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;

namespace ABC099_C
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = int.Parse(Console.ReadLine());

            var c = 0;
            while (N > 0)
            {
                if (N >= 93312) N -= 46656;
                else if (N >= 59049) N -= 59049;
                else if (N >= 46656) N -= 46656;
                else if (7776 + 6561 > N && N >= 6561 + 6561) N -= 6561;
                else if (N >= 7776) N -= 7776;
                else if (N >= 6561) N -= 6561;
                else if (1296 + 729 * 6 > N && N >= 729 * 7) N -= 729;
                else if (1296 + 729 * 5 > N && N >= 729 * 6) N -= 729;
                else if (1296 + 729 * 4 > N && N >= 729 * 5) N -= 729;
                else if (1296 + 729 * 3 > N && N >= 729 * 4) N -= 729;
                else if (1296 + 729 * 2 > N && N >= 729 * 3) N -= 729;
                else if (1296 + 729 > N && N >= 729 + 729) N -= 729;
                else if (N >= 1296) N -= 1296;
                else if (N >= 729) N -= 729;
                else if (N >= 216) N -= 216;
                else if (N >= 81) N -= 81;
                else if (N >= 36) N -= 36;
                else if (15 > N && N >= 12) N -= 6;
                else if (N >= 9) N -= 9;
                else if (N >= 6) N -= 6;
                else
                {
                    c += N;
                    break;
                }
                c++;
            }
            Console.WriteLine(c);
        }
    }
}