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>

#define N 10000

int isPrime(int x){
  int i;
  if(x <= 1)
    return 0;

  for(i=2; i<x; i++){
    if(x%i==0)
      return 0;
  }
  return 1;
}

int main() {

  int flag, n, i, c;
  int num[N];

  scanf("%d", &n);

  for(i=0; i<n; i++){
    scanf("%d", &num[i]);
    flag = isPrime(num[i]);
    if(flag == 1)
     c++;
  }

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

  return 0;
}