, "pv_line": "e3f3 b4d2 f3g3 d2g5 g3g5 d8g5 h6g5 g8h7", "cp": 605}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e3g3: M2; Bucket: forced mate\n2. Candidate c2c3: +3631cp; Bucket: decisive\n3. Candidate g1h2: +624cp; Bucket: decisive\n4. Candidate h3h4: +619cp; Bucket: decisive\n5. Candidate e3f3: +605cp; Bucket: decisive\n6. Best: c2c3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e3g3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e3g3: M2; Bucket: forced mate\nCandidate c2c3: +3631cp; Bucket: decisive\nCandidate g1h2: +624cp; Bucket: decisive\nCandidate h3h4: +619cp; Bucket: decisive\nCandidate e3f3: +605cp; Bucket: decisive\nBest: e3g3", "displayed_trace": "Candidate e3g3: M2; Bucket: forced mate\nCandidate c2c3: +3631cp; Bucket: decisive\nCandidate g1h2: +624cp; Bucket: decisive\nCandidate h3h4: +619cp; Bucket: decisive\nCandidate e3f3: +605cp; Bucket: decisive\nBest: c2c3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e3g3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e3g3."}} {"fen": "q3nrk1/3nbppp/2Np4/6P1/1p2PB2/1p6/1PPQ3P/1K1R1B1R b - 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Candidate f6d8: M2; Bucket: forced mate\n2. Candidate f6d6: -479cp; Bucket: winning\n3. Candidate f6e6: -481cp; Bucket: winning\n4. Candidate f6f7: -643cp; Bucket: decisive\n5. Candidate f6h4: -679cp; Bucket: decisive\n6. Best: f6d6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f6d8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate f6d8: M2; Bucket: forced mate\nCandidate f6d6: -479cp; Bucket: winning\nCandidate f6e6: -481cp; Bucket: winning\nCandidate f6f7: -643cp; Bucket: decisive\nCandidate f6h4: -679cp; Bucket: decisive\nBest: f6d8", "displayed_trace": "Candidate f6d8: M2; Bucket: forced mate\nCandidate f6d6: -479cp; Bucket: winning\nCandidate f6e6: -481cp; Bucket: winning\nCandidate f6f7: -643cp; Bucket: decisive\nCandidate f6h4: -679cp; Bucket: decisive\nBest: f6d6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be f6d8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f6d8."}} {"fen": "r1bq1rk1/ppp2pp1/5n1p/2bP4/2P1p3/5N1P/PPP1QPP1/RNB1K2R w KQ -", "best_move": "f3h2", "pv_line": "f3h2 c7c6 e1g1 c6d5 c4d5 f6d5 e2e4 f8e8 e4f3 c8e6", "depth": 34, "knodes": 57082, "cp": -32, "mate": null, "eval_perspective": "white"} {"fen": "1r3kr1/p4pq1/4R3/7Q/8/1PP3PP/P4P1K/8 w - 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Candidate d6d5: -57cp; Bucket: slight edge\n2. Candidate a7a6: -110cp; Bucket: slight edge\n3. Candidate b7a6: -143cp; Bucket: slight edge\n4. Candidate c8a8: -151cp; Bucket: clear advantage\n5. Candidate c8b8: -193cp; Bucket: clear advantage\n6. Best: a7a6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d6d5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d6d5: -57cp; Bucket: slight edge\nCandidate a7a6: -110cp; Bucket: slight edge\nCandidate b7a6: -143cp; Bucket: slight edge\nCandidate c8a8: -151cp; Bucket: clear advantage\nCandidate c8b8: -193cp; Bucket: clear advantage\nBest: d6d5", "displayed_trace": "Candidate d6d5: -57cp; Bucket: slight edge\nCandidate a7a6: -110cp; Bucket: slight edge\nCandidate b7a6: -143cp; Bucket: slight edge\nCandidate c8a8: -151cp; Bucket: clear advantage\nCandidate c8b8: -193cp; Bucket: clear advantage\nBest: a7a6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d6d5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d6d5."}} {"fen": "8/8/8/8/3kNK2/1p6/8/8 w - 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Candidate d5e4: -62cp; Bucket: slight edge\n2. Candidate g8f6: -77cp; Bucket: slight edge\n3. Candidate e7b4: -111cp; Bucket: slight edge\n4. Candidate d5c4: -129cp; Bucket: slight edge\n5. Candidate h7h6: -141cp; Bucket: slight edge\n6. Best: g8f6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d5e4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate d5e4: -62cp; Bucket: slight edge\nCandidate g8f6: -77cp; Bucket: slight edge\nCandidate e7b4: -111cp; Bucket: slight edge\nCandidate d5c4: -129cp; Bucket: slight edge\nCandidate h7h6: -141cp; Bucket: slight edge\nBest: d5e4", "displayed_trace": "Candidate d5e4: -62cp; Bucket: slight edge\nCandidate g8f6: -77cp; Bucket: slight edge\nCandidate e7b4: -111cp; Bucket: slight edge\nCandidate d5c4: -129cp; Bucket: slight edge\nCandidate h7h6: -141cp; Bucket: slight edge\nBest: g8f6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be d5e4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be d5e4."}} {"fen": "rnbqkb1r/ppp2ppp/4p3/3nP3/3P4/2N5/PP3PPP/R1BQKBNR w KQkq -", "best_move": "f1c4", "pv_line": "f1c4 c7c5 g1f3 b8c6 e1g1 c5d4 f3d4 d5c3 b2c3 c8d7", "depth": 32, "knodes": 52003, "cp": 61, "mate": null, "eval_perspective": "white"} {"fen": "r4rk1/p1ppq1p1/1p1b1n1p/4p3/4b3/1P1BBN2/P1P1QPPP/2R2RK1 w - 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-", "best_move": "h2h3", "pv_line": "h2h3 h7h6 a2a4 c7c6 c1f4 d7e6 a4a5 d6d5 e4e5 f6d7", "depth": 36, "knodes": 944130, "cp": 38, "mate": null, "eval_perspective": "white"} {"fen": "r3k2r/pp1bnppp/8/3q4/2p2P2/8/P1PB3P/R2QR1K1 w kq - 0 18", "side": "white", "legal_moves": ["d2a5", "d2b4", "d2e3", "d2c3", "d2c1", "g1f2", "g1f1", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "d1h5", "d1g4", "d1f3", "d1e2", "d1c1", "d1b1", "a1c1", "a1b1", "f4f5", "h2h3", "c2c3", "a2a3", "h2h4", "a2a4"], "solution_first_move": "e1e7", "solution_full": ["e1e7", "e8f8", "d2b4", "d5d1", "a1d1"], "themes": ["advantage", "long", "middlegame", "quietMove"], "rating": 2259, "puzzle_id": "2Nt5h"} {"fen": "r1bqkbnr/ppp1pppp/2n5/3p4/3P1B2/P7/1PP1PPPP/RN1QKBNR b KQkq -", "best_move": "f7f6", "pv_line": "f7f6 f4g3 e7e5 d4e5 f6e5 e2e4 d5e4 d1d8 e8d8 b1c3", "depth": 32, "knodes": 169988, "cp": 26, "mate": null, "eval_perspective": "white"} {"fen": "7r/1R1nk3/p1p2p2/P1Ppp1p1/3P2P1/4PPBb/1P2B2K/8 b - - 0 33", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "h8d8", "h8c8", "h8b8", "h8a8", "h8h7", "h8h6", "h8h5", "h8h4", "e7f8", "e7e8", "e7d8", "e7f7", "e7e6", "h3g4", "h3g2", "h3f1", "e5d4", "f6f5", "e5e4"], "solution_first_move": "h3f1", "solution_full": ["h3f1", "h2g1", "f1e2"], "themes": ["advantage", "discoveredAttack", "discoveredCheck", "endgame", "master", "short"], "rating": 1205, "puzzle_id": "GJeAs"} {"fen": "2N5/6p1/5p2/2k2P2/2p3P1/P1R4K/8/1r6 