Trie Problems
Here are additional classic trie problems to practice.
1. Longest Common Prefix
Given an array of strings, find the longest common prefix. This can be solved with a trie by traversing until a node with more than one child or end-of-word appears. However, simpler solution exists, but trie is good for multiple queries.
2. Word Break Problem
Given a string and a dictionary of words, determine if the string can be segmented into dictionary words. A trie can speed up checking prefixes. DP + trie yields efficient solution.
3. Replace Words (Prefix Replacement)
Given a sentence and a dictionary of roots, replace each word with the shortest root that is a prefix. Build a trie of roots, then for each word, find the shortest prefix that is a root.
4. Design a data structure that supports adding words and searching for words with wildcard '.'
Use trie, and during search, if '.' is encountered, recursively search all children.
These problems demonstrate the versatility of tries in string processing.
Two Minute Drill
- Longest common prefix: trie can find the branching point.
- Word break: DP + trie for prefix checking.
- Replace words: store roots in trie, replace with shortest root.
- Wildcard search: DFS on trie for '.' characters.
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