B"Petya's been bored at work and he is killing the time by watching the parking lot at the office. The parking lot looks from above like an n xe2 x80 x89 xc3 x97 xe2 x80 x89m table (a cell of the table corresponds to a single parking spot). Some spots in the parking lot are taken, others are empty. Petya watches cars riding into the parking lot one by one. After a car settles down at the parking spot, Petya amuzes himself by counting what maximum square of empty spots (i.e. a square subtable) can be seen on the parking lot if we look at it from above. Also, he takes notes of the square's size (side length) in his notebook. You task is: given the state of the parking lot at the initial moment of time and the information about where the arriving cars park, restore what Petya wrote in his notebook. It is midday, so nobody leaves the lot. The first line contains three integers n, m and k -- the sizes of the parking lot and the number of arriving cars after Petya started his watch (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n, xe2 x80 x89m, xe2 x80 x89k xe2 x80 x89 xe2 x89 xa4 xe2 x80 x892000). Each of the following n lines contains m characters 'X' and '.', where 'X' means a taken spot and '.' means an empty spot. Each of the next k lines contains a pair of integers xi, yi -- the number of row and column of the spot the corresponding car takes (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89xi xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n, 1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89yi xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89m). It is guaranteed that this place was empty. You can assume that a car enters a parking lot only after the previous car successfully finds a spot. Print k integers -- the length of the side of the maximum square of empty spots after the corresponding car has entered the parking lot."...