Analysis of xx-mith-te3-00014899-base.sdk
Contents
Original Sudoku
level: medium
position: 12......94.71....6.69...1..2.6...4.1....62.9797..4162......89.....9.5..4792.1.... initial
Autosolve
position: 12......94.71....6.69...1..2.6...4.1....62.9797..4162......89.....9.5..4792.1.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # G8: 2,3 => SOL * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # G8: 2,3 => SOL * STA G8: 2,3 * CNT 1 HDP CHAINS / 9 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12......94.71....6.69...1..2.6...4.1....62.9797..4162......89.....9.5..4792.1.... | initial |
| 12......94.71....6.69...1..2.6...4.1....62.9797..4162......89.....9.5..4792.1.... | autosolve |
| 123456789457189236869237145286793451341562897975841623534678912618925374792314568 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (4) F2: 3,9 B5: 1,4 C5: 1,4 I7: 2,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B5,C5: 1.. / B5 = 1 => 3 pairs (_) / C5 = 1 => 3 pairs (_) H7,H8: 1.. / H7 = 1 => 5 pairs (_) / H8 = 1 => 12 pairs (_) G2,I3: 2.. / G2 = 2 => 5 pairs (_) / I3 = 2 => 0 pairs (X) I7,G8: 2.. / I7 = 2 => 5 pairs (_) / G8 = 2 => 0 pairs (X) E2,G2: 2.. / E2 = 2 => 0 pairs (X) / G2 = 2 => 5 pairs (_) E8,G8: 2.. / E8 = 2 => 5 pairs (_) / G8 = 2 => 0 pairs (X) D3,D7: 2.. / D3 = 2 => 5 pairs (_) / D7 = 2 => 0 pairs (X) G2,G8: 2.. / G2 = 2 => 5 pairs (_) / G8 = 2 => 0 pairs (X) I3,I7: 2.. / I3 = 2 => 0 pairs (X) / I7 = 2 => 5 pairs (_) H1,H3: 4.. / H1 = 4 => 4 pairs (_) / H3 = 4 => 8 pairs (_) B5,C5: 4.. / B5 = 4 => 3 pairs (_) / C5 = 4 => 3 pairs (_) B7,C7: 4.. / B7 = 4 => 3 pairs (_) / C7 = 4 => 3 pairs (_) D9,F9: 4.. / D9 = 4 => 5 pairs (_) / F9 = 4 => 6 pairs (_) B5,B7: 4.. / B5 = 4 => 3 pairs (_) / B7 = 4 => 3 pairs (_) C5,C7: 4.. / C5 = 4 => 3 pairs (_) / C7 = 4 => 3 pairs (_) D1,F1: 6.. / D1 = 6 => 10 pairs (_) / F1 = 6 => 5 pairs (_) A7,A8: 6.. / A7 = 6 => 13 pairs (_) / A8 = 6 => 5 pairs (_) A8,H8: 6.. / A8 = 6 => 5 pairs (_) / H8 = 6 => 13 pairs (_) F1,F9: 6.. / F1 = 6 => 5 pairs (_) / F9 = 6 => 10 pairs (_) G1,G8: 7.. / G1 = 7 => 0 pairs (*) / G8 = 7 => 0 pairs (X) E2,F2: 9.. / E2 = 9 => 13 pairs (_) / F2 = 9 => 4 pairs (_) E4,F4: 9.. / E4 = 9 => 4 pairs (_) / F4 = 9 => 13 pairs (_) E2,E4: 9.. / E2 = 9 => 13 pairs (_) / E4 = 9 => 4 pairs (_) F2,F4: 9.. / F2 = 9 => 4 pairs (_) / F4 = 9 => 13 pairs (_) * DURATION: 0:00:06.445534 START: 05:26:48.861425 END: 05:26:55.306959 2025-04-06 * CP COUNT: (24) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B5,C5,F2,I7) * 12......94.71....6.69...1..2.6...4.1....62.9797..4162......89.....9.5..4792.1.... * PAIR F2: 3,9 BLK 2 E2: 3,9,2,5,8 # reduction