Problem:


Score : 300 points

Problem Statement

To make it difficult to withdraw money, a certain bank allows its customers to withdraw only one of the following amounts in one operation:

1 yen (the currency of Japan)

6 yen, 6^2(=36) yen, 6^3(=216) yen, ...

9 yen, 9^2(=81) yen, 9^3(=729) yen, ...

At least how many operations are required to withdraw exactly N yen in total?

It is not allowed to re-deposit the money you withdrew.

Constraints

1 \leq N \leq 100000

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If at least x operations are required to withdraw exactly N yen in total, print x.

Sample Input 1

127

Sample Output 1

4

By withdrawing 1 yen, 9 yen, 36(=6^2) yen and 81(=9^2) yen, we can withdraw 127 yen in four operations.

Sample Input 2

3

Sample Output 2

3

By withdrawing 1 yen three times, we can withdraw 3 yen in three operations.

Sample Input 3

44852

Sample Output 3

16



Sample input:
127


Sample output:
4

Submission status: Accepted

Solution code:
print([0,1,2,3,4,5,1,2,3,1,2,3,2,3,4,2,3,4,2,3,4,3,4,5,3,4,5,3,4,5,4,5,6,4,5,6,1,2,3,4,5,6,2,3,4,2,3,4,3,4,5,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,2,3,4,5,6,7,3,4,5,1,2,3,4,5,6,2,3,4,2,3,4,3,4,5,3,4,5,3,4,5,4,5,6,4,5,6,3,4,5,5,6,7,4,5,6,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,1,2,3,4,5,6,2,3,4,2,3,4,3,4,5,3,4,5,3,4,5,4,5,6,4,5,6,3,4,5,5,6,7,4,5,6,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,6,7,8,7,8,9,7,8,9,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,1,2,3,4,5,6,2,3,4,2,3,4,3,4,5,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,3,4,5,6,7,8,4,5,6,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,5,6,7,6,7,8,6,7,8,4,5,6,7,8,9,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,6,7,8,7,8,9,7,8,9,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,6,7,8,7,8,9,7,8,9,1,2,3,4,5,6,2,3,4,2,3,4,3,4,5,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,3,4,5,6,7,8,4,5,6,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,3,4,5,6,7,8,4,5,6,3,4,5,5,6,7,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,4,5,6,7,8,9,5,6,7,4,5,6,6,7,8,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,4,5,6,7,8,9,5,6,7,4,5,6,6,7,8,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,5,6,7,7,8,9,6,7,8,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,4,5,6,7,8,9,5,6,7,4,5,6,6,7,8,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,5,6,7,7,8,9,6,7,8,6,7,8,7,8,9,7,8,9,7,8,9,8,9,10,8,9,10,6,7,8,9,10,11,7,8,9,6,7,8,8,9,10,7,8,9,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,6,7,8,7,8,9,7,8,9,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,5,6,7,7,8,9,6,7,8,6,7,8,7,8,9,7,8,9,7,8,9,8,9,10,8,9,10,6,7,8,9,10,11,7,8,9,6,7,8,8,9,10,7,8,9,2,3,4,5,6,7,3,4,5,3,4,5,4,5,6,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,4,5,6,7,8,9,5,6,7,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,5,6,7,7,8,9,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,3,4,5,6,7,8,4,5,6,4,5,6,5,6,7,5,6,7,5,6,7,6,7,8,6,7,8,4,5,6,7,8,9,5,6,7,4,5,6,6,7,8,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,5,6,7,7,8,9,6,7,8,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,5,6,7,8,9,10,6,7,8,5,6,7,7,8,9,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,6,7,8,8,9,10,7,8,9,6,7,8,8,9,10,7,8,9,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,7,8,9,7,8,9,6,7,8,8,9,10,7,8,9,5,6,7,8,9,10,6,7,8,6,7,8,7,8,9,7,8,9,4,5,6,7,8,9,5,6,7,5,6,7,6,7,8,6,7,8,6,7,8,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