p03288 AtCoder Beginner Contest 104 - Rated for Me
A programming competition site AtCode regularly holds programming contests.

The next contest on AtCode is called ABC, which is rated for contestants with ratings less than 1200.

The contest after the ABC is called ARC, which is rated for contestants with ratings less than 2800.

The contest after the ARC is called AGC, which is rated for all contestants.

Takahashi's rating on AtCode is R. What is the next contest rated for him?

Constraints

* 0 ≤ R ≤ 4208
* R is an integer.

Input

Input is given from Standard Input in the following format:


R


Output

Print the name of the next contest rated for Takahashi (`ABC`, `ARC` or `AGC`).

Examples

Input

1199


Output

ABC


Input

1200


Output

ARC


Input

4208


Output

AGC
```python
v = int(input())
 
if v < 1200:
  print('ABC')
elif v < 2800:
  print('ARC')
else:
  print('AGC')
```