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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

const maxn=trunc(1e5);
      max=trunc(1e9);
var f:array[0..maxn+10] of longint;
    n:longint;

function min(x,y:longint):longint;
begin
	if x>y then min:=y
	else min:=x;
end;

procedure dp;
var power,i:longint;
begin
	f[0]:=0;
	for i:=1 to 100000 do
	  begin
	    f[i]:=max;
	    power:=1;
	    while power<=i do
	      begin
	        f[i]:=min(f[i],f[i-power]+1);
	        power:=power*6;
	      end;
	    power:=1;
	    while power<=i do
	      begin
	        f[i]:=min(f[i],f[i-power]+1);
	        power:=power*9;
	      end;
	  end;
end;

begin
	readln(N);
	dp;
	write(f[n]);
end.