P3067 [USACO12OPEN] Balanced Cow Subsets G
Description
Farmer John's owns N cows (2
Input Format
\* Line 1: The integer N.
\* Lines 2..1+N: Line i+1 contains M(i).
Output Format
\* Line 1: The number of balanced subsets of cows.
Explanation/Hint
There are 4 cows, with milk outputs 1, 2, 3, and 4.
There are three balanced subsets: the subset {1,2,3}, which can be partitioned into {1,2} and {3}, the subset {1,3,4}, which can be partitioned into {1,3} and {4}, and the subset {1,2,3,4} which can be partitioned into {1,4} and {2,3}.