实现 Trie 前缀树
Implement Trie (Prefix Tree)
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 stringwordinto the trie.boolean search(String word)Returnstrueif the stringwordis in the trie (i.e., was inserted before), andfalseotherwise.boolean startsWith(String prefix)Returnstrueif there is a previously inserted stringwordthat has the prefixprefix, andfalseotherwise.
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 <= 2000wordandprefixconsist only of lowercase English letters.- At most
3 * 104calls in total will be made toinsert,search, andstartsWith.
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。