Divide the weights
Given n weights , you are asked to split those weights into 2 groups so that the difference between those weights is minimal.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 20).
The next line contains n space-separated integers (1 ≤ ≤ ).
Output
The program should print the minimal possible difference between the two groups.
Examples
Input | Output |
|---|---|
3 | 0 |
5 | 1 |
Explanation
First group → 3, second group → 1 + 2 = 3
First group → 1 + 7 = 8, second group → 2 + 3 + 4 = 9
Hint
You can try to split the weights in all the possible ways and calculate the minimum possible difference.
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 1 MB