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 C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Text;

namespace AOJ
{
    class Program
    {
        class Student
        {
            public int midterm = -1;
            public int final = -1;
            public int extra = -1;

            private bool hasMidtermResult { get { return midterm != -1; } }
            private bool hasFinalResult { get { return final != -1; } }
            private bool hasExtraResult { get { return extra != -1; } }

            private int getSum()
            {
                int sum = 0;
                if (hasMidtermResult)
                {
                    sum += midterm;
                }
                if (hasFinalResult)
                {
                    sum += final;
                }
                return sum;
            }
            private bool isFforced { get { return midterm == -1 || final == -1; } }
            private bool isAup { get { return getSum() >= 80; } }
            private bool isBup { get { return getSum() >= 65; } }
            private bool isCup
            {
                get
                {
                    if (getSum() >= 50) return true;
                    if (isDup && hasExtraResult && extra >= 50) return true;
                    return false;
                }
            }
            private bool isDup { get { return getSum() >= 30; } }

            public string grade
            {
                get
                {
                    if (isFforced == false)
                    {
                        if (isAup) return "A";
                        if (isBup) return "B";
                        if (isCup) return "C";
                        if (isDup) return "D";
                    }
                    return "F";
                }
            }
        }
        static void Main(string[] args)
        {
            for (; ; )
            {
                var inputLine = Console.In.ReadLine();
                var inputs = inputLine.Split(new char[] { ' ', '\t', '　' });
                if (inputs.Length != 3)
                {
                    return;
                }

                var integers = new List<int>();
                foreach (var s in inputs)
                {
                    integers.Add(int.Parse(s));
                }

                Student student = new Student { midterm = integers[0], final = integers[1], extra = integers[2] };
                if (student.midterm == -1 && student.final == -1 && student.extra == -1)
                {
                    break;
                }

                Console.WriteLine(student.grade);
            }
        }
    }
}