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 (3.4.3) (judge verdict: Wrong Answer)

import math

def fn6(num):
    if num < 6:
        return num
    else:
        a = math.floor(math.log(num,6))
        ret = 1
        ret += fn6(num-math.pow(6,a))
        return ret

def fn9(num):
    if num < 9:
        return num
    else:
        a = math.floor(math.log(num,9))
        ret = 1
        ret += fn9(num-math.pow(9,a))
        return ret

n = int(input())
min = n

for i in range(n):
    ans = fn6(i) + fn9(n-i)
    if ans < min:
        min = ans

print(int(min))