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Cost Benefit Segment

Hard

Dynamic Programming

In "Cost Benefit Segment", each integer represents gain or loss at each time step.

Find the maximum possible sum of a contiguous non-empty segment.

Example 1

Input:nums = [-2,16,-1,17,-3,18]
Output:47

For input nums = [-2,16,-1,17,-3,18], the contiguous subarray [16,-1,17,-3,18] gives the maximum sum 47. Therefore, return 47.

Example 2

Input:nums = [16,-1,-2,20,-1,2]
Output:34

For input nums = [16,-1,-2,20,-1,2], the contiguous subarray [16,-1,-2,20,-1,2] gives the maximum sum 34. Therefore, return 34.

Constraints

  • 1 <= nums.length <= 105
  • -104 <= nums[i] <= 104
solution.js
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Test Cases (2)

Test Case 1
Input:
[-2,16,-1,17,-3,18]
Expected Output:
47
Test Case 2
Input:
[16,-1,-2,20,-1,2]
Expected Output:
34