You are tasked with creating a$$Student Grades Management Tool$$to help manage and process student grades for a course. The tool will be used to store student names and their grades, validate inputs, and generate summary reports. You will use file handling functions in C to implement these functionalities, and you will focus on ensuring robust error handling, memory allocation, and formatted I$/$O operations.

Requirements:

Simulated File Access:

Implement a$$custom structure$($MEM$\_$FILE$)$ to simulate a file in memory.Use$$mem$\_$fopen$(),$mem$\_$fgets$(),$ and$$mem$\_$fclose$()$to access the data.

Add Student Grades:

Prompt the user to$$input a student name$$and a$$grade$.$Only the$$first character$$of the student name must be an alphabetic character. If it is not, prompt the user to enter the name again.The$$grade$$must be an integer between$0$ and $100.$ If an invalid grade is entered, print an error message and ask the user to re$-$enter the value.Write valid student names and grades to the file.

Generate a Summary Report:

After adding new entries, the program should$$read the entire file$$to generate a summary report.The summary should include:

Total number of students.Average grade.Highest and lowest grades.A list of$$students who scored below the average.