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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;

int main() {
	string A,B;
	cin>>A>>B;
	string ans="EQUAL";
	if(!(A==B)){
		if(A.size()==B.size()){
			if(A>B)ans="GREATER";
			else ans="LESS";
		}
		else{
			if(A.size()>B.size())ans="GREATER";
			else ans="LESS";
		}
	}
	cout<<ans<<endl;
}