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# Counting Special Numbers!

Problem Description

Rishabh recently joined a new company and on his very first day his boss gave him a problem to solve.

So, Rishabh don't want to underperform so he asks for you help.

The problem is that you are given with two integers A and B and you have to tell the count of special numbers in range A, B.

A number is called special if the sum of pairwise product of its digits is prime. For example: suppose abc is a number then its sum of pairwise product of its digits will be (ab + ac + bc).

Problem Constraints

1 <= A <= B <= 109

Input Format

First argument is an integer A.

Second argument is an integer B.

Output Format

Return a single integer denoting the count of special numbers in range [A, B].

Example Input

Input 1:

``` A = 1
B = 20
```

Input 2:

``` A = 100
B = 105
```

Example Output

Output 1:

``` 4
```

Output 2:

``` 3
```

Example Explanation*

Explanation 1:

``` Special numbers are: 12, 13, 15, 17
```

Explanation 2:

``` Special numbers are: 102 103 105
```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
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## Discussion

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