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A computer at ICPC headquarters is protected by a four-digit password—in order to log in, you normally need to guess the four digits exactly. However, the programmer who implemented the password check left a backdoor in the computer—there is a second four-digit password. If the programmer enters a four-digit sequence, and for each digit position the digit entered matches at least one of the two passwords in that same position, then that four-digit sequence will log the programmer into the computer.

Given the two passwords, count the number of distinct four-digit sequences that can be entered to log into the computer.

## Input

The input consists of exactly two lines. Each of the two lines contains a string $s$ ($|s|~ =~ 4$$s~ \in ~ \{ \texttt{0-9}\} ^*$). These are the two passwords.

## Output

Output a single integer, which is the number of distinct four-digit sequences that will log the programmer into the system.

Sample Input 1 Sample Output 1
1111
1234

8

Sample Input 2 Sample Output 2
2718
2718

1