Problem Statement

Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K.

Input

Input is given from Standard Input in the following format:
K

Output

Print the smallest possible sum of the digits in the decimal notation of a positive multiple of K.

Constraints

• $2 \leq K \leq 10^5$
• K is an integer.

Sample Input 1

6

Sample Output 1

3

12=6×2 yields the smallest sum.

Sample Input 2

41

Sample Output 2

5

11111=41×271 yields the smallest sum.

Sample Input 3

79992

Sample Output 3

36

见题面 Input 部分

见题面 Output 部分