Petr wants to make a calendar for current month. For this purpose he draws a table in which columns correspond to weeks (a week is seven consequent days from Monday to Sunday), rows correspond to weekdays, and cells contain dates. For example, a calendar for January 2017 should look like on the picture:

<image>

Petr wants to know how many columns his table should have given the month and the weekday of the first date of that month? Assume that the year is non-leap.

Input

The only line contain two integers m and d (1 ≤ m ≤ 12, 1 ≤ d ≤ 7) — the number of month (January is the first month, December is the twelfth) and the weekday of the first date of this month (1 is Monday, 7 is Sunday).

Output

Print single integer: the number of columns the table should have.

Examples

Input

1 7


Output

6


Input

1 1


Output

5


Input

11 6


Output

5

Note

The first example corresponds to the January 2017 shown on the picture in the statements.

In the second example 1-st January is Monday, so the whole month fits into 5 columns.

In the third example 1-st November is Saturday and 5 columns is enough.
import java.io.*;
import java.util.*;

public class Main {

  void solve() {
    int n = in.nextInt();
    int startDay = in.nextInt();

    int days = 0;
    if (n == 2) {
      days = 28;
    }
    else if (n <= 7){
      if (n%2 == 0) days = 30;
      else days = 31;
    }
    else if (n > 7){
      if (n%2 == 0) days = 31;
      else days = 30;
    }

    int cols = 1;
    days -= 7 - startDay + 1;
    cols += days / 7;
    days = days % 7;
    if (days>0) cols++;

    out.println(cols);

  }

  PrintWriter out;
  InputReader in;

  void runIO() throws IOException {
    String fileName = "prepare";
    out = new PrintWriter(System.out);
    in = new InputReader(System.in);

    solve();

    out.close();
  }

  public static void main(String[] args) throws IOException {
    new Main().runIO();
  }

  class InputReader {

    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
      reader = new BufferedReader(new InputStreamReader(stream), 32768);
      tokenizer = null;
    }

    public String next() {
      while (tokenizer == null || !tokenizer.hasMoreTokens()) {
        try {
          tokenizer = new StringTokenizer(reader.readLine());
        } catch (IOException e) {
          throw new RuntimeException(e);
        }
      }
      return tokenizer.nextToken();
    }

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

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

  }
}

