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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;

namespace _99_C_StrangeBank
{
    class Program
    {
        static void Main(string[] args)
        {
            //power of 1,6,9;
            int n = int.Parse(Console.ReadLine());
            int cnt = 0;
            while (n > 18)
            {
                if ((n / 59049) >= 1)
                {
                    cnt++;
                    n -= 59049;
                }
                else if (n / 46656 >= 1)
                {
                    cnt++;
                    n -= 46656;
                }
                else if (n / 7776 >= 1)
                {
                    cnt++;
                    n -= 7776;
                }
                else if (n / 6561 >= 1)
                {
                    cnt++;
                    n -= 6561;
                }
                else if (n / 1296 >= 1)
                {
                    cnt++;
                    n -= 1296;
                }
                else if (n / 729 >= 1)
                {
                    cnt++;
                    n -= 729;
                }
                else if (n / 216 >= 1)
                {
                    cnt++;
                    n -= 216;
                }
                else if (n / 81 >= 1)
                {
                    cnt++;
                    n -= 81;
                }
                else if (n / 36 >= 1)
                {
                    cnt++;
                    n -= 36;
                }
                else if (n / 9 >= 1)
                {
                    cnt++;
                    n -= 9;
                }
                else if (n / 6 >= 1)
                {
                    cnt++;
                    n -= 6;
                }
            }
            if (n <= 5) cnt += n;
            else if (n == 6 || n == 9) cnt++;
            else if (n == 7 || n == 10 || n == 12 || n == 15) cnt += 2;
            else if (n == 8 || n == 11 || n == 13 || n == 16) cnt += 3;
            else if (n == 14 || n == 17) cnt += 4;
            Console.WriteLine(cnt);
        }

    }

}