b - 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Candidate f3e5: +78cp; Bucket: slight edge\n2. Candidate f1e1: +64cp; Bucket: slight edge\n3. Candidate h2h3: +57cp; Bucket: slight edge\n4. Candidate h2h4: +48cp; Bucket: equal\n5. Candidate f4g5: +45cp; Bucket: equal\n6. Best: f1e1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f3e5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate f3e5: +78cp; Bucket: slight edge\nCandidate f1e1: +64cp; Bucket: slight edge\nCandidate h2h3: +57cp; Bucket: slight edge\nCandidate h2h4: +48cp; Bucket: equal\nCandidate f4g5: +45cp; Bucket: equal\nBest: f3e5", "displayed_trace": "Candidate f3e5: +78cp; Bucket: slight edge\nCandidate f1e1: +64cp; Bucket: slight edge\nCandidate h2h3: +57cp; Bucket: slight edge\nCandidate h2h4: +48cp; Bucket: equal\nCandidate f4g5: +45cp; Bucket: equal\nBest: f1e1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be f3e5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f3e5."}} {"fen": "8/8/p6p/4Npp1/2pPk3/2P3PP/P1b2K2/8 w - 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-", "best_move": "e4d4", "pv_line": "e4d4 b4b3 f5e3 b3b2 d3c4 b2b1 d4c3 b1a1 e3c2 a1b1", "depth": 85, "knodes": 82475, "cp": null, "mate": 24, "eval_perspective": "white"} {"fen": "2r2r2/6kp/1p1p1qpb/p2B4/P1P2PQ1/7R/1P5P/5RK1 w - - 0 25", "side": "white", "legal_moves": ["d5g8", "d5a8", "d5f7", "d5b7", "d5e6", "d5c6", "d5e4", "d5f3", "d5g2", "d5h1", "g4c8", "g4d7", "g4g6", "g4e6", "g4h5", "g4g5", "g4f5", "g4h4", "g4g3", "g4f3", "g4g2", "g4e2", "g4d1", "h3h6", "h3h5", "h3h4", "h3g3", "h3f3", "h3e3", "h3d3", "h3c3", "h3b3", "h3a3", "g1g2", "g1f2", "g1h1", "f1f3", "f1f2", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "f4f5", "c4c5", "b2b3", "b2b4"], "solution_first_move": "g4d7", "solution_full": ["g4d7", "g7h8", "h3h6"], "themes": ["crushing", "deflection", "master", "middlegame", "short"], "rating": 1393, "puzzle_id": "F61lK"} {"fen": "6k1/4p2p/3p1pPQ/2nb4/7N/6P1/4PP1K/1r6 b - - 0 42", "side": "black", "legal_moves": ["g8h8", "d5a8", "d5f7", "d5b7", "d5e6", "d5c6", "d5e4", "d5c4", "d5f3", "d5b3", "d5g2", "d5a2", "d5h1", "c5d7", "c5b7", "c5e6", "c5a6", "c5e4", "c5a4", "c5d3", "c5b3", "b1b8", "b1b7", "b1b6", "b1b5", "b1b4", "b1b3", "b1b2", "b1h1", "b1g1", "b1f1", "b1e1", "b1d1", "b1c1", "b1a1", "h7g6", "e7e6", "f6f5", "e7e5"], "solution_first_move": "b1h1", "solution_full": ["b1h1"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove", "operaMate"], "rating": 567, "puzzle_id": "2jGpS"} {"fen": "4R3/1n1k4/1p4K1/pB6/P7/8/8/8 b - -", "best_move": "d7d6", "pv_line": "d7d6 e8b8 b7c5 b8b6 d6d5 g6f7 c5b3 f7e7 b3c1 b6c6", "depth": 36, "knodes": 69232, "cp": 20000, "mate": null, "eval_perspective": "white"} {"fen": "8/p2p1k2/3Ppp2/P7/4qP1p/8/2Q3RP/6K1 b - -", "best_move": "e4e1", "pv_line": "e4e1", "depth": 245, "knodes": 19, "cp": null, "mate": -1, "eval_perspective": "white"} {"fen": "8/8/8/8/2k4K/5R2/6R1/8 w - -", "source": "stockfish_multipv", "best_move": "h4g5", "candidate_ratings": [{"uci": "h4g5", "rank": 1, "expectation": 1.0, "pv_line": "h4g5 c4d5 g2c2 d5e4 f3b3 e4d5 b3d3 d5e6", "mate": 6}, {"uci": "g2c2", "rank": 2, "expectation": 1.0, "pv_line": "g2c2 c4d5 h4g5 d5e4 f3b3 e4d5 b3d3 d5e6", "mate": 6}, {"uci": "g2d2", "rank": 3, "expectation": 1.0, "pv_line": "g2d2 c4c5 h4g5 c5c6 d2c2 c6d7 f3d3 d7e7", "mate": 7}, {"uci": "f3g3", "rank": 4, "expectation": 1.0, "pv_line": "f3g3 c4d5 g2c2 d5d6 g3d3 d6e7 h4g5 e7f8", "mate": 7}, {"uci": "h4g4", "rank": 5, "expectation": 1.0, "pv_line": "h4g4 c4d5 g2c2 d5e4 f3b3 e4d5 g4g5 d5d6", "mate": 8}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "8/8/2N5/8/5k2/8/3Kp3/8 b - -", "source": "stockfish_multipv", "best_move": "f4f3", "candidate_ratings": [{"uci": "f4f3", "rank": 1, "expectation": 0.52497918747894, "pv_line": "f4f3 c6d4 f3f4 d2e2 f4e5 d4c6 e5d6 e2e3", "cp": 30}, {"uci": "e2e1q", "rank": 2, "expectation": 0.52497918747894, "pv_line": "e2e1q d2e1 f4e3 c6e5 e3d4 e1e2 d4c5 e2d3", "cp": 30}, {"uci": "f4e4", "rank": 3, "expectation": 0.52497918747894, "pv_line": "f4e4 d2e2 e4d5 c6e5 d5c5 e2d3 c5d6 d3d4", "cp": 30}, {"uci": "f4f5", "rank": 4, "expectation": 0.52497918747894, "pv_line": "f4f5 d2e2 f5e4 c6e5 e4d5 e2e3 d5d6 e3d4", "cp": 30}, {"uci": "f4g5", "rank": 5, "expectation": 0.52497918747894, "pv_line": "f4g5 d2e2 g5h4 c6e5 h4h5 e2e3 h5g5 e3e4", "cp": 30}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate f4f3: +30cp; Bucket: equal\n2. Candidate e2e1q: +30cp; Bucket: equal\n3. Candidate f4e4: +30cp; Bucket: equal\n4. Candidate f4f5: +30cp; Bucket: equal\n5. Candidate f4g5: +30cp; Bucket: equal\n6. Best: e2e1q", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f4f3.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate f4f3: +30cp; Bucket: equal\nCandidate e2e1q: +30cp; Bucket: equal\nCandidate f4e4: +30cp; Bucket: equal\nCandidate f4f5: +30cp; Bucket: equal\nCandidate f4g5: +30cp; Bucket: equal\nBest: f4f3", "displayed_trace": "Candidate f4f3: +30cp; Bucket: equal\nCandidate e2e1q: +30cp; Bucket: equal\nCandidate f4e4: +30cp; Bucket: equal\nCandidate f4f5: +30cp; Bucket: equal\nCandidate f4g5: +30cp; Bucket: equal\nBest: e2e1q", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be f4f3.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be f4f3."}} {"fen": "6k1/5pp1/1p2B2p/3pb3/P5Q1/1qr3P1/7K/4R3 w - 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- 6 40", "side": "white", "legal_moves": ["f1g2", "f1f2", "f1e2", "h5d1", "c3e1"], "solution_first_move": "c3e1", "solution_full": ["c3e1", "c4e3", "f1f2", "b1c2", "f2e3"], "themes": ["crushing", "defensiveMove", "endgame", "long"], "rating": 2165, "puzzle_id": "Ff0R2"} {"fen": "4r1k1/1p3p2/p1p1r1pb/2Pq3p/1P1P2p1/4R1P1/3Q1P1P/B2R2K1 w - - 8 28", "side": "white", "legal_moves": ["e3e6", "e3e5", "e3e4", "e3f3", "e3d3", "e3c3", "e3b3", "e3a3", "e3e2", "e3e1", "d2d3", "d2c3", "d2e2", "d2c2", "d2b2", "d2a2", "d2e1", "d2c1", "g1f1", "d1f1", "d1e1", "d1c1", "d1b1", "a1c3", "a1b2", "b4b5", "h2h3", "f2f3", "h2h4", "f2f4"], "solution_first_move": "e3e6", "solution_full": ["e3e6", "h6d2", "e6e8", "g8h7", "d1d2"], "themes": ["advantage", "kingsideAttack", "long", "middlegame"], "rating": 1413, "puzzle_id": "4JW6L"} {"fen": "5rk1/3R1ppb/p3r2p/1p5P/1Pp3Q1/P4R2/6PK/1q6 