Analysis of xx-ph-00000321-H12-base.sdk
Contents
Original Sudoku
level: deep
position: ........9.....1.35..3.9..6...5.3...6.7...2...1..4.......9.8..5..2.7.....4.....8.. initial
Autosolve
position: ........9.....1.35..3.9..6...5.3...6.7...2...1..4.......9.8..5..2.7.....4.....8.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for A8,C8: 8..:
* DIS # A8: 8 # C1: 1,6 => CTR => C1: 2,4,7,8 * DIS # A8: 8 + C1: 2,4,7,8 # E8: 1,6 => CTR => E8: 4,5 * DIS # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # H4: 2,9 => CTR => H4: 1,4,7,8 * PRF # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 # G4: 1,4,7 => SOL * STA # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 + G4: 1,4,7 * CNT 4 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| ........9.....1.35..3.9..6...5.3...6.7...2...1..4.......9.8..5..2.7.....4.....8.. | initial |
| ........9.....1.35..3.9..6...5.3...6.7...2...1..4.......9.8..5..2.7.....4.....8.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,C6: 2.. / A4 = 2 => 1 pairs (_) / C6 = 2 => 1 pairs (_) D1,F1: 3.. / D1 = 3 => 0 pairs (_) / F1 = 3 => 1 pairs (_) A5,B6: 3.. / A5 = 3 => 1 pairs (_) / B6 = 3 => 1 pairs (_) B4,C5: 4.. / B4 = 4 => 1 pairs (_) / C5 = 4 => 1 pairs (_) G5,G6: 5.. / G5 = 5 => 1 pairs (_) / G6 = 5 => 1 pairs (_) A8,B9: 5.. / A8 = 5 => 2 pairs (_) / B9 = 5 => 0 pairs (_) G7,G8: 6.. / G7 = 6 => 3 pairs (_) / G8 = 6 => 1 pairs (_) A7,C9: 7.. / A7 = 7 => 1 pairs (_) / C9 = 7 => 1 pairs (_) H1,I3: 8.. / H1 = 8 => 0 pairs (_) / I3 = 8 => 1 pairs (_) A8,C8: 8.. / A8 = 8 => 3 pairs (_) / C8 = 8 => 2 pairs (_) A2,B2: 9.. / A2 = 9 => 1 pairs (_) / B2 = 9 => 1 pairs (_) * DURATION: 0:00:06.650312 START: 13:35:53.148711 END: 13:35:59.799023 2020-10-17 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A8,C8: 8.. / A8 = 8 ==> 0 pairs (*) / C8 = 8 => 0 pairs (X) * DURATION: 0:00:27.544448 START: 13:35:59.799696 END: 13:36:27.344144 2020-10-17 * REASONING A8,C8: 8.. * DIS # A8: 8 # C1: 1,6 => CTR => C1: 2,4,7,8 * DIS # A8: 8 + C1: 2,4,7,8 # E8: 1,6 => CTR => E8: 4,5 * DIS # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # H4: 2,9 => CTR => H4: 1,4,7,8 * PRF # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 # G4: 1,4,7 => SOL * STA # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 + G4: 1,4,7 * CNT 4 HDP CHAINS / 30 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
321;H12;col;21;11.40;11.40;9.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A8,C8: 8..:
* INC # A8: 8 # G4: 2,9 => UNS * INC # A8: 8 # H4: 2,9 => UNS * INC # A8: 8 # A2: 2,9 => UNS * INC # A8: 8 # A2: 6,7 => UNS * INC # A8: 8 # B7: 1,6 => UNS * INC # A8: 8 # C9: 1,6 => UNS * INC # A8: 8 # E8: 1,6 => UNS * INC # A8: 8 # G8: 1,6 => UNS * DIS # A8: 8 # C1: 1,6 => CTR => C1: 2,4,7,8 * INC # A8: 8 + C1: 2,4,7,8 # C9: 1,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 # C9: 7 => UNS * DIS # A8: 8 + C1: 2,4,7,8 # E8: 1,6 => CTR => E8: 4,5 * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G8: 1,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G8: 1,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G8: 3,4,9 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # C9: 1,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # C9: 7 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G8: 1,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G8: 3,4,9 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # F8: 4,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # F8: 3,5,9 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G7: 4,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G7: 1,2,7 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # F1: 4,6 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # F1: 3,5,7,8 => UNS * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # G4: 2,9 => UNS * DIS # A8: 8 + C1: 2,4,7,8 + E8: 4,5 # H4: 2,9 => CTR => H4: 1,4,7,8 * INC # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 # G4: 2,9 => UNS * PRF # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 # G4: 1,4,7 => SOL * STA # A8: 8 + C1: 2,4,7,8 + E8: 4,5 + H4: 1,4,7,8 + G4: 1,4,7 * CNT 29 HDP CHAINS / 30 HYP OPENED