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 s,t;
  cin>>s>>t;
  int n,m;
  n=s.size();
  m=t.size();
  if(n<m){cout<<"LESS";}
  else if(n>m){cout<<"GREATER";}
  else if (s<t){cout<<"LESS";}
  else if(s>t){cout<<"GREATER";}
  else{cout<<"EQUAL";}
}