Analysis of xx-ph-01055196-13_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75.....9...6......49..7...3..79...6...58...7...96...5.....8.........21.. initial
Autosolve
position: 98.7..6..75..6..9...6......49..76..3..79...6...58...7...96...5.....8.........21.. 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: 0:00:45.964959
List of important HDP chains detected for D4,G4: 5..:
* DIS # D4: 5 # H4: 2,8 # B6: 2,3 => CTR => B6: 6 * PRF # D4: 5 # H4: 2,8 + B6: 6 # G2: 2,8 => SOL * STA # D4: 5 # H4: 2,8 + B6: 6 + G2: 2,8 * CNT 2 HDP CHAINS / 36 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.....9...6......49..7...3..79...6...58...7...96...5.....8.........21.. | initial |
| 98.7..6..75..6..9...6......49..76..3..79...6...58...7...96...5.....8.........21.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,A9: 5.. / A8 = 5 => 0 pairs (_) / A9 = 5 => 3 pairs (_) D4,G4: 5.. / D4 = 5 => 7 pairs (_) / G4 = 5 => 1 pairs (_) A6,B6: 6.. / A6 = 6 => 2 pairs (_) / B6 = 6 => 2 pairs (_) I8,I9: 6.. / I8 = 6 => 0 pairs (_) / I9 = 6 => 0 pairs (_) G3,I3: 7.. / G3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) F7,F8: 7.. / F7 = 7 => 1 pairs (_) / F8 = 7 => 1 pairs (_) B9,I9: 7.. / B9 = 7 => 0 pairs (_) / I9 = 7 => 1 pairs (_) F2,F3: 8.. / F2 = 8 => 0 pairs (_) / F3 = 8 => 0 pairs (_) C4,A5: 8.. / C4 = 8 => 3 pairs (_) / A5 = 8 => 2 pairs (_) C4,C9: 8.. / C4 = 8 => 3 pairs (_) / C9 = 8 => 2 pairs (_) E3,F3: 9.. / E3 = 9 => 0 pairs (_) / F3 = 9 => 0 pairs (_) G6,I6: 9.. / G6 = 9 => 2 pairs (_) / I6 = 9 => 1 pairs (_) F8,E9: 9.. / F8 = 9 => 0 pairs (_) / E9 = 9 => 0 pairs (_) E9,I9: 9.. / E9 = 9 => 0 pairs (_) / I9 = 9 => 0 pairs (_) E3,E9: 9.. / E3 = 9 => 0 pairs (_) / E9 = 9 => 0 pairs (_) F3,F8: 9.. / F3 = 9 => 0 pairs (_) / F8 = 9 => 0 pairs (_) G6,G8: 9.. / G6 = 9 => 2 pairs (_) / G8 = 9 => 1 pairs (_) * DURATION: 0:00:13.121287 START: 10:19:50.717747 END: 10:20:03.839034 2021-01-12 * CP COUNT: (17) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D4,G4: 5.. / D4 = 5 ==> 7 pairs (_) / G4 = 5 ==> 1 pairs (_) C4,C9: 8.. / C4 = 8 ==> 3 pairs (_) / C9 = 8 ==> 2 pairs (_) C4,A5: 8.. / C4 = 8 ==> 3 pairs (_) / A5 = 8 ==> 2 pairs (_) A8,A9: 5.. / A8 = 5 ==> 0 pairs (_) / A9 = 5 ==> 3 pairs (_) A6,B6: 6.. / A6 = 6 ==> 2 pairs (_) / B6 = 6 ==> 2 pairs (_) G6,G8: 9.. / G6 = 9 ==> 2 pairs (_) / G8 = 9 ==> 1 pairs (_) G6,I6: 9.. / G6 = 9 ==> 2 pairs (_) / I6 = 9 ==> 1 pairs (_) F7,F8: 7.. / F7 = 7 ==> 1 pairs (_) / F8 = 7 ==> 1 pairs (_) B9,I9: 7.. / B9 = 7 ==> 0 pairs (_) / I9 = 7 ==> 1 pairs (_) F3,F8: 9.. / F3 = 9 ==> 0 pairs (_) / F8 = 9 ==> 0 pairs (_) E3,E9: 9.. / E3 = 9 ==> 0 pairs (_) / E9 = 9 ==> 0 pairs (_) E9,I9: 9.. / E9 = 9 ==> 0 pairs (_) / I9 = 9 ==> 0 pairs (_) F8,E9: 9.. / F8 = 9 ==> 0 pairs (_) / E9 = 9 ==> 0 pairs (_) E3,F3: 9.. / E3 = 9 ==> 0 pairs (_) / F3 = 9 ==> 0 pairs (_) F2,F3: 8.. / F2 = 8 ==> 0 pairs (_) / F3 = 8 ==> 0 pairs (_) G3,I3: 7.. / G3 = 7 ==> 0 pairs (_) / I3 = 7 ==> 0 pairs (_) I8,I9: 6.. / I8 = 6 ==> 0 pairs (_) / I9 = 6 ==> 0 pairs (_) * DURATION: 0:01:44.758599 START: 10:20:03.839699 END: 10:21:48.598298 2021-01-12 * DCP COUNT: (17) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D4,G4: 5.. / D4 = 5 ==> 0 pairs (*) / G4 = 5 => 0 pairs (X) * DURATION: 0:00:45.962133 START: 10:21:48.826749 END: 10:22:34.788882 2021-01-12 * REASONING D4,G4: 5.. * DIS # D4: 5 # H4: 2,8 # B6: 2,3 => CTR => B6: 6 * PRF # D4: 5 # H4: 2,8 + B6: 6 # G2: 2,8 => SOL * STA # D4: 5 # H4: 2,8 + B6: 6 + G2: 2,8 * CNT 2 HDP CHAINS / 36 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1055196;13_07;GP;24;11.30;1.50;1.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D4,G4: 5..:
* INC # D4: 5 # H4: 2,8 => UNS * INC # D4: 5 # G5: 2,8 => UNS * INC # D4: 5 # I5: 2,8 => UNS * INC # D4: 5 # C4: 2,8 => UNS * INC # D4: 5 # C4: 1 => UNS * INC # D4: 5 # G2: 2,8 => UNS * INC # D4: 5 # G3: 2,8 => UNS * INC # D4: 5 # G7: 2,8 => UNS * INC # D4: 5 # A8: 5,6 => UNS * INC # D4: 5 # A8: 1,2,3 => UNS * INC # D4: 5 # B8: 6,7 => UNS * INC # D4: 5 # B8: 1,2,3,4 => UNS * INC # D4: 5 # I9: 6,7 => UNS * INC # D4: 5 # I9: 9 => UNS * INC # D4: 5 # F3: 5,9 => UNS * INC # D4: 5 # F3: 1,3,4,8 => UNS * INC # D4: 5 # E7: 3,4 => UNS * INC # D4: 5 # D8: 3,4 => UNS * INC # D4: 5 # C9: 3,4 => UNS * INC # D4: 5 # H9: 3,4 => UNS * INC # D4: 5 # D2: 3,4 => UNS * INC # D4: 5 # D3: 3,4 => UNS * INC # D4: 5 # E3: 5,9 => UNS * INC # D4: 5 # E3: 1,3,4 => UNS * INC # D4: 5 # I8: 7,9 => UNS * INC # D4: 5 # I9: 7,9 => UNS * INC # D4: 5 => UNS * INC # G4: 5 # E5: 1,2 => UNS * INC # G4: 5 # E6: 1,2 => UNS * INC # G4: 5 # C4: 1,2 => UNS * INC # G4: 5 # H4: 1,2 => UNS * INC # G4: 5 # D2: 1,2 => UNS * INC # G4: 5 # D3: 1,2 => UNS * INC # G4: 5 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for C4,C9: 8..:
* INC # C4: 8 # G5: 2,5 => UNS * INC # C4: 8 # I5: 2,5 => UNS * INC # C4: 8 # D4: 2,5 => UNS * INC # C4: 8 # D4: 1 => UNS * INC # C4: 8 # G3: 2,5 => UNS * INC # C4: 8 # G3: 3,4,7,8 => UNS * INC # C4: 8 # I5: 1,2 => UNS * INC # C4: 8 # I6: 1,2 => UNS * INC # C4: 8 # D4: 1,2 => UNS * INC # C4: 8 # D4: 5 => UNS * INC # C4: 8 # H1: 1,2 => UNS * INC # C4: 8 # H3: 1,2 => UNS * INC # C4: 8 # B7: 3,4 => UNS * INC # C4: 8 # B8: 3,4 => UNS * INC # C4: 8 # C8: 3,4 => UNS * INC # C4: 8 # B9: 3,4 => UNS * INC # C4: 8 # D9: 3,4 => UNS * INC # C4: 8 # E9: 3,4 => UNS * INC # C4: 8 # H9: 3,4 => UNS * INC # C4: 8 # C1: 3,4 => UNS * INC # C4: 8 # C2: 3,4 => UNS * INC # C4: 8 => UNS * INC # C9: 8 # B5: 1,2 => UNS * INC # C9: 8 # A6: 1,2 => UNS * INC # C9: 8 # B6: 1,2 => UNS * INC # C9: 8 # D4: 1,2 => UNS * INC # C9: 8 # H4: 1,2 => UNS * INC # C9: 8 # C1: 1,2 => UNS * INC # C9: 8 # C2: 1,2 => UNS * INC # C9: 8 # C8: 1,2 => UNS * INC # C9: 8 # G7: 3,4 => UNS * INC # C9: 8 # G8: 3,4 => UNS * INC # C9: 8 # H8: 3,4 => UNS * INC # C9: 8 # B9: 3,4 => UNS * INC # C9: 8 # D9: 3,4 => UNS * INC # C9: 8 # E9: 3,4 => UNS * INC # C9: 8 # H1: 3,4 => UNS * INC # C9: 8 # H3: 3,4 => UNS * INC # C9: 8 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for C4,A5: 8..:
