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<vector>
#include<string>
#include<algorithm>
#include<queue>
#include<climits>
#include<cmath>
#include<sstream>
#include<iomanip>
#include <map>
#include <stack>
 
const int64_t cc = pow( 10, 9 );
//std::cout<< std::fixed << std::setprecision(10) << ( double )( max ) / 2;
bool sort_pair( std::pair< std::string, int64_t > origin, std::pair< std::string, int64_t > another )
{
    return origin.second  > another.second;
}
 
int main()
{
    std::string word = "aa";
    int64_t a,b,c,d,e;
    std::cin>> a;
    std::vector< int64_t > list;
    b = 9;
    c = 0;
    e = -1;

    while( a >= b )
    {
        list.push_back( b );
        b *= 9;
    }

    b = 6;

    while( a >= b )
    {
        list.push_back( b );
        b *= 6;
    }

    list.push_back( 1 );
    std::sort( list.begin(), list.end() );
    e = list.size() - 1;

    while( a != 0 )
    {
        if( list[e] <= a )
        {
            a -= list[e];
            c += 1;
        }
        else
        {
            e -= 1;
        }
    }
    
    std::cout<< c <<"\n";
}