Problem:


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



Sample input:
6


Sample output:
3

Submission status: Wrong Answer

Solution code:
k=int(input())
res=[0,0,1,3,1,1,3,2,1,9,1,2,3,2,2,3,1,3,9,3,1,3,2,3,3,1,2,9,2,3,3,4,1,6,3,2,9,3,3,3,1,5,3,4,2,9,3,3,3,3,1,3,2,3,9,2,2,3,3,3,3,3,4,9,1,2,6,3,3,3,2,3,9,2,3,3,3,2,3,4,1,9,5,4,3,3,4,3,2,5,9,2,3,6,3,3,3,4,4,18,1,2,3,4,2,3,3,5,9,5,2,3,2,3,3,3,3,9,3,5,3,4,3,6,4,1,9,5,1,6,2,3,6,4,3,9,3,2,3,5,2,3,3,2,9,3,2,3,3,4,3,4,3,9,2,4,3,6,4,3,1,5,9,3,5,6,4,3,3,4,3,9,4,5,3,2,2,3,5,6,9,5,2,3,3,3,6,4,3,9,3,4,3,3,4,3,4,5,18,6,1,3,2,5,3,5,4,9,2,4,3,4,3,3,5,4,9,3,5,6,2,5,3,5,3,9,3,5,3,4,3,6,3,5,9,3,3,6,5,7,3,5,4,9,3,3,6,4,4,6,1,5,9,4,5,3,2,3,6,3,2,9,3,4,6,3,4,6,3,5,9,5,3,3,2,2,3,6,5,9,2,4,3,5,3,3,2,5,9,4,3,6,2,5,3,3,3,18,4,4,3,4,4,6,4,3,9,5,2,6,4,5,3,5,6,9,4,6,3,4,1,6,6,5,9,2,3,6,5,5,6,5,4,9,3,3,3,3,4,3,3,4,9,3,4,3,5,5,3,5,2,9,2,5,3,3,5,6,6,6,9,4,5,6,2,2,3,3,3,9,3,6,6,5,4,3,3,5,9,5,3,6,4,5,3,2,3,9,4,5,3,5,5,3,5,4,18,4,7,6,1,5,3,5,2,9,5,6,3,3,5,6,4,5,9,4,4,6,4,5,3,5,4,9,5,3,3,5,5,6,4,6,9,3,4,3,7,5,6,6,2,9,5,5,3,5,5,6,3,5,9,6,3,6,6,2,3,6,5,9,3,4,6,6,3,6,5,6,9,6,3,6,3,4,6,3,5,9,7,4,3,3,5,6,4,4,9,5,5,3,3,4,6,4,5,18,4,4,6,8,1,3,5,5,9,2,4,6,5,6,3,4,4,9,3,4,6,6,3,6,2,6,9,6,3,3,6,5,6,5,3,9,4,5,6,5,3,6,5,4,9,5,5,6,3,6,3,3,2,9,2,4,3,4,6,3,5,5,9,4,2,6,4,5,3,3,5,9,3,5,3,5,2,6,5,3,9,6,6,3,3,6,6,4,2,9,6,5,6,5,3,6,3,5,18,5,4,6,4,4,3,5,4,9,5,4,6,6,4,6,3,4,9,7,5,6,2,5,6,6,4,9,5,6,6,1,7,6,6,3,9,8,5,6,7,5,3,4,4,9,1,5,6,7,6,6,5,6,9,4,2,3,3,4,6,3,5,9,5,5,6,5,5,6,5,4,9,3,3,6,3,6,3,6,3,9,5,6,3,6,3,6,6,6,9,2,3,6,4,6,3,6,5,18,6,5,3,5,5,6,2,5,9,3,2,3,5,4,3,7,3,9,5,7,6,2,6,9,6,5,9,6,6,6,5,3,6,6,2,9,2,6,3,5,3,3,4,6,9,5,3,6,6,4,6,4,5,9,4,5,3,7,5,6,6,4,9,7,5,6,3,5,6,6,4,9,5,5,3,6,2,3,3,5,9,4,6,3,5,6,3,4,7,9,6,6,3,6,5,6,4,5,18,5,5,3,7,7,6,7,1,9,5,4,3,6,6,6,2,7,9,7,5,12,6,3,3,7,3,9,5,6,6,8,4,6,5,5,9,3,4,6,4,7,6,3,4,9,6,6,3,6,6,6,4,4,9,4,5,6,3,3,3,4,5,9,5,7,6,7,4,6,6,8,9,5,6,6,4,4,3,6,7,9,5,2,6,6,6,6,2,5,9,5,5,3,5,5,3,7,5,18,5,7,6,6,4,6,5,10,9,3,6,6,3,5,6,6,6,18,2,4,6,4,6,3,5,6,9,8,3,6,4,6,6,3,6,9,4,7,6,6,6,6,6,4,9,7,6,6,3,6,6,6,4,9,4,5,6,4,3,6,5,6,9,4,7,6,4,4,3,4,3,9,5,3,6,7,4,6,4,4,9,7,5,3,5,5,3,6,4,9,4,5,6,5,4,6,5,10,18,3,4,6,7,7,6,7,10,27,1,2,3,4,5,3,5,5,9,10,2,3,4,5,6,5,6,9,6,7,3,4,4,6,5,5,9,9,3,3,4,4,6,4,6,9,3,5,6,5,2,6,6,5,9,4,6,6,3,5,3,4,6,9,5,4,6,6,5,6,3,6,9,6,4,3,5,4,6,3,5,9,3,6,6,4,5,6,4,6,9,7,5,6,5,3,6,5,3,18,5,4,3,7,3,6,2,6,9,10,2,3,4,5,3,5,4,9,6,9,3,4,5,6,5,5,9,5,4,6,2,5,6,4,6,9,5,5,3,6,3,6,5,4,9,5,3,6,5,7,3,7,5,9,2,4,6,6,5,6,3,5,9,3,6,6,6,5,3,4,3,9,6,5,6,5,4,6,2,6,9,6,6,6,5,3,6,6,5,9,3,6,6,4,3,6,6,3,18,7,5,6,5,6,6,7,5,9,6,6,3,4,5,6,4,5,9,6,5,6,4,5,6,6,6,9,4,4,6,7,3,6,4,7,9,3,7,3,5,8,6,7,2,9,5,4,6,4,6,6,4,5,9,6,5,6,6,5,6,6,1,9,6,6,6,5,7,6,3,5,9,7,7,6,5,4,6,7,6,9,5,6,3,6,4,3,4,7,9,5,1,6,5,7,6,3,7,18,6,6,6,6,5,6,6,3,9,6,4,3,2,5,3,6,6,9,4,6,6,6,3,6,5,4,9,4,5,6,5,6,6,5,5,9,5,3,6,6,6,3,4,6,9,7,3,6,3,6,6,7,3,9,6,5,3,5,6,6,3,4,9,4,5,6,6,5,3,7,6,9,3,6,6,8,6,3,6,5,9,6,2,6,3,5,6,2,4,9,6,6,3,6,6,6,5,6,18,6,6,6,5,6,3,7,5,9,5,6,6,6,2,6,5,5,9,4,3,6,2,5,3,7,5,9,4,5,3,7,7,6,3,7,9,7,5,3,5,9,6,4,2,9,6,5,9,5,6,6,5,5,9,6,6,3,6,4,6,5,5,9,3,6,6,8,6,6,2,7,9,7,2,6,6,6,3,5,5,9,3,6,3,7,4,6,6,3,9,5,3,6,3,6,6,6,6,18,4,7,6,5,4,6,5,5,9,4,4,9,5,6,3,5,6,9,6,4,6,4,5,6,4,4,9,5,7,6,5,6,6,4,3,9,5,7,6,3,6,6,4,6,9,7,5,6,5,5,3,7,6,9,2,6,3,7,3,6,5,5,9,5,4,6,6,6,3,5,5,9,6,6,3,6,6,6,7,5,9,6,6,6,6,6,3,4,6,9,5,7,6,4,4,6,7,5,18,7,5,9,5,8,3,6,7,9,5,4,6,5,7,6,1,7,9,7,5,6,4,5,3,6,5,9,7,5,6,5,2,6,7,6,9,5,7,6,5,2,12,5,6,9,3,7,3,4,7,6,3,7,9,6,5,3,7,7,6,5,7,9,4,5,6,6,5,6,6,5,9,8,3,6,4,4,6,7,4,9,7,3,6,5,3,6,4,7,9,3,6,6,6,6,3,7,6,18,6,3,6,6,4,6,4,5,9,5,4,3,5,6,6,7,3,9,3,6,3,4,4,6,5,7,9,6,5,9,7,3,6,4,7,9,4,7,6,8,6,3,8,6,9,5,5,6,6,7,6,5,4,9,4,6,3,6,6,6,7,5,9,6,5,6,2,6,6,7,6,9,6,7,6,5,2,6,5,6,9,5,5,6,5,8,3,6,5,9,6,3,3,5,7,6,5,4,18,5,5,6,6,7,6,5,6,9,4,6,6,6,5,6,10,6,9,7,3,6,6,4,6,6,5,9,5,6,6,6,6,6,6,6,18,5,2,6,4,7,6,2,4,9,6,6,3,5,6,6,6,3,9,6,8,6,3,5,6,6,4,9,6,5,6,4,3,6,6,5,9,6,4,6,7,4,6,5,6,9,6,5,6,6,6,6,4,8,9,6,6,3,6,7,6,7,3,18,7,5,6,5,6,3,4,7,9,5,4,9,5,5,6,5,4,9,3,6,6,6,6,6,6,9,9,8,4,6,7,8,6,5,4,9,4,6,3,6,4,9,3,2,9,6,5,9,3,5,6,5,7,9,4,5,6,8,4,6,4,5,9,5,7,6,5,7,3,6,5,9,5,5,3,6,6,9,4,3,9,6,4,3,6,6,6,6,5,9,4,5,6,4,5,9,10,6,18,6,3,9,4,4,6,7,7,9,6,6,6,5,7,6,11,8,27,12,1,3,2,5,3,5,4,9,5,7,3,4,5,6,5,5,9,5,10,3,2,4,3,6,4,9,5,6,6,6,5,6,6,7,9,6,6,6,7,6,3,7,4,9,5,3,6,6,5,6,5,6,9,7,8,6,3,6,3,7,4,9,4,5,6,5,4,6,6,5,9,5,3,6,6,4,6,6,5,18,2,6,6