A General Logic for Sudoku

Golden Nugget

 

 

Elimination 33

 

 

 

 

Elimination 33 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

 

 

 

 

Set Logic and Grid

 

[ G33a, grid[23.196]r51 53 sets s1:0  p571  Big BW ]

 

Set Solution

 

E33a 63 Nodes, Rank -13:

     33 Sets = {1r1 459r5 12r7 8r8 6c1 3689c2 259c4 4c6 9c7 4c9 5n1 23479n2 378n4 5n8 7n9 49b4 1b5 9b8}

     20 Links = {46r3 1r5 46r7 9r9 1c47 4c2 8c8 4n4 5n7 6n2 8n69 1b1 35b4 9b6 8b7}

     --> (1r5*1c7*5n7) => r5c7<>1

 

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

  | 257     45(1)   257(1)  | 68      2467    678     | 24(1)   3       9       |

  | 89      (89)    247     | 3       247     1       | 247     6       5       |

  | 2(6)    (146)   3       | (29)    5       79(4)   | 8       147     127(4)  |

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

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

  | (359)   7       6(4)    | 68(15)  36(1)   2       | 13(459) (1489)  138(4)  |

  | 1       5(369)  256     | 4       367     35678   | 2357(9) 2789    378     |

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

  | 37(6)   (136)   9       | (126)   8       36(4)   | 347(1)  5       (124)   |

  | 357(8)  2       157     | (159)   134     35(49)  | 6       1479(8) 137(48) |

  | 4       (368)   156     | 7       1236    356(9)  | 13(9)   1289    1238    |

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

 

Logic Diagram