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

Stack push pop, 2 flowcharts, pseudocode for each (at least 4 algorithms), ...

2 flowcharts, pseudocode for each (at least 4 algorithms), and code for either a stack or a queuestion..

Read three ints from keyboard and store seperatly , Suppose that three inte...

Suppose that three integer variables intA, intB, and intC have already been defined at the beginning of the main function, write a single C++ statement to read three integers from

How do you access the values within an array, How do you access the values ...

How do you access the values within an array? - Arrays comprise a number of elements, which depends on the size you assigned it during variable declaration. - Every element

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

Lexicographic permutation, Ask questioGiven an integer n and a permutation ...

Ask questioGiven an integer n and a permutation of numbers 1, 2 ... , n-1, n write a program to print the permutation that lexicographically precedes the given input permutation. I

When do employ "const" reference arguments in function?, A: 1.      By u...

A: 1.      By using const protects you against programming errors which inadvertently alter data. 2.      By using const allows function to procedure const and non-const actu

Sort wars, Explain each of the algorithms in a way that would be understand...

Explain each of the algorithms in a way that would be understandable to an intelligent person who is not familiar with programming. You should not use any code (or even pseudo code

Super ASCII string cost, A string S is said to be "Super ASCII", if it cont...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Calculation, write a program to calculate the cuboid

write a program to calculate the cuboid

Pointers with an array, // Basic pointer code #include "stdafx.h" #in...

// Basic pointer code #include "stdafx.h" #include iostream using namespace std; int _tmain(int argc, _TCHAR* argv[]) {             int FirstNumber, SecondNumber;

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