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
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