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

AREAUNDERCURVE, Write a program to find the area under the curve y = f(x) b...

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

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

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

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

Define bitwise left shift and right shift operators, Define Bitwise Left Sh...

Define Bitwise Left Shift and Right Shift Operators: >? The bitwise shift operators shift their first operand right (>>) or left ( // Illustration of the bitwise right shi

Car rental project, I need a project on car rental system using c programmi...

I need a project on car rental system using c programming only of college level

Need a solution, Hello. I need a solution for this assignment. It is for C+...

Hello. I need a solution for this assignment. It is for C++ Language: Create a BusinessPartner class that contains a first name, company name, and a telephone number. Create a Con

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

#Luminous Jewels, #Byteland county is very famous for luminous jewels. Lumi...

#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. Ne

Functions, Define  F u n c t i o n?  T h e r e a r e t...

Define  F u n c t i o n?  T h e r e a r e t w o t y p e s o f f u n ct i o n b u i l t - i n f un ct i o n s a n d u

Luminous Jewels - The Polishing Game, Damjibhai and Shamjibhai are two jewe...

Damjibhai and Shamjibhai are two jeweler friends. They decide to play a simple game. The game comprises of removing the jewels for polishing, turn by turn. Once a jewel is removed

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