Analysis of xx-ph-00061159-12_11-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.....6...9......7..59..4..3...5...8.7...9.....4.2..1...73....6.5...7...2..51. initial
Autosolve
position: 98.7.....6...9..7...7..59..4..3...5...8.7...9.....4.2..1...73....6.5...7...2..51. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:51.535597
List of important HDP chains detected for G5,H5: 4..:
* DIS # H5: 4 # H3: 8 # G4: 1,6 => CTR => G4: 7,8 * DIS # H5: 4 # H3: 8 + G4: 7,8 # D7: 4,8 => CTR => D7: 9 * PRF # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # C2: 1,2 => SOL * STA # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 + C2: 1,2 * CNT 3 HDP CHAINS / 68 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...9......7..59..4..3...5...8.7...9.....4.2..1...73....6.5...7...2..51. | initial |
| 98.7.....6...9..7...7..59..4..3...5...8.7...9.....4.2..1...73....6.5...7...2..51. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D8,F8: 1.. / D8 = 1 => 2 pairs (_) / F8 = 1 => 3 pairs (_) I7,G8: 2.. / I7 = 2 => 2 pairs (_) / G8 = 2 => 3 pairs (_) H5,I6: 3.. / H5 = 3 => 2 pairs (_) / I6 = 3 => 1 pairs (_) G5,H5: 4.. / G5 = 4 => 2 pairs (_) / H5 = 4 => 3 pairs (_) I1,I2: 5.. / I1 = 5 => 0 pairs (_) / I2 = 5 => 0 pairs (_) D5,D6: 5.. / D5 = 5 => 0 pairs (_) / D6 = 5 => 3 pairs (_) A7,C7: 5.. / A7 = 5 => 0 pairs (_) / C7 = 5 => 1 pairs (_) C1,I1: 5.. / C1 = 5 => 0 pairs (_) / I1 = 5 => 0 pairs (_) G4,G6: 7.. / G4 = 7 => 0 pairs (_) / G6 = 7 => 0 pairs (_) A9,B9: 7.. / A9 = 7 => 0 pairs (_) / B9 = 7 => 1 pairs (_) B4,G4: 7.. / B4 = 7 => 0 pairs (_) / G4 = 7 => 0 pairs (_) A6,A9: 7.. / A6 = 7 => 1 pairs (_) / A9 = 7 => 0 pairs (_) F4,D6: 9.. / F4 = 9 => 1 pairs (_) / D6 = 9 => 0 pairs (_) H7,H8: 9.. / H7 = 9 => 2 pairs (_) / H8 = 9 => 0 pairs (_) * DURATION: 0:00:08.800873 START: 13:00:14.633656 END: 13:00:23.434529 2020-12-21 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G5,H5: 4.. / G5 = 4 ==> 2 pairs (_) / H5 = 4 ==> 3 pairs (_) I7,G8: 2.. / I7 = 2 ==> 2 pairs (_) / G8 = 2 ==> 3 pairs (_) D8,F8: 1.. / D8 = 1 ==> 2 pairs (_) / F8 = 1 ==> 3 pairs (_) D5,D6: 5.. / D5 = 5 ==> 0 pairs (_) / D6 = 5 ==> 3 pairs (_) H5,I6: 3.. / H5 = 3 ==> 2 pairs (_) / I6 = 3 ==> 1 pairs (_) H7,H8: 9.. / H7 = 9 ==> 2 pairs (_) / H8 = 9 ==> 0 pairs (_) F4,D6: 9.. / F4 = 9 ==> 1 pairs (_) / D6 = 9 ==> 0 pairs (_) A6,A9: 7.. / A6 = 7 ==> 1 pairs (_) / A9 = 7 ==> 0 pairs (_) A9,B9: 7.. / A9 = 7 ==> 0 pairs (_) / B9 = 7 ==> 1 pairs (_) A7,C7: 5.. / A7 = 5 ==> 0 pairs (_) / C7 = 5 ==> 1 pairs (_) B4,G4: 7.. / B4 = 7 ==> 0 pairs (_) / G4 = 7 ==> 0 pairs (_) G4,G6: 7.. / G4 = 7 ==> 0 pairs (_) / G6 = 7 ==> 0 pairs (_) C1,I1: 5.. / C1 = 5 ==> 0 pairs (_) / I1 = 5 ==> 0 pairs (_) I1,I2: 5.. / I1 = 5 ==> 0 pairs (_) / I2 = 5 ==> 0 pairs (_) * DURATION: 0:01:12.232264 START: 13:00:23.435084 END: 13:01:35.667348 2020-12-21 * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) G5,H5: 4.. / G5 = 4 => 0 pairs (X) / H5 = 4 ==> 0 pairs (*) * DURATION: 0:00:51.532627 START: 13:01:35.835328 END: 13:02:27.367955 2020-12-21 * REASONING G5,H5: 4.. * DIS # H5: 4 # H3: 8 # G4: 1,6 => CTR => G4: 7,8 * DIS # H5: 4 # H3: 8 + G4: 7,8 # D7: 4,8 => CTR => D7: 9 * PRF # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # C2: 1,2 => SOL * STA # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 + C2: 1,2 * CNT 3 HDP CHAINS / 68 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
