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 main(void){

  int a[N],b[N],i,j,k,l=0,n,m;

  scanf("%d",&n);

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

  for(j=0; j<n; j++){
    m=0;
    for(k=1; k<=a[j]; k++){
      if(a[j]%k==0) m++;
    }
    if(m==2) l++; 
  }
    printf("%d\n",l);

  return 0;
}