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