Analysis of xx-ph-00066577-12_11-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... initial
Autosolve
position: 98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for I4,H5: 9..:
* DIS # I4: 9 # F6: 2,6 => CTR => F6: 3,5 * CNT 1 HDP CHAINS / 28 HYP OPENED
List of important HDP chains detected for B7,B9: 9..:
* DIS # B7: 9 # H7: 4,5 => CTR => H7: 6,7,8 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:19.623793
List of important HDP chains detected for B4,C4: 7..:
* PRF # C4: 7 # B6: 1,6 # G3: 2,3 => SOL * STA # C4: 7 # B6: 1,6 + G3: 2,3 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... | initial |
| 98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H8,I8: 1.. / H8 = 1 => 0 pairs (_) / I8 = 1 => 2 pairs (_) G4,H6: 2.. / G4 = 2 => 2 pairs (_) / H6 = 2 => 1 pairs (_) E5,F6: 3.. / E5 = 3 => 4 pairs (_) / F6 = 3 => 1 pairs (_) A6,B6: 4.. / A6 = 4 => 1 pairs (_) / B6 = 4 => 3 pairs (_) H3,I3: 7.. / H3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) B4,C4: 7.. / B4 = 7 => 1 pairs (_) / C4 = 7 => 5 pairs (_) I3,I9: 7.. / I3 = 7 => 0 pairs (_) / I9 = 7 => 0 pairs (_) D8,D9: 8.. / D8 = 8 => 0 pairs (_) / D9 = 8 => 1 pairs (_) I4,H5: 9.. / I4 = 9 => 2 pairs (_) / H5 = 9 => 0 pairs (_) B7,B9: 9.. / B7 = 9 => 1 pairs (_) / B9 = 9 => 0 pairs (_) * DURATION: 0:00:05.938103 START: 11:14:27.931940 END: 11:14:33.870043 2020-12-22 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B4,C4: 7.. / B4 = 7 ==> 1 pairs (_) / C4 = 7 ==> 5 pairs (_) E5,F6: 3.. / E5 = 3 ==> 4 pairs (_) / F6 = 3 ==> 1 pairs (_) A6,B6: 4.. / A6 = 4 ==> 1 pairs (_) / B6 = 4 ==> 3 pairs (_) G4,H6: 2.. / G4 = 2 ==> 2 pairs (_) / H6 = 2 ==> 1 pairs (_) I4,H5: 9.. / I4 = 9 ==> 3 pairs (_) / H5 = 9 ==> 0 pairs (_) H8,I8: 1.. / H8 = 1 ==> 0 pairs (_) / I8 = 1 ==> 2 pairs (_) B7,B9: 9.. / B7 = 9 ==> 1 pairs (_) / B9 = 9 ==> 0 pairs (_) D8,D9: 8.. / D8 = 8 ==> 0 pairs (_) / D9 = 8 ==> 1 pairs (_) I3,I9: 7.. / I3 = 7 ==> 0 pairs (_) / I9 = 7 ==> 0 pairs (_) H3,I3: 7.. / H3 = 7 ==> 0 pairs (_) / I3 = 7 ==> 0 pairs (_) * DURATION: 0:01:07.715845 START: 11:14:33.870626 END: 11:15:41.586471 2020-12-22 * REASONING I4,H5: 9.. * DIS # I4: 9 # F6: 2,6 => CTR => F6: 3,5 * CNT 1 HDP CHAINS / 28 HYP OPENED * REASONING B7,B9: 9.. * DIS # B7: 9 # H7: 4,5 => CTR => H7: 6,7,8 * CNT 1 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B4,C4: 7.. / B4 = 7 => 0 pairs (X) / C4 = 7 ==> 0 pairs (*) * DURATION: 0:00:19.621143 START: 11:15:41.703001 END: 11:16:01.324144 2020-12-22 * REASONING B4,C4: 7.. * PRF # C4: 7 # B6: 1,6 # G3: 2,3 => SOL * STA # C4: 7 # B6: 1,6 + G3: 2,3 * CNT 1 HDP CHAINS / 22 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
66577;12_11;GP;25;11.30;11.30;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B4,C4: 7..:
* INC # C4: 7 # B6: 1,6 => UNS * INC # C4: 7 # B6: 3,4 => UNS * INC # C4: 7 # I4: 1,6 => UNS * INC # C4: 7 # I4: 8,9 => UNS * INC # C4: 7 # H5: 1,5 => UNS * INC # C4: 7 # H6: 1,5 => UNS * INC # C4: 7 # I6: 1,5 => UNS * INC # C4: 7 # D5: 1,5 => UNS * INC # C4: 7 # E5: 1,5 => UNS * INC # C4: 7 # G3: 1,5 => UNS * INC # C4: 7 # G3: 2,3,4 => UNS * INC # C4: 7 # A8: 4,8 => UNS * INC # C4: 7 # A9: 4,8 => UNS * INC # C4: 7 # C9: 4,8 => UNS * INC # C4: 7 # G7: 4,8 => UNS * INC # C4: 7 # H7: 4,8 => UNS * INC # C4: 7 => UNS * INC # B4: 7 # C5: 1,8 => UNS * INC # B4: 7 # C5: 3 => UNS * INC # B4: 7 # G4: 1,8 => UNS * INC # B4: 7 # I4: 1,8 => UNS * INC # B4: 7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for E5,F6: 3..:
