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;

bool K(string a,string b){
	if(a.length()!=b.length())return a.length()>b.length();
	return a>b;
	}
signed main(){
	string a,b;cin>>a>>b;
	if(a==b)puts("EQUAL");
	else if(K(a,b))puts("GREATER");
	else puts("LESS");
	}