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.BufferedReader;
import java.io.PrintWriter;

import java.io.InputStreamReader;

import java.io.IOException;

import java.util.StringTokenizer;

public class Main {
    
    static Scanner in = new Scanner();
    static PrintWriter out = new PrintWriter(System.out);
    
    public static void main(String[] args) throws IOException {
        int l[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31},
            m = in.nextInt(), t = 1,
            d = in.nextInt()+l[m]-8;
        t += d / 7 + (d % 7 == 0 ? 0 : 1);
        out.print(t);
        out.close();
    }
    
    static class Scanner {
        BufferedReader br;
        StringTokenizer st;
        
        public Scanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
            st = new StringTokenizer("");
        }
        
        public String next() throws IOException {
            if(!st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }
        
        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
    }
}