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 JAVA):

Solution:
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;

public class Main {
  public static void main(String[] args) throws IOException {
    BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
    String a = in.readLine();
    String b = in.readLine();
    String result = "";
    if(a.equals(b))
      result = "EQUAL";
    else if(a.length() > b.length())
      result = "GREATER";
    else if(a.length() < b.length())
      result = "LESS";
    else {
      if(a.compareTo(b) < 0)
        result = "LESS";
      else
        result = "GREATER";
    }
    System.out.println(result);
  }
}