A General Logic for Sudoku

Golden Nugget

 

 

Elimination 9

 

 

 

 

Elimination 9 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E9a  59 Nodes, Rank 8:

     19 Sets = {127r3 12r4 124r7 4c3 7c5 12n7 4b2 2467b3 47b6}

     27 Links = {2r2 4r1235 7r26 2c1 1c2 12c4 4c6 1247c7 147c9 1n5 4n7 234n8 37n9 7b2}

     --> (7c9*7n9) => r7c9<>7

 

 

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

  | 25678   14568   1257(4) | 268     26(47)  678(4)  | (1247)  3       9       |

  | 2689    4689    267(4)  | 389     236(47) 1       | (247)   (267)   5       |

  | 69(2)   469(1)  3       | 69(2)   5       9(47)   | 8       (12467) (1247)  |

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

  | 35(2)   345     8       | 5(1)    9       357     | 35(1247 (1247)  6       |

  | 3569    7       56(4)   | 13568   136     2       | 1359(4) 189(4)  138(4)  |

  | 1       3569    256     | 4       36(7)   35678   | 2359(7) 289(7)  238(7)  |

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

  | 367     36(1)   9       | 6(12)   8       36(4)   | 37(124) 5       7(124)  |

  | 3578    2       157     | 1359    134     3459    | 6       14789   13478   |

  | 4       13568   156     | 7       1236    3569    | 1239    1289    1238    |

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

 

Logic Diagram