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Consider a game tree where Max plays first at node . Node ha...

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Consider a game tree where Max plays first at node .

Node

has children .

Node

has children .

Node

has children .

The leaf nodes have the following static evaluation values:

, , , .

Task:

1. Compute the Minimax value at the Root

.

2. Assume we use Alpha-Beta Pruning and explore the nodes in left-to-right order (

). Which nodes (if any) are pruned (not examined)? Explain precisely why the cut-off occurs using the values of and .

3. If we re-ordered the children of

to explore before , would the number of pruned nodes change? Explain why.

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