Question 97
Some of the squares of an $n \times n$ table are mined. In each square the number of the mined squares amongst this square and its neighbors (i.e. those which have common side or vertex with it) is written. Is it always possible to determine which squares are mined if:
a) $n = 2000$;
b) $n = 2007$?
a) $n = 2000$;
b) $n = 2007$?