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

inputFormat

Input

Input is given from Standard Input in the following format:

R

outputFormat

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

样例

1199

ABC