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Maximize Sum Of Array After K Negations

Given an integer array nums and an integer k, modify the array in the following way: You should apply this process exactly k times.

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

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.

Maximize Sum Of Array After K Negations diagram

Example 1

Input: nums = [4,2,3], k = 1

Output: 5

Explanation: Choose index 1 and nums becomes [4,-2,3].

Example 2

Input: nums = [3,-1,0,2], k = 3

Output: 6

Explanation: Choose indices (1, 2, 2) and nums becomes [3,1,0,2].

Example 3

Input: nums = [2,-3,-1,5,-4], k = 2

Output: 13

Explanation: Choose indices (1, 4) and nums becomes [2,3,-1,5,4].

Constraints

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

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