#include<cstdio>
#include<cstring>
int main(){
	int a,b,d;
	while(~scanf("%d",&a)){
		int c[a+1];
		memset(c,0,sizeof(c));
		d=0;
		for(b=2;b<=a;b++){
			if(c[b]==0){
				d++;
				for(int i=b;i<a+1;i+=b)	c[i]=1;
			}
		}
		printf("%d\n",d);
	}
}
### 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<cstdio>
#include<cstring>
int main(){
	int a,b,d;
	while(~scanf("%d",&a)){
		int c[a+1];
		memset(c,0,sizeof(c));
		d=0;
		for(b=2;b<=a;b++){
			if(c[b]==0){
				d++;
				for(int i=b;i<a+1;i+=b)	c[i]=1;
			}
		}
		printf("%d\n",d);
	}
}
```