Analysis of xx-mith-te3-00098475-base.sdk
Contents
Original Sudoku
level: medium
position: 1.3....89.5.789....8.......2..54.9.8...........4.28.75.4..95..2...87..94.9.2.4.5. initial
Autosolve
position: 1.3....89.5.789....89......2..54.9.8...9.....9.4.28.75.4..95..2...87..94.9.2.4.5. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # A3: 7 => SOL * PRF # B1: 2,6 => SOL * PRF # B1: 2,6 => SOL * CNT 3 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # A3: 7 => SOL * STA A3: 7 * CNT 1 HDP CHAINS / 2 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3....89.5.789....8.......2..54.9.8...........4.28.75.4..95..2...87..94.9.2.4.5. | initial |
| 1.3....89.5.789....89......2..54.9.8...9.....9.4.28.75.4..95..2...87..94.9.2.4.5. | autosolve |
| 123456789456789231789132546231547968875961423964328175347695812512873694698214357 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (10) A2: 4,6 C2: 2,6 D1: 4,6 E1: 5,6 F1: 2,6 I3: 6,7 A5: 5,8 C5: 5,8 G5: 2,4 H5: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,C2: 2.. / B1 = 2 => 0 pairs (*) / C2 = 2 => 0 pairs (X) F1,F3: 2.. / F1 = 2 => 10 pairs (_) / F3 = 2 => 13 pairs (_) G5,H5: 2.. / G5 = 2 => 9 pairs (_) / H5 = 2 => 11 pairs (_) B8,C8: 2.. / B8 = 2 => 11 pairs (_) / C8 = 2 => 0 pairs (*) B1,B8: 2.. / B1 = 2 => 0 pairs (*) / B8 = 2 => 0 pairs (X) C2,C8: 2.. / C2 = 2 => 11 pairs (_) / C8 = 2 => 0 pairs (*) A2,A3: 4.. / A2 = 4 => 12 pairs (_) / A3 = 4 => 10 pairs (_) D1,D3: 4.. / D1 = 4 => 9 pairs (_) / D3 = 4 => 9 pairs (_) G5,H5: 4.. / G5 = 4 => 11 pairs (_) / H5 = 4 => 9 pairs (_) D1,G1: 4.. / D1 = 4 => 9 pairs (_) / G1 = 4 => 9 pairs (_) E1,E3: 5.. / E1 = 5 => 9 pairs (_) / E3 = 5 => 12 pairs (_) G1,G3: 5.. / G1 = 5 => 12 pairs (_) / G3 = 5 => 9 pairs (_) A5,C5: 5.. / A5 = 5 => 10 pairs (_) / C5 = 5 => 8 pairs (_) A8,C8: 5.. / A8 = 5 => 8 pairs (_) / C8 = 5 => 10 pairs (_) E1,G1: 5.. / E1 = 5 => 9 pairs (_) / G1 = 5 => 12 pairs (_) E3,G3: 5.. / E3 = 5 => 12 pairs (_) / G3 = 5 => 9 pairs (_) A5,A8: 5.. / A5 = 5 => 10 pairs (_) / A8 = 5 => 8 pairs (_) C5,C8: 5.. / C5 = 5 => 8 pairs (_) / C8 = 5 => 10 pairs (_) B1,A3: 7.. / B1 = 7 => 11 pairs (_) / A3 = 7 => 0 pairs (*) F4,F5: 7.. / F4 = 7 => 0 pairs (*) / F5 = 7 => 0 pairs (X) B1,G1: 7.. / B1 = 7 => 11 pairs (_) / G1 = 7 => 0 pairs (*) B5,F5: 7.. / B5 = 7 => 0 pairs (*) / F5 = 7 => 0 pairs (X) I3,I9: 7.. / I3 = 7 => 12 pairs (_) / I9 = 7 => 18 pairs (_) A5,C5: 8.. / A5 = 8 => 8 pairs (_) / C5 = 8 => 10 pairs (_) G7,G9: 8.. / G7 = 8 => 10 pairs (_) / G9 = 8 => 10 pairs (_) * DURATION: 0:00:08.727095 START: 15:22:11.308377 END: 15:22:20.035472 2025-04-06 * CP COUNT: (25) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A5,C2,C5,D1,E1,F1,G5,H5,I3) * 1.3....89.5.789....89......2..54.9.8...9.....9.4.28.75.4..95..2...87..94.9.2.4.5. * PAIR A2: 4,6 BLK 1 A3: 4,6,7 # reduction candidate for 4,6 A3: 7 => SOLVED * 123456789456789231789132546231547968875961423964328175347695812512873694698214357 A3: 4,6 # 11 pairs * PAIR A2: 4,6 ROW 2 G2: 4,6,1,2,3 # reduction candidate for 4,6 G2: 4,6 # 15 pairs H2: 4,6,1,2,3 # reduction candidate for 4,6 H2: 4,6 # 17 pairs * PAIR C2: 2,6 BLK 1 B1: 2,6,7 # reduction candidate for 2,6 B1: 2,6 => SOLVED * 123456789456789231789132546231547968875961423964328175347695812512873694698214357 B1: 7 # 11 pairs * PAIR C2: 2,6 ROW 2 G2: 2,6,1,3,4 # reduction candidate for 2,6 G2: 2,6 # 15 pairs H2: 2,6,1,3,4 # reduction candidate for 2,6 