Problem:
Score : 100 points

Problem Statement

The door of Snuke's laboratory is locked with a security code.

The security code is a 4-digit number. We say the security code is hard to enter when it contains two consecutive digits that are the same.

You are given the current security code S. If S is hard to enter, print Bad; otherwise, print Good.

Constraints

S is a 4-character string consisting of digits.

Input

Input is given from Standard Input in the following format:

S

Output

If S is hard to enter, print Bad; otherwise, print Good.

Sample Input 1

3776

Sample Output 1

Bad

The second and third digits are the same, so 3776 is hard to enter.

Sample Input 2

8080

Sample Output 2

Good

There are no two consecutive digits that are the same, so 8080 is not hard to enter.

Sample Input 3

1333

Sample Output 3

Bad

Sample Input 4

0024

Sample Output 4

Bad

Solution in PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
 
$inputs = explode(' ',trim(fgets(STDIN)));

if($inputs[2] % 2 == 0 && $inputs[3] % 2 == 0){
    $w = $inputs[3] * $inputs[2] / 2;
}else{
    $w = $inputs[3] * $inputs[2];
}

$a = floor($inputs[1] / $inputs[2]);
$b = floor($inputs[1] / $inputs[3]);
if($inputs[0] - 1 == 0){
  $c = 0;
  $d = 0;
  $e = 0;
}else{
  $c = floor(($inputs[0] - 1) / $inputs[2]);
$d = floor(($inputs[0] - 1) / $inputs[3]);
  $e = floor($inputs[1] / $w);
}


$f = floor(($inputs[0] - 1) / $w);

$s = $a + $b - $e - $c - $d + $f;
print $inputs[1] - $inputs[0] + 1 - (int)$s;