Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 14.1, Problem 4E
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To write a recursive procedure of OS-KEY-RANK( T,k ) that takes OS tree and a key k as input and return the rank of k in dynamic set representation by T.
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Given a Binary Search Tree, write a RECURSIVE function to insert a new integer into the tree. The prototype in C is: tree_ptr insert(int x, tree_ptr T)
The function f is defined for non-negative integers a and b recursively as follows:f(a, b) ={0 if a = 0 or b = 0f(a − 1, b − 1) + 2a − 1 if a = bf(a − b, b) + f(b, b) if a > bf(a, a) + f(b − a, a) if a < b}Compute f (3, 2) by drawing a recursion tree showing all of the computationrequired and then use your tree to compute the answer.
illustrates a recursive pseudocode description of theinsert operation on a k-d tree. Here, x is the key to be inserted into the k-d tree, T isthe pointer to the k-d tree and DISC is the discriminator.
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