w - - 3 38", "side": "white", "legal_moves": ["d7d8", "d7f7", "d7e7", "d7c7", "d7b7", "d7a7", "d7d6", "d7d5", "d7d4", "d7d3", "d7d2", "d7d1", "g4g7", "g4g6", "g4e6", "g4g5", "g4f5", "g4h4", "g4f4", "g4e4", "g4d4", "g4c4", "g4h3", "g4g3", "f3f7", "f3f6", "f3f5", "f3f4", "f3h3", "f3g3", "f3e3", "f3d3", "f3c3", "f3b3", "f3f2", "f3f1", "h2h3", "h2g3", "a3a4", "g2g3"], "solution_first_move": "f3f7", "solution_full": ["f3f7", "b1h1", "h2h1"], "themes": ["advantage", "middlegame", "short"], "rating": 1754, "puzzle_id": "JyzYF"} {"fen": "6k1/4b2p/4pp2/3p4/Pp1P2p1/1Pp1P1P1/4KP1P/2B5 w - 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- 0 48", "side": "white", "legal_moves": ["a7a8", "a7e7", "a7d7", "a7c7", "a7b7", "a7a6", "a7a5", "a7a4", "a7a3", "a7a2", "a7a1", "c2c3", "c2b3", "c2d2", "c2b2", "c2d1", "c2b1", "f7f8q", "f7f8r", "f7f8b", "f7f8n", "h2h3", "h2h4"], "solution_first_move": "a7a4", "solution_full": ["a7a4", "e4e3", "a4f4"], "themes": ["crushing", "endgame", "rookEndgame", "short"], "rating": 1128, "puzzle_id": "2BdYo"} {"fen": "1r6/b1p1r3/p1B2k1p/3RpP1n/1P4p1/2P3P1/P5KB/4R3 b - -", "source": "stockfish_multipv", "best_move": "h5g7", "candidate_ratings": [{"uci": "h5g7", "rank": 1, "expectation": 0.5216531151169002, "pv_line": "h5g7 d5a5 g7f5 a5a6 a7b6 c6e4 f6g5 e4f5", "cp": 26}, {"uci": "b8b6", "rank": 2, "expectation": 0.51499550161941, "pv_line": "b8b6 d5c5 b6b8 c5d5 h5g7 d5a5 g7f5 a5a6", "cp": 18}, {"uci": "e5e4", "rank": 3, "expectation": 0.5074994375506203, "pv_line": "e5e4 a2a3 h5g7 c3c4 b8b6 h2g1 e4e3 e1e3", "cp": 9}, {"uci": "f6g5", "rank": 4, "expectation": 0.4775151752081999, "pv_line": "f6g5 d5e5 e7e5 e1e5 h5f6 h2g1 a7g1 g2g1", "cp": -27}, {"uci": "b8g8", "rank": 5, "expectation": 0.46174159544398685, "pv_line": "b8g8 a2a4 h5g7 d5a5 g8d8 a5a6 d8d2 g2h1", "cp": -46}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h5g7: +26cp; Bucket: equal\n2. Candidate b8b6: +18cp; Bucket: equal\n3. Candidate e5e4: +9cp; Bucket: equal\n4. Candidate f6g5: -27cp; Bucket: equal\n5. Candidate b8g8: -46cp; Bucket: equal\n6. Best: b8b6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h5g7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h5g7: +26cp; Bucket: equal\nCandidate b8b6: +18cp; Bucket: equal\nCandidate e5e4: +9cp; Bucket: equal\nCandidate f6g5: -27cp; Bucket: equal\nCandidate b8g8: -46cp; Bucket: equal\nBest: h5g7", "displayed_trace": "Candidate h5g7: +26cp; Bucket: equal\nCandidate b8b6: +18cp; Bucket: equal\nCandidate e5e4: +9cp; Bucket: equal\nCandidate f6g5: -27cp; Bucket: equal\nCandidate b8g8: -46cp; Bucket: equal\nBest: b8b6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h5g7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h5g7."}} {"fen": "2k1r3/pb5p/1p1p2p1/P7/2PQ1R2/1P1P4/1B2q3/R1K5 b - 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- 0 35", "side": "white", "legal_moves": ["e6e8", "e6c8", "e6e7", "e6d7", "e6d6", "e6c6", "e6b6", "e6a6", "e6e5", "e6d5", "e6e4", "e6c4", "e6e3", "e6b3", "e6e2", "e6a2", "g2a8", "g2b7", "g2c6", "g2d5", "g2e4", "g2f3", "g2h1", "g2f1", "g1f2", "g1h1", "g1f1", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "f6g7", "h3h4", "a3a4"], "solution_first_move": "e6e8", "solution_full": ["e6e8", "b8e8", "f7e8q"], "themes": ["advancedPawn", "mate", "mateIn2", "middlegame", "promotion", "short"], "rating": 1421, "puzzle_id": "4Tgtn"} {"fen": "2nK4/P7/4k3/3pP3/3P4/2P5/8/8 b - - 16 77", "side": "black", "legal_moves": ["c8e7", "c8a7", "c8d6", "c8b6", "e6f7", "e6f5"], "solution_first_move": "c8a7", "solution_full": ["c8a7", "d8c7", "a7b5", "c7b6", "b5c3"], "themes": ["crushing", "endgame", "knightEndgame", "long"], "rating": 930, "puzzle_id": "Jo7Uv"} {"fen": "8/8/3k2pp/1p6/4K1PP/1P6/8/8 w - - 1 38", "side": "white", "legal_moves": ["e4f4", "e4d4", "e4f3", "e4e3", "e4d3", "h4h5", "g4g5", "b3b4"], "solution_first_move": "e4d4", "solution_full": ["e4d4", "b5b4", "d4c4", "d6e5", "c4b4"], "themes": ["crushing", "endgame", "long", "pawnEndgame"], "rating": 2001, "puzzle_id": "4SZAO"} {"fen": "r1b2r2/pp3pk1/2np1qp1/2p5/2Pp2N1/3BP2Q/P4PPP/5RK1 w - 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-", "source": "stockfish_multipv", "best_move": "f7g8", "candidate_ratings": [{"uci": "f7g8", "rank": 1, "expectation": 0.7088901725661199, "pv_line": "f7g8 e4f6 g8f7 f6e4 b5d5 e4g5 f7g8 g5e6", "cp": 267}, {"uci": "b5d5", "rank": 2, "expectation": 0.1410414719959747, "pv_line": "b5d5 h5h6 f7g8 e4f6 g8h8 f6d5 h8h7 d5c7", "cp": -542}, {"uci": "g5g4", "rank": 3, "expectation": 0.07265074107181331, "pv_line": "g5g4 g8c8 g4g3 c8c7 f7e8 h2g3 e8d8 c7g7", "cp": -764}, {"uci": "c7c6", "rank": 4, "expectation": 0.07220286797953832, "pv_line": "c7c6 g8a8 b5d5 h5h6 d5f5 e4d6 f7g6 d6f5", "cp": -766}, {"uci": "b5c5", "rank": 5, "expectation": 0.07175754226375133, "pv_line": "b5c5 g8c8 f7e7 e4c5 d6c5 c8c7 e7d6 c7g7", "cp": -768}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "best_line_trace", "best_line_trace": true} {"fen": "4rrk1/1b1n1pp1/pq6/1p1pP1n1/3P4/P1NB4/1P5P/2R2RQK w - - 0 25", "side": "white", "legal_moves": ["d3h7", "d3g6", "d3f5", "d3b5", "d3e4", "d3c4", "d3e2", "d3c2", "d3b1", "c3d5", "c3b5", "c3e4", "c3a4", "c3e2", "c3a2", "c3d1", "c3b1", "h1g2", "g1g5", "g1g4", "g1g3", "g1e3", "g1g2", "g1f2", "f1f7", "f1f6", "f1f5", "f1f4", "f1f3", "f1f2", "f1e1", "f1d1", "c1c2", "c1e1", "c1d1", "c1b1", "c1a1", "e5e6", "a3a4", "h2h3", "b2b3", "h2h4", "b2b4"], "solution_first_move": "g1g5", "solution_full": ["g1g5", "b6d4", "g5f5", "g7g6", "f5d7", "b7c8", "d7d5", "d4d5", "c3d5"], "themes": ["advantage", "middlegame", "veryLong"], "rating": 2413, "puzzle_id": "9v9Fi"} {"fen": "r5k1/p3qpp1/1pp5/2Pp1PpQ/1P1P4/2N4R/P5PP/4R1K1 b - 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Candidate c6c7: +284cp; Bucket: clear advantage\n2. Candidate c6e6: +276cp; Bucket: clear advantage\n3. Candidate c6c8: +252cp; Bucket: clear advantage\n4. Candidate b7b8: +171cp; Bucket: clear advantage\n5. Candidate b7c7: +163cp; Bucket: clear advantage\n6. Best: c6e6", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c6c7.