A10414. The Same Calendar

The girl Taylor has a beautiful calendar for the year $y$ . In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.

The calendar is so beautiful that she wants to know what is the next year after $y$ when the calendar will be exactly the same. Help Taylor to find that year.

Note that leap years has $366$ days. The year is leap if it is divisible by $400$ or it is divisible by $4$ , but not by $100$ ([https://en.wikipedia.org/wiki/Leap\_year](https://en.wikipedia.org/wiki/Leap_year)).

The only line contains integer $y$ ( $1000<=y<100'000$ ) — the year of the calendar.

Print the only integer $y'$ — the next year after $y$ when the calendar will be the same. Note that you should find the first year after $y$ with the same calendar.

Today is Monday, the $13$ th of June, $2016$ .