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>

main()
{
  int a[10000];
  int i, j, length, count = 0, flag = 0;

  scanf("%d", &length);

  for(i = 0; i < length; i++)
    {
      scanf("%d", &a[i]);
    }

  for(i = 0; i < length; i++)
    {
      for(j = 2; j < a[i]; j++)
	{
	  if(a[i] % j == 0)
	    {
	      flag = 1;
	      break;
	    }
	}

      if(flag == 0)
	{
	  count++;
	}
      flag = 0;
    }
  printf("%d\n", count);
  return 0;
}