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: Wrong Answer)


#include <stdio.h>

int main(int argc, const char * argv[]) {
    
    int N = 0;
    int b = 6;//6
    int c = 9;//9
    int num = 0;
    int resultB = 0;
    int resultC = 0;
    int count = 0;
    
    scanf("%d",&N);
    
    while(N != 0){
        num = c;//9
        while (num <= N) {//9の一個超える前を扱う
            resultC  = num;
            num = num * c;//81
        }
        num = b;//6
        while (num <= N) {//6の一個超える前を扱う
            resultB  = num;
            num = num * b;//36
        }
        
        if (N < 6) {
            count = count + N;
//            printf("1個目%d\n",N);
            N = N - N;
            break;
        }
//        printf("resultC = %d resultB = %d\n",resultC,resultB);
        if (resultC >= resultB && resultC <= N) {
//            printf("２個目%d - %d\n",N,resultC);
            N = N - resultC;
            count = count + 1;
        }else{
//            printf("３個目%d - %d\n",N,resultB);
            N = N - resultB;
            count = count + 1;
        }
    }
    
    printf("%d\n",count);
    return 0;
}