Question: 1. (Adapted from Exercise 2.3-7 in the textbook) Write pseudocode for a (n Ig n-time algorithm that, given an array A of n integers and

1. (Adapted from Exercise 2.3-7 in the textbook) Write pseudocode for a (n Ig n-time algorithm that, given an array A of n integers and another integerx, determines whether or not there exist two elements in A whose sum is exactly x. Explain informally why your algorithm is (n lg n)-time. You may use calls to the Merge-Sort algorithm in the textbook as part of your pseudocode. (Hint: Let p be the smallest element of A, r be the largest element of A, and z be any other element. Ifp+ x, what does tha say about z+?)

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