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C - Secret Number

Score : $300$ points

Problem Statement

Takahashi has forgotten his PIN. The PIN is a four-digit string consisting of 0, 1, $\ldots$, 9, and may begin with a 0.

For each digit 0 through 9, Takahashi remembers the following fact, represented by a $10$-character string $S_0S_1 \ldots S_9$:

• if $S_i$ is o: he is certain that the PIN contained the digit $i$;
• if $S_i$ is x: he is certain that the PIN did not contain the digit $i$;
• if $S_i$ is ?: he is not sure whether the PIN contained the digit $i$.

How many strings are there that could be Takahashi's PIN?

Constraints

• $S$ is a $10$-character string consisting of o, x, and ?.

Input

Input is given from Standard Input in the following format:

$S$

Output

Print the answer.

ooo???xxxx

108

Some of the possible PINs are 0123 and 0021.

o?oo?oxoxo

0

There may be no possible PINs, in which case the answer is $0$.

xxxxx?xxxo

15