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){
		Scanner scan = new Scanner(System.in);
		String a = scan.next();
		String b = scan.next();
		String[] x = a.split("",0);
		String[] y = b.split("",0);
		if(x.length>y.length){System.out.println("GREATER");}
		else if(y.length>x.length){System.out.println("LESS");}
		else if(x.length==y.length){
			for(int i=0;i<x.length; i++){
				int n = Integer.parseInt(x[i]);
				int m = Integer.parseInt(y[i]);
				if(n>m){System.out.println("GREATER"); break;}
				else if(m>n){System.out.println("LESS"); break;}
				else if(m==n){
					if(i==x.length-1){System.out.println("EQUAL");}
					continue;}

			}
		}
 	}
}