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.length() == b.length()) {
    puts(a < b ? "LESS" : (a == b) ? "EQUAL" : "GREATER");
  } else {
    puts(a.length() < b.length() ? "LESS" : "GREATER");
  }
  return 0;
}