* INC # E5: 3 # H5: 6,8 => UNS * INC # E5: 3 # H5: 1,5,9 => UNS * INC # E5: 3 # A8: 6,8 => UNS * INC # E5: 3 # A9: 6,8 => UNS * INC # E5: 3 # C4: 1,8 => UNS * INC # E5: 3 # C4: 7 => UNS * INC # E5: 3 # G5: 1,8 => UNS * INC # E5: 3 # H5: 1,8 => UNS * INC # E5: 3 # A3: 3,4 => UNS * INC # E5: 3 # A8: 3,4 => UNS * INC # E5: 3 # A9: 3,4 => UNS * INC # E5: 3 # B3: 3,4 => UNS * INC # E5: 3 # B8: 3,4 => UNS * INC # E5: 3 # B9: 3,4 => UNS * INC # E5: 3 => UNS * INC # F6: 3 # B6: 4,6 => UNS * INC # F6: 3 # B6: 1 => UNS * INC # F6: 3 # A8: 4,6 => UNS * INC # F6: 3 # A9: 4,6 => UNS * INC # F6: 3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for A6,B6: 4..:
* INC # B6: 4 # C1: 1,3 => UNS * INC # B6: 4 # C2: 1,3 => UNS * INC # B6: 4 # E3: 1,3 => UNS * INC # B6: 4 # G3: 1,3 => UNS * INC # B6: 4 # I3: 1,3 => UNS * INC # B6: 4 # A5: 3,6 => UNS * INC # B6: 4 # A5: 8 => UNS * INC # B6: 4 # F6: 3,6 => UNS * INC # B6: 4 # F6: 2,5 => UNS * INC # B6: 4 # A8: 3,6 => UNS * INC # B6: 4 # A9: 3,6 => UNS * INC # B6: 4 # A8: 3,6 => UNS * INC # B6: 4 # A9: 3,6 => UNS * INC # B6: 4 # B9: 3,6 => UNS * INC # B6: 4 # I8: 3,6 => UNS * INC # B6: 4 # I8: 1,8 => UNS * INC # B6: 4 => UNS * INC # A6: 4 # C1: 2,3 => UNS * INC # A6: 4 # C2: 2,3 => UNS * INC # A6: 4 # E3: 2,3 => UNS * INC # A6: 4 # G3: 2,3 => UNS * INC # A6: 4 # A8: 2,3 => UNS * INC # A6: 4 # A9: 2,3 => UNS * INC # A6: 4 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for G4,H6: 2..:
* INC # G4: 2 # D5: 1,9 => UNS * INC # G4: 2 # E5: 1,9 => UNS * INC # G4: 2 # I4: 1,9 => UNS * INC # G4: 2 # I4: 6,8 => UNS * INC # G4: 2 # E3: 1,9 => UNS * INC # G4: 2 # E3: 2,3,4,5 => UNS * INC # G4: 2 # D5: 6,9 => UNS * INC # G4: 2 # D5: 1,5 => UNS * INC # G4: 2 # I4: 6,9 => UNS * INC # G4: 2 # I4: 1,8 => UNS * INC # G4: 2 # F7: 6,9 => UNS * INC # G4: 2 # F7: 4,5 => UNS * INC # G4: 2 => UNS * INC # H6: 2 # I4: 1,8 => UNS * INC # H6: 2 # G5: 1,8 => UNS * INC # H6: 2 # H5: 1,8 => UNS * INC # H6: 2 # C4: 1,8 => UNS * INC # H6: 2 # C4: 7 => UNS * INC # H6: 2 # G2: 1,8 => UNS * INC # H6: 2 # G2: 2,3,4 => UNS * INC # H6: 2 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for I4,H5: 9..:
* INC # I4: 9 # D6: 1,2 => UNS * INC # I4: 9 # D6: 5,6 => UNS * INC # I4: 9 # G4: 1,2 => UNS * INC # I4: 9 # G4: 8 => UNS * INC # I4: 9 # E1: 1,2 => UNS * INC # I4: 9 # E3: 1,2 => UNS * INC # I4: 9 # D6: 2,6 => UNS * DIS # I4: 9 # F6: 2,6 => CTR => F6: 3,5 * INC # I4: 9 + F6: 3,5 # D6: 2,6 => UNS * INC # I4: 9 + F6: 3,5 # D6: 1,5 => UNS * INC # I4: 9 + F6: 3,5 # F8: 2,6 => UNS * INC # I4: 9 + F6: 3,5 # F8: 4 => UNS * INC # I4: 9 + F6: 3,5 # D6: 1,2 => UNS * INC # I4: 9 + F6: 3,5 # D6: 5,6 => UNS * INC # I4: 9 + F6: 3,5 # G4: 1,2 => UNS * INC # I4: 9 + F6: 3,5 # G4: 8 => UNS * INC # I4: 9 + F6: 3,5 # E1: 1,2 => UNS * INC # I4: 9 + F6: 3,5 # E3: 1,2 => UNS * INC # I4: 9 + F6: 3,5 # D6: 2,6 => UNS * INC # I4: 9 + F6: 3,5 # D6: 1,5 => UNS * INC # I4: 9 + F6: 3,5 # F8: 2,6 => UNS * INC # I4: 9 + F6: 3,5 # F8: 4 => UNS * INC # I4: 9 + F6: 3,5 # E5: 3,5 => UNS * INC # I4: 9 + F6: 3,5 # E5: 1,9 => UNS * INC # I4: 9 + F6: 3,5 # F1: 3,5 => UNS * INC # I4: 9 + F6: 3,5 # F1: 2,4 => UNS * INC # I4: 9 + F6: 3,5 => UNS * INC # H5: 9 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for H8,I8: 1..:
