Analysis of xx-ph-00001267-489-base.sdk
Contents
Original Sudoku
level: deep
position: .2..5....4....92...89......2..5...6.3...1...7..4..38...4....3.....6...15....7.... initial
Autosolve
position: .2..5....4....92...89......2..5...633...1...7..4..38...4....3.....6...15....7.... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for G4,I6: 1..:
* DIS # G4: 1 # B6: 7,9 => CTR => B6: 1,5,6 * DIS # G4: 1 + B6: 1,5,6 # D6: 2,9 => CTR => D6: 7 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 # E6: 2,9 => CTR => E6: 6 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 # I7: 2,9 => CTR => I7: 6,8 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # C1: 6,7 => CTR => C1: 1,3 * PRF # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # H2: 3,8 => SOL * STA # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 + H2: 3,8 * CNT 6 HDP CHAINS / 29 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
| .2..5....4....92...89......2..5...6.3...1...7..4..38...4....3.....6...15....7.... | initial |
| .2..5....4....92...89......2..5...633...1...7..4..38...4....3.....6...15....7.... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,I6: 1.. / G4 = 1 => 3 pairs (_) / I6 = 1 => 3 pairs (_) E8,D9: 3.. / E8 = 3 => 3 pairs (_) / D9 = 3 => 0 pairs (_) F7,F9: 5.. / F7 = 5 => 0 pairs (_) / F9 = 5 => 0 pairs (_) G3,G5: 5.. / G3 = 5 => 1 pairs (_) / G5 = 5 => 3 pairs (_) F5,E6: 6.. / F5 = 6 => 3 pairs (_) / E6 = 6 => 1 pairs (_) F4,D6: 7.. / F4 = 7 => 3 pairs (_) / D6 = 7 => 1 pairs (_) H7,G8: 7.. / H7 = 7 => 1 pairs (_) / G8 = 7 => 3 pairs (_) C4,C5: 8.. / C4 = 8 => 3 pairs (_) / C5 = 8 => 1 pairs (_) * DURATION: 0:00:06.240709 START: 19:19:29.592605 END: 19:19:35.833314 2020-11-26 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G4,I6: 1.. / G4 = 1 ==> 0 pairs (*) / I6 = 1 => 0 pairs (X) * DURATION: 0:00:28.116226 START: 19:19:35.834152 END: 19:20:03.950378 2020-11-26 * REASONING G4,I6: 1.. * DIS # G4: 1 # B6: 7,9 => CTR => B6: 1,5,6 * DIS # G4: 1 + B6: 1,5,6 # D6: 2,9 => CTR => D6: 7 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 # E6: 2,9 => CTR => E6: 6 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 # I7: 2,9 => CTR => I7: 6,8 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # C1: 6,7 => CTR => C1: 1,3 * PRF # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # H2: 3,8 => SOL * STA # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 + H2: 3,8 * CNT 6 HDP CHAINS / 29 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1267;489;elev;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G4,I6: 1..:
* INC # G4: 1 # A6: 7,9 => UNS * DIS # G4: 1 # B6: 7,9 => CTR => B6: 1,5,6 * INC # G4: 1 + B6: 1,5,6 # A6: 7,9 => UNS * INC # G4: 1 + B6: 1,5,6 # A6: 1,5,6 => UNS * INC # G4: 1 + B6: 1,5,6 # B8: 7,9 => UNS * INC # G4: 1 + B6: 1,5,6 # B8: 3 => UNS * INC # G4: 1 + B6: 1,5,6 # F4: 7,8 => UNS * INC # G4: 1 + B6: 1,5,6 # F4: 4 => UNS * INC # G4: 1 + B6: 1,5,6 # H5: 2,9 => UNS * INC # G4: 1 + B6: 1,5,6 # H6: 2,9 => UNS * DIS # G4: 1 + B6: 1,5,6 # D6: 2,9 => CTR => D6: 7 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 # E6: 2,9 => CTR => E6: 6 * DIS # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 # I7: 2,9 => CTR => I7: 6,8 * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # I9: 2,9 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # I9: 2,9 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # I9: 4,6,8 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # H6: 2,9 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # H6: 5 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # I9: 2,9 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # I9: 4,6,8 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # A1: 6,7 => UNS * DIS # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 # C1: 6,7 => CTR => C1: 1,3 * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # G1: 6,7 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # A1: 6,7 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # G1: 6,7 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # D1: 3,8 => UNS * INC # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # D2: 3,8 => UNS * PRF # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 # H2: 3,8 => SOL * STA # G4: 1 + B6: 1,5,6 + D6: 7 + E6: 6 + I7: 6,8 + C1: 1,3 + H2: 3,8 * CNT 28 HDP CHAINS / 29 HYP OPENED