Analysis of xx-ph-00038665-12_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....7...6.9....5..4...6.........9..8.6.........32.7..1.8....3.....4.....2.5. initial
Autosolve
position: 98.7.....7...6.9....5..4...6.........9..8.6.........32.7..1.8....3.....4.....2.5. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000015
List of important HDP chains detected for D3,E3: 9..:
* DIS # D3: 9 # G3: 2,3 => CTR => G3: 1,7 * DIS # D3: 9 + G3: 1,7 # I3: 1,7 => CTR => I3: 3,6,8 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 # G4: 1,7 => CTR => G4: 4,5 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 # G6: 1,7 => CTR => G6: 4,5 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 # H3: 1,7 => CTR => H3: 2,6,8 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 + H3: 2,6,8 => CTR => D3: 1,2,3,8 * STA D3: 1,2,3,8 * CNT 6 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for C6,C9: 8..:
* DIS # C9: 8 # H8: 2,6 => CTR => H8: 1,7,9 * DIS # C9: 8 + H8: 1,7,9 # H3: 1,7,8 => CTR => H3: 2,6 * DIS # C9: 8 + H8: 1,7,9 + H3: 2,6 # I9: 3,6 => CTR => I9: 1,7,9 * DIS # C9: 8 + H8: 1,7,9 + H3: 2,6 + I9: 1,7,9 => CTR => C9: 1,4,6,9 * STA C9: 1,4,6,9 * CNT 4 HDP CHAINS / 10 HYP OPENED
List of important HDP chains detected for A6,C6: 8..:
* DIS # A6: 8 # H8: 2,6 => CTR => H8: 1,7,9 * DIS # A6: 8 + H8: 1,7,9 # H3: 1,7,8 => CTR => H3: 2,6 * DIS # A6: 8 + H8: 1,7,9 + H3: 2,6 # I9: 3,6 => CTR => I9: 1,7,9 * DIS # A6: 8 + H8: 1,7,9 + H3: 2,6 + I9: 1,7,9 => CTR => A6: 1,4,5 * STA A6: 1,4,5 * CNT 4 HDP CHAINS / 10 HYP OPENED
List of important HDP chains detected for C1,B3: 6..:
* DIS # B3: 6 # D7: 6,9 => CTR => D7: 3,4,5 * PRF # B3: 6 + D7: 3,4,5 # F7: 6,9 => SOL * STA # B3: 6 + D7: 3,4,5 + F7: 6,9 * CNT 2 HDP CHAINS / 3 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7.....7...6.9....5..4...6.........9..8.6.........32.7..1.8....3.....4.....2.5. | initial |
| 98.7.....7...6.9....5..4...6.........9..8.6.........32.7..1.8....3.....4.....2.5. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) H4: 8,9 I4: 8,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,A5: 3.. / B4 = 3 => 3 pairs (_) / A5 = 3 => 3 pairs (_) A3,A5: 3.. / A3 = 3 => 3 pairs (_) / A5 = 3 => 3 pairs (_) C1,B3: 6.. / C1 = 6 => 2 pairs (_) / B3 = 6 => 5 pairs (_) D6,F6: 6.. / D6 = 6 => 2 pairs (_) / F6 = 6 => 3 pairs (_) A6,C6: 8.. / A6 = 8 => 5 pairs (_) / C6 = 8 => 2 pairs (_) H4,I4: 8.. / H4 = 8 => 1 pairs (_) / I4 = 8 => 1 pairs (_) C6,C9: 8.. / C6 = 8 => 2 pairs (_) / C9 = 8 => 5 pairs (_) F2,F8: 8.. / F2 = 8 => 2 pairs (_) / F8 = 8 => 4 pairs (_) D3,E3: 9.. / D3 = 9 => 3 pairs (_) / E3 = 9 => 5 pairs (_) H4,I4: 9.. / H4 = 9 => 1 pairs (_) / I4 = 9 => 1 pairs (_) C7,C9: 9.. / C7 = 9 => 4 pairs (_) / C9 = 9 => 2 pairs (_) * DURATION: 0:00:07.258092 START: 15:38:39.332981 END: 15:38:46.591073 2020-12-17 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D3,E3: 9.. / D3 = 9 ==> 0 pairs (X) / E3 = 9 ==> 5 pairs (_) C6,C9: 8.. / C6 = 8 => 2 pairs (_) / C9 = 8 ==> 0 pairs (X) A6,C6: 8.. / A6 = 8 ==> 0 pairs (X) / C6 = 8 => 2 pairs (_) C1,B3: 6.. / C1 = 6 => 0 pairs (X) / B3 = 6 ==> 0 pairs (*) * DURATION: 0:00:41.855018 START: 15:38:47.281228 END: 15:39:29.136246 2020-12-17 * REASONING D3,E3: 9.. * DIS # D3: 9 # G3: 2,3 => CTR => G3: 1,7 * DIS # D3: 9 + G3: 1,7 # I3: 1,7 => CTR => I3: 3,6,8 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 # G4: 1,7 => CTR => G4: 4,5 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 # G6: 1,7 => CTR => G6: 4,5 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 # H3: 1,7 => CTR => H3: 2,6,8 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 + H3: 2,6,8 => CTR => D3: 1,2,3,8 * STA D3: 1,2,3,8 * CNT 6 HDP CHAINS / 39 HYP OPENED * REASONING C6,C9: 8.. * DIS # C9: 8 # H8: 2,6 => CTR => H8: 1,7,9 * DIS # C9: 8 + H8: 1,7,9 # H3: 1,7,8 => CTR => H3: 2,6 * DIS # C9: 8 + H8: 1,7,9 + H3: 2,6 # I9: 3,6 => CTR => I9: 1,7,9 * DIS # C9: 8 + H8: 1,7,9 + H3: 2,6 + I9: 1,7,9 => CTR => C9: 1,4,6,9 * STA C9: 1,4,6,9 * CNT 4 HDP CHAINS / 10 HYP OPENED * REASONING A6,C6: 8.. * DIS # A6: 8 # H8: 2,6 => CTR => H8: 1,7,9 * DIS # A6: 8 + H8: 1,7,9 # H3: 1,7,8 => CTR => H3: 2,6 * DIS # A6: 8 + H8: 1,7,9 + H3: 2,6 # I9: 3,6 => CTR => I9: 1,7,9 * DIS # A6: 8 + H8: 1,7,9 + H3: 2,6 + I9: 1,7,9 => CTR => A6: 1,4,5 * STA A6: 1,4,5 * CNT 4 HDP CHAINS / 10 HYP OPENED * REASONING C1,B3: 6.. * DIS # B3: 6 # D7: 6,9 => CTR => D7: 3,4,5 * PRF # B3: 6 + D7: 3,4,5 # F7: 6,9 => SOL * STA # B3: 6 + D7: 3,4,5 + F7: 6,9 * CNT 2 HDP CHAINS / 3 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
38665;12_07;GP;21;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D3,E3: 9..:
* INC # E3: 9 # D7: 6,9 => UNS * INC # E3: 9 # D8: 6,9 => UNS * INC # E3: 9 # D9: 6,9 => UNS * INC # E3: 9 # F7: 6,9 => UNS * INC # E3: 9 # F8: 6,9 => UNS * INC # E3: 9 # F8: 5,7 => UNS * INC # E3: 9 # F8: 6,8,9 => UNS * INC # E3: 9 # E4: 5,7 => UNS * INC # E3: 9 # E6: 5,7 => UNS * INC # E3: 9 => UNS * INC # D3: 9 # E1: 2,3 => UNS * INC # D3: 9 # D2: 2,3 => UNS * INC # D3: 9 # A3: 2,3 => UNS * INC # D3: 9 # B3: 2,3 => UNS * DIS # D3: 9 # G3: 2,3 => CTR => G3: 1,7 * INC # D3: 9 + G3: 1,7 # E4: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # E4: 4,5,7 => UNS * INC # D3: 9 + G3: 1,7 # E1: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # D2: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # A3: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # B3: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # E4: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # E4: 4,5,7 => UNS * INC # D3: 9 + G3: 1,7 # E1: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # D2: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # A3: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # B3: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # E4: 2,3 => UNS * INC # D3: 9 + G3: 1,7 # E4: 4,5,7 => UNS * INC # D3: 9 + G3: 1,7 # H3: 1,7 => UNS * DIS # D3: 9 + G3: 1,7 # I3: 1,7 => CTR => I3: 3,6,8 * INC # D3: 9 + G3: 1,7 + I3: 3,6,8 # H3: 1,7 => UNS * INC # D3: 9 + G3: 1,7 + I3: 3,6,8 # H3: 2,6,8 => UNS * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 # G4: 1,7 => CTR => G4: 4,5 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 # G6: 1,7 => CTR => G6: 4,5 * INC # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 # G8: 1,7 => UNS * INC # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 # G9: 1,7 => UNS * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 # H3: 1,7 => CTR => H3: 2,6,8 * DIS # D3: 9 + G3: 1,7 + I3: 3,6,8 + G4: 4,5 + G6: 4,5 + H3: 2,6,8 => CTR => D3: 1,2,3,8 * STA D3: 1,2,3,8 * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for C6,C9: 8..:
* INC # C9: 8 # B9: 1,4 => UNS * INC # C9: 8 # B9: 6 => UNS * INC # C9: 8 # A5: 1,4 => UNS * INC # C9: 8 # A5: 2,3,5 => UNS * DIS # C9: 8 # H8: 2,6 => CTR => H8: 1,7,9 * INC # C9: 8 + H8: 1,7,9 # H3: 2,6 => UNS * DIS # C9: 8 + H8: 1,7,9 # H3: 1,7,8 => CTR => H3: 2,6 * DIS # C9: 8 + H8: 1,7,9 + H3: 2,6 # I9: 3,6 => CTR => I9: 1,7,9 * DIS # C9: 8 + H8: 1,7,9 + H3: 2,6 + I9: 1,7,9 => CTR => C9: 1,4,6,9 * INC C9: 1,4,6,9 # C6: 8 => UNS * STA C9: 1,4,6,9 * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A6,C6: 8..:
* INC # A6: 8 # B9: 1,4 => UNS * INC # A6: 8 # B9: 6 => UNS * INC # A6: 8 # A5: 1,4 => UNS * INC # A6: 8 # A5: 2,3,5 => UNS * DIS # A6: 8 # H8: 2,6 => CTR => H8: 1,7,9 * INC # A6: 8 + H8: 1,7,9 # H3: 2,6 => UNS * DIS # A6: 8 + H8: 1,7,9 # H3: 1,7,8 => CTR => H3: 2,6 * DIS # A6: 8 + H8: 1,7,9 + H3: 2,6 # I9: 3,6 => CTR => I9: 1,7,9 * DIS # A6: 8 + H8: 1,7,9 + H3: 2,6 + I9: 1,7,9 => CTR => A6: 1,4,5 * INC A6: 1,4,5 # C6: 8 => UNS * STA A6: 1,4,5 * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for C1,B3: 6..:
* DIS # B3: 6 # D7: 6,9 => CTR => D7: 3,4,5 * PRF # B3: 6 + D7: 3,4,5 # F7: 6,9 => SOL * STA # B3: 6 + D7: 3,4,5 + F7: 6,9 * CNT 2 HDP CHAINS / 3 HYP OPENED