Question: The following procedures returns a pointer to the minimum and maximum elements in the subtree rooted at a given node x, which we assume to


The following procedures returns a pointer to the minimum and maximum elements in the subtree rooted at a given node x, which we assume to be non-NIL. Both of these procedures run in O(h) time on a tree of height h since, as in TREE-SEARCH, TREE-MINIMUM(x) 1 while x.left + NIL 2 x = x.left 3 return x TREE-MAXIMUM(x) 1 while x.right + NIL 2 x = x.right 3 return x The Sorting and Searching Algorithms slides have the pseudo code of two algorithms, TREE-MINIMUM and TREE-MAXIMUM, that take as a parameter the pointer to the root node of an BST (Binary Search Tree). TREE-MINIMUM returns a pointer to the node that contains the minimum element in the tree, while TREE-MINIMUM returns a pointer to the node that contains its maximum element. In the following space, rewrite the pseudo code of both TREE-MINIMUM and TREE- MAXIMUM but using recursion approach instead of the iterative approach used in the slides
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