On Nov 14, 2007 2:00 PM, John Tromp <[EMAIL PROTECTED]> wrote:

> My solution doesn't make use of that, and satisfies the stronger property:

> 0 <= a_i <= 4 and sum a_i * n_i is in 1*nums union 2*nums union 3*nums
> union 4*nums
> => only one a_i is nonzero.

that was not quite correct. it should say:

let a_i be the number of adjacencies to a liberty at point i.

if sum a_i <= 4, and sum (a_i * n_i)  is in {1,2,3,4} * nums,
then only one a_i is nonzero.

regards,
-John
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