#include<iostream>
using namespace std;
int main(){
  int n;
  while(cin >> n){
    int ans=0,math[1001000]={0};
    math[1]=1;
    for(int i=2;i<n+1;i++){
      int bell=i;
      if(math[i]==0){
	ans++;
	math[i]=1;
      }
      while(bell+i<=n){
	bell+=i;
	if(math[bell]==0){
	  math[bell]=1;
	}
      }
    }
    cout << ans << endl;
  }
}
### Prompt

Your challenge is to write 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;
int main(){
  int n;
  while(cin >> n){
    int ans=0,math[1001000]={0};
    math[1]=1;
    for(int i=2;i<n+1;i++){
      int bell=i;
      if(math[i]==0){
	ans++;
	math[i]=1;
      }
      while(bell+i<=n){
	bell+=i;
	if(math[bell]==0){
	  math[bell]=1;
	}
      }
    }
    cout << ans << endl;
  }
}
```