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Maximum Subarray Sum

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• Maximum Subarray Sum
• Static Range Sum Queries
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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Difficulty Alpha

Given an array of n integers, your task is to find the maximum sum of values in a contiguous, nonempty subarray.
Input
The first input line has an integer n : the size of the array.
The second line has n integers x1,x2,…,xn : the array values.

Output
Print one integer: the maximum subarray sum.

Constraints
  • 1≤n≤2⋅105
  • −109≤x(i)≤109


Example
Input:
8
-1 3 -2 5 3 -5 2 2

Output:
9

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