Write a C program that asks the user to guess a number between $1$ and $100.$ The program should use a do$-$while loop to repeatedly prompt the user for their guess until they correctly guess the number.

Program Requirements:

The program should generate a random number between $1$ and $100$ at the beginning of each run.

You should use time and srand for your project.

The user should be prompted to enter their guess.

If the user's guess is correct, display a message and the number of attempts it took to guess correctly.

If the user's guess is incorrect, display a hint $($higher or lower$)$ and ask for another guess.

The program should continue prompting for guesses until the user correctly guesses the number.

Properly handle invalid guesses $(<1$ and $>100).$

Use a do$-$while loop to handle repeated guessing until the correct answer is provided.