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General principles of pruning:
The general principles are such that:
1. Given a node N that can be chosen by player one, thus if there is another node, X, along any path, like that (a) X can be chosen by player two (b) X is on a higher level than N and (c) X has been shown to guarantee a worse score for player one than N, after then all the nodes with the same parent as N can be pruned.
2. Given a node N that can be chosen by player two, after then if there is a node X along any path just like that (a) player one can choose X (b) X is on a higher level so than N and (c) X has been shown to guarantee a better score for player one than N, after then all the nodes with the equal parent as N can be pruned.
As an exercise: in which one of these principles did we need in the M1 - M4 pruning example above? (For this type of puzzle to make it easy, I've written on the N's and X's).
1. Insert the following characters with their respective priorities (shown as ordered pairs) into an empty treap: (K, 17), (F, 22), (P, 29), (M, 10), (N, 15), (L, 26), (G, 13),
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