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)
        {
            new Program().Solve();
        }

        void Solve()
        {
            var n = int.Parse(Console.ReadLine());
            int totalCount = 0;
            while (true)
            {
                if (n < 6)
                {
                    totalCount += n;
                    break;
                }


                var value9 = 1;
                while (true)
                {
                    if (value9 * 9 > n) break;
                    value9 *= 9;
                }

                var value6 = 1;
                while (true)
                {
                    if (value6 * 6 > n) break;
                    value6 *= 6;
                }
                //Console.WriteLine("v6:" + value6);
                //Console.WriteLine("v9" + value9);

                if (value6 == 1 && value9 == 1)
                    Console.WriteLine("hi");
                if (value6 > value9)
                {
                    n -= value6;
                }
                else
                {
                    n -= value9;
                }
                totalCount++;

                //Console.WriteLine("n:" + n);
                //Console.WriteLine("taotal:" + totalCount);
            }
            Console.WriteLine(totalCount);
        }

    }
}