A General Logic for Sudoku

Golden Nugget

 

 

Elimination 7

 

 

 

 

Elimination 7 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E7a  72 Nodes, Rank -1:

     26 Sets = {47r1 1247r3 1247r4 124r7 147c3 6c8 2n37 2b1 1247b3 4b4 7b9}

     25 Links = {267r2 7r8 2c1 4c2 12c4 47c6 1247c7 1n35 2n8 3n289 4n8 7n79 7b1 1b7}

     --> (2r2*2c4) => r2c4<>2

 

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

  | 568(27) 1568(4) 5(1247) | 268     26(47)  68(47)  | (1247)  3       9       |

  | 689(2)  4689    (2467)  | 2389    23467   1       | (247)   (267)   5       |

  | 69(27)  69(14)  3       | 69(2)   5       69(47)  | 8       (12467) (1247)  |

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

  | 35(2)   35(4)   8       | 5(1)    9       35(7)   | 35(1247 (1247)  6       |

  | 3569    7       56(4)   | 13568   136     2       | 13459   1489    1348    |

  | 1       3569    256     | 4       367     35678   | 23579   2789    2378    |

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

  | 367     36(1)   9       | 6(12)   8       36(4)   | 3(1247) 5       (1247)  |

  | 3578    2       5(17)   | 1359    134     3459    | 6       1489(7) 1348(7) |

  | 4       13568   56(1)   | 7       1236    3569    | 1239    1289    1238    |

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

 

Logic Diagram