Course Aggregation Many times, departments are only interested with how students have done in courses relative to a specific major when considering applicants for admission purposes. For this problem you are given a dictionary where the keys are strings representing student ids and the values are dictionaries where the keys represent a course code and the value represents a grade. Your task is to write a function that given a dictionary of the described format and a prefix for course codes, return a dictionary where each key is a student id and the corresponding value is the average grade of the student only in courses that start with the given prefix.
def course_grader (student_to_grades, course_prefix): ({str, {str, float}}) -> {str, float} I: a dictionary containing the grades of students (as described above) and a course code prefix P: compute and store the average grade of all students only for courses that start with the given course prefix 0: a dictionary of student ids to average grades as described in the Processing step pass

Create a function (prob3_6) that will do the following: input a positive scalar integer x. if x is odd, multiply it by 3 and add 1. if the given x is even, divide it by 2. repeat this rule on the new value until you get 1, if ever. your program will output how many operations it had to perform to get to 1 and the largest number along the way. for example, start with the number 3: because 3 is odd, we multiply by 3 and add 1 giving us 10. 10 is even so we divide it by 2, giving us 5. 5 is odd so we multiply by 3 and add one, giving us 16. we divide 16 (even) by two giving 8. we divide 8 (even) by two giving 4. we divide 4 (even) by two giving 2. we divide 2 (even) by 2 to give us 1. once we have one, we stop. this example took seven operations to get to one. the largest number we had along the way was 16. every value of n that anyone has ever checked eventually leads to 1, but it is an open mathematical problem (known as the collatz conjectureopens in new tab) whether every value of n eventually leads to 1. your program should include a while loop and an if-statement.