Analysis of xx-mith-te3-00150614-base.sdk
Contents
Original Sudoku
level: medium
position: ...45..8945....23.9.8......28.....4.3.9..4.58.45.........61.8.....87..9.8.2.43... initial
Autosolve
position: .2345..8945....23.9.8......28.....4.3.9..4.58.45.........61.8.....87..9.8.2.43... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # F7: 2 => SOL * DIS # I7: 2,7 => CTR => I7: 3,4,5 * CNT 2 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # F7: 2 => SOL * STA F7: 2 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...45..8945....23.9.8......28.....4.3.9..4.58.45.........61.8.....87..9.8.2.43... | initial |
| .2345..8945....23.9.8......28.....4.3.9..4.58.45.........61.8.....87..9.8.2.43... | autosolve |
| 123456789457189236968237514286591347319724658745368921594612873631875492872943165 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (10) D3: 2,3 E3: 2,3 G3: 4,5 I3: 4,5 E5: 2,6 A7: 5,7 C7: 4,7 F8: 2,5 D9: 5,9 H7: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D3,E3: 2.. / D3 = 2 => 9 pairs (_) / E3 = 2 => 11 pairs (_) D5,E5: 2.. / D5 = 2 => 11 pairs (_) / E5 = 2 => 9 pairs (_) H6,I6: 2.. / H6 = 2 => 0 pairs (*) / I6 = 2 => 0 pairs (X) F7,F8: 2.. / F7 = 2 => 0 pairs (*) / F8 = 2 => 0 pairs (X) F8,I8: 2.. / F8 = 2 => 10 pairs (_) / I8 = 2 => 0 pairs (*) D3,D5: 2.. / D3 = 2 => 9 pairs (_) / D5 = 2 => 11 pairs (_) E3,E5: 2.. / E3 = 2 => 11 pairs (_) / E5 = 2 => 9 pairs (_) H6,H7: 2.. / H6 = 2 => 0 pairs (*) / H7 = 2 => 0 pairs (X) D3,E3: 3.. / D3 = 3 => 11 pairs (_) / E3 = 3 => 9 pairs (_) B7,B8: 3.. / B7 = 3 => 12 pairs (_) / B8 = 3 => 13 pairs (_) B7,I7: 3.. / B7 = 3 => 12 pairs (_) / I7 = 3 => 13 pairs (_) G3,I3: 4.. / G3 = 4 => 8 pairs (_) / I3 = 4 => 10 pairs (_) C7,C8: 4.. / C7 = 4 => 10 pairs (_) / C8 = 4 => 9 pairs (_) C7,I7: 4.. / C7 = 4 => 10 pairs (_) / I7 = 4 => 9 pairs (_) G3,G8: 4.. / G3 = 4 => 8 pairs (_) / G8 = 4 => 10 pairs (_) G3,I3: 5.. / G3 = 5 => 10 pairs (_) / I3 = 5 => 8 pairs (_) D4,F4: 5.. / D4 = 5 => 15 pairs (_) / F4 = 5 => 11 pairs (_) A7,A8: 5.. / A7 = 5 => 11 pairs (_) / A8 = 5 => 12 pairs (_) D4,D9: 5.. / D4 = 5 => 15 pairs (_) / D9 = 5 => 11 pairs (_) E2,F2: 8.. / E2 = 8 => 10 pairs (_) / F2 = 8 => 11 pairs (_) E6,F6: 8.. / E6 = 8 => 11 pairs (_) / F6 = 8 => 10 pairs (_) E2,E6: 8.. / E2 = 8 => 10 pairs (_) / E6 = 8 => 11 pairs (_) F2,F6: 8.. / F2 = 8 => 11 pairs (_) / F6 = 8 => 10 pairs (_) G4,G6: 9.. / G4 = 9 => 13 pairs (_) / G6 = 9 => 10 pairs (_) B7,B9: 9.. / B7 = 9 => 15 pairs (_) / B9 = 9 => 11 pairs (_) F7,D9: 9.. / F7 = 9 => 11 pairs (_) / D9 = 9 => 15 pairs (_) B7,F7: 9.. / B7 = 9 => 15 pairs (_) / F7 = 9 => 11 pairs (_) B9,D9: 9.. / B9 = 9 => 11 pairs (_) / D9 = 9 => 15 pairs (_) * DURATION: 0:00:08.558750 START: 22:23:56.610584 END: 22:24:05.169334 2025-04-06 * CP COUNT: (28) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A7,C7,D3,D9,E3,E5,F8,G3,H7,I3) * .2345..8945....23.9.8......28.....4.3.9..4.58.45.........61.8.....87..9.8.2.43... * PAIR G3: 4,5 COL G G8: 4,5,1,3,6 # reduction candidate for 4,5 G8: 4,5 # 13 pairs G8: 1,3,6 # 13 pairs * PAIR I3: 4,5 COL I I7: 4,5,2,3,7 # reduction candidate for 4,5 I7: 4,5 # 12 pairs I8: 4,5,1,2,3,6 # reduction candidate for 4,5 I8: 4,5 # 11 pairs * PAIR A7: 5,7 ROW 7 I7: 5,7,2,3,4 # reduction candidate for 5,7 I7: 2,3,4 # 10 pairs I7: 5,7 # 9 pairs * PAIR C7: 4,7 ROW 7 I7: 4,7,2,3,5 # reduction candidate for 4,7 I7: 2,3,5 # 10 pairs I7: 4,7 # 9 pairs * PAIR F8: 2,5 BLK 8 F7: 2,5,9 # reduction candidate for 2,5 F7: 2,5 # 15 pairs F7: 9 # 11 pairs * PAIR F8: 2,5 ROW 8 I8: 2,5,1,3,4,6 # reduction candidate for 2,5 I8: 2,5 # 15 pairs I8: 1,3,4,6 # 10 pairs * PAIR D9: 5,9 BLK 8 F7: 5,9,2 # reduction candidate for 5,9 F7: 2 => SOLVED * 123456789457189236968237514286591347319724658745368921594612873631875492872943165 F7: 5,9 # 10 pairs * PAIR D9: 5,9 COL D D4: 5,9,1,3,7 # reduction candidate for 5,9 D4: 5,9 # 14 pairs D4: 1,3,7 # 11 pairs * PAIR H7: 2,7 BLK 9 I7: 2,7,3,4,5 # reduction candidate for 2,7 I7: 2,7 => CTR * .2345..8945....23.9.8......28.....4.3.9..4.58.45.......346198.....872.9.892543... I7: 3,4,5 # 10 pairs * PAIR H7: 2,7 COL H H6: 2,7,1,6 # reduction candidate for 2,7 H6: 2,7 # 13 pairs H6: 1,6 # 10 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00150614-base-pr-000.dot * REASONING * PRF # F7: 2 => SOL * DIS # I7: 2,7 => CTR => I7: 3,4,5 * CNT 2 HDP CHAINS / 20 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A7,C7,D3,D9,E3,E5,F8,G3,H7,I3) * .2345..8945....23.9.8......28.....4.3.9..4.58.45.........61.8.....87..9.8.2.43... * PAIR G3: 4,5 COL G G8: 4,5,1,3,6 # reduction candidate for 4,5 G8: 4,5 # 13 pairs G8: 1,3,6 # 13 pairs * PAIR I3: 4,5 COL I I7: 4,5,2,3,7 # reduction candidate for 4,5 I7: 4,5 # 12 pairs I8: 4,5,1,2,3,6 # reduction candidate for 4,5 I8: 4,5 # 11 pairs * PAIR A7: 5,7 ROW 7 I7: 5,7,2,3,4 # reduction candidate for 5,7 I7: 2,3,4 # 10 pairs I7: 5,7 # 9 pairs * PAIR C7: 4,7 ROW 7 I7: 4,7,2,3,5 # reduction candidate for 4,7 I7: 2,3,5 # 10 pairs I7: 4,7 # 9 pairs * PAIR F8: 2,5 BLK 8 F7: 2,5,9 # reduction candidate for 2,5 F7: 2,5 # 15 pairs F7: 9 # 11 pairs * PAIR F8: 2,5 ROW 8 I8: 2,5,1,3,4,6 # reduction candidate for 2,5 I8: 2,5 # 15 pairs I8: 1,3,4,6 # 10 pairs * PAIR D9: 5,9 BLK 8 F7: 5,9,2 # reduction candidate for 5,9 F7: 2 => SOLVED * 123456789457189236968237514286591347319724658745368921594612873631875492872943165 * DURATION: 0:00:02.696215 START: 22:24:08.889394 END: 22:24:11.585609 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00150614-base-pr-001.dot * REASONING * PRF # F7: 2 => SOL * STA F7: 2 * CNT 1 HDP CHAINS / 14 HYP OPENED
Header Info
rating: 40834; r2: 749270; index: 150614
Solution
position: 123456789457189236968237514286591347319724658745368921594612873631875492872943165 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 # G8: 4,5 => UNS * INC # G8: 1,3,6 => UNS * INC # I7: 4,5 => UNS * INC # I8: 4,5 => UNS * INC # I7: 5,7 => UNS * INC # I7: 2,3,4 => UNS * INC # I7: 4,7 => UNS * INC # I7: 2,3,5 => UNS * INC # F7: 2,5 => UNS * INC # F7: 9 => UNS * INC # I8: 2,5 => UNS * INC # I8: 1,3,4,6 => UNS * INC # F7: 5,9 => UNS * PRF # F7: 2 => SOL * INC # D4: 5,9 => UNS * INC # D4: 1,3,7 => UNS * DIS # I7: 2,7 => CTR => I7: 3,4,5 * INC # I7: 3,4,5 => UNS * INC # H6: 2,7 => UNS * INC # H6: 1,6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G8: 4,5 => UNS * INC # G8: 1,3,6 => UNS * INC # I7: 4,5 => UNS * INC # I8: 4,5 => UNS * INC # I7: 5,7 => UNS * INC # I7: 2,3,4 => UNS * INC # I7: 4,7 => UNS * INC # I7: 2,3,5 => UNS * INC # F7: 2,5 => UNS * INC # F7: 9 => UNS * INC # I8: 2,5 => UNS * INC # I8: 1,3,4,6 => UNS * INC # F7: 5,9 => UNS * PRF # F7: 2 => SOL * STA F7: 2 * CNT 14 HDP CHAINS / 14 HYP OPENED