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

Pointer, how to use a pointer variable?

how to use a pointer variable?

File IO, I''m trying to write a function that prints the substring if it is...

I''m trying to write a function that prints the substring if it is found in the string, and after it prints it deletes it from the string so i could print the next substring if it

Declaration of variables in cpp, Declaration of Variables: Variables ar...

Declaration of Variables: Variables are declared as follows: int a; float b;   Assigning value to variables: int a = 100; Declaring and assigning is called ini

What is a hash function, What is a hash function? Hash function: This ...

What is a hash function? Hash function: This is the method from the set 'K' of keys into the set 'L' of memory addresses.   H: K → L These are used to verify the address

Programming C/C++ need a answer, 3. Write a program to encrypt and decrypt...

3. Write a program to encrypt and decrypt strings of characters using the following ciphers: a) Caesar cipher b) Vigenere cipher c) Matrix transposition cipher Your program shoul

Answer, Write a program to find the area under the curve y = f(x) between 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.

Decodethecode, how to decode the numerals to string..

how to decode the numerals to string..

Explain bit-wise operators, Bit-wise Operators Some applications requir...

Bit-wise Operators Some applications require operations to be done on dissimilar bits of a byte separately. Bit-wise operators offer a facility to do just that. There are vario

Explain hiding overloaded functions, Hiding overloaded functions We can...

Hiding overloaded functions We cannot overload a base class function by redefining it in a derived class with a dissimilar argument list. Consider examples to see if similar fu

Minimum shelfs, Write a program that finds the minimum total number of shel...

Write a program that finds the minimum total number of shelves, including the initial one required for this loading process

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