Analysis of xx-ph-00262539-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: .......12.....3..4..2.5.6....1.4...6.3.7.....8....9.....5.1..6..7....4..9..8..5.. initial
Autosolve
position: .......12.....3.54..2.5.6....1.4...6.3.7.....8....9.....5.1..6..7....4..9..8..5.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for A4,C6: 7..:
* DIS # A4: 7 # C1: 4,6 => CTR => C1: 3,7,8,9 * CNT 1 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for D2,E2: 2..:
* DIS # E2: 2 # F5: 6,8 => CTR => F5: 1,2,5 * DIS # E2: 2 + F5: 1,2,5 # D6: 3,6 => CTR => D6: 1,2,5 * DIS # E2: 2 + F5: 1,2,5 + D6: 1,2,5 # D8: 3,9 => CTR => D8: 2,5,6 * CNT 3 HDP CHAINS / 24 HYP OPENED
List of important HDP chains detected for B7,C8: 8..:
* DIS # B7: 8 # C1: 3,6 => CTR => C1: 4,7,8,9 * DIS # C8: 8 # D7: 2,4 => CTR => D7: 3,9 * DIS # C8: 8 + D7: 3,9 # F7: 2,4 => CTR => F7: 7 * PRF # C8: 8 + D7: 3,9 + F7: 7 # E1: 6,8 => SOL * STA # C8: 8 + D7: 3,9 + F7: 7 + E1: 6,8 * CNT 4 HDP CHAINS / 32 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
| .......12.....3..4..2.5.6....1.4...6.3.7.....8....9.....5.1..6..7....4..9..8..5.. | initial |
| .......12.....3.54..2.5.6....1.4...6.3.7.....8....9.....5.1..6..7....4..9..8..5.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F5,D6: 1.. / F5 = 1 => 0 pairs (_) / D6 = 1 => 1 pairs (_) G5,G6: 1.. / G5 = 1 => 1 pairs (_) / G6 = 1 => 0 pairs (_) A8,B9: 1.. / A8 = 1 => 1 pairs (_) / B9 = 1 => 1 pairs (_) I8,I9: 1.. / I8 = 1 => 1 pairs (_) / I9 = 1 => 1 pairs (_) F5,G5: 1.. / F5 = 1 => 0 pairs (_) / G5 = 1 => 1 pairs (_) D6,G6: 1.. / D6 = 1 => 1 pairs (_) / G6 = 1 => 0 pairs (_) A8,I8: 1.. / A8 = 1 => 1 pairs (_) / I8 = 1 => 1 pairs (_) B9,I9: 1.. / B9 = 1 => 1 pairs (_) / I9 = 1 => 1 pairs (_) F3,F5: 1.. / F3 = 1 => 1 pairs (_) / F5 = 1 => 0 pairs (_) D2,E2: 2.. / D2 = 2 => 1 pairs (_) / E2 = 2 => 2 pairs (_) H5,H6: 4.. / H5 = 4 => 1 pairs (_) / H6 = 4 => 1 pairs (_) A1,B1: 5.. / A1 = 5 => 1 pairs (_) / B1 = 5 => 1 pairs (_) I5,I6: 5.. / I5 = 5 => 1 pairs (_) / I6 = 5 => 1 pairs (_) D8,F8: 5.. / D8 = 5 => 2 pairs (_) / F8 = 5 => 1 pairs (_) A4,C6: 7.. / A4 = 7 => 2 pairs (_) / C6 = 7 => 2 pairs (_) B7,C8: 8.. / B7 = 8 => 1 pairs (_) / C8 = 8 => 1 pairs (_) B4,C5: 9.. / B4 = 9 => 1 pairs (_) / C5 = 9 => 2 pairs (_) * DURATION: 0:00:10.910554 START: 04:22:13.548560 END: 04:22:24.459114 2020-12-24 * CP COUNT: (17) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A4,C6: 7.. / A4 = 7 ==> 2 pairs (_) / C6 = 7 ==> 2 pairs (_) B4,C5: 9.. / B4 = 9 ==> 1 pairs (_) / C5 = 9 ==> 2 pairs (_) D8,F8: 5.. / D8 = 5 ==> 2 pairs (_) / F8 = 5 ==> 1 pairs (_) D2,E2: 2.. / D2 = 2 ==> 1 pairs (_) / E2 = 2 ==> 4 pairs (_) B7,C8: 8.. / B7 = 8 ==> 2 pairs (_) / C8 = 8 ==> 0 pairs (*) * DURATION: 0:01:09.140069 START: 04:22:24.459823 END: 04:23:33.599892 2020-12-24 * REASONING A4,C6: 7.. * DIS # A4: 7 # C1: 4,6 => CTR => C1: 3,7,8,9 * CNT 1 HDP CHAINS / 38 HYP OPENED * REASONING D2,E2: 2.. * DIS # E2: 2 # F5: 6,8 => CTR => F5: 1,2,5 * DIS # E2: 2 + F5: 1,2,5 # D6: 3,6 => CTR => D6: 1,2,5 * DIS # E2: 2 + F5: 1,2,5 + D6: 1,2,5 # D8: 3,9 => CTR => D8: 2,5,6 * CNT 3 HDP CHAINS / 24 HYP OPENED * REASONING B7,C8: 8.. * DIS # B7: 8 # C1: 3,6 => CTR => C1: 4,7,8,9 * DIS # C8: 8 # D7: 2,4 => CTR => D7: 3,9 * DIS # C8: 8 + D7: 3,9 # F7: 2,4 => CTR => F7: 7 * PRF # C8: 8 + D7: 3,9 + F7: 7 # E1: 6,8 => SOL * STA # C8: 8 + D7: 3,9 + F7: 7 + E1: 6,8 * CNT 4 HDP CHAINS / 32 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
