Problem D
Booking a Room

Photo by Igor523 via Wikimedia Commons, cc by-sa

In this problem, you should write a program to search for available rooms in a given hotel. The hotel has $r$ rooms, numbered from $1$ to $r$, and you will be given a list describing which of these rooms are already booked.

Input

The input consists of:

• one line with two integers $r$ and $n$ ($1\leq r \leq 100$, $0 \leq n \le r$), the number of rooms in the hotel and the number of rooms that are already booked, respectively;

• $n$ lines, each with an integer between $1$ and $r$ (inclusive), a room number that is already booked;

All $n$ room numbers of the already booked rooms are distinct.

Output

If there are available rooms, output the room number of any such room. Otherwise, output “too late”.

100 5
42
3
2
99
1

23

3 3
2
3
1

too late