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A General Logic for Sudoku Golden Nugget |
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Elimination 67
Elimination 67 is the final breakup of Golden Nugget's logic. The assignment of one candidate causes a multiple loop avalanche of eliminations and assignments. Above, two-dimensional grid diagram. Below three-dimensional view.
Set Logic and Grid E67a
28 Nodes, Rank -13: 19 Sets = {26r3 8r5 6r7 3r9 6c1 34c2
689c4 3c7 34n2 1n4 8n8 5n9 3b56} 6 Links = {3r56 9r8 8c8 3n14} [6C4*1N4] => [8C4*1N4] =>
r1c4=8, [2R3] => [6R3*6C1] => r3c1=6, [4C2*3N2] => r3c2=4, [6R3*3N2]
=> [2R3] => r3c4=2, [9C4] => [3C2*4N2] => r4c2=3, [4C2*4N2]
=> [8R5*8C4] => [8R5] => [5N9*3B6] => [8R5*5N9] => r5c9=8,
+-----------------------------------------------------------+ | 7
5 1 | (68)
24 68 | 24
3 9 | | 89
89
24 | 3 7
1 | 24 6
5 | | (26)
(46) 3 | (29)
5 49 | 8
17 1 |
+-----------------------------------------------------------+ | 235
(34) 8 | 15
9 7 | 15(3) 24 6
| | 359
7 46 | 15(8) 16(3) 2 | 59(3) 149(8 (38) | | 1
69(3) 256 | 4 6(3)
68 | 59(3) 278 8
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+-----------------------------------------------------------+ | 3(6)
1 9 | 2(6)
8 34 | 7
5 24 | | 358
2 7 | 1(9)
14 359 | 6
(89) 348 | | 4
68(3) 56 | 7 26
59 | 19(3) 189 28(3) |
+-----------------------------------------------------------+ Logic Diagram |
