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

Logic, to calculate the amount to be paid by a customer buying yummy cupcak...

to calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party

Problem : Change to palindrome, A palindrome is a string that reads the sam...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

GPA Calculator, I am having trouble declaring a variable and returning a va...

I am having trouble declaring a variable and returning a value from my function.

Miss, Depreciation to a salvage value of 0. For tax purposes an item m...

Depreciation to a salvage value of 0. For tax purposes an item may be depreciated over a period of several years, n. With the straight line method of depreciati

Online Tutor Available, I am an online tutor who can teach computer science...

I am an online tutor who can teach computer science and programming language. Is there any requirement for this?

Pointer, void main() { int *p, *q, i ; p=(int*)100; q=(int*)200; i=q-p; pr...

void main() { int *p, *q, i ; p=(int*)100; q=(int*)200; i=q-p; printf("%d",i); } }

Calculation of mortgage interest rates, 1. When developing this project in ...

1. When developing this project in a Win32 Console Applications that includes the precompiled headers, enter in the Name: box, PRJ2[Your Full Last Name][Your First Initial] with no

#grounded header link list, i want programs on grounded header linked list

i want programs on grounded header linked list

Define inheritance?, Define inheritance?

Define inheritance?

Data structure, railway reservation

railway reservation

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