A General Logic for Sudoku

Golden Nugget

Elimination 66

Elimination 66 to Golden Nugget using set logic. Above, two-dimensional grid diagram. Below three-dimensional view. No analysis.

Set Logic and Grid

E66a 16 Nodes, Rank -2:

9 Sets = {1c459 7c9 8c46 36n9 5b5}

7 Links = {1r58 8r16 45n4 7b3}

[1C9*3N9] => r3c9=1, [7C9*3N9] => [1C9] => [7C9*6N9] => r6c9=7, [6N9] => r3c9<>7, r5c9<>1, r6c9<>8

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

| 7 5 1 | 6(8) 24 6(8) | 24 3 9 |

| 89 89 24 | 3 7 1 | 24 6 5 |

| 26 46 3 | 29 5 49 | 8 17 (17) |

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

| 235 34 8 | (15) 9 7 | 135 24 6 |

| 359 7 46 | (158) 36(1) 2 | 359 1489 38(1) |

| 1 369 256 | 4 36 6(8) | 359 278 (78) |

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

| 36 1 9 | 26 8 34 | 7 5 24 |

| 358 2 7 | 9(1) 4(1) 359 | 6 89 348 |

| 4 368 56 | 7 26 59 | 139 189 238 |

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

Logic Diagram