Analysis of xx-ph-01315006-13_12-base.sdk
Contents
Original Sudoku
level: hard
position: 98.76....75.........45..87.5..6..94..4......3..9.2....4....6..8.9.8..45.........1 initial
Autosolve
position: 98.76....75.........45..87.5..6..94..4......3..9.2....4....6..8.9.8..45.........1 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:35.504332
The following important HDP chains were detected:
* DIS # E5: 1,9 # E2: 1,9 => CTR => E2: 3,4,8 * PRF # D2: 1,9 # E2: 1,9 => SOL * STA # D2: 1,9 + E2: 1,9 * CNT 2 HDP CHAINS / 59 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.76....75.........45..87.5..6..94..4......3..9.2....4....6..8.9.8..45.........1 | initial |
| 98.76....75.........45..87.5..6..94..4......3..9.2....4....6..8.9.8..45.........1 | autosolve |
| 983764125752918364164532879521683947647159283839427516415296738396871452278345691 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) D5: 1,9 I4: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I2: 4.. / I1 = 4 => 2 pairs (_) / I2 = 4 => 4 pairs (_) D6,F6: 4.. / D6 = 4 => 2 pairs (_) / F6 = 4 => 3 pairs (_) F1,I1: 4.. / F1 = 4 => 4 pairs (_) / I1 = 4 => 2 pairs (_) E2,E9: 4.. / E2 = 4 => 2 pairs (_) / E9 = 4 => 2 pairs (_) G1,I1: 5.. / G1 = 5 => 3 pairs (_) / I1 = 5 => 4 pairs (_) C7,C9: 5.. / C7 = 5 => 2 pairs (_) / C9 = 5 => 2 pairs (_) C7,E7: 5.. / C7 = 5 => 2 pairs (_) / E7 = 5 => 2 pairs (_) I1,I6: 5.. / I1 = 5 => 4 pairs (_) / I6 = 5 => 3 pairs (_) E2,F2: 8.. / E2 = 8 => 2 pairs (_) / F2 = 8 => 2 pairs (_) H5,H6: 8.. / H5 = 8 => 3 pairs (_) / H6 = 8 => 2 pairs (_) A9,C9: 8.. / A9 = 8 => 2 pairs (_) / C9 = 8 => 2 pairs (_) I2,I3: 9.. / I2 = 9 => 3 pairs (_) / I3 = 9 => 3 pairs (_) H7,H9: 9.. / H7 = 9 => 2 pairs (_) / H9 = 9 => 3 pairs (_) * DURATION: 0:00:09.636435 START: 19:59:54.612945 END: 20:00:04.249380 2020-10-23 * CP COUNT: (13) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:35.210313 START: 20:00:13.029299 END: 20:00:48.239612 2020-10-23 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-01315006-13_12-base-pr-002.dot * REASONING * DIS # E5: 1,9 # E2: 1,9 => CTR => E2: 3,4,8 * PRF # D2: 1,9 # E2: 1,9 => SOL * STA # D2: 1,9 + E2: 1,9 * CNT 2 HDP CHAINS / 59 HYP OPENED
Header Info
1315006;13_12;GP;26;11.40;11.40;2.60
Solution
position: 983764125752918364164532879521683947647159283839427516415296738396871452278345691 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 # E5: 1,9 => UNS * INC # F5: 1,9 => UNS * INC # D2: 1,9 => UNS * INC # D7: 1,9 => UNS * INC # G5: 2,7 => UNS * INC # G5: 1,5,6 => UNS * INC # B4: 2,7 => UNS * INC # C4: 2,7 => UNS * INC # I8: 2,7 => UNS * INC # I8: 6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 1,9 => UNS * INC # F5: 1,9 => UNS * INC # D2: 1,9 => UNS * INC # D7: 1,9 => UNS * INC # G5: 2,7 => UNS * INC # G5: 1,5,6 => UNS * INC # B4: 2,7 => UNS * INC # C4: 2,7 => UNS * INC # I8: 2,7 => UNS * INC # I8: 6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 1,9 => UNS * INC # F5: 1,9 => UNS * INC # D2: 1,9 => UNS * INC # D7: 1,9 => UNS * INC # G5: 2,7 => UNS * INC # G5: 1,5,6 => UNS * INC # B4: 2,7 => UNS * INC # C4: 2,7 => UNS * INC # I8: 2,7 => UNS * INC # I8: 6 => UNS * INC # E5: 1,9 # D2: 1,9 => UNS * INC # E5: 1,9 # D7: 1,9 => UNS * DIS # E5: 1,9 # E2: 1,9 => CTR => E2: 3,4,8 * INC # E5: 1,9 + E2: 3,4,8 # E3: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # E7: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # E3: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # E7: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # F6: 3,4 => UNS * INC # E5: 1,9 + E2: 3,4,8 # F6: 5,7,8 => UNS * INC # E5: 1,9 + E2: 3,4,8 # D2: 3,4 => UNS * INC # E5: 1,9 + E2: 3,4,8 # D9: 3,4 => UNS * INC # E5: 1,9 + E2: 3,4,8 # G5: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # G5: 5,6 => UNS * INC # E5: 1,9 + E2: 3,4,8 # B4: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # C4: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # I8: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # I8: 6 => UNS * INC # E5: 1,9 + E2: 3,4,8 # D2: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # D7: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # E3: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # E7: 1,9 => UNS * INC # E5: 1,9 + E2: 3,4,8 # F6: 3,4 => UNS * INC # E5: 1,9 + E2: 3,4,8 # F6: 5,7,8 => UNS * INC # E5: 1,9 + E2: 3,4,8 # D2: 3,4 => UNS * INC # E5: 1,9 + E2: 3,4,8 # D9: 3,4 => UNS * INC # E5: 1,9 + E2: 3,4,8 # G5: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # G5: 5,6 => UNS * INC # E5: 1,9 + E2: 3,4,8 # B4: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # C4: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # I8: 2,7 => UNS * INC # E5: 1,9 + E2: 3,4,8 # I8: 6 => UNS * INC # E5: 1,9 + E2: 3,4,8 => UNS * INC # F5: 1,9 # D2: 1,9 => UNS * INC # F5: 1,9 # D7: 1,9 => UNS * INC # F5: 1,9 # F2: 1,9 => UNS * INC # F5: 1,9 # F3: 1,9 => UNS * INC # F5: 1,9 # F6: 3,4 => UNS * INC # F5: 1,9 # F6: 5,7,8 => UNS * INC # F5: 1,9 # D2: 3,4 => UNS * INC # F5: 1,9 # D9: 3,4 => UNS * INC # F5: 1,9 # G5: 2,7 => UNS * INC # F5: 1,9 # G5: 5,6 => UNS * INC # F5: 1,9 # B4: 2,7 => UNS * INC # F5: 1,9 # C4: 2,7 => UNS * INC # F5: 1,9 # I8: 2,7 => UNS * INC # F5: 1,9 # I8: 6 => UNS * INC # F5: 1,9 => UNS * PRF # D2: 1,9 # E2: 1,9 => SOL * STA # D2: 1,9 + E2: 1,9 * CNT 58 HDP CHAINS / 59 HYP OPENED