"QAQ" is a word to denote an expression of crying. Imagine "Q" as eyes with tears and "A" as a mouth.

Now Diamond has given Bort a string consisting of only uppercase English letters of length n. There is a great number of "QAQ" in the string (Diamond is so cute!).

<image> illustration by 猫屋 https://twitter.com/nekoyaliu

Bort wants to know how many subsequences "QAQ" are in the string Diamond has given. Note that the letters "QAQ" don't have to be consecutive, but the order of letters should be exact.

Input

The only line contains a string of length n (1 ≤ n ≤ 100). It's guaranteed that the string only contains uppercase English letters.

Output

Print a single integer — the number of subsequences "QAQ" in the string.

Examples

Input

QAQAQYSYIOIWIN


Output

4


Input

QAQQQZZYNOIWIN


Output

3

Note

In the first example there are 4 subsequences "QAQ": "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN".
import java.util.*;
import java.io.*;

public class Main {
    public static void main(String[] args) {
        InputReader in = new InputReader();
        PrintWriter out = new PrintWriter(System.out);
        Solver s = new Solver();
        int test = 1;
        for (int i = 1; i <= test; i++) {
            s.solve(i, in, out);
        }
        out.close();
    }

    static class Solver {
        void solve(int test_case, InputReader in, PrintWriter out) {
            String s = in.next();
            int ans = 0;
            for (int i = 0; i < s.length(); i++) {
                if (s.charAt(i) == 'Q') {
                    for (int j = i + 1; j < s.length(); j++) {
                        if (s.charAt(j) == 'A') {
                            for (int k = j + 1; k < s.length(); k++) {
                                if (s.charAt(k) == 'Q') ans++;
                            }
                        }
                    }
                }
            }
            out.println(ans);
        }
    }
    static class InputReader {

        BufferedReader br;
        StringTokenizer st;

        public InputReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
}