#include<bits/stdc++.h>
using namespace std;
int main()
{
    int n,co=0;
    double he=0;
    while(cin>>n){
        he=sqrt(n);
        int ser[n+1];
        for(int i=2;i<=n;i++)ser[i]=1;
        for(int i=2;i<=he;i++)if(ser[i]==1)for(int j=2;j*i<=n;j++)ser[i*j]=0;
        for(int i=2;i<=n;i++)if(ser[i]==1)co++;
        cout<<co<<endl;
        co=0;
    }
}
### Prompt

Please create a solution in Cpp to the following problem:

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<bits/stdc++.h>
using namespace std;
int main()
{
    int n,co=0;
    double he=0;
    while(cin>>n){
        he=sqrt(n);
        int ser[n+1];
        for(int i=2;i<=n;i++)ser[i]=1;
        for(int i=2;i<=he;i++)if(ser[i]==1)for(int j=2;j*i<=n;j++)ser[i*j]=0;
        for(int i=2;i<=n;i++)if(ser[i]==1)co++;
        cout<<co<<endl;
        co=0;
    }
}
```