Analysis of xx-ph-00033515-2012_04-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6....7.5..9....6.9...8.....4...3......2..6..5.1.2.....3...4..1...8..85...6. initial
Autosolve
position: 98.7..6....7.5..9....6.9...8.....4.6.3......2..6..5.1.2.....3...4..1...8..85...6. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:20.381065
The following important HDP chains were detected:
* DIS # E6: 4,7 # D6: 2,9 => CTR => D6: 3,8 * PRF # E6: 4,7 + D6: 3,8 # E5: 4,7 => SOL * STA # E6: 4,7 + D6: 3,8 + E5: 4,7 * CNT 2 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6....7.5..9....6.9...8.....4...3......2..6..5.1.2.....3...4..1...8..85...6. | initial |
| 98.7..6....7.5..9....6.9...8.....4.6.3......2..6..5.1.2.....3...4..1...8..85...6. | autosolve |
| 982731645367254891154689237871392456539146782426875913215468379643917528798523164 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A6: 4,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,I6: 3.. / H4 = 3 => 2 pairs (_) / I6 = 3 => 3 pairs (_) A2,B2: 6.. / A2 = 6 => 2 pairs (_) / B2 = 6 => 1 pairs (_) E5,F5: 6.. / E5 = 6 => 1 pairs (_) / F5 = 6 => 1 pairs (_) B7,A8: 6.. / B7 = 6 => 2 pairs (_) / A8 = 6 => 1 pairs (_) A8,F8: 6.. / A8 = 6 => 1 pairs (_) / F8 = 6 => 2 pairs (_) A2,A8: 6.. / A2 = 6 => 2 pairs (_) / A8 = 6 => 1 pairs (_) B2,B7: 6.. / B2 = 6 => 1 pairs (_) / B7 = 6 => 2 pairs (_) E5,E7: 6.. / E5 = 6 => 1 pairs (_) / E7 = 6 => 1 pairs (_) H3,H5: 8.. / H3 = 8 => 3 pairs (_) / H5 = 8 => 2 pairs (_) * DURATION: 0:00:06.010208 START: 05:46:01.227783 END: 05:46:07.237991 2020-12-13 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:20.158339 START: 05:46:10.551546 END: 05:46:30.709885 2020-12-13 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00033515-2012_04-base-pr-002.dot * REASONING * DIS # E6: 4,7 # D6: 2,9 => CTR => D6: 3,8 * PRF # E6: 4,7 + D6: 3,8 # E5: 4,7 => SOL * STA # E6: 4,7 + D6: 3,8 + E5: 4,7 * CNT 2 HDP CHAINS / 30 HYP OPENED
Header Info
33515;2012_04;GP;24;11.30;1.20;1.20
Solution
position: 982731645367254891154689237871392456539146782426875913215468379643917528798523164 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 # A5: 4,7 => UNS * INC # A5: 1,5 => UNS * INC # E6: 4,7 => UNS * INC # E6: 2,3,8,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 4,7 => UNS * INC # A5: 1,5 => UNS * INC # E6: 4,7 => UNS * INC # E6: 2,3,8,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 4,7 => UNS * INC # A5: 1,5 => UNS * INC # E6: 4,7 => UNS * INC # E6: 2,3,8,9 => UNS * INC # A5: 4,7 # E5: 4,7 => UNS * INC # A5: 4,7 # F5: 4,7 => UNS * INC # A5: 4,7 # E6: 4,7 => UNS * INC # A5: 4,7 # E6: 2,3,8,9 => UNS * INC # A5: 4,7 # B4: 2,9 => UNS * INC # A5: 4,7 # C4: 2,9 => UNS * INC # A5: 4,7 # D6: 2,9 => UNS * INC # A5: 4,7 # E6: 2,9 => UNS * INC # A5: 4,7 # A2: 1,3 => UNS * INC # A5: 4,7 # A3: 1,3 => UNS * INC # A5: 4,7 => UNS * INC # A5: 1,5 # B4: 1,5 => UNS * INC # A5: 1,5 # C4: 1,5 => UNS * INC # A5: 1,5 # C5: 1,5 => UNS * INC # A5: 1,5 # A3: 1,5 => UNS * INC # A5: 1,5 # A3: 3,4 => UNS * INC # A5: 1,5 # E6: 4,7 => UNS * INC # A5: 1,5 # E6: 2,3,8,9 => UNS * INC # A5: 1,5 => UNS * INC # E6: 4,7 # A5: 4,7 => UNS * INC # E6: 4,7 # A5: 1,5 => UNS * INC # E6: 4,7 # B4: 2,9 => UNS * INC # E6: 4,7 # C4: 2,9 => UNS * DIS # E6: 4,7 # D6: 2,9 => CTR => D6: 3,8 * PRF # E6: 4,7 + D6: 3,8 # E5: 4,7 => SOL * STA # E6: 4,7 + D6: 3,8 + E5: 4,7 * CNT 29 HDP CHAINS / 30 HYP OPENED