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
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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 = (2 log n), and log n = o(2"), there are two correct
solutions:
and
2013
2 1 0 3
For help, see https://en.wikipedia.org/wiki/Big_0_notation.
Transcribed Image Text: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 = (2 log n), and log n = o(2"), there are two correct solutions: and 2013 2 1 0 3 For help, see https://en.wikipedia.org/wiki/Big_0_notation.
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