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 Go (1.6) (judge verdict: Time Limit Exceeded)

package main

import (
  "fmt"
  "strings"
)

func Reverse(s string) (result string) {
  for _, v := range s {
    result = string(v) + result
  }
  return
}

func main() {
  var s string
  fmt.Scanln(&s)

  fmt.Println((len(s) - strings.Index(Reverse(s), "Z")) - strings.Index(s, "A"))

}