* INC # C4: 8 # G5: 2,5 => UNS * INC # C4: 8 # I5: 2,5 => UNS * INC # C4: 8 # D4: 2,5 => UNS * INC # C4: 8 # D4: 1 => UNS * INC # C4: 8 # G3: 2,5 => UNS * INC # C4: 8 # G3: 3,4,7,8 => UNS * INC # C4: 8 # I5: 1,2 => UNS * INC # C4: 8 # I6: 1,2 => UNS * INC # C4: 8 # D4: 1,2 => UNS * INC # C4: 8 # D4: 5 => UNS * INC # C4: 8 # H1: 1,2 => UNS * INC # C4: 8 # H3: 1,2 => UNS * INC # C4: 8 # B7: 3,4 => UNS * INC # C4: 8 # B8: 3,4 => UNS * INC # C4: 8 # C8: 3,4 => UNS * INC # C4: 8 # B9: 3,4 => UNS * INC # C4: 8 # D9: 3,4 => UNS * INC # C4: 8 # E9: 3,4 => UNS * INC # C4: 8 # H9: 3,4 => UNS * INC # C4: 8 # C1: 3,4 => UNS * INC # C4: 8 # C2: 3,4 => UNS * INC # C4: 8 => UNS * INC # A5: 8 # B5: 1,2 => UNS * INC # A5: 8 # A6: 1,2 => UNS * INC # A5: 8 # B6: 1,2 => UNS * INC # A5: 8 # D4: 1,2 => UNS * INC # A5: 8 # H4: 1,2 => UNS * INC # A5: 8 # C1: 1,2 => UNS * INC # A5: 8 # C2: 1,2 => UNS * INC # A5: 8 # C8: 1,2 => UNS * INC # A5: 8 # G7: 3,4 => UNS * INC # A5: 8 # G8: 3,4 => UNS * INC # A5: 8 # H8: 3,4 => UNS * INC # A5: 8 # B9: 3,4 => UNS * INC # A5: 8 # D9: 3,4 => UNS * INC # A5: 8 # E9: 3,4 => UNS * INC # A5: 8 # H1: 3,4 => UNS * INC # A5: 8 # H3: 3,4 => UNS * INC # A5: 8 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for A8,A9: 5..:
* INC # A9: 5 # B8: 6,7 => UNS * INC # A9: 5 # B8: 1,2,3,4 => UNS * INC # A9: 5 # E7: 3,4 => UNS * INC # A9: 5 # F7: 3,4 => UNS * INC # A9: 5 # D8: 3,4 => UNS * INC # A9: 5 # F8: 3,4 => UNS * INC # A9: 5 # C9: 3,4 => UNS * INC # A9: 5 # H9: 3,4 => UNS * INC # A9: 5 # D2: 3,4 => UNS * INC # A9: 5 # D3: 3,4 => UNS * INC # A9: 5 # I8: 6,7 => UNS * INC # A9: 5 # I8: 2,4,9 => UNS * INC # A9: 5 => UNS * INC # A8: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for A6,B6: 6..:
* INC # A6: 6 # B8: 6,7 => UNS * INC # A6: 6 # B8: 1,2,3,4 => UNS * INC # A6: 6 # I8: 6,7 => UNS * INC # A6: 6 # I8: 2,4,9 => UNS * INC # A6: 6 => UNS * INC # B6: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G6,G8: 9..:
* INC # G6: 9 => UNS * INC # G8: 9 # G5: 2,4 => UNS * INC # G8: 9 # I5: 2,4 => UNS * INC # G8: 9 # E6: 2,4 => UNS * INC # G8: 9 # E6: 1,3 => UNS * INC # G8: 9 # G2: 2,4 => UNS * INC # G8: 9 # G3: 2,4 => UNS * INC # G8: 9 # G7: 2,4 => UNS * INC # G8: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for G6,I6: 9..:
