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.util.StringTokenizer;

public class Main {
    static BufferedReader newInput() throws IOException {
        return new BufferedReader(new InputStreamReader(System.in));
    }
    static PrintWriter newOutput() throws IOException {
        return new PrintWriter(System.out);
    }
    public static void main(String[] args) throws IOException {
        BufferedReader in = newInput();
        PrintWriter out = newOutput();
        function(in, out);
        out.flush();
    }
    public static void function(BufferedReader in, PrintWriter out) throws IOException {
        String[] data = in.readLine().split(" ");
        int m = Integer.parseInt(data[0]);
        int d = Integer.parseInt(data[1]);
        if (m == 1){
            d += 31;
        } else if (m == 2){
            d += 28;
        } else if (m == 3){
            d += 31;
        } else if (m == 4){
            d += 30;
        } else if (m == 5){
            d += 31;
        } else if (m == 6){
            d += 30;
        } else if (m == 7){
            d += 31;
        } else if (m == 8){
            d += 31;
        } else if (m == 9){
            d += 30;
        } else if (m == 10){
            d += 31;
        } else if (m == 11){
            d += 30;
        } else if (m == 12){
            d += 31;
        }
        out.println((d+5)/7);
    }
}