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 aa
{
  private static String getString(Scanner scanner)
  {
    String s = scanner.nextLine();
    if (0 == s.length())
      s = scanner.nextLine();
    return s;
  }

  public static void main(String[] args)
  {
    try {
      StringBuilder sb = new StringBuilder();
      Scanner scanner = new Scanner(System.in);
      
      int i=0, j=0, m = scanner.nextInt(), d = scanner.nextInt();
      int[] days = new int[20];
      days[1] = 31;
      days[2] = 28;
      days[3] = 31;
      days[4] = 30;
      days[5] = 31;
      days[6] = 30;
      days[7] = 31;
      days[8] = 31;
      days[9] = 30;
      days[10] = 31;
      days[11] = 30;
      days[12] = 31;
      int dc = days[m];
      d = 8-d;
      for(i=0; i< 500; i++)
    {
        if (dc <= 0)
          break;
        
        if (0 == i)
        {
          dc -= d;
        }
        else
        {
          dc -= 7;
        }
        ++j;   
      }

      sb.append(j);
      
      System.out.print(sb.toString());
    }catch(Exception ex){
        ex.printStackTrace();      
    }
  }
}