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;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace atcoder
{
    class Program
    {
        static void Main(string[] args)
        {
            int six = 1;
            int nine = 1;
            int count = 0;
            int N = int.Parse(Console.ReadLine());

            while (N >= 6)
            {
                if (N >= 9)
                {
                    while (N >= nine)
                    {
                        nine *= 9;
                    }

                    if (nine != 1)
                    {
                        nine /= 9;
                        count++;
                        N -= nine;
                    }
                }

                if (N >= 6)
                {
                    while (N >= six)
                    {
                        six *= 6;
                    }

                    if (six != 1)
                    {
                        six /= 6;
                        count++;
                        N -= six;
                    }
                }
            }
            Console.WriteLine(count + N);
        }
    }
}