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

Area under curve. , Write a program to find the area under the curve y = f(...

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

A palindrome is a string that reads the same from both the e, submitting so...

submitting solutions in C language should not use functions from / as these files do not exist in gcc

Define array of objects, Array of Objects A class is a template, which ...

Array of Objects A class is a template, which can contain data items as well as member functions to operate on the data items. Various objects of the class can also be declared

C program for bank account, Aim: To implement a program for bank account u...

Aim: To implement a program for bank account using static data type. Code: class bank {             static int acc_no;             int acc;             float b

Introduction of computer and programming concept, Classify computer system ...

Classify computer system according to capacity. How they are different from computers according to the classification of technology. Provide comparative study also.

Explain multiple inheritance with a common base, Multiple inheritance with ...

Multiple inheritance with a common base (Hybrid Inheritance) Inheritance is an important and powerful feature of OOP. Only the imagination of the person concerned is the limit.

Explain the #undef directive, The #undef Directive This directive undef...

The #undef Directive This directive undefines a previously explained macro. For, example the following will give an error since PI is undefined.                 #define PI 3

Recursive function, Binomial coefficients are the numeric factors of the pr...

Binomial coefficients are the numeric factors of the products in a power of a binomial such as (x + y)n. For example, (x + y)2 = x2 + 2 x y + y2 has the coefficients 1 2 1. Binomia

Jewel polishing, Byteland county is very famous for luminous jewels. Lumino...

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

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