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>
#include <math.h>

#define MAX 10000

int main(void){

  int A[MAX];
  int i,j;
  int count=0;
  int flag;
  int n=0;
  
  scanf("%d",&count);
  for(i=0;i<count;i++)
    scanf("%d",&A[i]);
  
  for(i=0;i<count;i++){
    flag=0;
    for(j=1;j<=A[i];j++){
      if(A[i] % j == 0)
	flag++;
      if(flag==3)
	break;
    }
    if(flag==2)
      n++;
  }
  printf("%d\n",n);

  return 0;

}