#include<iostream>

using namespace std;

int isPrime(int n) {
  for(int i=2;i*i<=n;i++){
    if(n%i==0) return 0;
  }
  return 1;
}

int main() {
  int a;
  int b[1000000];
  for(int i=2;i<=1000000;i++){
    if(isPrime(i)) b[i]=b[i-1]+1;
    else b[i]=b[i-1];
  }
  while(cin>>a){
    cout << b[a] << 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 isPrime(int n) {
  for(int i=2;i*i<=n;i++){
    if(n%i==0) return 0;
  }
  return 1;
}

int main() {
  int a;
  int b[1000000];
  for(int i=2;i<=1000000;i++){
    if(isPrime(i)) b[i]=b[i-1]+1;
    else b[i]=b[i-1];
  }
  while(cin>>a){
    cout << b[a] << endl;
  }
  return 0;
}


```