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<stdlib.h>
int main() {
  int a[10000];
    int n,i,q,j,t,p=0,u=0,o=0;
  scanf("%d",&n);
  if(n<1 || 10000<n) exit(0);
  for(i=0;i<n;i++) {
    scanf("%d",&q);
    a[i]=q;
    if(q<2 || 100000000<q) exit(0);

    p=1;
    if(a[i]!=2 && a[i]%2==0) continue;
    for(j=3;j<q;j++) {
    t=a[i]%j;
    if(q!=2 && t==0) {p=0; break;}
    }
    if(p==1)
    o++;
  }
    printf("%d\n",o);
    return 0;
  }