Run alpha$-$beta pruning on the following game tree. Assume that you

explore tree from left to right.

a$)$ Which nodes should be pruned? $($Write the node values in the order

of pruning$)$

b$)$ What's the Beta value for min$1?$

c$)$ What's the Beta value for min$2?$

d$)$ What's the Beta value for min$3?$

e$)$ What's the alpha value for max$1?$