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

The Shell or Command Line Interpreter is the fundamental Use, 1. The shell ...

1. The shell must support the following internal commands: i. cd - Change the current default directory to . If the argument is not present, report the current directory. If t

Ascii string related, A string S is said to be "Super ASCII", if it contain...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

C program to demonstrate pointer to variable, C program to demonstrate Poin...

C program to demonstrate Pointer to variable: void p2a(int *); void main() {                 int x=10, *a,**b;                 int arr[5];                 //poin

Credit Card Validation Check digit, Use 16 digit credit card numbers that c...

Use 16 digit credit card numbers that contain 15 digits an 1 check digit. The format of the card number consists of the 15 digits followed by the check digit. The check digit is co

Add the two complex no.s given by user - c++ program, THIS PROGRAM IS TO AD...

THIS PROGRAM IS TO ADD THE TWO COMPLEX NO.S GIVEN BY THE USER  */ #include #include #include struct complex     {     int real;     int imag;     }; void main()  {  clrs

Determine the capacitor voltage by c program, Write a program to determine ...

Write a program to determine V c for a given value of time (t)   #include stdio.h #include math.h void main() {      char prompt;   float vs,cr,t,vc;   /* input time */

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Android - iphone mobile game, I am seeking a developer to create a mobile g...

I am seeking a developer to create a mobile game for me. I want an endless runner game with simple controls. The game needs to be a 3D game in a 2D view. The graphics and animation

Using c language, I have a program and I want someone to fix it for me by u...

I have a program and I want someone to fix it for me by using basic c language program.

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