Analysis of xx-ph-00265876-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: .......12.....3..4..1.2.5....4.5...6.3...7...8..9.......5.6..4..9...56..7..8..... initial
Autosolve
position: .......12.....3..4..1.2.5....4.5...6.3...7...8..9.......5.6..4..9...56..7..8..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for B9,C9: 6..:
* DIS # B9: 6 # F9: 2,9 => CTR => F9: 1,4 * CNT 1 HDP CHAINS / 41 HYP OPENED
List of important HDP chains detected for D5,F6: 6..:
* DIS # F6: 6 # B6: 2,7 => CTR => B6: 1,5 * CNT 1 HDP CHAINS / 32 HYP OPENED
List of important HDP chains detected for B7,C8: 8..:
* DIS # C8: 8 # D7: 1,2 => CTR => D7: 3,7 * PRF # C8: 8 + D7: 3,7 # F7: 1,2 => SOL * STA # C8: 8 + D7: 3,7 + F7: 1,2 * CNT 2 HDP CHAINS / 12 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..1.2.5....4.5...6.3...7...8..9.......5.6..4..9...56..7..8..... | initial |
| .......12.....3..4..1.2.5....4.5...6.3...7...8..9.......5.6..4..9...56..7..8..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,E2: 1.. / D2 = 1 => 1 pairs (_) / E2 = 1 => 2 pairs (_) D4,E6: 3.. / D4 = 3 => 1 pairs (_) / E6 = 3 => 1 pairs (_) G5,G6: 4.. / G5 = 4 => 1 pairs (_) / G6 = 4 => 1 pairs (_) A8,B9: 4.. / A8 = 4 => 0 pairs (_) / B9 = 4 => 6 pairs (_) D1,D2: 5.. / D1 = 5 => 0 pairs (_) / D2 = 5 => 2 pairs (_) A5,B6: 5.. / A5 = 5 => 0 pairs (_) / B6 = 5 => 0 pairs (_) H9,I9: 5.. / H9 = 5 => 0 pairs (_) / I9 = 5 => 0 pairs (_) H2,H3: 6.. / H2 = 6 => 0 pairs (_) / H3 = 6 => 1 pairs (_) D5,F6: 6.. / D5 = 6 => 2 pairs (_) / F6 = 6 => 1 pairs (_) B9,C9: 6.. / B9 = 6 => 2 pairs (_) / C9 = 6 => 6 pairs (_) F4,E5: 8.. / F4 = 8 => 1 pairs (_) / E5 = 8 => 1 pairs (_) B7,C8: 8.. / B7 = 8 => 1 pairs (_) / C8 = 8 => 1 pairs (_) * DURATION: 0:00:06.775786 START: 19:13:24.828822 END: 19:13:31.604608 2020-10-01 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B9,C9: 6.. / B9 = 6 ==> 3 pairs (_) / C9 = 6 ==> 6 pairs (_) A8,B9: 4.. / A8 = 4 ==> 0 pairs (_) / B9 = 4 ==> 6 pairs (_) D5,F6: 6.. / D5 = 6 ==> 2 pairs (_) / F6 = 6 ==> 2 pairs (_) D2,E2: 1.. / D2 = 1 ==> 1 pairs (_) / E2 = 1 ==> 2 pairs (_) D1,D2: 5.. / D1 = 5 ==> 0 pairs (_) / D2 = 5 ==> 2 pairs (_) B7,C8: 8.. / B7 = 8 ==> 1 pairs (_) / C8 = 8 ==> 0 pairs (*) * DURATION: 0:01:01.435157 START: 19:13:31.605251 END: 19:14:33.040408 2020-10-01 * REASONING B9,C9: 6.. * DIS # B9: 6 # F9: 2,9 => CTR => F9: 1,4 * CNT 1 HDP CHAINS / 41 HYP OPENED * REASONING D5,F6: 6.. * DIS # F6: 6 # B6: 2,7 => CTR => B6: 1,5 * CNT 1 HDP CHAINS / 32 HYP OPENED * REASONING B7,C8: 8.. * DIS # C8: 8 # D7: 1,2 => CTR => D7: 3,7 * PRF # C8: 8 + D7: 3,7 # F7: 1,2 => SOL * STA # C8: 8 + D7: 3,7 + F7: 1,2 * CNT 2 HDP CHAINS / 12 HYP OPENED * DCP COUNT: (6) * SOLUTION FOUND
