3n+1, C/C++ Programming

Assignment Help:
Consider the following algorithm to generate a sequence of numbers. Start with an integer n. If n is even, divide by 2. If n is odd, multiply by 3 and add 1. Repeat this process with the new value of n, terminating when n is equal to 1. For example, the following sequence is generated for n = 22:

22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

It is conjectured (but not yet proven) that this algorithm will terminate at n is equal to 1 for every integer n. The conjecture holds for integers up to at least 1,000,000.

For an input n, the cycle-length of n is the number of numbers generated up to and including the 1. In the example above, the cycle length is 16.

Write a C++ program that repeatedly prompts the user for two numbers, Start and End, and determines the maximum cycle length over all numbers between Start and End, including both endpoints. Assume all inputs are integers less than 1,000,000 and greater than 0. If a negative number is entered for the start, then the program should end immediately.

Sample Command Line Interface: (Bold Signifies User Input)
Start: 1
End: 10
Max: 20

Start: 100
End: 200
Max: 125

Start: 201
End: 210
Max: 89

Start: -3

Related Discussions:- 3n+1

Prepare data from fixed ocr areas scanned, Prepare data from fixed OCR area...

Prepare data from fixed OCR areas scanned. Project Description: Project is to design software which can use character recognition only on certain areas of scanned pdf's/ jpeg

Type compatibility, Define  T y pe c o m p a t i b i li t y? ...

Define  T y pe c o m p a t i b i li t y? T o a s s i g n i n t t o s m a l l i n t t h e v a r i a b l e should b e

What if one can''t wrap the local in an artificial block?, What if one can'...

What if one can''t wrap the local in an artificial block?

Matlab to c conversion, i am a engineering student and am working on a proj...

i am a engineering student and am working on a project in audio processing and so i have designed a FIR filter in Matlab . how can i get my Matlab program converted to C program?

Hw8, Asks the user for an integer. if the number is less than 21, ask them ...

Asks the user for an integer. if the number is less than 21, ask them for a number again; repeat this until you get a number bigger than 20. 20 is not an acceptable number. Once yo

C++ ASSIGNMENT, How much does it cost to complete a C++ assignment that is ...

How much does it cost to complete a C++ assignment that is 80% finished??

Define a class?, Define a class? A: It is an expanded concept of a data ...

Define a class? A: It is an expanded concept of a data structure: rather than holding only data, it can hold data and functions both.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd