|
| 1 | +--- |
| 2 | +comments: true |
| 3 | +difficulty: Medium |
| 4 | +edit_url: Antim |
| 5 | +tags: |
| 6 | + - Design |
| 7 | + - Trie |
| 8 | + - Hash Table |
| 9 | + - String |
| 10 | +--- |
| 11 | + |
| 12 | +<!-- problem:start --> |
| 13 | + |
| 14 | +# [208. Implement Trie (Prefix Tree)](https://leetcode.com/problems/implement-trie-prefix-tree) |
| 15 | + |
| 16 | + |
| 17 | +## Description |
| 18 | + |
| 19 | +<!-- description:start --> |
| 20 | + |
| 21 | +<p>A <a href="https://en.wikipedia.org/wiki/Trie" target="_blank"><strong>trie</strong></a> (pronounced as "try") or <strong>prefix tree</strong> 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.</p> |
| 22 | + |
| 23 | +<p>Implement the Trie class:</p> |
| 24 | + |
| 25 | +<ul> |
| 26 | + <li><code>Trie()</code> Initializes the trie object.</li> |
| 27 | + <li><code>void insert(String word)</code> Inserts the string <code>word</code> into the trie.</li> |
| 28 | + <li><code>boolean search(String word)</code> Returns <code>true</code> if the string <code>word</code> is in the trie (i.e., was inserted before), and <code>false</code> otherwise.</li> |
| 29 | + <li><code>boolean startsWith(String prefix)</code> Returns <code>true</code> if there is a previously inserted string <code>word</code> that has the prefix <code>prefix</code>, and <code>false</code> otherwise.</li> |
| 30 | +</ul> |
| 31 | + |
| 32 | +<p> </p> |
| 33 | +<p><strong class="example">Example 1:</strong></p> |
| 34 | + |
| 35 | +<pre> |
| 36 | +<strong>Input</strong> |
| 37 | +["Trie", "insert", "search", "search", "startsWith", "insert", "search"] |
| 38 | +[[], ["apple"], ["apple"], ["app"], ["app"], ["app"], ["app"]] |
| 39 | +<strong>Output</strong> |
| 40 | +[null, null, true, false, true, null, true] |
| 41 | + |
| 42 | +<strong>Explanation</strong> |
| 43 | +Trie trie = new Trie(); |
| 44 | +trie.insert("apple"); |
| 45 | +trie.search("apple"); // return True |
| 46 | +trie.search("app"); // return False |
| 47 | +trie.startsWith("app"); // return True |
| 48 | +trie.insert("app"); |
| 49 | +trie.search("app"); // return True |
| 50 | +</pre> |
| 51 | + |
| 52 | +<p> </p> |
| 53 | +<p><strong>Constraints:</strong></p> |
| 54 | + |
| 55 | +<ul> |
| 56 | + <li><code>1 <= word.length, prefix.length <= 2000</code></li> |
| 57 | + <li><code>word</code> and <code>prefix</code> consist only of lowercase English letters.</li> |
| 58 | + <li>At most <code>3 * 10<sup>4</sup></code> calls <strong>in total</strong> will be made to <code>insert</code>, <code>search</code>, and <code>startsWith</code>.</li> |
| 59 | +</ul> |
| 60 | + |
| 61 | +<!-- description:end --> |
| 62 | + |
| 63 | +## Solutions |
| 64 | + |
| 65 | +<!-- solution:start --> |
| 66 | + |
| 67 | +### Solution 1 |
| 68 | + |
| 69 | +<!-- tabs:start --> |
| 70 | + |
| 71 | +#### Python3 |
| 72 | + |
| 73 | +```python |
| 74 | +class Trie: |
| 75 | + def __init__(self): |
| 76 | + self.children = [None] * 26 |
| 77 | + self.is_end = False |
| 78 | + |
| 79 | + def insert(self, word: str) -> None: |
| 80 | + node = self |
| 81 | + for c in word: |
| 82 | + idx = ord(c) - ord('a') |
| 83 | + if node.children[idx] is None: |
| 84 | + node.children[idx] = Trie() |
| 85 | + node = node.children[idx] |
| 86 | + node.is_end = True |
| 87 | + |
| 88 | + def search(self, word: str) -> bool: |
| 89 | + node = self._search_prefix(word) |
| 90 | + return node is not None and node.is_end |
| 91 | + |
| 92 | + def startsWith(self, prefix: str) -> bool: |
| 93 | + node = self._search_prefix(prefix) |
| 94 | + return node is not None |
| 95 | + |
| 96 | + def _search_prefix(self, prefix: str): |
| 97 | + node = self |
| 98 | + for c in prefix: |
