Analysis of zz-www.sudokuwiki.org-0289-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=289
level: deep
position: 12.34....3.....1...56......4..7..8...6.....5...2..9......41...7....7.3.......2.9. initial
Autosolve
position: 12.34....3.....1...56......4..7..8...6...4.5...2..9......41...7...97.3.......2.9. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for F3,F4: 1..:
* DIS # F4: 1 # H3: 7,8 => CTR => H3: 2,3,4 * DIS # F4: 1 + H3: 2,3,4 # C5: 3,9 => CTR => C5: 1,7,8 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 5 => CTR => C4: 3,9 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 # E5: 2,8 => CTR => E5: 3 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 # A7: 8,9 => CTR => A7: 2,6 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 + A7: 2,6 => CTR => F4: 3,5,6 * STA F4: 3,5,6 * CNT 6 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for D3,F3: 1..:
* DIS # D3: 1 # H3: 7,8 => CTR => H3: 2,3,4 * DIS # D3: 1 + H3: 2,3,4 # C5: 3,9 => CTR => C5: 1,7,8 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 5 => CTR => C4: 3,9 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 # E5: 2,8 => CTR => E5: 3 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 # A7: 8,9 => CTR => A7: 2,6 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 + A7: 2,6 => CTR => D3: 2,8 * STA D3: 2,8 * CNT 6 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for F4,F7: 3..:
* DIS # F4: 3 # H3: 2,8 => CTR => H3: 3,4,7 * DIS # F4: 3 + H3: 3,4,7 # I3: 2,8 => CTR => I3: 3,4,9 * PRF # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # C4: 1,9 => SOL * STA # F4: 3 + H3: 3,4,7 + I3: 3,4,9 + C4: 1,9 * CNT 3 HDP CHAINS / 14 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
| 12.34....3.....1...56......4..7..8...6.....5...2..9......41...7....7.3.......2.9. | initial |
| 12.34....3.....1...56......4..7..8...6...4.5...2..9......41...7...97.3.......2.9. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D3,F3: 1.. / D3 = 1 => 4 pairs (_) / F3 = 1 => 1 pairs (_) F3,F4: 1.. / F3 = 1 => 1 pairs (_) / F4 = 1 => 4 pairs (_) A7,A8: 2.. / A7 = 2 => 2 pairs (_) / A8 = 2 => 0 pairs (_) H3,I3: 3.. / H3 = 3 => 0 pairs (_) / I3 = 3 => 0 pairs (_) F7,E9: 3.. / F7 = 3 => 1 pairs (_) / E9 = 3 => 3 pairs (_) F4,F7: 3.. / F4 = 3 => 3 pairs (_) / F7 = 3 => 1 pairs (_) B2,C2: 4.. / B2 = 4 => 1 pairs (_) / C2 = 4 => 0 pairs (_) C4,A6: 5.. / C4 = 5 => 2 pairs (_) / A6 = 5 => 0 pairs (_) E2,E3: 9.. / E2 = 9 => 1 pairs (_) / E3 = 9 => 1 pairs (_) * DURATION: 0:00:05.483235 START: 14:55:46.261323 END: 14:55:51.744558 2019-04-28 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F3,F4: 1.. / F3 = 1 => 1 pairs (_) / F4 = 1 ==> 0 pairs (X) D3,F3: 1.. / D3 = 1 ==> 0 pairs (X) / F3 = 1 => 1 pairs (_) F4,F7: 3.. / F4 = 3 ==> 0 pairs (*) / F7 = 3 => 0 pairs (X) * DURATION: 0:00:32.175956 START: 14:55:51.745096 END: 14:56:23.921052 2019-04-28 * REASONING F3,F4: 1.. * DIS # F4: 1 # H3: 7,8 => CTR => H3: 2,3,4 * DIS # F4: 1 + H3: 2,3,4 # C5: 3,9 => CTR => C5: 1,7,8 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 5 => CTR => C4: 3,9 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 # E5: 2,8 => CTR => E5: 3 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 # A7: 8,9 => CTR => A7: 2,6 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 + A7: 2,6 => CTR => F4: 3,5,6 * STA F4: 3,5,6 * CNT 6 HDP CHAINS / 18 HYP OPENED * REASONING D3,F3: 1.. * DIS # D3: 1 # H3: 7,8 => CTR => H3: 2,3,4 * DIS # D3: 1 + H3: 2,3,4 # C5: 3,9 => CTR => C5: 1,7,8 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 5 => CTR => C4: 3,9 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 # E5: 2,8 => CTR => E5: 3 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 # A7: 8,9 => CTR => A7: 2,6 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 + A7: 2,6 => CTR => D3: 2,8 * STA D3: 2,8 * CNT 6 HDP CHAINS / 18 HYP OPENED * REASONING F4,F7: 3.. * DIS # F4: 3 # H3: 2,8 => CTR => H3: 3,4,7 * DIS # F4: 3 + H3: 3,4,7 # I3: 2,8 => CTR => I3: 3,4,9 * PRF # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # C4: 1,9 => SOL * STA # F4: 3 + H3: 3,4,7 + I3: 3,4,9 + C4: 1,9 * CNT 3 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=289
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F3,F4: 1..:
* INC # F4: 1 # F1: 7,8 => UNS * INC # F4: 1 # F2: 7,8 => UNS * INC # F4: 1 # A3: 7,8 => UNS * DIS # F4: 1 # H3: 7,8 => CTR => H3: 2,3,4 * INC # F4: 1 + H3: 2,3,4 # A3: 7,8 => UNS * INC # F4: 1 + H3: 2,3,4 # A3: 9 => UNS * INC # F4: 1 + H3: 2,3,4 # F1: 7,8 => UNS * INC # F4: 1 + H3: 2,3,4 # F2: 7,8 => UNS * INC # F4: 1 + H3: 2,3,4 # A3: 7,8 => UNS * INC # F4: 1 + H3: 2,3,4 # A3: 9 => UNS * INC # F4: 1 + H3: 2,3,4 # C4: 3,9 => UNS * DIS # F4: 1 + H3: 2,3,4 # C5: 3,9 => CTR => C5: 1,7,8 * INC # F4: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 3,9 => UNS * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 5 => CTR => C4: 3,9 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 # E5: 2,8 => CTR => E5: 3 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 # A7: 8,9 => CTR => A7: 2,6 * DIS # F4: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 + A7: 2,6 => CTR => F4: 3,5,6 * INC F4: 3,5,6 # F3: 1 => UNS * STA F4: 3,5,6 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for D3,F3: 1..:
* INC # D3: 1 # F1: 7,8 => UNS * INC # D3: 1 # F2: 7,8 => UNS * INC # D3: 1 # A3: 7,8 => UNS * DIS # D3: 1 # H3: 7,8 => CTR => H3: 2,3,4 * INC # D3: 1 + H3: 2,3,4 # A3: 7,8 => UNS * INC # D3: 1 + H3: 2,3,4 # A3: 9 => UNS * INC # D3: 1 + H3: 2,3,4 # F1: 7,8 => UNS * INC # D3: 1 + H3: 2,3,4 # F2: 7,8 => UNS * INC # D3: 1 + H3: 2,3,4 # A3: 7,8 => UNS * INC # D3: 1 + H3: 2,3,4 # A3: 9 => UNS * INC # D3: 1 + H3: 2,3,4 # C4: 3,9 => UNS * DIS # D3: 1 + H3: 2,3,4 # C5: 3,9 => CTR => C5: 1,7,8 * INC # D3: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 3,9 => UNS * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 # C4: 5 => CTR => C4: 3,9 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 # E5: 2,8 => CTR => E5: 3 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 # A7: 8,9 => CTR => A7: 2,6 * DIS # D3: 1 + H3: 2,3,4 + C5: 1,7,8 + C4: 3,9 + E5: 3 + A7: 2,6 => CTR => D3: 2,8 * INC D3: 2,8 # F3: 1 => UNS * STA D3: 2,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for F4,F7: 3..:
* INC # F4: 3 # D2: 2,8 => UNS * INC # F4: 3 # E2: 2,8 => UNS * INC # F4: 3 # E3: 2,8 => UNS * DIS # F4: 3 # H3: 2,8 => CTR => H3: 3,4,7 * DIS # F4: 3 + H3: 3,4,7 # I3: 2,8 => CTR => I3: 3,4,9 * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # D5: 2,8 => UNS * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # D5: 1 => UNS * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # D2: 2,8 => UNS * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # E2: 2,8 => UNS * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # E3: 2,8 => UNS * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # D5: 2,8 => UNS * INC # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # D5: 1 => UNS * PRF # F4: 3 + H3: 3,4,7 + I3: 3,4,9 # C4: 1,9 => SOL * STA # F4: 3 + H3: 3,4,7 + I3: 3,4,9 + C4: 1,9 * CNT 13 HDP CHAINS / 14 HYP OPENED