Analysis of xx-ph-02488614-2019_08_05_a-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..75.....9...6......4.....3....76...5.....2......98..57...89.7.6.....1...8 initial
Autosolve
position: 98.7..6..75.....9...6......4...7.3....76...5.....2......98..57...89.7.6..7..1.9.8 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:43.472044
The following important HDP chains were detected:
* DIS # F4: 1,5 # H1: 1,4 => CTR => H1: 2,3 * DIS # F4: 1,5 + H1: 2,3 # H3: 3 => CTR => H3: 1,4 * PRF # F4: 1,5 + H1: 2,3 + H3: 1,4 # I1: 2,3 => SOL * STA # F4: 1,5 + H1: 2,3 + H3: 1,4 + I1: 2,3 * CNT 3 HDP CHAINS / 35 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..75.....9...6......4.....3....76...5.....2......98..57...89.7.6.....1...8 | initial |
| 98.7..6..75.....9...6......4...7.3....76...5.....2......98..57...89.7.6..7..1.9.8 | autosolve |
| 981745632754263891326198745492571386137684259865329417619832574248957163573416928 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D4: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I3: 5.. / I1 = 5 => 2 pairs (_) / I3 = 5 => 1 pairs (_) A8,E8: 5.. / A8 = 5 => 2 pairs (_) / E8 = 5 => 2 pairs (_) E2,F2: 6.. / E2 = 6 => 4 pairs (_) / F2 = 6 => 1 pairs (_) I4,I6: 6.. / I4 = 6 => 1 pairs (_) / I6 = 6 => 2 pairs (_) B4,I4: 6.. / B4 = 6 => 2 pairs (_) / I4 = 6 => 1 pairs (_) A9,F9: 6.. / A9 = 6 => 1 pairs (_) / F9 = 6 => 4 pairs (_) E2,E7: 6.. / E2 = 6 => 4 pairs (_) / E7 = 6 => 1 pairs (_) G3,I3: 7.. / G3 = 7 => 1 pairs (_) / I3 = 7 => 2 pairs (_) G6,I6: 7.. / G6 = 7 => 2 pairs (_) / I6 = 7 => 1 pairs (_) G3,G6: 7.. / G3 = 7 => 1 pairs (_) / G6 = 7 => 2 pairs (_) I3,I6: 7.. / I3 = 7 => 2 pairs (_) / I6 = 7 => 1 pairs (_) A5,A6: 8.. / A5 = 8 => 1 pairs (_) / A6 = 8 => 2 pairs (_) F4,H4: 8.. / F4 = 8 => 4 pairs (_) / H4 = 8 => 2 pairs (_) E3,F3: 9.. / E3 = 9 => 1 pairs (_) / F3 = 9 => 5 pairs (_) E3,E5: 9.. / E3 = 9 => 1 pairs (_) / E5 = 9 => 5 pairs (_) * DURATION: 0:00:12.155759 START: 06:11:47.187778 END: 06:11:59.343537 2020-11-17 * CP COUNT: (15) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:43.247111 START: 06:12:06.000561 END: 06:12:49.247672 2020-11-17 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-02488614-2019_08_05_a-base-pr-002.dot * REASONING * DIS # F4: 1,5 # H1: 1,4 => CTR => H1: 2,3 * DIS # F4: 1,5 + H1: 2,3 # H3: 3 => CTR => H3: 1,4 * PRF # F4: 1,5 + H1: 2,3 + H3: 1,4 # I1: 2,3 => SOL * STA # F4: 1,5 + H1: 2,3 + H3: 1,4 + I1: 2,3 * CNT 3 HDP CHAINS / 35 HYP OPENED
Header Info
2488614;2019_08_05_a;PAQ;24;11.40;1.20;1.20
Solution
position: 981745632754263891326198745492571386137684259865329417619832574248957163573416928 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 # F4: 1,5 => UNS * INC # D6: 1,5 => UNS * INC # F6: 1,5 => UNS * INC # C4: 1,5 => UNS * INC # C4: 2 => UNS * INC # D3: 1,5 => UNS * INC # D3: 2,3,4 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 1,5 => UNS * INC # D6: 1,5 => UNS * INC # F6: 1,5 => UNS * INC # C4: 1,5 => UNS * INC # C4: 2 => UNS * INC # D3: 1,5 => UNS * INC # D3: 2,3,4 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 1,5 => UNS * INC # D6: 1,5 => UNS * INC # F6: 1,5 => UNS * INC # C4: 1,5 => UNS * INC # C4: 2 => UNS * INC # D3: 1,5 => UNS * INC # D3: 2,3,4 => UNS * INC # F4: 1,5 # B6: 6,9 => UNS * INC # F4: 1,5 # B6: 1,3 => UNS * INC # F4: 1,5 # D3: 1,5 => UNS * INC # F4: 1,5 # D3: 3,4 => UNS * INC # F4: 1,5 # F1: 1,5 => UNS * INC # F4: 1,5 # F3: 1,5 => UNS * INC # F4: 1,5 # E5: 3,4 => UNS * INC # F4: 1,5 # F5: 3,4 => UNS * INC # F4: 1,5 # F6: 3,4 => UNS * INC # F4: 1,5 # D2: 3,4 => UNS * INC # F4: 1,5 # D3: 3,4 => UNS * INC # F4: 1,5 # D9: 3,4 => UNS * INC # F4: 1,5 # I6: 6,9 => UNS * INC # F4: 1,5 # I6: 1,4,7 => UNS * INC # F4: 1,5 # G5: 1,4 => UNS * INC # F4: 1,5 # I5: 1,4 => UNS * INC # F4: 1,5 # G6: 1,4 => UNS * INC # F4: 1,5 # I6: 1,4 => UNS * DIS # F4: 1,5 # H1: 1,4 => CTR => H1: 2,3 * INC # F4: 1,5 + H1: 2,3 # H3: 1,4 => UNS * INC # F4: 1,5 + H1: 2,3 # H3: 1,4 => UNS * DIS # F4: 1,5 + H1: 2,3 # H3: 3 => CTR => H3: 1,4 * INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # G5: 1,4 => UNS * INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # I5: 1,4 => UNS * INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # G6: 1,4 => UNS * INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # I6: 1,4 => UNS * PRF # F4: 1,5 + H1: 2,3 + H3: 1,4 # I1: 2,3 => SOL * STA # F4: 1,5 + H1: 2,3 + H3: 1,4 + I1: 2,3 * CNT 34 HDP CHAINS / 35 HYP OPENED