题目描述
Trie(发音类似 "try")或者说 前缀树 是一种树形数据结构,用于高效地存储和检索字符串数据集中的键。这一数据结构有相当多的应用情景,例如自动补完和拼写检查。
请你实现 Trie 类:
Trie() 初始化前缀树对象。void insert(String word) 向前缀树中插入字符串 word 。boolean search(String word) 如果字符串 word 在前缀树中,返回 true(即,在检索之前已经插入);否则,返回 false 。boolean startsWith(String prefix) 如果之前已经插入的字符串 word 的前缀之一为 prefix ,返回 true ;否则,返回 false 。
示例:
输入
["Trie", "insert", "search", "search", "startsWith", "insert", "search"][[], ["apple"], ["apple"], ["app"], ["app"], ["app"], ["app"]]
输出
[null, null, true, false, true, null, true]
解释
Trie trie = new Trie();
trie.insert("apple");
trie.search("apple"); // 返回 True
trie.search("app"); // 返回 False
trie.startsWith("app"); // 返回 True
trie.insert("app");
trie.search("app"); // 返回 True
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代码
class Trie {
private TrieNode root;
/** Initialize your data structure here. */
public Trie() {
root = new TrieNode();
}
/** Inserts a word into the trie. */
public void insert(String word) {
TrieNode node = root;
for (char ch : word.toCharArray()) {
if (!node.containsKey(ch)) {
node.put(ch, new TrieNode());
}
node = node.get(ch);
}
node.setEnd();
}
/** Returns if the word is in the trie. */
public boolean search(String word) {
TrieNode node = searchPrefix(word);
return node != null && node.isEnd();
}
/** Returns if there is any word in the trie that starts with the given prefix. */
public boolean startsWith(String prefix) {
TrieNode node = searchPrefix(prefix);
return node != null;
}
public TrieNode searchPrefix(String prefix) {
TrieNode node = root;
for (char c : prefix.toCharArray()) {
if (node.containsKey(c)) {
node = node.get(c);
} else {
return null;
}
}
return node;
}
}
class TrieNode {
private TrieNode[] links;
private final int R = 26;
private boolean isEnd;
public TrieNode () {
links = new TrieNode[R];
}
public boolean containsKey(char ch) {
return links[ch - 'a'] != null;
}
public TrieNode get(char ch) {
return links[ch - 'a'];
}
public void put(char ch, TrieNode node) {
links[ch - 'a'] = node;
}
public void setEnd() {
isEnd = true;
}
public boolean isEnd() {
return isEnd;
}
}
/**
* Your Trie object will be instantiated and called as such:
* Trie obj = new Trie();
* obj.insert(word);
* boolean param_2 = obj.search(word);
* boolean param_3 = obj.startsWith(prefix);
*/
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总结
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