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At Least Three Difference (Posted on 2010-08-04) Difficulty: 3 of 5
Place the numbers 1-9 in the boxes so that the difference of each pair of numbers joined by a line is at least three. The number 8 has already been placed.



No Solution Yet Submitted by Brian Smith    
Rating: 5.0000 (1 votes)

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re: Computer solution: not just for 8 | Comment 3 of 13 |
(In reply to Computer solution: not just for 8 by Charlie)

Extending Charlie's list, there is also a solution for 9 in the upper left corner, viz.  9-2-7   3-5-8   6-1-4  (again, the 5 and 8 can be interchanged).

The topological similarites of the 8-2-5 and 1-4-7 triangles of the original solution are intriguing but do not lead to generation of other solutions since the 1 has other connections. I just generated loops for the nine variables -- took less than 0.03 seconds execution time, for each corner start seed.

 


  Posted by ed bottemiller on 2010-08-04 15:01:55
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