Analysis of xx-ph-00748737-12_12_19-base.sdk
Original Sudoku
level: very deep
position: .......12.....3..4..4.2.5....5.6...1.7....6..8..9....5..6.4..5..9...8...3..7..... initial
Autosolve
position: .......12.....3..4..4.2.5....5.6...1.7....6..86.9....5..6.4..5..9...8...3..7..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for A7,C8: 7..:
* DIS # A7: 7 # C2: 1,2 => CTR => C2: 7,8,9 * CNT 1 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:34.571259
List of important HDP chains detected for B7,C9: 8..:
* DIS # B7: 8 # C8: 1,2 # E1: 5,9 => CTR => E1: 7,8 * DIS # B7: 8 # C8: 1,2 + E1: 7,8 # E2: 7,8 => CTR => E2: 5,9 * DIS # B7: 8 # C8: 1,2 + E1: 7,8 + E2: 5,9 => CTR => C8: 7 * DIS # B7: 8 + C8: 7 # F9: 1,2 # D2: 1,8 => CTR => D2: 5 * DIS # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 7,9 => CTR => E2: 1,8 * PRF # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 # D5: 1,8 => SOL * STA # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 + D5: 1,8 * CNT 6 HDP CHAINS / 48 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
| .......12.....3..4..4.2.5....5.6...1.7....6..8..9....5..6.4..5..9...8...3..7..... | initial |
| .......12.....3..4..4.2.5....5.6...1.7....6..86.9....5..6.4..5..9...8...3..7..... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) A8: 4,5 B9: 4,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D1,F1: 4.. / D1 = 4 => 2 pairs (_) / F1 = 4 => 3 pairs (_) A8,B9: 4.. / A8 = 4 => 4 pairs (_) / B9 = 4 => 2 pairs (_) B4,B9: 4.. / B4 = 4 => 4 pairs (_) / B9 = 4 => 2 pairs (_) A8,B9: 5.. / A8 = 5 => 2 pairs (_) / B9 = 5 => 4 pairs (_) D8,F9: 6.. / D8 = 6 => 4 pairs (_) / F9 = 6 => 3 pairs (_) A7,C8: 7.. / A7 = 7 => 3 pairs (_) / C8 = 7 => 4 pairs (_) B7,C9: 8.. / B7 = 8 => 5 pairs (_) / C9 = 8 => 4 pairs (_) * DURATION: 0:00:04.665968 START: 11:06:36.687866 END: 11:06:41.353834 2020-12-31 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B7,C9: 8.. / B7 = 8 ==> 5 pairs (_) / C9 = 8 ==> 4 pairs (_) A7,C8: 7.. / A7 = 7 ==> 3 pairs (_) / C8 = 7 ==> 4 pairs (_) D8,F9: 6.. / D8 = 6 ==> 4 pairs (_) / F9 = 6 ==> 3 pairs (_) A8,B9: 5.. / A8 = 5 ==> 2 pairs (_) / B9 = 5 ==> 4 pairs (_) B4,B9: 4.. / B4 = 4 ==> 4 pairs (_) / B9 = 4 ==> 2 pairs (_) A8,B9: 4.. / A8 = 4 ==> 4 pairs (_) / B9 = 4 ==> 2 pairs (_) D1,F1: 4.. / D1 = 4 ==> 2 pairs (_) / F1 = 4 ==> 3 pairs (_) * DURATION: 0:01:21.769197 START: 11:06:42.058396 END: 11:08:03.827593 2020-12-31 * REASONING A7,C8: 7.. * DIS # A7: 7 # C2: 1,2 => CTR => C2: 7,8,9 * CNT 1 HDP CHAINS / 34 HYP OPENED * DCP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B7,C9: 8.. / B7 = 8 ==> 0 pairs (*) / C9 = 8 => 0 pairs (X) * DURATION: 0:00:34.568001 START: 11:08:03.923760 END: 11:08:38.491761 2020-12-31 * REASONING B7,C9: 8.. * DIS # B7: 8 # C8: 1,2 # E1: 5,9 => CTR => E1: 7,8 * DIS # B7: 8 # C8: 1,2 + E1: 7,8 # E2: 7,8 => CTR => E2: 5,9 * DIS # B7: 8 # C8: 1,2 + E1: 7,8 + E2: 5,9 => CTR => C8: 7 * DIS # B7: 8 + C8: 7 # F9: 1,2 # D2: 1,8 => CTR => D2: 5 * DIS # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 7,9 => CTR => E2: 1,8 * PRF # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 # D5: 1,8 => SOL * STA # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 + D5: 1,8 * CNT 6 HDP CHAINS / 48 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
