#include <iostream>
using namespace std;
const int maxn = 1000000;
int dp[maxn];
bool ar[maxn];
int main()
{
	for(int i = 2;i<=maxn;i++)
	{
		if(!ar[i])
		{
			for(int j = 2;j*i<maxn;j++)
				ar[i*j] = true;
		}
		dp[i] = dp[i-1] + !ar[i];
	}
	for(int n;cin >> n;)
		cout << dp[n] <<endl;
	return 0;
}
### 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;
const int maxn = 1000000;
int dp[maxn];
bool ar[maxn];
int main()
{
	for(int i = 2;i<=maxn;i++)
	{
		if(!ar[i])
		{
			for(int j = 2;j*i<maxn;j++)
				ar[i*j] = true;
		}
		dp[i] = dp[i-1] + !ar[i];
	}
	for(int n;cin >> n;)
		cout << dp[n] <<endl;
	return 0;
}
```