#include<iostream>
using namespace std;

int main() {
	static bool cmp[1000000] = { true };
	static int npr[1000000];
	for (int i = 2; i<1000000; i++) {
		if (!cmp[i]) {
			for (int j = 2; j*i<1000000; j++) {
				cmp[i*j] = true;
			}
		}
		npr[i] = npr[i - 1] + !cmp[i];
	}
	int n;
	while (cin >> n) {
		cout << npr[n] << endl;
	}
	return 0;
}
### Prompt

Generate 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() {
	static bool cmp[1000000] = { true };
	static int npr[1000000];
	for (int i = 2; i<1000000; i++) {
		if (!cmp[i]) {
			for (int j = 2; j*i<1000000; j++) {
				cmp[i*j] = true;
			}
		}
		npr[i] = npr[i - 1] + !cmp[i];
	}
	int n;
	while (cin >> n) {
		cout << npr[n] << endl;
	}
	return 0;
}
```