Create a programme that accepts the integer N from the command line, creates a random BST of size N, then iterates the loop N times by deleting a random key (using the code delete(select(StdRandom.uniform(N)) and inserting a random key. After the loop, calculate and report the internal path length multiplied by N plus one to get the average length of a path in the tree. Test the rather paradoxical hypothesis that this approach lengthens the average route of the tree to be proportional to the square root of N by running your programme for N = 102, 103, and 10 4. Run the same experiments for a delete() implementation that makes a random choice whether to use the predecessor or the successor node

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Create a programme that accepts the integer N from the command line, creates a random BST of size N, then iterates the loop N times by deleting a random key (using the code delete(select(StdRandom.uniform(N)) and inserting a random key. After the loop, calculate and report the internal path length multiplied by N plus one to get the average length of a path in the tree. Test the rather paradoxical hypothesis that this approach lengthens the average route of the tree to be proportional to the square root of N by running your programme for N = 102, 103, and 10 4. Run the same experiments for a delete() implementation that
makes a random choice whether to use the predecessor or the successor node

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