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[100000],count[100000],k,s,i,j;

for(i=0;i<100000;i++){
 count[i] = 0;
}


k=0;

scanf("%d\n",&s);

for(i=0;i<s;i++){
 scanf("%d\n",&n[i]);
}


for(i=0;i<s;i++){
 for(j=1;j<=n[i];j++){
   if(n[i]%j == 0){
    count[i] = count[i]+1;
    }
   }
 if(count[i]==2){
  k=k+1;
   }
}

printf("%d\n",k);

return 0;
}