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;
import java.util.HashSet;
import java.util.Scanner;

public class A {
    public A() throws IOException {
        Scanner sc = new Scanner(new BufferedReader(new InputStreamReader(System.in)));

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

        int col1 = 7-d+1;
        int numDays;

        if( m==1 || m==3 ||m==5 ||m==7 ||m==8 ||m==10 ||m== 12)
            numDays = 31;
        else if(m==4 ||m==6 ||m==9 ||m==11)
            numDays = 30;
        else
            numDays = 28;

        int remainDays = numDays - col1;

        int numCols = remainDays / 7;
        numCols++;

        if(remainDays%7 !=0)
            numCols++;

        System.out.println(numCols);


    }



    public static void main(String[] args) throws IOException {
        new A();
        //System.out.println(A.findMostSigBit(13));
    }
}