Guessing Game (advanced)

def game():
    def actual_game():
        import random
        print("This is a guessing game. If you want to exit the game at any time, type exit surrounded by quotes.")
        print("The computer has generate a random integer between 1 and 9 and including 1 and 9.")
        number = random.randint(1, 9)
        guess = 0
        count = 0

        while guess != number and guess != "exit":
            guess = input("Enter you guess of what the number is over here: ")

            if type(guess) == float:
                print("Please enter an integer. You should've put " + str(int(guess)) + " and (not " + str(guess) + ")")
                return

            if guess == "exit":
                break

            guess = int(guess)
            count += 1

            if guess < number:
                print("Too low!")
            elif guess > number:
                print("Too high!")
            else:
                print("You got it!")
                print("And it only took you", count, "tries!")
                actual_game()
    actual_game()


game()