262539;12_12_03;dob;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A4,C6: 7..:
* INC # A4: 7 # B2: 1,6 => UNS * INC # A4: 7 # B2: 8,9 => UNS * INC # A4: 7 # D2: 1,6 => UNS * INC # A4: 7 # D2: 2,9 => UNS * INC # A4: 7 # A8: 1,6 => UNS * INC # A4: 7 # A8: 2,3 => UNS * INC # A4: 7 # A5: 4,6 => UNS * INC # A4: 7 # C5: 4,6 => UNS * INC # A4: 7 # B6: 4,6 => UNS * DIS # A4: 7 # C1: 4,6 => CTR => C1: 3,7,8,9 * INC # A4: 7 + C1: 3,7,8,9 # C9: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C9: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C9: 3 => UNS * INC # A4: 7 + C1: 3,7,8,9 # A5: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C5: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # B6: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C9: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C9: 3 => UNS * INC # A4: 7 + C1: 3,7,8,9 # B2: 1,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # B2: 8,9 => UNS * INC # A4: 7 + C1: 3,7,8,9 # D2: 1,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # D2: 2,9 => UNS * INC # A4: 7 + C1: 3,7,8,9 # A8: 1,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # A8: 2,3 => UNS * INC # A4: 7 + C1: 3,7,8,9 # A5: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C5: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # B6: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C9: 4,6 => UNS * INC # A4: 7 + C1: 3,7,8,9 # C9: 3 => UNS * INC # A4: 7 + C1: 3,7,8,9 => UNS * INC # C6: 7 # B4: 2,5 => UNS * INC # C6: 7 # A5: 2,5 => UNS * INC # C6: 7 # B6: 2,5 => UNS * INC # C6: 7 # D4: 2,5 => UNS * INC # C6: 7 # F4: 2,5 => UNS * INC # C6: 7 # D6: 3,5 => UNS * INC # C6: 7 # D6: 1,2,6 => UNS * INC # C6: 7 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for B4,C5: 9..:
* INC # C5: 9 # A4: 2,5 => UNS * INC # C5: 9 # A5: 2,5 => UNS * INC # C5: 9 # B6: 2,5 => UNS * INC # C5: 9 # D4: 2,5 => UNS * INC # C5: 9 # F4: 2,5 => UNS * INC # C5: 9 # F5: 5,8 => UNS * INC # C5: 9 # F5: 1,2,6 => UNS * INC # C5: 9 => UNS * INC # B4: 9 # A5: 4,6 => UNS * INC # B4: 9 # B6: 4,6 => UNS * INC # B4: 9 # C6: 4,6 => UNS * INC # B4: 9 # C1: 4,6 => UNS * INC # B4: 9 # C9: 4,6 => UNS * INC # B4: 9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D8,F8: 5..:
* INC # D8: 5 # D6: 2,3 => UNS * INC # D8: 5 # E6: 2,3 => UNS * INC # D8: 5 # G4: 2,3 => UNS * INC # D8: 5 # H4: 2,3 => UNS * INC # D8: 5 # D7: 2,3 => UNS * INC # D8: 5 # D7: 4,9 => UNS * INC # D8: 5 # E8: 2,6 => UNS * INC # D8: 5 # E9: 2,6 => UNS * INC # D8: 5 # F9: 2,6 => UNS * INC # D8: 5 # A8: 2,6 => UNS * INC # D8: 5 # A8: 1,3 => UNS * INC # D8: 5 # F5: 2,6 => UNS * INC # D8: 5 # F5: 1,5,8 => UNS * INC # D8: 5 => UNS * INC # F8: 5 # E5: 2,8 => UNS * INC # F8: 5 # F5: 2,8 => UNS * INC # F8: 5 # G4: 2,8 => UNS * INC # F8: 5 # H4: 2,8 => UNS * INC # F8: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for D2,E2: 2..:
