Analysis of xx-ph-01365690-14_01-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..7...5..9...4......63.8....9.....57........83.59.6...8...2.8...6.....1... initial
Autosolve
position: 98.7..6..7...5..9...4......63.8....9.....576.......83.59.6...8...2.8...6.....1... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for G8,G9: 9..:
* DIS # G8: 9 # F3: 8 => CTR => F3: 6,9 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:31.913940
List of important HDP chains detected for C2,C9: 6..:
* DIS # C9: 6 # C1: 1,3 # I1: 1,3 => CTR => I1: 2,4 * PRF # C9: 6 # C1: 1,3 + I1: 2,4 # D2: 1,3 => SOL * STA # C9: 6 # C1: 1,3 + I1: 2,4 + D2: 1,3 * CNT 2 HDP CHAINS / 26 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..7...5..9...4......63.8....9.....57........83.59.6...8...2.8...6.....1... | initial |
| 98.7..6..7...5..9...4......63.8....9.....576.......83.59.6...8...2.8...6.....1... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,E5: 3.. / D5 = 3 => 0 pairs (_) / E5 = 3 => 0 pairs (_) C1,B3: 5.. / C1 = 5 => 2 pairs (_) / B3 = 5 => 1 pairs (_) D8,D9: 5.. / D8 = 5 => 0 pairs (_) / D9 = 5 => 0 pairs (_) B3,B6: 5.. / B3 = 5 => 1 pairs (_) / B6 = 5 => 2 pairs (_) E6,F6: 6.. / E6 = 6 => 2 pairs (_) / F6 = 6 => 0 pairs (_) B9,C9: 6.. / B9 = 6 => 1 pairs (_) / C9 = 6 => 6 pairs (_) C2,C9: 6.. / C2 = 6 => 1 pairs (_) / C9 = 6 => 6 pairs (_) E3,E6: 6.. / E3 = 6 => 0 pairs (_) / E6 = 6 => 2 pairs (_) H3,I3: 7.. / H3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) F2,F3: 8.. / F2 = 8 => 0 pairs (_) / F3 = 8 => 0 pairs (_) I2,I3: 8.. / I2 = 8 => 0 pairs (_) / I3 = 8 => 0 pairs (_) A5,C5: 8.. / A5 = 8 => 3 pairs (_) / C5 = 8 => 4 pairs (_) A9,C9: 8.. / A9 = 8 => 4 pairs (_) / C9 = 8 => 3 pairs (_) F2,I2: 8.. / F2 = 8 => 0 pairs (_) / I2 = 8 => 0 pairs (_) F3,I3: 8.. / F3 = 8 => 0 pairs (_) / I3 = 8 => 0 pairs (_) A5,A9: 8.. / A5 = 8 => 3 pairs (_) / A9 = 8 => 4 pairs (_) C5,C9: 8.. / C5 = 8 => 4 pairs (_) / C9 = 8 => 3 pairs (_) C5,C6: 9.. / C5 = 9 => 2 pairs (_) / C6 = 9 => 5 pairs (_) G8,G9: 9.. / G8 = 9 => 2 pairs (_) / G9 = 9 => 0 pairs (_) * DURATION: 0:00:12.267739 START: 10:01:23.173548 END: 10:01:35.441287 2020-09-24 * CP COUNT: (19) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C2,C9: 6.. / C2 = 6 ==> 1 pairs (_) / C9 = 6 ==> 6 pairs (_) B9,C9: 6.. / B9 = 6 ==> 1 pairs (_) / C9 = 6 ==> 6 pairs (_) C5,C6: 9.. / C5 = 9 ==> 2 pairs (_) / C6 = 9 ==> 5 pairs (_) C5,C9: 8.. / C5 = 8 ==> 4 pairs (_) / C9 = 8 ==> 3 pairs (_) A5,A9: 8.. / A5 = 8 ==> 3 pairs (_) / A9 = 8 ==> 4 pairs (_) A9,C9: 8.. / A9 = 8 ==> 4 pairs (_) / C9 = 8 ==> 3 pairs (_) A5,C5: 8.. / A5 = 8 ==> 3 pairs (_) / C5 = 8 ==> 4 pairs (_) B3,B6: 5.. / B3 = 5 ==> 1 pairs (_) / B6 = 5 ==> 2 pairs (_) C1,B3: 5.. / C1 = 5 ==> 2 pairs (_) / B3 = 5 ==> 1 pairs (_) G8,G9: 9.. / G8 = 9 ==> 2 pairs (_) / G9 = 9 ==> 0 pairs (_) E3,E6: 6.. / E3 = 6 ==> 0 pairs (_) / E6 = 6 ==> 2 pairs (_) E6,F6: 6.. / E6 = 6 ==> 2 pairs (_) / F6 = 6 ==> 0 pairs (_) F3,I3: 8.. / F3 = 8 ==> 0 pairs (_) / I3 = 8 ==> 0 pairs (_) F2,I2: 8.. / F2 = 8 ==> 0 pairs (_) / I2 = 8 ==> 0 pairs (_) I2,I3: 8.. / I2 = 8 ==> 0 pairs (_) / I3 = 8 ==> 0 pairs (_) F2,F3: 8.. / F2 = 8 ==> 0 pairs (_) / F3 = 8 ==> 0 pairs (_) H3,I3: 7.. / H3 = 7 ==> 0 pairs (_) / I3 = 7 ==> 0 pairs (_) D8,D9: 5.. / D8 = 5 ==> 0 pairs (_) / D9 = 5 ==> 0 pairs (_) D5,E5: 3.. / D5 = 3 ==> 0 pairs (_) / E5 = 3 ==> 0 pairs (_) * DURATION: 0:01:56.160529 START: 10:01:35.441892 END: 10:03:31.602421 2020-09-24 * REASONING G8,G9: 9.. * DIS # G8: 9 # F3: 8 => CTR => F3: 6,9 * CNT 1 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (19) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) C2,C9: 6.. / C2 = 6 => 0 pairs (X) / C9 = 6 ==> 0 pairs (*) * DURATION: 0:00:31.910773 START: 10:03:31.836436 END: 10:04:03.747209 2020-09-24 * REASONING C2,C9: 6.. * DIS # C9: 6 # C1: 1,3 # I1: 1,3 => CTR => I1: 2,4 * PRF # C9: 6 # C1: 1,3 + I1: 2,4 # D2: 1,3 => SOL * STA # C9: 6 # C1: 1,3 + I1: 2,4 + D2: 1,3 * CNT 2 HDP CHAINS / 26 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1365690;14_01;GP;24;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C2,C9: 6..:
* INC # C9: 6 # C1: 1,3 => UNS * INC # C9: 6 # A3: 1,3 => UNS * INC # C9: 6 # D2: 1,3 => UNS * INC # C9: 6 # G2: 1,3 => UNS * INC # C9: 6 # I2: 1,3 => UNS * INC # C9: 6 # C7: 1,3 => UNS * INC # C9: 6 # C7: 7 => UNS * INC # C9: 6 # D3: 3,9 => UNS * INC # C9: 6 # D8: 3,9 => UNS * INC # C9: 6 # D9: 3,9 => UNS * INC # C9: 6 # E3: 3,9 => UNS * INC # C9: 6 # E9: 3,9 => UNS * INC # C9: 6 # B8: 4,7 => UNS * INC # C9: 6 # B8: 1 => UNS * INC # C9: 6 # E9: 4,7 => UNS * INC # C9: 6 # H9: 4,7 => UNS * INC # C9: 6 # I9: 4,7 => UNS * INC # C9: 6 => UNS * INC # C2: 6 # A3: 1,2 => UNS * INC # C2: 6 # B3: 1,2 => UNS * INC # C2: 6 # D2: 1,2 => UNS * INC # C2: 6 # G2: 1,2 => UNS * INC # C2: 6 # I2: 1,2 => UNS * INC # C2: 6 # B5: 1,2 => UNS * INC # C2: 6 # B6: 1,2 => UNS * INC # C2: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for B9,C9: 6..:
