A \(9\times9\) Grid of Pieces

Logic Level 3

Dan and Sam play a game on a \(9\times9\) grid, on which each one chooses and puts, in his turn, a single piece like these:

The pieces must not overlap and can't be partially outside of the grid.

The game finishes when someone can't put a piece on the board in his turn following the rules (who is the loser). If Dan begins, who will win? This means, who has a winning strategy?

This is the eleventh problem of the set Winning Strategies.

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