Analysis of xx-ph-00417438-12_12_03-base.sdk
Contents
Original Sudoku
level: hard
position: .......12.....1..3...23.4....1..5....2.6...4.7....83.1..9...1...3..6...41...8.6.. initial
Autosolve
position: .......12.....1..3.1.23.4....1..5....2.61..4.7....83.1..9...1...3.16...41...8.6.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:47.724323
The following important HDP chains were detected:
* DIS # E6: 4,9 # C2: 5,6 => CTR => C2: 2,4,7,8 * DIS # E6: 4,9 + C2: 2,4,7,8 # F7: 3,7 => CTR => F7: 2,4 * PRF # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 2,4,9 => SOL * STA # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 + F9: 2,4,9 * CNT 3 HDP CHAINS / 62 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .......12.....1..3...23.4....1..5....2.6...4.7....83.1..9...1...3..6...41...8.6.. | initial |
| .......12.....1..3.1.23.4....1..5....2.61..4.7....83.1..9...1...3.16...41...8.6.. | autosolve |
| 483576912692841753517239486341725869928613547756498321269354178835167294174982635 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D6: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,C2: 2.. / A2 = 2 => 2 pairs (_) / C2 = 2 => 1 pairs (_) E4,E6: 2.. / E4 = 2 => 9 pairs (_) / E6 = 2 => 1 pairs (_) E6,H6: 2.. / E6 = 2 => 1 pairs (_) / H6 = 2 => 9 pairs (_) G4,G8: 2.. / G4 = 2 => 1 pairs (_) / G8 = 2 => 3 pairs (_) A1,C1: 3.. / A1 = 3 => 2 pairs (_) / C1 = 3 => 2 pairs (_) D4,F5: 3.. / D4 = 3 => 2 pairs (_) / F5 = 3 => 2 pairs (_) H7,H9: 3.. / H7 = 3 => 1 pairs (_) / H9 = 3 => 1 pairs (_) A4,D4: 3.. / A4 = 3 => 2 pairs (_) / D4 = 3 => 2 pairs (_) C1,C5: 3.. / C1 = 3 => 2 pairs (_) / C5 = 3 => 2 pairs (_) F1,F3: 6.. / F1 = 6 => 3 pairs (_) / F3 = 6 => 1 pairs (_) A7,B7: 6.. / A7 = 6 => 1 pairs (_) / B7 = 6 => 1 pairs (_) I3,I4: 6.. / I3 = 6 => 3 pairs (_) / I4 = 6 => 1 pairs (_) D1,D2: 8.. / D1 = 8 => 1 pairs (_) / D2 = 8 => 1 pairs (_) * DURATION: 0:00:09.653972 START: 09:35:19.075032 END: 09:35:28.729004 2020-12-26 * CP COUNT: (13) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:47.411672 START: 09:35:36.469574 END: 09:36:23.881246 2020-12-26 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00417438-12_12_03-base-pr-002.dot * REASONING * DIS # E6: 4,9 # C2: 5,6 => CTR => C2: 2,4,7,8 * DIS # E6: 4,9 + C2: 2,4,7,8 # F7: 3,7 => CTR => F7: 2,4 * PRF # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 2,4,9 => SOL * STA # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 + F9: 2,4,9 * CNT 3 HDP CHAINS / 62 HYP OPENED
Header Info
417438;12_12_03;dob;24;11.30;1.20;1.20
Solution
