A General Logic for Sudoku

Golden Nugget

 

 

Elimination 5

 

 

 

 

Elimination 5 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

E5a  74 Nodes, Rank 6:

     24 Sets = {3r2 124r4 1247r7 1c3 2c35 4c35 5c4 7c5689 1n7 2n7 4n6 8n35 7b1}

     30 Links = {3r4 5r8 7r12368 7c1 3c4 3c5 124c7 1n35 2n35 4n48 7n479 24b4 57b5 1b7 124b8}

     --> (3r4*3c4*4n4) => r4c4<>3

 

 

Grid

 

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

  | 2568(7) 14568   5(1247) | 268     6(247)  468(7)  | (1247)  3       9       |

  | 2689    4689    6(247)  | 289(3)  6(2347) 1       | (247)   246(7)  5       |

  | 269(7)  1469    3       | 269     5       469(7)  | 8       1246(7) 124(7)  |

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

  | 35(2)   35(4)   8       | 3(15)   9       (357)   | 357(124 (1247)  6       |

  | 3569    7       56(4)   | 1368(5) 136     2       | 13459   1489    1348    |

  | 1       3569    56(2)   | 4       36(7)   3568(7) | 23579   289(7)  238(7)  |

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

  | 36(7)   36(1)   9       | 6(12)   8       36(4)   | 3(1247) 5       (1247)  |

  | 3578    2       (157)   | 139(5)  (134)   3459    | 6       1489(7) 1348(7) |

  | 4       13568   56(1)   | 7       136(2)  3569    | 1239    1289    1238    |

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

 

Logic Diagram