61159;12_11;GP;25;11.30;1.50;1.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G5,H5: 4..:
* INC # H5: 4 # H3: 3,6 => UNS * INC # H5: 4 # H3: 8 => UNS * INC # H5: 4 # E1: 3,6 => UNS * INC # H5: 4 # F1: 3,6 => UNS * INC # H5: 4 # G4: 1,6 => UNS * INC # H5: 4 # I4: 1,6 => UNS * INC # H5: 4 # G6: 1,6 => UNS * INC # H5: 4 # D5: 1,6 => UNS * INC # H5: 4 # F5: 1,6 => UNS * INC # H5: 4 # G1: 1,6 => UNS * INC # H5: 4 # G1: 2,4 => UNS * INC # H5: 4 # H7: 8,9 => UNS * INC # H5: 4 # H7: 6 => UNS * INC # H5: 4 # D8: 8,9 => UNS * INC # H5: 4 # F8: 8,9 => UNS * INC # H5: 4 => UNS * INC # G5: 4 # I6: 3,6 => UNS * INC # G5: 4 # I6: 1,8 => UNS * INC # G5: 4 # B5: 3,6 => UNS * INC # G5: 4 # B5: 2,5 => UNS * INC # G5: 4 # H1: 3,6 => UNS * INC # G5: 4 # H3: 3,6 => UNS * INC # G5: 4 # I7: 2,8 => UNS * INC # G5: 4 # I7: 4,6 => UNS * INC # G5: 4 # A8: 2,8 => UNS * INC # G5: 4 # A8: 3 => UNS * INC # G5: 4 # G2: 2,8 => UNS * INC # G5: 4 # G2: 1 => UNS * INC # G5: 4 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for I7,G8: 2..:
* INC # G8: 2 # A5: 2,5 => UNS * INC # G8: 2 # A5: 1,3 => UNS * INC # G8: 2 # C1: 2,5 => UNS * INC # G8: 2 # C2: 2,5 => UNS * INC # G8: 2 # A9: 3,8 => UNS * INC # G8: 2 # A9: 7 => UNS * INC # G8: 2 # F8: 3,8 => UNS * INC # G8: 2 # F8: 1,9 => UNS * INC # G8: 2 => UNS * INC # I7: 2 # H7: 4,8 => UNS * INC # I7: 2 # H8: 4,8 => UNS * INC # I7: 2 # I9: 4,8 => UNS * INC # I7: 2 # D8: 4,8 => UNS * INC # I7: 2 # D8: 1,9 => UNS * INC # I7: 2 # G2: 4,8 => UNS * INC # I7: 2 # G2: 1,2 => UNS * INC # I7: 2 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for D8,F8: 1..:
* INC # F8: 1 # E4: 2,6 => UNS * INC # F8: 1 # F4: 2,6 => UNS * INC # F8: 1 # B5: 2,6 => UNS * INC # F8: 1 # B5: 3,5 => UNS * INC # F8: 1 # F1: 2,6 => UNS * INC # F8: 1 # F1: 3 => UNS * INC # F8: 1 # C7: 4,9 => UNS * INC # F8: 1 # B8: 4,9 => UNS * INC # F8: 1 # B9: 4,9 => UNS * INC # F8: 1 => UNS * INC # D8: 1 # D3: 4,8 => UNS * INC # D8: 1 # E3: 4,8 => UNS * INC # D8: 1 # G2: 4,8 => UNS * INC # D8: 1 # I2: 4,8 => UNS * INC # D8: 1 # D7: 4,8 => UNS * INC # D8: 1 # D7: 6,9 => UNS * INC # D8: 1 # D6: 5,6 => UNS * INC # D8: 1 # D6: 8,9 => UNS * INC # D8: 1 # B5: 5,6 => UNS * INC # D8: 1 # B5: 2,3 => UNS * INC # D8: 1 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for D5,D6: 5..:
