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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;

#define rp(i, k, n) for (int i = k; i < n; i++)
typedef long long ll;

ll mod = 1e9 + 7;



int main() {
    int n;
    scanf("%d", &n);
    int ans = n;
    rp(i, 0, n) {
        int t = i;
        int count = 0;
        while (t > 0) {
            count += t%6;
            t /= 6;
        }
        t = n - i;
        while (t > 0) {
            count += t%9;
            t /= 9;
        }
        if (ans > count) {
            ans = count;
        }
    }
    printf("%d\n", ans);
    return 0;

}