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c6c7: +284cp; Bucket: clear advantage\nCandidate c6e6: +276cp; Bucket: clear advantage\nCandidate c6c8: +252cp; Bucket: clear advantage\nCandidate b7b8: +171cp; Bucket: clear advantage\nCandidate b7c7: +163cp; Bucket: clear advantage\nBest: c6c7", "displayed_trace": "Candidate c6c7: +284cp; Bucket: clear advantage\nCandidate c6e6: +276cp; Bucket: clear advantage\nCandidate c6c8: +252cp; Bucket: clear advantage\nCandidate b7b8: +171cp; Bucket: clear advantage\nCandidate b7c7: +163cp; Bucket: clear advantage\nBest: c6e6", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c6c7.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c6c7."}} {"fen": "8/1k6/1P3p2/p1P1pP1p/p6P/P2K4/8/8 b - 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- 1 20", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "h8h7", "h8h6", "h8h5", "h8h4", "h8h3", "h8h2", "d8g8", "d8f8", "d8e8", "d8d7", "d8d6", "d8d5", "d8d4", "d8d3", "c8b8", "c8d7", "c6e8", "c6d7", "c6d5", "c6b5", "c6e4", "c6a4", "c5f8", "c5e7", "c5d6", "c5b6", "c5d4", "c5b4", "c5e3", "c5f2", "c5g1", "f3g5", "f3h4", "f3d4", "f3h2", "f3d2", "f3g1", "f3e1", "g7g6", "b7b6", "a7a6", "f6f5", "e5e4", "g7g5", "b7b5", "a7a5"], "solution_first_move": "f3h2", "solution_full": ["f3h2"], "themes": ["mate", "mateIn1", "middlegame", "oneMove"], "rating": 975, "puzzle_id": "EgHhL"} {"fen": "1k4rr/pppQ1R2/6p1/2bP4/7q/1P4PP/P5B1/R6K b - - 6 28", "side": "black", "legal_moves": ["h8h7", "h8h6", "h8h5", "g8f8", "g8e8", "g8d8", "g8c8", "g8g7", "b8a8", "c5f8", "c5e7", "c5d6", "c5b6", "c5d4", "c5b4", "c5e3", "c5a3", "c5f2", "c5g1", "h4d8", "h4h7", "h4e7", "h4h6", "h4f6", "h4h5", "h4g5", "h4g4", "h4f4", "h4e4", "h4d4", "h4c4", "h4b4", "h4a4", "h4h3", "h4g3", "c7c6", "b7b6", "a7a6", "g6g5", "b7b5", "a7a5"], "solution_first_move": "h4g3", "solution_full": ["h4g3", "d7c7", "g3c7", "f7c7", "b8c7"], "themes": ["crushing", "long", "middlegame"], "rating": 1825, "puzzle_id": "CorG9"} {"fen": "7q/3Q4/1b1p1pk1/4p1n1/4P1P1/p4PK1/8/1R3B2 b - - 5 59", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8e8", "h8d8", "h8c8", "h8b8", "h8a8", "h8h7", "h8g7", "h8h6", "h8h5", "h8h4", "h8h3", "h8h2", "h8h1", "g6h6", "b6d8", "b6c7", "b6a7", "b6c5", "b6a5", "b6d4", "b6e3", "b6f2", "b6g1", "g5h7", "g5f7", "g5e6", "g5e4", "g5h3", "g5f3", "f6f5", "d6d5", "a3a2"], "solution_first_move": "h8h4", "solution_full": ["h8h4", "g3h4", "b6f2"], "themes": ["attraction", "endgame", "mate", "mateIn2", "sacrifice", "short"], "rating": 2280, "puzzle_id": "IlIuq"} {"fen": "2r1kr2/pp2n2p/q5p1/1Npp4/2PPp1Q1/1P5P/P3KPP1/R6R w - - 1 25", "side": "white", "legal_moves": ["b5c7", "b5a7", "b5d6", "b5c3", "b5a3", "g4c8", "g4d7", "g4g6", "g4e6", "g4h5", "g4g5", "g4f5", "g4h4", "g4f4", "g4e4", "g4g3", "g4f3", "e2e3", "e2d2", "e2f1", "e2e1", "e2d1", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "h1c1", "h1b1", "a1g1", "a1f1", "a1e1", "a1d1", "a1c1", "a1b1", "d4c5", "c4d5", "h3h4", "b3b4", "g2g3", "f2f3", "a2a3", "f2f4", "a2a4"], "solution_first_move": "g4c8", "solution_full": ["g4c8", "e7c8", "b5c7", "e8e7", "c7a6"], "themes": ["crushing", "exposedKing", "fork", "long", "middlegame", "sacrifice"], "rating": 1476, "puzzle_id": "0kN90"} {"fen": "4r1k1/7p/p2p4/2pP4/2P3p1/1P1Q1q2/P4P1P/3R2K1 b - 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- 4 40", "side": "white", "legal_moves": ["a1a2", "a1b1", "b4b5", "f3f4"], "solution_first_move": "a1a2", "solution_full": ["a1a2", "a4b5", "a2a3", "b5a6", "a3a4"], "themes": ["crushing", "defensiveMove", "endgame", "long", "pawnEndgame", "zugzwang"], "rating": 1152, "puzzle_id": "HnUYs"} {"fen": "8/5p2/5rk1/3R3p/6p1/4B1K1/8/8 b - - 3 45", "side": "black", "legal_moves": ["g6h7", "g6g7", "f6e6", "f6d6", "f6c6", "f6b6", "f6a6", "f6f5", "f6f4", "f6f3", "f6f2", "f6f1", "h5h4"], "solution_first_move": "f6f3", "solution_full": ["f6f3", "g3g2", "f3e3"], "themes": ["crushing", "endgame", "fork", "short"], "rating": 796, "puzzle_id": "8X51C"} {"fen": "7r/2p2pk1/p1p3p1/3p1r2/N2P2Q1/P3q1bP/1P4PK/2R2R2 w - - 0 25", "side": "white", "legal_moves": ["h2h1", "g4g3"], "solution_first_move": "g4g3", "solution_full": ["g4g3", "e3g3", "h2g3", "f5f1", "c1f1"], "themes": ["advantage", "long", "middlegame"], "rating": 1095, "puzzle_id": "E0RjU"} {"fen": "r6k/2p4n/p1nbQ3/4p1q1/1P1p2P1/P1pP2B1/2P5/1K5R w - - 3 29", "side": "white", "legal_moves": ["e6g8", "e6e8", "e6c8", "e6f7", "e6e7", "e6d7", "e6h6", "e6g6", "e6f6", "e6d6", "e6f5", "e6e5", "e6d5", "e6c4", "e6b3", "e6a2", "g3e5", "g3h4", "g3f4", "g3h2", "g3f2", "g3e1", "h1h7", "h1h6", "h1h5", "h1h4", "h1h3", "h1h2", "h1g1", "h1f1", "h1e1", "h1d1", "h1c1", "b1a2", "b1a1", "b4b5", "a3a4"], "solution_first_move": "g3h4", "solution_full": ["g3h4", "g5g7", "h4f6", "a8f8", "f6g7"], "themes": ["crushing", "kingsideAttack", "long", "middlegame", "pin"], "rating": 2120, "puzzle_id": "B0J7T"} {"fen": "r2r2k1/5pp1/1q1p1n1p/8/1N1pPP2/6PP/4b1B1/1R1Q1RK1 w - - 0 21", "side": "white", "legal_moves": ["b4c6", "b4a6", "b4d5", "b4d3", "b4c2", "b4a2", "g2f3", "g2h1", "g1h2", "g1f2", "g1h1", "f1f3", "f1f2", "f1e1", "d1d4", "d1a4", "d1d3", "d1b3", "d1e2", "d1d2", "d1c2", "d1e1", "d1c1", "b1b3", "b1b2", "b1c1", "b1a1", "f4f5", "e4e5", "h3h4", "g3g4"], "solution_first_move": "d1e2", "solution_full": ["d1e2", "d4d3", "e2f2"], "themes": ["advantage", "master", "masterVsMaster", "middlegame", "short"], "rating": 1149, "puzzle_id": "4ecBp"} {"fen": "3r1k2/4n3/4P2R/5P2/4K3/8/8/8 w - - 3 61", "side": "white", "legal_moves": ["h6h8", "h6h7", "h6g6", "h6f6", "h6h5", "h6h4", "h6h3", "h6h2", "h6h1", "e4e5", "e4f4", "e4f3", "e4e3", "f5f6"], "solution_first_move": "h6h8", "solution_full": ["h6h8", "e7g8", "f5f6", "d8d1", "f6f7"], "themes": ["advancedPawn", "crushing", "endgame", "long", "pin"], "rating": 2548, "puzzle_id": "9GRgk"} {"fen": "2r4r/1p2p1k1/p2p1np1/3P3p/3RPP2/8/PP1KB1P1/5R2 w - -", "source": "stockfish_multipv", "best_move": "a2a4", "candidate_ratings": [{"uci": "a2a4", "rank": 1, "expectation": 0.51499550161941, "pv_line": "a2a4 h8f8 a4a5 c8c5 b2b4 c5c7 e4e5 f6g4", "cp": 18}, {"uci": "f1e1", "rank": 2, "expectation": 0.5083325618141193, "pv_line": "f1e1 h8f8 e4e5 f6d7 e2f3 d6e5 f4e5 f8f5", "cp": 10}, {"uci": "e4e5", "rank": 3, "expectation": 0.505833068687248, "pv_line": "e4e5 f6d7 f1e1 h8f8 e2f3 b7b5 b2b3 c8c7", "cp": 7}, {"uci": "f1f3", "rank": 4, "expectation": 0.505833068687248, "pv_line": "f1f3 c8c7 f3g3 f6d7 d4b4 h5h4 g3h3 a6a5", "cp": 7}, {"uci": "f1h1", "rank": 5, "expectation": 0.5041665702187286, "pv_line": "f1h1 f6d7 a2a4 g6g5 f4g5 g7g6 a4a5 g6g5", "cp": 5}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate a2a4: +18cp; Bucket: equal\n2. Candidate f1e1: +10cp; Bucket: equal\n3. Candidate e4e5: +7cp; Bucket: equal\n4. Candidate f1f3: +7cp; Bucket: equal\n5. Candidate f1h1: +5cp; Bucket: equal\n6. Best: f1e1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a2a4.