Analysis of xx-ph-00011978-kz0-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 initial
Autosolve
position: 98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.799240
The following important HDP chains were detected:
* DIS # F7: 8,9 # D5: 4,6 => CTR => D5: 3 * DIS # F7: 8,9 + D5: 3 # D6: 2,9 => CTR => D6: 4,6 * PRF # F7: 8,9 + D5: 3 + D6: 4,6 # G9: 1,7 => SOL * STA # F7: 8,9 + D5: 3 + D6: 4,6 + G9: 1,7 * CNT 3 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 | initial |
| 98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 | autosolve |
| 985723164671549283324861975416285397798314526253697841547938612832176459169452738 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D7: 8,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,F5: 3.. / D5 = 3 => 2 pairs (_) / F5 = 3 => 6 pairs (_) I8,H9: 3.. / I8 = 3 => 1 pairs (_) / H9 = 3 => 1 pairs (_) D3,D5: 3.. / D3 = 3 => 6 pairs (_) / D5 = 3 => 2 pairs (_) F7,E9: 5.. / F7 = 5 => 1 pairs (_) / E9 = 5 => 11 pairs (_) H1,I1: 6.. / H1 = 6 => 2 pairs (_) / I1 = 6 => 1 pairs (_) F8,D9: 6.. / F8 = 6 => 2 pairs (_) / D9 = 6 => 4 pairs (_) E8,E9: 7.. / E8 = 7 => 2 pairs (_) / E9 = 7 => 3 pairs (_) D3,D7: 8.. / D3 = 8 => 10 pairs (_) / D7 = 8 => 2 pairs (_) E2,F2: 9.. / E2 = 9 => 2 pairs (_) / F2 = 9 => 2 pairs (_) * DURATION: 0:00:05.751295 START: 02:14:45.884865 END: 02:14:51.636160 2020-12-02 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:23.675103 START: 02:14:55.386792 END: 02:15:19.061895 2020-12-02 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00011978-kz0-base-pr-002.dot * REASONING * DIS # F7: 8,9 # D5: 4,6 => CTR => D5: 3 * DIS # F7: 8,9 + D5: 3 # D6: 2,9 => CTR => D6: 4,6 * PRF # F7: 8,9 + D5: 3 + D6: 4,6 # G9: 1,7 => SOL * STA # F7: 8,9 + D5: 3 + D6: 4,6 + G9: 1,7 * CNT 3 HDP CHAINS / 22 HYP OPENED
Header Info
11978;kz0;GP;23;11.30;11.30;10.40
Solution
position: 985723164671549283324861975416285397798314526253697841547938612832176459169452738 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 # F7: 8,9 => UNS * INC # F8: 8,9 => UNS * INC # C7: 8,9 => UNS * INC # C7: 1,2,5,7 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F7: 8,9 => UNS * INC # F8: 8,9 => UNS * INC # C7: 8,9 => UNS * INC # C7: 1,2,5,7 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F7: 8,9 => UNS * INC # F8: 8,9 => UNS * INC # C7: 8,9 => UNS * INC # C7: 1,2,5,7 => UNS * INC # F7: 8,9 # F5: 1,4 => UNS * INC # F7: 8,9 # F5: 3,5,6 => UNS * INC # F7: 8,9 # E1: 1,4 => UNS * INC # F7: 8,9 # E2: 1,4 => UNS * INC # F7: 8,9 # G5: 5,8 => UNS * INC # F7: 8,9 # G5: 7 => UNS * INC # F7: 8,9 # A6: 5,8 => UNS * INC # F7: 8,9 # A6: 2 => UNS * INC # F7: 8,9 # F2: 8,9 => UNS * INC # F7: 8,9 # F2: 1,3,4 => UNS * INC # F7: 8,9 # F5: 4,6 => UNS * INC # F7: 8,9 # F5: 1,3,5 => UNS * DIS # F7: 8,9 # D5: 4,6 => CTR => D5: 3 * INC # F7: 8,9 + D5: 3 # D6: 4,6 => UNS * INC # F7: 8,9 + D5: 3 # D6: 4,6 => UNS * DIS # F7: 8,9 + D5: 3 # D6: 2,9 => CTR => D6: 4,6 * PRF # F7: 8,9 + D5: 3 + D6: 4,6 # G9: 1,7 => SOL * STA # F7: 8,9 + D5: 3 + D6: 4,6 + G9: 1,7 * CNT 21 HDP CHAINS / 22 HYP OPENED