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;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;

namespace AtCoder.ABC
{
    class Program
    {
        static void Main ()
        {
            Console.WriteLine (Solve (int.Parse (Console.ReadLine ())).Min ());
        }
        static IEnumerable<int> Solve (int n)
        {
            for (var i = 0; i < n; i++)
            {
                var j = n - i;
                var cnt6 = Enumerable.Range (0, i)
                    .Select (p => Math.Pow (6, p))
                    .TakeWhile (val => val <= i)
                    .Select (val => Math.Floor (i / val) % 6)
                    .Sum (val => (int) val);
                var cnt9 = Enumerable.Range (0, j)
                    .Select (p => Math.Pow (9, p))
                    .TakeWhile (val => val <= j)
                    .Select (val => Math.Floor (j / val) % 9)
                    .Sum (val => (int) val);
                yield return cnt6 + cnt9;
            }
        }
    }
}