A General Logic for Sudoku

Golden Nugget

 

 

Elimination 16

 

 

 

 

Elimination 16 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E16a 86 Nodes, Rank -3:

     34 Sets = {1r1 124679r3 147r4 124r7 6c1 8c6 247c8 247c9 1n46 2n12 6n8 7n2467 29b4 27b9}

     31 Links = {8r1 8r2 289r6 36r7 2c1 14c2 126c4 47c6 1c7 1n2 3n4689 4n8 5n1 7n9 169b1 6b2 47b6 4b9}

     --> (1n2*6b1) => r1c2<>6

 

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

  | 2578(6) 4568(1) 2457(1) | (268)   2467    (4678)  | 24(1)   3       9       |

  | (289)   (489)   247     | 389     2347    1       | 247     6       5       |

  | (269)   (1469)  3       | (269)   5       (479)   | 8       (1247)  (1247)  |

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

  | 35(2)   35(4)   8       | 5(1)    9       35(7)   | 235(147 (1247)  6       |

  | 35(69)  7       456     | 13568   136     2       | 13459   189(4)  138(4)  |

  | 1       356(9)  56(2)   | 4       367     3567(8) | 23579   (2789)  38(27)  |

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

  | 37(6)   (136)   9       | (126)   8       (346)   | (12347) 5       (124)   |

  | 3578    2       157     | 1359    134     3459    | 6       189(47) 138(47) |

  | 4       13568   156     | 7       1236    3569    | 139     189(2)  138(2)  |

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

 

Logic Diagram