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 N = int.Parse(Console.ReadLine());
            int count = 0;

            int div9 = 59049;
            int div6 = 46656;
            int dif9 = 0;
            int dif6 = 0;

            int money = N;
            while (money > 0) {
                while (money < div9)
                {
                    div9 /= 9;
                }
                dif9 = money - div9;

                while (money < div6)
                {
                    div6 /= 6;
                }
                dif6 = money - div6;

                
                if (money < 6)
                {
                    count += money;
                    money = 0;
                    Console.WriteLine(money);

                    break;
                }

                if (dif6 > dif9)
                {
                    count++;
                    money = dif9;

                }
                else
                {
                    count++;
                    money = dif6;

                }
                
            }

            Console.WriteLine(count);
        }
    }
}