You are given an array $A$ of $n$ integers. Divide $A$ into 2 sets of numbers so that the absolute difference in their sum is as small as possible.
### Input
- The first line contains an integer $n$.
- The second line contains $n$ integers $A_i$.
### Output
- Print the minimum difference.
### Constraints
- $1 \le n \le 40$.
- $-10^9 \le A_i \le 10^9$.
### Example
Input:
```
3
1 2 4
```
Output:
```
1
```