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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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Sample cases (from the problem)
Sample Case 1
Input
8 -2 1 -3 4 -1 2 1 -5
Expected output
6
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