Question 162
In a table $n \times n$ two players fill the lines one by one with numbers "+1" and "1". At first the first player fills the first line. Then second player -- second line, then first player fills third line. Then second -- forth line etc. In the end of filling lines, first player gets 1 point for every line or column, in which product of numbers is positive, in another way, this point gets another player. Each of them try to collect points as much as possible. In a melting way of game, how much points each of them can collect?