# 1. Consider three-dimensional tic-tac-toe. Discuss representational issues; analyze the complexity..

1. Consider three-dimensional tic-tac-toe. Discuss
representational issues; analyze the complexity of the state space. Propose a
heuristic for playing this game.

2. Perform alpha-beta pruning on the tic-tac-toe
search of Figures 4.23, 4.24, and 4.25. How many leaf nodes can be eliminated
in each case?

3. a. Create an algorithm for heuristically
searching and/or graphs. Note that all descendants of an and node
must be solved to solve the parent. Thus, in computing heuristic estimates of
costs to a goal, the estimate of the cost to solve an and node
must be at least the sum of the estimates

1. Consider three-dimensional tic-tac-toe. Discuss
representational issues; analyze the complexity of the state space. Propose a
heuristic for playing this game.

2. Perform alpha-beta pruning on the tic-tac-toe
search of Figures 4.23, 4.24, and 4.25. How many leaf nodes can be eliminated
in each case?

3. a. Create an algorithm for heuristically
searching and/or graphs. Note that all descendants of an and node
must be solved to solve the parent. Thus, in computing heuristic estimates of
costs to a goal, the estimate of the cost to solve an and node
must be at least the sum of the estimates to solve the different branches.

b. Use this algorithm to search the
graph in Figure 4.31.

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