A General Logic for Sudoku

Golden Nugget

 

 

Elimination 31

 

 

 

 

Elimination 31 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E31a 28 Nodes, Rank 3:

     11 Sets = {4r2 24r7 8c6 3n46 5n3 68b2 7b3 6b5}

     14 Links = {79r3 6r5 2c4 4c367 6c5 1n46 2n7 6n6 7n9 4b2}

     --> (4c6*1n6*4b2) => r1c6<>4

 

 

Grid

 

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

  | 257     145     1257    | (68)    247(6)  47(68)  | 124     3       9       |

  | 89      89      27(4)   | 3       27(4)   1       | 2(47)   6       5       |

  | 26      146     3       | (29)    5       (479)   | 8       124(7)  124(7)  |

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

  | 235     345     8       | 15      9       357     | 123457  1247    6       |

  | 359     7       (46)    | 158(6)  13(6)   2       | 13459   1489    1348    |

  | 1       3569    256     | 4       37(6)   357(68) | 23579   2789    378     |

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

  | 367     136     9       | 16(2)   8       36(4)   | 137(4)  5       1(24)   |

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

  | 4       368     156     | 7       1236    3569    | 139     1289    1238    |

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

 

Logic Diagram