Analysis of xx-ph-00000096-49-base.sdk
Contents
Original Sudoku
level: hard
position: ..3.5...9...1..........2....7...1.6.5........9.8.3.4.....2...7...5...8.48...4...3 initial
Autosolve
position: ..3.5...9...1..........2....7...1.6.5........9.8.3.4.....2...7...5...8.48...4...3 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.368885
The following important HDP chains were detected:
* DIS # A4: 2,4 # C9: 1,6 => CTR => C9: 2,7,9 * PRF # A4: 2,4 + C9: 2,7,9 # D4: 5 => SOL * STA # A4: 2,4 + C9: 2,7,9 + D4: 5 * CNT 2 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..3.5...9...1..........2....7...1.6.5........9.8.3.4.....2...7...5...8.48...4...3 | initial |
| ..3.5...9...1..........2....7...1.6.5........9.8.3.4.....2...7...5...8.48...4...3 | autosolve |
| 123456789457189236689372541274591368536824197918637452341268975765913824892745613 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C4: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E7,E8: 1.. / E7 = 1 => 2 pairs (_) / E8 = 1 => 2 pairs (_) E4,E5: 2.. / E4 = 2 => 2 pairs (_) / E5 = 2 => 2 pairs (_) F2,D3: 3.. / F2 = 3 => 1 pairs (_) / D3 = 3 => 1 pairs (_) A4,B5: 3.. / A4 = 3 => 1 pairs (_) / B5 = 3 => 6 pairs (_) A4,G4: 3.. / A4 = 3 => 1 pairs (_) / G4 = 3 => 6 pairs (_) D3,D8: 3.. / D3 = 3 => 1 pairs (_) / D8 = 3 => 1 pairs (_) B2,B3: 5.. / B2 = 5 => 1 pairs (_) / B3 = 5 => 1 pairs (_) A8,C9: 7.. / A8 = 7 => 1 pairs (_) / C9 = 7 => 1 pairs (_) E7,F7: 8.. / E7 = 8 => 3 pairs (_) / F7 = 8 => 1 pairs (_) * DURATION: 0:00:06.118211 START: 02:06:45.271476 END: 02:06:51.389687 2020-09-23 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:23.252226 START: 02:06:56.060536 END: 02:07:19.312762 2020-09-23 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000096-49-base-pr-002.dot * REASONING * DIS # A4: 2,4 # C9: 1,6 => CTR => C9: 2,7,9 * PRF # A4: 2,4 + C9: 2,7,9 # D4: 5 => SOL * STA # A4: 2,4 + C9: 2,7,9 + D4: 5 * CNT 2 HDP CHAINS / 22 HYP OPENED
Header Info
96;49;elev;21;11.60;11.60;8.00
Solution
position: 123456789457189236689372541274591368536824197918637452341268975765913824892745613 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 # A4: 2,4 => UNS * INC # B5: 2,4 => UNS * INC # C5: 2,4 => UNS * INC # C2: 2,4 => UNS * INC # C2: 6,7,9 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A4: 2,4 => UNS * INC # B5: 2,4 => UNS * INC # C5: 2,4 => UNS * INC # C2: 2,4 => UNS * INC # C2: 6,7,9 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A4: 2,4 => UNS * INC # B5: 2,4 => UNS * INC # C5: 2,4 => UNS * INC # C2: 2,4 => UNS * INC # C2: 6,7,9 => UNS * INC # A4: 2,4 # A1: 2,4 => UNS * INC # A4: 2,4 # A2: 2,4 => UNS * INC # A4: 2,4 # C2: 2,4 => UNS * INC # A4: 2,4 # C2: 6,7,9 => UNS * INC # A4: 2,4 # C3: 1,6 => UNS * INC # A4: 2,4 # C7: 1,6 => UNS * DIS # A4: 2,4 # C9: 1,6 => CTR => C9: 2,7,9 * INC # A4: 2,4 + C9: 2,7,9 # C3: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # C7: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # B1: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # B3: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # B7: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # B8: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # B9: 1,6 => UNS * INC # A4: 2,4 + C9: 2,7,9 # D4: 8,9 => UNS * PRF # A4: 2,4 + C9: 2,7,9 # D4: 5 => SOL * STA # A4: 2,4 + C9: 2,7,9 + D4: 5 * CNT 21 HDP CHAINS / 22 HYP OPENED