position: 483576912692841753517239486341725869928613547756498321269354178835167294174982635 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 # D4: 4,9 => UNS * INC # E4: 4,9 => UNS * INC # E6: 4,9 => UNS * INC # B6: 4,9 => UNS * INC # B6: 5,6 => UNS * INC # D1: 4,9 => UNS * INC # D2: 4,9 => UNS * INC # D9: 4,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D4: 4,9 => UNS * INC # E4: 4,9 => UNS * INC # E6: 4,9 => UNS * INC # B6: 4,9 => UNS * INC # B6: 5,6 => UNS * INC # D1: 4,9 => UNS * INC # D2: 4,9 => UNS * INC # D9: 4,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D4: 4,9 => UNS * INC # E4: 4,9 => UNS * INC # E6: 4,9 => UNS * INC # B6: 4,9 => UNS * INC # B6: 5,6 => UNS * INC # D1: 4,9 => UNS * INC # D2: 4,9 => UNS * INC # D9: 4,9 => UNS * INC # D4: 4,9 # F1: 6,7 => UNS * INC # D4: 4,9 # F1: 4 => UNS * INC # D4: 4,9 # C3: 6,7 => UNS * INC # D4: 4,9 # H3: 6,7 => UNS * INC # D4: 4,9 # I3: 6,7 => UNS * INC # D4: 4,9 # A5: 5,8 => UNS * INC # D4: 4,9 # A5: 9 => UNS * INC # D4: 4,9 # G5: 5,8 => UNS * INC # D4: 4,9 # I5: 5,8 => UNS * INC # D4: 4,9 # C2: 5,8 => UNS * INC # D4: 4,9 # C3: 5,8 => UNS * INC # D4: 4,9 # C8: 5,8 => UNS * INC # D4: 4,9 # B4: 4,9 => UNS * INC # D4: 4,9 # B4: 6,8 => UNS * INC # D4: 4,9 # B6: 4,9 => UNS * INC # D4: 4,9 # B6: 5,6 => UNS * INC # D4: 4,9 # A7: 4,5 => UNS * INC # D4: 4,9 # B7: 4,5 => UNS * INC # D4: 4,9 # E1: 4,5 => UNS * INC # D4: 4,9 # E2: 4,5 => UNS * INC # D4: 4,9 => UNS * INC # E4: 4,9 # D7: 3,7 => UNS * INC # E4: 4,9 # D9: 3,7 => UNS * INC # E4: 4,9 # A4: 4,9 => UNS * INC # E4: 4,9 # B4: 4,9 => UNS * INC # E4: 4,9 # E1: 4,9 => UNS * INC # E4: 4,9 # E2: 4,9 => UNS * INC # E4: 4,9 # F7: 3,7 => UNS * INC # E4: 4,9 # F9: 3,7 => UNS * INC # E4: 4,9 # B6: 4,9 => UNS * INC # E4: 4,9 # B6: 5,6 => UNS * INC # E4: 4,9 # D1: 4,9 => UNS * INC # E4: 4,9 # D2: 4,9 => UNS * INC # E4: 4,9 # D9: 4,9 => UNS * INC # E4: 4,9 => UNS * INC # E6: 4,9 # A4: 3,8 => UNS * INC # E6: 4,9 # A5: 3,8 => UNS * INC # E6: 4,9 # C1: 3,8 => UNS * INC # E6: 4,9 # C1: 4,5,6,7 => UNS * INC # E6: 4,9 # B1: 5,6 => UNS * INC # E6: 4,9 # B2: 5,6 => UNS * INC # E6: 4,9 # B7: 5,6 => UNS * INC # E6: 4,9 # C1: 5,6 => UNS * DIS # E6: 4,9 # C2: 5,6 => CTR => C2: 2,4,7,8 * INC # E6: 4,9 + C2: 2,4,7,8 # C3: 5,6 => UNS * INC # E6: 4,9 + C2: 2,4,7,8 # C1: 5,6 => UNS * INC # E6: 4,9 + C2: 2,4,7,8 # C3: 5,6 => UNS * INC # E6: 4,9 + C2: 2,4,7,8 # D7: 3,7 => UNS * INC # E6: 4,9 + C2: 2,4,7,8 # D9: 3,7 => UNS * DIS # E6: 4,9 + C2: 2,4,7,8 # F7: 3,7 => CTR => F7: 2,4 * INC # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 3,7 => UNS * INC # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 3,7 => UNS * PRF # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 # F9: 2,4,9 => SOL * STA # E6: 4,9 + C2: 2,4,7,8 + F7: 2,4 + F9: 2,4,9 * CNT 61 HDP CHAINS / 62 HYP OPENED