User Account

All Pages

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

C program for function of divider , C Program for FUNCTION OF DIVIDER ...

C Program for FUNCTION OF DIVIDER int gcd(int , int); void main() {           int m=0,n=0,k=0;           clrscr();           printf("ENTER THE FIRST DIGIT: ");

C++, write a c++ program for minimum shelf downloads

write a c++ program for minimum shelf downloads

#title areaundercurve.c, Write a program to find the area under the curve y...

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 b

Create a album using multi-dimensional arrays, Create a Document that show ...

Create a Document that show information about albums. First create a paragraph or two about the purpose of the page and your interests in music: genres, styles, etc. Next have a

Superposition of waves, a program code for superposition of sine waves

a program code for superposition of sine waves

Operators, write a program to accept ten numbers and display the total

write a program to accept ten numbers and display the total

Constructor , What is constructor or ctor? need help

What is constructor or ctor? need help

Data structure, convert BST into sorted doubly linked list

convert BST into sorted doubly linked list

State six typical application of primary cells, Normal 0 false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Explain the goto statement, The goto statement This statement can be us...

The goto statement This statement can be used to branch to another statement of the program. This is rarely used as it violates the principle of structured programming. Though

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd