Solved! Leetcode 208. Implement Trie (Prefix Tree)


Implement Trie (Prefix Tree)

A trie (pronounced as “try”) or prefix tree is a tree data structure used to efficiently store and retrieve keys in a dataset of strings. There are various applications of this data structure, such as autocomplete and spellchecker.

Implement the Trie class:

  • Trie() Initializes the trie object.
  • void insert(String word) Inserts the string word into the trie.
  • boolean search(String word) Returns true if the string word is in the trie (i.e., was inserted before), and false otherwise.
  • boolean startsWith(String prefix) Returns true if there is a previously inserted string word that has the prefix prefix, and false otherwise.

Example 1:
[“Trie”, “insert”, “search”, “search”, “startsWith”, “insert”, “search”]
[[], [“apple”], [“apple”], [“app”], [“app”], [“app”], [“app”]]
[null, null, true, false, true, null, true]

Trie trie = new Trie();
trie.insert(“apple”);“apple”); // return True“app”); // return False
trie.startsWith(“app”); // return True
trie.insert(“app”);“app”); // return True


  • 1 <= word.length, prefix.length <= 2000
  • word and prefix consist only of lowercase English letters.
  • At most 3 * 104 calls in total will be made to insert, search, and startsWith.

  • Let’s say n is the number of characters in a string
  • Let’s k is the total number of strings you want to insert

Time Complexity:
Search: O(n)
Insert: O(n)
startsWith: O(n)

Space Complexity:

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