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
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This is a discrete math problem. Please explain clearly, no cursive writing. 

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
р+x)
End-if
Give a recurrence relation to describe the asymptotic complexity of the algorithm.
Transcribed Image Text: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 р+x) End-if Give a recurrence relation to describe the asymptotic complexity of the algorithm.
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