rank time bounds: (randomized) Rank various time bounds (functions of input size n, e.g., n², 2n) in order of their asymptotic growth rates. The functions will be given as LATEX-like code, e.g., (0) log n (1) 2 log n (2) 1 (3) 2^n You will rank them by uploading a text file with the proper nondecreasing order of asymptotic growth rates. Assume all logarithms are base 2. Some time bounds may have the same asymptotic growth rate, in which case listing them in either relative order would be considered correct. More precisely, a correct ordering f₁, f2,... satisfies fi = O(fi+1) for all i. In the above example, since 1 = o(log n), log n = 0(2 log n), and log n = o(2"), there are two correct solutions:
rank time bounds: (randomized) Rank various time bounds (functions of input size n, e.g., n², 2n) in order of their asymptotic growth rates. The functions will be given as LATEX-like code, e.g., (0) log n (1) 2 log n (2) 1 (3) 2^n You will rank them by uploading a text file with the proper nondecreasing order of asymptotic growth rates. Assume all logarithms are base 2. Some time bounds may have the same asymptotic growth rate, in which case listing them in either relative order would be considered correct. More precisely, a correct ordering f₁, f2,... satisfies fi = O(fi+1) for all i. In the above example, since 1 = o(log n), log n = 0(2 log n), and log n = o(2"), there are two correct solutions:
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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