Rated for Me

Source: AtCoder

Problem Statement

For rating $R$, ABC is rated below $1200$, ARC below $2800$, and AGC for everyone. Print the next contest that is rated for this participant.

Input

One line contains $R$.

Output

Print one of ABC, ARC, or AGC.

Subtasks

• Subtask 1 (100%): $0 \le R \le 4208$

Examples

Example 1

Input

1199

Output

ABC

Explanation

For the sample values 1199, evaluating the conditions in the statement gives ABC. Therefore the program prints the shown output.

Example 2

Input

1200

Output

ARC

Explanation

For the sample values 1200, evaluating the conditions in the statement gives ARC. Therefore the program prints the shown output.

Example 3

Input

4208

Output

AGC

Explanation

For the sample values 4208, evaluating the conditions in the statement gives AGC. Therefore the program prints the shown output.