Problem Statement

We have N weights indexed 1 to N. The ?mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer $1 \leq T < N$. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.

Input

Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N

Output

Print the minimum possible absolute difference of S_1 and S_2.

Constraints

• $2 \leq N \leq 100$
• $1 \leq W_i \leq 100$
• All values in input are integers.

Sample Input 1

3
1 2 3

Sample Output 1

0

If T = 2, S_1 = 1 + 2 = 3 and S_2 = 3, with the absolute difference of 0.

Sample Input 2

4
1 3 1 1

Sample Output 2

2

If T = 2, S_1 = 1 + 3 = 4 and S_2 = 1 + 1 = 2, with the absolute difference of 2. We cannot have a smaller absolute difference.

Sample Input 3

8
27 23 76 2 3 5 62 52

Sample Output 3

2

见题面 Input 部分

见题面 Output 部分