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 i,j,num;
  int judge=1;
  int count=0;

  scanf("%d",&num);
  int A[num];

  for(i=0; i<num; i++){
      scanf("%d",&A[i]);
    }

  for(i=0; i<num; i++){
    judge = 0;
    //printf("\n");
    if(A[i]==2) {
      judge=0;
    }

    else if(A[i]%2==0) judge=1;

    else if(A[i]%2!=0){
      for(j=3; j<A[i]; j+=2){
        if(A[i]%j==0){
        judge = 1;
        break;
        }
      }
    }

    if(judge==0) count++;


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