Analysis of xx-ph-00034174-2012_04-base.sdk
Contents
Original Sudoku
level: deep
position: 9876.....65....8...........7...4..3...97..6.......2..1.7..3..4...58..........1..2 initial
Autosolve
position: 9876.....65....8...........7...4..3...97..6.......2..1.7..3..4...58..........1..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for I7,H9: 8..:
* DIS # I7: 8 # F4: 5,9 => CTR => F4: 6,8 * DIS # I7: 8 + F4: 6,8 # G6: 4,5 => CTR => G6: 7,9 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 # C7: 1,2 => CTR => C7: 6 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # G1: 3,5 => CTR => G1: 1,2,4 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 # I3: 3,5 => CTR => I3: 6,7,9 * PRF # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 # F1: 4 => SOL * STA # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 + F1: 4 * CNT 6 HDP CHAINS / 30 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
| 9876.....65....8...........7...4..3...97..6.......2..1.7..3..4...58..........1..2 | initial |
| 9876.....65....8...........7...4..3...97..6.......2..1.7..3..4...58..........1..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 2 pairs (_) / E5 = 1 => 2 pairs (_) G4,H5: 2.. / G4 = 2 => 2 pairs (_) / H5 = 2 => 2 pairs (_) D7,E8: 2.. / D7 = 2 => 1 pairs (_) / E8 = 2 => 2 pairs (_) F5,D6: 3.. / F5 = 3 => 2 pairs (_) / D6 = 3 => 2 pairs (_) I5,G6: 4.. / I5 = 4 => 1 pairs (_) / G6 = 4 => 3 pairs (_) F8,D9: 4.. / F8 = 4 => 2 pairs (_) / D9 = 4 => 1 pairs (_) A5,A6: 5.. / A5 = 5 => 4 pairs (_) / A6 = 5 => 1 pairs (_) H3,I3: 6.. / H3 = 6 => 0 pairs (_) / I3 = 6 => 0 pairs (_) F4,E6: 6.. / F4 = 6 => 2 pairs (_) / E6 = 6 => 1 pairs (_) G6,H6: 7.. / G6 = 7 => 1 pairs (_) / H6 = 7 => 0 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) I7,H9: 8.. / I7 = 8 => 3 pairs (_) / H9 = 8 => 2 pairs (_) B8,B9: 9.. / B8 = 9 => 0 pairs (_) / B9 = 9 => 1 pairs (_) * DURATION: 0:00:07.218115 START: 21:49:12.211249 END: 21:49:19.429364 2020-12-13 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A5,A6: 5.. / A5 = 5 ==> 4 pairs (_) / A6 = 5 ==> 1 pairs (_) I7,H9: 8.. / I7 = 8 ==> 0 pairs (*) / H9 = 8 => 0 pairs (X) * DURATION: 0:00:26.147921 START: 21:49:19.430070 END: 21:49:45.577991 2020-12-13 * REASONING I7,H9: 8.. * DIS # I7: 8 # F4: 5,9 => CTR => F4: 6,8 * DIS # I7: 8 + F4: 6,8 # G6: 4,5 => CTR => G6: 7,9 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 # C7: 1,2 => CTR => C7: 6 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # G1: 3,5 => CTR => G1: 1,2,4 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 # I3: 3,5 => CTR => I3: 6,7,9 * PRF # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 # F1: 4 => SOL * STA # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 + F1: 4 * CNT 6 HDP CHAINS / 30 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
34174;2012_04;GP;22;11.30;11.30;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A5,A6: 5..:
* INC # A5: 5 # E3: 1,8 => UNS * INC # A5: 5 # E3: 2,5,7,9 => UNS * INC # A5: 5 # F3: 3,8 => UNS * INC # A5: 5 # F3: 4,5,7,9 => UNS * INC # A5: 5 => UNS * INC # A6: 5 # D2: 3,9 => UNS * INC # A6: 5 # D3: 3,9 => UNS * INC # A6: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I7,H9: 8..:
* INC # I7: 8 # G4: 5,9 => UNS * INC # I7: 8 # G6: 5,9 => UNS * INC # I7: 8 # H6: 5,9 => UNS * INC # I7: 8 # D4: 5,9 => UNS * DIS # I7: 8 # F4: 5,9 => CTR => F4: 6,8 * INC # I7: 8 + F4: 6,8 # D4: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # D4: 1 => UNS * INC # I7: 8 + F4: 6,8 # I3: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # I3: 3,4,6,7 => UNS * INC # I7: 8 + F4: 6,8 # G4: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # G6: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # H6: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # D4: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # D4: 1 => UNS * INC # I7: 8 + F4: 6,8 # I3: 5,9 => UNS * INC # I7: 8 + F4: 6,8 # I3: 3,4,6,7 => UNS * DIS # I7: 8 + F4: 6,8 # G6: 4,5 => CTR => G6: 7,9 * DIS # I7: 8 + F4: 6,8 + G6: 7,9 # C7: 1,2 => CTR => C7: 6 * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # A8: 1,2 => UNS * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # B8: 1,2 => UNS * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # A3: 1,2 => UNS * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # A5: 1,2 => UNS * DIS # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 # G1: 3,5 => CTR => G1: 1,2,4 * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 # G3: 3,5 => UNS * DIS # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 # I3: 3,5 => CTR => I3: 6,7,9 * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 # G3: 3,5 => UNS * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 # G3: 1,2,4,7,9 => UNS * INC # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 # F1: 3,5 => UNS * PRF # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 # F1: 4 => SOL * STA # I7: 8 + F4: 6,8 + G6: 7,9 + C7: 6 + G1: 1,2,4 + I3: 6,7,9 + F1: 4 * CNT 29 HDP CHAINS / 30 HYP OPENED