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.PrintWriter;
import java.util.Scanner;

public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		final int MOD = 1000000007;

		//入力
		String a = sc.nextLine();
		String b = sc.nextLine();
		sc.close();

		//処理
		String ans;
		if(a.length() > b.length()){
			ans = "GREATER";
		}else if(a.length() < b.length()){
			ans = "LESS";
		}else{
			if(a.compareTo(b) > 0){
				ans = "GREATER";
			}else if(a.compareTo(b) < 0){
				ans = "LESS";
			}else{
				ans = "EQUAL";
			}
		}

		//出力	
		out.println(ans);
		out.flush();
	}

	static class Pair{
		int w,v;
		public Pair(int a, int b){
			this.w = a;
			this.v = b;
		}
	}
}