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 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include <iostream>
#include<math.h>
using namespace std;
int main(void){
    // Your code here!
    int n;
    std::cin >> n;
    int result = 0;
    while(n != 0){
        if(n >= pow(9,5)){
            result++;
            n = n - pow(9,5);
        } else if(n >= pow(6,6)){
            result++;
            n = n - pow(6,6);
        } else if(n >= pow(6,5)){
            result++;
            n = n - pow(6,5);
        } else if(n >= pow(9,4)){
            result++;
            n = n - pow(9,4);
        } else if(n >= 1458 && n < 2025){
            result++;
            n = n - pow(9,3);
        } else if(n >= pow(6,4)){
            result++;
            n = n - pow(6,4);
        } else if(n >= 864 && n < 945){
            result++;
            n = n - pow(6,3);
        } else if(n >= pow(9,3)){
            result++;
            n = n - pow(9,3);
        } else if(n >= 243 && n < 297){
            result++;
            n = n - 81;
        } else if(n >= pow(6,3)){
            result++;
            n = n - pow(6,3);
        } else if(n >= 108 && n < 117){
            result++;
            n = n - 36;
        } else if(n >= 81){
            result++;
            n = n - 81;
        } else if(n >= 36){
            result++;
            n = n - 36;
        } else if(n >= 12 && n < 15){
            result++;
            n = n - 6;
        } else if(n >= 9){
            result++;
            n = n - 9;
        } else if(n >= 6){
            result++;
            n = n - 6;
        } else {
            result++;
            n = n - 1;
        }
    }
    std::cout << result << std::endl;
}