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate a2a4: +18cp; Bucket: equal\nCandidate f1e1: +10cp; Bucket: equal\nCandidate e4e5: +7cp; Bucket: equal\nCandidate f1f3: +7cp; Bucket: equal\nCandidate f1h1: +5cp; Bucket: equal\nBest: a2a4", "displayed_trace": "Candidate a2a4: +18cp; Bucket: equal\nCandidate f1e1: +10cp; Bucket: equal\nCandidate e4e5: +7cp; Bucket: equal\nCandidate f1f3: +7cp; Bucket: equal\nCandidate f1h1: +5cp; Bucket: equal\nBest: f1e1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be a2a4.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be a2a4."}} {"fen": "3r2k1/5pp1/p1R1p2p/8/8/P7/1P3PPP/6K1 b - - 0 27", "side": "black", "legal_moves": ["g8h8", "g8f8", "g8h7", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "d8d4", "d8d3", "d8d2", "d8d1", "g7g6", "f7f6", "h6h5", "e6e5", "a6a5", "g7g5", "f7f5"], "solution_first_move": "d8d1", "solution_full": ["d8d1"], "themes": ["backRankMate", "endgame", "mate", "mateIn1", "oneMove", "rookEndgame"], "rating": 595, "puzzle_id": "2KvmC"} {"fen": "1k1r4/pp5p/2p1P1p1/8/4P1P1/PP2PQ2/2p5/2KR4 b - 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Candidate c8f8: M6; Bucket: forced mate\n2. Candidate c8h8: +1080cp; Bucket: decisive\n3. Candidate f2f3: +1056cp; Bucket: decisive\n4. Candidate g2h1: +984cp; Bucket: decisive\n5. Candidate h3h4: +979cp; Bucket: decisive\n6. Best: c8h8", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c8f8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate c8f8: M6; Bucket: forced mate\nCandidate c8h8: +1080cp; Bucket: decisive\nCandidate f2f3: +1056cp; Bucket: decisive\nCandidate g2h1: +984cp; Bucket: decisive\nCandidate h3h4: +979cp; Bucket: decisive\nBest: c8f8", "displayed_trace": "Candidate c8f8: M6; Bucket: forced mate\nCandidate c8h8: +1080cp; Bucket: decisive\nCandidate f2f3: +1056cp; Bucket: decisive\nCandidate g2h1: +984cp; Bucket: decisive\nCandidate h3h4: +979cp; Bucket: decisive\nBest: c8h8", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be c8f8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be c8f8."}} {"fen": "8/pp3p1k/4pp1p/7P/3NN3/3KP1R1/r5P1/3r4 w - 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-", "best_move": "a1f1", "pv_line": "a1f1 g7f7 e8f8 c5f8 h6f8 f7f1 g1f1 g8f8 f1e2 c4b2", "depth": 55, "knodes": 76736, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "1qb5/1p2bpk1/2n1p1p1/rN1pP1N1/p1nP1P1r/P2B4/1BR3PP/4Q1K1 w - - 0 28", "side": "white", "legal_moves": ["g5h7", "g5f7", "g5e6", "g5e4", "g5h3", "g5f3", "b5c7", "b5a7", "b5d6", "b5c3", "d3g6", "d3f5", "d3e4", "d3c4", "d3e2", "d3f1", "c2c4", "c2c3", "c2f2", "c2e2", "c2d2", "c2c1", "b2c3", "b2c1", "b2a1", "g1f2", "g1h1", "g1f1", "e1a5", "e1h4", "e1e4", "e1b4", "e1g3", "e1e3", "e1c3", "e1f2", "e1e2", "e1d2", "e1f1", "e1d1", "e1c1", "e1b1", "e1a1", "f4f5", "h2h3", "g2g3", "g2g4"], "solution_first_move": "e1h4", "solution_full": ["e1h4", "e7g5", "f4g5"], "themes": ["crushing", "master", "middlegame", "short"], "rating": 1759, "puzzle_id": "HoAyf"} {"fen": "2r3rk/1b4pn/pqn4N/1p6/5B2/P7/1PP2PPP/R3R1K1 w - - 0 24", "side": "white", "legal_moves": ["h6g8", "h6f7", "h6f5", "h6g4", "f4b8", "f4c7", "f4d6", "f4g5", "f4e5", "f4g3", "f4e3", "f4d2", "f4c1", "g1h1", "g1f1", "e1e8", "e1e7", "e1e6", "e1e5", "e1e4", "e1e3", "e1e2", "e1f1", "e1d1", "e1c1", "e1b1", "a1a2", "a1d1", "a1c1", "a1b1", "a3a4", "h2h3", "g2g3", "c2c3", "b2b3", "h2h4", "g2g4", "c2c4", "b2b4"], "solution_first_move": "h6f7", "solution_full": ["h6f7"], "themes": ["mate", "mateIn1", "middlegame", "oneMove", "smotheredMate"], "rating": 775, "puzzle_id": "DtxnN"} {"fen": "4k2r/1pq2pp1/p1r1pnp1/3p4/1P1P2P1/2N2Q2/1PPB1P1P/R4RK1 b k - 0 16", "side": "black", "legal_moves": ["h8g8", "h8f8", "h8h7", "h8h6", "h8h5", "h8h4", "h8h3", "h8h2", "e8f8", "e8d8", "e8e7", "e8d7", "c7d8", "c7c8", "c7b8", "c7e7", "c7d7", "c7d6", "c7b6", "c7e5", "c7a5", "c7f4", "c7g3", "c7h2", "f6g8", "f6h7", "f6d7", "f6h5", "f6g4", "f6e4", "c6d6", "c6b6", "c6c5", "c6c4", "c6c3", "e8g8", "b7b6", "g6g5", "e6e5", "a6a5", "b7b5"], "solution_first_move": "c7h2", "solution_full": ["c7h2"], "themes": ["kingsideAttack", "mate", "mateIn1", "middlegame", "oneMove"], "rating": 801, "puzzle_id": "5T0Rs"} {"fen": "8/p3Q3/6pk/3pb2p/5q2/8/Pr4PP/4RBK1 w - - 4 35", "side": "white", "legal_moves": ["e7f8", "e7e8", "e7d8", "e7h7", "e7g7", "e7f7", "e7d7", "e7c7", "e7b7", "e7a7", "e7f6", "e7e6", "e7d6", "e7g5", "e7e5", "e7c5", "e7h4", "e7b4", "e7a3", "g1h1", "f1a6", "f1b5", "f1c4", "f1d3", "f1e2", "e1e5", "e1e4", "e1e3", "e1e2", "e1d1", "e1c1", "e1b1", "e1a1", "h2h3", "g2g3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "e7e5", "solution_full": ["e7e5", "f4e5", "e1e5"], "themes": ["advantage", "endgame", "short"], "rating": 1637, "puzzle_id": "EZ4Zf"} {"fen": "5r1k/pp2P1pp/8/2N5/2Q3K1/2P3P1/PP5q/R3R3 b - - 0 29", "side": "black", "legal_moves": ["f8g8", "f8e8", "f8d8", "f8c8", "f8b8", "f8a8", "f8f7", "f8f6", "f8f5", "f8f4", "f8f3", "f8f2", "f8f1", "h2h6", "h2h5", "h2h4", "h2h3", "h2g3", "h2g2", "h2f2", "h2e2", "h2d2", "h2c2", "h2b2", "h2h1", "h2g1", "h7h6", "g7g6", "b7b6", "a7a6", "h7h5", "g7g5", "b7b5", "a7a5"], "solution_first_move": "h7h5", "solution_full": ["h7h5", "g4g5", "h2g3", "c4g4", "g3g4"], "themes": ["deflection", "endgame", "long", "mate", "mateIn3"], "rating": 1355, "puzzle_id": "J2Chg"} {"fen": "r6r/1ppq1kbp/3n4/2pPp1PR/p1P1Pp2/2N2P2/PPQN1K2/R7 b - -", "source": "stockfish_multipv", "best_move": "f7g6", "candidate_ratings": [{"uci": "f7g6", "rank": 1, "expectation": 0.4329070950345457, "pv_line": "f7g6 a1h1 d6f7 c2b1 f7g5 f2e2 h7h6 b1g1", "cp": -81}, {"uci": "a4a3", "rank": 2, "expectation": 0.4149999984627062, "pv_line": "a4a3 a1h1 f7g6 f2e2 d6f7 b2b3 f7g5 c2d1", "cp": -103}, {"uci": "h7h6", "rank": 3, "expectation": 0.3775406687981454, "pv_line": "h7h6 