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

Assignment problem, how to write c code to solve assignment problem?

how to write c code to solve assignment problem?

Program to create a query from database, Implement (a part of) electronic e...

Implement (a part of) electronic election Scenario where following political parties are participating in election: PPP, PML and PTI.  Create a class PollingStation where it stor

C++ Program Please see where i do mistake, #include #include #include ...

#include #include #include #include #include class Employee { private: char *Name; //Set them as pointers... int IdNumber; char *Department; char *Position; public: voi

Produce data from fixed ocr areas scanned, Produce data from fixed OCR area...

Produce data from fixed OCR areas scanned. Project Description: Project is to design software which can use character recognition only on certain areas of scanned puff's/ jpe

#psuedocode, Create a pseudocode in getting Calendar Quarter. The program s...

Create a pseudocode in getting Calendar Quarter. The program should identify which quarter falls the given date. Note: Consider the date format DDMMYYYY.

#title.digital clock, Write a program to print a digital clock which displa...

Write a program to print a digital clock which displays the time for 2 hours .

What is a union how does it differ from a structure, Question : (a) (i)...

Question : (a) (i) What is a structure member in C? What is the relationship between a structure member and the structure? (ii) How can structure variables be declared in C?

Parking garage, A parking garage charges a $2.00 minimum fee to park for up...

A parking garage charges a $2.00 minimum fee to park for up to three hours and an additional $0.50 per hour for each hour or part thereof over three hours. The maximum charge for a

Program, Write a ‘C’ program to accept any 3 digit integer number from the ...

Write a ‘C’ program to accept any 3 digit integer number from the keyboard and display the word equivalent representation of the given number.

What is difference between require_once () and require(), What is differenc...

What is difference between require_once (), require(), include()? require() includes and evaluates a specific file, if file isn't found then it shows a Fatal Error. require_

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