Maximize Sum Of Array After K Negations

Given an integer array nums and an integer k, modify the array in the following way:

  • Choose an index i and replace nums[i] with -nums[i].

You should apply this process exactly k times. You may choose the same index i multiple times.

Return the largest possible sum of the array after modifying it in this way.

Example 1
Inputnums = [4,2,3], k = 1
Output5
Choose index 1 and nums becomes [4, -2, 3].
Example 2
Inputnums = [3,-1,0,2], k = 3
Output6
Choose indices (1, 2, 2) and nums becomes [3, 1, 0, 2].

Constraints

  • 1 <= nums.length <= 10^4
  • -100 <= nums[i] <= 100
  • 1 <= k <= 10^4

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