,7,6,6,5,7,9,8,4,6,6,6,6,5,5,9,5,7,3,4,4,6,6,5,9,5,5,3,4,5,6,5,6,9,5,6,6,6,3,6,7,6,9,3,7,6,6,7,3,6,5,9,4,5,6,7,3,6,5,4,9,5,3,6,6,7,6,5,4,9,5,7,6,6,4,6,6,5,9,6,7,6,6,3,6,6,5,9,3,6,6,5,5,3,3,8,18,7,5,6,4,6,3,5,7,9,3,6,6,5,2,6,6,6,9,7,10,6,2,5,3,6,4,9,5,7,3,7,5,6,4,7,9,5,6,3,9,6,3,7,4,9,5,5,6,7,5,6,5,6,9,6,5,6,4,3,6,6,3,9,5,7,6,5,4,6,6,5,9,7,5,6,7,6,3,6,6,9,3,5,6,5,6,6,4,7,9,6,5,9,5,4,6,2,5,18,7,6,3,8,7,6,7,6,9,5,2,6,4,6,6,6,6,9,6,7,6,6,3,6,7,7,9,4,6,6,6,7,6,6,6,9,5,6,3,7,4,6,3,8,9,6,6,6,5,5,6,6,5,9,4,8,6,6,4,6,6,8,9,6,6,6,6,6,9,7,6,9,3,6,6,5,6,6,5,7,9,6,3,6,7,5,6,4,4,9,3,7,6,6,6,6,3,3,18,7,7,6,5,3,6,5,6,9,6,6,6,6,7,9,6,6,9,4,6,6,6,8,3,7,4,9,5,3,6,7,4,12,5,6,9,7,6,6,5,6,6,7,4,9,5,7,6,4,6,9,6,6,9,6,6,9,4,5,6,7,7,18,3,6,6,7,4,3,7,7,9,4,3,9,7,6,3,4,5,9,8,8,6,6,7,6,2,4,9,8,5,9,4,5,6,7,4,18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10,9,6,6,9,8,9,9,10,4,6,8,10,9,5,8,6,9,7,6,6,8,9,6,4,9,8,6,9,5,7,9,6,7,9,8,7,6,10,10,18,9,7,6,6,8,6,8,16,18,2,4,6,7,6,6,8,7,18,3,4,6,8,8,9,6,10,9,10,4,6,8,8,6,5,7,9,6,11,6,8,7,12,6,7,9,9,6,9,7,8,9,7,6,9,6,7,6,11,7,6,5,9,9,6,8,6,7,10,6,7,8,9,7,5,6,6,8,9,7,9,9,8,7,9,8,8,9,11,10,9,7,8,6,8,10,9,10,16,27,4,6,12,11,14,9,12,17,36,1,2,3,4,5,3,5,5,9,10,2,3,4,5,6,5,7,9,10,9,3,4,5,6,7,5,9,10,8,6,4,5,6,7,6,9,9,6,9,9,5,6,5,8,9,7,8,9,7,9,3,5,7,9,4,4,6,7,9,6,5,7,9,9,3,6,8,6,6,8,5,9,6,6,6,7,6,6,10,10,9,10,8,9,6,6,9,6,8,9,10,4,6,8,8,3,9,10,18,16,2,3,4,5,6,4,7,9,10,10,3,4,5,6,7,6,9,8,10,9,4,5,6,5,7,9,5,7,6,9,5,6,7,5,9,6,8,6,6,8,6,6,4,9,8,6,9,8,4,9,5,7,9,6,6,6,6,6,6,7,6,9,9,7,6,7,7,6,8,7,9,7,8,9,8,6,9,7,7,9,6,10,6,8,7,6,6,7,9,8,7,6,6,9,6,6,8,18,11,12,3,4,5,6,6,7,9,7,6,9,4,5,3,7,8,9,9,7,6,8,4,6,7,8,9,3,7,9,6,6,6,7,7,9,8,6,9,10,8,9,5,8,9,9,5,6,8,10,6,6,5,9,8,8,9,6,7,9,6,6,9,8,8,12,7,7,6,9,6,9,9,8,6,6,8,6,6,9,9,9,3,9,8,6,9,6,9,9,8,7,3,8,8,6,7,8,18,8,10,6,4,5,6,7,6,9,8,10,6,6,4,6,7,8,9,5,7,9,6,8,6,6,8,9,6,5,9,8,7,6,4,8,9,7,6,6,5,6,9,5,6,9,7,9,6,5,5,9,7,7,9,4,6,9,8,5,9,8,6,9,3,6,6,7,8,6,6,6,9,9,5,9,5,8,6,4,8,9,7,9,6,7,6,9,8,6,9,6,7,9,5,7,6,9,7,18,5,9,9,7,2,6,7,4,9,6,6,9,5,7,6,7,8,9,6,7,6,6,9,6,6,5,9,7,7,6,9,7,6,8,5,9,7,5,6,7,7,9,8,4,9,8,10,9,5,8,6,8,4,9,4,8,6,5,8,6,7,9,9,7,6,6,9,7,9,6,8,9,8,8,6,6,6,9,6,5,9,8,8,9,3,6,6,8,7,9,6,10,6,9,5,6,7,8,18,7,7,9,8,10,3,5,7,9,4,4,6,8,9,6,4,7,9,9,8,6,8,9,9,8,6,9,6,7,6,5,8,6,7,7,9,10,9,6,8,5,6,6,4,9,5,9,9,7,7,3,8,8,9,4,4,6,6,6,9,5,6,9,5,8,6,8,6,9,8,5,9,7,7,12,6,8,6,9,8,9,8,10,6,4,5,6,6,6,9,6,7,9,8,9,6,7,7,18,8,7,9,7,9,6,3,7,9,10,6,6,8,8,6,7,6,9,8,7,9,6,8,9,8,9,9,9,7,9,8,3,6,6,8,9,6,6,6,8,7,6,7,8,9,8,4,9,7,9,6,7,7,9,8,5,3,8,7,9,7,6,9,6,4,12,5,7,9,7,8,9,7,6,9,6,4,9,3,7,9,5,7,9,9,9,6,8,7,9,7,7,6,8,3,9,3,9,18,9,10,6,6,7,9,9,5,9,8,4,6,6,4,9,5,9,9,7,8,9,8,5,6,7,5,9,3,5,9,6,5,6,8,7,9,8,6,9,5,8,9,7,6,9,5,9,6,10,8,9,8,5,9,6,7,9,4,9,6,7,6,9,8,6,6,8,5,9,6,8,9,8,8,9,9,8,6,8,5,9,8,6,9,7,8,9,4,8,9,7,3,6,7,7,12,8,6,18,4,9,6,5,9,6,7,8,9,9,8,6,6,6,9,6,4,9,7,6,3,8,8,6,6,9,9,9,5,9,9,10,6,3,8,9,8,4,6,5,6,6,7,6,9,9,8,6,5,6,9,5,7,9,4,8,6,8,3,9,9,8,9,6,8,6,6,8,6,8,5,9,7,5,6,9,8,6,5,6,9,8,8,3,7,7,6,10,3,9,6,8,9,8,8,9,8,9,18,11,8,9,9,8,6,8,10,9,5,4,6,8,9,6,7,8,18,10,4,6,6,8,9,6,6,9,9,9,3,7,6,6,8,5,9,8,6,9,7,9,6,7,6,9,5,9,9,9,3,9,7,10,9,8,7,9,7,8,6,10,6,9,4,5,6,6,7,9,2,7,9,10,7,6,9,8,6,10,6,9,8,8,6,6,6,6,10,11,9,7,8,9,5,7,6,6,10,27,10,6,6,7,8,6,7,9,9,16,2,3,4,5,6,5,7,9,6,10,3,4,5,6,7,6,9,8,7,6,4,5,6,7,7,9,9,7,9,6,5,6,6,8,9,7,6,9,8,7,3,7,8,9,8,7,9,9,6,9,5,7,9,7,3,6,8,9,6,7,4,9,5,9,6,7,8,6,8,6,9,6,7,9,8,5,6,8,8,9,6,9,6,10,7,3,7,7,18,9,9,6,7,9,9,6,8,9,9,11,3,4,5,6,6,7,9,7,7,12,4,5,6,6,7,9,5,7,6,9,5,6,7,7,9,5,6,9,8,8,6,7,6,9,4,7,9,9,7,9,5,7,9,6,8,6,6,7,9,8,5,9,6,8,6,6,7,6,6,8,9,8,9,6,7,6,6,9,5,9,5,8,6,7,9,6,6,7,9,8,4,6,8,9,6,3,9,18,7,9,6,8,7,9,7,6,9,5,6,6,2,5,6,7,7,9,7,7,6,10,5,6,7,8,9,7,6,9,7,8,6,7,8,9,8,5,6,8,8,6,4,8,9,10,9,6,5,8,6,9,6,9,4,7,6,5,5,6,9,9,9,6,8,12,9,7,6,9,7,9,5,7,6,6,6,6,10,7,9,8,5,9,6,10,9,6,6,9,7,8,3,7,7,9,5,6,18,7,7,9,6,9,9,7,7,9,5,8,9,7,3,6,7,7,9,7,9,9,6,8,6,6,4,9,6,7,6,7,6,6,5,8,9,9,4,6,8,9,6,7,4,9,9,9,9,7,7,9,8,9,9,8,6,6,8,6,6,5,9,9,5,7,6,7,7,9,6,8,9,9,3,9,8,8,6,4,9,9,8,9,6,8,4,6,6,2,9,8,8,6,5,7,12,7,7,18,7,7,9,9,7,9,7,9,9,6,6,9,7,7,3,7,8,9,7,8,6,4,7,9,7,8,9,6,8,6,11,8,6,8,5,9,8,9,6,6,6,9,9,8,9,10,4,6,7,5,6,10,9,9,2,6,9,8,6,6,8,8,9,5,4,6,7,9,9,6,7,9,6,8,6,10,8,9,5,6,9,8,6,6,6,9,9,8,9,9,8,8,9,8,5,6,7,6,18,7,7,6,7,6,6,7,5,9,7,6,6,9,6,9,3,7,9,9,8,6,4,9,6,7,5,9,5,9,6,7,8,6,8,4,9,7,9,6,6,4,6,6,6,9,3,9,6,9,9,6,7,5,9,8,6,9,7,8,3,7,6,9,8,9,6,8,9,6,9,6,9,7,9,6,6,8,6,8