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 <math.h>
#include <sstream>
#include <iomanip>

using namespace std;

int main(){
	int N;
	cin >> N;
    int XXsum = 1000000;
    int N2 = N;
    
    for(int i = 0; i < 9; ++i){
        N = N2;
        int sum = 0;
        int tmp = 1;
        int cnt = 0;
        
        if(i <= 0){
            while(1){
                if(N >= pow(9,5)){
                    N -= pow(9,5);
                    ++sum;
                }else
                    break;
            }
        }

        if(i <= 1){
            while(1){
                if(N >= pow(6,6)){
                    N -= pow(6,6);
                    ++sum;
                }else
                    break;
            }
        }

        if(i <= 2){
            while(1){
                if(N >= pow(6,5)){
                    N -= pow(6,5);
                    ++sum;
                }else
                    break;
            }
        }
        
        if(i <= 3){
            while(1){
                if(N >= pow(9,4)){
                    N -= pow(9,4);
                    ++sum;
                }else
                    break;
            }
        }

        if(i <= 4){
            while(1){
                if(N >= pow(6,4)){
                    N -= pow(6,4);
                    ++sum;
                }else
                    break;
            }
        }
        
        if(i <= 5){
            while(1){
                if(N >= pow(9,3)){
                    N -= pow(9,3);
                    ++sum;
                }else
                    break;
            }
        }
        if(i <= 6){
            while(1){
                if(N >= pow(6,3)){
                    N -= pow(6,3);
                    ++sum;
                }else
                    break;
            }
        }
        if(i <= 7){
            while(1){
                if(N >= pow(9,2)){
                    N -= pow(9,2);
                    ++sum;
                }else
                    break;
            }
        }
        if(i <= 8){
            while(1){
                if(N >= pow(6,2)){
                    N -= pow(6,2);
                    ++sum;
                }else
                    break;
            }
        }
//        cout << "N:" << N << endl;
//        cout << "sum:" << sum << endl;
        
        tmp = 0;
        cnt = 1;
        while(1){
            if(N < 9 * cnt){
                N -= 9*(cnt-1);
                //cout << "AAA" << cnt-1 << endl;
                sum += cnt-1;
                break;
            }
            ++cnt;
        }

        //cout << N << endl;
        
        tmp = 0;
        cnt = 1;
        while(1){
            if(N < 6 * cnt){
                N -= 6*(cnt-1);
                //cout << "AAA" << cnt-1 << endl;
                sum += cnt-1;
                break;
            }
            ++cnt;
        }

        //cout <<"N" << N << endl;
        sum += N;
        
        //cout << sum << endl;
        
        if(sum < XXsum)
            XXsum = sum;
        
    }
	
	cout << XXsum << endl;
	
	return 0;
}