Analysis of xx-ph-00973729-13_03-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6....5.9..8....4....55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. initial
Autosolve
position: 98.7..6....5.9..8....4.8..55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.056826
The following important HDP chains were detected:
* DIS # D9: 6,9 # D7: 5 => CTR => D7: 2,8 * PRF # D9: 6,9 + D7: 2,8 # B6: 1,4 => SOL * STA # D9: 6,9 + D7: 2,8 + B6: 1,4 * CNT 2 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6....5.9..8....4....55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. | initial |
| 98.7..6....5.9..8....4.8..55...8..6..3...2..9..6..7...1.3..4....5..3..1.......2.. | autosolve |
| 984753621725196384361428975549381762837562149216947538193274856652839417478615293 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F8: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,A3: 3.. / A2 = 3 => 7 pairs (_) / A3 = 3 => 1 pairs (_) H9,I9: 3.. / H9 = 3 => 2 pairs (_) / I9 = 3 => 1 pairs (_) E5,E6: 4.. / E5 = 4 => 4 pairs (_) / E6 = 4 => 2 pairs (_) E1,F1: 5.. / E1 = 5 => 3 pairs (_) / F1 = 5 => 2 pairs (_) F1,F9: 5.. / F1 = 5 => 2 pairs (_) / F9 = 5 => 3 pairs (_) D5,E5: 6.. / D5 = 6 => 1 pairs (_) / E5 = 6 => 4 pairs (_) E7,E9: 7.. / E7 = 7 => 3 pairs (_) / E9 = 7 => 1 pairs (_) G3,H3: 9.. / G3 = 9 => 1 pairs (_) / H3 = 9 => 2 pairs (_) B6,D6: 9.. / B6 = 9 => 1 pairs (_) / D6 = 9 => 6 pairs (_) * DURATION: 0:00:05.481830 START: 01:56:38.704757 END: 01:56:44.186587 2021-01-04 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:22.893016 START: 01:56:47.556814 END: 01:57:10.449830 2021-01-04 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00973729-13_03-base-pr-002.dot * REASONING * DIS # D9: 6,9 # D7: 5 => CTR => D7: 2,8 * PRF # D9: 6,9 + D7: 2,8 # B6: 1,4 => SOL * STA # D9: 6,9 + D7: 2,8 + B6: 1,4 * CNT 2 HDP CHAINS / 32 HYP OPENED
Header Info
973729;13_03;GP;24;11.30;1.20;1.20
Solution
position: 984753621725196384361428975549381762837562149216947538193274856652839417478615293 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 # D7: 6,9 => UNS * INC # D8: 6,9 => UNS * INC # D9: 6,9 => UNS * INC # F9: 6,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 6,9 => UNS * INC # D8: 6,9 => UNS * INC # D9: 6,9 => UNS * INC # F9: 6,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 6,9 => UNS * INC # D8: 6,9 => UNS * INC # D9: 6,9 => UNS * INC # F9: 6,9 => UNS * INC # D7: 6,9 # B7: 6,9 => UNS * INC # D7: 6,9 # B7: 2,7 => UNS * INC # D7: 6,9 # A8: 2,8 => UNS * INC # D7: 6,9 # C8: 2,8 => UNS * INC # D7: 6,9 # D9: 1,5 => UNS * INC # D7: 6,9 # E9: 1,5 => UNS * INC # D7: 6,9 # F1: 1,5 => UNS * INC # D7: 6,9 # F1: 3 => UNS * INC # D7: 6,9 => UNS * INC # D8: 6,9 # D9: 1,5 => UNS * INC # D8: 6,9 # E9: 1,5 => UNS * INC # D8: 6,9 # F1: 1,5 => UNS * INC # D8: 6,9 # F1: 3 => UNS * INC # D8: 6,9 => UNS * INC # D9: 6,9 # D7: 2,8 => UNS * DIS # D9: 6,9 # D7: 5 => CTR => D7: 2,8 * INC # D9: 6,9 + D7: 2,8 # A8: 2,8 => UNS * INC # D9: 6,9 + D7: 2,8 # C8: 2,8 => UNS * INC # D9: 6,9 + D7: 2,8 # B9: 6,9 => UNS * INC # D9: 6,9 + D7: 2,8 # B9: 4,7 => UNS * INC # D9: 6,9 + D7: 2,8 # E9: 1,5 => UNS * INC # D9: 6,9 + D7: 2,8 # E9: 7 => UNS * INC # D9: 6,9 + D7: 2,8 # F1: 1,5 => UNS * INC # D9: 6,9 + D7: 2,8 # F1: 3 => UNS * INC # D9: 6,9 + D7: 2,8 # E5: 1,4 => UNS * INC # D9: 6,9 + D7: 2,8 # E5: 6 => UNS * PRF # D9: 6,9 + D7: 2,8 # B6: 1,4 => SOL * STA # D9: 6,9 + D7: 2,8 + B6: 1,4 * CNT 31 HDP CHAINS / 32 HYP OPENED