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 i,j,n,prime[10000],count=0,flag;
  scanf("%d",&n);
  
  for(i=0;i<n;i++){
    scanf("%d",&prime[i]);
  }
  
  for(i=0;i<n;i++){
    flag=0;
    if(prime[i]==2){
      count++;
      continue;
    }
    if(prime[i]%2==0){
      flag=1;
      continue;
    }
    if(prime[i]>4){
      for(j=3;j<prime[i];j+=2){
	if(prime[i]%j==0){
	  flag=1;
	  break;
	}
      }
    }
    if(flag==0){
      count++;
    }
  }
  
  printf("%d\n",count);
  return 0;
}