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Find the number of integers between and
(inclusive) satisfying the following condition, modulo
:
- The sum of the digits in base ten is a multiple of
.
Constraints
- All values in input are integers.
Input Specification
The first line will contain the integer .
The second line will contain the integer .
Output Specification
Print the number of integers satisfying the condition, modulo .
Sample Input 1
30
4
Sample Output 1
6
Explanation For Sample 1
Those six integers are: ,
,
,
,
, and
.
Sample Input 2
1000000009
1
Sample Output 2
2
Explanation For Sample 2
Be sure to print the number modulo .
Sample Input 3
98765432109876543210
58
Sample Output 3
635270834
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