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Contest: Task: Related: TaskA TaskC

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