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

Why are all header files not declared in every c program, Why are all heade...

Why are all header files not declared in every C program? - Declaring all header files in each program would result in increase in overall file size and load of the program. It

Bar chart and pie chart programs with source code, bar chart and pie chart ...

bar chart and pie chart programs with source code

C program to check even & odd no, C Program to Check  EVEN & ODD NO   ...

C Program to Check  EVEN & ODD NO   main() {           int n, a;           clrscr();           printf("ENTER ANY NUMBER: ");           scanf("%d", &n);

Flowchart, create a flowchart that display the assume that there are 3 sect...

create a flowchart that display the assume that there are 3 section each student ?

AREAS, Write a program to find the area under the curve y = f(x) between 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. The area under a curve between two points can b

Develop banking software and payment gateway system, Project Description: ...

Project Description: 1) Develop banking software 2) Payment Gateway System There is some other system available for development. I'm willing to show long-term opportunity

Database, write a c++ program to update employee records

write a c++ program to update employee records

Programing, #question. write a program number to alphabet in c++..

#question. write a program number to alphabet in c++..

C program to define power of a function, C program to define power of a fun...

C program to define power of a function: Write a program to use power of a function. void main() { int x,y,po=1,i,j; clrscr();   printf("Give x,y\n"); sca

Padovan string, padovan string generation till 40

padovan string generation till 40

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