g5h6 h8h6 h5h6 g7h6 a1h1 h6g7 c2d1", "cp": -150}, {"uci": "f7e8", "rank": 4, "expectation": 0.37597526117307534, "pv_line": "f7e8 f2e2 d6f7 a1h1 e8d8 h5h7 h8h7 h1h7", "cp": -152}, {"uci": "g7f8", "rank": 5, "expectation": 0.37363200827185195, "pv_line": "g7f8 a1h1 f7g6 c2d1 a4a3 b2b3 d6f7 d1g1", "cp": -155}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "candidate_ratings"} {"fen": "r4rk1/pb3q2/1p2N2p/7Q/8/3p4/1B1b1PPP/4RRK1 w - - 1 27", "side": "white", "legal_moves": ["e6f8", "e6d8", "e6g7", "e6c7", "e6g5", "e6c5", "e6f4", "e6d4", "h5f7", "h5h6", "h5g6", "h5g5", "h5f5", "h5e5", "h5d5", "h5c5", "h5b5", "h5a5", "h5h4", "h5g4", "h5h3", "h5f3", "h5e2", "h5d1", "b2h8", "b2g7", "b2f6", "b2e5", "b2d4", "b2c3", "b2a3", "b2c1", "b2a1", "g1h1", "e1e5", "e1e4", "e1e3", "e1e2", "e1d1", "e1c1", "e1b1", "e1a1", "h2h3", "g2g3", "f2f3", "h2h4", "g2g4", "f2f4"], "solution_first_move": "h5g4", "solution_full": ["h5g4", "g8h7", "e6f8", "a8f8", "g4d4", "d2e1", "f1e1", "d3d2", "d4d2"], "themes": ["crushing", "exposedKing", "master", "middlegame", "veryLong"], "rating": 2779, "puzzle_id": "9REWa"} {"fen": "2r3k1/pp1bpp1p/q2p1npQ/8/2r1P1PP/1NN2P2/PPP5/2KR3R w - -", "source": "stockfish_multipv", "best_move": "h4h5", "candidate_ratings": [{"uci": "h4h5", "rank": 1, "expectation": 0.6002883393736858, "pv_line": "h4h5 c4c3 b2c3 c8c3 c1b1 a6e2 h5g6 f7g6", "cp": 122}, {"uci": "d1d3", "rank": 2, "expectation": 0.5954800102837483, "pv_line": "d1d3 c4c3 d3c3 c8c3 b2c3 a6e2 b3d4 e2c4", "cp": 116}, {"uci": "c1b1", "rank": 3, "expectation": 0.5809481051484585, "pv_line": "c1b1 d7g4 f3g4 c4c3 b2c3 f6e4 d1d3 e4c3", "cp": 98}, {"uci": "h6e3", "rank": 4, "expectation": 0.5629967770624005, "pv_line": "h6e3 b7b5 c1b1 b5b4 c3d5 f6d5 e4d5 c4c2", "cp": 76}, {"uci": "e4e5", "rank": 5, "expectation": 0.5523079095743253, "pv_line": "e4e5 d6e5 h4h5 a6e6 c1b1 b7b5 h5g6 f7g6", "cp": 63}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate h4h5: +122cp; Bucket: slight edge\n2. Candidate d1d3: +116cp; Bucket: slight edge\n3. Candidate c1b1: +98cp; Bucket: slight edge\n4. Candidate h6e3: +76cp; Bucket: slight edge\n5. Candidate e4e5: +63cp; Bucket: slight edge\n6. Best: d1d3", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h4h5.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate h4h5: +122cp; Bucket: slight edge\nCandidate d1d3: +116cp; Bucket: slight edge\nCandidate c1b1: +98cp; Bucket: slight edge\nCandidate h6e3: +76cp; Bucket: slight edge\nCandidate e4e5: +63cp; Bucket: slight edge\nBest: h4h5", "displayed_trace": "Candidate h4h5: +122cp; Bucket: slight edge\nCandidate d1d3: +116cp; Bucket: slight edge\nCandidate c1b1: +98cp; Bucket: slight edge\nCandidate h6e3: +76cp; Bucket: slight edge\nCandidate e4e5: +63cp; Bucket: slight edge\nBest: d1d3", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be h4h5.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be h4h5."}} {"fen": "2r5/8/8/4K3/8/8/6k1/4R3 b - - 66 82", "side": "black", "legal_moves": ["c8h8", "c8g8", "c8f8", "c8e8", "c8d8", "c8b8", "c8a8", "c8c7", "c8c6", "c8c5", "c8c4", "c8c3", "c8c2", "c8c1", "g2h3", "g2g3", "g2f3", "g2h2", "g2f2"], "solution_first_move": "c8e8", "solution_full": ["c8e8", "e5d5", "e8e1"], "themes": ["crushing", "endgame", "rookEndgame", "short", "skewer"], "rating": 1028, "puzzle_id": "DKZh7"} {"fen": "3rkbnr/RQp2ppp/3p4/8/4P3/1P4B1/1qP3PP/1N2K2R b Kk - 0 13", "side": "black", "legal_moves": ["g8e7", "g8h6", "g8f6", "f8e7", "e8e7", "e8d7", "d8c8", "d8b8", "d8a8", "d8d7", "b2f6", "b2e5", "b2d4", "b2c3", "b2b3", "b2a3", "b2c2", "b2a2", "b2c1", "b2b1", "b2a1", "h7h6", "g7g6", "f7f6", "c7c6", "d6d5", "h7h5", "g7g5", "f7f5", "c7c5"], "solution_first_move": "b2b1", "solution_full": ["b2b1", "e1d2", "b1h1", "b7c6", "d8d7"], "themes": ["crushing", "hangingPiece", "long", "middlegame", "skewer"], "rating": 1904, "puzzle_id": "Hdx50"} {"fen": "r1r4k/p1q2ppp/1p3n2/8/3QnP2/4PP1P/P1p1B3/B2RK1R1 w - - 0 23", "side": "white", "legal_moves": ["d4d8", "d4d7", "d4f6", "d4d6", "d4b6", "d4e5", "d4d5", "d4c5", "d4e4", "d4c4", "d4b4", "d4a4", "d4d3", "d4c3", "d4d2", "d4b2", "e2a6", "e2b5", "e2c4", "e2d3", "e2f1", "g1g7", "g1g6", "g1g5", "g1g4", "g1g3", "g1g2", "g1h1", "g1f1", "e1f1", "d1d3", "d1d2", "d1c1", "d1b1", "a1c3", "a1b2", "f3e4", "f4f5", "h3h4", "a2a3", "a2a4"], "solution_first_move": "d1c1", "solution_full": ["d1c1", "e4g3", "g1g3"], "themes": ["crushing", "middlegame", "short"], "rating": 1577, "puzzle_id": "ADE9W"} {"fen": "5k2/4q3/p4p2/1p3Q1P/2p5/2P5/P4PP1/6K1 b - - 0 38", "side": "black", "legal_moves": ["f8g8", "f8e8", "f8g7", "f8f7", "e7e8", "e7d8", "e7h7", "e7g7", "e7f7", "e7d7", "e7c7", "e7b7", "e7a7", "e7e6", "e7d6", "e7e5", "e7c5", "e7e4", "e7b4", "e7e3", "e7a3", "e7e2", "e7e1", "a6a5", "b5b4"], "solution_first_move": "e7e1", "solution_full": ["e7e1", "g1h2", "e1e5", "f5e5", "f6e5", "a2a3", "a6a5", "h2g3", "b5b4", "a3b4", "a5b4", "c3b4", "c4c3"], "themes": ["crushing", "endgame", "queenEndgame", "quietMove", "veryLong"], "rating": 1978, "puzzle_id": "KZP0E"} {"fen": "3Q1Q2/7k/6p1/7p/7r/6qP/6P1/6RK b - - 0 50", "side": "black", "legal_moves": ["h4g4", "h4f4", "h4e4", "h4d4", "h4c4", "h4b4", "h4a4", "h4h3", "g3b8", "g3c7", "g3d6", "g3g5", "g3e5", "g3g4", "g3f4", "g3h3", "g3f3", "g3e3", "g3d3", "g3c3", "g3b3", "g3a3", "g3h2", "g3g2", "g3f2", "g3e1", "g6g5"], "solution_first_move": "h4h3", "solution_full": ["h4h3", "g2h3", "g3h3"], "themes": ["endgame", "mate", "mateIn2", "sacrifice", "short"], "rating": 991, "puzzle_id": "0ACMH"} {"fen": "1rbq1rk1/2p2ppp/3p1nn1/3Pp3/2B1P3/4PN2/1P1N2PP/R3QRK1 w - -", "source": "stockfish_multipv", "best_move": "e1b1", "candidate_ratings": [{"uci": "e1b1", "rank": 1, "expectation": 0.48583712301149196, "pv_line": "e1b1 c8d7 b2b4 c7c6 d5c6 d7c6 b4b5 c6b5", "cp": -17}, {"uci": "e1c1", "rank": 2, "expectation": 0.47834688488309984, "pv_line": "e1c1 g6e7 c1c3 c8d7 c3a3 b8a8 a3c3 c7c6", "cp": -26}, {"uci": "b2b3", "rank": 3, "expectation": 0.47252769565540637, "pv_line": "b2b3 g6e7 e1e2 c7c6 d5c6 e7c6 h2h3 h7h6", "cp": -33}, {"uci": "a1a3", "rank": 4, "expectation": 0.46174159544398685, "pv_line": "a1a3 c8d7 e1c1 g6e7 c1c3 h7h6 b2b3 c7c6", "cp": -46}, {"uci": "a1a2", "rank": 5, "expectation": 0.4609132475336044, "pv_line": "a1a2 g6e7 h2h3 c7c6 d5c6 e7c6 e1g3 c6a5", "cp": -47}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate e1b1: -17cp; Bucket: equal\n2. Candidate e1c1: -26cp; Bucket: equal\n3. Candidate b2b3: -33cp; Bucket: equal\n4. Candidate a1a3: -46cp; Bucket: equal\n5. Candidate a1a2: -47cp; Bucket: equal\n6. Best: e1c1", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e1b1.