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

C programs, 2. a) Define a structure to store roll no, name and marks of a ...

2. a) 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

Program to calculate pie, This problem familiarizes you with using random n...

This problem familiarizes you with using random numbers in C++. The program is to compute a good approximation of p using a simulation method called "Monte Carlo". The following fi

A string S convert it to a palindrome by doing chara, A palindrome is a str...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

CarDealership, ABC Car Dealership needs your help to update the ordering sy...

ABC Car Dealership needs your help to update the ordering system. This car dealer is selling four types of vehicles: Sedan, Truck, SUV, and mini Van. And each type of vehicle can h

Integration, to find the area under the curve y = f(x) between x = a and x ...

to find the area under the curve y = f(x) between x = a and x = b

Write short note on c++, Introduction to C++ C++ was developed by Bjarn...

Introduction to C++ C++ was developed by Bjarne Stroustrup at Bell Laboratories in 1983. Originally, it was known as " C with class". C+ as an enhancement to the C language was

How many non-letters are included in the string, Write a fully modular C pr...

Write a fully modular C program that reads in a string of a defined size from the keyboard and reports how many times each letter of the alphabet occurs within that string (ignorin

Areaundercurve.c, Write a program to find the area under the curve y = f(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. The area under a curve betw   Solution:

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