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[]) {

        // 入力
        Scanner sc = new Scanner(System.in);
        String a = sc.next();
        String b = sc.next();
        sc.close();

        // 主処理
        int lenA = a.length();
        while (lenA < 100) {
            a = "0" + a;
            lenA = a.length();
        }
        int lenB = b.length();
        while (lenB < 100) {
            b = "0" + b;
            lenB = b.length();
        }

        int compare = a.compareTo(b);
        String result = "EQUAL";
        if (0 < compare) {
            result = "GREATER";
        } else if (compare < 0) {
            result = "LESS";
        }

        // 出力
        System.out.println(result);
    }
}