* INC # D6: 5 # A5: 1,2 => UNS * INC # D6: 5 # A5: 3,5 => UNS * INC # D6: 5 # E4: 1,2 => UNS * INC # D6: 5 # E4: 6,8 => UNS * INC # D6: 5 # C1: 1,2 => UNS * INC # D6: 5 # C2: 1,2 => UNS * INC # D6: 5 # E4: 1,6 => UNS * INC # D6: 5 # F5: 1,6 => UNS * INC # D6: 5 # E6: 1,6 => UNS * INC # D6: 5 # G5: 1,6 => UNS * INC # D6: 5 # G5: 4 => UNS * INC # D6: 5 # D3: 1,6 => UNS * INC # D6: 5 # D3: 4,8 => UNS * INC # D6: 5 # D7: 4,6 => UNS * INC # D6: 5 # E9: 4,6 => UNS * INC # D6: 5 # H7: 4,6 => UNS * INC # D6: 5 # I7: 4,6 => UNS * INC # D6: 5 # E1: 4,6 => UNS * INC # D6: 5 # E3: 4,6 => UNS * INC # D6: 5 => UNS * INC # D5: 5 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for H5,I6: 3..:
* INC # H5: 3 # I1: 4,6 => UNS * INC # H5: 3 # H3: 4,6 => UNS * INC # H5: 3 # I3: 4,6 => UNS * INC # H5: 3 # E1: 4,6 => UNS * INC # H5: 3 # E1: 1,2,3 => UNS * INC # H5: 3 # H7: 4,6 => UNS * INC # H5: 3 # H7: 8,9 => UNS * INC # H5: 3 # I7: 2,8 => UNS * INC # H5: 3 # I7: 4,6 => UNS * INC # H5: 3 # A8: 2,8 => UNS * INC # H5: 3 # A8: 3 => UNS * INC # H5: 3 # G2: 2,8 => UNS * INC # H5: 3 # G2: 1 => UNS * INC # H5: 3 => UNS * INC # I6: 3 # G5: 4,6 => UNS * INC # I6: 3 # G5: 1 => UNS * INC # I6: 3 # H1: 4,6 => UNS * INC # I6: 3 # H3: 4,6 => UNS * INC # I6: 3 # H7: 4,6 => UNS * INC # I6: 3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for H7,H8: 9..:
* INC # H7: 9 # G4: 1,8 => UNS * INC # H7: 9 # G6: 1,8 => UNS * INC # H7: 9 # I6: 1,8 => UNS * INC # H7: 9 # E4: 1,8 => UNS * INC # H7: 9 # F4: 1,8 => UNS * INC # H7: 9 # I2: 1,8 => UNS * INC # H7: 9 # I3: 1,8 => UNS * INC # H7: 9 # I7: 4,8 => UNS * INC # H7: 9 # G8: 4,8 => UNS * INC # H7: 9 # I9: 4,8 => UNS * INC # H7: 9 # D8: 4,8 => UNS * INC # H7: 9 # D8: 1,9 => UNS * INC # H7: 9 # H3: 4,8 => UNS * INC # H7: 9 # H3: 3,6 => UNS * INC # H7: 9 => UNS * INC # H8: 9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for F4,D6: 9..:
* INC # F4: 9 # A5: 1,2 => UNS * INC # F4: 9 # A5: 3,5 => UNS * INC # F4: 9 # E4: 1,2 => UNS * INC # F4: 9 # E4: 6,8 => UNS * INC # F4: 9 # C1: 1,2 => UNS * INC # F4: 9 # C2: 1,2 => UNS * INC # F4: 9 => UNS * INC # D6: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A6,A9: 7..:
* INC # A6: 7 # A8: 3,8 => UNS * INC # A6: 7 # A8: 2 => UNS * INC # A6: 7 # E9: 3,8 => UNS * INC # A6: 7 # F9: 3,8 => UNS * INC # A6: 7 => UNS * INC # A9: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A9,B9: 7..:
* INC # B9: 7 # A8: 3,8 => UNS * INC # B9: 7 # A8: 2 => UNS * INC # B9: 7 # E9: 3,8 => UNS * INC # B9: 7 # F9: 3,8 => UNS * INC # B9: 7 => UNS * INC # A9: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A7,C7: 5..:
* INC # C7: 5 # A8: 2,8 => UNS * INC # C7: 5 # A8: 3 => UNS * INC # C7: 5 # I7: 2,8 => UNS * INC # C7: 5 # I7: 4,6 => UNS * INC # C7: 5 => UNS * INC # A7: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for B4,G4: 7..:
* INC # B4: 7 => UNS * INC # G4: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G4,G6: 7..:
* INC # G4: 7 => UNS * INC # G6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C1,I1: 5..:
* INC # C1: 5 => UNS * INC # I1: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I1,I2: 5..:
* INC # I1: 5 => UNS * INC # I2: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for G5,H5: 4..:
