Insert the key values 9,10,12,13,14,15,16,17 (in this order) into a initially empty Binary Search Tree (BST). Draw the resulting BST after each insertion. How many comparisons have you done to construct the BST ? As we remarked in class, if we traverse a BST in inorder and print the key values, these will be in sorted order (increasing). This suggests a technique for sorting a list of integers x₁,x2,...,n. We build a binary search tree by inserting the x;'s in the given order into an initially empty BST and then print the xi's during an inorder traversal. What is the worst-case time-complexity of this sorting method ? Justify your answer. (Hint: Use the answer to the first part of this question) Ans:

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Insert the key values 9,10,12,13,14,15,16,17 (in this order) into a initially empty Binary Search Tree
(BST). Draw the resulting BST after each insertion. How many comparisons have you done to construct
the BST ?
As we remarked in class, if we traverse a BST in inorder and print the key values, these will be in
sorted order (increasing). This suggests a technique for sorting a list of integers x₁, x2,
xn. We
build a binary search tree by inserting the x;'s in the given order into an initially empty BST and
then print the x;'s during an inorder traversal. What is the worst-case time-complexity of this sorting
method? Justify your answer. (Hint: Use the answer to the first part of this question)
Ans:
Transcribed Image Text:Insert the key values 9,10,12,13,14,15,16,17 (in this order) into a initially empty Binary Search Tree (BST). Draw the resulting BST after each insertion. How many comparisons have you done to construct the BST ? As we remarked in class, if we traverse a BST in inorder and print the key values, these will be in sorted order (increasing). This suggests a technique for sorting a list of integers x₁, x2, xn. We build a binary search tree by inserting the x;'s in the given order into an initially empty BST and then print the x;'s during an inorder traversal. What is the worst-case time-complexity of this sorting method? Justify your answer. (Hint: Use the answer to the first part of this question) Ans:
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