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EIUHALF - Divide in Half

You are given a list of N items. Each item has a value ai (a1, a2,..., an).

Let’s split these items into two subsets such that the absolute difference between their sums is minimum. Calculate this difference.

Input

-      The first line contains an integer N (1 ≤ N ≤ 100).

-      The second line has N integers a1, a2..., an respectively (0 ≤ ai ≤ 107 and 0 ≤ a1+a2+…+an ≤ 107).

Output

Print minimum difference between two sets.

 

Sample

Input

Output

7

1 2 3 4 5 6 7

0

4

1 11 5 6

1


Added by:Ha Minh Ngoc
Date:2023-08-29
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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