JAVA PROGRAM ASAP *********** THIS PROGRAM MUST WORK IN HYPERGRADE AND PASS ALL THE TEST CASES. Perform algorithm time measurement for all three quadratic sorting algorithms for Best Case (already sorted), Average Case (randomly generated), and Worst Case (inverse sorted) inputs and compare them with O(N*logN) sorting algorithm using Arrays.sort() method. Use arrays sizes of 50K, 100K, and 200K to produce timing results. Ignore the message "There is an infinite loop!" that appears on HyperGrade after submitting your program. Unfortunately, HyperGrade is designed to limit the amount of time that your program is allowed to execute.

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.