A General Logic for Sudoku

Golden Nugget

 

 

Elimination 21

 

 

 

 

Elimination 21 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

E21a 81 Nodes, Rank 2:

     29 Sets = {1r147 2r17 3r2 4r3457 7r4 8r2 2c3 7c5 8c6 9c12 2n7 3n1246 4b2 4b3

                128b6 1b7 2b8}

     31 Links = {69r3 28r6 14c2 1c3 12c4 2c5 4c6 1247c7 1n56 2n1245 4n78 5n89

                 7n9 2b1 7b2 49b4 7b5}

     --> (2n1*2b1) => r2c1<>2

 

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

  | 5678(2) 458(1)  457(12) | 68      6(247)  67(48)  | (124)   3       9       |

  | 2(89)   4(89)   47(2)   | 9(38)   2(347)  1       | (247)   6       5       |

  | (26)    (1469)  3       | (269)   5       (479)   | 8       127(4)  127(4)  |

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

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

  | 356(9)  7       56(4)   | 13568   136     2       | 359(14) 9(148)  3(148)  |

  | 1       356(9)  56(2)   | 4       36(7)   3567(8) | 3579(2) 79(28)  37(8)   |

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

  | 367     36(1)   9       | 6(12)   8       36(4)   | 37(14)  5       (124)   |

  | 3578    2       57(1)   | 1359    134     3459    | 6       14789   13478   |

  | 4       3568(1) 56(1)   | 7       136(2)  3569    | 139     1289    1238    |

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

 

Logic Diagram