Analysis of xx-ph-00721932-12_12_19-base.sdk
Contents
Original Sudoku
level: hard
position: ........1.....2.3..23.4.5.....45.......6...7..65..34...342..6..8......5.9.6.3.... initial
Autosolve
position: ...3....1.....2.3..23.4.5.....45.......6...75.65..34...342..6..8.2....5.9.6.3.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:40.728318
The following important HDP chains were detected:
* DIS # B9: 1,7 # F8: 1,7 => CTR => F8: 4,6,9 * PRF # E8: 1,7 # I2: 8,9 => SOL * STA # E8: 1,7 + I2: 8,9 * CNT 2 HDP CHAINS / 79 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........1.....2.3..23.4.5.....45.......6...7..65..34...342..6..8......5.9.6.3.... | initial |
| ...3....1.....2.3..23.4.5.....45.......6...75.65..34...342..6..8.2....5.9.6.3.... | autosolve |
| 697385241458162739123749586281457963349621875765893412534218697812976354976534128 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B8: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,H1: 2.. / G1 = 2 => 1 pairs (_) / H1 = 2 => 4 pairs (_) E5,E6: 2.. / E5 = 2 => 1 pairs (_) / E6 = 2 => 6 pairs (_) A4,A5: 3.. / A4 = 3 => 2 pairs (_) / A5 = 3 => 1 pairs (_) G8,I8: 3.. / G8 = 3 => 2 pairs (_) / I8 = 3 => 1 pairs (_) A5,G5: 3.. / A5 = 3 => 1 pairs (_) / G5 = 3 => 2 pairs (_) I4,I8: 3.. / I4 = 3 => 2 pairs (_) / I8 = 3 => 1 pairs (_) H1,I2: 4.. / H1 = 4 => 1 pairs (_) / I2 = 4 => 2 pairs (_) A5,B5: 4.. / A5 = 4 => 2 pairs (_) / B5 = 4 => 1 pairs (_) F8,F9: 4.. / F8 = 4 => 1 pairs (_) / F9 = 4 => 3 pairs (_) F8,I8: 4.. / F8 = 4 => 1 pairs (_) / I8 = 4 => 3 pairs (_) H1,H9: 4.. / H1 = 4 => 1 pairs (_) / H9 = 4 => 2 pairs (_) F1,D2: 5.. / F1 = 5 => 3 pairs (_) / D2 = 5 => 1 pairs (_) A7,B9: 5.. / A7 = 5 => 3 pairs (_) / B9 = 5 => 2 pairs (_) A7,F7: 5.. / A7 = 5 => 3 pairs (_) / F7 = 5 => 2 pairs (_) D2,D9: 5.. / D2 = 5 => 1 pairs (_) / D9 = 5 => 3 pairs (_) H4,I4: 6.. / H4 = 6 => 2 pairs (_) / I4 = 6 => 2 pairs (_) E8,F8: 6.. / E8 = 6 => 1 pairs (_) / F8 = 6 => 3 pairs (_) * DURATION: 0:00:12.394222 START: 21:34:50.537523 END: 21:35:02.931745 2020-12-30 * CP COUNT: (17) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:40.427118 START: 21:35:10.190432 END: 21:35:50.617550 2020-12-30 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00721932-12_12_19-base-pr-002.dot * REASONING * DIS # B9: 1,7 # F8: 1,7 => CTR => F8: 4,6,9 * PRF # E8: 1,7 # I2: 8,9 => SOL * STA # E8: 1,7 + I2: 8,9 * CNT 2 HDP CHAINS / 79 HYP OPENED
Header Info
721932;12_12_19;dob;24;11.30;1.20;1.20
Solution
position: 697385241458162739123749586281457963349621875765893412534218697812976354976534128 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 # A7: 1,7 => UNS * INC # B9: 1,7 => UNS * INC # D8: 1,7 => UNS * INC # E8: 1,7 => UNS * INC # F8: 1,7 => UNS * INC # G8: 1,7 => UNS * INC # B2: 1,7 => UNS * INC # B4: 1,7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 1,7 => UNS * INC # B9: 1,7 => UNS * INC # D8: 1,7 => UNS * INC # E8: 1,7 => UNS * INC # F8: 1,7 => UNS * INC # G8: 1,7 => UNS * INC # B2: 1,7 => UNS * INC # B4: 1,7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 