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2. Strictly Increasing Given a function, f(x), which is a strictly increasing function, define an algorithm that finds the smallest positive integer, n, for which the function, f(n) becomes positive. The challenge here is to solve this by defining an algorithm that runs on O(log n) time complexity.

2. Strictly Increasing Given a function, f(x), which is a strictly increasing function, define an algorithm that finds the smallest positive integer, n, for which the function, f(n) becomes positive. The challenge here is to solve this by defining an algorithm that runs on O(log n) time complexity.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Given is a strictly increasing function, f(x). Strictly increasing meaning: f(x)< f(x+1). (Refer to the example graph of functions for a visualization.)

Now, define an algorithm that finds the smallest positive integer, n, at which the function, f(n), becomes positive.

The things left to do is to:

Describe the algorithm you came up with and make it O(log n).

Strictly Increasing function Strictly increasing y f(x) f(x) As x moves right, y gets bigger
Transcribed Image Text:Strictly Increasing function Strictly increasing y f(x) f(x) As x moves right, y gets bigger
2. Strictly Increasing Given a function, f(x), which is a strictly increasing function, define an algorithm that finds the smallest positive integer, n, for which the function, f(n) becomes positive. The challenge here is to solve this by defining an algorithm that runs on O(log n) time complexity.
Transcribed Image Text:2. Strictly Increasing Given a function, f(x), which is a strictly increasing function, define an algorithm that finds the smallest positive integer, n, for which the function, f(n) becomes positive. The challenge here is to solve this by defining an algorithm that runs on O(log n) time complexity.
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