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 petrCalendar {

	public static void main(String[] args)
	
	{
	
		Scanner s =new Scanner(System.in);
		//System.out.println("Enter the month");
		int m=s.nextInt();
	  //System.out.println("enter the weekday");
		int d=s.nextInt();
		
		if(m<8)
		{
			if(m%2== 0 && m!=2)
			{
				checkdate30(d);
			}
			else if(m%2==0 && m==2)
			{
				checkfebdate(d);
			}
			else
			{
				checkdate31(d);
			}
		}
		else if(m>7 && m<=12)
		{
			if(m%2==0)
			{
				checkdate31(d);
			}
					
			
			else
			{
				checkdate30(d);
			}
		}
		//System.out.println("din");
	}

	private static void checkfebdate(int d) {
		// TODO Auto-generated method stub
		
		if(d==1)
		{
			System.out.println("4");
		}
		else
		{
			System.out.println("5");
		}
		
	}

	private static void checkdate31(int d) {
		// TODO Auto-generated method stub
		
		if(d>=6 && d<=7)
		{
		System.out.println("6");
		
		}
		else if(d<6)
		{
			System.out.println("5");
		}
	}

	private static void checkdate30(int d) {
		// TODO Auto-generated method stub
		if(d==7)
		{
			System.out.println("6");
		}
		else if(d<7 && d>0)
		{
			System.out.println("5");
		}
			
	}
	
}
