Analysis of xx-ph-00014315-kz1a-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. initial
Autosolve
position: 98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.728533
The following important HDP chains were detected:
* DIS # E9: 3,7 # D2: 2,5 => CTR => D2: 1,3,4,9 * PRF # E9: 3,7 + D2: 1,3,4,9 # D4: 5,9 => SOL * STA # E9: 3,7 + D2: 1,3,4,9 + D4: 5,9 * CNT 2 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. | initial |
| 98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. | autosolve |
| 983754261654128739217369854471583692328691475596247318149836527762415983835972146 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) E7: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,F5: 1.. / D4 = 1 => 2 pairs (_) / F5 = 1 => 3 pairs (_) E5,D6: 2.. / E5 = 2 => 3 pairs (_) / D6 = 2 => 1 pairs (_) H5,G6: 3.. / H5 = 3 => 2 pairs (_) / G6 = 3 => 2 pairs (_) B7,F7: 4.. / B7 = 4 => 2 pairs (_) / F7 = 4 => 3 pairs (_) I5,I6: 5.. / I5 = 5 => 1 pairs (_) / I6 = 5 => 3 pairs (_) F7,F8: 6.. / F7 = 6 => 3 pairs (_) / F8 = 6 => 2 pairs (_) E4,F6: 8.. / E4 = 8 => 2 pairs (_) / F6 = 8 => 1 pairs (_) A8,A9: 8.. / A8 = 8 => 1 pairs (_) / A9 = 8 => 1 pairs (_) E2,E4: 8.. / E2 = 8 => 1 pairs (_) / E4 = 8 => 2 pairs (_) * DURATION: 0:00:06.389803 START: 02:06:00.831159 END: 02:06:07.220962 2020-09-23 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:23.604629 START: 02:06:11.124883 END: 02:06:34.729512 2020-09-23 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00014315-kz1a-base-pr-002.dot * REASONING * DIS # E9: 3,7 # D2: 2,5 => CTR => D2: 1,3,4,9 * PRF # E9: 3,7 + D2: 1,3,4,9 # D4: 5,9 => SOL * STA # E9: 3,7 + D2: 1,3,4,9 + D4: 5,9 * CNT 2 HDP CHAINS / 22 HYP OPENED
Header Info
14315;kz1a;GP;23;11.60;11.60;9.00
Solution
position: 983754261654128739217369854471583692328691475596247318149836527762415983835972146 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 # E9: 3,7 => UNS * INC # E9: 5,9 => UNS * INC # A7: 3,7 => UNS * INC # B7: 3,7 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E9: 3,7 => UNS * INC # E9: 5,9 => UNS * INC # A7: 3,7 => UNS * INC # B7: 3,7 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E9: 3,7 => UNS * INC # E9: 5,9 => UNS * INC # A7: 3,7 => UNS * INC # B7: 3,7 => UNS * DIS # E9: 3,7 # D2: 2,5 => CTR => D2: 1,3,4,9 * INC # E9: 3,7 + D2: 1,3,4,9 # E2: 2,5 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # E2: 2,5 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # E2: 8,9 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # C1: 2,5 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # C1: 1,3,4 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # E5: 2,5 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # E5: 9 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # A7: 3,7 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # B7: 3,7 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # F8: 4,6 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # F8: 5,9 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # B7: 4,6 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # B7: 1,2,3,7 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # D8: 5,9 => UNS * INC # E9: 3,7 + D2: 1,3,4,9 # F8: 5,9 => UNS * PRF # E9: 3,7 + D2: 1,3,4,9 # D4: 5,9 => SOL * STA # E9: 3,7 + D2: 1,3,4,9 + D4: 5,9 * CNT 21 HDP CHAINS / 22 HYP OPENED