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 Perl (v5.18.2) (judge verdict: Accepted)

use strict;
use warnings;

my $s = <>;
chomp $s;
my @str = split //, $s;
my ($a, $z) = (0, 0);

for(my $i = 0; $i < $#str; $i++) {
	if($str[$i] eq 'A') {
		$a = $i;
		last;
	}
}
for(my $i = $#str; $i > 0; $i--) {
	if($str[$i] eq 'Z') {
		$z = $i;
		last;
	}
}
$z++;
print $z - $a . "\n";
exit;