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If a searching algrothim's runtime / amount of inputs progresses like this   1 second / 250 inputs 2 seconds / 2500 inputs 4 seconds / 250,000 inputs   Is its big-O class exponential?

If a searching algrothim's runtime / amount of inputs progresses like this   1 second / 250 inputs 2 seconds / 2500 inputs 4 seconds / 250,000 inputs   Is its big-O class exponential?

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
Problem 1PE
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If a searching algrothim's runtime / amount of inputs progresses like this

 

1 second / 250 inputs

2 seconds / 2500 inputs

4 seconds / 250,000 inputs

 

Is its big-O class exponential?

Expert Solution
Step 1

Here for n=1, we have  250 inputs

which can also be  written as 25 * 101

 

 

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