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

Write a program to change the matrix program, Change the matrix program (pr...

Change the matrix program (program 3) slightly. Overload == operator to compare two matrices to be added or subtracted. i.e., whether the column of first and the row of second

Programming, hello i have about 15 hours the dead line I Need a program in...

hello i have about 15 hours the dead line I Need a program in c language that''s determine the router ip or the gateway ip of the current NIC example the router ip is: 192.168.1.1

Program to define an array in c, Program to define an array in c: Writ...

Program to define an array in c: Write a program to define an array and print the value of array. void main() { int a[10]={0,11,21,34,44,75,46,57,88,89},i,j,k; clr

Minimization and karnaugh maps, There are formal ways of reducing Boolean e...

There are formal ways of reducing Boolean expressions in order to minimize the logic circuit. The two elementary ways of minimization are using Boolean expressions/De Morgan Theore

Program for implement vectors and iterators, - Write a program using vector...

- Write a program using vectors and iterators that allows a user to maintain a personal list of DVD titles. The user should be able to view all DVD titles in his library, add and d

Program is to define a class as teacher, Program is to define a class as te...

Program is to define a class as teacher: Program is to define a class as teacher and collect information about them by using classes and object class teacher   {   pr

Minimum shelves, write a c++ program, that finds the minimum total number o...

write a c++ program, that finds the minimum total number of shelves, including the initial one, required for this loading process.

Assigment, Hi is there any chance to get assignment for fresher tutor

Hi is there any chance to get assignment for fresher tutor

Expression in c++, expression and its types with example programs

expression and its types with example programs

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