Consider the following table used for grading assignments.

Score in points	Grade
90-100	A
80-89	B
70-79	C
60-69	D
59 and below	F

Your task is to test a course assessment utility that uses the criteria given above. Create a table that lists the valid and invalid equivalent partitions and give the test cases for each. Your test cases are required to incorporate boundary value testing; please include a column to show the expected LETTER grade expected for all tests.