* INC # C9: 6 # C1: 1,3 => UNS * INC # C9: 6 # A3: 1,3 => UNS * INC # C9: 6 # D2: 1,3 => UNS * INC # C9: 6 # G2: 1,3 => UNS * INC # C9: 6 # I2: 1,3 => UNS * INC # C9: 6 # C7: 1,3 => UNS * INC # C9: 6 # C7: 7 => UNS * INC # C9: 6 # D3: 3,9 => UNS * INC # C9: 6 # D8: 3,9 => UNS * INC # C9: 6 # D9: 3,9 => UNS * INC # C9: 6 # E3: 3,9 => UNS * INC # C9: 6 # E9: 3,9 => UNS * INC # C9: 6 # B8: 4,7 => UNS * INC # C9: 6 # B8: 1 => UNS * INC # C9: 6 # E9: 4,7 => UNS * INC # C9: 6 # H9: 4,7 => UNS * INC # C9: 6 # I9: 4,7 => UNS * INC # C9: 6 => UNS * INC # B9: 6 # A3: 1,2 => UNS * INC # B9: 6 # B3: 1,2 => UNS * INC # B9: 6 # D2: 1,2 => UNS * INC # B9: 6 # G2: 1,2 => UNS * INC # B9: 6 # I2: 1,2 => UNS * INC # B9: 6 # B5: 1,2 => UNS * INC # B9: 6 # B6: 1,2 => UNS * INC # B9: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for C5,C6: 9..:
* INC # C6: 9 # A5: 1,8 => UNS * INC # C6: 9 # A5: 2,4 => UNS * INC # C6: 9 # D3: 3,9 => UNS * INC # C6: 9 # D8: 3,9 => UNS * INC # C6: 9 # D9: 3,9 => UNS * INC # C6: 9 # E3: 3,9 => UNS * INC # C6: 9 # E9: 3,9 => UNS * INC # C6: 9 => UNS * INC # C5: 9 # A3: 1,2 => UNS * INC # C5: 9 # B3: 1,2 => UNS * INC # C5: 9 # D2: 1,2 => UNS * INC # C5: 9 # G2: 1,2 => UNS * INC # C5: 9 # I2: 1,2 => UNS * INC # C5: 9 # B5: 1,2 => UNS * INC # C5: 9 # B6: 1,2 => UNS * INC # C5: 9 # A8: 3,4 => UNS * INC # C5: 9 # A8: 1 => UNS * INC # C5: 9 # D9: 3,4 => UNS * INC # C5: 9 # E9: 3,4 => UNS * INC # C5: 9 # G9: 3,4 => UNS * INC # C5: 9 # I9: 3,4 => UNS * INC # C5: 9 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for C5,C9: 8..:
* INC # C5: 8 # D3: 3,9 => UNS * INC # C5: 8 # D8: 3,9 => UNS * INC # C5: 8 # D9: 3,9 => UNS * INC # C5: 8 # E3: 3,9 => UNS * INC # C5: 8 # E9: 3,9 => UNS * INC # C5: 8 => UNS * INC # C9: 8 # A3: 1,2 => UNS * INC # C9: 8 # B3: 1,2 => UNS * INC # C9: 8 # D2: 1,2 => UNS * INC # C9: 8 # G2: 1,2 => UNS * INC # C9: 8 # I2: 1,2 => UNS * INC # C9: 8 # B5: 1,2 => UNS * INC # C9: 8 # B6: 1,2 => UNS * INC # C9: 8 # C6: 1,9 => UNS * INC # C9: 8 # C6: 5,7 => UNS * INC # C9: 8 # D5: 1,9 => UNS * INC # C9: 8 # E5: 1,9 => UNS * INC # C9: 8 # A8: 3,4 => UNS * INC # C9: 8 # A8: 1 => UNS * INC # C9: 8 # D9: 3,4 => UNS * INC # C9: 8 # E9: 3,4 => UNS * INC # C9: 8 # G9: 3,4 => UNS * INC # C9: 8 # I9: 3,4 => UNS * INC # C9: 8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for A5,A9: 8..:
* INC # A9: 8 # D3: 3,9 => UNS * INC # A9: 8 # D8: 3,9 => UNS * INC # A9: 8 # D9: 3,9 => UNS * INC # A9: 8 # E3: 3,9 => UNS * INC # A9: 8 # E9: 3,9 => UNS * INC # A9: 8 => UNS * INC # A5: 8 # A3: 1,2 => UNS * INC # A5: 8 # B3: 1,2 => UNS * INC # A5: 8 # D2: 1,2 => UNS * INC # A5: 8 # G2: 1,2 => UNS * INC # A5: 8 # I2: 1,2 => UNS * INC # A5: 8 # B5: 1,2 => UNS * INC # A5: 8 # B6: 1,2 => UNS * INC # A5: 8 # C6: 1,9 => UNS * INC # A5: 8 # C6: 5,7 => UNS * INC # A5: 8 # D5: 1,9 => UNS * INC # A5: 8 # E5: 1,9 => UNS * INC # A5: 8 # A8: 3,4 => UNS * INC # A5: 8 # A8: 1 => UNS * INC # A5: 8 # D9: 3,4 => UNS * INC # A5: 8 # E9: 3,4 => UNS * INC # A5: 8 # G9: 3,4 => UNS * INC # A5: 8 # I9: 3,4 => UNS * INC # A5: 8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for A9,C9: 8..:
