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;

public class Main{

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner scan = new Scanner(System.in);
		String input = scan.nextLine();
		int m = 1;
		int d = 1;
		for (int i = 0; i < input.length(); i++) {
			if (input.length() == 4) {
				m = 10*Integer.parseInt(""+input.charAt(0))+Integer.parseInt(""+input.charAt(1));
				d = Integer.parseInt("" + input.charAt(3));
			} else {
				m = Integer.parseInt(""+input.charAt(0));
				d = Integer.parseInt("" + input.charAt(2));
			}
		}
		int numDays = 1;
        switch (m) {
            case 1:  numDays = 31;
                     break;
            case 2:  numDays = 28;
                     break;
            case 3:  numDays = 31;
                     break;
            case 4:  numDays = 30;
                     break;
            case 5:  numDays = 31;
                     break;
            case 6:  numDays = 30;
                     break;
            case 7:  numDays = 31;
                     break;
            case 8:  numDays = 31;
                     break;
            case 9:  numDays = 30;
                     break;
            case 10: numDays = 31;
                     break;
            case 11: numDays = 30;
                     break;
            case 12: numDays = 31;
                     break;
        }
        int j = numDays % 7;
        int numCols = 1;
        if (d == 1 && numDays == 28) {
        	numCols = 4;
        } else if (d <= (8-j)) {
        	numCols = 5;
        } else {
        	numCols = 6;
        }
        System.out.println(numCols);
	}

}
	 	  		 	 		  		    		   					