,7,9,7,8,6,8,5,9,4,7,9,6,5,6,9,5,3,9,7,18,8,7,6,8,8,9,4,8,9,8,8,6,6,10,9,7,3,9,7,7,9,8,8,6,7,8,9,5,6,9,5,6,6,6,9,9,6,7,6,6,8,6,7,8,9,7,5,9,8,9,9,5,8,9,8,10,6,7,7,9,7,6,9,8,7,12,5,9,9,10,8,9,7,9,9,7,4,9,8,6,9,8,7,9,8,6,6,6,7,9,6,6,9,8,9,9,2,7,18,9,5,6,9,10,6,8,6,9,6,8,9,8,7,6,8,7,9,5,8,9,8,7,6,9,8,9,6,7,6,6,7,6,6,4,9,6,6,9,7,6,9,6,10,9,8,6,6,9,6,9,8,7,9,8,7,9,5,7,6,10,3,9,8,7,6,10,3,3,7,6,9,6,8,6,7,6,6,7,7,9,9,5,3,7,8,9,6,7,9,6,7,6,6,6,6,8,5,18,8,7,6,7,6,9,6,8,9,6,6,6,7,6,6,8,7,9,3,7,6,6,6,6,6,8,9,7,6,9,7,9,6,5,7,18,8,7,6,7,7,9,5,4,9,8,6,3,4,9,9,9,8,9,6,8,6,8,3,9,9,8,9,7,11,6,6,7,6,8,8,9,7,6,9,9,4,6,6,4,9,8,8,6,8,6,12,8,3,9,6,8,6,3,7,6,8,8,18,9,4,6,7,7,6,9,7,9,7,8,3,6,7,6,7,7,9,10,5,6,8,9,6,3,5,9,7,6,6,8,7,12,9,5,9,7,6,6,5,6,9,7,10,9,8,7,9,7,6,9,8,9,9,6,7,9,6,8,6,7,8,9,5,6,6,8,7,9,7,9,9,8,7,9,9,6,9,7,5,9,7,5,9,6,8,9,6,8,9,9,8,6,6,4,12,8,7,18,6,8,9,7,6,6,7,7,27,10,6,9,9,8,12,8,9,18,9,11,3,4,5,6,4,7,9,9,5,9,4,5,6,6,8,9,7,10,9,8,5,6,6,4,9,3,6,9,8,6,6,7,7,9,6,7,6,10,7,6,4,4,9,9,5,12,8,11,6,6,5,9,7,9,9,6,4,6,6,8,9,5,3,6,6,8,9,6,7,9,6,6,6,8,8,6,7,8,18,8,5,9,8,8,6,6,7,9,7,10,6,8,8,6,9,7,9,8,7,9,4,5,6,7,8,9,8,8,12,10,5,6,7,8,9,7,8,6,7,8,6,7,6,9,6,4,6,9,6,6,6,8,9,6,6,9,6,7,6,9,6,9,7,6,6,6,9,9,6,10,9,7,4,9,8,6,6,8,8,9,4,7,6,7,5,9,8,9,9,8,4,6,7,9,6,5,6,18,8,10,6,6,6,9,7,7,9,8,6,9,7,6,6,9,6,18,5,8,9,10,3,6,6,8,9,6,10,9,7,9,6,7,8,9,8,7,6,8,8,9,4,8,9,9,8,3,9,9,9,8,7,9,6,9,6,7,7,6,7,9,9,8,4,6,6,4,9,6,8,9,3,9,9,9,6,9,6,8,9,9,7,6,9,6,6,6,6,9,6,9,3,8,5,9,8,4,18,8,9,9,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12,10,9,9,7,6,9,8,2,9,9,10,9,6,10,9,7,10,6,8,6,9,10,6,9,8,10,9,6,9,9,8,8,6,8,6,6,8,6,18,6,9,6,7,12,6,11,8,9,6,9,6,7,5,9,8,5,9,7,8,6,7,6,6,10,7,27,9,10,9,6,6,6,7,10,9,8,12,6,10,9,9,10,7,9,11,17,12,2,5,3,7,4,9,5,7,6,9,5,6,7,8,9,6,6,9,8,10,3,7,4,9,5,5,6,8,7,9,6,8,9,10,8,6,9,11,6,8,4,9,5,4,6,7,7,9,8,7,9,6,9,9,7,6,9,9,6,9,5,10,6,7,7,9,8,8,9,10,7,6,7,8,9,5,8,18,7,10,3,9,7,9,8,5,9,6,8,6,7,8,9,8,8,9,8,7,9,10,5,6,7,3,9,6,8,9,6,8,6,7,8,9,9,3,6,8,7,12,4,8,9,7,5,3,9,10,6,7,7,9,8,4,6,7,8,9,6,8,9,8,6,6,7,7,9,6,8,9,5,9,9,8,8,6,8,8,9,9,6,9,9,9,6,8,11,9,7,11,3,9,8,6,7,6,18,9,9,9,9,10,6,7,8,9,9,8,9,9,6,9,9,6,9,7,9,9,11,6,3,7,4,9,5,7,6,10,6,6,7,8,9,10,7,6,10,8,12,9,4,9,5,9,6,7,6,9,8,9,9,8,5,9,7,6,9,9,9,9,5,5,6,8,7,6,7,9,9,7,5,9,6,8,9,8,8,9,8,9,6,9,7,6,6,5,9,8,7,9,7,9,9,8,9,18,7,8,9,8,5,6,7,7,9,8,6,9,9,9,6,7,6,9,7,7,9,10,8,6,5,8,9,9,7,6,8,9,6,6,6,9,7,8,9,7,7,12,8,8,9,6,8,9,9,7,6,8,7,9,6,6,6,11,9,6,7,6,9,8,5,6,8,9,6,8,7,9,9,6,6,10,8,9,8,6,9,7,8,9,4,7,6,8,8,9,9,9,6,9,3,9,9,9,18,6,7,9,9,9,6,9,8,9,7,6,6,8,7,9,6,9,9,7,5,9,6,8,9,8,3,9,5,7,6,6,7,6,7,6,9,8,7,9,7,9,6,6,10,9,5,10,6,8,7,6,8,9,9,6,7,9,6,10,9,7,7,9,8,7,6,11,7,9,8,6,9,9,8,3,5,10,9,8,8,9,9,5,9,9,4,9,8,5,9,8,10,9,9,9,6,9,5,18,8,10,6,10,9,9,6,8,9,9,4,6,7,9,9,9,5,9,5,10,9,6,9,9,9,6,9,9,10,9,8,7,12,10,10,9,7,7,6,7,9,9,7,6,9,8,5,9,7,6,9,3,6,9,6,9,6,9,10,9,7,8,9,10,8,6,7,10,9,6,8,9,10,9,9,8,6,9,6,3,9,9,7,9,9,9,3,6,7,9,7,8,9,7,7,9,6,6,18,10,7,6,7,9,9,8,6,9,9,8,9,5,7,9,7,8,9,10,5,9,8,8,9,7,9,9,3,8,6,7,7,12,8,9,9,8,5,6,9,9,9,8,6,9,8,7,6,8,6,9,6,5,9,10,7,9,5,9,6,8,7,9,6,8,6,9,6,9,8,8,9,6,10,9,4,6,6,10,8,9,9,7,9,9,8,9,4,8,9,9,10,9,9,9,9,7,7,18,7,9,9,6,9,9,9,9,9,9,8,9,6,7,9,5,8,9,6,10,6,8,5,9,9,9,9,7,5,9,7,9,6,7,7,9,8,7,9,9,6,9,8,6,9,6,9,9,5,9,9,8,10,18,8,9,6,9,4,9,9,8,9,6,8,6,9,8,6,10,7,9,4,9,9,10,6,6,2,10,9,5,8,6,9,9,6,10,5,9,7,7,12,8,7,9,7,10,18,8,7,6,7,4,9,9,9,9,7,8,9,10,7,9,9,9,9,9,6,9,6,8,9,7,7,9,7,9,3,7,7,6,8,8,9,10,7,6,8,7,6,8,8,9,7,8,12,9,7,9,8,7,9,4,6,9,9,10,6,8,11,9,8,6,6,8,8,9,7,5,9,9,8,9,9,8,9,11,6,9,6,8,9,8,10,9,8,10,9,10,10,9,4,7,9,8,7,18,5,11,6,10,8,3,9,8,9,6,2,9,6,10,9,7,8,9,6,7,6,6,9,9,8,7,9,8,5,12,4,7,6,9,7,9,9,10,9,8,6,9,7,8,9,7,6,9,8,6,6,9,10,9,8,6,9,8,5,9,6,8,9,8,9,6,8,6,9,10,6,9,9,8,9,7,8,9,10,6,9,7,8,9,8,4,9,10,9,9,6,9,9,9,9,9,8,7,18,9,7,6,7,6,6,8,7,27,6,6,6,9,7,9,5,5,9,9,7,6,6,7,9,8,8,9,6,10,9,8,3,6,7,8,9,8,10,9,8,9,6,7,6,9,10,6,6,10,6,9,7,8,9,6,5,6,9,11,6,7,7,9,8,8,6,5,9,9,4,8,9,10,7,9,9,6,6,9,6,9,4,10,6,5,6,9,6,10,9,10,6,12,9,9,6,5,9,18,9,8,6,11,8,9,9,6,9,4,8,12,6,7,9,10,10,9,8,8,3,8,7,9,6,6,9,7,9,3,9,9,6,7,8,9,9,5,6,9,9,9,6,8,9,10,9,6,9,9,6,6,6,9,6,9,6,3,9,9,7,8,9,9,7,12,8,8,6,7,8,9,5,8,9,8,8,9,7,6,9,8,6,9,5,8,6,6,9,9,5,8,3,9,9,9,7,7,18,7,9,9,7,11,6,8,8,9,8,8,9,5,4,9,8,9,9,8,8,9,8,8,6,10,6,9,10,7,9,9,7,6,3,8,9,8,9,6,7,10,9,10,8,9,9,8,9,6,7,9,8,9,9,6,5,9,6,7,9,8,8,9,6,8,6,10,8,9,9,7,9,8,6,9,7,8,9,7,6,9,9,10,6,9,7,9,10,6,9,5,7,9,5,8,9,9,8,18,9,6,9,10,