Question: Write a C++ program Design an algorithm to find all the permutations of an array having n unique elements. Give a trace for permutations(A,n), where

Write a C++ program
Design an algorithm to find all the permutations of an array having n unique elements. Give a trace for permutations(A,n), where A={1,2,3} and n=3. Design a recurrence relation for the algorithm and find its time complexity. Give a proof of correctness
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