27105번 - Equal Summed Subsets 다국어

Given the set of integers {1, 2, 3, ..., N}, determine the total number of ways you can divide the set into two equal-summed subsets A and B of that set. The union of A and B is the set of integers {1,2,...n} and A and B have no integers in common. Do not count answers that are just mirror images of each other, e.g.:

{1, 4} and {2, 3}
      vs.
{2, 3} and {1, 4}

counts as a single solution, not two solutions just because the two sets can be ordered the other way.

A single line with an integer 1 ≤ N ≤ 36 that denotes the size of the set.

A single line with an integer that tells how many pairs of equal summed subsets can be created.