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;
  if(a == b)
    cout << "EQUAL";
  else if(a.size() < b.size() || (a.size() == b.size() && a < b))
    cout << "LESS";
  else
    cout << "GREATER";
  cout << endl;
}