* INC # G6: 9 => UNS * INC # I6: 9 # G5: 2,4 => UNS * INC # I6: 9 # I5: 2,4 => UNS * INC # I6: 9 # E6: 2,4 => UNS * INC # I6: 9 # E6: 1,3 => UNS * INC # I6: 9 # G2: 2,4 => UNS * INC # I6: 9 # G3: 2,4 => UNS * INC # I6: 9 # G7: 2,4 => UNS * INC # I6: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F7,F8: 7..:
* INC # F7: 7 # I8: 7,9 => UNS * INC # F7: 7 # I9: 7,9 => UNS * INC # F7: 7 => UNS * INC # F8: 7 # E5: 1,2 => UNS * INC # F8: 7 # E6: 1,2 => UNS * INC # F8: 7 # C4: 1,2 => UNS * INC # F8: 7 # H4: 1,2 => UNS * INC # F8: 7 # D2: 1,2 => UNS * INC # F8: 7 # D3: 1,2 => UNS * INC # F8: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B9,I9: 7..:
* INC # I9: 7 # G5: 2,4 => UNS * INC # I9: 7 # I5: 2,4 => UNS * INC # I9: 7 # E6: 2,4 => UNS * INC # I9: 7 # E6: 1,3 => UNS * INC # I9: 7 # G2: 2,4 => UNS * INC # I9: 7 # G7: 2,4 => UNS * INC # I9: 7 => UNS * INC # B9: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F3,F8: 9..:
* INC # F3: 9 => UNS * INC # F8: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E3,E9: 9..:
* INC # E3: 9 => UNS * INC # E9: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E9,I9: 9..:
* INC # E9: 9 => UNS * INC # I9: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F8,E9: 9..:
* INC # F8: 9 => UNS * INC # E9: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E3,F3: 9..:
* INC # E3: 9 => UNS * INC # F3: 9 => 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 G3,I3: 7..:
* INC # G3: 7 => UNS * INC # I3: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I8,I9: 6..:
* INC # I8: 6 => UNS * INC # I9: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D4,G4: 5..:
* INC # D4: 5 # H4: 2,8 => UNS * INC # D4: 5 # G5: 2,8 => UNS * INC # D4: 5 # I5: 2,8 => UNS * INC # D4: 5 # C4: 2,8 => UNS * INC # D4: 5 # C4: 1 => UNS * INC # D4: 5 # G2: 2,8 => UNS * INC # D4: 5 # G3: 2,8 => UNS * INC # D4: 5 # G7: 2,8 => UNS * INC # D4: 5 # A8: 5,6 => UNS * INC # D4: 5 # A8: 1,2,3 => UNS * INC # D4: 5 # B8: 6,7 => UNS * INC # D4: 5 # B8: 1,2,3,4 => UNS * INC # D4: 5 # I9: 6,7 => UNS * INC # D4: 5 # I9: 9 => UNS * INC # D4: 5 # F3: 5,9 => UNS * INC # D4: 5 # F3: 1,3,4,8 => UNS * INC # D4: 5 # E7: 3,4 => UNS * INC # D4: 5 # D8: 3,4 => UNS * INC # D4: 5 # C9: 3,4 => UNS * INC # D4: 5 # H9: 3,4 => UNS * INC # D4: 5 # D2: 3,4 => UNS * INC # D4: 5 # D3: 3,4 => UNS * INC # D4: 5 # E3: 5,9 => UNS * INC # D4: 5 # E3: 1,3,4 => UNS * INC # D4: 5 # I8: 7,9 => UNS * INC # D4: 5 # I9: 7,9 => UNS * INC # D4: 5 # H4: 2,8 # A6: 2,3 => UNS * DIS # D4: 5 # H4: 2,8 # B6: 2,3 => CTR => B6: 6 * INC # D4: 5 # H4: 2,8 + B6: 6 # E5: 2,3 => UNS * INC # D4: 5 # H4: 2,8 + B6: 6 # E5: 1,4 => UNS * INC # D4: 5 # H4: 2,8 + B6: 6 # B3: 2,3 => UNS * INC # D4: 5 # H4: 2,8 + B6: 6 # B7: 2,3 => UNS * INC # D4: 5 # H4: 2,8 + B6: 6 # B8: 2,3 => UNS * PRF # D4: 5 # H4: 2,8 + B6: 6 # G2: 2,8 => SOL * STA # D4: 5 # H4: 2,8 + B6: 6 + G2: 2,8 * CNT 34 HDP CHAINS / 36 HYP OPENED