Question: 2. (10 points) Consider these two routines, the first builds a binary search tree, and the second uses that to sort an array A of

2. (10 points) Consider these two routines, the first builds a binary search tree, and the second uses that to sort an array A of n comparable elements. Here inorderTrav performs an inorder traversal of the tree T. buildBST(array A) { BST T for i=1 to n T.insert(A[i]) return T } BSTsort(array A) { BST T = buildBST(A) T.inorderTrav() }

(a) What is the worst case time of BSTsort?

(b) What is the average case time of BSTsort?

2. (10 points) Consider these two routines, the first builds a binary

2. (10 points) Consider these two routines, the first builds a binary search tree, and the second uses that to sort an array A of n comparable elements. Here inorderTrav performs an inorder traversal of the tree T. buildBST(array A) { BST T for i=1 to n T.insert (A[i]) return T } BSTsort(array A) { BST T = buildBST(A) T.inorderTrav() } (a) What is the worst case time of BSTsort? (b) What is the average case time of BSTsort

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