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 scanner = new Scanner(System.in);
    try {
      String a = scanner.next();
      String b = scanner.next();
      int n = a.length();
      int m = b.length();
      char s = a.charAt(0);
      char t = b.charAt(0);

      if (a.equals(b)) {
        System.out.println("EQUAL");
        return;
      }
      
      if (!show(n,m)) show(s,t);
    } finally {
      scanner.close();
    }
  }
  
  private static boolean show(int a, int b) {
    if (a > b) {
      System.out.println("GREATER");
      return true;
    } else if (a < b) {
      System.out.println("LESS");
      return true;
    } else {
      return false;
    }
  }
}