What is the effect in the time required to solve a problem when you increase the size of the input from n to n + 1, assuming that the number of milliseconds the algorithm uses to solve the problem with input size n is each of these functions? [Express your answer in the simplest form possible, either as a ratio or a difference. Your answer may be a function of n or a constant.] a) log n  b) 100n c) n^2 d) 2^n e) n!

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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What is the effect in the time required to solve a problem when you increase the size of the input from n to
n + 1, assuming that the number of milliseconds the algorithm uses to solve the problem with input size n is
each of these functions? [Express your answer in the simplest form possible, either as a ratio or a difference. Your
answer may be a function of n or a constant.]
a) log n 

b) 100n

c) n^2

d) 2^n

e) n!

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