(a) Find the value of input size n at which the two plots intersect each other. (b) What is the importance of this intersection point?

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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The following figure shows the plots of runtime versus input size for two algorithms.
Asymptotic efficiency of algorithm RED is defined by 0.6n? while of algorithm BLUE is
defined by 1000n + 3000. The x-axis represents the input size (shown from 0 to 5000)
while the y-axis shows the runtime in seconds.
(a) Find the value of input size n at which the two plots intersect each other.
(b) What is the importance of this intersection point?
15000000
| 1000n + 3000
| 0.6n2
12000000
9000000
6000000
3000000
1000
2000
3000
4000
5000
n
Type your answer here.
Transcribed Image Text:The following figure shows the plots of runtime versus input size for two algorithms. Asymptotic efficiency of algorithm RED is defined by 0.6n? while of algorithm BLUE is defined by 1000n + 3000. The x-axis represents the input size (shown from 0 to 5000) while the y-axis shows the runtime in seconds. (a) Find the value of input size n at which the two plots intersect each other. (b) What is the importance of this intersection point? 15000000 | 1000n + 3000 | 0.6n2 12000000 9000000 6000000 3000000 1000 2000 3000 4000 5000 n Type your answer here.
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