For edch the following expressions, give the big-o notation Statements Number of steps (4n + 2n)3 7n + 5(2") + 2log2n 2log2n + 2n + 3nlog,n + 100 n+ log,n + 5n2 + n² - 6n? 4log2n + 5n? b. Based on the answers in (a), reorder the efficiencies from smallest (1) to largest (5) complexity: Sequence Order Complexity 1 3 4.

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
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a. For each of the following expressions, give the big-O notation.
Statements
Number of steps
(4n + 2n)3
7n + 5(2") + 2log2n
2log,n + 2n + 3nlog,n + 100
n+ log,n + 5n² + n? - 6n?
4log2n + 5n?
b. Based on the answers in (a), reorder the efficiencies from smallest (1) to largest (5) complexity:
Sequence Order
Complexity
1
2
3
4
Transcribed Image Text:a. For each of the following expressions, give the big-O notation. Statements Number of steps (4n + 2n)3 7n + 5(2") + 2log2n 2log,n + 2n + 3nlog,n + 100 n+ log,n + 5n² + n? - 6n? 4log2n + 5n? b. Based on the answers in (a), reorder the efficiencies from smallest (1) to largest (5) complexity: Sequence Order Complexity 1 2 3 4
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