Analysis of xx-ph-00666151-12_12_19-base.sdk
Contents
Original Sudoku
level: deep
position: .......12.....3.45..4.2.6....5.4..6..7....1..8..9..5....6.5...1.9...8...3..7..... initial
Autosolve
position: .......12.....3.45..4.2.6....5.4..6..7....1..8..9..5....6.5...1.9...8...3..7..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for A4,C5: 9..:
* DIS # C5: 9 # D4: 1,2 => CTR => D4: 3,8 * PRF # C5: 9 + D4: 3,8 # F4: 1,2 => SOL * STA # C5: 9 + D4: 3,8 + F4: 1,2 * CNT 2 HDP CHAINS / 10 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| .......12.....3.45..4.2.6....5.4..6..7....1..8..9..5....6.5...1.9...8...3..7..... | initial |
| .......12.....3.45..4.2.6....5.4..6..7....1..8..9..5....6.5...1.9...8...3..7..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) A5: 4,6 B6: 4,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D1,F1: 4.. / D1 = 4 => 3 pairs (_) / F1 = 4 => 3 pairs (_) A5,B6: 4.. / A5 = 4 => 1 pairs (_) / B6 = 4 => 4 pairs (_) I5,I6: 4.. / I5 = 4 => 4 pairs (_) / I6 = 4 => 1 pairs (_) A5,I5: 4.. / A5 = 4 => 1 pairs (_) / I5 = 4 => 4 pairs (_) B6,I6: 4.. / B6 = 4 => 4 pairs (_) / I6 = 4 => 1 pairs (_) D5,F5: 5.. / D5 = 5 => 4 pairs (_) / F5 = 5 => 2 pairs (_) A8,B9: 5.. / A8 = 5 => 2 pairs (_) / B9 = 5 => 2 pairs (_) H8,H9: 5.. / H8 = 5 => 2 pairs (_) / H9 = 5 => 2 pairs (_) A8,H8: 5.. / A8 = 5 => 2 pairs (_) / H8 = 5 => 2 pairs (_) B9,H9: 5.. / B9 = 5 => 2 pairs (_) / H9 = 5 => 2 pairs (_) A5,B6: 6.. / A5 = 6 => 4 pairs (_) / B6 = 6 => 1 pairs (_) I8,I9: 6.. / I8 = 6 => 4 pairs (_) / I9 = 6 => 4 pairs (_) A4,C5: 9.. / A4 = 9 => 3 pairs (_) / C5 = 9 => 3 pairs (_) * DURATION: 0:00:10.063365 START: 20:43:44.243709 END: 20:43:54.307074 2020-12-28 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I8,I9: 6.. / I8 = 6 ==> 4 pairs (_) / I9 = 6 ==> 4 pairs (_) D5,F5: 5.. / D5 = 5 ==> 4 pairs (_) / F5 = 5 ==> 2 pairs (_) A5,B6: 6.. / A5 = 6 ==> 4 pairs (_) / B6 = 6 ==> 1 pairs (_) B6,I6: 4.. / B6 = 4 ==> 4 pairs (_) / I6 = 4 ==> 1 pairs (_) A5,I5: 4.. / A5 = 4 ==> 1 pairs (_) / I5 = 4 ==> 4 pairs (_) I5,I6: 4.. / I5 = 4 ==> 4 pairs (_) / I6 = 4 ==> 1 pairs (_) A5,B6: 4.. / A5 = 4 ==> 1 pairs (_) / B6 = 4 ==> 4 pairs (_) A4,C5: 9.. / A4 = 9 ==> 3 pairs (_) / C5 = 9 ==> 0 pairs (*) * DURATION: 0:01:44.716000 START: 20:43:55.115112 END: 20:45:39.831112 2020-12-28 * REASONING A4,C5: 9.. * DIS # C5: 9 # D4: 1,2 => CTR => D4: 3,8 * PRF # C5: 9 + D4: 3,8 # F4: 1,2 => SOL * STA # C5: 9 + D4: 3,8 + F4: 1,2 * CNT 2 HDP CHAINS / 10 HYP OPENED * DCP COUNT: (8) * SOLUTION FOUND
Header Info
666151;12_12_19;dob;23;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I8,I9: 6..:
