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 = list(raw_input())
b = list(raw_input())

if len(a) > len(b):
    print 'GREATER'
    sys.exit(0)
if len(b) > len(a):
    print 'LESS'
    sys.exit(0)

if len(a) == len(b):
    flag = 'equal'
    for i in xrange(len(a)):
        if a[i] > b[i]:
            flag = 'greater'
            break
        if b[i] > a[i]:
            flag = 'less'
            break
    print flag.upper()