human
Give me a code to qAQ" is a word to denote an expression of crying given the following:
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!).

 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".
Using python3 can you solve the prior task?
assistant
#Here is code to qAQ" is a word to denote an expression of crying.

class CodeforcesTask894ASolution:
    def __init__(self):
        self.result = ''
        self.string = ''

    def read_input(self):
        self.string = input()

    def process_task(self):
        qaqs = 0
        newseq = [x for x in self.string if x in "QA"]
        for x in range(len(newseq)):
            if newseq[x] == "A":
                qaqs += newseq[:x].count("Q") * newseq[x:].count("Q")

        self.result = str(qaqs)

    def get_result(self):
        return self.result

if __name__ == "__main__":
    Solution = CodeforcesTask894ASolution()
    Solution.read_input()
    Solution.process_task()
    print(Solution.get_result())