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:
INF = 999999999999
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11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 7, 8, 9, 10, 11, 12, 8, 9, 10, 7, 8, 9, 9, 10, 11, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 9, 10, 11, 12, 13, 14, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 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9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 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, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 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]

class Solver(object):
    def __init__(self, compute=False):
        self.n = int(input())
        self.minStepToWithdraw = [0]
        self.compute = compute
        if not self.compute:
            self.minStepToWithdraw = PRECOMPUTED

    def solve(self):
        if self.compute:
            for i in range(1, self.n+1):
                min_step = self.get_min_step_to_withdraw(i-1) + 1

                j = 1
                while i - (6**j) >= 0:
                    if (self.get_min_step_to_withdraw(i - (6**j)) + 1) < min_step:
                        min_step = self.get_min_step_to_withdraw(i - (6**j)) + 1
                    j += 1

                j = 1
                while i - (9**j) >= 0:
                    if (self.get_min_step_to_withdraw(i - (9**j)) + 1) < min_step:
                        min_step = self.get_min_step_to_withdraw(i - (9**j)) + 1
                    j += 1
            
                self.minStepToWithdraw.append(min_step)

        print(self.minStepToWithdraw[self.n])
            

    def get_min_step_to_withdraw(self, n):
        if n < 0:
            return INF
        else:
            return self.minStepToWithdraw[n]

if __name__ == "__main__":
    s = Solver()
    s.solve()