Select the asymptotic worst-case time complexity of the following algorithm: Algorithm Input: a1, a2,. an, a sequence of numbers n, the length of the sequence x, a number Output: ?? For i = 1 to n-1 For j = i+ 1 to n For k=1 to n If ((ai)^2 + (aj)^2 = (ak)^2) Return("True") End-for End-for End-for Return("False") 1) 0(1) 2) 0 (n) 3) 0 (n²) 4) 0(n³)
Select the asymptotic worst-case time complexity of the following algorithm: Algorithm Input: a1, a2,. an, a sequence of numbers n, the length of the sequence x, a number Output: ?? For i = 1 to n-1 For j = i+ 1 to n For k=1 to n If ((ai)^2 + (aj)^2 = (ak)^2) Return("True") End-for End-for End-for Return("False") 1) 0(1) 2) 0 (n) 3) 0 (n²) 4) 0(n³)
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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Question
![Select the asymptotic worst-case time complexity of the following algorithm:
Algorithm
Input: a1, a2, ..., an, a sequence of numbers
n, the length of the sequence
x, a number
Output: ??
For i
=
1 to n-1
For j=i+1 to n
For k = 1 to n
If ((ai)^2 + (aj)^2 = (ak)^2) Return("True")
End-for
End-for
End-for
Return( "False")
1) 0(1)
2) 0(n)
3) 0(n²)
4) 0(³)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada2d32d-a176-418f-aab9-c8e9e8a4e1ba%2F794db26e-3d30-4c06-a97f-37a2310ced82%2Fc88dw7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Select the asymptotic worst-case time complexity of the following algorithm:
Algorithm
Input: a1, a2, ..., an, a sequence of numbers
n, the length of the sequence
x, a number
Output: ??
For i
=
1 to n-1
For j=i+1 to n
For k = 1 to n
If ((ai)^2 + (aj)^2 = (ak)^2) Return("True")
End-for
End-for
End-for
Return( "False")
1) 0(1)
2) 0(n)
3) 0(n²)
4) 0(³)
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