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 illustrate passing structure to function, Write a Progra...

Write a Program to illustrate passing structure to function? # include struct customer { int id; char name[15]; }; void func_struct(struct customer); main() { struct c

Explain external variables, External Variables Different functions of t...

External Variables Different functions of the similar program can be written in different source files and can be compiled together. The scope of a global variable is not limit

Reverse digit function, how can i write reverse digit function like writing...

how can i write reverse digit function like writing 1234 and printing 4321

Dynamic constructor, dynamic initialization of object using constructor in ...

dynamic initialization of object using constructor in C++

C program for function of merge , C Program for FUNCTION OF MERGE #inc...

C Program for FUNCTION OF MERGE #include conio.h> #include stdio.h> char cot(char a[],char b[]); void main() {           char a[50],b[50];           clrscr()

PROGRAM, TO CONVERT A NUMBER OR A DIGIT INTO ALPHABET

TO CONVERT A NUMBER OR A DIGIT INTO ALPHABET

Refactoring, Refactoring Project Description: TASK 1 - DESIGN ALGORIT...

Refactoring Project Description: TASK 1 - DESIGN ALGORITHM You are required to design a suitable solution algorithm by using structured chart, pseudocode or flowchart. Thi

Can i overload operator == so it allow me compare two char[], Q: Can I over...

Q: Can I overload operator == so it allow me compare two char[] by a string comparison? A: No: at least one operand of particular overloaded operator should be of some user-defi

Binary search tree is constructed by repeatedly, Assume that a Binary Searc...

Assume that a Binary Search Tree is constructed by repeatedly inserting exact values in to the tree. Argue that the number of nodes examined in searching for a value in the tree is

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