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,i,N,n,count=0;
  scanf("%d\n",&N);
  A=(int *)malloc(N*sizeof(int));
  for(i=0;i<N;i++){
    scanf("%d",&A[i]);
  }
 for(i=0;i<N;i++){
    for(n=1;n<A[i];n++){
      if(n==1)continue;
      if(n==A[i]-1&&A[i]%n!=0)count++;
      else if(A[i]%n==0)break;
    }
  }
  printf("%d\n",count+1);
  return 0;
}