Question: 1.Describe a (n)-time algorithm that, given a set S of n integers, determines which two elements in S have the largest sum. 2. Describe a

1.Describe a (n)-time algorithm that, given a set S of n integers, determines which two elements in S have the largest sum.

2. Describe a (n)-time algorithm that, given a set S of n integers, determines which two elements in S have the largest difference.

3. Describe a (n lg n)-time algorithm that, given a set S of n integers and another integer x, determines whether or not there exist two elements in S whose sum is exactly x.

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