Security

The door of Snuke's laboratory is locked with a security code.

The security code is a 4-digit number. We say the security code is hard to enter when it contains two consecutive digits that are the same.

You are given the current security code S. If S is hard to enter, print Bad; otherwise, print Good.

Constraints

• S is a 4-character string consisting of digits.

Input

Input is given from Standard Input in the following format:

S

Output

If S is hard to enter, print Bad; otherwise, print Good.

Examples

Input

3776

Output

Bad

Input

8080

Output

Good

Input

1333

Output

Bad

Input

0024

Output

Bad

inputFormat

Input

Input is given from Standard Input in the following format:

S

outputFormat

Output

If S is hard to enter, print Bad; otherwise, print Good.

Examples

Input

3776

Output

Bad

Input

8080

Output

Good

Input

1333

Output

Bad

Input

0024

Output

Bad

样例

1333

Bad