Analysis of xx-HardestSudokusThread-00220-base.sdk
Contents
Original Sudoku
level: deep
position: .2.4.....4...8...6..9..31..2..5...7..95.......7....3....29...4......1..3....6.8.. initial
Autosolve
position: .2.4.....4...8...6..9..31.42..5...7..95.......7....3....29...4......1..3....6.8.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000005
List of important HDP chains detected for E1,D2: 1..:
* PRF # D2: 1 # C1: 3,7 => SOL * STA # D2: 1 + C1: 3,7 * CNT 1 HDP CHAINS / 9 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
| .2.4.....4...8...6..9..31..2..5...7..95.......7....3....29...4......1..3....6.8.. | initial |
| .2.4.....4...8...6..9..31.42..5...7..95.......7....3....29...4......1..3....6.8.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,D2: 1.. / E1 = 1 => 1 pairs (_) / D2 = 1 => 2 pairs (_) H1,H2: 3.. / H1 = 3 => 0 pairs (_) / H2 = 3 => 2 pairs (_) E7,D9: 3.. / E7 = 3 => 1 pairs (_) / D9 = 3 => 1 pairs (_) D5,D9: 3.. / D5 = 3 => 1 pairs (_) / D9 = 3 => 1 pairs (_) G4,G5: 4.. / G4 = 4 => 1 pairs (_) / G5 = 4 => 1 pairs (_) E8,F9: 4.. / E8 = 4 => 0 pairs (_) / F9 = 4 => 0 pairs (_) H6,I6: 5.. / H6 = 5 => 1 pairs (_) / I6 = 5 => 1 pairs (_) F1,D3: 6.. / F1 = 6 => 1 pairs (_) / D3 = 6 => 1 pairs (_) F7,D8: 8.. / F7 = 8 => 1 pairs (_) / D8 = 8 => 1 pairs (_) A8,A9: 9.. / A8 = 9 => 0 pairs (_) / A9 = 9 => 0 pairs (_) * DURATION: 0:00:08.174822 START: 18:18:13.087343 END: 18:18:21.262165 2017-04-29 * CP COUNT: (10) -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E1,D2: 1.. / E1 = 1 => 0 pairs (X) / D2 = 1 ==> 0 pairs (*) * DURATION: 0:00:15.120842 START: 18:18:21.262524 END: 18:18:36.383366 2017-04-29 * REASONING E1,D2: 1.. * PRF # D2: 1 # C1: 3,7 => SOL * STA # D2: 1 + C1: 3,7 * CNT 1 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
HardestSudokusThread-00220,eleven,95052,98003,11.6,1.2,1.2,2466,1221
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,D2: 1..:
* INC # D2: 1 # A1: 3,5 => UNS * INC # D2: 1 # A1: 1,6,7,8 => UNS * INC # D2: 1 # H2: 3,5 => UNS * INC # D2: 1 # H2: 2,9 => UNS * INC # D2: 1 # B7: 3,5 => UNS * INC # D2: 1 # B9: 3,5 => UNS * INC # D2: 1 # A1: 3,7 => UNS * PRF # D2: 1 # C1: 3,7 => SOL * STA # D2: 1 + C1: 3,7 * CNT 8 HDP CHAINS / 9 HYP OPENED