Final Grade Calculator

You are given the scores for assignments, projects, and exams. Your task is to compute the final grade based on the following weighted average:

\( \text{final\_grade} = 0.4 \times \text{avg(assignments)} + 0.3 \times \text{avg(projects)} + 0.3 \times \text{avg(exams)} \)

Then, assign a letter grade according to:

• Grade A if \( \text{final\_grade} \geq 90 \)
• Grade B if \( 80 \leq \text{final\_grade} < 90 \)
• Grade C if \( 70 \leq \text{final\_grade} < 80 \)
• Grade D if \( 60 \leq \text{final\_grade} < 70 \)
• Grade F if \( \text{final\_grade} < 60 \)

The input is provided via standard input and the output should be printed to standard output.

inputFormat

The first line contains three space-separated integers \( n_a \), \( n_p \), and \( n_e \) representing the number of assignment scores, project scores, and exam scores respectively. The second line contains \( n_a \) space-separated integers representing the assignment scores. The third line contains \( n_p \) space-separated integers representing the project scores. The fourth line contains \( n_e \) space-separated integers representing the exam scores.

outputFormat

Output a single letter representing the final grade ('A', 'B', 'C', 'D', or 'F').

4 2 2
95 92 88 96
90 91
93 94

A