candidate for 3,9 E2: 3,9 # 9 pairs E2: 2,5,8 # 4 pairs * PAIR F2: 3,9 COL F F4: 3,9,7 # reduction candidate for 3,9 F4: 3,9 # 7 pairs F4: 7 # 5 pairs * PAIR B5: 1,4 COL B B7: 1,4,3,5 # reduction candidate for 1,4 B7: 1,4 # 6 pairs B7: 3,5 # 5 pairs * PAIR C5: 1,4 COL C C7: 1,4,3,5 # reduction candidate for 1,4 C7: 1,4 # 6 pairs C7: 3,5 # 5 pairs * PAIR I7: 2,3 BLK 9 G8: 2,3,7 # reduction candidate for 2,3 G8: 2,3 => SOLVED * 123456789457189236869237145286793451341562897975841623534678912618925374792314568 G8: 7 # 6 pairs * PAIR I7: 2,3 ROW 7 D7: 2,3,6,7 # reduction candidate for 2,3 D7: 2,3 # 18 pairs E7: 2,3,7 # reduction candidate for 2,3 E7: 2,3 # 13 pairs * PAIR I7: 2,3 COL I I3: 2,3,5,8 # reduction candidate for 2,3 I3: 2,3 # 7 pairs I3: 5,8 # 6 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00014899-base-pr-000.dot * REASONING * PRF # G8: 2,3 => SOL * CNT 1 HDP CHAINS / 14 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B5,C5,F2,I7) * 12......94.71....6.69...1..2.6...4.1....62.9797..4162......89.....9.5..4792.1.... * PAIR F2: 3,9 BLK 2 E2: 3,9,2,5,8 # reduction candidate for 3,9 E2: 3,9 # 9 pairs E2: 2,5,8 # 4 pairs * PAIR F2: 3,9 COL F F4: 3,9,7 # reduction candidate for 3,9 F4: 3,9 # 7 pairs F4: 7 # 5 pairs * PAIR B5: 1,4 COL B B7: 1,4,3,5 # reduction candidate for 1,4 B7: 1,4 # 6 pairs B7: 3,5 # 5 pairs * PAIR C5: 1,4 COL C C7: 1,4,3,5 # reduction candidate for 1,4 C7: 1,4 # 6 pairs C7: 3,5 # 5 pairs * PAIR I7: 2,3 BLK 9 G8: 2,3,7 # reduction candidate for 2,3 G8: 2,3 => SOLVED * 123456789457189236869237145286793451341562897975841623534678912618925374792314568 * DURATION: 0:00:01.688738 START: 05:26:57.717808 END: 05:26:59.406546 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00014899-base-pr-001.dot * REASONING * PRF # G8: 2,3 => SOL * STA G8: 2,3 * CNT 1 HDP CHAINS / 9 HYP OPENED
Header Info
rating: 3346; r2: 160026; index: 14899
Solution
position: 123456789457189236869237145286793451341562897975841623534678912618925374792314568 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 # E2: 3,9 => UNS * INC # E2: 2,5,8 => UNS * INC # F4: 3,9 => UNS * INC # F4: 7 => UNS * INC # B7: 1,4 => UNS * INC # B7: 3,5 => UNS * INC # C7: 1,4 => UNS * INC # C7: 3,5 => UNS * PRF # G8: 2,3 => SOL * INC # G8: 7 => UNS * INC # D7: 2,3 => UNS * INC # E7: 2,3 => UNS * INC # I3: 2,3 => UNS * INC # I3: 5,8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E2: 3,9 => UNS * INC # E2: 2,5,8 => UNS * INC # F4: 3,9 => UNS * INC # F4: 7 => UNS * INC # B7: 1,4 => UNS * INC # B7: 3,5 => UNS * INC # C7: 1,4 => UNS * INC # C7: 3,5 => UNS * PRF # G8: 2,3 => SOL * STA G8: 2,3 * CNT 9 HDP CHAINS / 9 HYP OPENED