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate e1b1: -17cp; Bucket: equal\nCandidate e1c1: -26cp; Bucket: equal\nCandidate b2b3: -33cp; Bucket: equal\nCandidate a1a3: -46cp; Bucket: equal\nCandidate a1a2: -47cp; Bucket: equal\nBest: e1b1", "displayed_trace": "Candidate e1b1: -17cp; Bucket: equal\nCandidate e1c1: -26cp; Bucket: equal\nCandidate b2b3: -33cp; Bucket: equal\nCandidate a1a3: -46cp; Bucket: equal\nCandidate a1a2: -47cp; Bucket: equal\nBest: e1c1", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be e1b1.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be e1b1."}} {"fen": "1r3k2/7Q/5qp1/2p5/pP1pR3/P1P4P/5PP1/6K1 b - -", "source": "stockfish_multipv", "best_move": "b8c8", "candidate_ratings": [{"uci": "b8c8", "rank": 1, "expectation": 0.15621470904085996, "pv_line": "b8c8 h7d7 c8d8 d7c7 f8g8 c3d4 c5b4 c7c4", "cp": -506}, {"uci": "f6f5", "rank": 2, "expectation": 0.1557758401237474, "pv_line": "f6f5 f2f3 d4c3 h7h8 f8f7 h8b8 f5e4 f3e4", "cp": -507}, {"uci": "d4c3", "rank": 3, "expectation": 0.1510144463942, "pv_line": "d4c3 h7c7 b8b5 e4f4 f6f4 c7f4 f8g8 f4c4", "cp": -518}, {"uci": "f6d6", "rank": 4, "expectation": 0.14889003400119522, "pv_line": "f6d6 c3d4 c5d4 g2g3 d4d3 e4f4 d6f4 g3f4", "cp": -523}, {"uci": "c5b4", "rank": 5, "expectation": 0.13943387296165005, "pv_line": "c5b4 h7c7 b8b6 e4d4 f6d4 c3d4 f8g8 a3b4", "cp": -546}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b8c8: -506cp; Bucket: winning\n2. Candidate f6f5: -507cp; Bucket: winning\n3. Candidate d4c3: -518cp; Bucket: winning\n4. Candidate f6d6: -523cp; Bucket: winning\n5. Candidate c5b4: -546cp; Bucket: winning\n6. Best: f6f5", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b8c8.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b8c8: -506cp; Bucket: winning\nCandidate f6f5: -507cp; Bucket: winning\nCandidate d4c3: -518cp; Bucket: winning\nCandidate f6d6: -523cp; Bucket: winning\nCandidate c5b4: -546cp; Bucket: winning\nBest: b8c8", "displayed_trace": "Candidate b8c8: -506cp; Bucket: winning\nCandidate f6f5: -507cp; Bucket: winning\nCandidate d4c3: -518cp; Bucket: winning\nCandidate f6d6: -523cp; Bucket: winning\nCandidate c5b4: -546cp; Bucket: winning\nBest: f6f5", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b8c8.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b8c8."}} {"fen": "rnbqkb1r/pp2pppp/1n6/2p5/8/1BNP4/PPP2PPP/R1BQK1NR b KQkq -", "best_move": "b8c6", "pv_line": "b8c6 d1f3 e7e6 g1e2 f8d6 c1f4 d6f4 f3f4 e8g8 e1c1", "depth": 32, "knodes": 74549, "cp": 29, "mate": null, "eval_perspective": "white"} {"fen": "3r1r1k/p5qp/1p1NR3/5p1p/2PQ4/1P6/P4PPP/6K1 w - - 0 29", "side": "white", "legal_moves": ["e6e8", "e6e7", "e6h6", "e6g6", "e6f6", "e6e5", "e6e4", "e6e3", "e6e2", "e6e1", "d6e8", "d6c8", "d6f7", "d6b7", "d6f5", "d6b5", "d6e4", "d4g7", "d4f6", "d4b6", "d4e5", "d4d5", "d4c5", "d4h4", "d4g4", "d4f4", "d4e4", "d4e3", "d4d3", "d4c3", "d4d2", "d4b2", "d4d1", "d4a1", "g1h1", "g1f1", "c4c5", "b3b4", "h2h3", "g2g3", "f2f3", "a2a3", "h2h4", "g2g4", "f2f4", "a2a4"], "solution_first_move": "d6f7", "solution_full": ["d6f7", "h8g8", "d4g7", "g8g7", "f7d8"], "themes": ["crushing", "endgame", "long", "master", "pin"], "rating": 1964, "puzzle_id": "AtyHa"} {"fen": "r1bqkb1r/p2ppppp/2p2n2/8/4P3/3B4/PPP2PPP/RNBQK2R b KQkq -", "best_move": "e7e5", "pv_line": "e7e5 e1g1 f8e7 d1e2 e8g8 h2h3 a8b8 f1d1 d8c7 d1e1", "depth": 39, "knodes": 410146, "cp": 0, "mate": null, "eval_perspective": "white"} {"fen": "3R4/8/p7/1p1P2k1/1r2K3/8/8/8 w - - 0 41", "side": "white", "legal_moves": ["e4e5", "e4f3", "e4e3", "e4d3"], "solution_first_move": "e4e5", "solution_full": ["e4e5", "b4b1", "d8g8", "g5h6", "d5d6"], "themes": ["crushing", "defensiveMove", "endgame", "long", "rookEndgame"], "rating": 2097, "puzzle_id": "AIurN"} {"fen": "k6r/p1QP4/1p2p2r/5p2/2P5/6P1/4q2P/5RK1 w - - 0 39", "side": "white", "legal_moves": ["c7d8", "c7c8", "c7b8", "c7b7", "c7a7", "c7d6", "c7c6", "c7b6", "c7e5", "c7c5", "c7f4", "g1h1", "f1f5", "f1f4", "f1f3", "f1f2", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "d7d8q", "d7d8r", "d7d8b", "d7d8n", "c4c5", "g3g4", "h2h3", "h2h4"], "solution_first_move": "c7c8", "solution_full": ["c7c8", "h8c8", "d7c8q"], "themes": ["advancedPawn", "endgame", "mate", "mateIn2", "promotion", "short"], "rating": 1406, "puzzle_id": "1wILA"} {"fen": "4rrk1/7p/7Q/1p1pBqp1/2p2P2/2P5/PP4P1/3R2K1 w - - 2 43", "side": "white", "legal_moves": ["h6f8", "h6h7", "h6g7", "h6g6", "h6f6", "h6e6", "h6d6", "h6c6", "h6b6", "h6a6", "h6h5", "h6g5", "h6h4", "h6h3", "h6h2", "h6h1", "e5h8", "e5b8", "e5g7", "e5c7", "e5f6", "e5d6", "e5d4", "g1h2", "g1f2", "g1h1", "g1f1", "d1d5", "d1d4", "d1d3", "d1d2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1", "f4g5", "g2g3", "b2b3", "a2a3", "g2g4", "b2b4", "a2a4"], "solution_first_move": "h6g7", "solution_full": ["h6g7"], "themes": ["endgame", "master", "mate", "mateIn1", "oneMove"], "rating": 801, "puzzle_id": "2VoPR"} {"fen": "R2R1bk1/4pp1p/1p4p1/1N3n2/8/5PPb/PP2PK1P/2r5 b - - 4 25", "side": "black", "legal_moves": ["g8h8", "g8g7", "f5g7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "h3g4", "h3g2", "h3f1", "c1c8", "c1c7", "c1c6", "c1c5", "c1c4", "c1c3", "c1c2", "c1h1", "c1g1", "c1f1", "c1e1", "c1d1", "c1b1", "c1a1", "h7h6", "f7f6", "e7e6", "g6g5", "h7h5", "e7e5"], "solution_first_move": "c1f1", "solution_full": ["c1f1"], "themes": ["master", "mate", "mateIn1", "middlegame", "oneMove", "operaMate"], "rating": 597, "puzzle_id": "1ew56"} {"fen": "5rnr/1p1b2b1/p2p2kp/q2Pp3/4P3/2N1BQ2/PP4PP/2R2RK1 w - - 2 20", "side": "white", "legal_moves": ["f3f8", "f3f7", "f3f6", "f3h5", "f3f5", "f3g4", "f3f4", "f3h3", "f3g3", "f3f2", "f3e2", "f3d1", "e3a7", "e3h6", "e3b6", "e3g5", "e3c5", "e3f4", "e3d4", "e3f2", "e3d2", "c3b5", "c3a4", "c3e2", "c3d1", "c3b1", "g1f2", "g1h1", "f1f2", "f1e1", "f1d1", "c1c2", "c1e1", "c1d1", "c1b1", "c1a1", "h2h3", "g2g3", "b2b3", "a2a3", "h2h4", "g2g4", "b2b4", "a2a4"], "solution_first_move": "f3g3", "solution_full": ["f3g3", "g6h7", "f1f8", "g7f8", "c1f1"], "themes": ["clearance", "crushing", "discoveredAttack", "long", "middlegame"], "rating": 