Write a function that simulates a guessing game as follows. The computer will generate a random number between 1 and 1,000,000. The user will have 20 guesses to guess the number correctly. The game should inform the user if their guess is too low or too high. If the user guesses the number correctly, return True and if the user runs out of guesses, return False. Use the input function to get input from the user. Remember that input returns a String, so you need to convert it if you want to treat it as a number. Come up with a strategy that wins the game every time.