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 Test {

	public static int numOfDays(int month){

		switch (month) {
		
			case 1: return 31;
			case 2: return 28;
			case 3: return 31;
			case 4: return 30;
			case 5: return 31;
			case 6: return 30;
			case 7: return 31;
			case 8: return 31;
			case 9: return 30;
			case 10: return 31;
			case 11: return 30;
			case 12: return 31;

		}
		
		return -1;
		
	}
	
	public static int numOfCloumns(int month , int weekday){
		
		int neededCols = 1;
		int nDays = numOfDays(month);
		
		nDays -= (8-weekday);
		
		neededCols += (nDays/7);
		
		if(nDays % 7 > 0)
			neededCols++;
		
		return neededCols;
		
	}
	
	public static void main(String[] args) throws IOException {
		
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		
		String [] inputs = (br.readLine()).split(" ");
		
		int m = Integer.parseInt(inputs[0]) , d = Integer.parseInt(inputs[1]);
		
		System.out.println(numOfCloumns(m, d));
		
	}
	
}
