HW3 - 2 The n-Queens problem is to position n queens on an...

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Fall Semester 2008 CS300 Algorithms Homework #3 (due 10/17) 1. Consider a game tree in which there are six marbles, and player 1 and 2 take turns picking from one to three marbles. The player who takes the last marble loses the game. (a) Draw the complete game tree for this game. (b) If the game tree were searched using the alpha-beta pruning technique, and nodes representing conﬁgurations with the smallest number of marbles are searched ﬁrst, which nodes are pruned? Draw the pruned game tree.
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Unformatted text preview: 2. The n-Queens problem is to position n queens on an n × n chessboard so that no two queens threaten each other. That is, no two queens may be in the same row, column, or diagonal. When n = 4, ﬁnd all conﬁgurations satisfying this goal with backtracking technique. 3. If our local transformations consist of 2-opts only, are there any locally optimal tours in Figure 1 that are not globally optimal? Figure 1: An instance of TSP 1...
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