* INC # H5: 4 # H3: 3,6 => UNS * INC # H5: 4 # H3: 8 => UNS * INC # H5: 4 # E1: 3,6 => UNS * INC # H5: 4 # F1: 3,6 => UNS * INC # H5: 4 # G4: 1,6 => UNS * INC # H5: 4 # I4: 1,6 => UNS * INC # H5: 4 # G6: 1,6 => UNS * INC # H5: 4 # D5: 1,6 => UNS * INC # H5: 4 # F5: 1,6 => UNS * INC # H5: 4 # G1: 1,6 => UNS * INC # H5: 4 # G1: 2,4 => UNS * INC # H5: 4 # H7: 8,9 => UNS * INC # H5: 4 # H7: 6 => UNS * INC # H5: 4 # D8: 8,9 => UNS * INC # H5: 4 # F8: 8,9 => UNS * INC # H5: 4 # H3: 3,6 # E1: 3,6 => UNS * INC # H5: 4 # H3: 3,6 # F1: 3,6 => UNS * INC # H5: 4 # H3: 3,6 # E3: 3,6 => UNS * INC # H5: 4 # H3: 3,6 # E3: 1,2,4,8 => UNS * INC # H5: 4 # H3: 3,6 # G4: 1,8 => UNS * INC # H5: 4 # H3: 3,6 # G6: 1,8 => UNS * INC # H5: 4 # H3: 3,6 # E4: 1,8 => UNS * INC # H5: 4 # H3: 3,6 # F4: 1,8 => UNS * INC # H5: 4 # H3: 3,6 # I2: 1,8 => UNS * INC # H5: 4 # H3: 3,6 # I3: 1,8 => UNS * INC # H5: 4 # H3: 3,6 # G4: 1,6 => UNS * INC # H5: 4 # H3: 3,6 # G6: 1,6 => UNS * INC # H5: 4 # H3: 3,6 # D5: 1,6 => UNS * INC # H5: 4 # H3: 3,6 # F5: 1,6 => UNS * INC # H5: 4 # H3: 3,6 # D7: 8,9 => UNS * INC # H5: 4 # H3: 3,6 # D7: 4,6 => UNS * INC # H5: 4 # H3: 3,6 # I7: 2,4 => UNS * INC # H5: 4 # H3: 3,6 # I7: 6 => UNS * INC # H5: 4 # H3: 3,6 # B8: 2,4 => UNS * INC # H5: 4 # H3: 3,6 # B8: 3,9 => UNS * INC # H5: 4 # H3: 3,6 # G1: 2,4 => UNS * INC # H5: 4 # H3: 3,6 # G2: 2,4 => UNS * INC # H5: 4 # H3: 3,6 # D8: 8,9 => UNS * INC # H5: 4 # H3: 3,6 # F8: 8,9 => UNS * INC # H5: 4 # H3: 3,6 # I7: 4,6 => UNS * INC # H5: 4 # H3: 3,6 # I7: 2 => UNS * INC # H5: 4 # H3: 3,6 # E9: 4,6 => UNS * INC # H5: 4 # H3: 3,6 # E9: 3,8 => UNS * INC # H5: 4 # H3: 3,6 => UNS * DIS # H5: 4 # H3: 8 # G4: 1,6 => CTR => G4: 7,8 * INC # H5: 4 # H3: 8 + G4: 7,8 # I4: 1,6 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 # G6: 1,6 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 # D5: 1,6 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 # F5: 1,6 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 # G1: 1,6 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 # G1: 2,4 => UNS * DIS # H5: 4 # H3: 8 + G4: 7,8 # D7: 4,8 => CTR => D7: 9 * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # D8: 4,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # E9: 4,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # I7: 4,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # I7: 2 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # I7: 4,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # G8: 4,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # E9: 4,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # E9: 3,6 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # A5: 1,2 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # A5: 3,5 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # E4: 1,2 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # E4: 6,8 => UNS * INC # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # C1: 1,2 => UNS * PRF # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 # C2: 1,2 => SOL * STA # H5: 4 # H3: 8 + G4: 7,8 + D7: 9 + C2: 1,2 * CNT 66 HDP CHAINS / 68 HYP OPENED