2. Consider the following algorithm which receives as input two numbers m and n and sets result to m x n; div is the integer division operator. result repeat 0 if m is odd then L result mm div 2 nnn until m < 1: result + n • State (as a function of m and n) how many times the loop is executed and justify your answer. • Give the running time of the algorithm in ☺ notation as a function of m and n. Explain how you reached the answer.

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
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2. Consider the following algorithm which receives as input two numbers m and n and sets
result to m x n; div is the integer division operator.
result
repeat
0
if m is odd then
L result
mm div 2
nnn
until m < 1:
result + n
• State (as a function of m and n) how many times the loop is executed and justify your
answer.
• Give the running time of the algorithm in ☺ notation as a function of m and n. Explain
how you reached the answer.
Transcribed Image Text:2. Consider the following algorithm which receives as input two numbers m and n and sets result to m x n; div is the integer division operator. result repeat 0 if m is odd then L result mm div 2 nnn until m < 1: result + n • State (as a function of m and n) how many times the loop is executed and justify your answer. • Give the running time of the algorithm in ☺ notation as a function of m and n. Explain how you reached the answer.
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