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 num = 0;
int *data;
int i = 0;
int k = 1;
int ans = 0;
int count = 0;
int finalans = 0;

while(1){
  scanf("%d",&num);
  if(1 <= num && num <=10000){
    break;
  }
}

data = (int *)malloc(sizeof(int)*num);

for(i = 0;i < num;i++){
  scanf("%d",&data[i]);
  if(2 > data[i] || data[i] > 100000000){
    break;
  }
  for(k = 1;k <= data[i];k++){
    ans = data[i] % k;
  if(ans == 0){
    count++;
  }
}
if(count == 2){
  finalans++;
  count = 0;
}
else{
  count = 0;
}
}

printf("%d\n",finalans);
return 0;
}