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 a program to find the area under the curve y = f(x) between x = a...

#Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can

Padovan string, padovan string for a natural number is defined

padovan string for a natural number is defined

How to define a structure, How to Define a Structure? Structure declara...

How to Define a Structure? Structure declarations are rather more complicated than array declarations, ever since a structure must be defined in terms of its individual members

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Operator overloading - c++ program, Operator overloading - c++ program: ...

Operator overloading - c++ program: Write a program in c to define operator overloading. class matrix{                   private :                 int x[2][2];

C program, what will be the c program for ideal gas equation.

what will be the c program for ideal gas equation.

Discuss polymorphism in c++, Problem 1. Discuss polymorphism in c++. ...

Problem 1. Discuss polymorphism in c++. Explaining Polymorphism 2. Write a program in c++ to read a 3X2 matrix and find smallest number in that matrix. Writin

Program for implement vectors and iterators, - Write a program using vector...

- Write a program using vectors and iterators that allows a user to maintain a personal list of DVD titles. The user should be able to view all DVD titles in his library, add and d

Define the data types of c language, Define the Data Types of c language? ...

Define the Data Types of c language? The C has a concept of 'data types' which are used to define a variable before its use and the definition of a variable will assign storage

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