| 99 | + idx = ord(c) - ord('a') |
| 100 | + if node.children[idx] is None: |
| 101 | + return None |
| 102 | + node = node.children[idx] |
| 103 | + return node |
| 104 | + |
| 105 | + |
| 106 | +# Your Trie object will be instantiated and called as such: |
| 107 | +# obj = Trie() |
| 108 | +# obj.insert(word) |
| 109 | +# param_2 = obj.search(word) |
| 110 | +# param_3 = obj.startsWith(prefix) |
| 111 | +``` |
| 112 | + |
| 113 | +#### Java |
| 114 | + |
| 115 | +```java |
| 116 | +class Trie { |
| 117 | + private Trie[] children; |
| 118 | + private boolean isEnd; |
| 119 | + |
| 120 | + public Trie() { |
| 121 | + children = new Trie[26]; |
| 122 | + } |
| 123 | + |
| 124 | + public void insert(String word) { |
| 125 | + Trie node = this; |
| 126 | + for (char c : word.toCharArray()) { |
| 127 | + int idx = c - 'a'; |
| 128 | + if (node.children[idx] == null) { |
| 129 | + node.children[idx] = new Trie(); |
| 130 | + } |
| 131 | + node = node.children[idx]; |
| 132 | + } |
| 133 | + node.isEnd = true; |
| 134 | + } |
| 135 | + |
| 136 | + public boolean search(String word) { |
| 137 | + Trie node = searchPrefix(word); |
| 138 | + return node != null && node.isEnd; |
| 139 | + } |
| 140 | + |
| 141 | + public boolean startsWith(String prefix) { |
| 142 | + Trie node = searchPrefix(prefix); |
| 143 | + return node != null; |
| 144 | + } |
| 145 | + |
| 146 | + private Trie searchPrefix(String s) { |
| 147 | + Trie node = this; |
| 148 | + for (char c : s.toCharArray()) { |
| 149 | + int idx = c - 'a'; |
| 150 | + if (node.children[idx] == null) { |
| 151 | + return null; |
| 152 | + } |
| 153 | + node = node.children[idx]; |
| 154 | + } |
| 155 | + return node; |
| 156 | + } |
| 157 | +} |
| 158 | + |
| 159 | +/** |
| 160 | + * Your Trie object will be instantiated and called as such: |
| 161 | + * Trie obj = new Trie(); |
| 162 | + * obj.insert(word); |
| 163 | + * boolean param_2 = obj.search(word); |
| 164 | + * boolean param_3 = obj.startsWith(prefix); |
| 165 | + */ |
| 166 | +``` |
| 167 | + |
| 168 | +#### C++ |
| 169 | + |
| 170 | +```cpp |
| 171 | +class Trie { |
| 172 | +private: |
| 173 | + vector<Trie*> children; |
| 174 | + bool isEnd; |
| 175 | + |
| 176 | + Trie* searchPrefix(string s) { |
| 177 | + Trie* node = this; |
| 178 | + for (char c : s) { |
| 179 | + int idx = c - 'a'; |
| 180 | + if (!node->children[idx]) return nullptr; |
| 181 | + node = node->children[idx]; |
| 182 | + } |
| 183 | + return node; |
| 184 | + } |
| 185 | + |
| 186 | +public: |
| 187 | + Trie() |
| 188 | + : children(26) |
| 189 | + , isEnd(false) {} |
| 190 | + |
| 191 | + void insert(string word) { |
| 192 | + Trie* node = this; |
| 193 | + for (char c : word) { |
| 194 | + int idx = c - 'a'; |
| 195 | + if (!node->children[idx]) node->children[idx] = new Trie(); |
| 196 | + node = node->children[idx]; |
| 197 | + } |
| 198 | + node->isEnd = true; |
| 199 | + } |
| 200 | + |
| 201 | + bool search(string word) { |
| 202 | + Trie* node = searchPrefix(word); |
| 203 | + return node != nullptr && node->isEnd; |
| 204 | + } |
| 205 | + |
| 206 | + bool startsWith(string prefix) { |
| 207 | + Trie* node = searchPrefix(prefix); |
| 208 | + return node != nullptr; |
| 209 | + } |
| 210 | +}; |
| 211 | + |
| 212 | +/** |
| 213 | + * Your Trie object will be instantiated and called as such: |
| 214 | + * Trie* obj = new Trie(); |
| 215 | + * obj->insert(word); |
| 216 | + * bool param_2 = obj->search(word); |
| 217 | + * bool param_3 = obj->startsWith(prefix); |
| 218 | + */ |
| 219 | +``` |
| 220 | +
|
| 221 | +<!-- tabs:end --> |
| 222 | +
|
| 223 | +<!-- solution:end --> |
| 224 | +
|
| 225 | +<!-- problem:end --> |
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