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.*;
import static java.lang.Math.*;

public class Main {
	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		
		// 入力
		String a = sc.next();
		String b = sc.next();
		
		// 計算
		String result = "EQUAL";
		if(a.length() > b.length()) result = "GREATER";
		if(a.length() < b.length()) result = "LESS";
		if(a.length() == b.length()){
		    if(a.compareTo(b) > 0) result = "GREATER";
		    if(a.compareTo(b) < 0) result = "LESS";
		}
		
		// 出力
		System.out.println(result);
	}
}