User Account

All Pages

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(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 between two points can b

Write a procedure to add and subtract-money, Money is immutable and is asso...

Money is immutable and is associated with a currency. When two money entities are added or subtracted be sure to consider currency conversion. You must create a money object result

Area, Write a program to find the area under the curve y = f(x) between 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 between two points can b

Computer programming, what is computer programming

what is computer programming

Describe faster ++i or i++, A: The answer to this lies actually, how they u...

A: The answer to this lies actually, how they used. Along ++i(PreIncrement) the variable is incremented and new value is returned. Thus it needs one instruction to increment the va

Lennie, Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to ca...

Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to calculate the amount due for setting the bail. Lennie requires something of value as collateral, and his fee is 10%

#pebblemerchant.h, pebblemerchant

pebblemerchant

Padovan string, write a program that counts the number of occurrences of th...

write a program that counts the number of occurrences of the string in the n-th padovan string p(n)   program 1 : package test.padovanstring; public class PadovanString {

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

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

Static optimality theorem, Question 1 Describe the following with respect ...

Question 1 Describe the following with respect to pointers in C language- Pointers and Arrays Usage of Pointers in functions Write programs in C to demonstrate the

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd