Question: Given an array of integers A [ 1 . . . n ] , we need to push all square num - bers in the

Given an array of integers A[1... n], we need to push all square num- bers in the array to the front of the array and the non-square numbers to the end. Assume that you are given a function ISPERFECTSQUARE(k) that checks if a given number k is a square number or not in O (1) time.
(i) DesignaO(n2)time,O(1)extraspacealgorithmGROUPING-NAIVE(A[1...n])to solve the problem.
(ii) Design a \Theta (n) time, O (n) extra space algorithm GROUPING-BETTER(A[1... n]) to solve the problem.

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