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 Haskell (GHC 7.10.3) (judge verdict: Accepted)

import Control.Applicative
import Control.Monad
import qualified Data.ByteString.Char8 as B
import Data.Maybe (fromJust)
import Text.Printf
import Debug.Trace

getInts :: IO [Int]
getInts = map (fst . fromJust . B.readInt) . B.words <$> B.getLine

substr :: Int -> Int -> B.ByteString -> B.ByteString
substr b l s = B.take l $ B.drop b s

main = do
  s <- B.getLine
  let b = fromJust $ 'A' `B.elemIndex` s
  let e = B.length s - (fromJust $ B.elemIndex 'Z' $ B.reverse s)
  print $ e-b