Write a programme that accepts an integer N from the command line, generates a random BST of size N, then enters a loop that deletes a random key (using the code delete(select(StdRandom.uniform(N))) and then inserts a random key, iterating the loop N times. Following the loop, calculate and display the average length of a path in the tree (the internal path length divided by N, plus 1). Run your programme for N = 102, 103, and 10 4 to test the rather counterintuitive claim that this approach increases the tree's average path length in proportion to the square root of N. Experiment with a delete() implementation that chooses whether to utilise the previous or successor node at random

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