$1.$ Create a Python application that models a basic school system. The system should include two types of people: students and teachers. Each person should have a name and age stored in a dictionary as their attributes, e$.$g$.\{$name$$: name, $$age$$: age$\}.$ Teachers have an additional attribute, the subject they teach, while students have a list of grades. Use inheritance to avoid code duplication.

$$

In your program, you should have three classes $[10$ points for each class$]$:

a$.$ Person Class:

$$ Create a base class called Person that initializes with a name and age.

$$ Store the attributes in a dictionary within the class.

$$ Implement a method get$\_$details$()$ that returns the person's details as a string.

$$

b$.$ Student Class:

$$ Create a Student class that inherits from Person.

$$ Add an attribute called grades for storing a list of grades $($e$.$g$.,[90,80,85])$ in the initializer. This should also be stored together with the name and the age in the attributes dictionary.

$$ Implement a method calculate$\_$average$\_$grade$()$ that calculates and returns the student's average grade.

$$ Override the get$\_$details$()$ method to include average grade information in the returned string.

$$

c$.$ Teacher Class:

$$ Create a Teacher class that inherits from Person.

$$ Add an attribute called subject for storing the subject they teach in the initializer. This should also be stored together with the name and the age in the attributes dictionary.

$$ Override the get$\_$details$()$ method to include the subject information in the returned string.

$$

In your main program:

$$ Instantiate a few Student and Teacher objects with various details.

$$ Call the get$\_$details$()$ method on each instance and print the results to demonstrate that your system works.