using System;

public class Program

{

    public static void Main()

    {

        int trials = 1000000;

        Board board = new Board(6, 5);

        int dyer_count = 0;

        int fagan_count = 0;

        for (int i = 0; i < trials; i++)

        {

            board.Randomize();

            if (board.Check_Dyer())

                dyer_count++;

            if (board.Check_Fagan())

                fagan_count++;

        }

        double dyer_percentage = (dyer_count * 100.0 / trials);

        double fagan_percentage = (fagan_count * 100.0 / trials);

        Console.WriteLine(" Dyer FUA: " + dyer_percentage );

        Console.WriteLine("Fagan FUA: " + fagan_percentage);

    }

}

public class Board

{

    public int width { get; private set; }

    public int height { get; private set; }

    public int[] board { get; private set; }

    public int[] orb_count { get; private set; }

    private Random r;

    public Board(int Width, int Height)

    {

        width = Width;

        height = Height;

        board = new int[width * height];

        r = new Random();

        Randomize();

    }

    public void Randomize()

    {

        for (int i = 0; i < board.Length; i++)

            board[i] = r.Next(6);

        CountOrbs();

    }

    public bool Check_Dyer()

    {

        int matchable_orbs = 0;

        for (int i = 0; i < 5; i++)

            if (orb_count[i] >= 3)

                matchable_orbs++;

        return matchable_orbs >= 4;

    }

    public bool Check_Fagan()

    {

        int matchable_orbs = 0;

        for (int i = 0; i < 5; i++)

            if (orb_count[i] >= 3)

                matchable_orbs++;

        return orb_count[5] >=5

            || matchable_orbs >= 5;

    }

    private void CountOrbs()

    {

        orb_count = new int[6];

        for (int i = 0; i < board.Length; i++)

            orb_count[board[i]]++;

    }

}