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:
a=raw_input()
b=raw_input()
if len(a)<len(b):
	print "LESS"
elif len(a)>len(b):
	print "GREATER"
else:
	p=0
	flag=True
	while flag and p<len(a):
		if a[p]<b[p]:
			print "LESS"
			flag=False
		elif a[p]>b[p]:
			print "GREATER"
			flag=False
		else:
			pass
		p+=1
	if flag:
		print "EQUAL"