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.*;
import java.io.*;
public class petr {
   public static void main(String[] args) {
      Scanner sc = new Scanner(System.in);
      StringTokenizer str = new StringTokenizer(sc.nextLine());
      int month = Integer.parseInt(str.nextToken());
      int day = Integer.parseInt(str.nextToken());
      
      if(month == 1 || month == 3 || month == 5 || month == 7 || month == 8 || month == 10 || month == 12)
      {
         if(day >= 6){
            System.out.println("6");
            System.exit(0);
         }
         else {
            System.out.println("5");
            System.exit(0);
         }
      }
      else if(month != 2){
         if(day > 6){
            System.out.println("6");
            System.exit(0);
         }
         else {
            System.out.println("5");
            System.exit(0);
         }
      }
      else {
         if(day == 1){
            System.out.println("4");
            System.exit(0);
         }
         else {
            System.out.println("5");
            System.exit(0);
         }
      }
   }
}