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

Solution in Python (3.8.2) (judge verdict: Runtime Error)

n = int(input())

memo = [-1]*(n+1)

def func(n):
    if n == 0:
        return 0

    if memo[n] != -1:
        return memo[n]

    res = n
    i = 1
    while i <= n:
        res = min(res, func(n-i)+1)
        i *= 6

    j = 1
    while j <= n:
        res = min(res, func(n-j)+1)
        j *= 9

    memo[n] = res
    return memo[n]

ans = func(n)
print(ans)