Analysis of xx-ph-00027875-2011_12-base.sdk
Original Sudoku
level: deep
position: 98.7.....6.....9....5.6..8.5......4....3....2.....17...5..9..6...92....1..4..73.. initial
Autosolve
position: 98.7.....6.....9....5.6..8.5......4....3....2.....17...5..9..6...92....1..4..73.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:18.599574
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for H2,H8: 7..:
* DIS # H2: 7 # G1: 1,2 => CTR => G1: 5,6 * DIS # H2: 7 + G1: 5,6 # F3: 3,4 => CTR => F3: 2,9 * DIS # H2: 7 + G1: 5,6 + F3: 2,9 # B5: 4 => CTR => B5: 1,9 * DIS # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 # G7: 2 => CTR => G7: 4,8 * PRF # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 + G7: 4,8 # E8: 4,8 => SOL * STA # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 + G7: 4,8 + E8: 4,8 * CNT 5 HDP CHAINS / 18 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.....6.....9....5.6..8.5......4....3....2.....17...5..9..6...92....1..4..73.. | initial |
| 98.7.....6.....9....5.6..8.5......4....3....2.....17...5..9..6...92....1..4..73.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H8: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,H9: 2.. / G7 = 2 => 3 pairs (_) / H9 = 2 => 4 pairs (_) G1,I1: 6.. / G1 = 6 => 2 pairs (_) / I1 = 6 => 1 pairs (_) B8,B9: 6.. / B8 = 6 => 3 pairs (_) / B9 = 6 => 2 pairs (_) F8,D9: 6.. / F8 = 6 => 2 pairs (_) / D9 = 6 => 3 pairs (_) B8,F8: 6.. / B8 = 6 => 3 pairs (_) / F8 = 6 => 2 pairs (_) B9,D9: 6.. / B9 = 6 => 2 pairs (_) / D9 = 6 => 3 pairs (_) E4,E5: 7.. / E4 = 7 => 1 pairs (_) / E5 = 7 => 2 pairs (_) I7,H8: 7.. / I7 = 7 => 7 pairs (_) / H8 = 7 => 3 pairs (_) H2,H8: 7.. / H2 = 7 => 7 pairs (_) / H8 = 7 => 3 pairs (_) D3,F3: 9.. / D3 = 9 => 2 pairs (_) / F3 = 9 => 2 pairs (_) H9,I9: 9.. / H9 = 9 => 5 pairs (_) / I9 = 9 => 2 pairs (_) * DURATION: 0:00:12.209807 START: 05:42:44.460204 END: 05:42:56.670011 2020-10-20 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H2,H8: 7.. / H2 = 7 ==> 0 pairs (*) / H8 = 7 => 0 pairs (X) * DURATION: 0:00:35.895509 START: 05:43:18.544918 END: 05:43:54.440427 2020-10-20 * REASONING H2,H8: 7.. * DIS # H2: 7 # G1: 1,2 => CTR => G1: 5,6 * DIS # H2: 7 + G1: 5,6 # F3: 3,4 => CTR => F3: 2,9 * DIS # H2: 7 + G1: 5,6 + F3: 2,9 # B5: 4 => CTR => B5: 1,9 * DIS # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 # G7: 2 => CTR => G7: 4,8 * PRF # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 + G7: 4,8 # E8: 4,8 => SOL * STA # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 + G7: 4,8 + E8: 4,8 * CNT 5 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
27875;2011_12;GP;23;11.40;11.40;2.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H2: 5,7 => UNS * INC # H2: 1,2,3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H2: 5,7 => UNS * INC # H2: 1,2,3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H2: 5,7 => UNS * INC # H2: 1,2,3 => UNS * INC # H2: 5,7 # I2: 5,7 => UNS * INC # H2: 5,7 # I2: 3,4 => UNS * INC # H2: 5,7 # B5: 1,9 => UNS * INC # H2: 5,7 # B5: 4,7 => UNS * INC # H2: 5,7 # I4: 3,9 => UNS * INC # H2: 5,7 # I6: 3,9 => UNS * INC # H2: 5,7 # B6: 3,9 => UNS * INC # H2: 5,7 # B6: 2,4 => UNS * INC # H2: 5,7 => UNS * INC # H2: 1,2,3 # A7: 3,8 => UNS * INC # H2: 1,2,3 # C7: 3,8 => UNS * INC # H2: 1,2,3 # E8: 3,8 => UNS * INC # H2: 1,2,3 # F8: 3,8 => UNS * INC # H2: 1,2,3 # A6: 3,8 => UNS * INC # H2: 1,2,3 # A6: 2,4 => UNS * INC # H2: 1,2,3 # F8: 3,6 => UNS * INC # H2: 1,2,3 # F8: 4,5,8 => UNS * INC # H2: 1,2,3 # G7: 4,8 => UNS * INC # H2: 1,2,3 # G8: 4,8 => UNS * INC # H2: 1,2,3 # D7: 4,8 => UNS * INC # H2: 1,2,3 # F7: 4,8 => UNS * INC # H2: 1,2,3 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H2,H8: 7..:
* DIS # H2: 7 # G1: 1,2 => CTR => G1: 5,6 * INC # H2: 7 + G1: 5,6 # A3: 1,2 => UNS * INC # H2: 7 + G1: 5,6 # B3: 1,2 => UNS * INC # H2: 7 + G1: 5,6 # I1: 3,4 => UNS * INC # H2: 7 + G1: 5,6 # I2: 3,4 => UNS * INC # H2: 7 + G1: 5,6 # A3: 3,4 => UNS * INC # H2: 7 + G1: 5,6 # B3: 3,4 => UNS * DIS # H2: 7 + G1: 5,6 # F3: 3,4 => CTR => F3: 2,9 * INC # H2: 7 + G1: 5,6 + F3: 2,9 # I1: 3,4 => UNS * INC # H2: 7 + G1: 5,6 + F3: 2,9 # I2: 3,4 => UNS * INC # H2: 7 + G1: 5,6 + F3: 2,9 # A3: 3,4 => UNS * INC # H2: 7 + G1: 5,6 + F3: 2,9 # B3: 3,4 => UNS * INC # H2: 7 + G1: 5,6 + F3: 2,9 # B5: 1,9 => UNS * DIS # H2: 7 + G1: 5,6 + F3: 2,9 # B5: 4 => CTR => B5: 1,9 * INC # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 # G7: 4,8 => UNS * DIS # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 # G7: 2 => CTR => G7: 4,8 * PRF # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 + G7: 4,8 # E8: 4,8 => SOL * STA # H2: 7 + G1: 5,6 + F3: 2,9 + B5: 1,9 + G7: 4,8 + E8: 4,8 * CNT 17 HDP CHAINS / 18 HYP OPENED