Analysis of xx-mith-te3-00002825-base.sdk
Contents
Original Sudoku
level: medium
position: 1.3....89.57......6.9....54...8.749..7.2..5.8.9..45.27...........29.8.45....24.7. initial
Autosolve
position: 1.3....89.57......6.9....54...8.749..7.2..5.8.9..45.27........2..29.8.45....24.7. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # A2: 4 => SOL * DIS # A7: 3,7 => CTR => A7: 4,5,8,9 * 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 # A2: 4 => SOL * STA A2: 4 * CNT 1 HDP CHAINS / 4 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3....89.57......6.9....54...8.749..7.2..5.8.9..45.27...........29.8.45....24.7. | initial |
| 1.3....89.57......6.9....54...8.749..7.2..5.8.9..45.27........2..29.8.45....24.7. | autosolve |
| 123456789457189236689372154265837491374291568891645327548763912732918645916524873 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (8) B1: 2,4 B3: 2,8 F1: 2,6 A5: 3,4 A6: 3,8 A8: 3,7 G7: 8,9 G9: 8,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,B4: 2.. / A4 = 2 => 11 pairs (_) / B4 = 2 => 12 pairs (_) A2,A4: 2.. / A2 = 2 => 12 pairs (_) / A4 = 2 => 11 pairs (_) B1,A2: 4.. / B1 = 4 => 8 pairs (_) / A2 = 4 => 0 pairs (*) D1,D2: 4.. / D1 = 4 => 0 pairs (*) / D2 = 4 => 0 pairs (X) A5,C5: 4.. / A5 = 4 => 8 pairs (_) / C5 = 4 => 10 pairs (_) B1,D1: 4.. / B1 = 4 => 8 pairs (_) / D1 = 4 => 0 pairs (*) A2,D2: 4.. / A2 = 4 => 0 pairs (*) / D2 = 4 => 0 pairs (X) B1,B7: 4.. / B1 = 4 => 8 pairs (_) / B7 = 4 => 0 pairs (*) C5,C7: 4.. / C5 = 4 => 10 pairs (_) / C7 = 4 => 8 pairs (_) D1,E1: 5.. / D1 = 5 => 9 pairs (_) / E1 = 5 => 8 pairs (_) A4,C4: 5.. / A4 = 5 => 12 pairs (_) / C4 = 5 => 10 pairs (_) E1,E7: 5.. / E1 = 5 => 8 pairs (_) / E7 = 5 => 9 pairs (_) G1,G3: 7.. / G1 = 7 => 9 pairs (_) / G3 = 7 => 12 pairs (_) A7,A8: 7.. / A7 = 7 => 0 pairs (X) / A8 = 7 => 7 pairs (_) A8,E8: 7.. / A8 = 7 => 7 pairs (_) / E8 = 7 => 0 pairs (X) A2,B3: 8.. / A2 = 8 => 13 pairs (_) / B3 = 8 => 8 pairs (_) E2,E3: 8.. / E2 = 8 => 8 pairs (_) / E3 = 8 => 13 pairs (_) A6,C6: 8.. / A6 = 8 => 8 pairs (_) / C6 = 8 => 9 pairs (_) G7,G9: 8.. / G7 = 8 => 5 pairs (_) / G9 = 8 => 6 pairs (_) A2,E2: 8.. / A2 = 8 => 13 pairs (_) / E2 = 8 => 8 pairs (_) B3,E3: 8.. / B3 = 8 => 8 pairs (_) / E3 = 8 => 13 pairs (_) E2,F2: 9.. / E2 = 9 => 14 pairs (_) / F2 = 9 => 8 pairs (_) E5,F5: 9.. / E5 = 9 => 8 pairs (_) / F5 = 9 => 14 pairs (_) A7,A9: 9.. / A7 = 9 => 5 pairs (_) / A9 = 9 => 6 pairs (_) G7,G9: 9.. / G7 = 9 => 6 pairs (_) / G9 = 9 => 5 pairs (_) A7,G7: 9.. / A7 = 9 => 5 pairs (_) / G7 = 9 => 6 pairs (_) A9,G9: 9.. / A9 = 9 => 6 pairs (_) / G9 = 9 => 5 pairs (_) E2,E5: 9.. / E2 = 9 => 14 pairs (_) / E5 = 9 => 8 pairs (_) F2,F5: 9.. / F2 = 9 => 8 pairs (_) / F5 = 9 => 14 pairs (_) * DURATION: 0:00:08.031616 START: 02:39:17.947903 END: 02:39:25.979519 2025-04-06 * CP COUNT: (29) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,A6,A8,B1,B3,F1,G7,G9) * 