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: Time Limit Exceeded)

#include <stdio.h>

int main() {
  int a[100000] = {};
  int b[100000] = {};
  int k = 0;
  int n;
  int count = 0;
  scanf("%d", &n);
  for(int i = 0; i < n; i++) {
    scanf("%d", &a[i]);
  }

  for(int i = 0; i < n; i++) {
    for(int j = 1; j <= a[i]; j++)
      if(a[i] % j == 0) count++;
    if(count == 2) {
      b[k] = a[i];
      k++;
    }
    count = 0;
  }

  printf("%d\n", k);
}