Python Basics - Solution: Number guessing game (opposite)

import random

def dialog(name, message):
    print("{}: {}".format(name, message))

def game():
    #define the player names
    user = "User"
    computer = "Computer"

    # generate a random number from 1 to 100 (that you will select for yourself at the beginning)
    valid_user_guess = False
    while not valid_user_guess:
        try:
            # get a number guess from the user
            user_guess = int(input("Guess a number between 1 and 100: "))
        except ValueError:
            print("Not a valid number.")
        else:
            if user_guess < 1 or user_guess > 100:
                print("Please guess number between 1 and 100 (inclusive)")
            else:
                valid_user_guess = True
                print("Enjoy the game!!!\n\n")

    # user throws the challenge to a computer
    dialog(user, "I have guessed a number between 1 and 100! Computer, it's your turn to guess. You can guess max 5 times")

    # Computer is boasting on it's own
    dialog(computer, "Don't challenge me. I am a machine.\n\n")

    guesses = []
    computer_guess_min = 1
    computer_guess_max = 100

    while len(guesses) < 5:
        computer_guess = random.randint(computer_guess_min, computer_guess_max)
        dialog(computer, "I guessed {}".format(computer_guess))

        guesses.append(computer_guess)

        # compare computer's guess with user's guess
        if computer_guess == user_guess:
            dialog(user, "You won this time. You took {} guesses".format(len(guesses)))
            break
        elif computer_guess < user_guess:
            dialog(user, "My guess is higher than {}".format(computer_guess))
            computer_guess_min = computer_guess + 1
        else:
            dialog(user, "My guess is lower than {}".format(computer_guess))
            computer_guess_max = computer_guess - 1
    else:
        dialog(user, "You didn't get it. My guess was {}. Indeed! You are just a machine.".format(user_guess))

    play_again = input("Do you want to play the game again (Y/n)? ")
    if play_again.lower() != 'n':
        game()
    else:
        print("Bye!")

game()