Problem:
Prime Numbers

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.

Write a program which reads a list of N integers and prints the number of prime numbers in the list.

Input

The first line contains an integer N, the number of elements in the list.

N numbers are given in the following lines.

Output

Print the number of prime numbers in the given list.

Constraints

1 ≤ N ≤ 10000

2 ≤ an element of the list ≤ 108

Sample Input 1

5
2
3
4
5
6

Sample Output 1

3

Sample Input 2

11
7
8
9
10
11
12
13
14
15
16
17

Sample Output 2

4

Solution in C++ (judge verdict: Runtime Error)

#include<iostream>
using namespace std;

void MakePrimeArray(bool A[],int n){
	A[0] = A[1] = false;
	for(int i=2;i<n;i++){
		A[i] = true;
	}

	for(int	i=2;i*i<n;i++){
		if(A[i]){
			for(int j=i*i;j<n;j+=i){
				A[j] = false;
			}
		}
	}
}

long int n=10000000;

bool *primearray = new bool[n];

int main(){

	MakePrimeArray(primearray,n);

	int num;
  cin >> num;
  int input=0;
  int solve=0;
	for(int i=0;i<num;i++){
    cin >> input;
    if(primearray[input]){
      solve++;
    }
  }
	cout << solve << endl;
	return 0;
}