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 <iostream>
#include <string>
#include <sstream>
#include <algorithm>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <queue>
#include <utility>
using namespace std;

typedef long long ll;
typedef pair<int, int> P;

#define For(i, a, b) for(int i = (a); i < (b); i++)
#define Rep(i, n) For(i, 0, (n))
#define Rrep(i, n) for(int i = (n - 1); i >= 0; i--)
#define pb push_back

const int inf = 999999999;
const int mod = 1000000007;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};

int a[] = {46656, 7776, 1296, 216, 36, 6};
int b[] = {59049, 6561, 729, 81, 9};
int t[100001];

int main(){
	int n; cin >> n;
	t[1] = 1;
	for(int i = 2; i <= 100000; i++){
		int s = i;
		for(int j = 0; j < 6; j++){
			if(i - a[j] >= 1){
				s = min(t[i - a[j]] + 1, s);
			}
			if(j < 5 && i - b[j] >= 1){
				s = min(t[i - b[j]] + 1, s);
			}
		}
		t[i] = s;
	}
	cout << t[n] << endl;
}