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

• $1 \leq |s| \leq 200{,}000$
• $s$ 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.

QWERTYASDFZXCV

5

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

ZABCZ

4

HASFJGHOGAKZZFEGA

12