Question: Given an array of N distinct non-zero integers and an integer k, 0 < k N, you have to flip the sign of k numbers

Given an array of N distinct non-zero integers and an integer k, 0 < k N, you have to flip the sign of k numbers in the array such that the resultant array has the maximum possible sum. You may flip a number at most once. Design an O(N) time algorithm for selecting the numbers to flip.

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