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

Explain function overloading, Function Overloading Function overloading...

Function Overloading Function overloading is a form of polymorphism. Function overloading facilitates explaining one function having many forms. In other words it facilitates e

code, direction[] = {L,R,R,L,L,R,R,R,R,L,Z} length[]= {2,2,1,1,1,2,5,2,2,3...

direction[] = {L,R,R,L,L,R,R,R,R,L,Z} length[]= {2,2,1,1,1,2,5,2,2,3,1}

Load catalogue from file, Implement a menu driven real estate catalogue sys...

Implement a menu driven real estate catalogue system that allows users to perform various catalogue maintenance and search tasks.  You are only allowed to use the C programming la

Luminous jewel - a polishing game, Byteland county is very famous for lumin...

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

Explain looping statements, Looping Statements The statements usually u...

Looping Statements The statements usually used for looping are for, do-while, while. The goto statement can be used for looping, but its use is generally avoided as it leads to

Program that implements a digital clock, Write C code for a program that im...

Write C code for a program that implements a digital clock (HH:MM:SS). The clock includes a two-digit hour indicator HH (00-23), a two-digit minute indicator MM (00-59), and a t

Pointers, When declaring a variable of data type pointer, use the * in fron...

When declaring a variable of data type pointer, use the * in front of the variable name. These variables hold a memory location (like B45CDF), not an actual value like 30 or A:

Encoding and decoding, program for decode the encoded numbering format into...

program for decode the encoded numbering format into message

Compiler related, Please give me a programming code of first & follow wit...

Please give me a programming code of first & follow with c or c++ laqnguage .When anyone give me the programming code of first & follow please explain every lines with the help

#CompilerRelated, #C Why don''t online compilers support the header file?...

#C Why don''t online compilers support the header file? What can I do to resolve this? PS. I have tried , does''nt work either. Thannk in advance.

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