Analysis of xx-ph-00064493-12_11-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. initial
Autosolve
position: 98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:11.231610
The following important HDP chains were detected:
* DIS # G2: 2,5 # H2: 2,5 => CTR => H2: 1,8,9 * PRF # G2: 2,5 + H2: 1,8,9 # G3: 4,9 => SOL * STA # G2: 2,5 + H2: 1,8,9 + G3: 4,9 * CNT 2 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. | initial |
| 98.7..6..7...6......68.5....9.4...3..2......1..7.5.8....9.8.7.....1....2.....3.4. | autosolve |
| 983712654754369218216845973691428537528637491347951826139284765475196382862573149 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G4: 2,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G9: 1.. / H7 = 1 => 3 pairs (_) / G9 = 1 => 2 pairs (_) G4,H6: 2.. / G4 = 2 => 2 pairs (_) / H6 = 2 => 6 pairs (_) I7,G8: 3.. / I7 = 3 => 3 pairs (_) / G8 = 3 => 2 pairs (_) G5,I6: 4.. / G5 = 4 => 2 pairs (_) / I6 = 4 => 3 pairs (_) D7,D9: 5.. / D7 = 5 => 3 pairs (_) / D9 = 5 => 3 pairs (_) H3,I3: 7.. / H3 = 7 => 2 pairs (_) / I3 = 7 => 3 pairs (_) I4,H5: 7.. / I4 = 7 => 2 pairs (_) / H5 = 7 => 3 pairs (_) B8,B9: 7.. / B8 = 7 => 6 pairs (_) / B9 = 7 => 2 pairs (_) B9,E9: 7.. / B9 = 7 => 2 pairs (_) / E9 = 7 => 6 pairs (_) H3,H5: 7.. / H3 = 7 => 2 pairs (_) / H5 = 7 => 3 pairs (_) I3,I4: 7.. / I3 = 7 => 3 pairs (_) / I4 = 7 => 2 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 1 pairs (_) F4,F5: 8.. / F4 = 8 => 2 pairs (_) / F5 = 8 => 1 pairs (_) H8,I9: 8.. / H8 = 8 => 1 pairs (_) / I9 = 8 => 1 pairs (_) H2,H8: 8.. / H2 = 8 => 1 pairs (_) / H8 = 8 => 1 pairs (_) I2,I9: 8.. / I2 = 8 => 1 pairs (_) / I9 = 8 => 1 pairs (_) * DURATION: 0:00:09.145121 START: 01:13:13.443581 END: 01:13:22.588702 2020-12-22 * CP COUNT: (16) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:11.149776 START: 01:13:24.329246 END: 01:13:35.479022 2020-12-22 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00064493-12_11-base-pr-002.dot * REASONING * DIS # G2: 2,5 # H2: 2,5 => CTR => H2: 1,8,9 * PRF # G2: 2,5 + H2: 1,8,9 # G3: 4,9 => SOL * STA # G2: 2,5 + H2: 1,8,9 + G3: 4,9 * CNT 2 HDP CHAINS / 12 HYP OPENED
Header Info
64493;12_11;GP;24;11.30;11.30;9.70
Solution
position: 983712654754369218216845973691428537528637491347951826139284765475196382862573149 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 # G2: 2,5 => UNS * INC # G2: 1,3,4,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 2,5 => UNS * INC # G2: 1,3,4,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 2,5 => UNS * INC # G2: 1,3,4,9 => UNS * INC # G2: 2,5 # H1: 2,5 => UNS * DIS # G2: 2,5 # H2: 2,5 => CTR => H2: 1,8,9 * INC # G2: 2,5 + H2: 1,8,9 # H1: 2,5 => UNS * INC # G2: 2,5 + H2: 1,8,9 # H1: 1 => UNS * INC # G2: 2,5 + H2: 1,8,9 # C2: 2,5 => UNS * INC # G2: 2,5 + H2: 1,8,9 # C2: 1,3,4 => UNS * INC # G2: 2,5 + H2: 1,8,9 # I6: 4,9 => UNS * INC # G2: 2,5 + H2: 1,8,9 # I6: 6 => UNS * PRF # G2: 2,5 + H2: 1,8,9 # G3: 4,9 => SOL * STA # G2: 2,5 + H2: 1,8,9 + G3: 4,9 * CNT 11 HDP CHAINS / 12 HYP OPENED