"Greetings Professor Falken.$$

$$Do you want to play a game?$$

You, the user will $$think$$ of a number between $1$ and $100$ both inclusive $($inclusive$$ means that $1$ and $100$ are also valid values for input$).$

The computer is going to try to guess what the number is that you are thinking of$.$

To accomplish this, you will write a program that will take as the input, the number you are thinking of$.$

The program you will write will output a series of guesses, until the correct number is found.

BUT! The program you will write will not be just a series of random guesses. Instead. you will write an $$intelligent program$$ that will guess the number you are thinking of in as few tries as possible.

The program will prompt for the number you are thinking of$,$ and the computer will display its guesses.

The program will output the computer$$s current guess and will output if the current number is less than or higher than the number the user was thinking.

The program will be written so that the computer guesses are half way of each iteration.

The computer will always start with guessing $50($half way between $1$ and $100).$