Analysis of xx-mith-te3-00086197-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.567....718....8..3.7....85..3.7....5.1...6.187..53.1....69.........4...6185.7 initial
Autosolve
position: 1.3.567....718....8..3.7....85..3.7....5.1...6.187..53.1....69.........4...6185.7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:07.075687
The following important HDP chains were detected:
* DIS # A8: 3,7 # B2: 2,9 => CTR => B2: 4,5,6 * PRF # A8: 3,7 + B2: 4,5,6 # G2: 2,9 => SOL * STA # A8: 3,7 + B2: 4,5,6 + G2: 2,9 * CNT 2 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.567....718....8..3.7....85..3.7....5.1...6.187..53.1....69.........4...6185.7 | initial |
| 1.3.567....718....8..3.7....85..3.7....5.1...6.187..53.1....69.........4...6185.7 | autosolve |
| 123456789457189236896327145285963471379541862641872953512734698768295314934618527 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) A5: 3,7 B5: 3,7 C7: 2,8 C8: 6,8 D7: 4,7 E7: 3,4 F7: 4,5 I7: 2,8 H9: 2,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,I4: 1.. / G4 = 1 => 10 pairs (_) / I4 = 1 => 9 pairs (_) G8,H8: 1.. / G8 = 1 => 10 pairs (_) / H8 = 1 => 10 pairs (_) H3,H8: 1.. / H3 = 1 => 10 pairs (_) / H8 = 1 => 10 pairs (_) I3,I4: 1.. / I3 = 1 => 10 pairs (_) / I4 = 1 => 9 pairs (_) I7,H9: 2.. / I7 = 2 => 11 pairs (_) / H9 = 2 => 13 pairs (_) C7,I7: 2.. / C7 = 2 => 13 pairs (_) / I7 = 2 => 11 pairs (_) G2,H2: 3.. / G2 = 3 => 10 pairs (_) / H2 = 3 => 0 pairs (*) A5,B5: 3.. / A5 = 3 => 10 pairs (_) / B5 = 3 => 10 pairs (_) E7,E8: 3.. / E7 = 3 => 10 pairs (_) / E8 = 3 => 8 pairs (_) A7,E7: 3.. / A7 = 3 => 8 pairs (_) / E7 = 3 => 10 pairs (_) B9,H9: 3.. / B9 = 3 => 13 pairs (_) / H9 = 3 => 11 pairs (_) G2,G8: 3.. / G2 = 3 => 10 pairs (_) / G8 = 3 => 0 pairs (*) B2,B3: 5.. / B2 = 5 => 9 pairs (_) / B3 = 5 => 9 pairs (_) I2,I3: 5.. / I2 = 5 => 9 pairs (_) / I3 = 5 => 9 pairs (_) A7,A8: 5.. / A7 = 5 => 11 pairs (_) / A8 = 5 => 10 pairs (_) F7,F8: 5.. / F7 = 5 => 10 pairs (_) / F8 = 5 => 11 pairs (_) B2,I2: 5.. / B2 = 5 => 9 pairs (_) / I2 = 5 => 9 pairs (_) B3,I3: 5.. / B3 = 5 => 9 pairs (_) / I3 = 5 => 9 pairs (_) A7,F7: 5.. / A7 = 5 => 11 pairs (_) / F7 = 5 => 10 pairs (_) A8,F8: 5.. / A8 = 5 => 10 pairs (_) / F8 = 5 => 11 pairs (_) E4,E5: 6.. / E4 = 6 => 9 pairs (_) / E5 = 6 => 10 pairs (_) B8,C8: 6.. / B8 = 6 => 13 pairs (_) / C8 = 6 => 11 pairs (_) E4,I4: 6.. / E4 = 6 => 9 pairs (_) / I4 = 6 => 10 pairs (_) C3,C8: 6.. / C3 = 6 => 13 pairs (_) / C8 = 6 => 11 pairs (_) A5,B5: 7.. / A5 = 7 => 10 pairs (_) / B5 = 7 => 10 pairs (_) D7,D8: 7.. / D7 = 7 => 10 pairs (_) / D8 = 7 => 9 pairs (_) A7,D7: 7.. / A7 = 7 => 9 pairs (_) / D7 = 7 => 10 pairs (_) B5,B8: 7.. / B5 = 7 => 10 pairs (_) / B8 = 7 => 10 pairs (_) H1,I1: 8.. / H1 = 8 => 11 pairs (_) / I1 = 8 => 12 pairs (_) C7,C8: 8.. / C7 = 8 => 11 pairs (_) / C8 = 8 => 13 pairs (_) C7,I7: 8.. / C7 = 8 => 11 pairs (_) / I7 = 8 => 13 pairs (_) G5,G8: 8.. / G5 = 8 => 10 pairs (_) / G8 = 8 => 9 pairs (_) * DURATION: 0:00:10.094960 START: 22:16:46.318322 END: 22:16:56.413282 2025-04-04 * CP COUNT: (32) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.933076 START: 22:16:59.944586 END: 22:17:06.877662 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00086197-base-pr-002.dot * REASONING * DIS # A8: 3,7 # B2: 2,9 => CTR => B2: 4,5,6 * PRF # A8: 3,7 + B2: 4,5,6 # G2: 2,9 => SOL * STA # A8: 3,7 + B2: 4,5,6 + G2: 2,9 * CNT 2 HDP CHAINS / 31 HYP OPENED
Header Info
rating: 21541; r2: 461163; index: 86197
Solution
position: 123456789457189236896327145285963471379541862641872953512734698768295314934618527 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 # A7: 3,7 => UNS * INC # A8: 3,7 => UNS * INC # B8: 3,7 => UNS * INC # B8: 6 => UNS * INC # I1: 2,8 => UNS * INC # I5: 2,8 => UNS * INC # B9: 2,3 => UNS * INC # B9: 4,9 => UNS * INC # H2: 2,3 => UNS * INC # H2: 4,6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 3,7 => UNS * INC # A8: 3,7 => UNS * INC # B8: 3,7 => UNS * INC # B8: 6 => UNS * INC # I1: 2,8 => UNS * INC # I5: 2,8 => UNS * INC # B9: 2,3 => UNS * INC # B9: 4,9 => UNS * INC # H2: 2,3 => UNS * INC # H2: 4,6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 3,7 => UNS * INC # A8: 3,7 => UNS * INC # B8: 3,7 => UNS * INC # B8: 6 => UNS * INC # I1: 2,8 => UNS * INC # I5: 2,8 => UNS * INC # B9: 2,3 => UNS * INC # B9: 4,9 => UNS * INC # H2: 2,3 => UNS * INC # H2: 4,6 => UNS * INC # A7: 3,7 # B8: 3,7 => UNS * INC # A7: 3,7 # B8: 6 => UNS * INC # A7: 3,7 # B8: 3,7 => UNS * INC # A7: 3,7 # B8: 6 => UNS * INC # A7: 3,7 # D8: 2,9 => UNS * INC # A7: 3,7 # E8: 2,9 => UNS * INC # A7: 3,7 # F2: 2,9 => UNS * INC # A7: 3,7 # F6: 2,9 => UNS * INC # A7: 3,7 # I1: 2,8 => UNS * INC # A7: 3,7 # I5: 2,8 => UNS * INC # A7: 3,7 # B9: 2,3 => UNS * INC # A7: 3,7 # B9: 4,9 => UNS * INC # A7: 3,7 # H2: 2,3 => UNS * INC # A7: 3,7 # H2: 4,6 => UNS * INC # A7: 3,7 => UNS * INC # A8: 3,7 # D1: 2,9 => UNS * INC # A8: 3,7 # E3: 2,9 => UNS * INC # A8: 3,7 # A2: 2,9 => UNS * DIS # A8: 3,7 # B2: 2,9 => CTR => B2: 4,5,6 * PRF # A8: 3,7 + B2: 4,5,6 # G2: 2,9 => SOL * STA # A8: 3,7 + B2: 4,5,6 + G2: 2,9 * CNT 30 HDP CHAINS / 31 HYP OPENED