X and Y play the following game on a 100 x 100 grid. In turn, they place pieces which in X's case are in the shape of a 2x2 square and in Y's case are in the shape of the letter L formed by three small squares glued together. The small squares forming these two shapes are of course the same size as the squares in the grid. Whoever can no longer find room for their piece on the grid loses the game. (a) Will anyone have a winning strategy if X is the first to place his piece? (b) Will anyone have a winning strategy if Y is the first to post his piece?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Milanbhai
X and Y play the following game on a 100 x 100 grid. In turn, they place pieces which in X's case are in the shape of a 2x2
square and in Y's case are in the shape of the letter L formed by three small squares glued together. The small squares
forming these two shapes are of course the same size as the squares in the grid. Whoever can no longer find room for
their piece on the grid loses the game. (a) Will anyone have a winning strategy if X is the first to place his piece? (b) Will
anyone have a winning strategy if Y is the first to post his piece?
Transcribed Image Text:X and Y play the following game on a 100 x 100 grid. In turn, they place pieces which in X's case are in the shape of a 2x2 square and in Y's case are in the shape of the letter L formed by three small squares glued together. The small squares forming these two shapes are of course the same size as the squares in the grid. Whoever can no longer find room for their piece on the grid loses the game. (a) Will anyone have a winning strategy if X is the first to place his piece? (b) Will anyone have a winning strategy if Y is the first to post his piece?
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