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1. Let A and B be two sets of n positive integers. You get to reorder each set however you like. After reording, let

 

1. Let A and B be two sets of n positive integers. You get to reorder each set however you like. After reording, let a be the i-th element of A and bi be the i-th element n of B. The goal is to maximize the function II a. You will develop a greedy algorithm for this task. i=1 (a) Describe a greedy idea on how to solve this problem, and shortly argue why you think it is correct (not a formal proof). (b) Describe your greedy algorithm in pseudocode. What is its runtime?

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