A General Logic for Sudoku

Golden Nugget

 

 

 

 

Elimination 49

 

Elimination 49, which looks lind of like a helicopter from the side, is a simple example of a triplet. With 7sets and 9 linksets, it has a rank of 2. The triplet at 1r1c7 lowers the rank along the direction of the ALS in r12c7 to 1, thus producing ther elimination.

 

 

 

Set Logic and Grid

 

E49a 18 Nodes, Rank 2:

     7 Sets = {6r5 1r7 12n7 1b15 4b4}

     9 Links = {1r1 4r4 1c2 1c4 124c7 5n35}

     --> (4r4*4c7) => r4c7<>4

 

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

  | 257    45(1)  257(1) | 68     247    68     | (124)  3      9      |

  | 89     89     247    | 3      47     1      | (24)   6      5      |

  | 26     46(1)  3      | 29     5      49     | 8      147    147    |

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

  | 235    35(4)  8      | 5(1)   9      7      | 1345   124    6      |

  | 359    7      (46)   | 58(1)  3(16)  2      | 3459   1489   138    |

  | 1      3569   256    | 4      36     3568   | 3579   2789   378    |

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

  | 367    36(1)  9      | 26(1)  8      34     | 37(1)  5      24     |

  | 3578   2      157    | 159    134    359    | 6      14789  13478  |

  | 4      368    156    | 7      126    3569   | 139    189    1238   |

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

 

Logic Diagram