返回题库

实现 Trie 前缀树

Implement Trie (Prefix Tree)

专题
Algorithmic Programming / 算法编程
难度
L3
来源
Citadel

题目详情

问题:实现 Trie 前缀树

考察:字符串、树

来源:Citadel

链接:https://www.jointaro.com/interviews/questions/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:

Input
["Trie", "insert", "search", "search", "startsWith", "insert", "search"]
[[], ["apple"], ["apple"], ["app"], ["app"], ["app"], ["app"]]
Output
[null, null, true, false, true, null, true]

Explanation
Trie trie = new Trie();
trie.insert("apple");
trie.search("apple");   // return True
trie.search("app");     // return False
trie.startsWith("app"); // return True
trie.insert("app");
trie.search("app");     // return True

 

Constraints:

  • 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.
解析

思路:每个 Trie 节点维护子节点映射和单词结束标记。插入时逐字符创建节点,搜索完整单词要求最后节点有结束标记,前缀搜索只要求路径存在。

复杂度:单次操作 O(L),空间为所有插入字符总数。