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

What is precedence and order of evaluation, Precedence and Order of evaluat...

Precedence and Order of evaluation The languages follow a standard precedence for basic operators. Precedence rules help in deleting ambiguity of the order of operations perfor

Roman code python help , In general, Roman numerals can be converted mathem...

In general, Roman numerals can be converted mathematically by simply assigning a numerical value to each letter, according to the chart below, and calculating a total: M=1000 | D=5

Main program to test the basic operations, The Main program is slightly mor...

The Main program is slightly more complicated and you need to think about the I/O process. First of all, for most applications you do not call the low level routines GetChar and P

Explain access privileges, Access privileges 1. If the designer of the ...

Access privileges 1. If the designer of the base class needs no one, not even a derived class to access a member, then that member should be made private. 2. If the designer

Input, I want to take 1.1 as input but when I am declaring it as float the ...

I want to take 1.1 as input but when I am declaring it as float the output is given as 1.1000000

Program to check even and odd numbers, Program to check even and odd number...

Program to check even and odd numbers: int main() {                 int  your_number;                 cout                 cin >> your_number;

Explain binary logical bit-wise operators, Binary logical bit-wise operator...

Binary logical bit-wise operators  There are three logical bit-wise operators :                   &             and                 |              or

Decodethecode, 6999066263304447777077766622337778 -----> message sent by th...

6999066263304447777077766622337778 -----> message sent by the first smuggler. my name is robert---------> message decoded by the second smuggler. Where ‘0’ denotes the "space".

Linked list, program for singly linked list with out header

program for singly linked list with out header

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