Analysis of xx-ph-00001498-H99-base.sdk
Contents
Original Sudoku
level: deep
position: .......63.....1..5..3.5..9...8.9...6.7...2...1..4.......9.8..5..2.......4..7..8.. initial
Autosolve
position: .......63.....1..5..3.5..9...8.9...6.7...2...1..4.......9.8..5.82.......4..7..8.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for D7,E9: 2..:
* DIS # D7: 2 # D2: 8,9 => CTR => D2: 3,6 * CNT 1 HDP CHAINS / 40 HYP OPENED
List of important HDP chains detected for G7,G8: 6..:
* DIS # G7: 6 # B9: 1,3 => CTR => B9: 5,6 * CNT 1 HDP CHAINS / 13 HYP OPENED
List of important HDP chains detected for A7,C8: 7..:
* DIS # C8: 7 # D7: 3,6 => CTR => D7: 1,2 * PRF # C8: 7 + D7: 1,2 # F7: 3,6 => SOL * STA # C8: 7 + D7: 1,2 + F7: 3,6 * CNT 2 HDP CHAINS / 16 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
| .......63.....1..5..3.5..9...8.9...6.7...2...1..4.......9.8..5..2.......4..7..8.. | initial |
| .......63.....1..5..3.5..9...8.9...6.7...2...1..4.......9.8..5.82.......4..7..8.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,C6: 2.. / A4 = 2 => 2 pairs (_) / C6 = 2 => 1 pairs (_) D7,E9: 2.. / D7 = 2 => 2 pairs (_) / E9 = 2 => 3 pairs (_) D2,E2: 3.. / D2 = 3 => 1 pairs (_) / E2 = 3 => 2 pairs (_) B4,C5: 4.. / B4 = 4 => 1 pairs (_) / C5 = 4 => 1 pairs (_) G7,G8: 6.. / G7 = 6 => 3 pairs (_) / G8 = 6 => 0 pairs (_) A7,C8: 7.. / A7 = 7 => 2 pairs (_) / C8 = 7 => 1 pairs (_) H2,I3: 8.. / H2 = 8 => 0 pairs (_) / I3 = 8 => 1 pairs (_) D5,F6: 8.. / D5 = 8 => 2 pairs (_) / F6 = 8 => 0 pairs (_) A5,B6: 9.. / A5 = 9 => 0 pairs (_) / B6 = 9 => 0 pairs (_) F9,I9: 9.. / F9 = 9 => 1 pairs (_) / I9 = 9 => 0 pairs (_) * DURATION: 0:00:07.827101 START: 21:08:25.834183 END: 21:08:33.661284 2020-11-28 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D7,E9: 2.. / D7 = 2 ==> 3 pairs (_) / E9 = 2 ==> 3 pairs (_) G7,G8: 6.. / G7 = 6 ==> 4 pairs (_) / G8 = 6 ==> 0 pairs (_) A7,C8: 7.. / A7 = 7 ==> 2 pairs (_) / C8 = 7 ==> 0 pairs (*) * DURATION: 0:00:49.105764 START: 21:08:33.662183 END: 21:09:22.767947 2020-11-28 * REASONING D7,E9: 2.. * DIS # D7: 2 # D2: 8,9 => CTR => D2: 3,6 * CNT 1 HDP CHAINS / 40 HYP OPENED * REASONING G7,G8: 6.. * DIS # G7: 6 # B9: 1,3 => CTR => B9: 5,6 * CNT 1 HDP CHAINS / 13 HYP OPENED * REASONING A7,C8: 7.. * DIS # C8: 7 # D7: 3,6 => CTR => D7: 1,2 * PRF # C8: 7 + D7: 1,2 # F7: 3,6 => SOL * STA # C8: 7 + D7: 1,2 + F7: 3,6 * CNT 2 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
1498;H99;col;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,E9: 2..:
