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

见题面

见题面