Analysis of xx-ph-00056031-12_10-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..5..8...7.....549..7...8...6.3.....8....3..7.53..5...6..9.........2.1.... initial
Autosolve
position: 98.7..65.5..8...7.....549.87...8...6.3.....8....3..7.53..5...6..9.........2.1.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:48.210691
The following important HDP chains were detected:
* DIS # E2: 2,3 # G8: 2,4 => CTR => G8: 1,3,5,8 * PRF # E2: 2,3 + G8: 1,3,5,8 # D4: 2,4 => SOL * STA # E2: 2,3 + G8: 1,3,5,8 + D4: 2,4 * CNT 2 HDP CHAINS / 64 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..5..8...7.....549..7...8...6.3.....8....3..7.53..5...6..9.........2.1.... | initial |
| 98.7..65.5..8...7.....549.87...8...6.3.....8....3..7.53..5...6..9.........2.1.... | autosolve |
| 984721653526839174173654928751482396639175482248396715317548269495267831862913547 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) E1: 2,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H4: 3.. / G4 = 3 => 1 pairs (_) / H4 = 3 => 5 pairs (_) C3,H3: 3.. / C3 = 3 => 4 pairs (_) / H3 = 3 => 2 pairs (_) C1,I1: 4.. / C1 = 4 => 1 pairs (_) / I1 = 4 => 3 pairs (_) F4,F5: 5.. / F4 = 5 => 1 pairs (_) / F5 = 5 => 1 pairs (_) C8,B9: 5.. / C8 = 5 => 1 pairs (_) / B9 = 5 => 1 pairs (_) G8,G9: 5.. / G8 = 5 => 1 pairs (_) / G9 = 5 => 1 pairs (_) C5,F5: 5.. / C5 = 5 => 1 pairs (_) / F5 = 5 => 1 pairs (_) C8,G8: 5.. / C8 = 5 => 1 pairs (_) / G8 = 5 => 1 pairs (_) B9,G9: 5.. / B9 = 5 => 1 pairs (_) / G9 = 5 => 1 pairs (_) B4,B9: 5.. / B4 = 5 => 1 pairs (_) / B9 = 5 => 1 pairs (_) B3,C3: 7.. / B3 = 7 => 2 pairs (_) / C3 = 7 => 2 pairs (_) E5,F5: 7.. / E5 = 7 => 1 pairs (_) / F5 = 7 => 1 pairs (_) A6,C6: 8.. / A6 = 8 => 2 pairs (_) / C6 = 8 => 1 pairs (_) E2,F2: 9.. / E2 = 9 => 1 pairs (_) / F2 = 9 => 1 pairs (_) * DURATION: 0:00:09.500661 START: 21:41:27.784808 END: 21:41:37.285469 2020-12-20 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:47.885839 START: 21:41:43.139879 END: 21:42:31.025718 2020-12-20 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00056031-12_10-base-pr-002.dot * REASONING * DIS # E2: 2,3 # G8: 2,4 => CTR => G8: 1,3,5,8 * PRF # E2: 2,3 + G8: 1,3,5,8 # D4: 2,4 => SOL * STA # E2: 2,3 + G8: 1,3,5,8 + D4: 2,4 * CNT 2 HDP CHAINS / 64 HYP OPENED
Header Info
56031;12_10;GP;24;11.30;1.20;1.20
Solution