* INC # A9: 8 # D3: 3,9 => UNS * INC # A9: 8 # D8: 3,9 => UNS * INC # A9: 8 # D9: 3,9 => UNS * INC # A9: 8 # E3: 3,9 => UNS * INC # A9: 8 # E9: 3,9 => UNS * INC # A9: 8 => UNS * INC # C9: 8 # A3: 1,2 => UNS * INC # C9: 8 # B3: 1,2 => UNS * INC # C9: 8 # D2: 1,2 => UNS * INC # C9: 8 # G2: 1,2 => UNS * INC # C9: 8 # I2: 1,2 => UNS * INC # C9: 8 # B5: 1,2 => UNS * INC # C9: 8 # B6: 1,2 => UNS * INC # C9: 8 # C6: 1,9 => UNS * INC # C9: 8 # C6: 5,7 => UNS * INC # C9: 8 # D5: 1,9 => UNS * INC # C9: 8 # E5: 1,9 => UNS * INC # C9: 8 # A8: 3,4 => UNS * INC # C9: 8 # A8: 1 => UNS * INC # C9: 8 # D9: 3,4 => UNS * INC # C9: 8 # E9: 3,4 => UNS * INC # C9: 8 # G9: 3,4 => UNS * INC # C9: 8 # I9: 3,4 => UNS * INC # C9: 8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for A5,C5: 8..:
* INC # C5: 8 # D3: 3,9 => UNS * INC # C5: 8 # D8: 3,9 => UNS * INC # C5: 8 # D9: 3,9 => UNS * INC # C5: 8 # E3: 3,9 => UNS * INC # C5: 8 # E9: 3,9 => UNS * INC # C5: 8 => UNS * INC # A5: 8 # A3: 1,2 => UNS * INC # A5: 8 # B3: 1,2 => UNS * INC # A5: 8 # D2: 1,2 => UNS * INC # A5: 8 # G2: 1,2 => UNS * INC # A5: 8 # I2: 1,2 => UNS * INC # A5: 8 # B5: 1,2 => UNS * INC # A5: 8 # B6: 1,2 => UNS * INC # A5: 8 # C6: 1,9 => UNS * INC # A5: 8 # C6: 5,7 => UNS * INC # A5: 8 # D5: 1,9 => UNS * INC # A5: 8 # E5: 1,9 => UNS * INC # A5: 8 # A8: 3,4 => UNS * INC # A5: 8 # A8: 1 => UNS * INC # A5: 8 # D9: 3,4 => UNS * INC # A5: 8 # E9: 3,4 => UNS * INC # A5: 8 # G9: 3,4 => UNS * INC # A5: 8 # I9: 3,4 => UNS * INC # A5: 8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for B3,B6: 5..:
* INC # B6: 5 # C6: 1,7 => UNS * INC # B6: 5 # C6: 9 => UNS * INC # B6: 5 # E4: 1,7 => UNS * INC # B6: 5 # E4: 2,4 => UNS * INC # B6: 5 # A8: 1,3 => UNS * INC # B6: 5 # A8: 4 => UNS * INC # B6: 5 # G7: 1,3 => UNS * INC # B6: 5 # I7: 1,3 => UNS * INC # B6: 5 # C2: 1,3 => UNS * INC # B6: 5 # C2: 6 => UNS * INC # B6: 5 => UNS * INC # B3: 5 # C2: 1,3 => UNS * INC # B3: 5 # A3: 1,3 => UNS * INC # B3: 5 # E1: 1,3 => UNS * INC # B3: 5 # I1: 1,3 => UNS * INC # B3: 5 # C7: 1,3 => UNS * INC # B3: 5 # C7: 7 => UNS * INC # B3: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for C1,B3: 5..:
