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

Define statements to define the constants, the problem description. The ...

the problem description. The order of the C Program should be as follows: Variables and constants Use #define statements to define the constants. Use arr

C program to define power of a function, C program to define power of a fun...

C program to define power of a function: Write a program to use power of a function. void main() { int x,y,po=1,i,j; clrscr();   printf("Give x,y\n"); sca

Board coloring, in this problem u given a board in which some of the eleme...

in this problem u given a board in which some of the elements are placed as shown in diagram below .each element represent a color .fill the other elements in the board such that n

Define array of objects, Array of Objects A class is a template, which ...

Array of Objects A class is a template, which can contain data items as well as member functions to operate on the data items. Various objects of the class can also be declared

Define how passing arrays to a function, Define How Passing Arrays to a Fun...

Define How Passing Arrays to a Function? A complete array can be passed to a function as an argument. The manner in which the array is passed be different from that of an ordin

Functions, please help me get all the inbuilt functions in c++

please help me get all the inbuilt functions in c++

Star, Write a program that finds the minimum total number of shelves, inclu...

Write a program that finds the minimum total number of shelves, including the initial one required for this loading process.

Stack, c++ program to to implement multiple stacks using single array

c++ program to to implement multiple stacks using single array

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