Final Exam Part I $(30$ exam points$)$

Write a complete program to let the user play a "guess a number between $1$ and $100"$ guessing game with the computer. If the user does not guess correctly

then the computer will update the boundaries using the last guess as one of the new boundaries.

When the user finally guesses the number, the computer should acknowledge this and also display the number of valid guesses that the user made. When the

user finally chooses not to play anymore, the program should print out a message with the best round played.

Below you will find an example run. Note that you must print out the correct answer each time before the user starts making guesses, so that I can verify

that the program is correctly winnowing down the search space. Failure to do so results in zero "functions correctly" points, and is guaranteed to drag some not$-$

insignificant number of design points with it$.$

Finally, this is officially part of your final exam. This is individual effort$$no help from anyone beyond the course instructor$($s$)$ and lab assistants. We will

answer clarifying questions, point to the general location of errors, etc, but little else.

Welcome to the Guessing Game!

$($answer is $86)$

Guess a number between $1$ and $100$: $42$

Too low!

Guess a number between $42$ and $100$: $7$

Your guess must be between $42$ and $100.$

Guess a number between $42$ and $100$: Bob

Your guess must be a number.

Guess a number between $42$ and $100$: $75$

Too low!

Guess a number between $75$ and $100$: $90$

Too high!

Guess a number between $75$ and $90$ : $83$

Too low!

Guess a number between $83$ and $90$ : $86$

You guessed it$!$

It only took you $5$ guesses.

Play again? $($Y$/$N$)$: $Y$

$($answer is $37)$

Guess a number between $1$ and $100$: $50$

Too high!

Guess a number between $1$ and $50$: $25$

Too low!

Guess a number between $25$ and $50$: $37$

You guessed it$!$

It only took you $3$ guesses.

Play again? $(\frac{Y}{N}$

Thanks for playing!

Your best round was $3$ guesses.