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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

// inputに入力データ全体が入る
function Main(input) {
//    input = input.split(' ');
    //文字列から10進数に変換するときはparseIntを使います
    var n = parseInt(input, 10);
    var ans = 0;
    
    var nine_loop = true;
    var six_loop = true;
    var nine_check = false;
    var six_check = false;
    var nine_count = 9;
    var six_count = 6;
    while ( nine_loop ) {
        var nine_tmp = n - nine_count;
        if (nine_tmp < 0) {
            if (nine_count != 9) {
                nine_count /= 9;
                nine_tmp = n - nine_count;
                nine_count = 9;
                six_check = false;
            } else {
                nine_tmp = n;
                nine_check = true;
            }
            six_loop = true;
            while ( six_loop ) {
                var six_tmp = n - six_count;
                if (six_tmp < 0) {
                    if (six_count != 6) {
                        six_count /= 6;
                        six_tmp = n - six_count;
                        six_count = 6;
                        nine_check = false;
                    } else {
                        six_tmp = n;
                        six_check = true;
                    }
                    if (nine_tmp < six_tmp) {
                        n = nine_tmp;
                    } else {
                        n = six_tmp;
                    }
                    six_loop = false;
                } else {
                    six_count *= 6;
                }
            }
            if (nine_check && six_check) {
                nine_loop = false;
            } else {
                ans++;
            }
        } else {
            nine_count *= 9;
        }
    }
    
    ans += n;
    console.log(ans);
}
//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));