5,9,8,9,9,6,10,6,9,12,6,10,9,9,7,6,9,10,7,9,6,8,9,7,9,6,7,6,6,5,5,9,9,11,9,8,10,6,8,6,9,9,7,9,9,7,9,10,7,9,4,11,9,10,8,6,8,8,9,9,8,12,10,12,9,6,8,9,6,8,6,10,8,9,7,6,9,9,6,9,6,9,9,10,8,9,9,9,9,6,4,6,7,10,18,5,9,9,9,8,6,9,9,9,9,4,6,10,9,9,6,9,9,4,6,6,10,6,9,8,8,9,7,9,9,7,8,12,7,8,9,10,5,9,8,6,9,8,8,9,6,10,9,8,9,6,9,8,9,8,6,6,9,9,9,7,6,9,8,8,6,8,6,9,8,9,9,9,6,12,6,8,9,10,7,9,6,9,9,8,6,9,6,11,9,7,8,9,9,9,9,10,8,18,6,4,9,9,8,9,7,6,9,10,8,9,7,6,9,9,6,9,9,10,6,6,11,9,3,9,9,7,8,9,7,6,6,8,9,9,3,9,3,8,9,6,6,10,9,9,6,9,8,8,6,8,7,9,6,10,6,10,7,9,7,7,9,7,9,6,5,10,3,8,7,9,8,9,9,7,6,9,7,8,9,10,6,9,7,10,6,6,6,9,6,7,6,8,9,9,5,9,18,10,8,6,7,9,6,6,7,9,8,8,9,6,7,12,8,9,9,9,6,9,6,5,9,9,7,9,6,6,6,7,8,12,8,7,9,7,3,9,10,9,9,7,6,9,6,7,6,8,6,6,8,7,9,8,7,12,7,9,9,5,7,9,9,10,6,9,5,9,7,10,18,8,8,12,8,8,6,9,7,9,8,7,9,11,8,9,4,8,9,6,8,9,6,6,3,8,4,18,9,8,9,8,9,9,8,9,9,8,6,9,7,5,6,9,8,9,3,7,9,8,10,9,8,7,9,8,7,9,11,10,6,8,6,9,7,8,6,8,8,9,8,8,9,7,7,6,6,9,9,8,9,9,4,9,6,11,6,6,8,9,9,4,8,6,8,7,6,7,8,9,6,6,12,7,8,9,3,7,9,9,6,9,8,8,6,10,3,9,7,5,6,6,8,6,9,7,18,10,9,9,8,7,6,8,7,9,7,8,6,7,8,9,7,10,9,9,7,6,8,8,3,9,6,9,9,8,6,10,8,6,7,8,9,8,10,9,5,7,6,10,8,9,9,8,6,10,3,6,5,8,9,6,7,9,6,8,6,7,8,9,8,6,12,8,9,9,5,8,9,7,7,9,6,10,6,9,6,9,6,7,9,7,8,6,10,8,9,10,9,9,7,6,9,8,7,18,6,10,9,9,8,6,9,8,9,5,6,9,9,10,9,4,6,9,8,8,6,6,7,9,9,5,9,8,5,9,6,8,6,8,8,9,9,7,9,9,7,9,9,10,9,6,8,6,7,9,9,6,10,9,6,9,9,7,7,9,6,9,9,9,7,6,9,9,9,9,6,9,8,5,9,4,6,6,8,10,9,7,9,9,9,3,6,8,6,9,4,8,12,9,8,6,10,8,18,10,6,9,11,10,9,6,7,9,9,10,6,7,9,9,7,4,27,7,10,9,6,6,9,6,10,9,8,9,12,8,8,6,10,9,18,7,10,9,11,10,3,7,4,9,5,7,6,8,4,9,7,8,9,6,9,9,5,10,9,10,4,9,5,9,6,4,6,9,8,9,9,6,7,9,10,4,9,8,8,9,5,8,6,8,6,9,4,8,9,10,3,9,6,6,9,6,8,18,8,7,6,9,7,9,7,6,9,8,6,9,7,6,6,10,9,9,7,8,6,8,4,9,4,9,9,6,9,9,5,8,12,7,8,9,11,8,6,7,6,9,5,8,9,8,7,6,9,6,9,10,6,9,4,6,6,6,6,6,8,10,9,8,9,6,6,3,6,9,6,9,7,9,9,8,6,6,8,8,9,10,6,9,6,8,6,6,8,9,9,10,6,8,7,9,8,5,18,10,8,9,5,9,9,9,9,9,10,6,6,10,6,9,8,9,9,7,7,9,10,7,6,8,8,9,8,8,6,9,9,6,7,9,9,9,8,9,7,10,9,7,4,9,5,8,6,8,7,9,8,7,9,8,8,9,8,7,12,5,10,9,5,10,6,9,7,6,8,9,9,9,7,9,8,6,9,9,7,9,8,8,6,8,7,9,6,7,9,8,6,6,4,10,6,6,9,18,6,8,6,9,6,6,8,9,9,5,6,9,6,7,9,9,6,9,7,4,6,8,9,6,6,6,9,9,10,6,6,6,6,8,6,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11,5,9,10,7,12,11,8,12,7,13,9,3,9,9,8,3,9,5,4,9,6,8,9,3,9,6,10,6,9,8,6,9,7,7,6,9,8,9,9,3,12,9,10,6,9,8,18,6,7,9,8,6,6,6,7,9,8,9,6,9,10,9,8,3,9,8,5,9,3,8,12,6,7,18,9,10,9,6,10,9,9,4,9,6,8,9,11,9,9,8,7,9,8,5,6,6,7,6,8,4,9,9,10,6,8,7,12,5,4,9,9,9,12,5,10,9,7,8,9,6,8,9,7,7,9,9,9,9,6,6,9,6,6,6,6,7,9,7,7,6,10,9,9,3,10,9,10,6,9,7,10,6,9,5,9,7,8,9,8,6,9,8,9,9,10,8,9,8,6,6,10,6,18,5,10,6,9,6,9,9,5,9,9,6,9,7,9,6,5,7,9,9,8,6,12,9,9,8,8,9,8,8,9,6,7,6,12,8,9,8,9,9,8,7,9,6,4,9,4,7,6,6,8,3,8,6,9,6,6,6,6,8,6,6,10,9,9,9,6,8,8,9,9,5,9,8,10,12,6,10,9,8,8,9,11,6,9,9,8,9,10,6,9,6,10,9,10,5,6,10,8,18,10,5,9,10,9,6,8,3,9,9,8,6,6,6,9,6,8,9,10,6,6,4,9,6,9,10,9,8,8,9,9,3,12,8,11,9,6,8,12,6,7,9,8,8,27,7,6,6,10,8,9,4,10,9,10,6,6,7,9,6,6,7,9,6,7,6,7,5,12,5,10,9,7,8,6,8,8,9,9,4,9,6,10,9,9,9,9,6,11,9,7,4,12,8,8,6,7,8,18,9,6,3,9,8,6,7,9,9,10,8,9,5,9,9,9,10,9,8,9,9,10,5,6,9,9,9,8,7,9,8,9,6,10,7,9,10,9,9,8,6,9,7,8,9,6,9,6,8,7,12,8,6,9,10,9,6,7,7,9,8,7,9,10,8,6,9,8,6,8,5,9,5,10,9,9,4,6,9,9,9,6,6,9,7,9,9,4,9,9,5,7,3,10,7,9,7,4,18,11,8,9,6,9,9,8,9,9,5,8,9,8,8,6,10,9,9,6,8,9,8,10,6,6,6,9,8,5,9,7,9,6,7,9,9,6,7,6,9,8,9,6,6,9,9,9,6,5,6,9,9,8,9,10,9,9,8,8,9,9,7,9,5,9,6,6,9,6,8,9,9,10,3,6,8,10,9,6,7,9,6,8,6,9,6,9,4,8,9,8,8,12,8,9,9,9,7,18,5,9,6,10,7,9,6,7,9,7,8,9,11,9,6,10,5,18,10,10,9,8,7,6,6,7,9,8,9,6,6,7,6,11,8,9,9,10,6,9,9,12,8,12,18,9,8,6,5,4,9,9,10,9,6,8,6,8,9,9,7,11,9,9,5,6,7,10,9,9,9,9,8,8,3,8,8,6,10,6,9,8,7,9,8,9,6,8,6,9,10,9,9,10,6,9,8,10,18,7,6,12,5,8,6,7,7,9,6,6,9,7,9,9,5,9,9,9,8,9,8,11,6,8,3,9,8,9,9,6,8,6,7,8,9,8,10,9,8,7,9,7,8,9,5,10,9,8,9,6,7,9,9,6,6,9,8,8,9,4,9,9,8,8,6,8,7,9,9,7,9,11,9,9,2,10,6,8,7,9,7,10,9,11,5,6,10,9,9,9,8,9,7,8,6,7,8,18,8,6,9,8,7,9,5,11,9,10,10,6,7,7,9,9,6,9,8,6,9,10,9,9,7,7,9,6,11,9,6,8,6,10,6,9,5,7,9,7,7,6,9,10,9,8,8,9,6,10,9,10,9,9,8,10,6,7,9,9,7,7,9,8,8,12,7,10,6,8,8,9,6,9,9,9,2,6,7,5,9,4,8,9,7,7,6,10,7,9,8,7,6,9,8,9,6,10,18,8,9,3,7,8,6,8,5,9,9,8,9,7,10,6,10,10,9,8,7,6,8,7,9,7,8,9,4,6,9,7,6,6,8,9,9,9,6,6,6,10,9,9,8,9,8,6,9,7,7,6,8,5,9,10,8,9,6,10,9,7,8,9,9,9,6,9,6,9,4,10,9,8,5,9,7,6,3,6,9,9,8,8,12,8,9,9,4,8,9,8,7,9,9,9,6,9,6,18,10,7,9,5,10,9,8,10,9,10,8,9,9,3,9,10,8,9,7,9,12,10,6,6,7,8,9,6,4,9,7,10,6,5,7,9,9,10,6,9,9,6,5,8,9,7,6,12,8