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.
var m, d, out;

m=readline().split(' ') 
d=parseInt(m[1])
m=parseInt(m[0])

out=(d==7)?6:5;

switch (m){
    case 2: out=(d==1)?4:5; break;
    case 1: out=(d==6)?6:out; break;
    case 3: out=(d==6)?6:out; break;
    case 5: out=(d==6)?6:out; break;
    case 7: out=(d==6)?6:out; break;
    case 8: out=(d==6)?6:out; break;
    case 10: out=(d==6)?6:out; break; 
    case 12: out=(d==6)?6:out; break;     
}

print (out)