Raising Bacteria CodeForces - 579A

You are a lover of bacteria. You want to raise some bacteria in a box.

Initially, the box is empty. Each morning, you can put any number of bacteria into the box. And each night, every bacterium in the box will split into two bacteria. You hope to see exactlyx bacteria in the box at some moment.

What is the minimum number of bacteria you need to put into the box across those days?

Input

The only line containing one integer x (1 ≤ x ≤ 10⁹).

Output

The only line containing one integer: the answer.

Example

Input

5

Output

2

Input

8

Output

1

Note

For the first sample, we can add one bacterium in the box in the first day morning and at the third morning there will be4 bacteria in the box. Now we put one more resulting5 in the box. We added2 bacteria in the process so the answer is2.

For the second sample, we can put one in the first morning and in the 4-th morning there will be8 in the box. So the answer is1.

此题看似不是很简单，但是可以想到，已知细菌时2的指数增长，就像位运算，2的n次方也就像是二进制的形式，就像8就是1转化为二进制为1000，5就是101与题目的描述一个意思差不多

#include <iostream>#include <cstdio>#include <cstring>#include <cmath>using namespace std;int main(){    int n,cou;    while(~scanf("%d",&n))    {        cou=0;        while(n)        {            if(n%2==1)            {                cou++;            }            n/=2;        }        printf("%d\n",cou);    }    return 0;}