You need to answer T questions. Each question consists of two integers a,b. Count the number of integers in the range [a,b] that are divisible by k, and the sum of their digits is also divisible by k.
### Input
- The first line contains an integer T.
- The next T lines, each containing two integers a,b representing a question.
### Output
- For each question, print the number of satisfying numbers.
### Constraints
- 1≤T≤200.
- 1≤a,b≤1012.
- 1≤k≤10000.
### Example
Input:
1110004
Output:
64