,11,6,8,4,9,6,10,9,10,5,6,9,7,9,8,9,6,8,9,6,10,10,9,10,8,9,7,10,9,6,7,9,8,7,6,9,10,9,10,7,9,8,9,9,7,9,9,6,7,18,9,10,9,9,9,9,9,7,9,7,10,9,4,6,9,6,8,9,5,7,9,8,7,9,8,5,9,5,8,3,7,7,6,8,5,9,9,7,9,6,9,9,9,8,9,8,9,6,8,7,9,9,8,9,4,6,9,7,9,6,7,9,9,9,7,6,9,9,9,5,10,9,7,10,9,8,10,9,10,5,9,5,8,12,7,6,9,10,9,9,9,8,9,8,6,9,8,7,18,7,9,9,7,6,6,7,6,9,10,6,9,9,11,9,4,7,9,7,9,3,8,8,9,8,7,9,9,9,9,5,9,12,9,6,9,8,10,6,7,7,6,9,10,9,6,8,9,6,10,6,10,8,9,8,5,6,9,8,9,6,8,9,10,10,6,7,10,6,9,7,9,6,10,15,7,8,6,9,8,9,8,7,9,8,9,6,4,5,9,7,7,9,5,6,6,9,9,18,9,5,9,9,8,9,5,9,9,9,10,6,8,8,6,5,9,9,9,9,6,6,9,6,7,11,9,7,6,6,9,4,6,9,9,9,8,8,9,11,9,6,8,6,9,7,8,9,8,5,9,7,11,27,8,7,6,6,8,9,8,7,9,8,10,12,7,13,9,9,9,9,9,7,12,8,6,9,8,11,9,2,8,6,7,5,6,8,9,9,9,7,9,10,8,6,7,6,18,9,10,6,10,7,9,8,5,9,10,4,9,7,6,9,9,8,9,10,9,9,8,5,9,8,8,9,7,6,9,9,10,6,7,8,9,10,8,6,9,5,9,8,8,9,7,7,9,7,8,9,9,8,9,6,10,9,4,9,9,10,7,9,9,3,6,6,9,6,7,7,9,5,9,9,8,10,6,9,9,9,7,4,9,9,9,6,4,10,9,9,8,6,10,9,9,7,5,18,9,9,6,6,9,9,8,8,9,9,6,9,7,6,9,9,5,9,8,6,9,8,8,6,6,7,9,7,8,9,10,6,12,5,10,9,7,8,9,6,9,9,9,4,9,8,10,9,10,9,6,10,11,9,8,7,9,7,7,6,8,6,18,6,10,6,8,5,9,8,8,9,10,6,6,6,10,6,7,8,9,7,8,3,7,7,9,8,7,9,9,6,9,5,9,6,8,8,18,8,10,9,8,7,9,8,10,9,6,8,9,9,9,6,10,9,9,10,7,6,10,9,9,5,9,9,8,8,9,9,8,6,7,3,9,10,8,12,7,7,3,9,6,9,8,8,9,7,9,9,10,6,9,6,10,6,8,7,6,7,10,9,10,4,6,7,6,9,6,10,9,5,8,6,8,8,9,9,6,9,7,8,9,5,9,6,8,10,9,8,5,6,8,4,9,9,8,18,8,8,9,9,7,3,11,10,9,8,4,9,8,7,9,7,7,9,12,9,9,8,9,9,6,7,9,9,9,9,8,8,6,9,8,9,10,6,6,9,6,9,5,6,9,7,8,9,7,7,6,8,9,9,8,6,9,6,6,9,6,7,9,7,9,6,8,7,9,7,8,9,8,8,6,6,8,9,7,7,9,9,10,6,6,3,9,8,10,9,8,10,6,10,9,6,9,8,18,9,9,6,8,4,9,8,9,9,6,8,6,9,6,9,9,4,9,7,9,6,6,11,9,9,8,9,7,8,6,10,9,12,11,9,9,5,7,6,9,10,12,9,10,9,6,7,9,7,5,9,7,8,9,8,8,6,10,8,6,9,7,9,6,7,12,6,10,6,9,4,9,5,9,6,8,6,6,10,9,9,7,8,9,9,8,3,10,9,9,7,8,6,6,10,9,7,8,18,8,9,6,8,10,9,10,7,9,9,8,9,7,8,6,8,8,9,8,11,12,10,8,9,8,8,9,9,10,9,6,7,6,6,7,9,11,5,9,7,9,9,8,8,9,8,9,6,10,10,9,9,6,9,8,9,12,9,11,3,4,10,9,7,10,6,7,4,9,6,8,9,7,5,6,8,8,6,8,7,9,8,9,6,9,7,6,2,9,9,7,7,9,5,8,9,6,6,18,8,7,9,9,7,9,8,8,9,9,8,9,5,5,6,8,9,9,5,7,6,8,9,9,8,9,9,9,6,6,9,7,6,6,9,9,5,8,6,8,7,9,9,10,9,11,7,9,5,8,9,9,10,9,8,9,9,11,6,9,8,9,9,6,7,6,10,8,9,11,9,9,6,7,6,8,6,6,7,7,9,8,9,9,7,9,9,8,5,9,8,10,9,7,10,9,6,10,18,6,9,9,9,7,6,8,6,9,6,10,6,10,6,6,5,8,9,7,5,9,8,8,3,7,9,9,7,8,6,10,7,6,7,6,9,5,8,9,3,6,9,10,8,9,9,7,6,10,5,9,6,8,9,4,9,12,10,9,6,9,6,9,7,7,6,7,8,9,5,8,9,8,9,6,9,10,9,9,8,9,7,8,6,8,9,9,6,10,9,10,8,9,8,8,9,9,8,18,6,9,9,9,8,6,9,9,9,10,6,9,7,9,9,6,8,9,9,9,6,10,6,6,8,9,9,9,9,9,6,9,6,11,8,9,9,5,9,7,6,9,7,10,9,7,8,9,5,8,3,9,10,9,8,6,6,8,9,12,7,9,9,7,8,6,7,7,6,5,6,9,8,6,9,9,4,9,10,9,9,9,7,9,7,9,6,10,9,9,4,10,6,7,7,6,8,8,18,9,7,12,9,9,9,7,8,9,6,8,6,10,8,9,10,5,9,6,7,9,4,5,9,9,9,9,5,8,6,3,5,12,8,7,9,8,7,9,8,7,3,9,8,9,8,7,9,10,6,9,7,9,9,6,9,6,8,9,6,9,7,27,8,7,6,4,6,9,9,7,9,7,9,9,8,8,9,6,8,9,5,10,9,9,10,9,8,10,9,10,3,9,9,8,6,6,7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10,7,12,8,9,9,10,9,9,9,10,6,9,9,9,10,8,12,9,11,9,6,7,9,11,9,6,10,10,12,10,9,9,9,8,12,7,10,9,10,8,9,9,8,6,5,8,12,11,5,18,7,10,9,11,10,9,10,11,9,8,4,6,8,7,6,5,7,9,9,9,6,8,9,12,9,7,9,8,9,9,8,10,6,10,9,9,7,8,9,8,8,9,9,8,9,8,10,6,12,7,12,10,8,18,8,10,6,8,7,12,5,7,9,10,9,6,8,10,9,7,7,9,8,10,9,8,10,9,9,10,9,10,7,12,12,7,9,8,10,9,8,11,12,10,10,9,10,10,18,8,6,12,10,8,15,8,8,18,11,10,6,8,7,6,8,7,9,6,6,12,6,10,9,11,6,9,11,9,9,12,6,12,8,11,9,4,10,12,8,10,6,7,10,18,11,10,12,6,10,9,6,10,9,10,10,6,10,8,9,5,6,9,10,7,12,8,10,9,11,10,9,9,9,9,9,6,12,6,6,9,6,11,12,10,6,9,10,10,9,11,6,9,8,10,12,7,10,18,9,8,6,9,9,12,9,9,9,6,8,9,6,10,9,10,10,9,7,10,9,10,7,9,8,10,9,6,7,9,9,11,6,10,8,9,11,6,12,10,6,12,9,8,9,8,6,9,10,10,9,11,6,9,8,9,9,10,9,9,11,10,9,9,4,12,12,7,9,8,10,9,4,7,12,9,10,9,10,9,9,8,8,9,9,8,9,6,7,9,9,9,6,10,9,9,7,8,18,8,6,9,8,10,9,12,6,9,9,6,9,9,4,9,8,7,9,7,10,9,8,10,6,11,10,9,12,8,9,6,10,12,5,10,9,11,6,9,10,10,6,10,8,9,10,8,9,9,9,12,11,11,9,10,10,9,7,10,6,10,10,9,4,9,12,10,8,6,11,8,9,11,7,9,10,10,9,9,10,9,9,9,6,10,10,12,8,5,9,9,10,9,7,9,12,9,8,18,7,7,9,7,8,9,9,9,9,10,10,12,11,9,6,10,9,18,9,7,12,8,10,12,6,10,9,7,10,9,8,7,6,10,7,9,9,10,6,7,10,9,10,10,9,10,11,12,10,9,9,7,9,27,6,10,6,9,9,9,11,11,9,10,8,12,11,6,9,6,8,9,7,9,6,9,10,12,8,9,9,9,10,9,6,10,9,12,11,18,10,11,12,7,5,9,7,7,18,8,11,12,8,11,9,9,10,9,9,11,9,9,7,12,3,7,9,10,8,6,8,10,9,11,6,9,7,11,12,8,8,12,9,8,9,10,10,12,10,7,9,9,10,9,7,9,9,10,11,9,7,10,9,10,7,12,10,10,12,9,10,9,11,10,6,8,9,9,9,7,9,7,9,6,7,4,12,10,10,9,8,7,9,8,8,9,