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.
//package codeforces;

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.HashMap;
import java.util.Map;

/**
 * Created by Anuj on 1/23/2017.
 */
public class PetrAndACalendar {

    public Map<Integer, Integer> monthMap;

    public PetrAndACalendar() {
        monthMap = new HashMap<>();
        monthMap.put(1, 31);
        monthMap.put(2, 28);
        monthMap.put(3, 31);
        monthMap.put(4, 30);
        monthMap.put(5, 31);
        monthMap.put(6, 30);
        monthMap.put(7, 31);
        monthMap.put(8, 31);
        monthMap.put(9, 30);
        monthMap.put(10, 31);
        monthMap.put(11, 30);
        monthMap.put(12, 31);
    }

    public static void main(String[] args) throws Exception {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] line = br.readLine().split(" ");
        int month = Integer.valueOf(line[0]);
        int day = Integer.valueOf(line[1]);
        PetrAndACalendar pc = new PetrAndACalendar();
        int days = pc.monthMap.get(month);
        int rows = 1;
        int daysLeft = days - (7 - day) - 1;
        rows += daysLeft / 7;
        if (daysLeft % 7 != 0) {
            rows++;
        }
        System.out.println(rows);
    }
}
