Analysis of xx-ph-00001496-H89-base.sdk
Contents
Original Sudoku
level: deep
position: .......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..4..7..... initial
Autosolve
position: .......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..48.7..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for G7,G9: 3..:
* DIS # G7: 3 # C1: 4,5 => CTR => C1: 1,2,7 * DIS # G7: 3 + C1: 1,2,7 # D5: 1,5 => CTR => D5: 3,6,8 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 # G4: 1,5 => CTR => G4: 2,4,7 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 # H4: 1,5 => CTR => H4: 2,4,7 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 # F6: 5,7 => CTR => F6: 6,8 * PRF # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 + F6: 6,8 => SOL * STA G7: 3 * CNT 6 HDP CHAINS / 18 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
| .......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..4..7..... | initial |
| .......39.....1..5..3.5.6....8.9...3.7...2...1..4.......6.8..9..2....8..48.7..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,C6: 2.. / A4 = 2 => 1 pairs (_) / C6 = 2 => 1 pairs (_) D7,E9: 2.. / D7 = 2 => 2 pairs (_) / E9 = 2 => 1 pairs (_) D2,E2: 3.. / D2 = 3 => 1 pairs (_) / E2 = 3 => 6 pairs (_) A5,B6: 3.. / A5 = 3 => 3 pairs (_) / B6 = 3 => 2 pairs (_) G7,G9: 3.. / G7 = 3 => 8 pairs (_) / G9 = 3 => 0 pairs (_) B6,B7: 3.. / B6 = 3 => 2 pairs (_) / B7 = 3 => 3 pairs (_) B4,C5: 4.. / B4 = 4 => 3 pairs (_) / C5 = 4 => 1 pairs (_) D5,F6: 8.. / D5 = 8 => 2 pairs (_) / F6 = 8 => 0 pairs (_) G5,G6: 9.. / G5 = 9 => 1 pairs (_) / G6 = 9 => 1 pairs (_) C9,F9: 9.. / C9 = 9 => 6 pairs (_) / F9 = 9 => 1 pairs (_) * DURATION: 0:00:07.863893 START: 20:50:30.499598 END: 20:50:38.363491 2020-11-28 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G7,G9: 3.. / G7 = 3 ==> 0 pairs (*) / G9 = 3 => 0 pairs (X) * DURATION: 0:00:21.940375 START: 20:50:38.364228 END: 20:51:00.304603 2020-11-28 * REASONING G7,G9: 3.. * DIS # G7: 3 # C1: 4,5 => CTR => C1: 1,2,7 * DIS # G7: 3 + C1: 1,2,7 # D5: 1,5 => CTR => D5: 3,6,8 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 # G4: 1,5 => CTR => G4: 2,4,7 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 # H4: 1,5 => CTR => H4: 2,4,7 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 # F6: 5,7 => CTR => F6: 6,8 * PRF # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 + F6: 6,8 => SOL * STA G7: 3 * CNT 6 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1496;H89;col;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G7,G9: 3..:
* INC # G7: 3 # B4: 4,5 => UNS * INC # G7: 3 # B4: 6 => UNS * INC # G7: 3 # G5: 4,5 => UNS * INC # G7: 3 # H5: 4,5 => UNS * DIS # G7: 3 # C1: 4,5 => CTR => C1: 1,2,7 * INC # G7: 3 + C1: 1,2,7 # B4: 4,5 => UNS * INC # G7: 3 + C1: 1,2,7 # B4: 6 => UNS * INC # G7: 3 + C1: 1,2,7 # G5: 4,5 => UNS * INC # G7: 3 + C1: 1,2,7 # H5: 4,5 => UNS * INC # G7: 3 + C1: 1,2,7 # A4: 2,5 => UNS * INC # G7: 3 + C1: 1,2,7 # A4: 6 => UNS * INC # G7: 3 + C1: 1,2,7 # H6: 2,5 => UNS * INC # G7: 3 + C1: 1,2,7 # H6: 6,7,8 => UNS * DIS # G7: 3 + C1: 1,2,7 # D5: 1,5 => CTR => D5: 3,6,8 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 # G4: 1,5 => CTR => G4: 2,4,7 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 # H4: 1,5 => CTR => H4: 2,4,7 * DIS # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 # F6: 5,7 => CTR => F6: 6,8 * PRF # G7: 3 + C1: 1,2,7 + D5: 3,6,8 + G4: 2,4,7 + H4: 2,4,7 + F6: 6,8 => SOL * STA G7: 3 * CNT 18 HDP CHAINS / 18 HYP OPENED