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

Algorithms flow charts and psuedocode, How to write C program (interest cal...

How to write C program (interest calculator) the simple interest on a loan is calculated by the formula interest=principal*rate*days/365; ?

Programing, Define a structure to store roll no, name and marks of a studen...

Define a structure to store roll no, name and marks of a student. b) Using the structure of Q2. a), above write a ''C'' program to create a file "student.dat". There must be one r

Described multiple inheritance(virtual inheritance)?, Described multiple in...

Described multiple inheritance(virtual inheritance)? And explain its advantages and disadvantages? A: It is the procedure in which a child can be derived from more than one pare

How to make a triangle number, i wont to make triangle with number but numb...

i wont to make triangle with number but number from the largest possible number to 01 (reversed).

#title., A student apears in exam of math, physics, and chemistry. Write a...

A student apears in exam of math, physics, and chemistry. Write a program to find the total marks aa student has aqueired find the average.

Explain syntax rules for writing constructor functions, Syntax rules for wr...

Syntax rules for writing constructor functions Its name must be similar as that of the class to which it belongs. It is declared with no return type (not even void). Ho

Describe, A: Use operator overloading to present a friend right-shift opera...

A: Use operator overloading to present a friend right-shift operator, operator>>. It is similar to the output operator, except the parameter doesn't contain a const: "Fred&" instea

Define four facilities provided by c language preprocessor, Define Four Fac...

Define Four Facilities Provided by C Language Preprocessor? The C language preprocessor provides four separate facilities that you can use as you see fit:   Inclusion

Briefly describe how a linear search algorithm works, Question 1: (a) D...

Question 1: (a) Describe the following objects and condition states: (i) ifstream and ofstream objects (ii) eof(), fail(), bad() and good() functions. (b) Write a C++ pr

Quick Homework, Write three functions in C or C++: one that declares a larg...

Write three functions in C or C++: one that declares a large array statically, one that declares the same large array on the stack, and one that creates the same large array from t

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