Question: 1. (a) 5 marks] Describe an O(n log n) algorithm (in the sense of the worst case performance) that, given an array S of n

1. (a) 5 marks] Describe an O(n log n) algorithm (in the sense of the worst case performance) that, given an array S of n integers and another integer r, determines whether or not there exist two elements in S whose sum is exactly z. (5 pts) (b) [5 marks] Describe an algorithm that accomplishes the same task, but runs in O(n) expected (average) time

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