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Contest: Task: Related: TaskA TaskC

Score : $700$ points

### Problem Statement

Find 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.

### 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 $K$.

### 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