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

STM32F103RET6, traffic light t junction I have 21 LEDs will 6 in each side...

traffic light t junction I have 21 LEDs will 6 in each side 3 for the cars the other 3 will be for the people across the street this will be for each side and the last 3 for show

Luminous and jewels, Byteland county is very famous for luminous jewels. 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

Displays the lower case and upper case alphabetical letters, Write a progra...

Write a program that displays both the lower case and upper case alphabetical letters using the following Format Lowercase        Uppercase a                        A

Required code for problem, 6#666#665533999 where # is used as space.output ...

6#666#665533999 where # is used as space.output is monkey

C program to create, Aim: To implement a program to create, update & displ...

Aim: To implement a program to create, update & display account & admin record of person using display account & admin records of person using virtual base class.. Code:

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

PEBBLE MERCHANT, There is a pebble merchant. He sells the pebbles, that are...

There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometimes mistakes doing that

Write a program to illustrate array with strings, Write a Program to illust...

Write a Program to illustrate Array with Strings? main() { static char name[]="devdas"; int i; i=0; while(name[i]!='\0') { printf("%c",name[i]); i=i+1; } } In the

Program to calculate average of marks, Program for calculate average of tot...

Program for calculate average of total marks: #include using namespace std; void print(int marks_arr[],int cnt) { int ind[cnt]; int i=0; int j=0; int k=0;

Reverse digit function, how can i write reverse digit function like writing...

how can i write reverse digit function like writing 1234 and printing 4321

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