The following algorithm takes as input two non-negative integers, x and y, and returns the product of x and y. FastMult (x, y) Input: Two non-negative integers, x and y Output: The product of x and y If (y 0), Return( 0 ) floor (y/2) //floor is the mathematical floor function := := FastMult (x, z) // The recursive call If (y is even) Return( 2 p ) Else Return( 2 p + x ) End-if Give a recurrence relation to describe the asymptotic complexity of the algorithm.
The following algorithm takes as input two non-negative integers, x and y, and returns the product of x and y. FastMult (x, y) Input: Two non-negative integers, x and y Output: The product of x and y If (y 0), Return( 0 ) floor (y/2) //floor is the mathematical floor function := := FastMult (x, z) // The recursive call If (y is even) Return( 2 p ) Else Return( 2 p + x ) End-if Give a recurrence relation to describe the asymptotic complexity of the algorithm.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 1TF
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