Let T(n) be the number of operations an algorithm needs to solve a problem of size n. We say that an algorithm runs in the order of O (log₂ n) if there exists a constant c, such that for every sufficiently large n, the following holds true (select the correct definition). T (n) ≥ clog₂ n T(n) ≤ n log₂ n T (n) ≤ clog₂ n T (n) clog₂ n T (n) = log₂ n
Let T(n) be the number of operations an algorithm needs to solve a problem of size n. We say that an algorithm runs in the order of O (log₂ n) if there exists a constant c, such that for every sufficiently large n, the following holds true (select the correct definition). T (n) ≥ clog₂ n T(n) ≤ n log₂ n T (n) ≤ clog₂ n T (n) clog₂ n T (n) = log₂ n
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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![Let T(n) be the number of operations an algorithm needs to solve a problem of size n. We say that an algorithm runs in the order of O (log₂ n) if there exists a constant c,
such that for every sufficiently large n, the following holds true (select the correct definition).
T(n) ≥ clog, n
T (n) ≤ n log₂ n
T (n) ≤ clog₂ n
T (n) ‡ clog₂ n
T (n) = log₂ n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e2eb8b4-c0e7-4c9e-ad6c-29668f1c67b6%2F5dd8bbd6-2c02-4972-ba8e-e810cdd6e904%2Fmg3wiaf_processed.png&w=3840&q=75)
Transcribed Image Text:Let T(n) be the number of operations an algorithm needs to solve a problem of size n. We say that an algorithm runs in the order of O (log₂ n) if there exists a constant c,
such that for every sufficiently large n, the following holds true (select the correct definition).
T(n) ≥ clog, n
T (n) ≤ n log₂ n
T (n) ≤ clog₂ n
T (n) ‡ clog₂ n
T (n) = log₂ n
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