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

Function, #q•Design and code a new function that accepts as parameters the ...

#q•Design and code a new function that accepts as parameters the gross pay by value and the federal tax, state tax, local tax, SS tax, and net Pay by reference. Calculate the taxes

Purchasing code signing certificate, Purchasing Code Signing Certificate ...

Purchasing Code Signing Certificate I want to purchase a Code Signing Certificate in good standing from someone in order to sign my .EXE programs with. Please be aware I do n

How can one "reopen" std::cin & std::cout in binary mode?, A: It is impleme...

A: It is implementation dependent. Verify with your compiler's documentation. For instance, assume you wish to do binary I/O using std::cin & std::cout. Unluckily there is no st

Why shouldn''t matrix class''s interface look like an array, Why shouldn't ...

Why shouldn't Matrix class's interface look like an array-of-array? A: Some people build a Matrix class that has an operator[] that returns a reference to an Array object (or po

Compiler design-limit the methods, Problem : Compiler Design - Limit the me...

Problem : Compiler Design - Limit the methods Rahul is a newbie to the programming and while learning the programming language he came to know the following rules: ·

Program Assignment #3, Programming Assignment #3: Vehicle Track Performance...

Programming Assignment #3: Vehicle Track Performance Tests Purpose: The purpose of this programming assignment is to give the student experience in using functions, arrays, and str

E^x, Write a program to calculate e^x using the formula: e^x = 1 + x/1! + ...

Write a program to calculate e^x using the formula: e^x = 1 + x/1! + x^2/2! + x^3/3! + ...... Allow the user to enter the integer number x, then do the calculation in a loop (for

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

AREA UNDER CURVE, Write a program to find the area under the curve y = f(x)...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

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