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Tries and patricia tries are two popular data structures for storing strings. Let Hn denote the height of the trie (the patricia trie, respectively) on a set of n strings. Under the uniform distribution model on the strings, it is well known that Hn/logn→2 for tries and Hn/logn→1 for patricia tries, when n approaches infinity. Nevertheless, in the worst case, the height of a trie can be unbounded...
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