Header Info
265876;12_12_03;dob;22;11.50;11.50;9.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B9,C9: 6..:
* INC # C9: 6 # A1: 5,6 => UNS * INC # C9: 6 # A2: 5,6 => UNS * INC # C9: 6 # A4: 2,9 => UNS * INC # C9: 6 # A4: 1 => UNS * INC # C9: 6 # G5: 2,9 => UNS * INC # C9: 6 # H5: 2,9 => UNS * INC # C9: 6 # C2: 2,9 => UNS * INC # C9: 6 # C2: 7,8 => UNS * INC # C9: 6 # B1: 5,6 => UNS * INC # C9: 6 # B2: 5,6 => UNS * INC # C9: 6 # B4: 2,7 => UNS * INC # C9: 6 # B4: 1 => UNS * INC # C9: 6 # G6: 2,7 => UNS * INC # C9: 6 # H6: 2,7 => UNS * INC # C9: 6 # C2: 2,7 => UNS * INC # C9: 6 # C2: 8,9 => UNS * INC # C9: 6 # G4: 2,3 => UNS * INC # C9: 6 # H4: 2,3 => UNS * INC # C9: 6 # D7: 2,3 => UNS * INC # C9: 6 # D8: 2,3 => UNS * INC # C9: 6 # G4: 2,8 => UNS * INC # C9: 6 # H4: 2,8 => UNS * INC # C9: 6 => UNS * INC # B9: 6 # A7: 2,3 => UNS * INC # B9: 6 # C8: 2,3 => UNS * INC # B9: 6 # G9: 2,3 => UNS * INC # B9: 6 # H9: 2,3 => UNS * DIS # B9: 6 # F9: 2,9 => CTR => F9: 1,4 * INC # B9: 6 + F9: 1,4 # G7: 2,9 => UNS * INC # B9: 6 + F9: 1,4 # G7: 3,7,8 => UNS * INC # B9: 6 + F9: 1,4 # A7: 2,3 => UNS * INC # B9: 6 + F9: 1,4 # C8: 2,3 => UNS * INC # B9: 6 + F9: 1,4 # G9: 2,3 => UNS * INC # B9: 6 + F9: 1,4 # H9: 2,3 => UNS * INC # B9: 6 + F9: 1,4 # G7: 2,9 => UNS * INC # B9: 6 + F9: 1,4 # G7: 3,7,8 => UNS * INC # B9: 6 + F9: 1,4 # E9: 1,4 => UNS * INC # B9: 6 + F9: 1,4 # E9: 3,9 => UNS * INC # B9: 6 + F9: 1,4 # F6: 1,4 => UNS * INC # B9: 6 + F9: 1,4 # F6: 2,6 => UNS * INC # B9: 6 + F9: 1,4 => UNS * CNT 41 HDP CHAINS / 41 HYP OPENED
Full list of HDP chains traversed for A8,B9: 4..:
* INC # B9: 4 # A1: 5,6 => UNS * INC # B9: 4 # A2: 5,6 => UNS * INC # B9: 4 # A4: 2,9 => UNS * INC # B9: 4 # A4: 1 => UNS * INC # B9: 4 # G5: 2,9 => UNS * INC # B9: 4 # H5: 2,9 => UNS * INC # B9: 4 # C2: 2,9 => UNS * INC # B9: 4 # C2: 7,8 => UNS * INC # B9: 4 # B1: 5,6 => UNS * INC # B9: 4 # B2: 5,6 => UNS * INC # B9: 4 # B4: 2,7 => UNS * INC # B9: 4 # B4: 1 => UNS * INC # B9: 4 # G6: 2,7 => UNS * INC # B9: 4 # H6: 2,7 => UNS * INC # B9: 4 # C2: 2,7 => UNS * INC # B9: 4 # C2: 8,9 => UNS * INC # B9: 4 # G4: 2,3 => UNS * INC # B9: 4 # H4: 2,3 => UNS * INC # B9: 4 # D7: 2,3 => UNS * INC # B9: 4 # D8: 2,3 => UNS * INC # B9: 4 # G4: 2,8 => UNS * INC # B9: 4 # H4: 2,8 => UNS * INC # B9: 4 => UNS * INC # A8: 4 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for D5,F6: 6..:
