Comparison

You are given two positive integers A and B. Compare the magnitudes of these numbers.

Constraints

• 1 ≤ A, B ≤ 10^{100}
• Neither A nor B begins with a 0.

Input

Input is given from Standard Input in the following format:

A B

Output

Print GREATER if A>B, LESS if A<B and EQUAL if A=B.

Examples

Input

36 24

Output

GREATER

Input

850 3777

Output

LESS

Input

9720246 22516266

Output

LESS

Input

123456789012345678901234567890 234567890123456789012345678901

Output

LESS

inputFormat

Input

Input is given from Standard Input in the following format:

A B

outputFormat

Output

Print GREATER if A>B, LESS if A<B and EQUAL if A=B.

Examples

Input

36 24

Output

GREATER

Input

850 3777

Output

LESS

Input

9720246 22516266

Output

LESS

Input

123456789012345678901234567890 234567890123456789012345678901

Output

LESS

样例

36
24

GREATER