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.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    String A = sc.next();
    String B = sc.next();
    String ans = "GREATER";
    if(A.length() < B.length()) {
      ans = "LESS";
    } else if(A.length() == B.length()) {
      boolean flg = true;
      for(int i = 0; i < A.length(); i++) {
        int a = Integer.parseInt(String.valueOf(A.charAt(i)));
        int b = Integer.parseInt(String.valueOf(B.charAt(i)));
        if(a > b) {
          flg = false;
          break;
        } else if(a < b) {
          flg = false;
          ans = "LESS";
          break;
        }
      }
      if(flg) ans = "EQUAL";
    }
    System.out.println(ans);
  }
}