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.*;

/**
 * Created by user on 1/22/17.
 */
public class PetrAndaCalendar {


    private static int[] mjeseci = new int[13];

    public static void main(String[] args) {
        InputStream paths = PetrAndaCalendar.class.getResourceAsStream("petr_and_a_calendar");
        //try (BufferedReader bufferedReader = new BufferedReader(new InputStreamReader(paths))) {
            try (BufferedReader bufferedReader = new BufferedReader(new InputStreamReader(System.in))) {


            mjeseci[1] = 31;
            mjeseci[2] = 28;
            mjeseci[3] = 31;
            mjeseci[4] = 30;
            mjeseci[5] = 31;
            mjeseci[6] = 30;
            mjeseci[7] = 31;
            mjeseci[8] = 31;
            mjeseci[9] = 30;
            mjeseci[10] = 31;
            mjeseci[11] = 30;
            mjeseci[12] = 31;

            String[] data = bufferedReader.readLine().split(" ");
            //mjesec za koji trazim dane
            int mjesec = Integer.parseInt(data[0]);
            //pocetni dan u to mjesecu 1-7
            int pocetniDan = Integer.parseInt(data[1]);

            int ukupnoDana = mjeseci[mjesec];


            //ako je pocetni dan sedmi, znaci da u tom stupcu ima 8-7 tj 1. element
            //ostane jos 4*7 elemenata

            int brojStupaca = 1; //za pocetni dan
            ukupnoDana = ukupnoDana - (8 - pocetniDan);
            for (int i = ukupnoDana; ukupnoDana > 6; ukupnoDana -= 7) {
                brojStupaca++;
            }
            if (ukupnoDana != 0) {
                brojStupaca++;
            }

            //Koliko kolona treba imat tablica da bi prikazala sve dane
            System.out.print(brojStupaca);


        } catch (FileNotFoundException e) {
            e.printStackTrace();
        } catch (IOException e) {
            e.printStackTrace();
        }
    }

}
