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 <iostream>
#include <string>
using namespace std;

int main() {
  string A, B;
  cin >> A >> B;
  if (A.size() != B.size()) {
    cout << (A.size() > B.size() ? "GREATER" : "LESS") << endl;
    return 0;
  }
  cout << (A > B ? "GREATER" : A < B ? "LESS" : "EQUAL") << endl;
  return 0;
}