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.Scanner;

public class Main {
  public static void main(String[] args) {
    Scanner scanner = new Scanner(System.in);

    char[] A = scanner.next().toCharArray();
    char[] B = scanner.next().toCharArray();
    int result = compare(A, B);
    if (result < 0) System.out.println("LESS");
    else if (result > 0) System.out.println("GREATER");
    else System.out.println("EQUAL");
  }

  private static int compare(char[] A, char[] B) {
    if (A.length != B.length) {
      if (A.length < B.length) return -1;
      else return 1;
    }
    for (int i = 0; i < A.length; i++) {
      if (A[i] < B[i]) return -1;
      else if (A[i] > B[i]) return 1;
    }
    return 0;
  }
}