Analysis of xx-ph-00027898-2011_12-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6...5.8....5....7..4...3.....95..7......2...1..68..9......1...3.....4.2. initial
Autosolve
position: 98.7.....6...5.8....5....7..4...3.....95..7......2...1..68..9......1...3.....4.2. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:49.687029
The following important HDP chains were detected:
* DIS # E9: 3,7 # H6: 3,8 => CTR => H6: 4,5,6,9 * DIS # E9: 3,7 + H6: 4,5,6,9 # D4: 6,9 => CTR => D4: 1 * PRF # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # H5: 6,8 => SOL * STA # E9: 3,7 + H6: 4,5,6,9 + D4: 1 + H5: 6,8 * CNT 3 HDP CHAINS / 52 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6...5.8....5....7..4...3.....95..7......2...1..68..9......1...3.....4.2. | initial |
| 98.7.....6...5.8....5....7..4...3.....95..7......2...1..68..9......1...3.....4.2. | autosolve |
| 984761235671352894235498176742183659319546782568927341426835917857219463193674528 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) E7: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,F5: 1.. / D4 = 1 => 2 pairs (_) / F5 = 1 => 4 pairs (_) H7,G9: 1.. / H7 = 1 => 2 pairs (_) / G9 = 1 => 2 pairs (_) E5,D6: 4.. / E5 = 4 => 3 pairs (_) / D6 = 4 => 2 pairs (_) F7,F8: 5.. / F7 = 5 => 3 pairs (_) / F8 = 5 => 3 pairs (_) B5,B6: 6.. / B5 = 6 => 3 pairs (_) / B6 = 6 => 2 pairs (_) B2,C2: 7.. / B2 = 7 => 1 pairs (_) / C2 = 7 => 2 pairs (_) E4,F6: 7.. / E4 = 7 => 6 pairs (_) / F6 = 7 => 3 pairs (_) I7,I9: 7.. / I7 = 7 => 3 pairs (_) / I9 = 7 => 3 pairs (_) E3,F3: 8.. / E3 = 8 => 2 pairs (_) / F3 = 8 => 2 pairs (_) H8,I9: 8.. / H8 = 8 => 1 pairs (_) / I9 = 8 => 3 pairs (_) B8,B9: 9.. / B8 = 9 => 2 pairs (_) / B9 = 9 => 6 pairs (_) * DURATION: 0:00:06.204192 START: 18:00:15.378066 END: 18:00:21.582258 2020-12-09 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:49.460403 START: 18:00:24.847923 END: 18:01:14.308326 2020-12-09 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00027898-2011_12-base-pr-002.dot * REASONING * DIS # E9: 3,7 # H6: 3,8 => CTR => H6: 4,5,6,9 * DIS # E9: 3,7 + H6: 4,5,6,9 # D4: 6,9 => CTR => D4: 1 * PRF # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # H5: 6,8 => SOL * STA # E9: 3,7 + H6: 4,5,6,9 + D4: 1 + H5: 6,8 * CNT 3 HDP CHAINS / 52 HYP OPENED
Header Info
27898;2011_12;GP;22;11.30;11.30;9.30
Solution
position: 984761235671352894235498176742183659319546782568927341426835917857219463193674528 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # E9: 3,7 => UNS * INC # E9: 6,9 => UNS * INC # A7: 3,7 => UNS * INC # B7: 3,7 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E9: 3,7 => UNS * INC # E9: 6,9 => UNS * INC # A7: 3,7 => UNS * INC # B7: 3,7 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E9: 3,7 => UNS * INC # E9: 6,9 => UNS * INC # A7: 3,7 => UNS * INC # B7: 3,7 => UNS * INC # E9: 3,7 # D3: 4,6 => UNS * INC # E9: 3,7 # E3: 4,6 => UNS * INC # E9: 3,7 # G1: 4,6 => UNS * INC # E9: 3,7 # H1: 4,6 => UNS * INC # E9: 3,7 # I1: 4,6 => UNS * INC # E9: 3,7 # E5: 4,6 => UNS * INC # E9: 3,7 # E5: 8 => UNS * INC # E9: 3,7 # A5: 3,8 => UNS * INC # E9: 3,7 # A6: 3,8 => UNS * DIS # E9: 3,7 # H6: 3,8 => CTR => H6: 4,5,6,9 * INC # E9: 3,7 + H6: 4,5,6,9 # C9: 3,8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # C9: 1 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # A6: 3,8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # A6: 5 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # C9: 3,8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # C9: 1 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # F8: 2,5 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # F8: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # A7: 2,5 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # B7: 2,5 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # D8: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # F8: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 # D3: 6,9 => UNS * DIS # E9: 3,7 + H6: 4,5,6,9 # D4: 6,9 => CTR => D4: 1 * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # D6: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # D8: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # F8: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # D3: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # D6: 6,9 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # D3: 4,6 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # E3: 4,6 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # G1: 4,6 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # H1: 4,6 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # I1: 4,6 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # E5: 4,6 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # E5: 8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # A4: 2,7 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # A4: 5 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # C2: 2,7 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # C8: 2,7 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # A6: 3,8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # A6: 5 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # C9: 3,8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # C9: 1 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # E4: 6,8 => UNS * INC # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # E5: 6,8 => UNS * PRF # E9: 3,7 + H6: 4,5,6,9 + D4: 1 # H5: 6,8 => SOL * STA # E9: 3,7 + H6: 4,5,6,9 + D4: 1 + H5: 6,8 * CNT 51 HDP CHAINS / 52 HYP OPENED