* INC # D5: 6 # D1: 4,7 => UNS * INC # D5: 6 # E1: 4,7 => UNS * INC # D5: 6 # B3: 4,7 => UNS * INC # D5: 6 # B3: 8 => UNS * INC # D5: 6 # D8: 4,7 => UNS * INC # D5: 6 # D8: 1,2,3 => UNS * INC # D5: 6 # A4: 2,9 => UNS * INC # D5: 6 # A5: 2,9 => UNS * INC # D5: 6 # G5: 2,9 => UNS * INC # D5: 6 # H5: 2,9 => UNS * INC # D5: 6 # C2: 2,9 => UNS * INC # D5: 6 # C2: 7,8 => UNS * INC # D5: 6 => UNS * INC # F6: 6 # B4: 2,7 => UNS * DIS # F6: 6 # B6: 2,7 => CTR => B6: 1,5 * INC # F6: 6 + B6: 1,5 # B4: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # B4: 1 => UNS * INC # F6: 6 + B6: 1,5 # G6: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # H6: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # C2: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # C2: 6,8,9 => UNS * INC # F6: 6 + B6: 1,5 # A5: 1,5 => UNS * INC # F6: 6 + B6: 1,5 # A5: 2,6,9 => UNS * INC # F6: 6 + B6: 1,5 # I6: 1,5 => UNS * INC # F6: 6 + B6: 1,5 # I6: 3,7 => UNS * INC # F6: 6 + B6: 1,5 # B4: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # B4: 1 => UNS * INC # F6: 6 + B6: 1,5 # G6: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # H6: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # C2: 2,7 => UNS * INC # F6: 6 + B6: 1,5 # C2: 6,8,9 => UNS * INC # F6: 6 + B6: 1,5 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for D2,E2: 1..:
* INC # E2: 1 # G5: 4,8 => UNS * INC # E2: 1 # G5: 1,2,9 => UNS * INC # E2: 1 # E1: 4,8 => UNS * INC # E2: 1 # E1: 7,9 => UNS * INC # E2: 1 # G6: 3,4 => UNS * INC # E2: 1 # G6: 1,2,7 => UNS * INC # E2: 1 # E8: 3,4 => UNS * INC # E2: 1 # E9: 3,4 => UNS * INC # E2: 1 => UNS * INC # D2: 1 # G4: 2,3 => UNS * INC # D2: 1 # H4: 2,3 => UNS * INC # D2: 1 # D7: 2,3 => UNS * INC # D2: 1 # D8: 2,3 => UNS * INC # D2: 1 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D1,D2: 5..:
* INC # D2: 5 # G5: 4,8 => UNS * INC # D2: 5 # G5: 1,2,9 => UNS * INC # D2: 5 # E1: 4,8 => UNS * INC # D2: 5 # E1: 7,9 => UNS * INC # D2: 5 # G6: 3,4 => UNS * INC # D2: 5 # G6: 1,2,7 => UNS * INC # D2: 5 # E8: 3,4 => UNS * INC # D2: 5 # E9: 3,4 => UNS * INC # D2: 5 => UNS * INC # D1: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B7,C8: 8..:
* INC # B7: 8 # A7: 2,3 => UNS * INC # B7: 8 # A8: 2,3 => UNS * INC # B7: 8 # C9: 2,3 => UNS * INC # B7: 8 # D8: 2,3 => UNS * INC # B7: 8 # H8: 2,3 => UNS * INC # B7: 8 => UNS * INC # C8: 8 # A7: 1,2 => UNS * INC # C8: 8 # A8: 1,2 => UNS * INC # C8: 8 # B9: 1,2 => UNS * DIS # C8: 8 # D7: 1,2 => CTR => D7: 3,7 * PRF # C8: 8 + D7: 3,7 # F7: 1,2 => SOL * STA # C8: 8 + D7: 3,7 + F7: 1,2 * CNT 11 HDP CHAINS / 12 HYP OPENED