#include<iostream>
using namespace std;
int main(){
  bool num[1000000] = {false};
  for(int i=2; i<1000; i++){
    if(!num[i]) for(int j=i*i; j<1000000; j+=i) num[j] = true;
  }
  int n;
  while(cin >>n){
    int ans = 0;
    for(int i=2; i<=n; i++) if(!num[i]) ans++;
    cout <<ans<<endl;
  }
  return 0;
}
### 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(){
  bool num[1000000] = {false};
  for(int i=2; i<1000; i++){
    if(!num[i]) for(int j=i*i; j<1000000; j+=i) num[j] = true;
  }
  int n;
  while(cin >>n){
    int ans = 0;
    for(int i=2; i<=n; i++) if(!num[i]) ans++;
    cout <<ans<<endl;
  }
  return 0;
}
```