using System;

using System.Collections.Generic;

public class Program {

    static Random random = new Random();

    public static void Main() {

        int numIterations = Convert.ToInt32(Console.ReadLine()), stayingWins = 0, changingWins = 0;

        for (int i = 0; i < numIterations; i++) {

            List<int> doors = new List<int>() { 0, 1, 2 };

            int chosenDoor = doors[random.Next(doors.Count)]; // The door initially chosen by the user

            int carDoor = doors[random.Next(doors.Count)];     // The door that contains the car

​

            doors.Remove(chosenDoor);

            doors.Remove(carDoor);

            int shownDoor = doors[0];     // The door shown to the user by the host. It can't be the chosen door nor the door with the car    

​

            doors = new List<int>() { 0, 1, 2 };

            doors.Remove(chosenDoor);

            doors.Remove(shownDoor);

​

            int secondaryDoor = doors[0];  // The secondary door the user didn't initially choose. It can't be the initially chosen door nor the shown door 

​

            stayingWins += carDoor == chosenDoor? 1 : 0;

            changingWins += carDoor == secondaryDoor? 1 : 0;

        }

        Console.WriteLine("Chances of winning by staying with initial choice: " + (float) stayingWins / numIterations);

        Console.WriteLine("Chances of winning by changing initial choice: " + (float) changingWins / numIterations);

    }

}