* INC # I8: 6 # D8: 1,3 => UNS * INC # I8: 6 # D8: 2,4 => UNS * INC # I8: 6 # E6: 1,3 => UNS * INC # I8: 6 # E6: 6,7 => UNS * INC # I8: 6 # G7: 8,9 => UNS * INC # I8: 6 # H7: 8,9 => UNS * INC # I8: 6 # G9: 8,9 => UNS * INC # I8: 6 # H9: 8,9 => UNS * INC # I8: 6 # I3: 8,9 => UNS * INC # I8: 6 # I4: 8,9 => UNS * INC # I8: 6 # I5: 8,9 => UNS * INC # I8: 6 => UNS * INC # I9: 6 # F9: 1,9 => UNS * INC # I9: 6 # F9: 2,4 => UNS * INC # I9: 6 # E2: 1,9 => UNS * INC # I9: 6 # E2: 6,7,8 => UNS * INC # I9: 6 # G7: 3,7 => UNS * INC # I9: 6 # H7: 3,7 => UNS * INC # I9: 6 # G8: 3,7 => UNS * INC # I9: 6 # H8: 3,7 => UNS * INC # I9: 6 # I3: 3,7 => UNS * INC # I9: 6 # I4: 3,7 => UNS * INC # I9: 6 # I6: 3,7 => UNS * INC # I9: 6 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for D5,F5: 5..:
* INC # D5: 5 # D2: 1,8 => UNS * INC # D5: 5 # E2: 1,8 => UNS * INC # D5: 5 # B3: 1,8 => UNS * INC # D5: 5 # B3: 3,5 => UNS * INC # D5: 5 # D4: 1,8 => UNS * INC # D5: 5 # D4: 2,3 => UNS * INC # D5: 5 # F6: 2,6 => UNS * INC # D5: 5 # F6: 1,7 => UNS * INC # D5: 5 # F9: 2,6 => UNS * INC # D5: 5 # F9: 1,4,9 => UNS * INC # D5: 5 => UNS * INC # F5: 5 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A5,B6: 6..:
* INC # A5: 6 # D4: 3,8 => UNS * INC # A5: 6 # D5: 3,8 => UNS * INC # A5: 6 # H5: 3,8 => UNS * INC # A5: 6 # H5: 2,9 => UNS * INC # A5: 6 # D5: 2,5 => UNS * INC # A5: 6 # D5: 3,8 => UNS * INC # A5: 6 # G4: 3,7 => UNS * INC # A5: 6 # I4: 3,7 => UNS * INC # A5: 6 # H6: 3,7 => UNS * INC # A5: 6 # E6: 3,7 => UNS * INC # A5: 6 # E6: 1,6 => UNS * INC # A5: 6 # I3: 3,7 => UNS * INC # A5: 6 # I8: 3,7 => UNS * INC # A5: 6 # B9: 2,8 => UNS * INC # A5: 6 # C9: 2,8 => UNS * INC # A5: 6 # G7: 2,8 => UNS * INC # A5: 6 # H7: 2,8 => UNS * INC # A5: 6 # B2: 2,8 => UNS * INC # A5: 6 # B2: 1,6 => UNS * INC # A5: 6 => UNS * INC # B6: 6 # A8: 2,7 => UNS * INC # B6: 6 # C8: 2,7 => UNS * INC # B6: 6 # G7: 2,7 => UNS * INC # B6: 6 # H7: 2,7 => UNS * INC # B6: 6 # A2: 2,7 => UNS * INC # B6: 6 # A2: 1,6,9 => UNS * INC # B6: 6 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for B6,I6: 4..:
* INC # B6: 4 # D4: 3,8 => UNS * INC # B6: 4 # D5: 3,8 => UNS * INC # B6: 4 # H5: 3,8 => UNS * INC # B6: 4 # H5: 2,9 => UNS * INC # B6: 4 # D5: 2,5 => UNS * INC # B6: 4 # D5: 3,8 => UNS * INC # B6: 4 # G4: 3,7 => UNS * INC # B6: 4 # I4: 3,7 => UNS * INC # B6: 4 # H6: 3,7 => UNS * INC # B6: 4 # E6: 3,7 => UNS * INC # B6: 4 # E6: 1,6 => UNS * INC # B6: 4 # I3: 3,7 => UNS * INC # B6: 4 # I8: 3,7 => UNS * INC # B6: 4 # B9: 2,8 => UNS * INC # B6: 4 # C9: 2,8 => UNS * INC # B6: 4 # G7: 2,8 => UNS * INC # B6: 4 # H7: 2,8 => UNS * INC # B6: 4 # B2: 2,8 => UNS * INC # B6: 4 # B2: 1,6 => UNS * INC # B6: 4 => UNS * INC # I6: 4 # A8: 2,7 => UNS * INC # I6: 4 # C8: 2,7 => UNS * INC # I6: 4 # G7: 2,7 => UNS * INC # I6: 4 # H7: 2,7 => UNS * INC # I6: 4 # A2: 2,7 => UNS * INC # I6: 4 # A2: 1,6,9 => UNS * INC # I6: 4 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for A5,I5: 4..:
