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(void){
int N;
int n,i,j;
int S=0,c=0;
while(1){
scanf("%d",&n);
if(n>=1 && n<=10000)break;
}
for(i=0 ; i<n ; i++){
  while(1){
  scanf("%d",&N);
  if(N>=2 && N<=100000000)break;
  }
  if(N==2){S++; continue;}
  if(N%2==0)continue;
  for(j=3 ; j<N ; j+=2){
    if(N%j==0){c=1; break;}
  }
  if(c==0){
  S++;
  }
  c=0;
}
printf("%d\n",S);
return 0;
}