A General Logic for Sudoku

Golden Nugget

 

 

Elimination 6

 

 

 

 

Elimination 6 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E6a  77 Nodes, Rank 13:

     24 Sets = {1r137 2r47 4r3 7r4 247c3 124c5 8c6 4c9 7b2 1267b3 18b6 47b9}

     37 Links = {27r1 247r2 14r5 8r6 47r8 1c2 7c6 127c7 7c8 1n3567 2n8 3n2689 4n8 5n89 7n479 8n9 4b2 4b3 2b4 12b8}

     --> (4r2*2n8*4b3) => r2c8<>4

 

 

Grid

 

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

  | 25678   4568(1) 5(1247) | 268     6(247)  46(78)  | 4(127)  3       9       |

  | 2689    4689    6(247)  | 2389    36(247) 1       | 4(27)   4(267)  5       |

  | 2679    69(14)  3       | 269     5       69(47)  | 8       (12467) (1247)  |

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

  | 35(2)   345     8       | 15      9       35(7)   | 345(127 4(127)  6       |

  | 3569    7       56(4)   | 13568   36(1)   2       | 3459(1) 49(18)  3(148)  |

  | 1       3569    56(2)   | 4       367     3567(8) | 23579   279(8)  237(8)  |

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

  | 367     36(1)   9       | 6(12)   8       346     | 3(1247) 5       (1247)  |

  | 3578    2       15(7)   | 1359    3(14)   3459    | 6       189(47) 138(47) |

  | 4       13568   156     | 7       36(12)  3569    | 1239    1289    1238    |

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

Logic Diagram