We are given an array that contains N numbers. We want to determine if there aretwo

Chapter 7, Problem 7.53

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We are given an array that contains N numbers. We want to determine if there aretwo numbers whose sum equals a given number K. For instance, if the input is 8, 4,1, 6, and K is 10, then the answer is yes (4 and 6). A number may be used twice.Do the following:a. Give an O(N2) algorithm to solve this problem.b. Give an O(N logN) algorithm to solve this problem. (Hint: Sort the items first.After that is done, you can solve the problem in linear time.)c. Code both solutions and compare the running times of your algorithms.

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