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7 Consider the following algebraic exp expressicon x+3)2-4 (a) Construct a binary tree that represents that...
Answer the following Nim game style questions.
(Robert's Game) In this game, two players take turns removing stones from a pile that begins with n stones. The player who takes the last stone wins. A player removes either one stone or p stones, where p is a prime dividing the number of stones in the pile at the start of the turn For which n does the First Player have a winning strategy? A winning strategy for the First Player...
Consider a variant of the Nim game called "Stones". Suppose that initially there is a single pile of 5 stones and two players, I and II. Each player takes turns picking up either 1 or 2 stones from the pile. Player I moves first, then Player II, then Player I, etc. until all stones have been picked up 3. Assuming that the loser is the player who picks up the last stone, write the game of Stones out in extensive...