Score : $100$ points

Problem Statement

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.
• $1 \leq K < 10^{10000}$
• $1 \leq D \leq 100$

Input

Input is given from Standard Input in the following format:

$K$

$D$

Output

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

30
4

6

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

1000000009
1

2

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

98765432109876543210
58

635270834