#include <iostream>
using namespace std;
const int MAX = 1000000;

int main(){
	bool b[MAX] = {true};
	static int a[MAX] = {0,0};
	int n;
	for(int i = 2;i < MAX;i++){
		if(!b[i]){
			for(int j = 2;i*j < MAX;j++){
				b[i*j] = true;
			}
		}
		a[i] = a[i-1] + !b[i];
	}
	while(cin >> n){
		cout << a[n] << 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;
const int MAX = 1000000;

int main(){
	bool b[MAX] = {true};
	static int a[MAX] = {0,0};
	int n;
	for(int i = 2;i < MAX;i++){
		if(!b[i]){
			for(int j = 2;i*j < MAX;j++){
				b[i*j] = true;
			}
		}
		a[i] = a[i-1] + !b[i];
	}
	while(cin >> n){
		cout << a[n] << endl;
	}
	return 0;
}
```