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 n, d, i, j;
   int c = 0;
   int x[10000], y[10000];

   scanf("%d", &n);

   x[0] = 2;
   for (j = 1; j <= n - 1; j++) {
      x[j] = x[j - 1] + 1;
   }

   for (i = 0; i <= n; i++) {
	 scanf("%d", &x[i]);
      for(d = 1; d <= x[i]; d++) {
         if (x[i] % d == 0) {
            y[i]++;
         }
      }
      if (y[i] == 2) {
         c++;
      }
   }

   printf ("%d\n", c);

   return 0;
}