8,10,9,7,9,12,10,10,6,8,11,18,7,8,12,9,8,9,8,7,9,9,10,9,10,10,9,12,4,9,10,7,9,8,10,9,7,10,9,5,9,9,9,9,6,8,9,9,4,10,9,9,9,3,11,8,9,9,9,9,11,10,9,9,5,9,10,9,9,8,9,6,5,9,9,10,8,12,7,9,6,10,11,9,10,9,9,10,6,9,11,6,9,10,10,9,9,7,6,10,8,9,9,7,9,8,9,9,7,10,18,8,8,6,9,10,12,9,7,9,7,6,12,9,11,9,9,11,9,6,9,9,10,8,12,9,8,9,9,8,6,9,6,6,9,8,9,10,6,12,10,9,6,4,10,9,9,8,9,10,8,9,8,6,9,4,10,9,8,11,9,11,7,9,10,8,6,7,4,12,9,10,9,9,7,9,9,12,6,11,8,9,8,10,9,8,4,9,6,11,9,11,6,9,7,7,9,5,6,18,10,11,9,8,9,9,9,9,9,6,10,12,10,9,9,8,11,9,7,10,9,10,9,9,9,10,9,9,9,12,9,9,12,6,8,9,10,10,6,10,9,12,8,6,9,5,9,12,6,9,12,9,6,9,6,11,9,9,6,9,11,7,9,9,9,12,10,10,3,7,8,9,10,8,12,8,8,9,5,10,9,9,9,9,9,10,9,6,8,18,12,12,9,4,8,9,8,8,18,10,9,9,8,10,9,6,9,9,8,10,9,11,6,9,10,9,9,11,5,12,10,11,9,8,8,9,8,10,6,11,7,6,11,9,9,9,10,9,9,9,12,10,8,9,10,9,9,7,8,9,10,10,9,6,9,9,8,11,6,9,8,9,3,9,12,7,8,6,9,10,9,12,10,6,9,12,9,8,6,9,9,5,9,9,7,12,8,9,9,6,8,9,11,9,9,10,11,18,7,11,12,11,9,9,10,7,9,11,8,12,9,11,6,11,10,9,9,8,6,8,7,9,9,7,9,10,9,6,8,9,12,10,9,9,9,10,9,10,8,9,7,10,9,6,11,12,9,7,6,9,10,9,8,10,9,9,8,9,5,10,9,11,10,12,11,10,6,10,7,9,5,11,6,8,10,9,10,10,9,10,7,9,11,7,9,10,10,9,8,11,9,10,10,6,7,10,18,10,8,9,8,8,9,9,7,9,10,10,9,9,6,9,10,9,9,10,8,9,2,9,9,9,8,9,10,8,6,8,6,12,7,10,9,10,9,12,8,9,9,10,8,9,10,4,9,10,10,9,9,10,9,10,10,9,10,8,6,10,8,9,10,9,12,8,11,9,7,8,9,10,11,9,9,10,6,10,8,9,7,11,9,9,7,9,10,9,9,9,7,6,11,8,9,8,10,18,9,9,3,12,8,9,9,8,9,11,8,9,8,5,9,10,7,9,9,10,6,10,5,12,11,11,9,9,10,12,6,12,6,8,8,18,10,9,9,6,11,12,8,12,9,9,9,9,11,10,9,9,8,9,8,10,9,9,7,12,9,9,9,9,9,6,6,7,12,9,7,9,5,10,9,6,8,6,9,7,9,9,6,9,12,9,9,4,10,9,7,7,9,10,8,9,11,5,18,10,9,6,6,11,9,11,9,9,6,10,12,9,9,9,7,10,9,7,7,9,10,8,6,10,8,9,7,9,9,10,9,6,8,8,18,11,9,9,7,11,9,10,6,9,9,10,6,7,8,9,10,9,9,8,11,9,9,9,9,10,10,9,9,11,12,6,8,9,8,11,9,9,4,12,9,8,6,9,7,9,8,9,6,8,9,12,10,9,9,10,9,9,8,9,9,9,9,18,11,11,9,10,5,9,8,10,9,8,8,9,10,7,9,9,7,9,10,8,9,8,10,9,6,9,9,10,7,9,6,11,6,8,6,9,5,8,9,9,11,9,9,12,9,9,8,9,10,7,9,9,9,9,8,10,9,10,9,6,4,6,27,7,6,6,10,9,12,8,10,9,8,9,6,11,8,9,10,7,9,8,6,9,8,10,9,11,8,9,9,9,9,13,5,9,5,7,18,6,9,9,10,9,9,9,7,9,10,10,9,9,9,12,10,12,9,6,8,9,10,8,12,12,4,9,5,10,6,8,7,12,8,11,9,9,10,9,8,6,9,11,8,9,5,10,6,9,7,6,8,8,9,8,8,12,10,9,6,7,8,9,9,9,6,8,7,9,8,10,9,8,8,12,6,10,9,11,4,9,10,12,9,10,7,12,6,11,9,7,7,12,8,9,9,9,11,18,9,8,12,8,10,9,6,10,9,9,10,9,10,10,9,10,7,9,9,13,9,8,8,12,12,11,9,10,7,9,11,8,12,11,10,9,7,9,6,9,10,6,10,8,9,11,6,9,10,11,9,7,9,9,10,12,9,10,9,12,11,9,9,9,6,12,8,10,9,9,10,9,7,11,6,9,6,9,6,8,9,10,10,9,10,11,3,10,9,9,9,9,6,11,7,9,8,10,18,10,7,3,10,10,9,9,6,9,8,10,9,8,6,12,7,11,9,10,10,12,10,11,9,10,8,9,5,10,6,9,7,6,7,10,9,12,7,9,8,9,9,10,4,9,10,9,6,9,7,9,8,8,9,10,7,6,7,8,9,10,9,9,8,7,12,8,7,9,8,10,9,6,10,12,9,6,6,10,9,9,9,6,9,10,10,6,6,7,9,9,8,9,10,10,9,10,7,18,9,11,9,7,9,12,9,8,9,9,8,9,9,7,12,11,5,9,5,9,6,10,9,9,8,11,9,9,6,9,10,10,12,8,6,18,9,6,6,12,8,9,10,8,9,6,8,9,7,11,6,10,6,9,10,8,9,8,10,12,9,10,9,4,9,12,9,6,6,12,10,9,8,9,9,9,8,12,5,7,9,7,9,9,9,10,9,8,6,9,6,13,9,9,9,9,10,8,18,9,9,9,9,10,9,12,10,9,9,6,9,9,10,9,6,8,9,9,8,9,8,11,12,9,10,9,10,11,6,8,7,12,8,5,9,11,10,12,7,11,9,8,10,9,11,9,12,11,7,6,8,8,9,8,9,12,11,7,6,7,11,9,9,10,6,10,10,12,6,8,9,10,10,9,9,12,9,10,6,9,8,10,9,8,10,9,10,10,9,7,10,9,9,10,9,7,8,18,9,9,12,8,10,9,7,12,9,11,6,9,7,9,6,7,11,9,10,10,9,10,9,9,10,8,9,7,12,12,1,7,6,10,7,9,9,5,9,10,7,9,8,10,9,7,10,12,9,8,6,10,10,9,10,5,9,10,7,9,6,9,9,10,9,6,8,11,9,10,5,9,10,10,9,8,8,9,10,8,9,11,5,12,8,8,9,8,11,9,7,9,9,10,8,6,8,10,18,7,5,12,8,9,12,4,10,9,10,10,9,11,8,9,9,8,9,12,11,9,8,11,12,8,11,9,11,5,9,9,7,12,8,6,9,7,8,9,8,10,6,10,10,9,7,7,9,8,10,12,6,11,9,10,8,3,10,7,9,9,5,9,7,10,12,9,6,9,10,10,9,11,10,12,9,8,9,9,7,9,6,10,12,10,8,9,8,9,9,9,8,12,9,11,9,9,10,18,9,10,9,12,9,12,9,7,9,8,12,9,6,9,9,12,9,9,10,10,12,8,7,12,10,10,9,7,4,9,8,11,6,9,9,9,6,10,9,9,10,9,6,10,9,6,11,6,8,7,6,11,6,18,10,10,9,6,10,9,10,10,9,10,11,6,9,8,12,10,9,9,7,7,9,11,10,9,11,10,9,11,5,9,6,10,9,6,9,9,8,8,6,9,8,12,10,10,18,9,10,9,8,11,9,11,11,9,5,8,9,9,7,9,10,10,9,9,11,9,10,9,6,10,9,9,11,9,9,11,5,6,6,12,9,9,9,6,8,9,9,9,10,9,8,10,12,10,7,12,12,9,9,8,10,12,8,7,9,12,10,9,7,11,6,8,6,9,10,9,9,9,7,6,11,8,6,8,9,9,9,11,6,10,9,12,12,10,9,9,7,9,5,11,9,10,5,18,8,9,9,8,6,9,10,9,9,5,8,9,9,9,6,10,8,18,10,8,6,12,10,9,8,11,9,11,10,6,10,9,12,8,3,9,10,11,9,9,9,9,12,10,9,11,10,9,9,8,6,10,8,9,4,10,12,10,7,6,9,11,9,8,11,6,7,10,9,12,11,27,8,10,9,11,10,12,10,8,9,11,10,9,6,7,9,11,5,9,6,9,9,9,7,9,10