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 catch(int x){
    int count = 0;
    int i;
    for(i = 2; i < x; i++){
        if(x % i == 0){
            count = 1;
            break;
        }
    }
    if(count == 1){
        return 0;
    }else{
        return 1;
    }
}

int main(void){
    int n, i;
    int x;
    int ans = 0;
    char order[100];
    
    fgets(order, 100, stdin);
    sscanf(order, "%d", &n);
    
    
    for(i = 0; i < n; i++){
        fgets(order, 100, stdin);
        sscanf(order, "%d", &x);
        ans += catch(x);
    }
    printf("%d\n", ans);
    return 0;
}