# Play a number guessing game with the user.  The computer will pick a 
# random number between 1 and 100 which the user will try and identify
# in as few guesses as possible.
import random

# Pick the number that the user is trying to guess
target = random.randrange(1, 101)

# Keep track of the highest and lowest legal values that the user can guess.
# A better design would be to set up these variables before selecting the 
# target.  The the target can be selected as random.randrange(low, high + 1)
low = 1
high = 100

# Read the first guess from the user, ensuring it is within the legal range
guess = int(input("Enter an integer between " + str(low) + " and " + \
                  str(high) + ": "))
# Keep looping until the user enters a legal guess
while guess < low or guess > high:
  print("That wasn't within the valid range.  Try again.")
  guess = int(input("Enter an integer between " + str(low) + " and " + \
                    str(high) + ": "))

# Set the initial value for count to 1
count = 1

# While the user's guess is not equal to the target
while guess != target:
  # If the user's guess is too high
  if guess > target:
    # Tell them that
    print("That's too high!")
    high = guess - 1
  # If the user's guess is too low
  else:
    # Tell them that
    print("That's too low!")
    low = guess + 1

  # Read the next number from the user
  guess = int(input("Enter an integer between " + str(low) + " and " + \
                    str(high) + ": "))
  while guess < low or guess > high:
    print("That wasn't within the valid range.  Try again.")
    guess = int(input("Enter an integer between " + str(low) + " and " + \
                      str(high) + ": "))

  # Increase the count of the number of guesses by 1
  count = count + 1

# Display a message indicating that the value was identified correctly
print("That's correct!  And it only took you", count, "guesses!")