bonanova Posted July 29, 2010 Report Share Posted July 29, 2010 Standard tictactoe is a draw if both sides play optimally. In wildcard tictactoe, each side may play either X or O, whichever is to his advantage. The first to complete a row of three like symbols wins. In this variant, best play does not lead to a draw. So, which side is sure to win? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2010 Report Share Posted July 29, 2010 When you say they can win if they complete a row, do you mean that they can't win if they complete a vertical column or a diagonal? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted July 29, 2010 Author Report Share Posted July 29, 2010 Good point; it's stated ambiguously. It's the normal case of "three in a row" where the direction can be horizontal, vertical or diagonal. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2010 Report Share Posted July 29, 2010 (edited) Player one always wins. He starts with an X in the middle. This forces Player 2 to put an O somewhere. Then Player 1 puts an O opposite the place Player 2 did until he can win. Following this sequence leads to these two unwinnable situations where it's player 2's turn to go: | |O ----- |X| ----- O| | |O| ----- O|X|O ----- |O| Edited July 29, 2010 by Tuckleton Quote Link to comment Share on other sites More sharing options...
Question
bonanova
Standard tictactoe is a draw if both sides play optimally.
In wildcard tictactoe, each side may play either X or O,
whichever is to his advantage. The first to complete a
row of three like symbols wins. In this variant, best play
does not lead to a draw.
So, which side is sure to win?
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