A General Logic for Sudoku

Golden Nugget

 

 

Elimination 3

 

 

 

 

Elimination 3 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E3a  81 Nodes, Rank 6:

     26 Sets = {7r3 24r4 8r5 1247r7 16c5 6c8 1n46 2n7 3n1246 7n4 1b3 78b5 147b6 2b8}

     32 Links = {6r2 1469r3 1r5 7r6 27c1 14c2 268c4 478c6 124c7 4n78 5n589 6n5 7n79 9n5 6b2 7b3 1b8}

     --> (6r2*6c4*6b2) => r2c4<>6

 

 

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

  | 25678   14568   12457   | (268)   247(6)  (4678)  | 247(1)  3       9       |

  | 26789   4689    2467    | 23689   2347(6) 1       | (247)   247(6)  5       |

  | (2679)  (1469)  3       | (269)   5       (4679)  | 8       24(167) 24(17)  |

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

  | 35(2)   35(4)   8       | 135     9       35(7)   | 35(1247 (1247)  6       |

  | 3569    7       456     | 1356(8) 3(16)   2       | 359(14) 9(148)  3(148)  |

  | 1       3569    256     | 4       3(67)   356(78) | 2359(7) 289(7)  238(7)  |

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

  | 36(7)   36(1)   9       | (126)   8       36(4)   | 3(1247) 5       (1247)  |

  | 3578    2       157     | 1359    34(1)   3459    | 6       14789   13478   |

  | 4       13568   156     | 7       3(126)  3569    | 1239    1289    1238    |

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

 

Logic Diagram