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.math.*;
import java.util.*;

public class Main
{
	 public static void main(String[] args) throws IOException {
		Scanner in = new Scanner(System.in);     
        int m = in.nextInt();
        int d = in.nextInt();
        int numberDays;
         switch (m) {
            case 1:
            case 3:
            case 5:
            case 7:
            case 8:
            case 10:
            case 12:
            	numberDays = 31;
                     break;
            case 4:
            case 6:
            case 9:
            case 11:
            	numberDays = 30;
            	break;
            case 2:
            	numberDays = 28;
            	break;
            default: numberDays = 0;
                     break;
         }
         int numberColumns;
         int a = 8 - d;
         numberColumns = (numberDays - a) / 7 + 1;
         if ((numberDays - a) % 7 != 0)
         	numberColumns++;
         System.out.println(numberColumns);
		
	}
}