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Maximum Subarray Sum

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Memory limit:512 MB
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Given an array of nn integers, your task is to find the maximum sum of values in a contiguous, nonempty subarray.

Input

The first input line has an integer nn: the size of the array.

The second line has nn integers x1,x2,…,xnx_1,x_2,\dots,x_n: the array values.

Output

Print one integer: the maximum subarray sum.

Constraints
  • 1≤n≤2⋅1051 \le n \le 2 \cdot 10^5
  • −109≤xi≤109-10^9 \le x_i \le 10^9
Sample Test Cases (1)
Example 1ID: sample-1
Input
8
-1 3 -2 5 3 -5 2 2
Expected Output
9
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Test Bench
Download .zip
Input (stdin)
8
-1 3 -2 5 3 -5 2 2
Expected Output
9