(Answered) Question repeat exercise for four numbers try to design an

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Question: Repeat Exercise for four numbers. Try to design an O(N2 log N) algorithm.

Exercise: An array contains N numbers, and you want to determine whether two of the numbers sum to a given number K. For instance, if the input is 8, 4, 1, 6 and K is 10, the answer is yes (4 and 6). A number may be used twice. Do the following.

a. Give an O(N 2) algorithm to solve this problem.

b. Give an O(N log N) algorithm to solve this problem. (Hint: Sort the items first. After doing so, you can solve the problem in linear time.)

c. Code both solutions and compare the running times of your algorithms.

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