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Problem

Read a positive natural number n followed by n integers forming a sequence v[1], v[2], ..., v[n]. For a contiguous subarray v[i], v[i+1], ..., v[j] the sum is defined as v[i] + v[i+1] + ... + v[j].

Determine the maximum sum over all contiguous subarrays containing at least one element.

Input format

Input input.txt

The first line contains `n`. The second line contains `n` integers separated by spaces. - `1 <= n <= 1000` - `-1000 <= v[i] <= 1000` - the subarray must contain at least one element

Output format

Output output.txt

Print a single integer: the maximum subarray sum, followed by a newline.

Example

input
8

-2 1 -3 4 -1 2 1 -5
output
6

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