Analysis of xx-mith-te3-00104628-base.sdk
Contents
Original Sudoku
level: hard
position: 1....6...457....36698.......763.1.54....746.1....6.37.5....7.137....546.....1.... initial
Autosolve
position: 1....6...457....36698.......763.1.54..5.746.1...56.37.5....7.137....546.....1.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.280985
The following important HDP chains were detected:
* PRF # B8: 2,3 # C9: 9 => SOL * STA # B8: 2,3 + C9: 9 * CNT 1 HDP CHAINS / 39 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1....6...457....36698.......763.1.54....746.1....6.37.5....7.137....546.....1.... | initial |
| 1....6...457....36698.......763.1.54..5.746.1...56.37.5....7.137....546.....1.... | autosolve |
| 123456789457189236698732145276391854385274691914568372562847913731925468849613527 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) B1: 2,3 C1: 2,3 F3: 2,3 H3: 2,4 B6: 1,4 C6: 1,4 G9: 5,7 I9: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 9 pairs (_) / D3 = 1 => 11 pairs (_) G2,G3: 1.. / G2 = 1 => 11 pairs (_) / G3 = 1 => 9 pairs (_) B6,C6: 1.. / B6 = 1 => 10 pairs (_) / C6 = 1 => 6 pairs (_) B8,C8: 1.. / B8 = 1 => 6 pairs (_) / C8 = 1 => 10 pairs (_) D2,G2: 1.. / D2 = 1 => 9 pairs (_) / G2 = 1 => 11 pairs (_) D3,G3: 1.. / D3 = 1 => 11 pairs (_) / G3 = 1 => 9 pairs (_) B6,B8: 1.. / B6 = 1 => 10 pairs (_) / B8 = 1 => 6 pairs (_) C6,C8: 1.. / C6 = 1 => 6 pairs (_) / C8 = 1 => 10 pairs (_) B1,C1: 2.. / B1 = 2 => 8 pairs (_) / C1 = 2 => 9 pairs (_) B1,C1: 3.. / B1 = 3 => 9 pairs (_) / C1 = 3 => 8 pairs (_) E3,F3: 3.. / E3 = 3 => 16 pairs (_) / F3 = 3 => 7 pairs (_) A5,B5: 3.. / A5 = 3 => 10 pairs (_) / B5 = 3 => 6 pairs (_) E8,F9: 3.. / E8 = 3 => 7 pairs (_) / F9 = 3 => 16 pairs (_) A5,A9: 3.. / A5 = 3 => 10 pairs (_) / A9 = 3 => 6 pairs (_) E3,E8: 3.. / E3 = 3 => 16 pairs (_) / E8 = 3 => 7 pairs (_) F3,F9: 3.. / F3 = 3 => 7 pairs (_) / F9 = 3 => 16 pairs (_) H1,H3: 4.. / H1 = 4 => 11 pairs (_) / H3 = 4 => 8 pairs (_) B6,C6: 4.. / B6 = 4 => 6 pairs (_) / C6 = 4 => 10 pairs (_) E1,E3: 5.. / E1 = 5 => 11 pairs (_) / E3 = 5 => 8 pairs (_) G9,I9: 5.. / G9 = 5 => 9 pairs (_) / I9 = 5 => 7 pairs (_) B7,B9: 6.. / B7 = 6 => 9 pairs (_) / B9 = 6 => 8 pairs (_) D7,D9: 6.. / D7 = 6 => 8 pairs (_) / D9 = 6 => 9 pairs (_) B7,D7: 6.. / B7 = 6 => 9 pairs (_) / D7 = 6 => 8 pairs (_) B9,D9: 6.. / B9 = 6 => 8 pairs (_) / D9 = 6 => 9 pairs (_) D1,D3: 7.. / D1 = 7 => 8 pairs (_) / D3 = 7 => 10 pairs (_) G9,I9: 7.. / G9 = 7 => 7 pairs (_) / I9 = 7 => 9 pairs (_) * DURATION: 