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

Curve, 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

Padovan string., #question.A Padovan string P(n) for a natural number n is ...

#question.A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a s

Vision based simultaneous mapping and localization, Project Description: ...

Project Description: Design and prepare software that can navigate a mobile robot using SLAM technique using vision sensor (camera). Skills required are C Programming, Engine

#title.jewel polish., Ask questionByteland county is very famous for lumino...

Ask questionByteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular

Constructor, Why copy constructor accepts reference to an object and not t...

Why copy constructor accepts reference to an object and not the object itself, whether ah hence it we do otherwise

C program to print r diagonal triangle, C program to print R diagonal trian...

C program to print R diagonal triangle: #define rows 3 #define cols 3 void main() {                 int i=0,j=0;                 int arr[rows][cols];

Explain redirection in c++?, Question 1 . Write a brief note on Aggregation...

Question 1 . Write a brief note on Aggregation Question 2 . Discuss briefly on constructors Question 3 . What are the important advantages of Inheritance? Question 4 .

Gene program, Many human diseases could be controlled by the knowledge of t...

Many human diseases could be controlled by the knowledge of the gene’s structure and pattern. The human gene could be represented by four nucleotides. Each nucleotide is represente

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