1.3....89.57......6.9....54...8.749..7.2..5.8.9..45.27........2..29.8.45....24.7. * PAIR B1: 2,4 BLK 1 A2: 2,4,8 # reduction candidate for 2,4 A2: 8 # 13 pairs A2: 2,4 # 8 pairs * PAIR B3: 2,8 BLK 1 A2: 2,8,4 # reduction candidate for 2,8 A2: 4 => SOLVED * 123456789457189236689372154265837491374291568891645327548763912732918645916524873 A2: 2,8 # 8 pairs * PAIR F1: 2,6 BLK 2 F2: 2,6,1,3,9 # reduction candidate for 2,6 F2: 2,6 # 19 pairs F2: 1,3,9 # 8 pairs * PAIR F1: 2,6 ROW 1 G1: 2,6,7 # reduction candidate for 2,6 G1: 2,6 # 12 pairs G1: 7 # 9 pairs * PAIR A5: 3,4 COL A A7: 3,4,5,7,8,9 # reduction candidate for 3,4 A7: 3,4 # 9 pairs A7: 5,7,8,9 # 8 pairs * PAIR A6: 3,8 COL A A7: 3,8,4,5,7,9 # reduction candidate for 3,8 A7: 3,8 # 9 pairs A9: 3,8,5,9 # reduction candidate for 3,8 A9: 3,8 # 9 pairs * PAIR A8: 3,7 BLK 7 A7: 3,7,4,5,8,9 # reduction candidate for 3,7 A7: 3,7 => CTR * 143....89257489...689....5452.8.749.47.29.5.8.9..45.27......9.2..29.8.459...2487. A7: 4,5,8,9 # 7 pairs * PAIR A8: 3,7 ROW 8 E8: 3,7,1,6 # reduction candidate for 3,7 E8: 3,7 # 11 pairs E8: 1,6 # 8 pairs * PAIR G7: 8,9 ROW 7 A7: 8,9,3,4,5,7 # reduction candidate for 8,9 A7: 8,9 # 8 pairs A7: 3,4,5,7 # 6 pairs * PAIR G9: 8,9 ROW 9 A9: 8,9,3,5 # reduction candidate for 8,9 A9: 8,9 # 9 pairs A9: 3,5 # 6 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00002825-base-pr-000.dot * REASONING * PRF # A2: 4 => SOL * DIS # A7: 3,7 => CTR => A7: 4,5,8,9 * CNT 2 HDP CHAINS / 20 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,A6,A8,B1,B3,F1,G7,G9) * 1.3....89.57......6.9....54...8.749..7.2..5.8.9..45.27........2..29.8.45....24.7. * PAIR B1: 2,4 BLK 1 A2: 2,4,8 # reduction candidate for 2,4 A2: 8 # 13 pairs A2: 2,4 # 8 pairs * PAIR B3: 2,8 BLK 1 A2: 2,8,4 # reduction candidate for 2,8 A2: 4 => SOLVED * 123456789457189236689372154265837491374291568891645327548763912732918645916524873 * DURATION: 0:00:00.898298 START: 02:39:29.258214 END: 02:39:30.156512 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00002825-base-pr-001.dot * REASONING * PRF # A2: 4 => SOL * STA A2: 4 * CNT 1 HDP CHAINS / 4 HYP OPENED
Header Info
rating: 493; r2: 335998; index: 2825
Solution
position: 123456789457189236689372154265837491374291568891645327548763912732918645916524873 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 # A2: 2,4 => UNS * INC # A2: 8 => UNS * INC # A2: 2,8 => UNS * PRF # A2: 4 => SOL * INC # F2: 2,6 => UNS * INC # F2: 1,3,9 => UNS * INC # G1: 2,6 => UNS * INC # G1: 7 => UNS * INC # A7: 3,4 => UNS * INC # A7: 5,7,8,9 => UNS * INC # A7: 3,8 => UNS * INC # A9: 3,8 => UNS * DIS # A7: 3,7 => CTR => A7: 4,5,8,9 * INC # A7: 4,5,8,9 => UNS * INC # E8: 3,7 => UNS * INC # E8: 1,6 => UNS * INC # A7: 8,9 => UNS * INC # A7: 3,4,5,7 => UNS * INC # A9: 8,9 => UNS * INC # A9: 3,5 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 2,4 => UNS * INC # A2: 8 => UNS * INC # A2: 2,8 => UNS * PRF # A2: 4 => SOL * STA A2: 4 * CNT 4 HDP CHAINS / 4 HYP OPENED