You will play a game, where you place “0” and your friend places “1” on a 7x7 chess board. You will start the game and both of you will place numbers on the empty squares alternatively. When the entire board is full, sums of the numbers on each row and column are noted. Among the 14 sums, you will get a point for each odd sum and your friend will get a point for each even sum.
If both you and your friend play perfectly, what is the maximum points you can get?
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