1,7 => UNS * INC # B9: 1,7 => UNS * INC # D8: 1,7 => UNS * INC # E8: 1,7 => UNS * INC # F8: 1,7 => UNS * INC # G8: 1,7 => UNS * INC # B2: 1,7 => UNS * INC # B4: 1,7 => UNS * INC # A7: 1,7 # E7: 1,7 => UNS * INC # A7: 1,7 # E7: 8,9 => UNS * INC # A7: 1,7 # A2: 1,7 => UNS * INC # A7: 1,7 # A3: 1,7 => UNS * INC # A7: 1,7 # A4: 1,7 => UNS * INC # A7: 1,7 # A6: 1,7 => UNS * INC # A7: 1,7 # D8: 1,7 => UNS * INC # A7: 1,7 # E8: 1,7 => UNS * INC # A7: 1,7 # F8: 1,7 => UNS * INC # A7: 1,7 # G8: 1,7 => UNS * INC # A7: 1,7 # B2: 1,7 => UNS * INC # A7: 1,7 # B4: 1,7 => UNS * INC # A7: 1,7 => UNS * INC # B9: 1,7 # C4: 8,9 => UNS * INC # B9: 1,7 # B5: 8,9 => UNS * INC # B9: 1,7 # C5: 8,9 => UNS * INC # B9: 1,7 # F4: 8,9 => UNS * INC # B9: 1,7 # G4: 8,9 => UNS * INC # B9: 1,7 # H4: 8,9 => UNS * INC # B9: 1,7 # I4: 8,9 => UNS * INC # B9: 1,7 # B1: 8,9 => UNS * INC # B9: 1,7 # B2: 8,9 => UNS * INC # B9: 1,7 # D8: 1,7 => UNS * INC # B9: 1,7 # E8: 1,7 => UNS * DIS # B9: 1,7 # F8: 1,7 => CTR => F8: 4,6,9 * INC # B9: 1,7 + F8: 4,6,9 # G8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # D8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # E8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # G8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # D9: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # F9: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # G9: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # C4: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # B5: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # C5: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # F4: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # G4: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # H4: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # I4: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # B1: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # B2: 8,9 => UNS * INC # B9: 1,7 + F8: 4,6,9 # D8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # E8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # G8: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # D9: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # F9: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 # G9: 1,7 => UNS * INC # B9: 1,7 + F8: 4,6,9 => UNS * INC # D8: 1,7 # A7: 1,7 => UNS * INC # D8: 1,7 # B9: 1,7 => UNS * INC # D8: 1,7 # B2: 1,7 => UNS * INC # D8: 1,7 # B4: 1,7 => UNS * INC # D8: 1,7 # E7: 1,7 => UNS * INC # D8: 1,7 # F7: 1,7 => UNS * INC # D8: 1,7 # D9: 1,7 => UNS * INC # D8: 1,7 # F9: 1,7 => UNS * INC # D8: 1,7 # D2: 1,7 => UNS * INC # D8: 1,7 # D3: 1,7 => UNS * INC # D8: 1,7 # D6: 1,7 => UNS * INC # D8: 1,7 # F8: 6,9 => UNS * INC # D8: 1,7 # F8: 4 => UNS * INC # D8: 1,7 # E1: 6,9 => UNS * INC # D8: 1,7 # E2: 6,9 => UNS * INC # D8: 1,7 # I8: 3,9 => UNS * INC # D8: 1,7 # I8: 4 => UNS * INC # D8: 1,7 # G4: 3,9 => UNS * INC # D8: 1,7 # G5: 3,9 => UNS * INC # D8: 1,7 => UNS * INC # E8: 1,7 # G2: 8,9 => UNS * PRF # E8: 1,7 # I2: 8,9 => SOL * STA # E8: 1,7 + I2: 8,9 * CNT 78 HDP CHAINS / 79 HYP OPENED