Analysis of xx-ph-01269992-13_12-base.sdk
Original Sudoku
level: deep
position: 98.76.5..7..5...8...5.....684.........987..6......32..1.......3..839..5.......8.. initial
Autosolve
position: 98.76.5..7..5...8...5.....684.........987..6......32.81.......3..839..5.......8.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.088030
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for C1,H1: 3..:
* DIS # C1: 3 # F3: 2,4 => CTR => F3: 1,8,9 * DIS # C1: 3 + F3: 1,8,9 # H3: 2,4 => CTR => H3: 1,3,7,9 * PRF # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # G3: 1,4 => SOL * STA # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 + G3: 1,4 * CNT 3 HDP CHAINS / 29 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
| 98.76.5..7..5...8...5.....684.........987..6......32..1.......3..839..5.......8.. | initial |
| 98.76.5..7..5...8...5.....684.........987..6......32.81.......3..839..5.......8.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A6: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E2,E3: 3.. / E2 = 3 => 1 pairs (_) / E3 = 3 => 3 pairs (_) C1,H1: 3.. / C1 = 3 => 6 pairs (_) / H1 = 3 => 1 pairs (_) I4,I5: 5.. / I4 = 5 => 3 pairs (_) / I5 = 5 => 3 pairs (_) B2,C2: 6.. / B2 = 6 => 2 pairs (_) / C2 = 6 => 2 pairs (_) G7,G8: 6.. / G7 = 6 => 2 pairs (_) / G8 = 6 => 3 pairs (_) G3,H3: 7.. / G3 = 7 => 1 pairs (_) / H3 = 7 => 1 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) E7,F7: 8.. / E7 = 8 => 1 pairs (_) / F7 = 8 => 1 pairs (_) E3,E7: 8.. / E3 = 8 => 1 pairs (_) / E7 = 8 => 1 pairs (_) F3,F7: 8.. / F3 = 8 => 1 pairs (_) / F7 = 8 => 1 pairs (_) B7,B9: 9.. / B7 = 9 => 3 pairs (_) / B9 = 9 => 1 pairs (_) D6,H6: 9.. / D6 = 9 => 1 pairs (_) / H6 = 9 => 1 pairs (_) * DURATION: 0:00:09.071741 START: 07:18:42.871305 END: 07:18:51.943046 2020-11-01 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,H1: 3.. / C1 = 3 ==> 0 pairs (*) / H1 = 3 => 0 pairs (X) * DURATION: 0:00:27.189483 START: 07:19:18.689318 END: 07:19:45.878801 2020-11-01 * REASONING C1,H1: 3.. * DIS # C1: 3 # F3: 2,4 => CTR => F3: 1,8,9 * DIS # C1: 3 + F3: 1,8,9 # H3: 2,4 => CTR => H3: 1,3,7,9 * PRF # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # G3: 1,4 => SOL * STA # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 + G3: 1,4 * CNT 3 HDP CHAINS / 29 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1269992;13_12;GP;25;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # B6: 5,6 => UNS * INC # B6: 1,7 => UNS * INC # A9: 5,6 => UNS * INC # A9: 2,3,4 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B6: 5,6 => UNS * INC # B6: 1,7 => UNS * INC # A9: 5,6 => UNS * INC # A9: 2,3,4 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B6: 5,6 => UNS * INC # B6: 1,7 => UNS * INC # A9: 5,6 => UNS * INC # A9: 2,3,4 => UNS * INC # B6: 5,6 # C4: 2,3 => UNS * INC # B6: 5,6 # B5: 2,3 => UNS * INC # B6: 5,6 # A3: 2,3 => UNS * INC # B6: 5,6 # A9: 2,3 => UNS * INC # B6: 5,6 # A9: 5,6 => UNS * INC # B6: 5,6 # A9: 2,3,4 => UNS * INC # B6: 5,6 # B7: 5,6 => UNS * INC # B6: 5,6 # B9: 5,6 => UNS * INC # B6: 5,6 # C4: 1,7 => UNS * INC # B6: 5,6 # C4: 2,3 => UNS * INC # B6: 5,6 # H6: 1,7 => UNS * INC # B6: 5,6 # H6: 4,9 => UNS * INC # B6: 5,6 # F5: 1,4 => UNS * INC # B6: 5,6 # D6: 1,4 => UNS * INC # B6: 5,6 # H6: 1,4 => UNS * INC # B6: 5,6 # H6: 7,9 => UNS * INC # B6: 5,6 # E2: 1,4 => UNS * INC # B6: 5,6 # E3: 1,4 => UNS * INC # B6: 5,6 # E9: 1,4 => UNS * INC # B6: 5,6 => UNS * INC # B6: 1,7 # A9: 5,6 => UNS * INC # B6: 1,7 # A9: 2,3,4 => UNS * INC # B6: 1,7 # C4: 1,7 => UNS * INC # B6: 1,7 # C6: 1,7 => UNS * INC # B6: 1,7 # H6: 1,7 => UNS * INC # B6: 1,7 # H6: 4,9 => UNS * INC # B6: 1,7 => UNS * INC # A9: 5,6 # C4: 2,3 => UNS * INC # A9: 5,6 # B5: 2,3 => UNS * INC # A9: 5,6 # A3: 2,3 => UNS * INC # A9: 5,6 # A3: 4 => UNS * INC # A9: 5,6 # B6: 5,6 => UNS * INC # A9: 5,6 # B6: 1,7 => UNS * INC # A9: 5,6 # C7: 2,4 => UNS * INC # A9: 5,6 # C9: 2,4 => UNS * INC # A9: 5,6 # F8: 2,4 => UNS * INC # A9: 5,6 # I8: 2,4 => UNS * INC # A9: 5,6 # A3: 2,4 => UNS * INC # A9: 5,6 # A3: 3 => UNS * INC # A9: 5,6 # B7: 5,6 => UNS * INC # A9: 5,6 # B9: 5,6 => UNS * INC # A9: 5,6 # F9: 5,6 => UNS * INC # A9: 5,6 # F9: 1,2,4,7 => UNS * INC # A9: 5,6 => UNS * INC # A9: 2,3,4 => UNS * CNT 49 HDP CHAINS / 49 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,H1: 3..:
* INC # C1: 3 # C2: 2,4 => UNS * INC # C1: 3 # C2: 1,6 => UNS * INC # C1: 3 # D3: 2,4 => UNS * INC # C1: 3 # E3: 2,4 => UNS * DIS # C1: 3 # F3: 2,4 => CTR => F3: 1,8,9 * DIS # C1: 3 + F3: 1,8,9 # H3: 2,4 => CTR => H3: 1,3,7,9 * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # A8: 2,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # A8: 6 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # C2: 2,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # C2: 1,6 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # D3: 2,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # E3: 2,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # A8: 2,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # A8: 6 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # B2: 1,2 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # C2: 1,2 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # D3: 1,2 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # E3: 1,2 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # B5: 1,2 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # B5: 3,5 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # B6: 5,6 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # B6: 1,7 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # I5: 1,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # H6: 1,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # F5: 1,4 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # F5: 2,5 => UNS * INC # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # G2: 1,4 => UNS * PRF # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 # G3: 1,4 => SOL * STA # C1: 3 + F3: 1,8,9 + H3: 1,3,7,9 + G3: 1,4 * CNT 28 HDP CHAINS / 29 HYP OPENED