Analysis of xx-ph-00000067-L6-base.sdk
Contents
Original Sudoku
level: hard
position: 1....6.8..5....2....9.....4.....86.33...7........1..7..4.9.....8....7.6...2...5.. initial
Autosolve
position: 1....6.8..5....2.6..9.....4.....86.33...7........1..7..4.9.....8....7.6...2...5.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:21.265637
The following important HDP chains were detected:
* PRF # C2: 4,7 # B9: 6,9 => SOL * STA # C2: 4,7 + B9: 6,9 * CNT 1 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1....6.8..5....2....9.....4.....86.33...7........1..7..4.9.....8....7.6...2...5.. | initial |
| 1....6.8..5....2.6..9.....4.....86.33...7........1..7..4.9.....8....7.6...2...5.. | autosolve |
| 123456789457189236689723154274598613318672495596314872741965328835247961962831547 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A2: 4,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D6,F6: 3.. / D6 = 3 => 1 pairs (_) / F6 = 3 => 2 pairs (_) G8,H9: 4.. / G8 = 4 => 2 pairs (_) / H9 = 4 => 2 pairs (_) I1,H3: 5.. / I1 = 5 => 2 pairs (_) / H3 = 5 => 2 pairs (_) A3,B3: 6.. / A3 = 6 => 3 pairs (_) / B3 = 6 => 3 pairs (_) D5,D6: 6.. / D5 = 6 => 1 pairs (_) / D6 = 6 => 2 pairs (_) E7,E9: 6.. / E7 = 6 => 2 pairs (_) / E9 = 6 => 2 pairs (_) C2,B3: 8.. / C2 = 8 => 1 pairs (_) / B3 = 8 => 5 pairs (_) * DURATION: 0:00:04.445777 START: 08:16:47.423134 END: 08:16:51.868911 2020-09-22 * CP COUNT: (7) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:21.091299 START: 08:16:56.555084 END: 08:17:17.646383 2020-09-22 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000067-L6-base-pr-002.dot * REASONING * PRF # C2: 4,7 # B9: 6,9 => SOL * STA # C2: 4,7 + B9: 6,9 * CNT 1 HDP CHAINS / 37 HYP OPENED
Header Info
67;L6;elev;21;11.70;1.20;1.20
Solution
position: 123456789457189236689723154274598613318672495596314872741965328835247961962831547 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 # C1: 4,7 => UNS * INC # C2: 4,7 => UNS * INC # D2: 4,7 => UNS * INC # D2: 1,3,8 => UNS * INC # A4: 4,7 => UNS * INC # A4: 2,5,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 4,7 => UNS * INC # C2: 4,7 => UNS * INC # D2: 4,7 => UNS * INC # D2: 1,3,8 => UNS * INC # A4: 4,7 => UNS * INC # A4: 2,5,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 4,7 => UNS * INC # C2: 4,7 => UNS * INC # D2: 4,7 => UNS * INC # D2: 1,3,8 => UNS * INC # A4: 4,7 => UNS * INC # A4: 2,5,9 => UNS * INC # C1: 4,7 # B3: 2,3 => UNS * INC # C1: 4,7 # B3: 6,8 => UNS * INC # C1: 4,7 # D1: 2,3 => UNS * INC # C1: 4,7 # E1: 2,3 => UNS * INC # C1: 4,7 # D1: 4,7 => UNS * INC # C1: 4,7 # D1: 2,3,5 => UNS * INC # C1: 4,7 # C4: 4,7 => UNS * INC # C1: 4,7 # C4: 1,5 => UNS * INC # C1: 4,7 # D2: 4,7 => UNS * INC # C1: 4,7 # D2: 1,3,8 => UNS * INC # C1: 4,7 # A4: 4,7 => UNS * INC # C1: 4,7 # A4: 2,5,9 => UNS * INC # C1: 4,7 # B3: 3,8 => UNS * INC # C1: 4,7 # B3: 2,6 => UNS * INC # C1: 4,7 # D2: 3,8 => UNS * INC # C1: 4,7 # E2: 3,8 => UNS * INC # C1: 4,7 # B3: 2,6 => UNS * INC # C1: 4,7 # B3: 3,8 => UNS * INC # C1: 4,7 # A6: 2,6 => UNS * INC # C1: 4,7 # A6: 4,5,9 => UNS * INC # C1: 4,7 => UNS * INC # C2: 4,7 # A4: 4,7 => UNS * INC # C2: 4,7 # A4: 2,5,9 => UNS * INC # C2: 4,7 # C4: 4,7 => UNS * INC # C2: 4,7 # C4: 1,5 => UNS * INC # C2: 4,7 # I1: 7,9 => UNS * INC # C2: 4,7 # I1: 5 => UNS * INC # C2: 4,7 # B5: 6,9 => UNS * INC # C2: 4,7 # B5: 1 => UNS * PRF # C2: 4,7 # B9: 6,9 => SOL * STA # C2: 4,7 + B9: 6,9 * CNT 36 HDP CHAINS / 37 HYP OPENED