,9,18,6,10,12,7,11,9,9,5,9,9,8,9,11,9,12,9,9,9,9,8,9,6,9,9,11,8,9,10,11,12,8,8,12,10,12,9,10,10,12,9,9,9,6,8,9,7,9,9,7,7,6,8,10,9,6,6,6,9,9,6,7,8,9,10,9,6,9,10,9,10,8,9,11,7,9,6,12,12,8,11,9,10,11,9,8,8,9,10,12,9,9,7,9,9,9,9,10,7,18,8,9,9,9,10,9,6,10,9,10,8,6,9,9,9,10,7,18,9,10,9,6,7,9,10,10,9,9,8,9,8,9,12,9,8,9,8,7,9,9,8,9,7,10,9,11,9,12,9,9,9,9,9,9,10,10,6,11,9,9,12,2,9,7,7,12,8,10,6,12,9,9,8,10,9,10,6,9,10,10,9,7,7,9,10,9,6,10,10,9,9,8,9,10,5,6,4,10,18,9,8,9,10,8,9,7,8,9,8,10,12,6,9,6,10,8,9,9,10,9,8,9,12,11,5,9,7,10,9,8,8,6,9,8,9,12,5,9,8,10,9,8,10,9,9,8,9,13,10,9,7,8,9,10,11,9,7,11,6,10,6,9,10,10,12,9,6,9,9,10,9,7,8,12,10,6,9,8,9,9,10,7,9,5,9,12,4,9,9,11,11,9,6,8,12,10,8,18,9,8,9,7,11,12,9,8,9,10,10,9,10,7,9,10,10,9,8,9,12,8,9,9,9,11,9,10,8,12,11,11,12,7,11,9,9,7,6,10,6,12,7,10,9,10,10,12,9,8,9,9,11,9,10,9,6,10,8,9,9,10,9,7,10,12,11,10,6,12,10,18,9,9,6,11,10,9,9,8,9,9,9,9,9,7,9,10,7,9,8,10,12,9,8,12,7,11,18,7,9,12,9,9,12,9,10,9,8,8,6,12,10,6,6,8,9,10,6,9,10,8,9,10,10,9,10,9,9,12,7,12,9,8,9,9,10,9,7,8,12,9,8,9,10,7,9,11,8,9,11,7,18,8,10,12,6,7,6,10,7,9,11,4,12,11,12,12,8,10,9,8,9,9,7,10,9,10,5,9,11,11,9,9,7,9,8,10,9,11,8,9,8,9,9,12,10,18,7,10,12,12,8,9,7,11,9,11,8,9,11,7,9,6,9,9,8,11,9,10,7,12,9,8,9,11,8,12,7,10,6,11,9,9,9,9,6,9,5,9,7,8,9,8,9,12,9,9,6,10,9,9,8,11,9,12,8,9,6,7,9,12,9,6,11,9,9,6,8,9,9,10,9,10,8,9,10,7,9,8,9,9,7,7,9,8,9,9,6,10,9,10,10,9,9,10,18,10,8,12,9,10,9,9,6,18,11,10,6,10,7,12,9,9,9,10,8,12,6,7,9,11,7,9,8,8,9,11,8,12,6,10,9,8,7,9,9,9,3,11,10,9,10,8,12,8,10,9,9,11,9,10,10,6,9,12,12,11,5,9,9,12,6,7,10,12,9,9,18,12,9,9,10,10,9,4,8,9,6,8,9,8,8,9,6,6,9,9,6,9,9,9,9,7,9,18,9,9,9,11,7,12,9,5,9,6,10,9,4,9,9,8,8,9,8,9,9,8,10,9,10,12,9,10,10,12,7,6,6,10,10,9,9,7,9,6,9,9,4,10,9,11,7,9,9,8,9,9,8,9,10,9,9,10,10,9,11,10,9,9,11,6,8,7,9,10,11,9,8,8,9,11,10,9,7,8,9,9,8,9,11,9,12,8,10,9,9,10,3,10,8,12,9,10,18,7,7,9,7,10,6,10,10,9,9,8,12,10,8,9,9,9,9,6,10,9,8,8,9,8,10,9,9,9,6,11,11,12,6,9,9,8,11,9,6,10,9,11,4,9,9,10,9,7,11,6,11,10,9,6,6,9,9,5,9,10,10,9,7,11,12,7,9,3,9,9,9,10,4,9,6,10,12,8,8,9,7,9,6,11,9,9,8,8,9,12,8,9,9,10,9,10,9,18,11,9,9,5,6,9,10,11,9,5,8,9,12,12,9,12,12,9,9,5,9,10,8,9,8,9,9,8,8,6,7,10,12,8,8,9,9,8,9,9,9,9,6,10,9,7,9,9,9,8,12,12,9,9,8,10,9,10,11,9,9,9,9,12,7,12,7,10,12,4,10,9,11,12,6,10,10,6,11,9,27,7,6,9,6,11,6,8,10,9,10,9,9,10,5,12,11,9,18,7,10,12,8,10,6,11,10,9,9,6,9,7,13,9,6,8,9,9,12,9,8,10,9,10,8,9,8,10,12,8,9,12,8,9,9,9,9,9,9,7,9,9,10,9,1,10,6,11,7,9,8,8,9,10,6,6,7,10,6,6,5,9,11,9,6,10,7,9,8,5,9,8,7,9,9,12,3,10,8,9,8,10,12,9,7,9,6,7,9,7,10,9,7,9,6,10,7,18,9,8,9,9,6,12,8,8,9,10,2,9,8,11,9,10,8,9,10,13,9,8,9,9,9,11,9,6,8,9,10,9,12,7,9,9,7,8,12,10,10,9,5,6,9,10,5,12,10,9,9,8,10,9,8,6,9,8,6,9,8,7,9,11,10,12,7,12,9,6,8,9,8,9,3,7,8,9,10,11,9,6,9,12,8,8,3,10,9,18,10,7,9,10,9,12,7,10,18,11,7,6,9,7,9,9,5,18,9,10,12,9,10,9,10,10,9,7,8,12,8,6,6,11,10,9,7,10,9,10,10,6,10,12,9,9,9,12,4,11,9,9,10,9,11,10,6,9,7,12,8,9,9,10,8,6,9,9,9,7,11,9,7,10,12,12,7,9,8,7,9,6,9,12,9,10,6,9,9,9,11,10,6,8,11,9,4,12,9,9,7,9,7,8,6,10,3,18,7,10,9,7,5,9,11,11,9,7,8,9,9,9,9,7,9,9,8,9,9,10,8,9,9,10,9,8,8,9,10,10,12,10,10,9,10,11,9,10,7,9,9,6,9,9,7,6,7,9,9,8,8,9,10,11,12,11,7,12,8,11,9,6,8,12,9,11,3,9,11,9,9,7,12,8,8,12,9,9,9,10,9,9,7,8,6,8,8,9,7,11,9,10,11,9,6,11,18,9,4,12,8,9,9,10,5,9,6,10,9,6,8,9,7,10,9,10,7,12,8,7,9,4,11,9,8,11,6,10,8,12,5,10,9,10,9,9,6,8,9,9,8,9,10,8,9,11,6,12,8,7,9,8,8,9,9,11,9,10,9,9,11,6,6,11,10,9,8,12,9,10,8,9,8,8,6,9,7,9,11,7,9,7,10,12,8,10,9,8,10,9,10,8,12,11,6,18,6,7,6,11,9,9,7,11,9,10,6,12,7,11,9,4,10,9,8,9,9,8,7,9,10,9,9,10,11,6,7,6,6,9,9,9,10,8,9,11,7,9,10,10,9,10,8,9,12,11,6,8,9,9,6,8,9,10,9,12,6,11,9,11,12,12,12,10,12,11,5,9,4,8,6,6,6,9,10,8,9,11,10,9,10,5,9,8,10,18,6,11,6,10,6,9,9,11,18,9,7,9,7,11,9,9,10,9,10,10,6,12,9,9,8,9,9,12,10,12,6,7,6,8,10,9,10,10,12,9,7,6,5,11,9,8,8,9,8,8,9,9,6,9,9,9,9,8,7,9,5,8,9,10,10,6,10,8,9,9,6,9,9,8,12,8,5,9,9,9,9,12,10,12,8,6,12,6,8,9,8,9,12,10,8,9,6,8,9,9,2,9,11,11,9,10,7,18,10,7,6,9,10,6,8,9,9,10,10,9,8,9,12,10,12,9,11,9,12,10,7,12,5,10,9,7,9,12,10,10,6,6,10,9,9,5,12,8,9,12,8,8,9,11,9,9,10,11,9,10,6,9,10,9,3,9,4,12,7,9,9,11,7,6,9,8,12,7,10,9,8,11,9,10,8,9,8,7,18,11,7,9,10,9,9,10,7,9,6,10,6,10,7,12,7,6,1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8,10,10,9,7,10,12,11,10,9,11,9,12,11,8,9,12,12,9,4,12,9,9,10,12,11,11,18,11,9,12,10,11,12,10,10,9,10,10,9,12,11,9,9,5,9,10,9,12,10,7,9,11,8,9,9,10,9,11,7,12,10,10,9,10,11,9,9,12,3,8,10