Analysis of xx-ph-00000654-H128-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....7.6.5......4...7..5...4.6.....3...2......1..8..7.9.4.....2...1......8..3 initial
Autosolve
position: 98.7.....7.6.5......4...7..5...4.6.....3...2......1..8..7.9.4.....2...1......8..3 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:20.973228
The following important HDP chains were detected:
* DIS # C4: 8,9 # B4: 2,7 => CTR => B4: 1,3 * PRF # C4: 8,9 + B4: 1,3 # C5: 1 => SOL * STA # C4: 8,9 + B4: 1,3 + C5: 1 * CNT 2 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....7.6.5......4...7..5...4.6.....3...2......1..8..7.9.4.....2...1......8..3 | initial |
| 98.7.....7.6.5......4...7..5...4.6.....3...2......1..8..7.9.4.....2...1......8..3 | autosolve |
| 983726145716459832254813769538942671691387524472561398327195486865234917149678253 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D4: 8,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,E6: 2.. / F4 = 2 => 2 pairs (_) / E6 = 2 => 3 pairs (_) I7,G9: 2.. / I7 = 2 => 2 pairs (_) / G9 = 2 => 2 pairs (_) I5,H6: 4.. / I5 = 4 => 1 pairs (_) / H6 = 4 => 1 pairs (_) F8,D9: 4.. / F8 = 4 => 3 pairs (_) / D9 = 4 => 1 pairs (_) D2,D9: 4.. / D2 = 4 => 3 pairs (_) / D9 = 4 => 1 pairs (_) C1,B3: 5.. / C1 = 5 => 1 pairs (_) / B3 = 5 => 1 pairs (_) F5,D6: 5.. / F5 = 5 => 4 pairs (_) / D6 = 5 => 3 pairs (_) I8,H9: 7.. / I8 = 7 => 5 pairs (_) / H9 = 7 => 3 pairs (_) E9,H9: 7.. / E9 = 7 => 5 pairs (_) / H9 = 7 => 3 pairs (_) D4,E5: 8.. / D4 = 8 => 1 pairs (_) / E5 = 8 => 5 pairs (_) H7,G8: 8.. / H7 = 8 => 2 pairs (_) / G8 = 8 => 2 pairs (_) C4,D4: 8.. / C4 = 8 => 5 pairs (_) / D4 = 8 => 1 pairs (_) A7,H7: 8.. / A7 = 8 => 2 pairs (_) / H7 = 8 => 2 pairs (_) E3,E5: 8.. / E3 = 8 => 1 pairs (_) / E5 = 8 => 5 pairs (_) G2,G8: 8.. / G2 = 8 => 2 pairs (_) / G8 = 8 => 2 pairs (_) * DURATION: 0:00:10.774714 START: 22:38:46.619339 END: 22:38:57.394053 2020-11-20 * CP COUNT: (15) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:20.834071 START: 22:39:01.404662 END: 22:39:22.238733 2020-11-20 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000654-H128-base-pr-002.dot * REASONING * DIS # C4: 8,9 # B4: 2,7 => CTR => B4: 1,3 * PRF # C4: 8,9 + B4: 1,3 # C5: 1 => SOL * STA # C4: 8,9 + B4: 1,3 + C5: 1 * CNT 2 HDP CHAINS / 19 HYP OPENED
Header Info
654;H128;GP;22;11.30;11.30;10.60
Solution
position: 983726145716459832254813769538942671691387524472561398327195486865234917149678253 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 # C4: 8,9 => UNS * INC # C4: 1,2,3 => UNS * INC # D2: 8,9 => UNS * INC # D3: 8,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C4: 8,9 => UNS * INC # C4: 1,2,3 => UNS * INC # D2: 8,9 => UNS * INC # D3: 8,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C4: 8,9 => UNS * INC # C4: 1,2,3 => UNS * INC # D2: 8,9 => UNS * INC # D3: 8,9 => UNS * INC # C4: 8,9 # C5: 8,9 => UNS * INC # C4: 8,9 # C5: 1 => UNS * INC # C4: 8,9 # C8: 8,9 => UNS * INC # C4: 8,9 # C8: 3,5 => UNS * INC # C4: 8,9 # D2: 8,9 => UNS * INC # C4: 8,9 # D3: 8,9 => UNS * INC # C4: 8,9 # E6: 2,7 => UNS * INC # C4: 8,9 # E6: 6 => UNS * DIS # C4: 8,9 # B4: 2,7 => CTR => B4: 1,3 * INC # C4: 8,9 + B4: 1,3 # B2: 1,3 => UNS * INC # C4: 8,9 + B4: 1,3 # B3: 1,3 => UNS * INC # C4: 8,9 + B4: 1,3 # B7: 1,3 => UNS * INC # C4: 8,9 + B4: 1,3 # C5: 8,9 => UNS * PRF # C4: 8,9 + B4: 1,3 # C5: 1 => SOL * STA # C4: 8,9 + B4: 1,3 + C5: 1 * CNT 18 HDP CHAINS / 19 HYP OPENED