* INC # C1: 5 # C6: 1,7 => UNS * INC # C1: 5 # C6: 9 => UNS * INC # C1: 5 # E4: 1,7 => UNS * INC # C1: 5 # E4: 2,4 => UNS * INC # C1: 5 # A8: 1,3 => UNS * INC # C1: 5 # A8: 4 => UNS * INC # C1: 5 # G7: 1,3 => UNS * INC # C1: 5 # I7: 1,3 => UNS * INC # C1: 5 # C2: 1,3 => UNS * INC # C1: 5 # C2: 6 => UNS * INC # C1: 5 => UNS * INC # B3: 5 # C2: 1,3 => UNS * INC # B3: 5 # A3: 1,3 => UNS * INC # B3: 5 # E1: 1,3 => UNS * INC # B3: 5 # I1: 1,3 => UNS * INC # B3: 5 # C7: 1,3 => UNS * INC # B3: 5 # C7: 7 => UNS * INC # B3: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for G8,G9: 9..:
* INC # G8: 9 # F3: 6,8 => UNS * INC # G8: 9 # F3: 9 => UNS * INC # G8: 9 # E6: 6,9 => UNS * INC # G8: 9 # E6: 1,2,4,7 => UNS * INC # G8: 9 # F3: 6,9 => UNS * DIS # G8: 9 # F3: 8 => CTR => F3: 6,9 * INC # G8: 9 + F3: 6,9 # E6: 6,9 => UNS * INC # G8: 9 + F3: 6,9 # E6: 1,2,4,7 => UNS * INC # G8: 9 + F3: 6,9 # E3: 6,9 => UNS * INC # G8: 9 + F3: 6,9 # E3: 1,2,3 => UNS * INC # G8: 9 + F3: 6,9 # E6: 6,9 => UNS * INC # G8: 9 + F3: 6,9 # E6: 1,2,4,7 => UNS * INC # G8: 9 + F3: 6,9 => UNS * INC # G9: 9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E3,E6: 6..:
* INC # E6: 6 => UNS * INC # E3: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E6,F6: 6..:
* INC # E6: 6 => UNS * INC # F6: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F3,I3: 8..:
* INC # F3: 8 => UNS * INC # I3: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F2,I2: 8..:
* INC # F2: 8 => UNS * INC # I2: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I2,I3: 8..:
* INC # I2: 8 => UNS * INC # I3: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F2,F3: 8..:
* INC # F2: 8 => UNS * INC # F3: 8 => 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
Full list of HDP chains traversed for D8,D9: 5..:
* INC # D8: 5 => UNS * INC # D9: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for D5,E5: 3..:
* INC # D5: 3 => UNS * INC # E5: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for C2,C9: 6..:
* INC # C9: 6 # C1: 1,3 => UNS * INC # C9: 6 # A3: 1,3 => UNS * INC # C9: 6 # D2: 1,3 => UNS * INC # C9: 6 # G2: 1,3 => UNS * INC # C9: 6 # I2: 1,3 => UNS * INC # C9: 6 # C7: 1,3 => UNS * INC # C9: 6 # C7: 7 => UNS * INC # C9: 6 # D3: 3,9 => UNS * INC # C9: 6 # D8: 3,9 => UNS * INC # C9: 6 # D9: 3,9 => UNS * INC # C9: 6 # E3: 3,9 => UNS * INC # C9: 6 # E9: 3,9 => UNS * INC # C9: 6 # B8: 4,7 => UNS * INC # C9: 6 # B8: 1 => UNS * INC # C9: 6 # E9: 4,7 => UNS * INC # C9: 6 # H9: 4,7 => UNS * INC # C9: 6 # I9: 4,7 => UNS * INC # C9: 6 # C1: 1,3 # E1: 1,3 => UNS * DIS # C9: 6 # C1: 1,3 # I1: 1,3 => CTR => I1: 2,4 * INC # C9: 6 # C1: 1,3 + I1: 2,4 # E1: 1,3 => UNS * INC # C9: 6 # C1: 1,3 + I1: 2,4 # E1: 2,4 => UNS * INC # C9: 6 # C1: 1,3 + I1: 2,4 # E1: 1,3 => UNS * INC # C9: 6 # C1: 1,3 + I1: 2,4 # E1: 2,4 => UNS * PRF # C9: 6 # C1: 1,3 + I1: 2,4 # D2: 1,3 => SOL * STA # C9: 6 # C1: 1,3 + I1: 2,4 + D2: 1,3 * CNT 24 HDP CHAINS / 26 HYP OPENED