3. Draw the recursion tree when n = 12, where n represents the length of the array, for the following recursive method: int sumSquares (int[] array, int first, int last) ( if (first == last) return array [first] * array[first]; int mid (first + last) / 2; return sumSquares (array, first, mid) + sumSquares (array, mid + 1, last); } • Determine a formula that counts the numbers of nodes in the recursion tree. What is the Big-Ⓒ for execution time? • Determine a formula that expresses the height of the tree. What is the Big-Ⓒ for memory? • Write an iterative solution for this same problem and compare its efficiency with this recursive solution.

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Heap Sort

A Heap is a type of data structure that is built on trees. It's a binary tree that's virtually complete. Except for the very bottom level, all levels of the tree must be filled in a heap. The last (bottom) level should be filled from left to right. The heap data structure is used for the efficient implementation of priority queues.Heap can be of two types: