Analysis of xx-dukdiamond2-base.sdk
Contents
Original Sudoku
level: deep
position: 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....53..4...6......77......1. initial
Autosolve
position: 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....53..4...6......77......1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000005
List of important HDP chains detected for C1,A3: 6..:
* DIS # C1: 6 # B3: 8,9 => CTR => B3: 7 * DIS # C1: 6 + B3: 7 # A8: 8,9 => CTR => A8: 2,3,4 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 # E7: 2,6 => CTR => E7: 1,7,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 # E9: 2,6 => CTR => E9: 4,5,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 # F5: 2,6 => CTR => F5: 1,7 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 # F7: 2,6 => CTR => F7: 1,7,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 # F9: 8 => CTR => F9: 2,6 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 # B1: 4,9 => CTR => B1: 5 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 # A2: 4,9 => CTR => A2: 8 * PRF # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 # E4: 2,7 => SOL * STA # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 + E4: 2,7 * CNT 10 HDP CHAINS / 31 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
| 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....53..4...6......77......1. | initial |
| 1.......2.2.....6...34..5.....8.5.....8.3.9.....9.4.....53..4...6......77......1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B7,C8: 1.. / B7 = 1 => 0 pairs (_) / C8 = 1 => 4 pairs (_) E3,F3: 2.. / E3 = 2 => 0 pairs (_) / F3 = 2 => 0 pairs (_) F1,F2: 3.. / F1 = 3 => 1 pairs (_) / F2 = 3 => 0 pairs (_) A8,B9: 3.. / A8 = 3 => 1 pairs (_) / B9 = 3 => 0 pairs (_) H1,I2: 4.. / H1 = 4 => 0 pairs (_) / I2 = 4 => 1 pairs (_) E8,E9: 4.. / E8 = 4 => 0 pairs (_) / E9 = 4 => 1 pairs (_) B1,A2: 5.. / B1 = 5 => 1 pairs (_) / A2 = 5 => 1 pairs (_) H8,I9: 5.. / H8 = 5 => 1 pairs (_) / I9 = 5 => 1 pairs (_) C1,A3: 6.. / C1 = 6 => 4 pairs (_) / A3 = 6 => 0 pairs (_) E7,F7: 7.. / E7 = 7 => 0 pairs (_) / F7 = 7 => 0 pairs (_) * DURATION: 0:00:07.918641 START: 17:56:25.605432 END: 17:56:33.524073 2017-04-29 * CP COUNT: (10) -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,A3: 6.. / C1 = 6 ==> 0 pairs (*) / A3 = 6 => 0 pairs (X) * DURATION: 0:00:36.790682 START: 17:56:33.524535 END: 17:57:10.315217 2017-04-29 * REASONING C1,A3: 6.. * DIS # C1: 6 # B3: 8,9 => CTR => B3: 7 * DIS # C1: 6 + B3: 7 # A8: 8,9 => CTR => A8: 2,3,4 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 # E7: 2,6 => CTR => E7: 1,7,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 # E9: 2,6 => CTR => E9: 4,5,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 # F5: 2,6 => CTR => F5: 1,7 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 # F7: 2,6 => CTR => F7: 1,7,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 # F9: 8 => CTR => F9: 2,6 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 # B1: 4,9 => CTR => B1: 5 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 # A2: 4,9 => CTR => A2: 8 * PRF # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 # E4: 2,7 => SOL * STA # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 + E4: 2,7 * CNT 10 HDP CHAINS / 31 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
dukdiamond2,coloin,95531,97759,,,,3541,2132
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,A3: 6..:
* INC # C1: 6 # B1: 8,9 => UNS * INC # C1: 6 # A2: 8,9 => UNS * DIS # C1: 6 # B3: 8,9 => CTR => B3: 7 * INC # C1: 6 + B3: 7 # A7: 8,9 => UNS * DIS # C1: 6 + B3: 7 # A8: 8,9 => CTR => A8: 2,3,4 * INC # C1: 6 + B3: 7 + A8: 2,3,4 # A7: 8,9 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # A7: 2 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # B1: 8,9 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # A2: 8,9 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # A7: 8,9 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # A7: 2 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # E1: 5,7 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # D2: 5,7 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # E2: 5,7 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # E4: 2,6 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 # E6: 2,6 => UNS * DIS # C1: 6 + B3: 7 + A8: 2,3,4 # E7: 2,6 => CTR => E7: 1,7,8,9 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 # E9: 2,6 => CTR => E9: 4,5,8,9 * INC # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 # E4: 2,6 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 # E6: 2,6 => UNS * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 # F5: 2,6 => CTR => F5: 1,7 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 # F7: 2,6 => CTR => F7: 1,7,8,9 * INC # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 # F9: 2,6 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 # F9: 2,6 => UNS * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 # F9: 8 => CTR => F9: 2,6 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 # B1: 4,9 => CTR => B1: 5 * DIS # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 # A2: 4,9 => CTR => A2: 8 * INC # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 # E4: 2,6 => UNS * INC # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 # E6: 2,6 => UNS * PRF # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 # E4: 2,7 => SOL * STA # C1: 6 + B3: 7 + A8: 2,3,4 + E7: 1,7,8,9 + E9: 4,5,8,9 + F5: 1,7 + F7: 1,7,8,9 + F9: 2,6 + B1: 5 + A2: 8 + E4: 2,7 * CNT 30 HDP CHAINS / 31 HYP OPENED