Analysis of xx-ph-00256530-12_12_03-base.sdk
Original Sudoku
level: deep
position: .......12.....3..4..4.2.5....1.3..4..3.6.....7....8.....5.9..2..6.3..9..8..7..... initial
Autosolve
position: .......12.....3..4..4.2.5....1.3..4..3.6.....7....8.....5.9..2..6.3..9..8..7..... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.320545
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000026
List of important HDP chains detected for A5,B6: 4..:
* DIS # A5: 4 # F9: 1,6 => CTR => F9: 2,5 * CNT 1 HDP CHAINS / 68 HYP OPENED
List of important HDP chains detected for F8,F9: 2..:
* DIS # F8: 2 # D7: 1,4 => CTR => D7: 8 * PRF # F8: 2 + D7: 8 # F7: 1,4 => SOL * STA # F8: 2 + D7: 8 + F7: 1,4 * CNT 2 HDP CHAINS / 3 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..4..4.2.5....1.3..4..3.6.....7....8.....5.9..2..6.3..9..8..7..... | initial |
| .......12.....3..4..4.2.5....1.3..4..3.6.....7....8.....5.9..2..6.3..9..8..7..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C8: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,D6: 2.. / D4 = 2 => 1 pairs (_) / D6 = 2 => 3 pairs (_) F8,F9: 2.. / F8 = 2 => 5 pairs (_) / F9 = 2 => 2 pairs (_) A7,C9: 3.. / A7 = 3 => 2 pairs (_) / C9 = 3 => 3 pairs (_) C1,C9: 3.. / C1 = 3 => 2 pairs (_) / C9 = 3 => 3 pairs (_) A5,B6: 4.. / A5 = 4 => 5 pairs (_) / B6 = 4 => 3 pairs (_) G7,G9: 4.. / G7 = 4 => 5 pairs (_) / G9 = 4 => 1 pairs (_) A4,C6: 6.. / A4 = 6 => 2 pairs (_) / C6 = 6 => 1 pairs (_) B7,C8: 7.. / B7 = 7 => 4 pairs (_) / C8 = 7 => 2 pairs (_) B4,C5: 8.. / B4 = 8 => 2 pairs (_) / C5 = 8 => 1 pairs (_) D7,E8: 8.. / D7 = 8 => 2 pairs (_) / E8 = 8 => 3 pairs (_) B9,C9: 9.. / B9 = 9 => 2 pairs (_) / C9 = 9 => 3 pairs (_) * DURATION: 0:00:06.946676 START: 12:02:22.053849 END: 12:02:29.000525 2020-10-21 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A5,B6: 4.. / A5 = 4 ==> 6 pairs (_) / B6 = 4 ==> 3 pairs (_) F8,F9: 2.. / F8 = 2 ==> 0 pairs (*) / F9 = 2 => 0 pairs (X) * DURATION: 0:00:40.011490 START: 12:02:39.217760 END: 12:03:19.229250 2020-10-21 * REASONING A5,B6: 4.. * DIS # A5: 4 # F9: 1,6 => CTR => F9: 2,5 * CNT 1 HDP CHAINS / 68 HYP OPENED * REASONING F8,F9: 2.. * DIS # F8: 2 # D7: 1,4 => CTR => D7: 8 * PRF # F8: 2 + D7: 8 # F7: 1,4 => SOL * STA # F8: 2 + D7: 8 + F7: 1,4 * CNT 2 HDP CHAINS / 3 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
256530;12_12_03;dob;22;11.40;11.40;2.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # C2: 2,7 => UNS * INC # C2: 6,8,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 2,7 => UNS * INC # C2: 6,8,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 2,7 => UNS * INC # C2: 6,8,9 => UNS * INC # C2: 2,7 # B2: 2,7 => UNS * INC # C2: 2,7 # B2: 1,5,8,9 => UNS * INC # C2: 2,7 # B4: 8,9 => UNS * INC # C2: 2,7 # B4: 2,5 => UNS * INC # C2: 2,7 # H5: 8,9 => UNS * INC # C2: 2,7 # I5: 8,9 => UNS * INC # C2: 2,7 # C1: 8,9 => UNS * INC # C2: 2,7 # C1: 3,6 => UNS * INC # C2: 2,7 # A4: 6,9 => UNS * INC # C2: 2,7 # A4: 2,5 => UNS * INC # C2: 2,7 # H6: 6,9 => UNS * INC # C2: 2,7 # I6: 6,9 => UNS * INC # C2: 2,7 # C1: 6,9 => UNS * INC # C2: 2,7 # C1: 3,8 => UNS * INC # C2: 2,7 # C1: 3,9 => UNS * INC # C2: 2,7 # C1: 6,8 => UNS * INC # C2: 2,7 => UNS * INC # C2: 6,8,9 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A5,B6: 4..:
