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,c="EQUAL";
  cin >> a >> b;
  if(a.size()>b.size())
    c = "GREATER";
  else if(a.size()<b.size())
    c = "LESS";
  else{
    if(a>b)
      c = "GREATER";
    else if(a<b)
      c = "LESS";
  }
  cout << c << endl;
}