A General Logic for Sudoku

Golden Nugget

 

 

Elimination 27

 

 

 

 

Elimination 27 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E27a 48 Nodes, Rank 7:

     17 Sets = {7r38 8r9 8c1 126c3 2c4 2c9 1n2 2n23 3n1 6n8 9b4 7b5 5b7}

     24 Links = {8r2 2r3 279r6 2r7 5c2 6c1 7c3689 8c28 9c2 5n1 8n13 9n39 124b1 6b4}

     --> (6c1*5n1*6b4) => r5c1<>6

 

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

  | 257     (145)   457(12) | 68      2467    4678    | 124     3       9       |

  | 9(8)    (89)    (247)   | 3       247     1       | 247     6       5       |

  | (26)    146     3       | 9(2)    5       49(7)   | 8       124(7)  14(27)  |

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

  | 235     345     8       | 15      9       35(7)   | 123457  1247    6       |

  | 356(9)  7       45(6)   | 1568    136     2       | 13459   1489    1348    |

  | 1       356(9)  5(26)   | 4       36(7)   3568(7) | 23579   (2789)  378     |

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

  | 367     136     9       | 16(2)   8       346     | 1347    5       14(2)   |

  | 3(578)  2       (157)   | 159     134     3459    | 6       1489(7) 1348(7) |

  | 4       136(58) (156)   | 7       1236    3569    | 139     129(8)  13(28)  |

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

 

Logic Diagram