#include<iostream>
using namespace std;

long long int a[1000000];

int main(){

  long long int n;

  for(long long int i=2;i*i<1000000;i++){

    if(a[i]==0){
      for(long long int j=i+i;j<1000000;j+=i) a[j]=1;
    }
  }

  while(cin >> n){

    long long int count=0;

    for(long long int i=2;i<=n;i++){
      if(a[i]==0) count++;
    }

    cout << count << endl;

  }
}
### Prompt

Please formulate a Cpp solution 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<iostream>
using namespace std;

long long int a[1000000];

int main(){

  long long int n;

  for(long long int i=2;i*i<1000000;i++){

    if(a[i]==0){
      for(long long int j=i+i;j<1000000;j+=i) a[j]=1;
    }
  }

  while(cin >> n){

    long long int count=0;

    for(long long int i=2;i<=n;i++){
      if(a[i]==0) count++;
    }

    cout << count << endl;

  }
}
```