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.*;
public class Solution{
       public static void main(String args[])
       {
             Scanner sc = new Scanner(System.in);
	       int m = sc.nextInt();
	       int d = sc.nextInt();
	       int arr[] = {31,28,31,30,31,30,31,31,30,31,30,31};
	       int matrix[][] = new int[7][6];
	      int count = 0;
	       for(int i = d-1;i<7;i++)
	       {
	              matrix[i][0] = 1;
	              count++;
	       }
	      // System.out.println(arr[m-1]);
	       for(int i=1;i<6;i++)
	       {
	             
       	      for(int j=0;j<7;j++)
       	      {
       	              if(count!=arr[m-1])
       	               {
              	              matrix[j][i] = 1;
              	              count ++;
       	               }
       	               else
       	                     break;
       	      }
	       }
	       
	      // System.out.println(count);
	      // for(int i=0;i<7;i++)
	      // {
	      //        for(int j=0;j<6;j++)
	      //        {
	      //               System.out.print(matrix[i][j] + " ");
	                     
	      //        }
	      //         System.out.println("");
	      // }
	       
	       int col = 6;
	       for(int i =1;i<6;i++)
	       {
	              if(matrix[0][i] == 0)
	              {
	                     col--;
	              }
	       }
	       System.out.print(col);
       }
}