Analysis of xx-ph-02210323-2018_12_06-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5..9..8....7.6....7.8....4..5.3..7..........63.......2.9..1...7..56..9.. initial
Autosolve
position: 98.7..6..5..9..87...7.6....7.8....4..5.3..7..........63.......2.9..1...7..56..9.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B4,F4: 6..:
* DIS # B4: 6 # H6: 1,2 => CTR => H6: 5,9 * DIS # B4: 6 + H6: 5,9 # C6: 1,2 => CTR => C6: 3,4,9 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 # D6: 1,2 => CTR => D6: 4,5,8 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 # F6: 1,2 => CTR => F6: 4,5,7,8,9 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 # H5: 9 => CTR => H5: 1,2 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 # G3: 4 => CTR => G3: 1,2 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 # B6: 1,2 => CTR => B6: 3,4 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 # B7: 1,4 => CTR => B7: 7 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 # D8: 5 => CTR => D8: 2,4 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 + D8: 2,4 # C1: 2,4 => CTR => C1: 3 * PRF # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 + D8: 2,4 + C1: 3 => SOL * STA B4: 6 * CNT 11 HDP CHAINS / 23 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
| 98.7..6..5..9..8....7.6....7.8....4..5.3..7..........63.......2.9..1...7..56..9.. | initial |
| 98.7..6..5..9..87...7.6....7.8....4..5.3..7..........63.......2.9..1...7..56..9.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,C2: 6.. / B2 = 6 => 0 pairs (_) / C2 = 6 => 2 pairs (_) F4,F5: 6.. / F4 = 6 => 0 pairs (_) / F5 = 6 => 4 pairs (_) H7,H8: 6.. / H7 = 6 => 1 pairs (_) / H8 = 6 => 1 pairs (_) B4,F4: 6.. / B4 = 6 => 4 pairs (_) / F4 = 6 => 0 pairs (_) A5,A8: 6.. / A5 = 6 => 0 pairs (_) / A8 = 6 => 3 pairs (_) E6,F6: 7.. / E6 = 7 => 0 pairs (_) / F6 = 7 => 0 pairs (_) B7,B9: 7.. / B7 = 7 => 0 pairs (_) / B9 = 7 => 2 pairs (_) D3,F3: 8.. / D3 = 8 => 1 pairs (_) / F3 = 8 => 0 pairs (_) A8,A9: 8.. / A8 = 8 => 0 pairs (_) / A9 = 8 => 3 pairs (_) I5,I9: 8.. / I5 = 8 => 0 pairs (_) / I9 = 8 => 2 pairs (_) H3,I3: 9.. / H3 = 9 => 0 pairs (_) / I3 = 9 => 1 pairs (_) C5,C6: 9.. / C5 = 9 => 1 pairs (_) / C6 = 9 => 0 pairs (_) E7,F7: 9.. / E7 = 9 => 1 pairs (_) / F7 = 9 => 0 pairs (_) * DURATION: 0:00:08.635861 START: 10:32:13.587811 END: 10:32:22.223672 2020-10-07 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B4,F4: 6.. / B4 = 6 ==> 0 pairs (*) / F4 = 6 => 0 pairs (X) * DURATION: 0:00:25.132148 START: 10:32:22.224248 END: 10:32:47.356396 2020-10-07 * REASONING B4,F4: 6.. * DIS # B4: 6 # H6: 1,2 => CTR => H6: 5,9 * DIS # B4: 6 + H6: 5,9 # C6: 1,2 => CTR => C6: 3,4,9 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 # D6: 1,2 => CTR => D6: 4,5,8 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 # F6: 1,2 => CTR => F6: 4,5,7,8,9 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 # H5: 9 => CTR => H5: 1,2 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 # G3: 4 => CTR => G3: 1,2 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 # B6: 1,2 => CTR => B6: 3,4 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 # B7: 1,4 => CTR => B7: 7 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 # D8: 5 => CTR => D8: 2,4 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 + D8: 2,4 # C1: 2,4 => CTR => C1: 3 * PRF # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 + D8: 2,4 + C1: 3 => SOL * STA B4: 6 * CNT 11 HDP CHAINS / 23 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
2210323;2018_12_06;PAQ;24;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B4,F4: 6..:
* INC # B4: 6 # G4: 1,2 => UNS * INC # B4: 6 # H5: 1,2 => UNS * DIS # B4: 6 # H6: 1,2 => CTR => H6: 5,9 * INC # B4: 6 + H6: 5,9 # A6: 1,2 => UNS * INC # B4: 6 + H6: 5,9 # B6: 1,2 => UNS * DIS # B4: 6 + H6: 5,9 # C6: 1,2 => CTR => C6: 3,4,9 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 # D6: 1,2 => CTR => D6: 4,5,8 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 # F6: 1,2 => CTR => F6: 4,5,7,8,9 * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 # G3: 1,2 => UNS * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 # G3: 3,4 => UNS * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 # H5: 1,2 => UNS * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 # H5: 9 => CTR => H5: 1,2 * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 # A6: 1,2 => UNS * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 # B6: 1,2 => UNS * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 # G3: 1,2 => UNS * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 # G3: 4 => CTR => G3: 1,2 * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 # A6: 1,2 => UNS * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 # B6: 1,2 => CTR => B6: 3,4 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 # B7: 1,4 => CTR => B7: 7 * INC # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 # D8: 2,4 => UNS * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 # D8: 5 => CTR => D8: 2,4 * DIS # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 + D8: 2,4 # C1: 2,4 => CTR => C1: 3 * PRF # B4: 6 + H6: 5,9 + C6: 3,4,9 + D6: 4,5,8 + F6: 4,5,7,8,9 + H5: 1,2 + G3: 1,2 + B6: 3,4 + B7: 7 + D8: 2,4 + C1: 3 => SOL * STA B4: 6 * CNT 23 HDP CHAINS / 23 HYP OPENED