Analysis of xx-ph-00057065-12_10-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..7...5......4..9.7.4....7.3...3.2.5......1..6..4...8.9...92....6......1.. initial
Autosolve
position: 98.7..6..7...5......4..9.7.4....7.3...3.2.5......1..6..4...8.9...92....6......1.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:20.963865
The following important HDP chains were detected:
* DIS # F1: 3,4 # E9: 3,4 => CTR => E9: 6,7,9 * PRF # F1: 3,4 + E9: 6,7,9 # F9: 3,4 => SOL * STA # F1: 3,4 + E9: 6,7,9 + F9: 3,4 * CNT 2 HDP CHAINS / 27 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..7...5......4..9.7.4....7.3...3.2.5......1..6..4...8.9...92....6......1.. | initial |
| 98.7..6..7...5......4..9.7.4....7.3...3.2.5......1..6..4...8.9...92....6......1.. | autosolve |
| 982734615736152948514689372465897231193426587827315469241568793379241856658973124 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) E1: 3,4 F5: 4,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D7,F8: 1.. / D7 = 1 => 4 pairs (_) / F8 = 1 => 2 pairs (_) F1,F2: 2.. / F1 = 2 => 3 pairs (_) / F2 = 2 => 3 pairs (_) D6,F6: 3.. / D6 = 3 => 3 pairs (_) / F6 = 3 => 2 pairs (_) B5,I5: 7.. / B5 = 7 => 2 pairs (_) / I5 = 7 => 2 pairs (_) E3,E4: 8.. / E3 = 8 => 4 pairs (_) / E4 = 8 => 4 pairs (_) G2,I2: 9.. / G2 = 9 => 3 pairs (_) / I2 = 9 => 2 pairs (_) D9,E9: 9.. / D9 = 9 => 6 pairs (_) / E9 = 9 => 3 pairs (_) E4,E9: 9.. / E4 = 9 => 6 pairs (_) / E9 = 9 => 3 pairs (_) * DURATION: 0:00:04.767372 START: 02:19:40.585606 END: 02:19:45.352978 2020-12-21 * CP COUNT: (8) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:20.791562 START: 02:19:53.475574 END: 02:20:14.267136 2020-12-21 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00057065-12_10-base-pr-002.dot * REASONING * DIS # F1: 3,4 # E9: 3,4 => CTR => E9: 6,7,9 * PRF # F1: 3,4 + E9: 6,7,9 # F9: 3,4 => SOL * STA # F1: 3,4 + E9: 6,7,9 + F9: 3,4 * CNT 2 HDP CHAINS / 27 HYP OPENED
Header Info
57065;12_10;GP;24;11.30;11.30;11.00
Solution
position: 982734615736152948514689372465897231193426587827315469241568793379241856658973124 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 # F1: 3,4 => UNS * INC # D2: 3,4 => UNS * INC # F2: 3,4 => UNS * INC # I1: 3,4 => UNS * INC # I1: 1,2,5 => UNS * INC # E8: 3,4 => UNS * INC # E9: 3,4 => UNS * INC # D5: 4,6 => UNS * INC # D5: 8,9 => UNS * INC # F2: 4,6 => UNS * INC # F9: 4,6 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 3,4 => UNS * INC # D2: 3,4 => UNS * INC # F2: 3,4 => UNS * INC # I1: 3,4 => UNS * INC # I1: 1,2,5 => UNS * INC # E8: 3,4 => UNS * INC # E9: 3,4 => UNS * INC # D5: 4,6 => UNS * INC # D5: 8,9 => UNS * INC # F2: 4,6 => UNS * INC # F9: 4,6 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 3,4 => UNS * INC # D2: 3,4 => UNS * INC # F2: 3,4 => UNS * INC # I1: 3,4 => UNS * INC # I1: 1,2,5 => UNS * INC # E8: 3,4 => UNS * INC # E9: 3,4 => UNS * INC # D5: 4,6 => UNS * INC # D5: 8,9 => UNS * INC # F2: 4,6 => UNS * INC # F9: 4,6 => UNS * INC # F1: 3,4 # B2: 1,6 => UNS * INC # F1: 3,4 # A3: 1,6 => UNS * INC # F1: 3,4 # B3: 1,6 => UNS * INC # F1: 3,4 # D2: 1,6 => UNS * INC # F1: 3,4 # D2: 8 => UNS * INC # F1: 3,4 # C4: 1,6 => UNS * INC # F1: 3,4 # C7: 1,6 => UNS * INC # F1: 3,4 # E8: 3,4 => UNS * DIS # F1: 3,4 # E9: 3,4 => CTR => E9: 6,7,9 * INC # F1: 3,4 + E9: 6,7,9 # E8: 3,4 => UNS * INC # F1: 3,4 + E9: 6,7,9 # E8: 7 => UNS * INC # F1: 3,4 + E9: 6,7,9 # E8: 3,4 => UNS * INC # F1: 3,4 + E9: 6,7,9 # E8: 7 => UNS * INC # F1: 3,4 + E9: 6,7,9 # F6: 3,4 => UNS * PRF # F1: 3,4 + E9: 6,7,9 # F9: 3,4 => SOL * STA # F1: 3,4 + E9: 6,7,9 + F9: 3,4 * CNT 26 HDP CHAINS / 27 HYP OPENED