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;
import java.math.BigInteger;

public class Main {

    public static void main(String[] args) {
        BigInteger a, b;
        Scanner scanner = new Scanner(System.in);
        a = scanner.nextBigInteger();
        b = scanner.nextBigInteger();
        scanner.close();

        int res;

        // compare a with b
        res = a.compareTo(b);

        String str1 = "EQUAL ";
        String str2 = "GREATER ";
        String str3 = "LESS";

        if (res == 0)
            System.out.println(str1);
        else if (res == 1)
            System.out.println(str2);
        else if (res == -1)
            System.out.println(str3);
    }
}