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.util.Scanner;

/**
 * Created by Lucas on 22/01/2017.
 */
public class Try {

    public static void main(String[] args) {
        Calendar goPlease = new Calendar();

        goPlease.gogo();
    }



    static class Calendar {

        public void gogo(){
            int firstDay = 0, month = 0;
            Scanner input = new Scanner(System.in);

            month = input.nextInt();

            if(input.hasNext()) {
                firstDay = input.nextInt();
            }
            Calendar firstTry = new Calendar();
            firstTry.setRows();
            firstTry.setColumns(firstDay,month);
            System.out.println(firstTry.getColumns());
        }

        int rows;
        int columns;
        public int getRows() {
            return rows;
        }

        public void setRows() {
            this.rows = 7;
        }

        public int getColumns() {
            return columns;
        }

        public void setColumns(int firstDay, int month) {
            switch (month) {
                case 1:
                case 3:
                case 5:
                case 7:
                case 8:
                case 10:
                case 12://31 DAYS
                    //System.out.println("31 DAYS");
                    if (firstDay > 5)
                        this.columns = 6;
                    else
                        this.columns = 5;
                    break;
                case 4:
                case 6:
                case 9:
                case 11://30 DAYS

                    //System.out.println("30 DAYS");
                    if (firstDay > 6)
                        this.columns = 6;
                    else
                        this.columns = 5;
                    break;
                case 2://28 DAYS
                    //System.out.println("28 DAYS");
                    if (firstDay > 1)
                        this.columns = 5;
                    else
                        this.columns = 4;
                    break;
                default:
                    System.out.println("Invalid month.");
                    break;

            }
        }


    }

}
