A10867. Petr and a calendar

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:

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.

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).

Print single integer: the number of columns the table should have.

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.