import random


def monty_hall(door_selection=None, _choice=None):
    doors = ["goat" for _ in range(3)]
    car_index = random.randint(0, 2)
    doors[car_index] = "CAR"

    door_number = door_selection
    if door_number is None:
        door_number = int(input("Vyberte dvere c. 1, 2 nebo 3\n")) - 1

    l = [0, 1, 2]
    l.remove(door_number)

    if door_number == car_index:
        opened_index = random.choice(l)
        if door_selection is None:
            print("Otevreny dvere c", str(opened_index + 1))
    else:
        l.remove(car_index)
        opened_index = l[0]
        if door_selection is None:
            print("Otevreny dvere c", str(opened_index + 1))

    if door_selection is None:
        print("chcete zmenit volbu dveri?")

    choice = _choice
    if choice is None:
        choice = input("Ano (a), Ne (n), Nahoda (r)\n")

    if choice == "r":
        choice = random.choice(["a", "n"])

    l = [0, 1, 2]
    l.remove(door_number)
    l.remove(opened_index)
    if choice == "n":
        if door_selection is None:
            print(doors[door_number])
        if doors[door_number] == "CAR":
            return True
        else:
            return False
    elif choice == "a":
        if door_selection is None:
            print(doors[l[0]])
        if doors[l[0]] == "CAR":
            return True
        else:
            return False


count_yes = 0
count_no = 0
count_rand = 0

for i in range(10000):
    res = monty_hall(random.randint(0, 2), "a")
    if res:
        count_yes += 1

    res = monty_hall(random.randint(0, 2), "n")
    if res:
        count_no += 1

    res = monty_hall(random.randint(0, 2), "r")
    if res:
        count_rand += 1

print("Wins, when decision changed", (count_yes / 10000) * 100, "%")
print("Wins, when decision stayed", (count_no / 10000) * 100, "%")
print("Wins, when decision was random", (count_rand / 10000) * 100, "%")