Player A begins by placing a checker on the lower left-hand corner of a checkerboard (8 by 8 squares). Player B places a checker one square to the right or one square up or one square diagonally up and to the right of Player A’s checker. Then A places a checker one square to the right or one square up or one square diagonally up and to the right of Player B. The players continue alternating moves in this way. The winner is the player who places a checker in the upper right corner. Would you rather be Player A or Player B? A) find a winning strategy and express that winning strategy in a way that is easy to understand.
Player A begins by placing a checker on the lower left-hand corner of a
checkerboard (8 by 8 squares). Player B places a checker one square to
the right or one square up or one square diagonally up and to the right
of Player A’s checker. Then A places a checker one square to the right
or one square up or one square diagonally up and to the right of Player
B. The players continue alternating moves in this way. The winner is the
player who places a checker in the upper right corner. Would you
rather be Player A or Player B?
A) find a winning strategy and
express that winning strategy in a way that is easy to understand.
B) Now generalize the board to any sized rectangle (mxn). What is
your winning strategy now?
Please explain + show work.
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