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 Rust (1.15.1) (judge verdict: Accepted)

    #![allow(unused_imports)]
    #![allow(dead_code)]
    use std::io::prelude::*;
    use std::cmp::{max, min};
    use std::collections::BinaryHeap;

    const MOD: i64 = 1e9 as i64 + 7; 

    fn main(){
        let n: isize = read();
        let mut ans: isize = 1 << 30;
        for i in 0..n+1{
            let mut c: isize = 0;
            let mut x: isize = i;
            while x > 0{
                c += x % 6;
                x /= 6;
            }
            x = n - i;
            while x > 0{
                c += x % 9;
                x /= 9;
            }
            ans = min(ans, c);
        }
        println!("{}", ans);
    }

    fn read<T>() -> T
    where
        T: std::str::FromStr,
    {
        let stdin = std::io::stdin();
        let token: String = stdin
            .lock()
            .bytes()
            .map(|c| c.unwrap() as char)
            .skip_while(|c| c.is_whitespace())
            .take_while(|c| !c.is_whitespace())
            .collect();
        token.parse().ok().unwrap()
    }