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

Can i employ realloc() on pointers allocated through new?, A: No.       ...

A: No.       While realloc() need to copy the allocation, this uses a bitwise copy operation, that will tear several C++ objects to shreds. C++ objects must be allowed to copy t

Named what can derived class add?, New data members  New member function...

New data members  New member functions  New constructors and destructor  New friends

Compiler design-limit the methods, Ask question #Minimum 100Problem : Compi...

Ask question #Minimum 100Problem : Compiler Design - Limit the methods Rahul is a newbie to the programming and while learning the programming language he came to know the followi

Area under curve, Write a program to find the area under the curve y = f(x)...

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.

Program that implements a digital clock, Write C code for a program that im...

Write C code for a program that implements a digital clock (HH:MM:SS). The clock includes a two-digit hour indicator HH (00-23), a two-digit minute indicator MM (00-59), and a t

Program Preprocessor variable postfix , Run the following C++ program with ...

Run the following C++ program with and without preprocessor variable POSTFIX defined. #include using namespace std; extern "C" int atoi( const char *str );

Program for dynamic 2d memory, Requirements: 1.  This assignment as well...

Requirements: 1.  This assignment as well as other assignments in this class must be finished on Windows operating system. 2.  Zip your program and submit the zip file on ANG

Explain the loop statements in computer programming, Explain the Loop State...

Explain the Loop Statements in Computer Programming? 1. C gives you a choice of three kinds of loop, while, do while and for. 2. The while loop remain repeating an action until

Explain multiple inheritance with a common base, Multiple inheritance with ...

Multiple inheritance with a common base (Hybrid Inheritance) Inheritance is an important and powerful feature of OOP. Only the imagination of the person concerned is the limit.

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