Suppose that an algorithm has runtime 20 n3 for n <= 100. For n>100, the slowest cases for each n take time 2 n2 log n. The fastest cases for each n take time 10 n2. That is, for n>100, runtime is between 10 n2 and 2 n2 log n. Which of the following are known to be true of the worst-case runtime for the algorithm? (Check all that apply, which may be more than one in a row.) O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these Which of the following are known to be true of the average-case runtime? O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these [Each row must have at least one answer checked.]
Suppose that an algorithm has runtime 20 n3 for n <= 100. For n>100, the slowest cases for each n take time 2 n2 log n. The fastest cases for each n take time 10 n2. That is, for n>100, runtime is between 10 n2 and 2 n2 log n. Which of the following are known to be true of the worst-case runtime for the algorithm? (Check all that apply, which may be more than one in a row.) O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these Which of the following are known to be true of the average-case runtime? O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these [Each row must have at least one answer checked.]
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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Suppose that an
algorithm has runtime 20 n3 for n <= 100. For n>100, the slowest cases for each n take time 2 n2 log n. The fastest cases for each n take time 10 n2. That is, for n>100, runtime is between 10 n2 and 2 n2 log n.Which of the following are known to be true of the worst-case runtime for the algorithm? (Check all that apply, which may be more than one in a row.)
O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these Which of the following are known to be true of the average-case runtime?
O( n2 ) O( n2 log n ) O( n3 ) None of these Ω( n2 ) Ω( n2 log n ) Ω( n3 ) None of these Θ( n2 ) Θ( n2 log n ) Θ( n3 ) None of these [Each row must have at least one answer checked.]
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