Analysis of xx-ph-00030063-2011_12-base.sdk
Contents
Original Sudoku
level: hard
position: 9876.....65....8...........7...4..3...97..6.......2..1.9..1...2..58..........3.4. initial
Autosolve
position: 9876.....65....8...........7...4..3...97..6.......2..1.9..1...2..58..........3.4. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:05.624115
The following important HDP chains were detected:
* PRF # F7: 4,5 # C7: 3,8 => SOL * STA # F7: 4,5 + C7: 3,8 * CNT 1 HDP CHAINS / 6 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 9876.....65....8...........7...4..3...97..6.......2..1.9..1...2..58..........3.4. | initial |
| 9876.....65....8...........7...4..3...97..6.......2..1.9..1...2..58..........3.4. | autosolve |
| 987624153654139827312587496761948235239751684548362971893415762425876319176293548 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D7: 4,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H5: 2.. / G4 = 2 => 3 pairs (_) / H5 = 2 => 3 pairs (_) I5,G6: 4.. / I5 = 4 => 2 pairs (_) / G6 = 4 => 4 pairs (_) A5,A6: 5.. / A5 = 5 => 5 pairs (_) / A6 = 5 => 2 pairs (_) H3,I3: 6.. / H3 = 6 => 1 pairs (_) / I3 = 6 => 1 pairs (_) F4,E6: 6.. / F4 = 6 => 2 pairs (_) / E6 = 6 => 2 pairs (_) G6,H6: 7.. / G6 = 7 => 3 pairs (_) / H6 = 7 => 1 pairs (_) B8,B9: 7.. / B8 = 7 => 1 pairs (_) / B9 = 7 => 1 pairs (_) E3,F3: 8.. / E3 = 8 => 2 pairs (_) / F3 = 8 => 2 pairs (_) H7,I9: 8.. / H7 = 8 => 3 pairs (_) / I9 = 8 => 4 pairs (_) * DURATION: 0:00:04.936559 START: 12:39:39.894257 END: 12:39:44.830816 2020-12-11 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:05.567666 START: 12:39:47.691763 END: 12:39:53.259429 2020-12-11 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00030063-2011_12-base-pr-002.dot * REASONING * PRF # F7: 4,5 # C7: 3,8 => SOL * STA # F7: 4,5 + C7: 3,8 * CNT 1 HDP CHAINS / 6 HYP OPENED
Header Info
30063;2011_12;GP;22;11.30;11.30;9.90
Solution
position: 987624153654139827312587496761948235239751684548362971893415762425876319176293548 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 # F7: 4,5 => UNS * INC # F7: 6,7 => UNS * INC # D3: 4,5 => UNS * INC # D3: 1,2,3,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F7: 4,5 => UNS * INC # F7: 6,7 => UNS * INC # D3: 4,5 => UNS * INC # D3: 1,2,3,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F7: 4,5 => UNS * INC # F7: 6,7 => UNS * INC # D3: 4,5 => UNS * INC # D3: 1,2,3,9 => UNS * PRF # F7: 4,5 # C7: 3,8 => SOL * STA # F7: 4,5 + C7: 3,8 * CNT 5 HDP CHAINS / 6 HYP OPENED