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

Write code in visual studio 2010, I have a mini project where I need to wri...

I have a mini project where I need to write a code .wonder if someone can help me.I already have the forms and webmaster page done just need to code portion

Lowest cost entry, code for solving optimal solution for matrix

code for solving optimal solution for matrix

Data structyres, What data structure would you mostly likely see in a nonre...

What data structure would you mostly likely see in a nonrecursive implementation of a recursive algorithm?Minimum 100 words accepted#

Arrays, how to write the code for operation research

how to write the code for operation research

Pebble merchant, 3 kilograms of peebles are needed for converting an area o...

3 kilograms of peebles are needed for converting an area of 1 square meter.the rate of the peeble is 5 per kilogram

Restart, how to create program in c that will system restart

how to create program in c that will system restart

What are the differences among a struct in c & in c++?, A: In C++ a struct ...

A: In C++ a struct is alike to a class except for the default access specifier( refer to other question in the document). In C we ought to include the struct keyword while declarin

Change to palindrome, A palindrome is a string that reads the same from bot...

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

Need a solution, Hello. I need a solution for this assignment. It is for C+...

Hello. I need a solution for this assignment. It is for C++ Language: Create a BusinessPartner class that contains a first name, company name, and a telephone number. Create a Con

Define procedure that take argument or return integral value, Simpson's Rul...

Simpson's Rule is a more accurate method of numerical integration than the method described in class. Using Simpson's Rule, the integral of a function f between a and b is approxim

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