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

Describe what are dynamic pointers, Question: (a) Describe what are dy...

Question: (a) Describe what are dynamic pointers. Show their memory representations diagrammatically. (b) Write short notes about pointers in arrays, paying attention on

Palindrome, A palindrome is a string that reads the same from both the ends...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Input and output in c++, C++ improves on many of C's features and provides ...

C++ improves on many of C's features and provides object-oriented programming capabilities used for software production, quality and reusability. C++ was developed by Bjarne Strons

Explain the new and delete operators, The new and delete operators The ...

The new and delete operators The C language has explained library functions- malloc() and free() for dynamic allocation and de-allocation of memory. C++ gives yet another appro

There are ''''n'''' ants on a ''''n+1'''' leng n, There are ''''n'''' ants ...

There are ''''n'''' ants on a ''''n+1'''' length rod. The ants are numbered from 1 to n and are initially placed at positions starting from position 1 till position n. They are mov

Virtual memory implementation, I need help with virtual memory manager impl...

I need help with virtual memory manager implementation in C

Thermodynamics, want to solve the thermodynamics problems on c language

want to solve the thermodynamics problems on c language

Explain scope rules and storage classes, Scope Rules and Storage Classes ...

Scope Rules and Storage Classes The storage class verifies the life of a variable in terms of its duration or its scope. There are four storage classes : automatic static

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