Problem:
Grading

Write a program which reads a list of student test scores and evaluates the performance for each student.

The test scores for a student include scores of the midterm examination m (out of 50), the final examination f (out of 50) and the makeup examination r (out of 100). If the student does not take the examination, the score is indicated by -1.

The final performance of a student is evaluated by the following procedure:

If the student does not take the midterm or final examination, the student's grade shall be F.

If the total score of the midterm and final examination is greater than or equal to 80, the student's grade shall be A.

If the total score of the midterm and final examination is greater than or equal to 65 and less than 80, the student's grade shall be B.

If the total score of the midterm and final examination is greater than or equal to 50 and less than 65, the student's grade shall be C.

If the total score of the midterm and final examination is greater than or equal to 30 and less than 50, the student's grade shall be D. However, if the score of the makeup examination is greater than or equal to 50, the grade shall be C.

If the total score of the midterm and final examination is less than 30, the student's grade shall be F.

Input

The input consists of multiple datasets. For each dataset, three integers m, f and r are given in a line.

The input ends with three -1 for m, f and r respectively. Your program should not process for the terminal symbols.

The number of datasets (the number of students) does not exceed 50.

Output

For each dataset, print the grade (A, B, C, D or F) in a line.

Sample Input

40 42 -1
20 30 -1
0 2 -1
-1 -1 -1

Sample Output

A
C
F

Solution in Ruby (judge verdict: Accepted)

# データを入れる配列
data = gets.chomp.split("\s")
middle = data[0].to_i
final = data[1].to_i
reexam = data[2].to_i

until data == ["-1", "-1", "-1"]	#<= dataは文字列のまま

	# 中間試験 + 期末試験の点数の和で判別
	sum = middle + final
	
	# 中間試験 or 期末試験の欠席者: F
	if (middle == -1) or (final == -1)
		puts "F"
	elsif sum >= 80
		puts "A"
	elsif sum >= 65
		puts "B"
	elsif sum >= 50
		puts "C"
	elsif sum >= 30
		if reexam >= 50
			puts "C"
		else
			puts "D"
		end
	else
		puts "F"
	end
	
	data = gets.chomp.split("\s")
	middle = data[0].to_i
	final = data[1].to_i
	reexam = data[2].to_i
end