Write for the following problem a recursive algorithm whose worst-case time complexity is not worse than Θ(n ln n). 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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Q: This is not a test question. This is a pratice test.

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Q: Please help me solve this problem

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A: I'm providing the answer for the above question. I hope this will be helpful for you.

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Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.