# Asst3 - CSE 305 Spring 2011 Assignment#3 Game Trees and...

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CSE 305 Spring 2011 Assignment #3: Game Trees and Minimax Assigned: March 21 Due April 3 (11:59 pm) The context for this assignment is a two-player game, such as chess, where one of the two players is the computer and the other is the user. When it is the computer‟s turn to make a move, it would construct a data structure known as a gametree in order to decide the best move to make. Each node of a gametree records some state of the game. The levels of a gametree alternate between states in which it is the computer ‟s turn to make a move and those in which it is the user‟s turn. Each leaf node records the state of the game after a finite sequence of moves have been made. The branching factor of a gametree is not fixed, and could vary from one node to another because the number of moves that one could make could vary from one state to another. Assume that each leaf node can be mapped to a number indicating how “strong” the computer would be in that state. Then, the gametree is analyzed recursively as follows: At the root node, the computer chooses the next state (child node) that maximizes its strength; and, for each such next state, it assumes

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