BaumalgorithmenIntermediate
Trie (Prafix-Baum)
Baumbasierte Datenstruktur, die Strings effizient speichert, indem gemeinsame Prafixe geteilt werden. Jeder Pfad von der Wurzel zum Blatt reprasentiert ein Wort oder einen Schlussel. Hervorragend bei Autovervollstandigung, Rechtschreibprufung, IP-Routing-Tabellen und Worterbuch-Implementierungen mit O(m)-Operationen, wobei m die Schlussellange ist.
#tree#string-algorithms#prefix-matching#autocomplete
Complexity Analysis
Time (Average)
O(m)Expected case performance
Space
O(ALPHABET_SIZE × N × M)Memory requirements
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O(m)Best case performance
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O(m)Worst case performance
How it works
- • Each character is a node in the tree
- • Words share common prefixes
- • End-of-word markers for complete words
- • O(m) insert and search time
- • Perfect for autocomplete systems
Step: 1 / 0
500ms
SlowFast
Keyboard Shortcuts
Space Play/Pause← → StepR Reset1-4 Speed
Real-time Statistics
Algorithm Performance Metrics
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Algorithm Visualization
Step 1 of 0
Initialize array to begin
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