Analysis of xx-ph-00000464-141-base.sdk
Contents
Original Sudoku
level: hard
position: ....5.7.......9.3..8.2....6..81.4...6.4.....1.1..2.....6......85....39......7..5. initial
Autosolve
position: ....5.7.......9.3..8.2....6..81.4...6.4.....1.1..2.....6......85....39..8...7..5. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:29.387754
The following important HDP chains were detected:
* DIS # A3: 1,7 # H8: 4,7 => CTR => H8: 1,2,6 * PRF # A3: 1,7 + H8: 1,2,6 # G9: 3,4 => SOL * STA # A3: 1,7 + H8: 1,2,6 + G9: 3,4 * CNT 2 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....5.7.......9.3..8.2....6..81.4...6.4.....1.1..2.....6......85....39......7..5. | initial |
| ....5.7.......9.3..8.2....6..81.4...6.4.....1.1..2.....6......85....39..8...7..5. | autosolve |
| 123456789456789132789231546278164395634597821915328674367945218542813967891672453 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F3: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F7,F9: 2.. / F7 = 2 => 2 pairs (_) / F9 = 2 => 3 pairs (_) D1,E3: 3.. / D1 = 3 => 2 pairs (_) / E3 = 3 => 3 pairs (_) D7,F7: 5.. / D7 = 5 => 2 pairs (_) / F7 = 5 => 5 pairs (_) C3,G3: 5.. / C3 = 5 => 2 pairs (_) / G3 = 5 => 2 pairs (_) C1,C2: 6.. / C1 = 6 => 2 pairs (_) / C2 = 6 => 1 pairs (_) H8,G9: 6.. / H8 = 6 => 2 pairs (_) / G9 = 6 => 5 pairs (_) D2,F3: 7.. / D2 = 7 => 10 pairs (_) / F3 = 7 => 1 pairs (_) H1,G2: 8.. / H1 = 8 => 3 pairs (_) / G2 = 8 => 1 pairs (_) D8,E8: 8.. / D8 = 8 => 1 pairs (_) / E8 = 8 => 3 pairs (_) * DURATION: 0:00:05.343129 START: 21:43:17.507939 END: 21:43:22.851068 2020-10-25 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:29.208297 START: 21:43:24.966084 END: 21:43:54.174381 2020-10-25 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000464-141-base-pr-002.dot * REASONING * DIS # A3: 1,7 # H8: 4,7 => CTR => H8: 1,2,6 * PRF # A3: 1,7 + H8: 1,2,6 # G9: 3,4 => SOL * STA # A3: 1,7 + H8: 1,2,6 + G9: 3,4 * CNT 2 HDP CHAINS / 31 HYP OPENED
Header Info
464;141;elev;22;11.40;1.20;1.20
Solution
position: 123456789456789132789231546278164395634597821915328674367945218542813967891672453 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 # A3: 1,7 => UNS * INC # C3: 1,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,7 => UNS * INC # C3: 1,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,7 => UNS * INC # C3: 1,7 => UNS * INC # A3: 1,7 # A2: 1,7 => UNS * INC # A3: 1,7 # C2: 1,7 => UNS * INC # A3: 1,7 # A7: 1,7 => UNS * INC # A3: 1,7 # A7: 2,3,4,9 => UNS * INC # A3: 1,7 # D1: 3,4 => UNS * INC # A3: 1,7 # D1: 6,8 => UNS * INC # A3: 1,7 # F1: 1,8 => UNS * INC # A3: 1,7 # F1: 6 => UNS * INC # A3: 1,7 # E2: 1,8 => UNS * INC # A3: 1,7 # E2: 4,6 => UNS * INC # A3: 1,7 # I2: 4,5 => UNS * INC # A3: 1,7 # I2: 2 => UNS * INC # A3: 1,7 # G6: 4,5 => UNS * INC # A3: 1,7 # G6: 3,6,8 => UNS * INC # A3: 1,7 # I1: 4,9 => UNS * INC # A3: 1,7 # I1: 2 => UNS * INC # A3: 1,7 # H6: 4,9 => UNS * INC # A3: 1,7 # H6: 6,7,8 => UNS * INC # A3: 1,7 # H7: 4,7 => UNS * DIS # A3: 1,7 # H8: 4,7 => CTR => H8: 1,2,6 * INC # A3: 1,7 + H8: 1,2,6 # H7: 4,7 => UNS * INC # A3: 1,7 + H8: 1,2,6 # H7: 1,2 => UNS * INC # A3: 1,7 + H8: 1,2,6 # B8: 4,7 => UNS * INC # A3: 1,7 + H8: 1,2,6 # B8: 2 => UNS * INC # A3: 1,7 + H8: 1,2,6 # I6: 4,7 => UNS * INC # A3: 1,7 + H8: 1,2,6 # I6: 3,5,9 => UNS * INC # A3: 1,7 + H8: 1,2,6 # G7: 3,4 => UNS * PRF # A3: 1,7 + H8: 1,2,6 # G9: 3,4 => SOL * STA # A3: 1,7 + H8: 1,2,6 + G9: 3,4 * CNT 30 HDP CHAINS / 31 HYP OPENED