Analysis of xx-ph-00041719-12_07-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. initial
Autosolve
position: 98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:17.602037
The following important HDP chains were detected:
* PRF # H4: 3,7 # I5: 1,2 => SOL * STA # H4: 3,7 + I5: 1,2 * CNT 1 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. | initial |
| 98.7..6..75.....9...6......4...86.....59...8......3..4.2....1.3..73...5.....1.2.. | autosolve |
| 982734615754261398316895427471586932635942781298173564829657143147329856563418279 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G5: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 2 pairs (_) / B8 = 1 => 3 pairs (_) E8,F8: 2.. / E8 = 2 => 3 pairs (_) / F8 = 2 => 1 pairs (_) E5,F5: 4.. / E5 = 4 => 1 pairs (_) / F5 = 4 => 2 pairs (_) A7,A9: 5.. / A7 = 5 => 1 pairs (_) / A9 = 5 => 2 pairs (_) D2,E2: 6.. / D2 = 6 => 1 pairs (_) / E2 = 6 => 1 pairs (_) I5,H6: 6.. / I5 = 6 => 2 pairs (_) / H6 = 6 => 4 pairs (_) A6,C6: 8.. / A6 = 8 => 3 pairs (_) / C6 = 8 => 2 pairs (_) E3,F3: 9.. / E3 = 9 => 1 pairs (_) / F3 = 9 => 1 pairs (_) * DURATION: 0:00:04.665780 START: 23:11:06.803668 END: 23:11:11.469448 2020-09-30 * CP COUNT: (8) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:17.444474 START: 23:11:16.088608 END: 23:11:33.533082 2020-09-30 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00041719-12_07-base-pr-002.dot * REASONING * PRF # H4: 3,7 # I5: 1,2 => SOL * STA # H4: 3,7 + I5: 1,2 * CNT 1 HDP CHAINS / 29 HYP OPENED
Header Info
41719;12_07;GP;24;11.50;11.50;9.50
Solution
position: 982734615754261398316895427471586932635942781298173564829657143147329856563418279 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 # G4: 3,7 => UNS * INC # H4: 3,7 => UNS * INC # B5: 3,7 => UNS * INC # B5: 1,6 => UNS * INC # G3: 3,7 => UNS * INC # G3: 4,5,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G4: 3,7 => UNS * INC # H4: 3,7 => UNS * INC # B5: 3,7 => UNS * INC # B5: 1,6 => UNS * INC # G3: 3,7 => UNS * INC # G3: 4,5,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G4: 3,7 => UNS * INC # H4: 3,7 => UNS * INC # B5: 3,7 => UNS * INC # B5: 1,6 => UNS * INC # G3: 3,7 => UNS * INC # G3: 4,5,8 => UNS * INC # G4: 3,7 # G3: 4,8 => UNS * INC # G4: 3,7 # G3: 5 => UNS * INC # G4: 3,7 # D2: 4,8 => UNS * INC # G4: 3,7 # F2: 4,8 => UNS * INC # G4: 3,7 # G8: 4,8 => UNS * INC # G4: 3,7 # G8: 9 => UNS * INC # G4: 3,7 # B4: 3,7 => UNS * INC # G4: 3,7 # B4: 1,9 => UNS * INC # G4: 3,7 # I5: 1,2 => UNS * INC # G4: 3,7 # H6: 1,2 => UNS * INC # G4: 3,7 # C4: 1,2 => UNS * INC # G4: 3,7 # D4: 1,2 => UNS * INC # G4: 3,7 # H1: 1,2 => UNS * INC # G4: 3,7 # H3: 1,2 => UNS * INC # G4: 3,7 # B5: 3,7 => UNS * INC # G4: 3,7 # B5: 1,6 => UNS * INC # G4: 3,7 => UNS * INC # H4: 3,7 # B4: 3,7 => UNS * INC # H4: 3,7 # B4: 1,9 => UNS * INC # H4: 3,7 # H3: 3,7 => UNS * INC # H4: 3,7 # H3: 1,2,4 => UNS * PRF # H4: 3,7 # I5: 1,2 => SOL * STA # H4: 3,7 + I5: 1,2 * CNT 28 HDP CHAINS / 29 HYP OPENED