Question: Give an O(n) algorithm for the following problem and prove its time complexity. Given a list of n distinct positive integers. partition the list into

Give an O(n) algorithm for the following problem and prove its time complexity. Given a list of n distinct positive integers. partition the list into two sublists, each of size n/2, such that the difference between the sums of the integers in the two sublists is maximized. You may assume that n is a multiple of 2.

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