Analysis of xx-ph-00000685-923-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... initial
Autosolve
position: .2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:27.770437
The following important HDP chains were detected:
* DIS # E3: 2,7 # A2: 1,3 => CTR => A2: 4,5 * DIS # E3: 2,7 + A2: 4,5 # B9: 3,5 => CTR => B9: 7,9 * PRF # E3: 2,7 + A2: 4,5 + B9: 7,9 # D6: 2,7 => SOL * STA # E3: 2,7 + A2: 4,5 + B9: 7,9 + D6: 2,7 * CNT 3 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... | initial |
| .2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... | autosolve |
| 123456789457189236689723415275938641348671592961245378532817964716594823894362157 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D3: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,G9: 1.. / G7 = 1 => 1 pairs (_) / G9 = 1 => 2 pairs (_) G2,G3: 2.. / G2 = 2 => 2 pairs (_) / G3 = 2 => 2 pairs (_) A2,C3: 4.. / A2 = 4 => 4 pairs (_) / C3 = 4 => 1 pairs (_) E6,F6: 4.. / E6 = 4 => 2 pairs (_) / F6 = 4 => 2 pairs (_) A8,B9: 7.. / A8 = 7 => 3 pairs (_) / B9 = 7 => 2 pairs (_) D7,F8: 8.. / D7 = 8 => 2 pairs (_) / F8 = 8 => 2 pairs (_) F2,E3: 9.. / F2 = 9 => 3 pairs (_) / E3 = 9 => 4 pairs (_) * DURATION: 0:00:04.802726 START: 05:57:41.875258 END: 05:57:46.677984 2020-11-21 * CP COUNT: (7) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:27.648127 START: 05:57:51.779647 END: 05:58:19.427774 2020-11-21 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000685-923-base-pr-002.dot * REASONING * DIS # E3: 2,7 # A2: 1,3 => CTR => A2: 4,5 * DIS # E3: 2,7 + A2: 4,5 # B9: 3,5 => CTR => B9: 7,9 * PRF # E3: 2,7 + A2: 4,5 + B9: 7,9 # D6: 2,7 => SOL * STA # E3: 2,7 + A2: 4,5 + B9: 7,9 + D6: 2,7 * CNT 3 HDP CHAINS / 24 HYP OPENED
Header Info
685;923;elev;22;11.30;11.30;10.50
Solution
position: 123456789457189236689723415275938641348671592961245378532817964716594823894362157 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 # E3: 2,7 => UNS * INC # E3: 5,9 => UNS * INC # G3: 2,7 => UNS * INC # G3: 4,5,8 => UNS * INC # D6: 2,7 => UNS * INC # D6: 1,6,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E3: 2,7 => UNS * INC # E3: 5,9 => UNS * INC # G3: 2,7 => UNS * INC # G3: 4,5,8 => UNS * INC # D6: 2,7 => UNS * INC # D6: 1,6,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E3: 2,7 => UNS * INC # E3: 5,9 => UNS * INC # G3: 2,7 => UNS * INC # G3: 4,5,8 => UNS * INC # D6: 2,7 => UNS * INC # D6: 1,6,8 => UNS * INC # E3: 2,7 # C1: 1,3 => UNS * DIS # E3: 2,7 # A2: 1,3 => CTR => A2: 4,5 * INC # E3: 2,7 + A2: 4,5 # C1: 1,3 => UNS * INC # E3: 2,7 + A2: 4,5 # C1: 8 => UNS * INC # E3: 2,7 + A2: 4,5 # A5: 1,3 => UNS * INC # E3: 2,7 + A2: 4,5 # A5: 7 => UNS * INC # E3: 2,7 + A2: 4,5 # H2: 3,5 => UNS * INC # E3: 2,7 + A2: 4,5 # I2: 3,5 => UNS * INC # E3: 2,7 + A2: 4,5 # B7: 3,5 => UNS * DIS # E3: 2,7 + A2: 4,5 # B9: 3,5 => CTR => B9: 7,9 * INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 3,5 => UNS * INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 6,9 => UNS * INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # H2: 3,5 => UNS * INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # I2: 3,5 => UNS * INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 3,5 => UNS * INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 6,9 => UNS * PRF # E3: 2,7 + A2: 4,5 + B9: 7,9 # D6: 2,7 => SOL * STA # E3: 2,7 + A2: 4,5 + B9: 7,9 + D6: 2,7 * CNT 23 HDP CHAINS / 24 HYP OPENED