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) For this week’s homework, you are to 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?
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) For this week’s homework, you are to 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?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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) For this week’s homework, you are to 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?
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