Analysis of xx-mith-te3-00122176-base.sdk
Contents
Original Sudoku
level: hard
position: ....5..8.457....36......1.5.75......36.9.5..49.4.67...5.6.73.9.7...9.3.......4... initial
Autosolve
position: ...45..8.457....36...73.145.75.4....36.9.5..49.4.67...5.6.7349.74..9.3.......4... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.259906
The following important HDP chains were detected:
* DIS # I1: 2,9 # I4: 2,8 => CTR => I4: 1,3,9 * PRF # I1: 2,9 + I4: 1,3,9 # I6: 2,8 => SOL * STA # I1: 2,9 + I4: 1,3,9 + I6: 2,8 * CNT 2 HDP CHAINS / 42 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....5..8.457....36......1.5.75......36.9.5..49.4.67...5.6.73.9.7...9.3.......4... | initial |
| ...45..8.457....36...73.145.75.4....36.9.5..49.4.67...5.6.7349.74..9.3.......4... | autosolve |
| 123456789457189236698732145275841963361925874984367512516273498742698351839514627 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) G2: 2,9 B9: 3,9 C9: 3,9 D8: 5,6 D9: 5,6 H8: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,C1: 3.. / B1 = 3 => 5 pairs (_) / C1 = 3 => 5 pairs (_) D4,D6: 3.. / D4 = 3 => 6 pairs (_) / D6 = 3 => 16 pairs (_) I4,I6: 3.. / I4 = 3 => 16 pairs (_) / I6 = 3 => 6 pairs (_) B9,C9: 3.. / B9 = 3 => 5 pairs (_) / C9 = 3 => 5 pairs (_) D4,I4: 3.. / D4 = 3 => 6 pairs (_) / I4 = 3 => 16 pairs (_) D6,I6: 3.. / D6 = 3 => 16 pairs (_) / I6 = 3 => 6 pairs (_) B1,B9: 3.. / B1 = 3 => 5 pairs (_) / B9 = 3 => 5 pairs (_) C1,C9: 3.. / C1 = 3 => 5 pairs (_) / C9 = 3 => 5 pairs (_) G6,H6: 5.. / G6 = 5 => 7 pairs (_) / H6 = 5 => 7 pairs (_) D8,D9: 5.. / D8 = 5 => 5 pairs (_) / D9 = 5 => 4 pairs (_) D8,H8: 5.. / D8 = 5 => 5 pairs (_) / H8 = 5 => 4 pairs (_) G6,G9: 5.. / G6 = 5 => 7 pairs (_) / G9 = 5 => 7 pairs (_) A1,A3: 6.. / A1 = 6 => 10 pairs (_) / A3 = 6 => 8 pairs (_) F1,F3: 6.. / F1 = 6 => 8 pairs (_) / F3 = 6 => 10 pairs (_) G4,H4: 6.. / G4 = 6 => 8 pairs (_) / H4 = 6 => 4 pairs (_) D8,D9: 6.. / D8 = 6 => 4 pairs (_) / D9 = 6 => 5 pairs (_) A1,F1: 6.. / A1 = 6 => 10 pairs (_) / F1 = 6 => 8 pairs (_) A3,F3: 6.. / A3 = 6 => 8 pairs (_) / F3 = 6 => 10 pairs (_) D8,H8: 6.. / D8 = 6 => 4 pairs (_) / H8 = 6 => 5 pairs (_) G4,G9: 6.. / G4 = 6 => 8 pairs (_) / G9 = 6 => 4 pairs (_) G1,I1: 7.. / G1 = 7 => 8 pairs (_) / I1 = 7 => 10 pairs (_) G5,H5: 7.. / G5 = 7 => 11 pairs (_) / H5 = 7 => 7 pairs (_) H5,H9: 7.. / H5 = 7 => 7 pairs (_) / H9 = 7 => 11 pairs (_) I1,I9: 7.. / I1 = 7 => 10 pairs (_) / I9 = 7 => 8 pairs (_) G4,I4: 9.. / G4 = 9 => 12 pairs (_) / I4 = 9 => 7 pairs (_) B9,C9: 9.. / B9 = 9 => 5 pairs (_) / C9 = 9 => 5 pairs (_) F2,G2: 9.. / F2 = 9 => 15 pairs (_) / G2 = 9 => 10 pairs (_) I1,I4: 9.. / I1 = 9 => 12 pairs (_) / I4 = 9 => 7 pairs (_) * DURATION: 0:00:10.267378 START: 07:25:58.643880 END: 07:26:08.911258 2025-04-05 * CP COUNT: (28) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:12.118707 START: 07:26:14.665932 END: 07:26:26.784639 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00122176-base-pr-002.dot * REASONING * DIS # I1: 2,9 # I4: 2,8 => CTR => I4: 1,3,9 * PRF # I1: 2,9 + I4: 1,3,9 # I6: 2,8 => SOL * STA # I1: 2,9 + I4: 1,3,9 + I6: 2,8 * CNT 2 HDP CHAINS / 42 HYP OPENED
Header Info
rating: 31779; r2: 758676; index: 122176
Solution
position: 123456789457189236698732145275841963361925874984367512516273498742698351839514627 solved
See section Deep 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 # G1: 2,9 => UNS * INC # I1: 2,9 => UNS * INC # F2: 2,9 => UNS * INC # F2: 1,8 => UNS * INC # G4: 2,9 => UNS * INC # G4: 6,8 => UNS * INC # B1: 3,9 => UNS * INC # B1: 1,2 => UNS * INC # C1: 3,9 => UNS * INC # C1: 1,2 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 2,9 => UNS * INC # I1: 2,9 => UNS * INC # F2: 2,9 => UNS * INC # F2: 1,8 => UNS * INC # G4: 2,9 => UNS * INC # G4: 6,8 => UNS * INC # B1: 3,9 => UNS * INC # B1: 1,2 => UNS * INC # C1: 3,9 => UNS * INC # C1: 1,2 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 2,9 => UNS * INC # I1: 2,9 => UNS * INC # F2: 2,9 => UNS * INC # F2: 1,8 => UNS * INC # G4: 2,9 => UNS * INC # G4: 6,8 => UNS * INC # B1: 3,9 => UNS * INC # B1: 1,2 => UNS * INC # C1: 3,9 => UNS * INC # C1: 1,2 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # G1: 2,9 # B1: 2,9 => UNS * INC # G1: 2,9 # C1: 2,9 => UNS * INC # G1: 2,9 # F1: 2,9 => UNS * INC # G1: 2,9 # F2: 2,9 => UNS * INC # G1: 2,9 # F2: 1,8 => UNS * INC # G1: 2,9 # B1: 3,9 => UNS * INC # G1: 2,9 # B1: 1,2 => UNS * INC # G1: 2,9 # C1: 3,9 => UNS * INC # G1: 2,9 # C1: 1,2 => UNS * INC # G1: 2,9 # G9: 5,6 => UNS * INC # G1: 2,9 # H9: 5,6 => UNS * INC # G1: 2,9 # G9: 5,6 => UNS * INC # G1: 2,9 # H9: 5,6 => UNS * INC # G1: 2,9 => UNS * INC # I1: 2,9 # B1: 2,9 => UNS * INC # I1: 2,9 # C1: 2,9 => UNS * INC # I1: 2,9 # F1: 2,9 => UNS * INC # I1: 2,9 # I4: 2,9 => UNS * INC # I1: 2,9 # I4: 1,3,8 => UNS * INC # I1: 2,9 # F2: 2,9 => UNS * INC # I1: 2,9 # F2: 1,8 => UNS * INC # I1: 2,9 # G4: 2,9 => UNS * INC # I1: 2,9 # G4: 6,8 => UNS * INC # I1: 2,9 # G4: 2,8 => UNS * DIS # I1: 2,9 # I4: 2,8 => CTR => I4: 1,3,9 * INC # I1: 2,9 + I4: 1,3,9 # G6: 2,8 => UNS * PRF # I1: 2,9 + I4: 1,3,9 # I6: 2,8 => SOL * STA # I1: 2,9 + I4: 1,3,9 + I6: 2,8 * CNT 41 HDP CHAINS / 42 HYP OPENED