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>
int main(){
  
  int n,i,j,cnt,a[10000];
  cnt=0;
  
  scanf("%d",&n);
  for(i=0;i<n;i++) scanf("%d",&a[i]);

  for(i=0;i<n;i++){
    
    if(a[i] == 2) cnt++;
    
    if(a[i] > 2){
      for(j=2;j<=a[i];j++){
	if(j == a[i]){cnt++; break;} 
	if(a[i] % j == 0) break;
      }
    }
  }
  printf("%d\n",cnt);
}