Analysis of xx-ph-02236725-2018_12_25-base.sdk
Contents
Original Sudoku
level: hard
position: 9876.....65..4.9.........6.5....8...36..9..5...2.....949..3...6...1..4........53. initial
Autosolve
position: 9876.....65..4.9.........6.5.9..8...36..9..5...2.....949..3...6...1..49.......53. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:37.704543
The following important HDP chains were detected:
* DIS # C3: 1,3 # D4: 2,7 => CTR => D4: 3,4 * PRF # C3: 1,3 + D4: 3,4 # G5: 2,7 => SOL * STA # C3: 1,3 + D4: 3,4 + G5: 2,7 * CNT 2 HDP CHAINS / 44 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 9876.....65..4.9.........6.5....8...36..9..5...2.....949..3...6...1..4........53. | initial |
| 9876.....65..4.9.........6.5.9..8...36..9..5...2.....949..3...6...1..49.......53. | autosolve |
| 987615324653842971241379865579428613364791258812563749495237186738156492126984537 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) C2: 1,3 A3: 1,2 D9: 4,9 F9: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A3,B3: 2.. / A3 = 2 => 4 pairs (_) / B3 = 2 => 5 pairs (_) B8,C8: 3.. / B8 = 3 => 4 pairs (_) / C8 = 3 => 8 pairs (_) B3,B8: 3.. / B3 = 3 => 8 pairs (_) / B8 = 3 => 4 pairs (_) B3,C3: 4.. / B3 = 4 => 11 pairs (_) / C3 = 4 => 5 pairs (_) H1,I1: 4.. / H1 = 4 => 4 pairs (_) / I1 = 4 => 5 pairs (_) D9,F9: 4.. / D9 = 4 => 3 pairs (_) / F9 = 4 => 2 pairs (_) C3,C5: 4.. / C3 = 4 => 5 pairs (_) / C5 = 4 => 11 pairs (_) I1,I3: 5.. / I1 = 5 => 5 pairs (_) / I3 = 5 => 4 pairs (_) C7,C8: 5.. / C7 = 5 => 5 pairs (_) / C8 = 5 => 5 pairs (_) G4,G6: 6.. / G4 = 6 => 4 pairs (_) / G6 = 6 => 4 pairs (_) C8,C9: 6.. / C8 = 6 => 6 pairs (_) / C9 = 6 => 4 pairs (_) E4,G4: 6.. / E4 = 6 => 4 pairs (_) / G4 = 6 => 4 pairs (_) C9,E9: 6.. / C9 = 6 => 4 pairs (_) / E9 = 6 => 6 pairs (_) F6,F8: 6.. / F6 = 6 => 4 pairs (_) / F8 = 6 => 4 pairs (_) C5,A6: 8.. / C5 = 8 => 7 pairs (_) / A6 = 8 => 9 pairs (_) D3,F3: 9.. / D3 = 9 => 3 pairs (_) / F3 = 9 => 2 pairs (_) D9,F9: 9.. / D9 = 9 => 2 pairs (_) / F9 = 9 => 3 pairs (_) D3,D9: 9.. / D3 = 9 => 3 pairs (_) / D9 = 9 => 2 pairs (_) F3,F9: 9.. / F3 = 9 => 2 pairs (_) / F9 = 9 => 3 pairs (_) * DURATION: 0:00:15.730781 START: 06:17:18.538164 END: 06:17:34.268945 2020-10-10 * CP COUNT: (19) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:37.406278 START: 06:17:42.040119 END: 06:18:19.446397 2020-10-10 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-02236725-2018_12_25-base-pr-002.dot * REASONING * DIS # C3: 1,3 # D4: 2,7 => CTR => D4: 3,4 * PRF # C3: 1,3 + D4: 3,4 # G5: 2,7 => SOL * STA # C3: 1,3 + D4: 3,4 + G5: 2,7 * CNT 2 HDP CHAINS / 44 HYP OPENED
Header Info
2236725;2018_12_25;PAQ;25;11.50;1.20;1.20
Solution
position: 987615324653842971241379865579428613364791258812563749495237186738156492126984537 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 # B3: 1,3 => UNS * INC # C3: 1,3 => UNS * INC # F2: 1,3 => UNS * INC # I2: 1,3 => UNS * INC # B3: 1,2 => UNS * INC # B3: 3,4 => UNS * INC # A9: 1,2 => UNS * INC # A9: 7,8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B3: 1,3 => UNS * INC # C3: 1,3 => UNS * INC # F2: 1,3 => UNS * INC # I2: 1,3 => UNS * INC # B3: 1,2 => UNS * INC # B3: 3,4 => UNS * INC # A9: 1,2 => UNS * INC # A9: 7,8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B3: 1,3 => UNS * INC # C3: 1,3 => UNS * INC # F2: 1,3 => UNS * INC # I2: 1,3 => UNS * INC # B3: 1,2 => UNS * INC # B3: 3,4 => UNS * INC # A9: 1,2 => UNS * INC # A9: 7,8 => UNS * INC # B3: 1,3 # F2: 1,3 => UNS * INC # B3: 1,3 # I2: 1,3 => UNS * INC # B3: 1,3 # F3: 1,3 => UNS * INC # B3: 1,3 # G3: 1,3 => UNS * INC # B3: 1,3 # I3: 1,3 => UNS * INC # B3: 1,3 # A6: 1,8 => UNS * INC # B3: 1,3 # A6: 7 => UNS * INC # B3: 1,3 # G5: 1,8 => UNS * INC # B3: 1,3 # I5: 1,8 => UNS * INC # B3: 1,3 # C7: 1,8 => UNS * INC # B3: 1,3 # C9: 1,8 => UNS * INC # B3: 1,3 # A9: 7,8 => UNS * INC # B3: 1,3 # A9: 1 => UNS * INC # B3: 1,3 # E8: 7,8 => UNS * INC # B3: 1,3 # I8: 7,8 => UNS * INC # B3: 1,3 # A6: 7,8 => UNS * INC # B3: 1,3 # A6: 1 => UNS * INC # B3: 1,3 => UNS * INC # C3: 1,3 # F2: 1,3 => UNS * INC # C3: 1,3 # I2: 1,3 => UNS * INC # C3: 1,3 # F3: 1,3 => UNS * INC # C3: 1,3 # G3: 1,3 => UNS * INC # C3: 1,3 # I3: 1,3 => UNS * INC # C3: 1,3 # E4: 1,7 => UNS * INC # C3: 1,3 # G4: 1,7 => UNS * INC # C3: 1,3 # H4: 1,7 => UNS * INC # C3: 1,3 # I4: 1,7 => UNS * INC # C3: 1,3 # E6: 1,7 => UNS * INC # C3: 1,3 # F6: 1,7 => UNS * INC # C3: 1,3 # G6: 1,7 => UNS * INC # C3: 1,3 # H6: 1,7 => UNS * DIS # C3: 1,3 # D4: 2,7 => CTR => D4: 3,4 * INC # C3: 1,3 + D4: 3,4 # E4: 2,7 => UNS * INC # C3: 1,3 + D4: 3,4 # F5: 2,7 => UNS * PRF # C3: 1,3 + D4: 3,4 # G5: 2,7 => SOL * STA # C3: 1,3 + D4: 3,4 + G5: 2,7 * CNT 43 HDP CHAINS / 44 HYP OPENED