A General Logic for Sudoku

Golden Nugget

 

 

Elimination 20

 

 

 

 

Elimination 20 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E20a 60 Nodes, Rank 2:

     23 Sets = {7r1 379r2 26r3 6r6 47r7 2r9 9c2 267c5 8c6 2c9 3n6 6n8 247b2 4b3 6b7}

     25 Links = {49r3 789r6 6r9 6c2 6c3 4c6 47c7 2c8 37n1 23n4 126n5 16n6 7n9 79b1 6b5}

     --> (9r3*3n1*9b1) => r3c1<>9

 

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

  | 2568(7) 1458    1245(7) | 68      (2467)  6(478)  | 12(4)   3       9       |

  | 28(9)   48(9)   24(7)   | 8(39)   (2347)  1       | 2(47)   6       5       |

  | 9(26)   14(69)  3       | 9(26)   5       (479)   | 8       17(24)  17(24)  |

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

  | 235     345     8       | 15      9       357     | 123457  1247    6       |

  | 3569    7       456     | 13568   13(6)   2       | 13459   1489    1348    |

  | 1       35(69)  25(6)   | 4       3(67)   357(68) | 23579   (2789)  378     |

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

  | 3(67)   13(6)   9       | 126     8       36(4)   | 13(47)  5       1(24)   |

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

  | 4       1358(6) 15(6)   | 7       13(26)  3569    | 139     189(2)  138(2)  |

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

 

Logic Diagram