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 function that take array as argument, Write a function that takes an ...

Write a function that takes an array as the argument and returns the second largest element. Bonus (+5): Write a function that takes an array and a number n as arguments and return

Define difference among delete and delete[]?, when you allocate memory with...

when you allocate memory with new[], you ought to free the memory via delete[]. While you allocate memory along 'new', then use 'delete' with no the brackets. You employ new[] to a

Explain the declaration of multi dimensional arrays, Explain the Declaratio...

Explain the Declaration of Multi Dimensional Arrays? In the figure, the range in the first dimension is 3 and in the second dimension is 4. The shaded portion corresponds to th

Copy constructor and overloaded assignment operator, please provide me the ...

please provide me the assignment help. What is the difference between a copy constructor and an overloaded assignment operator?

Advanced error checking and structures, It is standard on functions to prov...

It is standard on functions to provide some indication that the function has succeeded in its operation. Consider the Scanf function:     scanf("%d",&number1);   If the functio

Skilled programmer is required to build a standalone module, A skilled prog...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module can take R

Define the bitwise operators in c language, Define the Bitwise Operators in...

Define the Bitwise Operators in c language? C has distinction of supporting special operators that known as bit wise operators for manipulation of data at bit level. These oper

C programming, a c program to find the volume of sphere

a c program to find the volume of sphere

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