Analysis of xx-ph-00067616-12_11-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....7....596.....9....6...5.47..4..........6.4.3.4..5..79...2.7...3........1 initial
Autosolve
position: 98.76....7....596.....9...76...5.47..4...7......6.4.3.4..5..79...2.7...3........1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for D8,H8: 4..:
* DIS # D8: 4 # C1: 1,3 => CTR => C1: 5 * DIS # D8: 4 + C1: 5 # C7: 1,3 => CTR => C7: 6,8 * DIS # D8: 4 + C1: 5 + C7: 6,8 # I5: 2,8 => CTR => I5: 5,6,9 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 # I6: 2,8 => CTR => I6: 5,9 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 # I7: 2,8 => CTR => I7: 6 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 # H3: 2,8 => CTR => H3: 1,5 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 + H3: 1,5 # D2: 2,8 => CTR => D2: 3 * PRF # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 + H3: 1,5 + D2: 3 => SOL * STA D8: 4 * CNT 8 HDP CHAINS / 25 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
| 98.76....7....596.....9....6...5.47..4..........6.4.3.4..5..79...2.7...3........1 | initial |
| 98.76....7....596.....9...76...5.47..4...7......6.4.3.4..5..79...2.7...3........1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,G3: 3.. / G1 = 3 => 1 pairs (_) / G3 = 3 => 0 pairs (_) I1,I2: 4.. / I1 = 4 => 1 pairs (_) / I2 = 4 => 2 pairs (_) H8,H9: 4.. / H8 = 4 => 0 pairs (_) / H9 = 4 => 4 pairs (_) C1,I1: 4.. / C1 = 4 => 2 pairs (_) / I1 = 4 => 1 pairs (_) C3,D3: 4.. / C3 = 4 => 3 pairs (_) / D3 = 4 => 0 pairs (_) D8,H8: 4.. / D8 = 4 => 4 pairs (_) / H8 = 4 => 0 pairs (_) E2,E9: 4.. / E2 = 4 => 3 pairs (_) / E9 = 4 => 0 pairs (_) B3,C3: 6.. / B3 = 6 => 1 pairs (_) / C3 = 6 => 0 pairs (_) G5,I5: 6.. / G5 = 6 => 3 pairs (_) / I5 = 6 => 1 pairs (_) I5,I7: 6.. / I5 = 6 => 1 pairs (_) / I7 = 6 => 3 pairs (_) B6,C6: 7.. / B6 = 7 => 0 pairs (_) / C6 = 7 => 0 pairs (_) B9,C9: 7.. / B9 = 7 => 0 pairs (_) / C9 = 7 => 0 pairs (_) B6,B9: 7.. / B6 = 7 => 0 pairs (_) / B9 = 7 => 0 pairs (_) C6,C9: 7.. / C6 = 7 => 0 pairs (_) / C9 = 7 => 0 pairs (_) * DURATION: 0:00:09.574991 START: 15:23:11.327446 END: 15:23:20.902437 2020-12-22 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D8,H8: 4.. / D8 = 4 ==> 0 pairs (*) / H8 = 4 => 0 pairs (X) * DURATION: 0:00:25.082198 START: 15:23:20.902935 END: 15:23:45.985133 2020-12-22 * REASONING D8,H8: 4.. * DIS # D8: 4 # C1: 1,3 => CTR => C1: 5 * DIS # D8: 4 + C1: 5 # C7: 1,3 => CTR => C7: 6,8 * DIS # D8: 4 + C1: 5 + C7: 6,8 # I5: 2,8 => CTR => I5: 5,6,9 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 # I6: 2,8 => CTR => I6: 5,9 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 # I7: 2,8 => CTR => I7: 6 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 # H3: 2,8 => CTR => H3: 1,5 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 + H3: 1,5 # D2: 2,8 => CTR => D2: 3 * PRF # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 + H3: 1,5 + D2: 3 => SOL * STA D8: 4 * CNT 8 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
67616;12_11;GP;25;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D8,H8: 4..:
* DIS # D8: 4 # C1: 1,3 => CTR => C1: 5 * INC # D8: 4 + C1: 5 # B2: 1,3 => UNS * INC # D8: 4 + C1: 5 # A3: 1,3 => UNS * INC # D8: 4 + C1: 5 # D2: 1,3 => UNS * INC # D8: 4 + C1: 5 # D2: 2,8 => UNS * INC # D8: 4 + C1: 5 # C4: 1,3 => UNS * INC # D8: 4 + C1: 5 # C5: 1,3 => UNS * DIS # D8: 4 + C1: 5 # C7: 1,3 => CTR => C7: 6,8 * INC # D8: 4 + C1: 5 + C7: 6,8 # B2: 1,3 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # A3: 1,3 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # D2: 1,3 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # D2: 2,8 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # C4: 1,3 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # C5: 1,3 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # G3: 2,8 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # H3: 2,8 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # D2: 2,8 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # D2: 1,3 => UNS * INC # D8: 4 + C1: 5 + C7: 6,8 # I4: 2,8 => UNS * DIS # D8: 4 + C1: 5 + C7: 6,8 # I5: 2,8 => CTR => I5: 5,6,9 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 # I6: 2,8 => CTR => I6: 5,9 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 # I7: 2,8 => CTR => I7: 6 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 # H3: 2,8 => CTR => H3: 1,5 * DIS # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 + H3: 1,5 # D2: 2,8 => CTR => D2: 3 * PRF # D8: 4 + C1: 5 + C7: 6,8 + I5: 5,6,9 + I6: 5,9 + I7: 6 + H3: 1,5 + D2: 3 => SOL * STA D8: 4 * CNT 25 HDP CHAINS / 25 HYP OPENED