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.Text.RegularExpressions;


class Program
{
    static void Main(string[] args)
    {
        string str1;
        str1 = Console.ReadLine(); //標準入力
        int a = int.Parse(str1);
        //int a = 44852;
        int count = 1;
        int[] tmp = new int[3];
        while (true)
        {
            tmp[0] = a - 1;
            tmp[1] = Func1(a);
            tmp[2] = Func2(a);

            if (tmp[0] == 0 || tmp[0] == 0 || tmp[2] == 0)
            {
                break;
            }
            Array.Sort(tmp);
            a = tmp[0];
            count++;
        }
        Console.WriteLine(count);
    }

    static int Func1(int a)
    {
        int count = 1;
        while(true)
        {
            int tmp = (int)System.Math.Pow(6, count);
            int tmp2 = a - tmp;
            if (tmp2 == 0)
            {
                return 0;
            }
            if (tmp2 < 1)
            {
                if (count == 1)
                {
                    return a;
                }
                else {
                    return a - (int)System.Math.Pow(6, count - 1);
                }            
            }

            tmp2 -= a;
            count++;
        }
    }

    static int Func2(int a)
    {
        int count = 1;
        while (true)
        {
            int tmp = (int)System.Math.Pow(9, count);
            int tmp2 = a - tmp;
            if (tmp2 == 0)
            {
                return 0;
            }
            if (tmp2 < 1)
            {
                if (count == 1)
                {
                    return a;
                }
                else
                {
                    return a - (int)System.Math.Pow(9, count - 1);
                }
            }

            tmp2 -= a;
            count++;
        }        
    }
}