How to resolve the algorithm Dutch national flag problem step by step in the Elixir programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Dutch national flag problem step by step in the Elixir programming language

Table of Contents

Problem Statement

The Dutch national flag is composed of three coloured bands in the order:

The problem posed by Edsger Dijkstra is: When the problem was first posed, Dijkstra then went on to successively refine a solution, minimising the number of swaps and the number of times the colour of a ball needed to determined and restricting the balls to end in an array, ...

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Dutch national flag problem step by step in the Elixir programming language

Source code in the elixir programming language

defmodule Dutch_national_flag do
  defp ball(:red),   do: 1
  defp ball(:white), do: 2
  defp ball(:blue),  do: 3
  
  defp random_ball, do: Enum.random([:red, :white, :blue])
  
  defp random_ball(n), do: (for _ <- 1..n, do: random_ball())
  
  defp is_dutch([]), do: true
  defp is_dutch([_]), do: true
  defp is_dutch([b,h|l]), do: ball(b) < ball(h) and is_dutch([h|l])
  defp is_dutch(_), do: false
  
  def  dutch(list), do: dutch([], [], [], list)
  
  defp dutch(r, w, b, []),              do: r ++ w ++ b
  defp dutch(r, w, b, [:red   | list]), do: dutch([:red | r],  w,  b, list)
  defp dutch(r, w, b, [:white | list]), do: dutch(r, [:white | w], b, list)
  defp dutch(r, w, b, [:blue  | list]), do: dutch(r, w,  [:blue | b], list)
  
  def problem(n \\ 10) do
    list = random_ball(n)
    if is_dutch(list) do
      IO.puts "The random sequence #{inspect list} is already in the order of the Dutch flag!"
    else
      IO.puts "The starting random sequence is #{inspect list};"
      IO.puts "The ordered sequence is #{inspect dutch(list)}."
    end
  end
end

Dutch_national_flag.problem


  

You may also check:How to resolve the algorithm GUI/Maximum window dimensions step by step in the Delphi programming language
You may also check:How to resolve the algorithm Draw a sphere step by step in the SVG programming language
You may also check:How to resolve the algorithm Monty Hall problem step by step in the J programming language
You may also check:How to resolve the algorithm Determine if two triangles overlap step by step in the FreeBASIC programming language
You may also check:How to resolve the algorithm Catalan numbers step by step in the Frink programming language