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();
    if (A.length() < B.length()) {
      System.out.println("LESS");
      return;
    } else if (A.length() > B.length()) {
      System.out.println("GREATER");
      return;
    }
    
    for (int i = 0; i < A.length(); i++) {
      if(A.charAt(i) < B.charAt(i)) {
        System.out.println("LESS");
        return;
      } else if (A.charAt(i) > B.charAt(i)) {
        System.out.println("GREATER");
        return;
      }
    }
    System.out.println("EQUAL");
  }
}