Problem: 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

Solution (in PYTHON):

Solution:
import sys

A=raw_input()
B=raw_input()
G="GREATER"
L="LESS"
E="EQUAL"

if len(A) > len(B):
    print G
    sys.exit()
if len(A) < len(B):
    print L
    sys.exit()

for i in range(len(A)):
    a = int(A[i])
    b = int(B[i])
    if a > b:
        print G
        sys.exit()
    if a < b:
        print L
        sys.exit()

print E