Analysis of xx-ph-00034770-12_05-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. initial
Autosolve
position: 98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:34.320716
The following important HDP chains were detected:
* PRF # B4: 5,9 # C4: 2,8 => SOL * STA # B4: 5,9 + C4: 2,8 * CNT 1 HDP CHAINS / 55 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. | initial |
| 98.7.....6..5..8....4.8..9.4...6..3..6....2....3..5..1.4..3..8....1....2.....87.. | autosolve |
| 985713624612549873374682195458261937169374258723895461241937586897156342536428719 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G4: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,H9: 1.. / G7 = 1 => 3 pairs (_) / H9 = 1 => 1 pairs (_) H1,H2: 2.. / H1 = 2 => 3 pairs (_) / H2 = 2 => 2 pairs (_) D5,F5: 3.. / D5 = 3 => 2 pairs (_) / F5 = 3 => 2 pairs (_) G8,I9: 3.. / G8 = 3 => 1 pairs (_) / I9 = 3 => 2 pairs (_) D3,D5: 3.. / D3 = 3 => 2 pairs (_) / D5 = 3 => 2 pairs (_) E8,E9: 5.. / E8 = 5 => 2 pairs (_) / E9 = 5 => 1 pairs (_) G6,H6: 6.. / G6 = 6 => 2 pairs (_) / H6 = 6 => 3 pairs (_) I4,I5: 8.. / I4 = 8 => 2 pairs (_) / I5 = 8 => 1 pairs (_) A8,C8: 8.. / A8 = 8 => 3 pairs (_) / C8 = 8 => 1 pairs (_) A6,D6: 8.. / A6 = 8 => 1 pairs (_) / D6 = 8 => 3 pairs (_) E2,F2: 9.. / E2 = 9 => 1 pairs (_) / F2 = 9 => 1 pairs (_) * DURATION: 0:00:06.764063 START: 04:06:56.121838 END: 04:07:02.885901 2020-12-15 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:34.049141 START: 04:07:07.700116 END: 04:07:41.749257 2020-12-15 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00034770-12_05-base-pr-002.dot * REASONING * PRF # B4: 5,9 # C4: 2,8 => SOL * STA # B4: 5,9 + C4: 2,8 * CNT 1 HDP CHAINS / 55 HYP OPENED
Header Info
34770;12_05;GP;24;11.30;11.30;10.70
Solution
position: 985713624612549873374682195458261937169374258723895461241937586897156342536428719 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 # I4: 5,9 => UNS * INC # I5: 5,9 => UNS * INC # B4: 5,9 => UNS * INC # C4: 5,9 => UNS * INC # G7: 5,9 => UNS * INC # G8: 5,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 5,9 => UNS * INC # I5: 5,9 => UNS * INC # B4: 5,9 => UNS * INC # C4: 5,9 => UNS * INC # G7: 5,9 => UNS * INC # G8: 5,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 5,9 => UNS * INC # I5: 5,9 => UNS * INC # B4: 5,9 => UNS * INC # C4: 5,9 => UNS * INC # G7: 5,9 => UNS * INC # G8: 5,9 => UNS * INC # I4: 5,9 # D6: 2,8 => UNS * INC # I4: 5,9 # D6: 4,9 => UNS * INC # I4: 5,9 # C4: 2,8 => UNS * INC # I4: 5,9 # C4: 1,7 => UNS * INC # I4: 5,9 # G7: 5,9 => UNS * INC # I4: 5,9 # G8: 5,9 => UNS * INC # I4: 5,9 # I7: 5,9 => UNS * INC # I4: 5,9 # I9: 5,9 => UNS * INC # I4: 5,9 # H6: 4,7 => UNS * INC # I4: 5,9 # H6: 6 => UNS * INC # I4: 5,9 # E5: 4,7 => UNS * INC # I4: 5,9 # F5: 4,7 => UNS * INC # I4: 5,9 # H6: 4,6 => UNS * INC # I4: 5,9 # H6: 7 => UNS * INC # I4: 5,9 # G1: 4,6 => UNS * INC # I4: 5,9 # G8: 4,6 => UNS * INC # I4: 5,9 => UNS * INC # I5: 5,9 # F4: 2,9 => UNS * INC # I5: 5,9 # D6: 2,9 => UNS * INC # I5: 5,9 # E6: 2,9 => UNS * INC # I5: 5,9 # B4: 2,9 => UNS * INC # I5: 5,9 # C4: 2,9 => UNS * INC # I5: 5,9 # D7: 2,9 => UNS * INC # I5: 5,9 # D9: 2,9 => UNS * INC # I5: 5,9 # B4: 5,9 => UNS * INC # I5: 5,9 # C4: 5,9 => UNS * INC # I5: 5,9 # G7: 5,9 => UNS * INC # I5: 5,9 # G8: 5,9 => UNS * INC # I5: 5,9 # H6: 4,7 => UNS * INC # I5: 5,9 # H6: 6 => UNS * INC # I5: 5,9 # E5: 4,7 => UNS * INC # I5: 5,9 # F5: 4,7 => UNS * INC # I5: 5,9 # C5: 5,9 => UNS * INC # I5: 5,9 # C5: 1,7,8 => UNS * INC # I5: 5,9 # I7: 5,9 => UNS * INC # I5: 5,9 # I9: 5,9 => UNS * INC # I5: 5,9 # H6: 4,6 => UNS * INC # I5: 5,9 # H6: 7 => UNS * INC # I5: 5,9 # G1: 4,6 => UNS * INC # I5: 5,9 # G8: 4,6 => UNS * INC # I5: 5,9 => UNS * INC # B4: 5,9 # C5: 5,9 => UNS * INC # B4: 5,9 # C5: 1,7,8 => UNS * INC # B4: 5,9 # B8: 5,9 => UNS * INC # B4: 5,9 # B9: 5,9 => UNS * INC # B4: 5,9 # D6: 2,8 => UNS * INC # B4: 5,9 # D6: 4,9 => UNS * PRF # B4: 5,9 # C4: 2,8 => SOL * STA # B4: 5,9 + C4: 2,8 * CNT 54 HDP CHAINS / 55 HYP OPENED