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.

/**
 *
 * @author muditsaxena
 */
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class columnCalendar_cf {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) throws IOException {
        
        
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] input = br.readLine().split(" ");
        
        int month = Integer.parseInt(input[0]);
        int day = Integer.parseInt(input[1]);
        
        int daysInFirst = 7 - day + 1;
        int dayRemaining = numberOfDays(month) - daysInFirst;
        int columnMid = dayRemaining/7;
        int remainingNumber = dayRemaining%7;
        
        int total = remainingNumber != 0 ? 1+columnMid+1 : 1+columnMid;
        
        System.out.println(total);
        
        
    }
    
    
    public static int numberOfDays(int monthCode){
    
        int numberOfDays = -1;
        
        switch(monthCode){
            
            case 1:
                numberOfDays = 31;
                break;
            case 2:
                numberOfDays = 28;
                break;
            case 3:
                numberOfDays = 31;
                break;
            case 4:
                numberOfDays = 30;
                break;
            case 5:
                numberOfDays = 31;
                break;
            case 6:
                numberOfDays = 30;
                break;
            case 7:
                numberOfDays = 31;
                break;
            case 8:
                numberOfDays = 31;
                break;
            case 9:
                numberOfDays = 30;
                break;
            case 10:
                numberOfDays = 31;
                break;
            case 11:
                numberOfDays = 30;
                break;
            case 12:
                numberOfDays = 31;
                break;
           
    }
        
        return numberOfDays;
    }
    
}
