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 (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>
#include <math.h>
int count9(int x){
    int r = 0, s;
    r += s = x/pow(9, 5);
    x -= s*pow(9, 5);
    r += s = x/pow(9, 4);
    x -= s*pow(9, 4);
    r += s = x/pow(9, 3);
    x -= s*pow(9, 3);
    r += s = x/pow(9, 2);
    x -= s*pow(9, 2);
    r += x/pow(9, 1);
    return r;
}
int count6(int x){
    int r = 0, s;
    r += s = x/pow(6, 6);
    x -= s*pow(6, 6);
    r += s = x/pow(6, 5);
    x -= s*pow(6, 5);
    r += s = x/pow(6, 4);
    x -= s*pow(6, 4);
    r += s = x/pow(6, 3);
    x -= s*pow(6, 3);
    r += s = x/pow(6, 2);
    x -= s*pow(6, 2);
    r += x/pow(6, 1);
    return r;
}

int main(void)
{
    int n, c=100000;
    scanf("%d",&n);
    
    for(int i=n/9;i>=0;i--){
        int n_ = n - 9*i;
        int c9 = count9(i*9);
        if(c9 > c)continue;
        
        for(int j=n_/6;j>=0;j--){
            int c6 = count6(j*6);
            int t = c9+c6 + n_ - j*6;
            if(t > c)continue;
            c = t;
        }
    }
    printf("%d\n", c);
    return 0;
}