* DIS # E2: 2 # F5: 6,8 => CTR => F5: 1,2,5 * INC # E2: 2 + F5: 1,2,5 # E1: 6,8 => UNS * INC # E2: 2 + F5: 1,2,5 # E1: 7,9 => UNS * DIS # E2: 2 + F5: 1,2,5 # D6: 3,6 => CTR => D6: 1,2,5 * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 # D7: 3,9 => UNS * DIS # E2: 2 + F5: 1,2,5 + D6: 1,2,5 # D8: 3,9 => CTR => D8: 2,5,6 * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # D7: 3,9 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # D7: 2,4 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # H8: 3,9 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # I8: 3,9 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # H9: 3,7 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # I9: 3,7 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # D7: 3,9 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # D7: 2,4 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # H8: 3,9 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # I8: 3,9 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # H9: 3,7 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 # I9: 3,7 => UNS * INC # E2: 2 + F5: 1,2,5 + D6: 1,2,5 + D8: 2,5,6 => UNS * INC # D2: 2 # D6: 3,5 => UNS * INC # D2: 2 # D6: 1,6 => UNS * INC # D2: 2 # D8: 3,5 => UNS * INC # D2: 2 # D8: 6,9 => UNS * INC # D2: 2 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for B7,C8: 8..:
* INC # B7: 8 # A8: 3,6 => UNS * INC # B7: 8 # C9: 3,6 => UNS * INC # B7: 8 # D8: 3,6 => UNS * INC # B7: 8 # E8: 3,6 => UNS * DIS # B7: 8 # C1: 3,6 => CTR => C1: 4,7,8,9 * INC # B7: 8 + C1: 4,7,8,9 # C9: 3,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # C9: 4 => UNS * INC # B7: 8 + C1: 4,7,8,9 # D8: 3,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # E8: 3,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # B9: 2,4 => UNS * INC # B7: 8 + C1: 4,7,8,9 # B9: 1,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # D7: 2,4 => UNS * INC # B7: 8 + C1: 4,7,8,9 # F7: 2,4 => UNS * INC # B7: 8 + C1: 4,7,8,9 # A5: 2,4 => UNS * INC # B7: 8 + C1: 4,7,8,9 # A5: 5,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # C9: 3,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # C9: 4 => UNS * INC # B7: 8 + C1: 4,7,8,9 # D8: 3,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 # E8: 3,6 => UNS * INC # B7: 8 + C1: 4,7,8,9 => UNS * INC # C8: 8 # A7: 2,4 => UNS * INC # C8: 8 # B9: 2,4 => UNS * DIS # C8: 8 # D7: 2,4 => CTR => D7: 3,9 * DIS # C8: 8 + D7: 3,9 # F7: 2,4 => CTR => F7: 7 * INC # C8: 8 + D7: 3,9 + F7: 7 # B6: 2,4 => UNS * INC # C8: 8 + D7: 3,9 + F7: 7 # B6: 5,6 => UNS * INC # C8: 8 + D7: 3,9 + F7: 7 # A7: 2,4 => UNS * INC # C8: 8 + D7: 3,9 + F7: 7 # A7: 3 => UNS * INC # C8: 8 + D7: 3,9 + F7: 7 # B6: 2,4 => UNS * INC # C8: 8 + D7: 3,9 + F7: 7 # B6: 5,6 => UNS * PRF # C8: 8 + D7: 3,9 + F7: 7 # E1: 6,8 => SOL * STA # C8: 8 + D7: 3,9 + F7: 7 + E1: 6,8 * CNT 31 HDP CHAINS / 32 HYP OPENED