#include <iostream>
using namespace std;
int main()
{
	int n;
	while(cin >> n)
	{
		bool* num=new bool[n+1];
		num[0]=num[1]=true; for(int i=2;i<=n;i++) num[i]=false;
		int ans=0;
		for(int i=2;i<n;i++)
		{
			if(num[i]==false)
			{
				for(int j=i*2;j<=n;j+=i) num[j]=true;
			}
		}
		for(int j=2;j<=n;j++) if(num[j]==false) ans++;
		cout << ans << '\n' ;
		delete[] num;
	}
}
### Prompt

Create a solution in cpp for 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)
	{
		bool* num=new bool[n+1];
		num[0]=num[1]=true; for(int i=2;i<=n;i++) num[i]=false;
		int ans=0;
		for(int i=2;i<n;i++)
		{
			if(num[i]==false)
			{
				for(int j=i*2;j<=n;j+=i) num[j]=true;
			}
		}
		for(int j=2;j<=n;j++) if(num[j]==false) ans++;
		cout << ans << '\n' ;
		delete[] num;
	}
}
```