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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 } }

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
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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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
Transcribed Image Text: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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