1754, "puzzle_id": "AlspX"} {"fen": "2r1k2r/1b2bpp1/pB5p/3n1P2/qpB1Q3/1P6/P1P3PP/1K2R3 w k - 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- 1 44", "side": "black", "legal_moves": ["g8h8", "g8f8", "d8f8", "d8e8", "d8c8", "d8b8", "d8a8", "d8d7", "d8d6", "d8d5", "c7c8", "c7b8", "c7f7", "c7e7", "c7d7", "c7b7", "c7a7", "c7d6", "c7c6", "c7b6", "c7e5", "c7a5", "f6e8", "f6h7", "f6d7", "f6h5", "f6d5", "f6g4", "f6e4", "d4c6", "d4f5", "d4b5", "d4f3", "d4b3", "d4e2", "d4c2", "c4c3", "b4b3"], "solution_first_move": "d4e2", "solution_full": ["d4e2", "g1h2", "e2f4"], "themes": ["crushing", "kingsideAttack", "master", "middlegame", "short"], "rating": 1199, "puzzle_id": "3XqsH"} {"fen": "8/B7/8/6PK/8/4Nk1p/8/8 b - - 0 54", "side": "black", "legal_moves": ["f3f4", "f3e4", "f3g3", "f3f2", "f3e2", "h3h2"], "solution_first_move": "h3h2", "solution_full": ["h3h2", "h5g6", "h2h1q"], "themes": ["advancedPawn", "crushing", "endgame", "promotion", "short"], "rating": 943, "puzzle_id": "Fkm3e"} {"fen": "r1b2r2/1p4k1/2pb4/p2p1p1p/P2P1PpP/1R1Nq1P1/1P3RB1/3Q2K1 w - - 0 28", "side": "white", "legal_moves": ["d3e5", "d3c5", "d3b4", "d3e1", "d3c1", "b3b7", "b3b6", "b3b5", "b3b4", "b3c3", "b3a3", "g2d5", "g2e4", "g2h3", "g2f3", "g2h1", "g2f1", "g1h2", "g1h1", "g1f1", "d1g4", "d1f3", "d1e2", "d1d2", "d1c2", "d1f1", "d1e1", "d1c1", "d1b1", "d1a1"], "solution_first_move": "d3e5", "solution_full": ["d3e5", "e3f2", "g1f2"], "themes": ["crushing", "middlegame", "short", "trappedPiece"], "rating": 1389, "puzzle_id": "2H4Bp"} {"fen": "r1r3k1/pp3pp1/4q2p/3pP3/4bP2/1B6/PP1Q2PP/2R1R1K1 w - 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-", "source": "stockfish_multipv", "best_move": "b8c6", "candidate_ratings": [{"uci": "b8c6", "rank": 1, "expectation": 0.610639233949222, "pv_line": "b8c6 d4c6 b7c6 h2h3 f8e8 d2c3 e8e3 f2e3", "cp": 135}, {"uci": "c8d7", "rank": 2, "expectation": 0.5736274542763555, "pv_line": "c8d7 f1g1 f8c8 b1c3 b8c6 d4f3 d7g4 h2h4", "cp": 89}, {"uci": "f8e8", "rank": 3, "expectation": 0.5719961329315186, "pv_line": "f8e8 d2b4 a5b4 b1d2 b8c6 d2b3 c6e5 h2h3", "cp": 87}, {"uci": "h7h5", "rank": 4, "expectation": 0.5703632448561154, "pv_line": "h7h5 b1c3 b8c6 c3e2 c6d4 e2d4 b4c5 d2c3", "cp": 85}, {"uci": "h7h6", "rank": 5, "expectation": 0.5621765008857981, "pv_line": "h7h6 b1c3 b8c6 c3e2 b6a6 f1g1 c8g4 d2c3", "cp": 75}], "multipv_depth": 18, "multipv_k": 5, "pv_len": 8, "is_chess960": false, "task_type": "step_verification", "verification_trace": "1. Candidate b8c6: +135cp; Bucket: slight edge\n2. Candidate c8d7: +89cp; Bucket: slight edge\n3. Candidate f8e8: +87cp; Bucket: slight edge\n4. Candidate h7h5: +85cp; Bucket: slight edge\n5. Candidate h7h6: +75cp; Bucket: slight edge\n6. Best: c8d7", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b8c6.", "metadata": {"source": "step_verification", "source_task": "7.8_candidate_ratings", "source_trace": "Candidate b8c6: +135cp; Bucket: slight edge\nCandidate c8d7: +89cp; Bucket: slight edge\nCandidate f8e8: +87cp; Bucket: slight edge\nCandidate h7h5: +85cp; Bucket: slight edge\nCandidate h7h6: +75cp; Bucket: slight edge\nBest: b8c6", "displayed_trace": "Candidate b8c6: +135cp; Bucket: slight edge\nCandidate c8d7: +89cp; Bucket: slight edge\nCandidate f8e8: +87cp; Bucket: slight edge\nCandidate h7h5: +85cp; Bucket: slight edge\nCandidate h7h6: +75cp; Bucket: slight edge\nBest: c8d7", "corruption_kind": "candidate_rating_wrong_best", "difficulty": "hard", "verification_verdict": "broken", "faulty_line": 6, "error_type": "wrong_best", "correction": "Best should be b8c6.", "expected_answer": "Verdict: broken\nFaulty line: 6\nError type: wrong_best\nCorrection: Best should be b8c6."}} {"fen": "4r1k1/5p1p/6pb/p1Pq4/1p1P4/3QP3/3B2PP/5R1K w - - 1 35", "side": "white", "legal_moves": ["d3g6", "d3a6", "d3f5", "d3b5", "d3e4", "d3c4", "d3c3", "d3b3", "d3a3", "d3e2", "d3c2", "d3b1", "d2b4", "d2c3", "d2e1", "d2c1", "h1g1", "f1f7", "f1f6", "f1f5", "f1f4", "f1f3", "f1f2", "f1g1", "f1e1", "f1d1", "f1c1", "f1b1", "f1a1", "c5c6", "e3e4", "h2h3", "h2h4"], "solution_first_move": "e3e4", "solution_full": ["e3e4", "d5e4", "d3e4", "e8e4", "d2h6"], "themes": ["crushing", "endgame", "long"], "rating": 1388, "puzzle_id": "E2s3z"} {"fen": "4r2k/1b4p1/6pp/p1N1P3/2Qp4/1P3q2/P5KP/R3R3 w - -", "best_move": "g2g1", "pv_line": "g2g1 f3g2", "depth": 245, "knodes": 16, "cp": null, "mate": -1, "eval_perspective": "white"} {"fen": "8/4pp2/pN1p4/1p1Pk1p1/4P1P1/P3K2P/1Pb5/8 w - - 2 42", "side": "white", "legal_moves": ["b6c8", "b6a8", "b6d7", "b6c4", "b6a4", "e3f3", "e3f2", "e3e2", "e3d2", "h3h4", "a3a4", "b2b3", "b2b4"], "solution_first_move": "b6d7", "solution_full": ["b6d7"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 839, "puzzle_id": "21YNJ"} {"fen": "r2q1rk1/pp2bppp/4pn2/2pP1b2/5B2/2P2N2/P1PQBPPP/R4RK1 w - - 1 12", "side": "white", "legal_moves": ["f4b8", "f4c7", "f4h6", "f4d6", "f4g5", "f4e5", "f4g3", "f4e3", "f3g5", "f3e5", "f3h4", "f3d4", "f3e1", "e2a6", "e2b5", "e2c4", "e2d3", "e2d1", "d2d4", "d2e3", "d2d3", "d2e1", "d2d1", "d2c1", "g1h1", "f1e1", "f1d1", "f1c1", "f1b1", "a1e1", "a1d1", "a1c1", "a1b1", "d5e6", "d5d6", "c3c4", "h2h3", "g2g3", "a2a3", "h2h4", "g2g4", "a2a4"], "solution_first_move": "d5d6", "solution_full": ["d5d6", "e7d6", "d2d6"], "themes": ["advantage", "middlegame", "short"], "rating": 2002, "puzzle_id": "B5zLc"} {"fen": "r4rk1/pp1b1ppp/2pq1n2/8/2BP4/2R2N1P/PP3PP1/1Q2R1K1 w - -", "best_move": "c3e3", "pv_line": "c3e3 b7b5 c4b3 a7a5 a2a3 a8e8 e3e5 a5a4 b3a2 b5b4", "depth": 32, "knodes": 46631, "cp": 31, "mate": null, "eval_perspective": "white"} {"fen": "5k2/5pp1/2R5/p4N1p/5P2/3n4/1r5P/6K1 w - - 4 45", "side": "white", "legal_moves": ["c6c8", "c6c7", "c6h6", "c6g6", "c6f6", "c6e6", "c6d6", "c6b6", "c6a6", "c6c5", "c6c4", "c6c3", "c6c2", "c6c1", "f5g7", "f5e7", "f5h6", "f5d6", "f5h4", "f5d4", "f5g3", "f5e3", "g1h1", "g1f1", "h2h3", "h2h4"], "solution_first_move": "c6c8", "solution_full": ["c6c8"], "themes": ["endgame", "mate", "mateIn1", "oneMove"], "rating": 600, "puzzle_id": "7H0hk"}