The Battle Royale Game X90735

Input

The input will be: * The size of the map given as maximum rows and columns (only squares are valid 3x3,4x4,5x5 etc). * The match time in minutes in which we want to evaluate the number of players remaining. * Several positions on the map, representing the player’s position at the beginning of the match. (T=0 min) The process should stop reading player’s position when the program finds the character ’#’.

    4 4 15 1 2 3 3 #    

In this example the first line describes that this is a 4x4 map. The second line refers to 15 minutes from the start of the match. The third line provides the position of a player on row 1 and column 2. At the fourth line another player position is set on row 3 and column 3. Finally the character ’#’ marks stop reading input file.

Output

The output will be the number of players that remain in the match at that specific point in time.