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(5) The game Very Polite Binary Biscuits TM is played just like Binary Biscuits, except the player to eat the last biscuit loses. For

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(5) The game Very Polite Binary Biscuits TM is played just like Binary Biscuits, except the player to eat the last biscuit loses. For which n does the first player have a winning strategy? Prove your answer is correct. (6) Trinary Triscuits TM is just like Binary Biscuits TM, (played with triscuits instead of biscuits) except that on their turn, a player must eat exactly 3m triscuits for some non-negative integer m. If the players start with n biscuits, for which n does the first player have a winning strategy? Describe the winning strategy and prove your answer is correct.

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5 Very Polite Binary Biscuits TM Game Description The game is played similarly to Binary Biscuits but the player who eats the last biscuit loses Objective Determine for which numbers of biscuits n the ... blur-text-image
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