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: Wrong Answer)

#include<stdio.h>
#include<math.h>

int main(){
    int n, i, k, count;
    float sqr;
    int input_list[10000];
    
    scanf("%d", &n);
    
    for(i = 0; i < n; i++){
        scanf("%d", &input_list[i]);
    }
    
    count = 0;
    for(i = 0; i < n; i++){
        sqr = sqrt(input_list[i]);
        for(k = 2; k < sqr; k++){
            if(input_list[i] % k == 0){
                break;
            }
        }
        if(k > (int)sqr){
            count++;
        }
    }
    printf("%d\n", count);
    
    return 0;
}