H2: 2,6 # 15 pairs * PAIR C2: 2,6 COL C C8: 2,6,1,5 # reduction candidate for 2,6 C8: 2,6 # 12 pairs C8: 1,5 # 12 pairs * PAIR D1: 4,6 BLK 2 D3: 4,6,1,3 # reduction candidate for 4,6 D3: 4,6 # 12 pairs D3: 1,3 # 10 pairs * PAIR D1: 4,6 ROW 1 G1: 4,6,2,5,7 # reduction candidate for 4,6 G1: 4,6 # 9 pairs G1: 2,5,7 # 9 pairs * PAIR E1: 5,6 BLK 2 E3: 5,6,1,3 # reduction candidate for 5,6 E3: 5,6 # 14 pairs E3: 1,3 # 10 pairs * PAIR E1: 5,6 ROW 1 G1: 5,6,2,4,7 # reduction candidate for 5,6 G1: 5,6 # 10 pairs G1: 2,4,7 # 9 pairs * PAIR F1: 2,6 BLK 2 F3: 2,6,1,3 # reduction candidate for 2,6 F3: 2,6 # 12 pairs F3: 1,3 # 11 pairs * PAIR F1: 2,6 ROW 1 B1: 2,6,7 # reduction candidate for 2,6 B1: 2,6 => SOLVED * 123456789456789231789132546231547968875961423964328175347695812512873694698214357 B1: 7 # 11 pairs G1: 2,6,4,5,7 # reduction candidate for 2,6 G1: 2,6 # 11 pairs * PAIR I3: 6,7 BLK 3 G1: 6,7,2,4,5 # reduction candidate for 6,7 G1: 6,7 # 15 pairs G3: 6,7,2,4,5 # reduction candidate for 6,7 G3: 6,7 # 11 pairs * PAIR I3: 6,7 ROW 3 A3: 6,7,4 # reduction candidate for 6,7 A3: 6,7 # 12 pairs A3: 4 # 10 pairs * PAIR I3: 6,7 COL I I9: 6,7,1,3 # reduction candidate for 6,7 I9: 6,7 # 13 pairs I9: 1,3 # 13 pairs * PAIR G5: 2,4 COL G G1: 2,4,5,6,7 # reduction candidate for 2,4 G1: 2,4 # 13 pairs G2: 2,4,1,3,6 # reduction candidate for 2,4 G2: 2,4 # 15 pairs G3: 2,4,5,6,7 # reduction candidate for 2,4 G3: 2,4 # 14 pairs * PAIR H5: 2,4 COL H H2: 2,4,1,3,6 # reduction candidate for 2,4 H2: 2,4 # 14 pairs H3: 2,4,6 # reduction candidate for 2,4 H3: 2,4 # 11 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00098475-base-pr-000.dot * REASONING * PRF # A3: 7 => SOL * PRF # B1: 2,6 => SOL * PRF # B1: 2,6 => SOL * CNT 3 HDP CHAINS / 34 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A5,C2,C5,D1,E1,F1,G5,H5,I3) * 1.3....89.5.789....89......2..54.9.8...9.....9.4.28.75.4..95..2...87..94.9.2.4.5. * PAIR A2: 4,6 BLK 1 A3: 4,6,7 # reduction candidate for 4,6 A3: 7 => SOLVED * 123456789456789231789132546231547968875961423964328175347695812512873694698214357 * DURATION: 0:00:00.707719 START: 15:22:26.947906 END: 15:22:27.655625 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00098475-base-pr-001.dot * REASONING * PRF # A3: 7 => SOL * STA A3: 7 * CNT 1 HDP CHAINS / 2 HYP OPENED
Header Info
rating: 24837; r2: 500116; index: 98475
Solution
position: 123456789456789231789132546231547968875961423964328175347695812512873694698214357 solved
See section Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A3: 4,6 => UNS * PRF # A3: 7 => SOL * INC # G2: 4,6 => UNS * INC # H2: 4,6 => UNS * PRF # B1: 2,6 => SOL * INC # B1: 7 => UNS * INC # G2: 2,6 => UNS * INC # H2: 2,6 => UNS * INC # C8: 2,6 => UNS * INC # C8: 1,5 => UNS * INC # D3: 4,6 => UNS * INC # D3: 1,3 => UNS * INC # G1: 4,6 => UNS * INC # G1: 2,5,7 => UNS * INC # E3: 5,6 => UNS * INC # E3: 1,3 => UNS * INC # G1: 5,6 => UNS * INC # G1: 2,4,7 => UNS * INC # F3: 2,6 => UNS * INC # F3: 1,3 => UNS * PRF # B1: 2,6 => SOL * INC # B1: 7 => UNS * INC # G1: 2,6 => UNS * INC # G1: 6,7 => UNS * INC # G3: 6,7 => UNS * INC # A3: 6,7 => UNS * INC # A3: 4 => UNS * INC # I9: 6,7 => UNS * INC # I9: 1,3 => UNS * INC # G1: 2,4 => UNS * INC # G2: 2,4 => UNS * INC # G3: 2,4 => UNS * INC # H2: 2,4 => UNS * INC # H3: 2,4 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 4,6 => UNS * PRF # A3: 7 => SOL * STA A3: 7 * CNT 2 HDP CHAINS / 2 HYP OPENED