Analysis of xx-ph-02236630-2018_12_25-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..75.....8...6......6...4...3..86...72..59.7....1......6..98...5......28.. initial
Autosolve
position: 98.7..6..75.....8...6.8....6...48..3..86...72..59.7.6881......6..98...5.5....28.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.311142
The following important HDP chains were detected:
* DIS # G4: 1,9 # C2: 2,3 => CTR => C2: 1,4 * DIS # G4: 1,9 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3 * PRF # G4: 1,9 + C2: 1,4 + C1: 2,3 # D3: 2,3 => SOL * STA # G4: 1,9 + C2: 1,4 + C1: 2,3 + D3: 2,3 * CNT 3 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..75.....8...6......6...4...3..86...72..59.7....1......6..98...5......28.. | initial |
| 98.7..6..75.....8...6.8....6...48..3..86...72..59.7.6881......6..98...5.5....28.. | autosolve |
| 982751634751436289346289715627548193498613572135927468814375926279864351563192847 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) H4: 1,9 G6: 1,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E6: 2.. / D4 = 2 => 5 pairs (_) / E6 = 2 => 7 pairs (_) G5,G6: 4.. / G5 = 4 => 4 pairs (_) / G6 = 4 => 2 pairs (_) I1,I3: 5.. / I1 = 5 => 2 pairs (_) / I3 = 5 => 3 pairs (_) G4,G5: 5.. / G4 = 5 => 3 pairs (_) / G5 = 5 => 10 pairs (_) D4,G4: 5.. / D4 = 5 => 10 pairs (_) / G4 = 5 => 3 pairs (_) E2,F2: 6.. / E2 = 6 => 2 pairs (_) / F2 = 6 => 2 pairs (_) B8,B9: 6.. / B8 = 6 => 2 pairs (_) / B9 = 6 => 2 pairs (_) B9,E9: 6.. / B9 = 6 => 2 pairs (_) / E9 = 6 => 2 pairs (_) F2,F8: 6.. / F2 = 6 => 2 pairs (_) / F8 = 6 => 2 pairs (_) G3,I3: 7.. / G3 = 7 => 2 pairs (_) / I3 = 7 => 3 pairs (_) B4,C4: 7.. / B4 = 7 => 3 pairs (_) / C4 = 7 => 6 pairs (_) B4,B5: 9.. / B4 = 9 => 6 pairs (_) / B5 = 9 => 3 pairs (_) B5,G5: 9.. / B5 = 9 => 3 pairs (_) / G5 = 9 => 6 pairs (_) * DURATION: 0:00:10.635678 START: 13:13:25.086394 END: 13:13:35.722072 2020-11-05 * CP COUNT: (13) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:12.199372 START: 13:13:43.426109 END: 13:13:55.625481 2020-11-05 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-02236630-2018_12_25-base-pr-002.dot * REASONING * DIS # G4: 1,9 # C2: 2,3 => CTR => C2: 1,4 * DIS # G4: 1,9 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3 * PRF # G4: 1,9 + C2: 1,4 + C1: 2,3 # D3: 2,3 => SOL * STA # G4: 1,9 + C2: 1,4 + C1: 2,3 + D3: 2,3 * CNT 3 HDP CHAINS / 14 HYP OPENED
Header Info
2236630;2018_12_25;PAQ;25;11.40;1.20;1.20
Solution
position: 982751634751436289346289715627548193498613572135927468814375926279864351563192847 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 # G4: 1,9 => UNS * INC # G5: 1,9 => UNS * INC # H3: 1,9 => UNS * INC # H9: 1,9 => UNS * INC # G5: 1,4 => UNS * INC # G5: 5,9 => UNS * INC # A6: 1,4 => UNS * INC # A6: 2,3 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G4: 1,9 => UNS * INC # G5: 1,9 => UNS * INC # H3: 1,9 => UNS * INC # H9: 1,9 => UNS * INC # G5: 1,4 => UNS * INC # G5: 5,9 => UNS * INC # A6: 1,4 => UNS * INC # A6: 2,3 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G4: 1,9 => UNS * INC # G5: 1,9 => UNS * INC # H3: 1,9 => UNS * INC # H9: 1,9 => UNS * INC # G5: 1,4 => UNS * INC # G5: 5,9 => UNS * INC # A6: 1,4 => UNS * INC # A6: 2,3 => UNS * INC # G4: 1,9 # C1: 2,3 => UNS * DIS # G4: 1,9 # C2: 2,3 => CTR => C2: 1,4 * INC # G4: 1,9 + C2: 1,4 # C1: 2,3 => UNS * DIS # G4: 1,9 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3 * PRF # G4: 1,9 + C2: 1,4 + C1: 2,3 # D3: 2,3 => SOL * STA # G4: 1,9 + C2: 1,4 + C1: 2,3 + D3: 2,3 * CNT 13 HDP CHAINS / 14 HYP OPENED