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 jud(int);
int main(){
  int a,num[9999],i,count=0;

  scanf("%d",&a);
  for(i = 0; i < a;i++){
    scanf("%d",&num[i]);
  }
  for(i = 0;i < a;i++){
    count += jud(num[i]);
  }
  printf("%d\n",count);
  return 0;
}

int jud(int num){
  int i;
  if(num == 2)return 1;
  if(num % 2 == 0)return 0;

  for(i = 3;i <= num /i; i+=2){
    if(num % i == 0)return 0;
  }
    return 1;
}