Maximize the sum of array
Detailed guide and Python implementation for the 'Maximize the sum of array' problem.
Problem Statement
Write a function maximize_sum(arr, k) that returns the maximum possible sum of the array after performing exactly k negations. In each negation, you must choose an element and replace it with its negative value. You can negate the same element multiple times.
- •1 <= len(arr) <= 10^5
- •1 <= k <= 10^5
- •-10^4 <= arr[i] <= 10^4
Examples
maximize_sum([-2, 0, 5, -1, 2], 4)
10
Negate -2 to 2, -1 to 1. The remaining 2 negations can be performed on 0. The array becomes [2, 0, 5, 1, 2], summing to 10.
maximize_sum([3, -1, 0, 2], 3)
6
Negate -1 to 1. The remaining 2 negations are performed on 0. Sum is 3 + 1 + 0 + 2 = 6.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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