* INC # A5: 4 # G7: 1,3 => UNS * INC # A5: 4 # I7: 1,3 => UNS * INC # A5: 4 # A3: 1,3 => UNS * INC # A5: 4 # A3: 6,9 => UNS * INC # A5: 4 # B9: 1,2 => UNS * INC # A5: 4 # B9: 4,9 => UNS * INC # A5: 4 # F8: 1,2 => UNS * INC # A5: 4 # F8: 4,5 => UNS * INC # A5: 4 # A2: 1,2 => UNS * INC # A5: 4 # A2: 5,6,9 => UNS * INC # A5: 4 # C2: 2,7 => UNS * INC # A5: 4 # C2: 6,8,9 => UNS * INC # A5: 4 # E8: 1,8 => UNS * INC # A5: 4 # E8: 4,5 => UNS * INC # A5: 4 # G7: 1,8 => UNS * INC # A5: 4 # I7: 1,8 => UNS * INC # A5: 4 # D2: 1,8 => UNS * INC # A5: 4 # D3: 1,8 => UNS * INC # A5: 4 # E9: 1,6 => UNS * DIS # A5: 4 # F9: 1,6 => CTR => F9: 2,5 * INC # A5: 4 + F9: 2,5 # E9: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # E9: 5 => UNS * INC # A5: 4 + F9: 2,5 # G7: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # I7: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # F3: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # F3: 7,9 => UNS * INC # A5: 4 + F9: 2,5 # G7: 1,3 => UNS * INC # A5: 4 + F9: 2,5 # I7: 1,3 => UNS * INC # A5: 4 + F9: 2,5 # A3: 1,3 => UNS * INC # A5: 4 + F9: 2,5 # A3: 6,9 => UNS * INC # A5: 4 + F9: 2,5 # B9: 1,2 => UNS * INC # A5: 4 + F9: 2,5 # B9: 4,9 => UNS * INC # A5: 4 + F9: 2,5 # F8: 1,2 => UNS * INC # A5: 4 + F9: 2,5 # F8: 4,5 => UNS * INC # A5: 4 + F9: 2,5 # A2: 1,2 => UNS * INC # A5: 4 + F9: 2,5 # A2: 5,6,9 => UNS * INC # A5: 4 + F9: 2,5 # C2: 2,7 => UNS * INC # A5: 4 + F9: 2,5 # C2: 6,8,9 => UNS * INC # A5: 4 + F9: 2,5 # E8: 1,8 => UNS * INC # A5: 4 + F9: 2,5 # E8: 4,5 => UNS * INC # A5: 4 + F9: 2,5 # G7: 1,8 => UNS * INC # A5: 4 + F9: 2,5 # I7: 1,8 => UNS * INC # A5: 4 + F9: 2,5 # D2: 1,8 => UNS * INC # A5: 4 + F9: 2,5 # D3: 1,8 => UNS * INC # A5: 4 + F9: 2,5 # E9: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # E9: 5 => UNS * INC # A5: 4 + F9: 2,5 # G7: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # I7: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # F3: 1,6 => UNS * INC # A5: 4 + F9: 2,5 # F3: 7,9 => UNS * INC # A5: 4 + F9: 2,5 # F8: 2,5 => UNS * INC # A5: 4 + F9: 2,5 # F8: 1,4 => UNS * INC # A5: 4 + F9: 2,5 => UNS * INC # B6: 4 # E5: 1,5 => UNS * INC # B6: 4 # F5: 1,5 => UNS * INC # B6: 4 # D6: 1,5 => UNS * INC # B6: 4 # I6: 1,5 => UNS * INC # B6: 4 # I6: 3,6,9 => UNS * INC # B6: 4 # E2: 1,5 => UNS * INC # B6: 4 # E8: 1,5 => UNS * INC # B6: 4 # E9: 1,5 => UNS * INC # B6: 4 # G7: 1,7 => UNS * INC # B6: 4 # I7: 1,7 => UNS * INC # B6: 4 # B2: 1,7 => UNS * INC # B6: 4 # B3: 1,7 => UNS * INC # B6: 4 # C2: 2,7 => UNS * INC # B6: 4 # C2: 6,8,9 => UNS * INC # B6: 4 => UNS * CNT 68 HDP CHAINS / 68 HYP OPENED
Full list of HDP chains traversed for F8,F9: 2..:
* DIS # F8: 2 # D7: 1,4 => CTR => D7: 8 * PRF # F8: 2 + D7: 8 # F7: 1,4 => SOL * STA # F8: 2 + D7: 8 + F7: 1,4 * CNT 2 HDP CHAINS / 3 HYP OPENED