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 $S_2$.

Constraints

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

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 $S_2$.