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 i=0,hantei_sosu=0,count=0,n,*sosu,j;
    
    scanf("%d",&n);
    
    sosu = (int *)malloc(n * sizeof (int));
    
   
    
    for(i=0;i<n;i++){
        scanf("%d",&sosu[i]);
        for(j=1;j<=sosu[i];j++){
            if(sosu[i] % j == 0) hantei_sosu++; 
        }
        if(hantei_sosu == 2) count++;
        hantei_sosu = 0;
       
    }
    
    printf("%d\n",count);
    return 0;
}