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Apple Division

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• Number Spiral
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• Apple Division
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• Автобус в Джал
• Гангстеры
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• Длинная сумма

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Difficulty Beta


There are n apples with known weights. Your task is to divide the apples into two groups so that the difference between the weights of the groups is minimal

Input

The first input line has an integer n: the number of apples.

The next line has n integers p1,p2,…,pn: the weight of each apple.

Output

Print one integer: the minimum difference between the weights of the groups.

Constraints
1≤n≤20
1≤pi≤109

Example
Input:
5
3 2 7 4 1

Output:
1

Explanation:
Group 1 has weights 2, 3 and 4 (total weight 9), and group 2 has weights 1 and 7 (total weight 8).

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