* INC # I5: 4 # D4: 3,8 => UNS * INC # I5: 4 # D5: 3,8 => UNS * INC # I5: 4 # H5: 3,8 => UNS * INC # I5: 4 # H5: 2,9 => UNS * INC # I5: 4 # D5: 2,5 => UNS * INC # I5: 4 # D5: 3,8 => UNS * INC # I5: 4 # G4: 3,7 => UNS * INC # I5: 4 # I4: 3,7 => UNS * INC # I5: 4 # H6: 3,7 => UNS * INC # I5: 4 # E6: 3,7 => UNS * INC # I5: 4 # E6: 1,6 => UNS * INC # I5: 4 # I3: 3,7 => UNS * INC # I5: 4 # I8: 3,7 => UNS * INC # I5: 4 # B9: 2,8 => UNS * INC # I5: 4 # C9: 2,8 => UNS * INC # I5: 4 # G7: 2,8 => UNS * INC # I5: 4 # H7: 2,8 => UNS * INC # I5: 4 # B2: 2,8 => UNS * INC # I5: 4 # B2: 1,6 => UNS * INC # I5: 4 => UNS * INC # A5: 4 # A8: 2,7 => UNS * INC # A5: 4 # C8: 2,7 => UNS * INC # A5: 4 # G7: 2,7 => UNS * INC # A5: 4 # H7: 2,7 => UNS * INC # A5: 4 # A2: 2,7 => UNS * INC # A5: 4 # A2: 1,6,9 => UNS * INC # A5: 4 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for I5,I6: 4..:
* INC # I5: 4 # D4: 3,8 => UNS * INC # I5: 4 # D5: 3,8 => UNS * INC # I5: 4 # H5: 3,8 => UNS * INC # I5: 4 # H5: 2,9 => UNS * INC # I5: 4 # D5: 2,5 => UNS * INC # I5: 4 # D5: 3,8 => UNS * INC # I5: 4 # G4: 3,7 => UNS * INC # I5: 4 # I4: 3,7 => UNS * INC # I5: 4 # H6: 3,7 => UNS * INC # I5: 4 # E6: 3,7 => UNS * INC # I5: 4 # E6: 1,6 => UNS * INC # I5: 4 # I3: 3,7 => UNS * INC # I5: 4 # I8: 3,7 => UNS * INC # I5: 4 # B9: 2,8 => UNS * INC # I5: 4 # C9: 2,8 => UNS * INC # I5: 4 # G7: 2,8 => UNS * INC # I5: 4 # H7: 2,8 => UNS * INC # I5: 4 # B2: 2,8 => UNS * INC # I5: 4 # B2: 1,6 => UNS * INC # I5: 4 => UNS * INC # I6: 4 # A8: 2,7 => UNS * INC # I6: 4 # C8: 2,7 => UNS * INC # I6: 4 # G7: 2,7 => UNS * INC # I6: 4 # H7: 2,7 => UNS * INC # I6: 4 # A2: 2,7 => UNS * INC # I6: 4 # A2: 1,6,9 => UNS * INC # I6: 4 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for A5,B6: 4..:
* INC # B6: 4 # D4: 3,8 => UNS * INC # B6: 4 # D5: 3,8 => UNS * INC # B6: 4 # H5: 3,8 => UNS * INC # B6: 4 # H5: 2,9 => UNS * INC # B6: 4 # D5: 2,5 => UNS * INC # B6: 4 # D5: 3,8 => UNS * INC # B6: 4 # G4: 3,7 => UNS * INC # B6: 4 # I4: 3,7 => UNS * INC # B6: 4 # H6: 3,7 => UNS * INC # B6: 4 # E6: 3,7 => UNS * INC # B6: 4 # E6: 1,6 => UNS * INC # B6: 4 # I3: 3,7 => UNS * INC # B6: 4 # I8: 3,7 => UNS * INC # B6: 4 # B9: 2,8 => UNS * INC # B6: 4 # C9: 2,8 => UNS * INC # B6: 4 # G7: 2,8 => UNS * INC # B6: 4 # H7: 2,8 => UNS * INC # B6: 4 # B2: 2,8 => UNS * INC # B6: 4 # B2: 1,6 => UNS * INC # B6: 4 => UNS * INC # A5: 4 # A8: 2,7 => UNS * INC # A5: 4 # C8: 2,7 => UNS * INC # A5: 4 # G7: 2,7 => UNS * INC # A5: 4 # H7: 2,7 => UNS * INC # A5: 4 # A2: 2,7 => UNS * INC # A5: 4 # A2: 1,6,9 => UNS * INC # A5: 4 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for A4,C5: 9..:
* INC # A4: 9 # B4: 2,3 => UNS * INC # A4: 9 # C6: 2,3 => UNS * INC # A4: 9 # D5: 2,3 => UNS * INC # A4: 9 # H5: 2,3 => UNS * INC # A4: 9 => UNS * INC # C5: 9 # B4: 1,2 => UNS * INC # C5: 9 # C6: 1,2 => UNS * DIS # C5: 9 # D4: 1,2 => CTR => D4: 3,8 * PRF # C5: 9 + D4: 3,8 # F4: 1,2 => SOL * STA # C5: 9 + D4: 3,8 + F4: 1,2 * CNT 9 HDP CHAINS / 10 HYP OPENED