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 CPP):

Solution:
#include<bits/stdc++.h>
using namespace std;

string a,b;

int main(){
  cin>>a>>b;
  int al=a.length(),bl=b.length();
  if(al>bl) printf("GREATER");
  else if(al<bl) printf("LESS");
  else{
    if(a>b) printf("GREATER");
    else if(a<b) printf("LESS");
    else printf("EQUAL");
  }
}