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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.

Database System Concepts
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
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 1. If (y = 0), Return( 0 ) 2. z := floor(y/2) //floor is the mathematical floor function 3. p := FastMult(x, z) // The recursive call 4. If (y is even) - Return( 2 ⋅ p ) 5. Else - Return( 2 ⋅ p + x ) 6. 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 1. If (y = 0), Return( 0 ) 2. z := floor(y/2) //floor is the mathematical floor function 3. p := FastMult(x, z) // The recursive call 4. If (y is even) - Return( 2 ⋅ p ) 5. Else - Return( 2 ⋅ p + x ) 6. End-if --- Give a recurrence relation to describe the asymptotic complexity of the algorithm.
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