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:
#coding:utf-8
import math

if __name__ == "__main__":
    a = raw_input()
    b = raw_input()

    if len(a) > len(b):
        print "GREATER"
    elif len(a) < len(b):
        print "LESS"
    elif len(a) == len(b):
        for i in range(len(a)):
            if a[i] > b[i]:
                print "GREATER"
                break
            elif a[i] < b[i]:
                print "LESS"
                break
            elif a[i] == b[i] and i == len(a) - 1:
                print "EQUAL"