#To expedite things, I simply had the computer determine if its answer was correct instead of prompting the user.
#If desired, the if statements in the function Guesser() can be changed to prompt the user for a right/wrong response.

def GetNumber():
    global SecretNumber
    try:
        SecretNumber = int(input("\nEnter a secret number between 1 and 100: "))
    except ValueError:
        print("That's not an integer.  Try again.")
        GetNumber()
    if SecretNumber < 1 or SecretNumber > 100:
        print("That's not a number between 1 and 100.  Try again.")
        GetNumber()

GetNumber()

NumberList = list(range(1,101))

IndexStart = 0
IndexEnd = len(NumberList)
GuessCount = 0

def Guesser():
    global IndexStart
    global IndexEnd
    global GuessCount
    GuessCount += 1
    IndexMidway = (IndexEnd + IndexStart) // 2            #Using // instead of / to ensure we get a whole number.
    print("\nMy guess is",IndexMidway)
    if IndexMidway == SecretNumber:
        print("I'm a winner!  Your secret number is",SecretNumber)
        print("It took me",GuessCount,"guesses!")
        exit()
    elif SecretNumber < IndexMidway:
        print("Your secret number is LOWER than",IndexMidway)
        IndexEnd = IndexMidway
        print("I will try again, guessing numbers between",IndexStart,"and",IndexEnd)
        Guesser()
    elif SecretNumber > IndexMidway:
        print("Your secret number is HIGHER than",IndexMidway)
        IndexStart = IndexMidway
        print("I will try again, guessing numbers between",IndexStart,"and",IndexEnd)
        Guesser()


Guesser()