Analysis of zz-www.sudokuwiki.org-0301-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=301
level: deep
position: ........9.....4178..8.7.6....5.9...7.1.2..5..3....5.....9.5..6.2....3....4.1..... initial
Autosolve
position: ........9.....4178..8.7.6....5.9...7.1.2..5..3....5.....9.5..6.2....3....4.1..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for F3,F9: 9..:
* DIS # F3: 9 # D1: 3,5 => CTR => D1: 6,8 * DIS # F3: 9 + D1: 6,8 # H3: 3,5 => CTR => H3: 2,4 * DIS # F3: 9 + D1: 6,8 + H3: 2,4 # H1: 2,3 => CTR => H1: 5 * PRF # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 # B1: 2,3 => SOL * STA # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 + B1: 2,3 * CNT 4 HDP CHAINS / 17 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
| ........9.....4178..8.7.6....5.9...7.1.2..5..3....5.....9.5..6.2....3....4.1..... | initial |
| ........9.....4178..8.7.6....5.9...7.1.2..5..3....5.....9.5..6.2....3....4.1..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,E6: 1.. / F4 = 1 => 4 pairs (_) / E6 = 1 => 1 pairs (_) A7,C8: 1.. / A7 = 1 => 0 pairs (X) / C8 = 1 => 2 pairs (_) A3,F3: 1.. / A3 = 1 => 4 pairs (_) / F3 = 1 => 1 pairs (_) F4,H4: 1.. / F4 = 1 => 4 pairs (_) / H4 = 1 => 1 pairs (_) A7,I7: 1.. / A7 = 1 => 0 pairs (X) / I7 = 1 => 2 pairs (_) C1,C8: 1.. / C1 = 1 => 0 pairs (X) / C8 = 1 => 2 pairs (_) E1,E6: 1.. / E1 = 1 => 4 pairs (_) / E6 = 1 => 1 pairs (_) D4,E5: 3.. / D4 = 3 => 1 pairs (_) / E5 = 3 => 2 pairs (_) B7,C9: 3.. / B7 = 3 => 1 pairs (_) / C9 = 3 => 3 pairs (_) B8,A9: 5.. / B8 = 5 => 1 pairs (_) / A9 = 5 => 2 pairs (_) I5,I6: 6.. / I5 = 6 => 2 pairs (_) / I6 = 6 => 1 pairs (_) F5,D6: 7.. / F5 = 7 => 2 pairs (_) / D6 = 7 => 2 pairs (_) A5,B6: 9.. / A5 = 9 => 1 pairs (_) / B6 = 9 => 0 pairs (_) D8,F9: 9.. / D8 = 9 => 4 pairs (_) / F9 = 9 => 1 pairs (_) A5,H5: 9.. / A5 = 9 => 1 pairs (_) / H5 = 9 => 0 pairs (_) F3,F9: 9.. / F3 = 9 => 4 pairs (_) / F9 = 9 => 1 pairs (_) * DURATION: 0:00:10.862255 START: 15:26:15.862293 END: 15:26:26.724548 2019-04-28 * CP COUNT: (16) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F3,F9: 9.. / F3 = 9 ==> 0 pairs (*) / F9 = 9 => 0 pairs (X) * DURATION: 0:00:20.617539 START: 15:26:26.725111 END: 15:26:47.342650 2019-04-28 * REASONING F3,F9: 9.. * DIS # F3: 9 # D1: 3,5 => CTR => D1: 6,8 * DIS # F3: 9 + D1: 6,8 # H3: 3,5 => CTR => H3: 2,4 * DIS # F3: 9 + D1: 6,8 + H3: 2,4 # H1: 2,3 => CTR => H1: 5 * PRF # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 # B1: 2,3 => SOL * STA # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 + B1: 2,3 * CNT 4 HDP CHAINS / 17 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=301
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F3,F9: 9..:
* DIS # F3: 9 # D1: 3,5 => CTR => D1: 6,8 * INC # F3: 9 + D1: 6,8 # D2: 3,5 => UNS * INC # F3: 9 + D1: 6,8 # D2: 3,5 => UNS * INC # F3: 9 + D1: 6,8 # D2: 6 => UNS * INC # F3: 9 + D1: 6,8 # B3: 3,5 => UNS * DIS # F3: 9 + D1: 6,8 # H3: 3,5 => CTR => H3: 2,4 * INC # F3: 9 + D1: 6,8 + H3: 2,4 # I3: 3,5 => UNS * INC # F3: 9 + D1: 6,8 + H3: 2,4 # D2: 3,5 => UNS * INC # F3: 9 + D1: 6,8 + H3: 2,4 # D2: 6 => UNS * INC # F3: 9 + D1: 6,8 + H3: 2,4 # B3: 3,5 => UNS * INC # F3: 9 + D1: 6,8 + H3: 2,4 # I3: 3,5 => UNS * DIS # F3: 9 + D1: 6,8 + H3: 2,4 # H1: 2,3 => CTR => H1: 5 * INC # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 # I3: 2,3 => UNS * INC # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 # I3: 2,3 => UNS * INC # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 # I3: 4 => UNS * PRF # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 # B1: 2,3 => SOL * STA # F3: 9 + D1: 6,8 + H3: 2,4 + H1: 5 + B1: 2,3 * CNT 16 HDP CHAINS / 17 HYP OPENED