position: 984721653526839174173654928751482396639175482248396715317548269495267831862913547 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 # F1: 2,3 => UNS * INC # E2: 2,3 => UNS * INC # F2: 2,3 => UNS * INC # I1: 2,3 => UNS * INC # I1: 1,4 => UNS * INC # E8: 2,3 => UNS * INC # E8: 4,6,7 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 2,3 => UNS * INC # E2: 2,3 => UNS * INC # F2: 2,3 => UNS * INC # I1: 2,3 => UNS * INC # I1: 1,4 => UNS * INC # E8: 2,3 => UNS * INC # E8: 4,6,7 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 2,3 => UNS * INC # E2: 2,3 => UNS * INC # F2: 2,3 => UNS * INC # I1: 2,3 => UNS * INC # I1: 1,4 => UNS * INC # E8: 2,3 => UNS * INC # E8: 4,6,7 => UNS * INC # F1: 2,3 # B2: 1,4 => UNS * INC # F1: 2,3 # C2: 1,4 => UNS * INC # F1: 2,3 # C4: 1,4 => UNS * INC # F1: 2,3 # C5: 1,4 => UNS * INC # F1: 2,3 # C6: 1,4 => UNS * INC # F1: 2,3 # C7: 1,4 => UNS * INC # F1: 2,3 # C8: 1,4 => UNS * INC # F1: 2,3 # E8: 2,3 => UNS * INC # F1: 2,3 # E8: 4,6,7 => UNS * INC # F1: 2,3 # F8: 2,3 => UNS * INC # F1: 2,3 # F8: 6,7,8 => UNS * INC # F1: 2,3 # F2: 6,9 => UNS * INC # F1: 2,3 # F2: 1 => UNS * INC # F1: 2,3 # E5: 6,9 => UNS * INC # F1: 2,3 # E6: 6,9 => UNS * INC # F1: 2,3 # F2: 1,6 => UNS * INC # F1: 2,3 # F2: 9 => UNS * INC # F1: 2,3 # A3: 1,6 => UNS * INC # F1: 2,3 # B3: 1,6 => UNS * INC # F1: 2,3 # C3: 1,6 => UNS * INC # F1: 2,3 # D5: 1,6 => UNS * INC # F1: 2,3 # D5: 2,4,9 => UNS * INC # F1: 2,3 # G2: 1,4 => UNS * INC # F1: 2,3 # I2: 1,4 => UNS * INC # F1: 2,3 # I5: 1,4 => UNS * INC # F1: 2,3 # I7: 1,4 => UNS * INC # F1: 2,3 # I8: 1,4 => UNS * INC # F1: 2,3 => UNS * INC # E2: 2,3 # C2: 3,4 => UNS * INC # E2: 2,3 # C2: 1,6 => UNS * INC # E2: 2,3 # I1: 3,4 => UNS * INC # E2: 2,3 # I1: 2 => UNS * INC # E2: 2,3 # B2: 1,2 => UNS * INC # E2: 2,3 # B3: 1,2 => UNS * INC # E2: 2,3 # H3: 1,2 => UNS * INC # E2: 2,3 # H3: 3 => UNS * INC # E2: 2,3 # A5: 1,2 => UNS * INC # E2: 2,3 # A6: 1,2 => UNS * INC # E2: 2,3 # I1: 2,3 => UNS * INC # E2: 2,3 # I1: 4 => UNS * INC # E2: 2,3 # G2: 2,3 => UNS * INC # E2: 2,3 # I2: 2,3 => UNS * INC # E2: 2,3 # F5: 2,5 => UNS * INC # E2: 2,3 # F5: 6,7 => UNS * INC # E2: 2,3 # B4: 2,5 => UNS * INC # E2: 2,3 # B4: 1,4 => UNS * INC # E2: 2,3 # F5: 2,6 => UNS * INC # E2: 2,3 # F5: 5,7 => UNS * INC # E2: 2,3 # A6: 2,6 => UNS * INC # E2: 2,3 # B6: 2,6 => UNS * INC # E2: 2,3 # F8: 2,6 => UNS * INC # E2: 2,3 # F8: 3,7,8 => UNS * DIS # E2: 2,3 # G8: 2,4 => CTR => G8: 1,3,5,8 * INC # E2: 2,3 + G8: 1,3,5,8 # H8: 2,4 => UNS * INC # E2: 2,3 + G8: 1,3,5,8 # I8: 2,4 => UNS * PRF # E2: 2,3 + G8: 1,3,5,8 # D4: 2,4 => SOL * STA # E2: 2,3 + G8: 1,3,5,8 + D4: 2,4 * CNT 63 HDP CHAINS / 64 HYP OPENED