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.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.List;
import java.util.ArrayList;
import java.util.Arrays;

public class Main {
    public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		// 1行、文字列
		String a = br.readLine();
		String b = br.readLine();

		String ans = "EQUAL";
		
		if(a.length() > b.length()) { System.out.println("GREATER"); return; }
		if(a.length() < b.length()) { System.out.println("LESS"); return; }

		
		for(int i=0; i<a.length(); i++) {
			if (a.charAt(i) > b.charAt(i)) { ans = "GREATER"; break;}
			if (a.charAt(i) < b.charAt(i)) { ans = "LESS"; break;}
		}
		
        System.out.println(ans);
        return;
    }


}