6. Two players take turns placing crosses and noughts in the cells of a $9 \times 9$ square (the first player places crosses, and the opponent places noughts). At the end, the number of rows and columns where there are more crosses than noughts is counted - these are the points scored by the first player. The number of rows and columns where there are more noughts - the points scored by the second player. How can the first player win (score more points)?

## 6th grade
87.6. Hint. The first one needs to use central symmetry. The maximum guaranteed number of his points is 10, i.e., he can guarantee to win two points over the second one.