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QUESTION 6 Short description: A. Write a function which determines if a given array of n integers is a permutation of fe..n-1) B. Write a function which takes a permutation of n integers and constructs its nverse Background: recall that a permutation of a set of integers is just an ordered listing of the elements. For example, consider the set S={0, 1, 2). example permutations of S These are not permutations of S Suppose an array of n integers is indeed a permutation of (0n-1. We can view such an array as a bijective function f from POSITION-to-ELEMENT-AT-INDEX: Since f is a bijection, it also has an inverse which is a function from ELEMENT-to-POSITION-OF-ELEMENT: Examples of permutations of (e,1,2} and their inverses as array diagrams: Permutation Inverse val val idx val val idx idx val val idx

Finally, your tasks: A. write a Cfunction is perm which determines if a given array of integers is a permutation of fe..n-1}. B. Write a function which takes a permutation as an array of n integers and constructs its inverse (also as an array) Your function will allocate storage for the inverse array and returns it as an integer pointer. If the array it receives is not a permutation of (e..n-1), it returns nullptr instead Templates given below. bool is_perm(int al], int n) t int perm2inverse(int a[], int n)f if(lis perm(a, n // to get you started... return nullptr; // otherwise, a[] is a permutation of e.n-1; allocate and populate its // inverse array (and return it)

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