its one question broken into two parts Consider the following code fragment. Compute the worst-case time complexity interms of n.for (i=0; i<=n-1; i++){for (j=i+1; j<=n-1; j++){body of loop}}For each pair (f, g) of functions below, state whether either, neither, or both of thefollowing are true: f(n) = 0(g(n)), g(n)O(f(n)). Briefly justify your answers.a. f(n) = In(n), g(n) = lg(n).Note that In denotes log to the base e and lg denotes log to the base 2.b. f(n) = 3", g(n) = n100c. f(n) = 3", g(n) = 2"d. f(n) = 1000n² + 2000n + 4000, g(n)= 3n3 + 1

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Consider the following code fragment. Compute the worst-case time complexity in terms of n. for (i=0; i<=n-1; i++){ for (j=i+1; j<=n-1; j++){ body of loop } }

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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Concept explainers

Structured English

Structured English uses a simple English language to make structured programming easier for non-professionals. The program is divided into various parts that are known as logical statements. These statements are written in a simple English language.

Question

its one question broken into two parts

Consider the following code fragment. Compute the worst-case time complexity in
terms of n.
for (i=0; i<=n-1; i++){
for (j=i+1; j<=n-1; j++){
body of loop
}
}
For each pair (f, g) of functions below, state whether either, neither, or both of the
following are true: f(n) = 0(g(n)), g(n)
O(f(n)). Briefly justify your answers.
a. f(n) = In(n), g(n) = lg(n).
Note that In denotes log to the base e and lg denotes log to the base 2.
b. f(n) = 3", g(n) = n100
c. f(n) = 3", g(n) = 2"
d. f(n) = 1000n² + 2000n + 4000, g(n)
= 3n3 + 1

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