Given is a number sequence A of length N.

Find the number of integers i \left(1 \leq i \leq N\right) with the following property:

* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.

Constraints

* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6

Input

Input is given from Standard Input in the following format:


N
A_1 A_2 \cdots A_N


Output

Print the answer.

Examples

Input

5
24 11 8 3 16


Output

3


Input

4
5 5 5 5


Output

0


Input

10
33 18 45 28 8 19 89 86 2 4


Output

5
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.StringTokenizer;

public class Main {

  private static PrintWriter out;

  public static void main(String[] args) {
    Main main = new Main();
    Runtime.getRuntime().addShutdownHook(new Thread(() -> out.close()));
    try {
      main.run(args);
    } catch (Exception e) {
      e.printStackTrace();
    }
  }

  private void run(String[] arguments) throws Exception {
    MyScanner sc = new MyScanner();
    out = new PrintWriter(new BufferedOutputStream(System.out));

    int n = sc.nextInt();
    //ArrayList<Integer> list = new ArrayList<>();

    HashMap<Integer, Integer> map = new HashMap<>();

    for (int i = 0; i < n; i++) {
      int a = sc.nextInt();
      if (map.containsKey(a)) {
        int counter = map.get(a) + 1;
        map.put(a, counter);
      } else {
        map.put(a, 1);
      }
    }

    List<Integer> list = new ArrayList<>(map.keySet());

    int MAX_A = (int) Math.pow(10, 6);
    int[] checks = new int[MAX_A + 1];
    int ans = 0;

    for (Integer num : list) {
      for (int i = num; i <= MAX_A; i += num) {
        checks[i]++;
      }
    }

    for (Integer number : list) {
      if (checks[number] == 1 && map.get(number) == 1) {
        ans++;
      }
    }

    out.println(ans);
    out.close();

  }

  /*
   * Form: http://codeforces.com/blog/entry/7018
   */
  private class MyScanner {

    BufferedReader br;
    StringTokenizer st;

    MyScanner() {
      br = new BufferedReader(new InputStreamReader(System.in));
    }

    String next() {
      while (st == null || !st.hasMoreElements()) {
        try {
          st = new StringTokenizer(br.readLine());
        } catch (IOException e) {
          e.printStackTrace();
        }
      }
      return st.nextToken();
    }

    int nextInt() {
      return Integer.parseInt(next());
    }

    long nextLong() {
      return Long.parseLong(next());
    }

    double nextDouble() {
      return Double.parseDouble(next());
    }

    String nextLine() {
      String str = "";
      try {
        str = br.readLine();
      } catch (IOException e) {
        e.printStackTrace();
      }
      return str;
    }
  }
}
