conway-sequence

CONWAY SEQUENCE

C# Code Documentation

using System;
using System.Collections.Generic;

public class Program
{
    public static void Main()
    {
        int original = int.Parse(Console.ReadLine());
        int lineNumber = int.Parse(Console.ReadLine());
        List<int> conwaySequence = new List<int> { original };

        for (int line = 1; line < lineNumber; line++)
        {
            List<int> tempSequence = new List<int>();
            int count = 0;
            int previous = conwaySequence[0];
            foreach (int number in conwaySequence)
            {
                if (number == previous)
                {
                    count += 1;
                }
                else
                {
                    tempSequence.Add(count);
                    tempSequence.Add(previous);
                    previous = number;
                    count = 1;
                }
            }

            tempSequence.Add(count);
            tempSequence.Add(previous);
            conwaySequence = tempSequence;  // update
        }

        Console.WriteLine(string.Join(" ", conwaySequence));
    }
}

Description

The code provided demonstrates the generation of a Conway Sequence. The Conway Sequence is a sequence of numbers in which each line describes the previous line. The program reads an input number (original) from the console, as well as the line number (lineNumber) indicating the desired line of the Conway Sequence. The program then generates and outputs the corresponding line of the Conway Sequence.

Method

The program consists of a single method:

Main()

This method serves as the entry point for the program execution. It performs the following steps:

1. Reads the input number original from the console using Console.ReadLine().
2. Reads the line number lineNumber from the console using Console.ReadLine().
3. Creates a List<int> named conwaySequence and adds original to it.
4. Executes a loop that iterates from 1 to lineNumber - 1 to generate the remaining lines of the Conway Sequence.
   • Within the loop, a new List<int> named tempSequence is created to store the numbers of the current line.
   • Two variables, count and previous, are initialized to 0 and the first element of conwaySequence, respectively.
   • A nested loop iterates over each number in conwaySequence and checks if it is the same as the previous number.
   • If the number is the same, count is incremented. Otherwise, the count and previous number are added to tempSequence, and count and previous are updated.
   • After the nested loop finishes, the final count and previous are added to tempSequence.
   • The conwaySequence is then updated with the tempSequence for the next iteration.
5. Finally, the program outputs the Conway Sequence for the desired line by joining the numbers with spaces using string.Join() and printing the result using Console.WriteLine().

The provided code calculates the Conway Sequence efficiently using a list to store the numbers of each line. The sequence is updated iteratively by appending the generated numbers for each line.

Please note that this documentation assumes some familiarity with the Conway Sequence and focuses on explaining the structure and purpose of the code.