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

#tit, 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

C program for the no are in ascending order , #include stdio.h> #include...

#include stdio.h> #include conio.h> #include string.h> void main() {           int i=0,j=0,k=0,l=0;           int a[3][3],temp[3][3];           clrscr();

Coding, d county is very famous for luminous jewels. Luminous jewels are us...

d county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Necklaces

How do you know that your class requires virtual destructor, How do you kn...

How do you know that your class requires a virtual destructor? A: If at least your class has one virtual function, you must make a destructor for this class virtual. It will let

Program, c | c-c-c-c-c | c-c-C-c-c | ...

c | c-c-c-c-c | c-c-C-c-c | c find distance between difftent carbon atom by programing

Define a procedure called make-avl-tree, This question deals with AVL trees...

This question deals with AVL trees. The representation to be used is similar to the bank account object discussed in class. (a) Define a procedure called make-avl-tree which mak

Write a program that allows two players to play connect four, You may work ...

You may work in pairs for this assignment. Submit only one project per team; both partners will receive the same grade. Also, you can earn up to 40 points (out of 25) on this assig

Student, Ask4. Write a query to display the columns listed below. The query...

Ask4. Write a query to display the columns listed below. The query should list each customer in which the video rental is overdue. The Days_Overdue column should calculate the numb

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