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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