There are only $O$ s on the board.

Logic Level 3

$\begin{array}{|l|c|r|}\hline O & O & O \\ \hline O & O & O \\ \hline O& O & O \\ \hline \end{array}$

There are 9 $O$ s on the board.
Two players take turns to play.
Each player needs to choose a row or column(no diagonals) and take away 1 to 3 of the $O$ s in that row or column.
The player who takes away the last $O$ on the board wins.

Assume that the two players play optimally,then who will definitely win?

The one who goes first. The one who goes second.

1 solution

Leafy Li
Jun 20, 2018

If the first player moves a side column, then player two can take the centre row. Then, no matter what player 1 does, player two can remove the last O. Try it!. If player one removes a centre column, player two can again take the centre row, leaving player one in a lost position.

There are only O O O s on the board.

1 solution

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There are only $O$ s on the board.