Analysis of xx-ph-01269989-13_12-base.sdk
Original Sudoku
level: deep
position: 98.76.5..7..5...8...5.....64.......3..839..5.......8...2.........987..6......31.8 initial
Autosolve
position: 98.76.5..7..5...8...5.....64.......3..839..5.......8..82.........987..6......31.8 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:22.774644
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: 1,2 => CTR => F3: 4,8,9 * DIS # C1: 3 + F3: 4,8,9 # H3: 1,2 => CTR => H3: 3,4,7,9 * PRF # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G3: 2,4 => SOL * STA # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 + G3: 2,4 * CNT 3 HDP CHAINS / 35 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.....64.......3..839..5.......8...2.........987..6......31.8 | initial |
| 98.76.5..7..5...8...5.....64.......3..839..5.......8..82.........987..6......31.8 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A9: 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 (_) I7,I8: 5.. / I7 = 5 => 3 pairs (_) / I8 = 5 => 3 pairs (_) B2,C2: 6.. / B2 = 6 => 2 pairs (_) / C2 = 6 => 2 pairs (_) G4,G5: 6.. / G4 = 6 => 2 pairs (_) / G5 = 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 (_) E4,F4: 8.. / E4 = 8 => 1 pairs (_) / F4 = 8 => 1 pairs (_) E3,E4: 8.. / E3 = 8 => 1 pairs (_) / E4 = 8 => 1 pairs (_) F3,F4: 8.. / F3 = 8 => 1 pairs (_) / F4 = 8 => 1 pairs (_) B4,B6: 9.. / B4 = 9 => 3 pairs (_) / B6 = 9 => 1 pairs (_) D9,H9: 9.. / D9 = 9 => 1 pairs (_) / H9 = 9 => 1 pairs (_) * DURATION: 0:00:08.103267 START: 07:12:30.190253 END: 07:12:38.293520 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: 0:00:30.242510 START: 07:13:04.420380 END: 07:13:34.662890 2020-11-01 * REASONING C1,H1: 3.. * DIS # C1: 3 # F3: 1,2 => CTR => F3: 4,8,9 * DIS # C1: 3 + F3: 4,8,9 # H3: 1,2 => CTR => H3: 3,4,7,9 * PRF # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G3: 2,4 => SOL * STA # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 + G3: 2,4 * CNT 3 HDP CHAINS / 35 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1269989;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 # B9: 5,6 => UNS * INC # B9: 4,7 => UNS * INC # A6: 5,6 => UNS * INC # A6: 1,2,3 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B9: 5,6 => UNS * INC # B9: 4,7 => UNS * INC # A6: 5,6 => UNS * INC # A6: 1,2,3 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B9: 5,6 => UNS * INC # B9: 4,7 => UNS * INC # A6: 5,6 => UNS * INC # A6: 1,2,3 => UNS * INC # B9: 5,6 # C7: 1,3 => UNS * INC # B9: 5,6 # B8: 1,3 => UNS * INC # B9: 5,6 # A3: 1,3 => UNS * INC # B9: 5,6 # A6: 1,3 => UNS * INC # B9: 5,6 # A6: 5,6 => UNS * INC # B9: 5,6 # A6: 1,2,3 => UNS * INC # B9: 5,6 # B4: 5,6 => UNS * INC # B9: 5,6 # B6: 5,6 => UNS * INC # B9: 5,6 # C7: 4,7 => UNS * INC # B9: 5,6 # C7: 1,3 => UNS * INC # B9: 5,6 # H9: 4,7 => UNS * INC # B9: 5,6 # H9: 2,9 => UNS * INC # B9: 5,6 # F8: 2,4 => UNS * INC # B9: 5,6 # D9: 2,4 => UNS * INC # B9: 5,6 # H9: 2,4 => UNS * INC # B9: 5,6 # H9: 7,9 => UNS * INC # B9: 5,6 # E2: 2,4 => UNS * INC # B9: 5,6 # E3: 2,4 => UNS * INC # B9: 5,6 # E6: 2,4 => UNS * INC # B9: 5,6 => UNS * INC # B9: 4,7 # A6: 5,6 => UNS * INC # B9: 4,7 # A6: 1,2,3 => UNS * INC # B9: 4,7 # C7: 4,7 => UNS * INC # B9: 4,7 # C9: 4,7 => UNS * INC # B9: 4,7 # H9: 4,7 => UNS * INC # B9: 4,7 # H9: 2,9 => UNS * INC # B9: 4,7 => UNS * INC # A6: 5,6 # C4: 1,2 => UNS * INC # A6: 5,6 # C6: 1,2 => UNS * INC # A6: 5,6 # F5: 1,2 => UNS * INC # A6: 5,6 # I5: 1,2 => UNS * INC # A6: 5,6 # A3: 1,2 => UNS * INC # A6: 5,6 # A3: 3 => UNS * INC # A6: 5,6 # B4: 5,6 => UNS * INC # A6: 5,6 # B6: 5,6 => UNS * INC # A6: 5,6 # F6: 5,6 => UNS * INC # A6: 5,6 # F6: 1,2,4,7 => UNS * INC # A6: 5,6 # C7: 1,3 => UNS * INC # A6: 5,6 # B8: 1,3 => UNS * INC # A6: 5,6 # A3: 1,3 => UNS * INC # A6: 5,6 # A3: 2 => UNS * INC # A6: 5,6 # B9: 5,6 => UNS * INC # A6: 5,6 # B9: 4,7 => UNS * INC # A6: 5,6 => UNS * INC # A6: 1,2,3 => 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: 1,2 => UNS * INC # C1: 3 # C2: 4,6 => UNS * INC # C1: 3 # D3: 1,2 => UNS * INC # C1: 3 # E3: 1,2 => UNS * DIS # C1: 3 # F3: 1,2 => CTR => F3: 4,8,9 * DIS # C1: 3 + F3: 4,8,9 # H3: 1,2 => CTR => H3: 3,4,7,9 * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 1,2 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 6 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # C2: 1,2 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # C2: 4,6 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # D3: 1,2 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # E3: 1,2 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 1,2 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A5: 6 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B2: 1,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # C2: 1,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # D3: 1,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # E3: 1,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B8: 1,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B8: 3,5 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 5,9 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 3 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 3,5 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B6: 9 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A8: 3,5 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # A8: 1 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B9: 5,6 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # B9: 4,7 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # I8: 2,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # H9: 2,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # F8: 2,4 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # F8: 1,5 => UNS * INC # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G2: 2,4 => UNS * PRF # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 # G3: 2,4 => SOL * STA # C1: 3 + F3: 4,8,9 + H3: 3,4,7,9 + G3: 2,4 * CNT 34 HDP CHAINS / 35 HYP OPENED