#include <cstdio>
int d[1000000],c[1000000];
int main() {
	int i,j,r=0,n;
	for(i=2;i<=999999;i++) {
		if(d[i]){c[i]=r;continue;}
		c[i]=++r;
		for(j=i*2;j<=999999;j+=i)d[j]=1;
	}
	while(scanf("%d",&n)!=EOF) {
		printf("%d\n",c[n]);
	}
}
### Prompt

Please create a solution in CPP 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>
int d[1000000],c[1000000];
int main() {
	int i,j,r=0,n;
	for(i=2;i<=999999;i++) {
		if(d[i]){c[i]=r;continue;}
		c[i]=++r;
		for(j=i*2;j<=999999;j+=i)d[j]=1;
	}
	while(scanf("%d",&n)!=EOF) {
		printf("%d\n",c[n]);
	}
}
```