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Find the number of integers between ~1~ and ~K~ (inclusive) satisfying the following condition, modulo ~10^9+7~:

• The sum of the digits in base ten is a multiple of ~D~.

Constraints

• All values in input are integers.
• ~1 \le K < 10^{10\,000}~
• ~1 \le D \le 100~

Input Specification

The first line will contain the integer ~K~.

The second line will contain the integer ~D~.

Output Specification

Print the number of integers satisfying the condition, modulo ~10^9+7~.

Sample Input 1

30
4

Sample Output 1

6

Explanation For Sample 1

Those six integers are: ~4, 8, 13, 17, 22,~ and ~26~.

Sample Input 2

1000000009
1

Sample Output 2

2

Explanation For Sample 2

Be sure to print the number modulo ~10^9+7~.

Sample Input 3

98765432109876543210
58

Sample Output 3

635270834