Q1.1 Big Omega 1 Point Select the option which best matches the meaning of: f(n) = N(n²) O For sufficiently large values of n, every input of size n causes the algorithm to do at least c. n² multiplications (for some choice of c). For sufficiently large values of n, every input of size n causes the algorithm to do at most cn² multiplications (for some choice of c). For sufficiently large values of n, there exists an input of size n which causes the algorithm to do at most c. n² multiplications (for some choice of c). You cannot analyze a worst-case running time using , so the statement is meaningless. O For sufficiently large values of n, there exists an input of size ʼn which causes the algorithm to do at least c. n² multiplications (for some choice of c).

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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Q1.1 Big Omega
1 Point
Select the option which best matches the meaning of: ƒ(n) = N(n²)
For sufficiently large values of n, every input of size n causes the algorithm to do at least c. n²
multiplications (for some choice of c).
For sufficiently large values of n, every input of size n causes the algorithm to do at most c · n²
multiplications (for some choice of c).
For sufficiently large values of n, there exists an input of size n which causes the algorithm to
do at most c. n² multiplications (for some choice of c).
You cannot analyze a worst-case running time using , so the statement is meaningless.
n
For sufficiently large values of n, there exists an input of size ʼn which causes the algorithm to
do at least c. n² multiplications (for some choice of c).
Transcribed Image Text:Q1.1 Big Omega 1 Point Select the option which best matches the meaning of: ƒ(n) = N(n²) For sufficiently large values of n, every input of size n causes the algorithm to do at least c. n² multiplications (for some choice of c). For sufficiently large values of n, every input of size n causes the algorithm to do at most c · n² multiplications (for some choice of c). For sufficiently large values of n, there exists an input of size n which causes the algorithm to do at most c. n² multiplications (for some choice of c). You cannot analyze a worst-case running time using , so the statement is meaningless. n For sufficiently large values of n, there exists an input of size ʼn which causes the algorithm to do at least c. n² multiplications (for some choice of c).
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