Analysis of xx-mith-te3-00108771-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3......45..89.31.891......35...914......36.....1.8.73.8.451......9.....9...14.. initial
Autosolve
position: 1.3......45..89.31.8913..4..35...914......36.....138.73.8.451......9.....9...14.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:11.181220
The following important HDP chains were detected:
* DIS # D6: 4,5 # I8: 2,5 => CTR => I8: 3,6,8 * DIS # D6: 4,5 + I8: 3,6,8 # I9: 2,5 => CTR => I9: 3,6,8 * PRF # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 # I3: 6 => SOL * STA # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 + I3: 6 * CNT 3 HDP CHAINS / 41 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3......45..89.31.891......35...914......36.....1.8.73.8.451......9.....9...14.. | initial |
| 1.3......45..89.31.8913..4..35...914......36.....138.73.8.451......9.....9...14.. | autosolve |
| 123456789456789231789132546235867914817924365964513827378645192541298673692371458 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) D1: 4,5 H1: 8,9 I1: 8,9 I5: 2,5 H6: 2,5 B8: 1,4 C8: 1,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B5,C5: 1.. / B5 = 1 => 6 pairs (_) / C5 = 1 => 6 pairs (_) B8,C8: 1.. / B8 = 1 => 6 pairs (_) / C8 = 1 => 6 pairs (_) B5,B8: 1.. / B5 = 1 => 6 pairs (_) / B8 = 1 => 6 pairs (_) C5,C8: 1.. / C5 = 1 => 6 pairs (_) / C8 = 1 => 6 pairs (_) I5,H6: 2.. / I5 = 2 => 11 pairs (_) / H6 = 2 => 11 pairs (_) D8,D9: 3.. / D8 = 3 => 7 pairs (_) / D9 = 3 => 7 pairs (_) I8,I9: 3.. / I8 = 3 => 7 pairs (_) / I9 = 3 => 7 pairs (_) D8,I8: 3.. / D8 = 3 => 7 pairs (_) / I8 = 3 => 7 pairs (_) D9,I9: 3.. / D9 = 3 => 7 pairs (_) / I9 = 3 => 7 pairs (_) D1,F1: 4.. / D1 = 4 => 11 pairs (_) / F1 = 4 => 11 pairs (_) B8,C8: 4.. / B8 = 4 => 6 pairs (_) / C8 = 4 => 6 pairs (_) F1,F5: 4.. / F1 = 4 => 11 pairs (_) / F5 = 4 => 11 pairs (_) D1,E1: 5.. / D1 = 5 => 11 pairs (_) / E1 = 5 => 11 pairs (_) G3,I3: 5.. / G3 = 5 => 9 pairs (_) / I3 = 5 => 9 pairs (_) I5,H6: 5.. / I5 = 5 => 11 pairs (_) / H6 = 5 => 11 pairs (_) A8,A9: 5.. / A8 = 5 => 11 pairs (_) / A9 = 5 => 7 pairs (_) D6,H6: 5.. / D6 = 5 => 11 pairs (_) / H6 = 5 => 11 pairs (_) E1,E5: 5.. / E1 = 5 => 11 pairs (_) / E5 = 5 => 11 pairs (_) G3,G8: 5.. / G3 = 5 => 9 pairs (_) / G8 = 5 => 9 pairs (_) H1,I1: 8.. / H1 = 8 => 9 pairs (_) / I1 = 8 => 6 pairs (_) A4,A5: 8.. / A4 = 8 => 12 pairs (_) / A5 = 8 => 9 pairs (_) A5,F5: 8.. / A5 = 8 => 9 pairs (_) / F5 = 8 => 12 pairs (_) H1,I1: 9.. / H1 = 9 => 6 pairs (_) / I1 = 9 => 9 pairs (_) A5,A6: 9.. / A5 = 9 => 12 pairs (_) / A6 = 9 => 8 pairs (_) D5,D6: 9.. / D5 = 9 => 8 pairs (_) / D6 = 9 => 12 pairs (_) H7,I7: 9.. / H7 = 9 => 9 pairs (_) / I7 = 9 => 6 pairs (_) A5,D5: 9.. / A5 = 9 => 12 pairs (_) / D5 = 9 => 8 pairs (_) A6,D6: 9.. / A6 = 9 => 8 pairs (_) / D6 = 9 => 12 pairs (_) H1,H7: 9.. / H1 = 9 => 6 pairs (_) / H7 = 9 => 9 pairs (_) I1,I7: 9.. / I1 = 9 => 9 pairs (_) / I7 = 9 => 6 pairs (_) * DURATION: 0:00:10.448470 START: 17:07:45.781733 END: 17:07:56.230203 2025-04-06 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:11.027300 START: 17:08:01.439874 END: 17:08:12.467174 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00108771-base-pr-002.dot * REASONING * DIS # D6: 4,5 # I8: 2,5 => CTR => I8: 3,6,8 * DIS # D6: 4,5 + I8: 3,6,8 # I9: 2,5 => CTR => I9: 3,6,8 * PRF # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 # I3: 6 => SOL * STA # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 + I3: 6 * CNT 3 HDP CHAINS / 41 HYP OPENED
Header Info
rating: 27370; r2: 537847; index: 108771
Solution
position: 123456789456789231789132546235867914817924365964513827378645192541298673692371458 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 # D5: 4,5 => UNS * INC # D6: 4,5 => UNS * INC # E5: 2,5 => UNS * INC # E5: 7 => UNS * INC # I3: 2,5 => UNS * INC # I8: 2,5 => UNS * INC # I9: 2,5 => UNS * INC # H8: 2,5 => UNS * INC # H9: 2,5 => UNS * INC # B5: 1,4 => UNS * INC # B5: 2,7 => UNS * INC # C5: 1,4 => UNS * INC # C5: 2,7 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 4,5 => UNS * INC # D6: 4,5 => UNS * INC # E5: 2,5 => UNS * INC # E5: 7 => UNS * INC # I3: 2,5 => UNS * INC # I8: 2,5 => UNS * INC # I9: 2,5 => UNS * INC # H8: 2,5 => UNS * INC # H9: 2,5 => UNS * INC # B5: 1,4 => UNS * INC # B5: 2,7 => UNS * INC # C5: 1,4 => UNS * INC # C5: 2,7 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 4,5 => UNS * INC # D6: 4,5 => UNS * INC # E5: 2,5 => UNS * INC # E5: 7 => UNS * INC # I3: 2,5 => UNS * INC # I8: 2,5 => UNS * INC # I9: 2,5 => UNS * INC # H8: 2,5 => UNS * INC # H9: 2,5 => UNS * INC # B5: 1,4 => UNS * INC # B5: 2,7 => UNS * INC # C5: 1,4 => UNS * INC # C5: 2,7 => UNS * INC # D5: 4,5 # G3: 5,6 => UNS * INC # D5: 4,5 # G3: 2,7 => UNS * INC # D5: 4,5 # I8: 5,6 => UNS * INC # D5: 4,5 # I9: 5,6 => UNS * INC # D5: 4,5 # B6: 2,6 => UNS * INC # D5: 4,5 # C6: 2,6 => UNS * INC # D5: 4,5 # A3: 2,6 => UNS * INC # D5: 4,5 # A8: 2,6 => UNS * INC # D5: 4,5 # A9: 2,6 => UNS * INC # D5: 4,5 # I8: 3,8 => UNS * INC # D5: 4,5 # I8: 5,6 => UNS * INC # D5: 4,5 # I9: 3,8 => UNS * INC # D5: 4,5 # I9: 5,6 => UNS * INC # D5: 4,5 # I8: 5,6 => UNS * INC # D5: 4,5 # I9: 5,6 => UNS * INC # D5: 4,5 # A8: 5,6 => UNS * INC # D5: 4,5 # A8: 2,7 => UNS * INC # D5: 4,5 # G3: 5,6 => UNS * INC # D5: 4,5 # G3: 2,7 => UNS * INC # D5: 4,5 => UNS * INC # D6: 4,5 # E5: 2,5 => UNS * INC # D6: 4,5 # E5: 7 => UNS * INC # D6: 4,5 # I3: 2,5 => UNS * DIS # D6: 4,5 # I8: 2,5 => CTR => I8: 3,6,8 * DIS # D6: 4,5 + I8: 3,6,8 # I9: 2,5 => CTR => I9: 3,6,8 * INC # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 # I3: 2,5 => UNS * PRF # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 # I3: 6 => SOL * STA # D6: 4,5 + I8: 3,6,8 + I9: 3,6,8 + I3: 6 * CNT 40 HDP CHAINS / 41 HYP OPENED