HW2 - CSCI-561 Homework 2 Spring 2010 Macskassy Due Student...

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CSCI-561 Spring 2010 Macskassy Homework 2 Due February 22, 2010 Student name: _____________________________ Student ID: _________________ Question 1 [Adversarial Search, Chapter 6] (20 points): Consider the following two-player game: A B 1 2 3 4 The starting position of a simple game. Player A moves first. The two players take turns moving, and each player must move his token to an open adjacent space in either direction . If the opponent occupies an adjacent space, then a player may jump over the opponent to the next open space if any. (For example, if A is on 3 and B is on 2, then A may move back to 1.) The game ends when one player reaches the opposite end of the board. If player A reaches space 4 first, then the value of the game to A is +1; if player B reaches space 1 first, then the value of the game to A is -1. 1(a) [5 points] Draw the complete game tree, using the following conventions: Write each state a ( S A , S B ) where S A and S B denote the token locations (e.g., (1,4) is the starting state) Put each terminal state in a square box and write its game value in a circle.
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