A General Logic for Sudoku

Golden Nugget

 

 

 

 

Elimination 44

 

Elimination 44 to is another example of a single rank 0 linkset in a big structure. The overall structure is rank 0 but cannot eliminate candidates because the set triplets at 2r1c2, 2r1c3, and 6r6c5 can all potentially raise the rank. However, the box linkset 5b6 sits on the linkset (minor) side of all set triplets and its rank cannot be lowered by the set triplets resulting in the elimination.

 

Set Logic and Grid

 

E44a 17 Nodes, Rank 0:

     7 Sets = {6r6 2c357 6c5 26b1}

     7 Links = {2r12 6c2 3n1 6n3 9n5 6b5}

     --> (6b5) => r5c4<>6

 

  +--------------------------------------------------------------------+

  | 57(2)  145    157(2) | 68     47(2)  68     | 14(2)  3      9      |

  | 89     89     47(2)  | 3      47     1      | 4(2)   6      5      |

  | (26)   14(6)  3      | 29     5      49     | 8      147    147    |

  +--------------------------------------------------------------------+

  | 235    345    8      | 15     9      7      | 1345   124    6      |

  | 359    7      46     | 1568   13(6)  2      | 3459   1489   1348   |

  | 1      359(6) 5(26)  | 4      3(6)   358(6) | 3579   2789   378    |

  +--------------------------------------------------------------------+

  | 367    136    9      | 126    8      346    | 1347   5      24     |

  | 3578   2      157    | 159    134    3459   | 6      14789  13478  |

  | 4      368    156    | 7      1(26)  3569   | 139    189    1238   |

  +--------------------------------------------------------------------+

 

Logic Diagram