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

How can one encourage his (older) compiler , Q: How can one encourage his (...

Q: How can one encourage his (older) compiler to check new to see automatically if it returns NULL?       A: His compiler eventually will. If he contain an old compiler wh

CptS 121 Program Development & Design program design in C, Write a program...

Write a program that performs character processing on 10 characters read in from a file, and writes the results to output files. Do NOT use loops or arrays to solve this problem. N

Padovan string ., #questio#A Padovan string P(n) for a natural number n is ...

#questio#A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concate

C++, padovan string c++ program

padovan string c++ program

Is there present a way to force new to allocate memory, Yes. "Memory pools"...

Yes. "Memory pools" are useful in many situations. The bad news is that I'll need to drag you through the mire of how it acts before we talk about all the uses. Firstly, recall

Get all table list from current database , i am using otlv4 for database co...

i am using otlv4 for database connecttvity, while i try to get all tables list from current database using query "$SQLTables" no output is displayed though programe compiles coretl

Compiler Design - Limit In The Method Instructions, Raj is a newbie to the ...

Raj is a newbie to the programming and while learning the programming language he came to know the following rules: · Each program must start with ''{'' and end with ''}''

Define the bitwise operators in c language, Define the Bitwise Operators in...

Define the Bitwise Operators in c language? C has distinction of supporting special operators that known as bit wise operators for manipulation of data at bit level. These oper

Academic expert for genetic algorithm, Academic expert for Genetic Algorith...

Academic expert for Genetic Algorithm Project Description: Seeking academic expert for Genetic Algorithm. Skills required are Academic Writing, Algorithm, C++ Programming,

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