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.io.*;
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;
import java.util.Scanner;
public class cale 
{
	public static void main(String[] args) throws IOException
	{
		int n;
		int d;
		Scanner sc=new Scanner(System.in);
		n=sc.nextInt();
		d=sc.nextInt();
		int k=1;
		int y=d;
		if(n==1 || n==3 || n==5 || n==7 || n==8 || n==10 || n==12)
		{
           /*for(int i=1;i<=31;i++)
           {
             if(y<7)
             {
             	y++;
             }
             else
             {
             	y=1;
             	k++;
             }
           }*/
           int h=31-7+d-1;
           int g=h/7;
           int j=h%7;
           if(j==0)
           {
           	k=g+1;
           }
           else
           {
           	k=g+2;
           }
		}
		else if(n==4 || n==6 || n==9 || n==11)
		{
			/*for(int i=1;i<=30;i++)
			{
               if(y<7)
               {
               	y++;
               }
               else
               {
               	 y=1;
               	 k++;
               }
			}*/

           int h=30-7+d-1;
           int g=h/7;
           int j=h%7;
           if(j==0)
           {
           	k=g+1;
           }
           else
           {
           	k=g+2;
           }
		}
		else
		{
			/*for(int i=1;i<=28;i++)
			{
				if(y<7)
				{
					y++;
				}
				else
				{
					y=1;
					k++;
				}
			}*/

           int h=28-7+d-1;
           int g=h/7;
           int j=h%7;
           if(j==0)
           {
           	k=g+1;
           }
           else
           {
           	k=g+2;
           }
		}
		System.out.println(k);
	}
}