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.*;

/**
 * Created by russel on 12/17/16.
 */
public class TestClass {
    public static void main(String[] args){
        // Create a Scanner object to read input from stdin.
        Scanner scan = new Scanner(System.in);

        int m = scan.nextInt();
        int d = scan.nextInt();

        int monthday = 30;
        if(m == 1){
            monthday = 31;
        }else if(m == 2){
            monthday = 28;
        }else if(m == 3){
            monthday = 31;
        }else if(m == 4){
            monthday = 30;
        }else if(m == 5){
            monthday = 31;
        }else if(m == 6){
            monthday = 30;
        }else if(m == 7){
            monthday = 31;
        }else if(m == 8){
            monthday = 31;
        }else if(m == 9){
            monthday = 30;
        }else if(m == 10){
            monthday = 31;
        }else if(m == 11){
        monthday = 30;
        }else if(m == 12){
            monthday = 31;
        }else{
            monthday = 30;
        }
        int minusday = 0;
        if(d == 7){
            minusday = 1;
        }else if(d == 6){
            minusday = 2;
        }else if(d == 5){
            minusday = 3;
        }else if(d == 4){
            minusday = 4;
        }else if(d == 3){
            minusday = 5;
        }else if(d == 2){
            minusday = 6;
        }else if(d == 1){
            minusday = 7;
        }else{
            minusday = 0;
        }

        int afterMinus = monthday - minusday;
        int columnCount = 0;

        if(afterMinus % 7 == 0){
            columnCount = afterMinus/7;
        }else{
            columnCount = afterMinus/7 + 1;
        }
        System.out.println(columnCount + 1);


    }

}