K-wolf Number

Problem Description

Alice thinks an integer x is a K-wolf number, if every K adjacent digits in decimal representation of x is pairwised different. Given (L,R,K), please count how many K-wolf numbers in range of [L,R].

Input

The input contains multiple test cases. There are about 10 test cases. Each test case contains three integers L, R and K. $1 \leq L \leq R \leq 1e18$ $2 \leq K \leq 5$

Output

For each test case output a line contains an integer.

Sample Input

1 1 2
20 100 5

Sample Output

1
72

Author

ZSTU

Source

2016 Multi-University Training Contest 5