A General Logic for Sudoku

Golden Nugget

 

 

Elimination 12

 

 

 

 

Elimination 12 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E12a 70 Nodes, Rank 5:

     24 Sets = {4r1 47r3 124r4 1247r7 2c5 4c89 7c579 1n7 2n78 127b1 6b3 1b6}

     29 Links = {2r1 27r2 7r6 1c2479 2c17 4c26 7c1 1n3 1n5 3n6 4n7 345n8 78n9 2b8 4b369 7b239}

     [2N8*6B3] => r2c8=6, [2N8] => [6B3] => r2c8<>7, r3c8<>6

 

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

  | 568(27) 568(14) 5(1247) | 268     6(247)  678(4)  | (1247)  3       9       |

  | 689(2)  489     4(27)   | 389     346(27) 1       | (247)   (67)    5       |

  | 69(2)   69(14)  3       | 269     5       9(47)   | 8       12(467) 12(47)  |

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

  | 35(2)   35(4)   8       | 5(1)    9       357     | 35(1247 7(124)  6       |

  | 3569    7       456     | 13568   136     2       | 3459(1) 89(14)  38(14)  |

  | 1       3569    256     | 4       36(7)   35678   | 2359(7) 2789    238(7)  |

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

  | 36(7)   36(1)   9       | 6(12)   8       36(4)   | 3(1247) 5       (124)   |

  | 3578    2       157     | 1359    134     3459    | 6       1789(4) 138(47) |

  | 4       13568   156     | 7       136(2)  3569    | 1239    1289    1238    |

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

 

Logic Diagram