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 array, Write a Program to illustrate Array? ...

Write a Program to illustrate Array? int x[100]; char text[80]; float temp[30]; static int marks[5]; We are able to use symbolic constants instead of expression. The valu

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

Arrays, how to declare arrays

how to declare arrays

#title.digital clock, Write a program to print a digital clock which displa...

Write a program to print a digital clock which displays the time for 2 hours .

Accounts, Write a program to process bank accounts. Create a base class na...

Write a program to process bank accounts. Create a base class named Account and two derived classes named Savings and Checking. In the base class, use an int AccountNum and a dou

C program to add, C program to add, average and deviation of numbers: v...

C program to add, average and deviation of numbers: void main() {                 int sum=0,a[10],i;                 float avg=0,dev,vari=0,var;                 pri

Calculate and display the marks and grade for each student, In this assignm...

In this assignment you are required to develop a program that allows the creation, viewing and storage of information about ITECH7603 Students. In order to complete the task you ha

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

dynamic initialization of object using constructor in C++

Programming an odds betting website, Programming an odds betting website ...

Programming an odds betting website Project Description: We want someone to program a odds betting website, Require someone with experience and skills! Skills required are

C program to replace every occurrence of in a string, Program is to replace...

Program is to replace every occurrence of in a string: Program is to replace every occurrence of c1 in string with c2 and have function return the no. of replacement int re

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