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 β€ n β€ 20).The next line contains
n
space-separated integers
(1 β€ β€ ). Output
The program should print the minimal possible difference between the two groups.
Examples
Input | Output |
3
3 2 1 | 0 |
5
1 2 3 4 7 | 1 |
Explanation
- First group β 3, second group β 1 + 2 = 3
- First group β 1 + 7 = 8, second group β 2 + 3 + 4 = 9
Β
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