Analysis of xx-ph-02236989-2019_01_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..75..6..9...6......4....3....396...7...897..5...78...6.....2.........7..1 initial
Autosolve
position: 98.7..6..75..6..9...6......47...39.6.396...7...897..5...78...6.....26........7..1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for E4,H4: 8..:
* DIS # H4: 8 # I7: 2,4 => CTR => I7: 3,5,9 * DIS # H4: 8 + I7: 3,5,9 # I8: 3,4 => CTR => I8: 5,7,8,9 * CNT 2 HDP CHAINS / 74 HYP OPENED
List of important HDP chains detected for F3,F7: 9..:
* DIS # F7: 9 # A5: 1,2 => CTR => A5: 5 * PRF # F7: 9 + A5: 5 # C8: 1,4 => SOL * STA # F7: 9 + A5: 5 + C8: 1,4 * CNT 2 HDP CHAINS / 9 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
| 98.7..6..75..6..9...6......4....3....396...7...897..5...78...6.....2.........7..1 | initial |
| 98.7..6..75..6..9...6......47...39.6.396...7...897..5...78...6.....26........7..1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G6,I6: 3.. / G6 = 3 => 1 pairs (_) / I6 = 3 => 0 pairs (_) C4,A5: 5.. / C4 = 5 => 3 pairs (_) / A5 = 5 => 1 pairs (_) A6,B6: 6.. / A6 = 6 => 1 pairs (_) / B6 = 6 => 2 pairs (_) A9,B9: 6.. / A9 = 6 => 2 pairs (_) / B9 = 6 => 1 pairs (_) A6,A9: 6.. / A6 = 6 => 1 pairs (_) / A9 = 6 => 2 pairs (_) B6,B9: 6.. / B6 = 6 => 2 pairs (_) / B9 = 6 => 1 pairs (_) G3,I3: 7.. / G3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) G8,I8: 7.. / G8 = 7 => 0 pairs (_) / I8 = 7 => 0 pairs (_) G3,G8: 7.. / G3 = 7 => 0 pairs (_) / G8 = 7 => 0 pairs (_) I3,I8: 7.. / I3 = 7 => 0 pairs (_) / I8 = 7 => 0 pairs (_) A8,A9: 8.. / A8 = 8 => 1 pairs (_) / A9 = 8 => 1 pairs (_) E4,H4: 8.. / E4 = 8 => 1 pairs (_) / H4 = 8 => 3 pairs (_) E3,F3: 9.. / E3 = 9 => 3 pairs (_) / F3 = 9 => 0 pairs (_) I7,I8: 9.. / I7 = 9 => 0 pairs (_) / I8 = 9 => 1 pairs (_) B8,I8: 9.. / B8 = 9 => 0 pairs (_) / I8 = 9 => 1 pairs (_) B9,E9: 9.. / B9 = 9 => 3 pairs (_) / E9 = 9 => 0 pairs (_) F3,F7: 9.. / F3 = 9 => 0 pairs (_) / F7 = 9 => 3 pairs (_) * DURATION: 0:00:11.810767 START: 06:12:54.956391 END: 06:13:06.767158 2020-09-24 * CP COUNT: (17) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E4,H4: 8.. / E4 = 8 ==> 1 pairs (_) / H4 = 8 ==> 3 pairs (_) C4,A5: 5.. / C4 = 5 ==> 3 pairs (_) / A5 = 5 ==> 1 pairs (_) F3,F7: 9.. / F3 = 9 => 0 pairs (X) / F7 = 9 ==> 0 pairs (*) * DURATION: 0:01:00.898357 START: 06:13:06.767748 END: 06:14:07.666105 2020-09-24 * REASONING E4,H4: 8.. * DIS # H4: 8 # I7: 2,4 => CTR => I7: 3,5,9 * DIS # H4: 8 + I7: 3,5,9 # I8: 3,4 => CTR => I8: 5,7,8,9 * CNT 2 HDP CHAINS / 74 HYP OPENED * REASONING F3,F7: 9.. * DIS # F7: 9 # A5: 1,2 => CTR => A5: 5 * PRF # F7: 9 + A5: 5 # C8: 1,4 => SOL * STA # F7: 9 + A5: 5 + C8: 1,4 * CNT 2 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2236989;2019_01_07;PAQ;25;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E4,H4: 8..:
* INC # H4: 8 # D4: 1,5 => UNS * INC # H4: 8 # E5: 1,5 => UNS * INC # H4: 8 # F5: 1,5 => UNS * INC # H4: 8 # C4: 1,5 => UNS * INC # H4: 8 # C4: 2 => UNS * INC # H4: 8 # E1: 1,5 => UNS * INC # H4: 8 # E3: 1,5 => UNS * INC # H4: 8 # E7: 1,5 => UNS * INC # H4: 8 # G5: 2,4 => UNS * INC # H4: 8 # G6: 2,4 => UNS * INC # H4: 8 # I6: 2,4 => UNS * INC # H4: 8 # F5: 2,4 => UNS * INC # H4: 8 # F5: 1,5,8 => UNS * INC # H4: 8 # I1: 2,4 => UNS * INC # H4: 8 # I2: 2,4 => UNS * INC # H4: 8 # I3: 2,4 => UNS * DIS # H4: 8 # I7: 2,4 => CTR => I7: 3,5,9 * INC # H4: 8 + I7: 3,5,9 # G5: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # G6: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # I6: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # F5: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # F5: 1,5,8 => UNS * INC # H4: 8 + I7: 3,5,9 # I1: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # I2: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # I3: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 # G7: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 # G8: 3,4 => UNS * DIS # H4: 8 + I7: 3,5,9 # I8: 3,4 => CTR => I8: 5,7,8,9 * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G9: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H9: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # C8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # D8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H1: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H3: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G7: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G9: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H9: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # C8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # D8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H1: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H3: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # D4: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # E5: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # F5: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # C4: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # C4: 2 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # E1: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # E3: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # E7: 1,5 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G5: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G6: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # I6: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # F5: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # F5: 1,5,8 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # I1: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # I2: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # I3: 2,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G7: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # G9: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H9: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # C8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # D8: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H1: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 # H3: 3,4 => UNS * INC # H4: 8 + I7: 3,5,9 + I8: 5,7,8,9 => UNS * INC # E4: 8 # G5: 1,2 => UNS * INC # E4: 8 # G6: 1,2 => UNS * INC # E4: 8 # C4: 1,2 => UNS * INC # E4: 8 # D4: 1,2 => UNS * INC # E4: 8 # H1: 1,2 => UNS * INC # E4: 8 # H3: 1,2 => UNS * INC # E4: 8 => UNS * CNT 74 HDP CHAINS / 74 HYP OPENED
Full list of HDP chains traversed for C4,A5: 5..:
* INC # C4: 5 # A6: 1,2 => UNS * INC # C4: 5 # B6: 1,2 => UNS * INC # C4: 5 # F5: 1,2 => UNS * INC # C4: 5 # G5: 1,2 => UNS * INC # C4: 5 # A3: 1,2 => UNS * INC # C4: 5 # A7: 1,2 => UNS * INC # C4: 5 # F5: 1,2 => UNS * INC # C4: 5 # F6: 1,2 => UNS * INC # C4: 5 # H4: 1,2 => UNS * INC # C4: 5 # H4: 8 => UNS * INC # C4: 5 # D2: 1,2 => UNS * INC # C4: 5 # D3: 1,2 => UNS * INC # C4: 5 # E5: 1,8 => UNS * INC # C4: 5 # F5: 1,8 => UNS * INC # C4: 5 # H4: 1,8 => UNS * INC # C4: 5 # H4: 2 => UNS * INC # C4: 5 # E3: 1,8 => UNS * INC # C4: 5 # E3: 3,4,5,9 => UNS * INC # C4: 5 => UNS * INC # A5: 5 # A6: 1,2 => UNS * INC # A5: 5 # B6: 1,2 => UNS * INC # A5: 5 # D4: 1,2 => UNS * INC # A5: 5 # H4: 1,2 => UNS * INC # A5: 5 # C1: 1,2 => UNS * INC # A5: 5 # C2: 1,2 => UNS * INC # A5: 5 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for F3,F7: 9..:
* INC # F7: 9 # C4: 1,2 => UNS * DIS # F7: 9 # A5: 1,2 => CTR => A5: 5 * INC # F7: 9 + A5: 5 # F6: 1,2 => UNS * INC # F7: 9 + A5: 5 # G6: 1,2 => UNS * INC # F7: 9 + A5: 5 # A3: 1,2 => UNS * INC # F7: 9 + A5: 5 # A7: 1,2 => UNS * INC # F7: 9 + A5: 5 # B7: 1,4 => UNS * PRF # F7: 9 + A5: 5 # C8: 1,4 => SOL * STA # F7: 9 + A5: 5 + C8: 1,4 * CNT 8 HDP CHAINS / 9 HYP OPENED