As far as I know, pseudo-liberties are only used for detecting a
capture or detecting atari. If this method you suggest has some value
beyond that, then I'm interested to learn more about it. But the
I have a nice mathematical puzzle for you.
Fix some k, say, 81.
What is the smallest range N for which you can pick k N-bit
numbers, n_1,n_2,...n_k with the following properties:
{2*n_i, 3*n_i, 4*n_i} is disjoint from
{n_a + n_b,
n_a + n_b + n_c, n_a + 2n_b,
n_a + n_b + n_c + n_d, n_a + n_b + 2n_c, n_a + 3n_b, 2n_a + 2n_b}
(where a,b,c,d are different)
regards,
-John
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