Analysis of xx-ph-00000068-25-base.sdk
Contents
Original Sudoku
level: deep
position: 1.....7.9.57....3..8.7.....2...4......68......38....5......1..4....9...2...3..56. initial
Autosolve
position: 1.....7.9.57....3..8.7....52...4......68......38....5......1..4....9...2...3..56. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C4,A5: 5..:
* DIS # C4: 5 # C3: 2,3 => CTR => C3: 4,9 * DIS # C4: 5 + C3: 4,9 # C1: 4 => CTR => C1: 2,3 * DIS # C4: 5 + C3: 4,9 + C1: 2,3 # A3: 4,9 => CTR => A3: 3,6 * DIS # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 # A2: 6 => CTR => A2: 4,9 * PRF # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 # F3: 2,3,6 => SOL * STA # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 + F3: 2,3,6 * CNT 5 HDP CHAINS / 11 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.....7.9.57....3..8.7.....2...4......68......38....5......1..4....9...2...3..56. | initial |
| 1.....7.9.57....3..8.7....52...4......68......38....5......1..4....9...2...3..56. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,I5: 3.. / I4 = 3 => 1 pairs (_) / I5 = 3 => 0 pairs (_) G7,G8: 3.. / G7 = 3 => 2 pairs (_) / G8 = 3 => 1 pairs (_) F4,I4: 3.. / F4 = 3 => 0 pairs (_) / I4 = 3 => 1 pairs (_) A6,G6: 4.. / A6 = 4 => 1 pairs (_) / G6 = 4 => 1 pairs (_) C4,A5: 5.. / C4 = 5 => 1 pairs (_) / A5 = 5 => 1 pairs (_) G7,H7: 9.. / G7 = 9 => 1 pairs (_) / H7 = 9 => 1 pairs (_) * DURATION: 0:00:04.066748 START: 08:24:48.956322 END: 08:24:53.023070 2020-09-22 * CP COUNT: (6) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G7,G8: 3.. / G7 = 3 ==> 2 pairs (_) / G8 = 3 ==> 1 pairs (_) G7,H7: 9.. / G7 = 9 ==> 1 pairs (_) / H7 = 9 ==> 1 pairs (_) C4,A5: 5.. / C4 = 5 ==> 0 pairs (*) / A5 = 5 => 0 pairs (X) * DURATION: 0:00:22.024405 START: 08:24:53.023773 END: 08:25:15.048178 2020-09-22 * REASONING C4,A5: 5.. * DIS # C4: 5 # C3: 2,3 => CTR => C3: 4,9 * DIS # C4: 5 + C3: 4,9 # C1: 4 => CTR => C1: 2,3 * DIS # C4: 5 + C3: 4,9 + C1: 2,3 # A3: 4,9 => CTR => A3: 3,6 * DIS # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 # A2: 6 => CTR => A2: 4,9 * PRF # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 # F3: 2,3,6 => SOL * STA # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 + F3: 2,3,6 * CNT 5 HDP CHAINS / 11 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
68;25;elev;22;11.70;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G7,G8: 3..:
* INC # G7: 3 # D7: 2,5 => UNS * INC # G7: 3 # E7: 2,5 => UNS * INC # G7: 3 # H8: 1,8 => UNS * INC # G7: 3 # I9: 1,8 => UNS * INC # G7: 3 # G2: 1,8 => UNS * INC # G7: 3 # G4: 1,8 => UNS * INC # G7: 3 => UNS * INC # G8: 3 # H7: 8,9 => UNS * INC # G8: 3 # H7: 7 => UNS * INC # G8: 3 # G4: 8,9 => UNS * INC # G8: 3 # G4: 1,6 => UNS * INC # G8: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G7,H7: 9..:
* INC # G7: 9 # H8: 7,8 => UNS * INC # G7: 9 # I9: 7,8 => UNS * INC # G7: 9 # A7: 7,8 => UNS * INC # G7: 9 # E7: 7,8 => UNS * INC # G7: 9 # H4: 7,8 => UNS * INC # G7: 9 # H4: 1,9 => UNS * INC # G7: 9 => UNS * INC # H7: 9 # G8: 3,8 => UNS * INC # H7: 9 # G8: 1 => UNS * INC # H7: 9 # A7: 3,8 => UNS * INC # H7: 9 # A7: 5,6,7 => UNS * INC # H7: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C4,A5: 5..:
* INC # C4: 5 # C1: 2,3 => UNS * DIS # C4: 5 # C3: 2,3 => CTR => C3: 4,9 * INC # C4: 5 + C3: 4,9 # C1: 2,3 => UNS * DIS # C4: 5 + C3: 4,9 # C1: 4 => CTR => C1: 2,3 * INC # C4: 5 + C3: 4,9 + C1: 2,3 # A2: 4,9 => UNS * DIS # C4: 5 + C3: 4,9 + C1: 2,3 # A3: 4,9 => CTR => A3: 3,6 * INC # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 # A2: 4,9 => UNS * DIS # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 # A2: 6 => CTR => A2: 4,9 * INC # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 # F3: 4,9 => UNS * PRF # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 # F3: 2,3,6 => SOL * STA # C4: 5 + C3: 4,9 + C1: 2,3 + A3: 3,6 + A2: 4,9 + F3: 2,3,6 * CNT 10 HDP CHAINS / 11 HYP OPENED