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.
/*
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 * and open the template in the editor.
 */
import java.util.Scanner;

/**
 *
 * @author tunde
 */
public class PetrAndACalendar760A {

    public static void main(String[] args) {
        // September, April, June and November
        // Feburary - 28
        Scanner sc = new Scanner(System.in);
        int month = sc.nextInt();
        int weekDay = sc.nextInt();
        int noOfDays = 31;
        if (month == 4 || month == 6 || month == 9 || month == 11) {
            noOfDays = 30;
        } else if (month == 2) {
            noOfDays = 28; // Ignoring a leap year
        }
        int noOfWeeks = 4;
        switch (noOfDays) {
            case 31:
                if (weekDay > 5) {
                    noOfWeeks = 6;
                } else {
                    noOfWeeks = 5;
                }   break;
            case 30:
                if (weekDay > 6) {
                    noOfWeeks = 6;
                } else {
                    noOfWeeks = 5;
                }   break;
            case 28:
                if (weekDay > 1) {
                    noOfWeeks = 5;
                } 
            default:
                break;
        }
        System.out.println(noOfWeeks);

    }
}
