Consider the following brute force factoring algorithm. What is its run time of the worst case? Input: Integer N greater than 1. Output: Two integers, x and y, such that x y = N, or the statement "N is prime". . For x = 2 to floor of √√N If x evenly divides N Return(x, N/x) End-for Return("Prime"
Consider the following brute force factoring algorithm. What is its run time of the worst case? Input: Integer N greater than 1. Output: Two integers, x and y, such that x y = N, or the statement "N is prime". . For x = 2 to floor of √√N If x evenly divides N Return(x, N/x) End-for Return("Prime"
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:Consider the following brute force factoring algorithm. What is its run time of the worst case?
Input: Integer N greater than 1.
Output: Two integers, x and y, such that x y = N, or the statement "N is prime".
For x=2 to floor of √√N
If x evenly divides N,
Return(x, N/x)
End-for
Return("Prime"
O O(n)
0
O(√√n)
OO(n logn)
O 0 (n²)
(Ctrl)
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