Problem:
Score : 200 points

Problem Statement

Snuke has decided to construct a string that starts with A and ends with Z, by taking out a substring of a string s (that is, a consecutive part of s).

Find the greatest length of the string Snuke can construct. Here, the test set guarantees that there always exists a substring of s that starts with A and ends with Z.

Constraints

1 ≦ |s| ≦ 200{,}000

s consists of uppercase English letters.

There exists a substring of s that starts with A and ends with Z.

Input

The input is given from Standard Input in the following format:

s

Output

Print the answer.

Sample Input 1

QWERTYASDFZXCV

Sample Output 1

5

By taking out the seventh through eleventh characters, it is possible to construct ASDFZ, which starts with A and ends with Z.

Sample Input 2

ZABCZ

Sample Output 2

4

Sample Input 3

HASFJGHOGAKZZFEGA

Sample Output 3

12

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

<?php
  declare(strict_types=1);

  $s = str_split(fgets(STDIN), 1);
  $idx_a = 0;
  $idx_z = 110110110;
  $i = 0;
  foreach ($s as $c)
  {
      if ($idx_a === 0 && $c == 'A')
      {
          $idx_a = $i;
      }
      else if ($c == 'Z')
      {
          $idx_z = $i;
      }

      $i++;
  }
  echo ($idx_z - $idx_a + 1).PHP_EOL;
?>