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 Lua (5.3.2) (judge verdict: Wrong Answer)

local str = io.read()
local spos = string.find(str, "A")
local epos

if not spos then
	return 0
end

for i=string.len(str), spos + 1, -1 do
	local v = string.sub(str, i, i)
	if v == "Z" then
		epos = i
		break
	end
end

if not epos or (spos > epos) then
	return 0
end

return epos - spos + 1