0:00:08.342953 START: 01:47:39.832225 END: 01:47:48.175178 2025-04-05 * CP COUNT: (26) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:08.134354 START: 01:47:53.770711 END: 01:48:01.905065 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00104628-base-pr-002.dot * REASONING * PRF # B8: 2,3 # C9: 9 => SOL * STA # B8: 2,3 + C9: 9 * CNT 1 HDP CHAINS / 39 HYP OPENED
Header Info
rating: 26251; r2: 522919; index: 104628
Solution
position: 123456789457189236698732145276391854385274691914568372562847913731925468849613527 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 # B5: 2,3 => UNS * INC # B8: 2,3 => UNS * INC # B9: 2,3 => UNS * INC # C8: 2,3 => UNS * INC # C9: 2,3 => UNS * INC # E3: 2,3 => UNS * INC # E3: 4,5 => UNS * INC # F9: 2,3 => UNS * INC # F9: 8,9 => UNS * INC # D3: 2,4 => UNS * INC # E3: 2,4 => UNS * INC # G1: 5,7 => UNS * INC # G3: 5,7 => UNS * INC # I1: 5,7 => UNS * INC # I3: 5,7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B5: 2,3 => UNS * INC # B8: 2,3 => UNS * INC # B9: 2,3 => UNS * INC # C8: 2,3 => UNS * INC # C9: 2,3 => UNS * INC # E3: 2,3 => UNS * INC # E3: 4,5 => UNS * INC # F9: 2,3 => UNS * INC # F9: 8,9 => UNS * INC # D3: 2,4 => UNS * INC # E3: 2,4 => UNS * INC # G1: 5,7 => UNS * INC # G3: 5,7 => UNS * INC # I1: 5,7 => UNS * INC # I3: 5,7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B5: 2,3 => UNS * INC # B8: 2,3 => UNS * INC # B9: 2,3 => UNS * INC # C8: 2,3 => UNS * INC # C9: 2,3 => UNS * INC # E3: 2,3 => UNS * INC # E3: 4,5 => UNS * INC # F9: 2,3 => UNS * INC # F9: 8,9 => UNS * INC # D3: 2,4 => UNS * INC # E3: 2,4 => UNS * INC # G1: 5,7 => UNS * INC # G3: 5,7 => UNS * INC # I1: 5,7 => UNS * INC # I3: 5,7 => UNS * INC # B5: 2,3 # C8: 2,3 => UNS * INC # B5: 2,3 # C9: 2,3 => UNS * INC # B5: 2,3 # E3: 2,3 => UNS * INC # B5: 2,3 # E3: 4,5 => UNS * INC # B5: 2,3 # F9: 2,3 => UNS * INC # B5: 2,3 # F9: 8,9 => UNS * INC # B5: 2,3 # D3: 2,4 => UNS * INC # B5: 2,3 # E3: 2,4 => UNS * INC # B5: 2,3 # A5: 2,3 => UNS * INC # B5: 2,3 # A5: 8,9 => UNS * INC # B5: 2,3 # C8: 2,3 => UNS * INC # B5: 2,3 # C9: 2,3 => UNS * INC # B5: 2,3 # F9: 2,3 => UNS * INC # B5: 2,3 # F9: 8,9 => UNS * INC # B5: 2,3 # A5: 2,3 => UNS * INC # B5: 2,3 # A5: 8,9 => UNS * INC # B5: 2,3 # G1: 5,7 => UNS * INC # B5: 2,3 # G3: 5,7 => UNS * INC # B5: 2,3 # I1: 5,7 => UNS * INC # B5: 2,3 # I3: 5,7 => UNS * INC # B5: 2,3 => UNS * INC # B8: 2,3 # C9: 2,3 => UNS * PRF # B8: 2,3 # C9: 9 => SOL * STA # B8: 2,3 + C9: 9 * CNT 38 HDP CHAINS / 39 HYP OPENED