* INC # E9: 2 # F1: 4,7 => UNS * INC # E9: 2 # E2: 4,7 => UNS * INC # E9: 2 # F3: 4,7 => UNS * INC # E9: 2 # C1: 4,7 => UNS * INC # E9: 2 # G1: 4,7 => UNS * INC # E9: 2 # G7: 1,3 => UNS * INC # E9: 2 # G8: 1,3 => UNS * INC # E9: 2 # H8: 1,3 => UNS * INC # E9: 2 # B9: 1,3 => UNS * INC # E9: 2 # B9: 5,6 => UNS * INC # E9: 2 # H4: 1,3 => UNS * INC # E9: 2 # H5: 1,3 => UNS * INC # E9: 2 # G8: 1,9 => UNS * INC # E9: 2 # I8: 1,9 => UNS * INC # E9: 2 # I5: 1,9 => UNS * INC # E9: 2 # I5: 4,8 => UNS * INC # E9: 2 => UNS * INC # D7: 2 # F1: 8,9 => UNS * DIS # D7: 2 # D2: 8,9 => CTR => D2: 3,6 * INC # D7: 2 + D2: 3,6 # F1: 8,9 => UNS * INC # D7: 2 + D2: 3,6 # F1: 4,7 => UNS * INC # D7: 2 + D2: 3,6 # F3: 6,8 => UNS * INC # D7: 2 + D2: 3,6 # F3: 4,7 => UNS * INC # D7: 2 + D2: 3,6 # B3: 6,8 => UNS * INC # D7: 2 + D2: 3,6 # B3: 1,4 => UNS * INC # D7: 2 + D2: 3,6 # D5: 6,8 => UNS * INC # D7: 2 + D2: 3,6 # D5: 1,3,5 => UNS * INC # D7: 2 + D2: 3,6 # F1: 8,9 => UNS * INC # D7: 2 + D2: 3,6 # F1: 4,7 => UNS * INC # D7: 2 + D2: 3,6 # E2: 3,6 => UNS * INC # D7: 2 + D2: 3,6 # E2: 2,4,7 => UNS * INC # D7: 2 + D2: 3,6 # D5: 3,6 => UNS * INC # D7: 2 + D2: 3,6 # D8: 3,6 => UNS * INC # D7: 2 + D2: 3,6 # F3: 6,8 => UNS * INC # D7: 2 + D2: 3,6 # F3: 4,7 => UNS * INC # D7: 2 + D2: 3,6 # B3: 6,8 => UNS * INC # D7: 2 + D2: 3,6 # B3: 1,4 => UNS * INC # D7: 2 + D2: 3,6 # D5: 6,8 => UNS * INC # D7: 2 + D2: 3,6 # D5: 1,3,5 => UNS * INC # D7: 2 + D2: 3,6 => UNS * CNT 40 HDP CHAINS / 40 HYP OPENED
Full list of HDP chains traversed for G7,G8: 6..:
* DIS # G7: 6 # B9: 1,3 => CTR => B9: 5,6 * INC # G7: 6 + B9: 5,6 # C8: 5,6 => UNS * INC # G7: 6 + B9: 5,6 # C9: 5,6 => UNS * INC # G7: 6 + B9: 5,6 # F9: 5,6 => UNS * INC # G7: 6 + B9: 5,6 # F9: 3,9 => UNS * INC # G7: 6 + B9: 5,6 # B6: 5,6 => UNS * INC # G7: 6 + B9: 5,6 # B6: 3,9 => UNS * INC # G7: 6 + B9: 5,6 # E9: 1,2 => UNS * INC # G7: 6 + B9: 5,6 # E9: 3,6 => UNS * INC # G7: 6 + B9: 5,6 # I7: 1,2 => UNS * INC # G7: 6 + B9: 5,6 # I7: 7 => UNS * INC # G7: 6 + B9: 5,6 => UNS * INC # G8: 6 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A7,C8: 7..:
* INC # A7: 7 # A2: 2,6 => UNS * INC # A7: 7 # C2: 2,6 => UNS * INC # A7: 7 # D3: 2,6 => UNS * INC # A7: 7 # D3: 8 => UNS * INC # A7: 7 # C5: 4,5 => UNS * INC # A7: 7 # C5: 6 => UNS * INC # A7: 7 # G4: 4,5 => UNS * INC # A7: 7 # G4: 1,2,3,7 => UNS * INC # A7: 7 # B1: 4,5 => UNS * INC # A7: 7 # B1: 1,8,9 => UNS * INC # A7: 7 => UNS * INC # C8: 7 # B7: 3,6 => UNS * INC # C8: 7 # B9: 3,6 => UNS * DIS # C8: 7 # D7: 3,6 => CTR => D7: 1,2 * PRF # C8: 7 + D7: 1,2 # F7: 3,6 => SOL * STA # C8: 7 + D7: 1,2 + F7: 3,6 * CNT 15 HDP CHAINS / 16 HYP OPENED