using System;

class MontyHall {
    private static Random rnd = new Random();

    public static int OpenDoor(int a, int b, int winning) {
        if (winning == a) {
            return b;
        }
        if (winning == b) {
            return a;
        }
        double choice = rnd.NextDouble();
        if (choice < 0.5) {
            return a;
        } else {
            return b;
        }
    }

    public static void Main() {
        int total = 1000;
        int win = 0;

        for (int i = 0; i < total; i++) {
            int winningDoor = (int)(rnd.NextDouble() * 3.0) % 3 + 1;
            int choice = (int)(rnd.NextDouble() * 3.0) % 3 + 1;

            int open;
            if (choice == 1) {
                open = OpenDoor(2, 3, winningDoor);
            } else if (choice == 2) {
                open = OpenDoor(1, 3, winningDoor);
            } else { //if (choice == 3) {
                open = OpenDoor(2, 1, winningDoor);
            }
            Console.WriteLine("Winning door: {0}\t Player's choice: {1}\tOpen: {2}", winningDoor, choice, open);

            if (choice == winningDoor) {
                win++;
            }
        }

        Console.WriteLine("Total: {0}\tWin by switching: {1}\tWin by staying: {2}", total, total - win, win);
    }
};