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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)
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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