748737;12_12_19;dob;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,C9: 8..:
* INC # B7: 8 # A7: 1,2 => UNS * INC # B7: 8 # C8: 1,2 => UNS * INC # B7: 8 # F9: 1,2 => UNS * INC # B7: 8 # G9: 1,2 => UNS * INC # B7: 8 # C5: 1,2 => UNS * INC # B7: 8 # C6: 1,2 => UNS * INC # B7: 8 => UNS * INC # C9: 8 # A7: 1,2 => UNS * INC # C9: 8 # C8: 1,2 => UNS * INC # C9: 8 # D7: 1,2 => UNS * INC # C9: 8 # F7: 1,2 => UNS * INC # C9: 8 # G7: 1,2 => UNS * INC # C9: 8 # B2: 1,2 => UNS * INC # C9: 8 # B2: 5,8 => UNS * INC # C9: 8 # H9: 6,9 => UNS * INC # C9: 8 # H9: 2,4 => UNS * INC # C9: 8 # F9: 6,9 => UNS * INC # C9: 8 # F9: 1,2,5 => UNS * INC # C9: 8 # I3: 6,9 => UNS * INC # C9: 8 # I3: 3,7,8 => UNS * INC # C9: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for A7,C8: 7..:
* INC # C8: 7 # B7: 1,2 => UNS * INC # C8: 7 # C9: 1,2 => UNS * INC # C8: 7 # D7: 1,2 => UNS * INC # C8: 7 # F7: 1,2 => UNS * INC # C8: 7 # G7: 1,2 => UNS * INC # C8: 7 # A2: 1,2 => UNS * INC # C8: 7 # A5: 1,2 => UNS * INC # C8: 7 # H8: 3,6 => UNS * INC # C8: 7 # H8: 2,4 => UNS * INC # C8: 7 # D8: 3,6 => UNS * INC # C8: 7 # D8: 1,2,5 => UNS * INC # C8: 7 # I3: 3,6 => UNS * INC # C8: 7 # I3: 7,8,9 => UNS * INC # C8: 7 => UNS * INC # A7: 7 # B7: 1,2 => UNS * INC # A7: 7 # C9: 1,2 => UNS * INC # A7: 7 # D8: 1,2 => UNS * INC # A7: 7 # G8: 1,2 => UNS * DIS # A7: 7 # C2: 1,2 => CTR => C2: 7,8,9 * INC # A7: 7 + C2: 7,8,9 # C5: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C6: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # B7: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C9: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # D8: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # G8: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C5: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C6: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # B7: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C9: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # D8: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # G8: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C5: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 # C6: 1,2 => UNS * INC # A7: 7 + C2: 7,8,9 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for D8,F9: 6..:
* INC # D8: 6 # D2: 1,8 => UNS * INC # D8: 6 # E2: 1,8 => UNS * INC # D8: 6 # B3: 1,8 => UNS * INC # D8: 6 # B3: 3 => UNS * INC # D8: 6 # D5: 1,8 => UNS * INC # D8: 6 # D5: 2,3,4,5 => UNS * INC # D8: 6 # G7: 3,7 => UNS * INC # D8: 6 # I7: 3,7 => UNS * INC # D8: 6 # G8: 3,7 => UNS * INC # D8: 6 # H8: 3,7 => UNS * INC # D8: 6 # I3: 3,7 => UNS * INC # D8: 6 # I3: 6,8,9 => UNS * INC # D8: 6 => UNS * INC # F9: 6 # G7: 8,9 => UNS * INC # F9: 6 # I7: 8,9 => UNS * INC # F9: 6 # G9: 8,9 => UNS * INC # F9: 6 # H9: 8,9 => UNS * INC # F9: 6 # I3: 8,9 => UNS * INC # F9: 6 # I5: 8,9 => UNS * INC # F9: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for A8,B9: 5..:
