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.IOException;
import java.io.InputStreamReader;

public class A {

	public static void main(String[] args) throws IOException{
		// TODO Auto-generated method stub
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] input = br.readLine().split(" ");
		int month = Integer.parseInt(input[0]);
		int weekDay = Integer.parseInt(input[1]);
		if (month == 1 || month == 3 || month == 5 || month == 7|| month == 8 || month == 10 || month == 12) {
			if (weekDay > 5) {
				System.out.print(6);
			} else {
				System.out.print(5);
			}
		} else if (month == 2){
			if (weekDay > 1)  {
				System.out.print(5);
			} else {
				System.out.print(4);
			}
		} else {
			if (weekDay > 6) {
				System.out.print(6);
			} else {
				System.out.print(5);
			}
		}
	}

}
