Write a program in C++ to: 1. Read all records from a binary file (also attached to this email) to arrays; (the record structure: student number (20 bytes), grade (integer)) 2. Sort the list according to test scores; 3. Calculate the average test score for the class and print on the screen; 4. write sorted records to a new binary file. For example:

The records in the original file:

1 89

2 95

3 76

The new file sorted by scores:

3 76

1 89

2 95