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 OCaml (4.02.3) (judge verdict: Accepted)

let s = read_line ()

let rec f i =
  if s.[i] = 'A' then i
  else f (i + 1)

let rec g i =
  if s.[i] = 'Z' then i
  else g (i - 1)

let () = print_int (g (String.length s - 1) - f 0 + 1)