* INC # I8: 1 # G3: 3,5 => UNS * INC # I8: 1 # I3: 3,5 => UNS * INC # I8: 1 # E1: 3,5 => UNS * INC # I8: 1 # F1: 3,5 => UNS * INC # I8: 1 # I9: 3,5 => UNS * INC # I8: 1 # I9: 6,7,8 => UNS * INC # I8: 1 # H5: 5,6 => UNS * INC # I8: 1 # H6: 5,6 => UNS * INC # I8: 1 # D6: 5,6 => UNS * INC # I8: 1 # F6: 5,6 => UNS * INC # I8: 1 # I9: 5,6 => UNS * INC # I8: 1 # I9: 3,7,8 => UNS * INC # I8: 1 => UNS * INC # H8: 1 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B7,B9: 9..:
* INC # B7: 9 # F7: 4,5 => UNS * INC # B7: 9 # E9: 4,5 => UNS * INC # B7: 9 # G7: 4,5 => UNS * DIS # B7: 9 # H7: 4,5 => CTR => H7: 6,7,8 * INC # B7: 9 + H7: 6,7,8 # G7: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # G7: 8 => UNS * INC # B7: 9 + H7: 6,7,8 # E1: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # E3: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # F7: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # E9: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # G7: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # G7: 8 => UNS * INC # B7: 9 + H7: 6,7,8 # E1: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # E3: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # F7: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # E9: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # G7: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # G7: 8 => UNS * INC # B7: 9 + H7: 6,7,8 # E1: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 # E3: 4,5 => UNS * INC # B7: 9 + H7: 6,7,8 => UNS * INC # B9: 9 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for D8,D9: 8..:
* INC # D9: 8 # F8: 2,6 => UNS * INC # D9: 8 # F8: 4 => UNS * INC # D9: 8 # A8: 2,6 => UNS * INC # D9: 8 # A8: 3,4,8 => UNS * INC # D9: 8 # D6: 2,6 => UNS * INC # D9: 8 # D6: 1,5 => UNS * INC # D9: 8 => UNS * INC # D8: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I3,I9: 7..:
* INC # I3: 7 => UNS * INC # I9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 => UNS * INC # I3: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B4,C4: 7..:
* INC # C4: 7 # B6: 1,6 => UNS * INC # C4: 7 # B6: 3,4 => UNS * INC # C4: 7 # I4: 1,6 => UNS * INC # C4: 7 # I4: 8,9 => UNS * INC # C4: 7 # H5: 1,5 => UNS * INC # C4: 7 # H6: 1,5 => UNS * INC # C4: 7 # I6: 1,5 => UNS * INC # C4: 7 # D5: 1,5 => UNS * INC # C4: 7 # E5: 1,5 => UNS * INC # C4: 7 # G3: 1,5 => UNS * INC # C4: 7 # G3: 2,3,4 => UNS * INC # C4: 7 # A8: 4,8 => UNS * INC # C4: 7 # A9: 4,8 => UNS * INC # C4: 7 # C9: 4,8 => UNS * INC # C4: 7 # G7: 4,8 => UNS * INC # C4: 7 # H7: 4,8 => UNS * INC # C4: 7 # B6: 1,6 # C1: 2,3 => UNS * INC # C4: 7 # B6: 1,6 # C2: 2,3 => UNS * INC # C4: 7 # B6: 1,6 # E3: 2,3 => UNS * PRF # C4: 7 # B6: 1,6 # G3: 2,3 => SOL * STA # C4: 7 # B6: 1,6 + G3: 2,3 * CNT 20 HDP CHAINS / 22 HYP OPENED