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