8.5 HW4 Part E: Guess the Secret Number

Think of a number between 0 and 100. How could be make a computer guess the number?

The simplest method is to just guess every value. This is a poor method. In real life, you would never use this solution.

If someone had a number you were trying to guess, you would gain information with every failed guess.

In our guessing game, when the guess is incorrect the person with the secret number will say "higher" or "lower". This gives the other player information about where to guess next. (You can also play with "hotter" or "colder" but that algorithm is a bit harder.)

Here is a basic layout of the higher/lower algorithm. Implement it in Python.

• Set three values low=0, high=101, guess=50
• While you have not guess correctly
  • Ask the user if it is correct, higher, or lower
  • If the secret number is lower than the guess set high=guess and your next guess is (guess-low)//2+low
  • If the secret number is higher than the guess set low=guess and your next guess is (high-guess)//2+guess
• If the input was not valid, say "I did not understand." and make the same guess again.

Your output should match the below example.

Hello. Pick a secret number between 0 and 100. Is your secret number 50 Enter yes/higher/lower: lower Next is 25 Is your secret number 25 Enter yes/higher/lower: higher Next is 37 Is your secret number 37 Enter yes/higher/lower: lower Next is 31 Is your secret number 31 Enter yes/higher/lower: lower Next is 28 Is your secret number 28 Enter yes/higher/lower: lower Next is 26 Is your secret number 26 Enter yes/higher/lower: higher Next is 27 Is your secret number 27 Enter yes/higher/lower: yes Great!