* INC # B9: 5 # B3: 3,8 => UNS * INC # B9: 5 # B3: 1 => UNS * INC # B9: 5 # G1: 3,8 => UNS * INC # B9: 5 # G1: 7,9 => UNS * INC # B9: 5 # A5: 2,9 => UNS * INC # B9: 5 # C5: 2,9 => UNS * INC # B9: 5 # G4: 2,9 => UNS * INC # B9: 5 # H4: 2,9 => UNS * INC # B9: 5 # A2: 2,9 => UNS * INC # B9: 5 # A2: 1,5,6,7 => UNS * INC # B9: 5 # F6: 2,7 => UNS * INC # B9: 5 # F6: 1,4 => UNS * INC # B9: 5 # G4: 2,7 => UNS * INC # B9: 5 # H4: 2,7 => UNS * INC # B9: 5 # F7: 1,9 => UNS * INC # B9: 5 # F9: 1,9 => UNS * INC # B9: 5 # G9: 1,9 => UNS * INC # B9: 5 # G9: 2,4,8 => UNS * INC # B9: 5 # E2: 1,9 => UNS * INC # B9: 5 # E2: 5,7,8 => UNS * INC # B9: 5 => UNS * INC # A8: 5 # C5: 2,3 => UNS * INC # A8: 5 # C6: 2,3 => UNS * INC # A8: 5 # D4: 2,3 => UNS * INC # A8: 5 # G4: 2,3 => UNS * INC # A8: 5 # H4: 2,3 => UNS * INC # A8: 5 # D7: 1,3 => UNS * INC # A8: 5 # D8: 1,3 => UNS * INC # A8: 5 # G8: 1,3 => UNS * INC # A8: 5 # G8: 2,4,7 => UNS * INC # A8: 5 # E5: 1,3 => UNS * INC # A8: 5 # E6: 1,3 => UNS * INC # A8: 5 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for B4,B9: 4..:
* INC # B4: 4 # B3: 3,8 => UNS * INC # B4: 4 # B3: 1 => UNS * INC # B4: 4 # G1: 3,8 => UNS * INC # B4: 4 # G1: 7,9 => UNS * INC # B4: 4 # A5: 2,9 => UNS * INC # B4: 4 # C5: 2,9 => UNS * INC # B4: 4 # G4: 2,9 => UNS * INC # B4: 4 # H4: 2,9 => UNS * INC # B4: 4 # A2: 2,9 => UNS * INC # B4: 4 # A2: 1,5,6,7 => UNS * INC # B4: 4 # F6: 2,7 => UNS * INC # B4: 4 # F6: 1,4 => UNS * INC # B4: 4 # G4: 2,7 => UNS * INC # B4: 4 # H4: 2,7 => UNS * INC # B4: 4 # F7: 1,9 => UNS * INC # B4: 4 # F9: 1,9 => UNS * INC # B4: 4 # G9: 1,9 => UNS * INC # B4: 4 # G9: 2,4,8 => UNS * INC # B4: 4 # E2: 1,9 => UNS * INC # B4: 4 # E2: 5,7,8 => UNS * INC # B4: 4 => UNS * INC # B9: 4 # C5: 2,3 => UNS * INC # B9: 4 # C6: 2,3 => UNS * INC # B9: 4 # D4: 2,3 => UNS * INC # B9: 4 # G4: 2,3 => UNS * INC # B9: 4 # H4: 2,3 => UNS * INC # B9: 4 # D7: 1,3 => UNS * INC # B9: 4 # D8: 1,3 => UNS * INC # B9: 4 # G8: 1,3 => UNS * INC # B9: 4 # G8: 2,4,7 => UNS * INC # B9: 4 # E5: 1,3 => UNS * INC # B9: 4 # E6: 1,3 => UNS * INC # B9: 4 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for A8,B9: 4..:
* INC # A8: 4 # B3: 3,8 => UNS * INC # A8: 4 # B3: 1 => UNS * INC # A8: 4 # G1: 3,8 => UNS * INC # A8: 4 # G1: 7,9 => UNS * INC # A8: 4 # A5: 2,9 => UNS * INC # A8: 4 # C5: 2,9 => UNS * INC # A8: 4 # G4: 2,9 => UNS * INC # A8: 4 # H4: 2,9 => UNS * INC # A8: 4 # A2: 2,9 => UNS * INC # A8: 4 # A2: 1,5,6,7 => UNS * INC # A8: 4 # F6: 2,7 => UNS * INC # A8: 4 # F6: 1,4 => UNS * INC # A8: 4 # G4: 2,7 => UNS * INC # A8: 4 # H4: 2,7 => UNS * INC # A8: 4 # F7: 1,9 => UNS * INC # A8: 4 # F9: 1,9 => UNS * INC # A8: 4 # G9: 1,9 => UNS * INC # A8: 4 # G9: 2,4,8 => UNS * INC # A8: 4 # E2: 1,9 => UNS * INC # A8: 4 # E2: 5,7,8 => UNS * INC # A8: 4 => UNS * INC # B9: 4 # C5: 2,3 => UNS * INC # B9: 4 # C6: 2,3 => UNS * INC # B9: 4 # D4: 2,3 => UNS * INC # B9: 4 # G4: 2,3 => UNS * INC # B9: 4 # H4: 2,3 => UNS * INC # B9: 4 # D7: 1,3 => UNS * INC # B9: 4 # D8: 1,3 => UNS * INC # B9: 4 # G8: 1,3 => UNS * INC # B9: 4 # G8: 2,4,7 => UNS * INC # B9: 4 # E5: 1,3 => UNS * INC # B9: 4 # E6: 1,3 => UNS * INC # B9: 4 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for D1,F1: 4..:
* INC # F1: 4 # F6: 2,7 => UNS * INC # F1: 4 # F6: 1 => UNS * INC # F1: 4 # G4: 2,7 => UNS * INC # F1: 4 # H4: 2,7 => UNS * INC # F1: 4 => UNS * INC # D1: 4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,C9: 8..:
* INC # B7: 8 # A7: 1,2 => UNS * INC # B7: 8 # C8: 1,2 => UNS * INC # B7: 8 # F9: 1,2 => UNS * INC # B7: 8 # G9: 1,2 => UNS * INC # B7: 8 # C5: 1,2 => UNS * INC # B7: 8 # C6: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # D7: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # F7: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # G7: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # A5: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # A5: 4,9 => UNS * INC # B7: 8 # A7: 1,2 # F9: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # G9: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # C5: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # C6: 1,2 => UNS * INC # B7: 8 # A7: 1,2 # H8: 3,6 => UNS * INC # B7: 8 # A7: 1,2 # H8: 2,4 => UNS * INC # B7: 8 # A7: 1,2 # D8: 3,6 => UNS * INC # B7: 8 # A7: 1,2 # D8: 1,2,5 => UNS * INC # B7: 8 # A7: 1,2 # I3: 3,6 => UNS * INC # B7: 8 # A7: 1,2 # I3: 7,8,9 => UNS * INC # B7: 8 # A7: 1,2 => UNS * INC # B7: 8 # C8: 1,2 # E1: 7,8 => UNS * DIS # B7: 8 # C8: 1,2 # E1: 5,9 => CTR => E1: 7,8 * DIS # B7: 8 # C8: 1,2 + E1: 7,8 # E2: 7,8 => CTR => E2: 5,9 * DIS # B7: 8 # C8: 1,2 + E1: 7,8 + E2: 5,9 => CTR => C8: 7 * INC # B7: 8 + C8: 7 # D7: 1,2 => UNS * INC # B7: 8 + C8: 7 # F7: 1,2 => UNS * INC # B7: 8 + C8: 7 # G7: 1,2 => UNS * INC # B7: 8 + C8: 7 # A5: 1,2 => UNS * INC # B7: 8 + C8: 7 # A5: 4,9 => UNS * INC # B7: 8 + C8: 7 # F9: 1,2 => UNS * INC # B7: 8 + C8: 7 # G9: 1,2 => UNS * INC # B7: 8 + C8: 7 # C5: 1,2 => UNS * INC # B7: 8 + C8: 7 # C6: 1,2 => UNS * INC # B7: 8 + C8: 7 # H8: 3,6 => UNS * INC # B7: 8 + C8: 7 # H8: 2,4 => UNS * INC # B7: 8 + C8: 7 # D8: 3,6 => UNS * INC # B7: 8 + C8: 7 # D8: 1,2,5 => UNS * INC # B7: 8 + C8: 7 # I3: 3,6 => UNS * INC # B7: 8 + C8: 7 # I3: 7,8,9 => UNS * DIS # B7: 8 + C8: 7 # F9: 1,2 # D2: 1,8 => CTR => D2: 5 * INC # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 1,8 => UNS * INC # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 1,8 => UNS * DIS # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 # E2: 7,9 => CTR => E2: 1,8 * PRF # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 # D5: 1,8 => SOL * STA # B7: 8 + C8: 7 # F9: 1,2 + D2: 5 + E2: 1,8 + D5: 1,8 * CNT 46 HDP CHAINS / 48 HYP OPENED