,9,10,6,9,9,11,12,8,11,9,10,12,9,8,10,9,8,6,9,9,8,12,9,9,12,9,12,9,6,12,12,12,8,6,9,8,9,9,11,6,10,9,9,10,9,9,7,5,12,9,10,12,10,11,18,10,11,9,10,9,12,9,9,9,11,8,12,8,10,6,11,10,9,10,12,9,8,5,12,9,12,9,10,10,12,8,9,6,10,11,9,9,11,3,11,8,9,6,10,9,9,8,9,9,13,12,9,9,9,6,8,6,10,10,9,9,11,9,11,9,12,6,7,12,10,11,9,6,11,9,9,8,9,12,11,9,10,4,12,12,11,9,10,11,9,10,11,6,12,9,12,6,5,18,11,7,12,10,11,12,10,8,9,8,10,12,12,9,12,12,9,9,8,11,9,12,8,9,10,10,9,12,9,9,12,9,12,9,8,18,10,9,6,10,10,6,12,6,9,6,11,9,9,10,9,10,10,9,10,9,12,5,10,9,9,8,18,8,12,12,12,9,6,9,8,18,5,7,12,10,10,9,6,11,9,8,8,9,8,11,9,11,10,9,7,9,12,5,11,12,8,8,18,8,11,9,10,10,12,11,7,9,8,10,12,11,11,9,12,11,9,10,7,9,12,10,12,6,10,9,11,5,9,9,7,12,9,6,9,7,10,9,6,11,12,10,12,9,10,9,9,10,10,9,11,12,18,8,10,9,11,11,9,10,8,9,9,9,12,9,10,12,9,10,9,10,12,9,12,6,12,11,10,9,10,11,12,10,9,12,6,9,9,11,11,12,11,4,9,11,11,18,9,9,12,10,9,6,9,10,9,8,10,9,8,11,15,8,11,9,10,10,6,8,12,9,11,10,9,8,10,9,10,7,12,8,9,9,13,10,9,5,8,12,11,10,9,5,11,9,9,11,9,11,9,9,10,8,12,10,11,12,9,12,18,9,11,6,9,9,12,10,8,9,10,10,9,9,10,9,10,9,9,9,12,9,12,7,12,10,10,9,6,8,12,10,11,6,9,8,18,9,10,12,12,11,9,6,12,9,9,10,12,9,6,9,10,8,9,8,10,9,6,12,12,9,7,9,11,7,12,9,8,12,11,12,9,6,12,12,10,9,9,8,10,9,11,4,9,11,10,12,9,7,9,8,13,9,10,9,12,11,9,9,11,9,12,8,10,6,11,9,9,9,10,6,11,6,12,9,11,9,5,11,12,10,11,9,12,8,9,9,10,9,5,9,12,5,12,18,10,11,9,8,9,6,10,7,18,11,12,12,10,9,12,10,9,9,11,10,12,4,6,9,6,11,9,6,10,9,10,10,6,9,12,9,11,7,9,9,8,12,9,10,9,9,10,9,10,10,12,11,6,9,10,11,12,8,10,12,11,9,9,11,10,6,6,7,9,7,11,9,7,11,9,11,8,6,10,12,9,9,8,9,10,9,12,10,13,9,10,9,9,8,9,9,12,10,27,12,10,9,8,10,12,10,14,18,12,6,9,10,10,9,8,10,9,9,10,9,10,7,6,10,10,9,11,7,9,11,12,12,9,9,18,9,10,6,9,11,9,9,6,9,10,11,12,6,12,9,10,11,9,10,11,12,10,8,12,4,10,9,9,11,12,9,10,6,6,9,9,8,6,9,9,10,12,8,8,9,10,9,9,8,10,9,15,16,18,11,10,9,12,10,9,11,19,18,5,10,9,10,5,9,10,10,27,2,4,6,8,9,6,10,12,18,11,4,6,8,10,9,6,10,9,11,12,6,8,9,12,10,8,9,12,12,12,7,10,9,12,10,9,10,11,9,10,6,9,8,10,9,8,6,12,8,6,6,10,9,9,9,8,12,8,10,6,8,10,9,11,7,9,8,8,6,8,7,18,8,11,12,8,11,12,11,13,18,5,7,12,10,8,6,10,11,18,3,6,9,12,12,9,11,10,9,11,4,6,8,10,12,10,9,9,9,11,6,8,8,9,8,5,9,10,7,12,8,10,12,14,10,9,10,8,6,11,8,12,9,12,9,10,7,12,9,9,9,8,10,18,10,8,9,10,3,9,6,11,9,11,10,12,12,8,6,12,10,9,11,12,12,6,12,9,8,12,9,6,8,12,10,7,12,6,11,9,10,6,9,8,12,12,11,12,18,10,4,9,10,11,12,8,12,9,8,11,6,8,10,9,11,10,9,9,9,12,8,10,12,11,8,9,11,9,9,12,8,12,5,13,9,8,11,9,12,10,6,11,10,9,10,9,9,11,10,12,5,12,9,12,11,9,7,9,9,10,7,9,9,8,6,10,11,12,10,12,9,12,11,9,12,8,12,11,8,9,6,8,9,10,9,12,10,8,9,10,11,9,10,11,12,10,7,18,11,11,6,11,13,12,7,9,9,10,10,12,8,10,9,8,11,9,8,10,12,10,7,12,7,12,9,6,9,9,8,10,12,10,12,9,10,11,9,12,10,9,6,12,9,8,11,6,10,11,9,11,7,9,10,9,12,9,9,12,11,11,9,10,10,12,9,6,9,11,8,9,9,10,6,11,10,3,10,10,9,11,6,9,10,12,6,8,9,9,6,8,9,9,10,12,10,8,18,9,12,12,7,12,9,10,7,9,10,12,9,10,8,12,9,8,9,9,10,12,8,10,9,12,10,9,9,8,12,9,8,12,7,12,9,11,10,9,11,7,12,10,6,9,10,11,9,11,9,12,11,11,9,10,12,15,10,10,9,13,9,9,6,10,12,4,10,6,13,10,9,11,7,12,10,10,9,8,10,9,10,13,6,9,12,12,10,8,9,11,9,9,11,10,12,10,13,18,10,12,15,13,7,15,11,6,9,4,8,12,10,11,6,10,12,9,9,8,9,10,9,6,5,14,9,10,7,9,12,10,6,11,9,9,8,11,6,9,9,9,8,10,9,9,10,12,12,9,9,10,11,18,6,12,6,11,6,6,7,7,9,11,8,12,10,10,9,10,11,9,9,11,6,9,10,9,10,8,9,10,6,9,7,10,9,6,7,9,8,9,12,12,10,9,7,9,18,9,11,9,11,10,6,12,3,9,6,8,9,10,8,6,7,11,9,11,9,9,8,13,12,14,8,9,6,12,9,7,12,12,8,8,9,10,7,15,10,11,9,12,12,9,7,9,9,10,11,6,11,10,9,12,5,12,10,5,9,7,7,18,9,11,6,13,7,9,9,9,9,11,10,9,6,10,9,7,12,9,10,11,9,11,8,12,8,11,9,9,10,12,8,11,9,6,8,18,11,8,9,10,11,12,7,5,9,11,8,9,9,11,12,11,9,9,11,10,12,6,9,9,11,11,9,12,9,12,11,8,12,11,10,9,8,11,12,8,8,9,8,10,9,12,7,12,7,12,9,9,12,9,12,11,9,10,9,12,9,9,9,9,10,6,8,10,12,11,9,9,11,10,9,11,8,12,9,9,9,8,9,12,7,11,9,11,10,9,9,7,12,9,10,12,11,9,18,12,10,12,8,9,12,15,10,9,6,10,9,10,8,9,9,13,9,12,11,12,8,10,9,14,10,18,7,12,9,14,9,6,12,8,9,11,8,9,9,12,9,6,12,9,11,6,6,10,10,12,7,7,9,12,10,12,8,11,6,9,10,9,9,11,12,13,10,12,11,10,9,8,10,9,9,8,9,7,7,9,8,7,9,10,11,12,10,11,9,10,9,9,8,11,9,11,16,18,10,9,12,12,10,9,13,18,27,5,10,12,8,7,12,9,12,18,4,6,9,11,11,12,10,11,18,12,6,9,10,14,12,9,7,9,10,12,12,11,10,15,9,12,9,12,10,12,11,9,12,10,12,18,10,12,12,14,14,12,9,11,9,8,11,12,11,12,9,11,8,18,8,7,15,11,10,15,12,10,18,10,9,12,12,10,12,16,17,18,8,10,9,12,14,12,13,19,36,5,10,15,15,21,15,15,24,45,1]
print(res[k])