#include <iostream>

using namespace std;
int ns[1000000];
int main()
{
    int n;
    while(cin>>n)
    {
        fill(ns,ns+1000000,true);
        ns[1]=false;
        int cnt=0;
        for(int i=2;i<=n;++i){
            if(ns[i])cnt++;
            for(int j=0;j*i<=n;++j){
                ns[i*j]=false;
            }
        }
        cout<<cnt<<endl;
    }
    return 0;
}
### Prompt

Develop a solution in CPP to the problem described below:

Write a program which reads an integer n and prints the number of prime numbers which are less than or equal to n. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.



Input

Input consists of several datasets. Each dataset has an integer n (1 ≤ n ≤ 999,999) in a line.

The number of datasets is less than or equal to 30.

Output

For each dataset, prints the number of prime numbers.

Example

Input

10
3
11


Output

4
2
5

### Response

```cpp
#include <iostream>

using namespace std;
int ns[1000000];
int main()
{
    int n;
    while(cin>>n)
    {
        fill(ns,ns+1000000,true);
        ns[1]=false;
        int cnt=0;
        for(int i=2;i<=n;++i){
            if(ns[i])cnt++;
            for(int j=0;j*i<=n;++j){
                ns[i*j]=false;
            }
        }
        cout<<cnt<<endl;
    }
    return 0;
}
```