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.awt.Point;
import java.util.Collections;
import java.util.Scanner;
import java.util.Vector;

public class MainTest{
	public MainTest() {
		Vector<Integer> Month = new Vector<Integer>();
		Month.add(0);
		for(int i=1;i<=7;i++){
			if(i%2==0)
				Month.add(30);
			else 
				Month.add(31);
		}
		Month.set(2,28);
		for(int i=8;i<=12;i++)
			if(i%2==1)
				Month.add(30);
			else 
				Month.add(31);
		Scanner sc = new Scanner(System.in);
		int m,n ;
		m = sc.nextInt();
		n = sc.nextInt();
		int s = 1 ;
		int input = 0;
		while(s+7-n<Month.get(m)){
			input++;
			s+=7;
		}
		System.out.println(input+1);
 	}
	
	public static void main(String...strings){
		new MainTest();
	}
}