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:
def f(a, b):
	if len(a) != len(b):
		return 'GREATER' if len(a) > len(b) else 'LESS'
	for u,v in zip(a,b):
		if int(u) < int(v):
			return 'LESS'
		elif int(u) > int(v):
			return 'GREATER'
	return  'EQUAL'

print f(raw_input(), raw_input())