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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.ArrayList;
import java.util.Collections;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int N = sc.nextInt();

		ArrayList<Integer>drawableMoney = new ArrayList<Integer>();

		drawableMoney.add(1);
		for (int i=1; (Math.pow(6,i)) <= 100000; i++){
			drawableMoney.add((int) Math.pow(6,i));
		}
		for (int i=1; (Math.pow(9,i)) <= 100000; i++){
			drawableMoney.add((int) Math.pow(9,i));
		}
		Collections.sort(drawableMoney);

		int temp = N;
		int drawCount = 0;
		int drawMoney;

		while (temp > 0){

			for (int i = drawableMoney.size() -1; i >=0; i--){
				if (temp == 12 || temp == 13 || temp == 14){
					temp = temp - 6;
					drawCount++;
				} else {
					drawMoney = drawableMoney.get(i);
					if (temp >= drawMoney){
						temp = temp - drawMoney;
						drawCount++;
						break;
					}
				}
			}
		}
		System.out.println(drawCount);
	}
}