From 9eee1b9a0ae336c1a86596f7fd90bd3b0e301668 Mon Sep 17 00:00:00 2001 From: jonghoonpark Date: Sun, 30 Jun 2024 00:50:43 +0900 Subject: [PATCH] add post '(Leetcode) 211 - Design Add and Search Words Data Structure (Trie)' --- _posts/2024-06-30-leetcode-211.md | 219 ++++++++++++++++++ .../2024-06-30-leetcode-211/submit_result.png | Bin 0 -> 120130 bytes 2 files changed, 219 insertions(+) create mode 100644 _posts/2024-06-30-leetcode-211.md create mode 100644 assets/images/2024-06-30-leetcode-211/submit_result.png diff --git a/_posts/2024-06-30-leetcode-211.md b/_posts/2024-06-30-leetcode-211.md new file mode 100644 index 0000000..13a5017 --- /dev/null +++ b/_posts/2024-06-30-leetcode-211.md @@ -0,0 +1,219 @@ +--- +layout: post +title: (Leetcode) 211 - Design Add and Search Words Data Structure (Trie) +categories: [스터디-알고리즘] +tags: [자바, java, 리트코드, Leetcode, 알고리즘, brute force, trie, tree] +date: 2024-06-30 00:30:00 +0900 +toc: true +--- + +기회가 되어 [달레님의 스터디](https://github.com/DaleStudy/leetcode-study)에 참여하여 시간이 될 때마다 한문제씩 풀어보고 있다. + +[https://neetcode.io/practice](https://neetcode.io/practice) + +--- + +[https://leetcode.com/problems/design-add-and-search-words-data-structure](https://leetcode.com/problems/design-add-and-search-words-data-structure) + +점진적으로 개선하여 보았다. + +## brute force + +아슬아슬하게 통과한다. + +```java +class WordDictionary { + + Set wordSet; + + public WordDictionary() { + wordSet = new HashSet<>(); + } + + public void addWord(String word) { + wordSet.add(word); + } + + public boolean search(String word) { + Deque queue = new ArrayDeque<>(); + queue.push(word); + + while (queue.getFirst().contains(".")) { + String _word = queue.removeFirst(); + String pre = _word.substring(0, _word.indexOf(".")); + String post = _word.substring(_word.indexOf(".") + 1); + + for (char c = 'a'; c <= 'z'; c++) { + queue.addLast(pre + c + post); + } + } + + while (!queue.isEmpty()) { + String _word = queue.removeFirst(); + if (wordSet.contains(_word)) { + return true; + } + } + + return false; + } +} +``` + +### TC, SC + +- `.` 이 없을 때 + - 시간 복잡도 : `O(1)` + - 공간 복잡도 : `O(1)` +- `.` 이 있을 때 + - 시간 복잡도 : `O(26^N)` + - 공간 복잡도 : `O(26^N)` + - 여기서 N은 `.` 의 수 + +## trie + +[208. Implement Trie (Prefix Tree)](https://leetcode.com/problems/implement-trie-prefix-tree/) 문제 에서 사용한 Trie 재사용. + +```java +class WordDictionary { + + Trie trie; // Trie 구현은 생략 + + public WordDictionary() { + trie = new Trie(); + } + + public void addWord(String word) { + trie.insert(word); + } + + public boolean search(String word) { + if (word.contains(".")) { + String pre = word.substring(0, word.indexOf(".")); + String post = word.substring(word.indexOf(".") + 1); + + if (trie.startsWith(pre)) { + for (char c = 'a'; c <= 'z'; c++) { + if (search(pre + c + post)) { + return true; + } + } + } + + return false; + } + + return trie.search(word); + } + + +} +``` + +### TC, SC + +입력된 문자열의 길이를 `L`, `.` 의 수를 `N` 이라고 하였을 때 + +addWord 메소드의 경우 시간 복잡도는 `O(L)`이다. +search 메소드의 경우 입력된 문자열의 길이를 n 이라 하였을 때 시간 복잡도는 `O(L * 26 ^ N)`이다. + +공간 복잡도는 Trie 구조를 만드는데 사용된 공간이다. `insert된 문자열 길이의 평균` 를 `avg(L)`이라고 하였을 때 `O(avg(L) * 26)`이다. 26은 계수이기 때문에 생략할 수 있다. + +## trie 개선 + +이 문제에 적합하도록 search를 수정하였다. + +```java +class WordDictionary { + + Trie trie; + + public WordDictionary() { + trie = new Trie(); + } + + public void addWord(String word) { + trie.insert(word); + } + + public boolean search(String word) { + return trie.search(word); + } + + +} + +class Trie { + + Node root = new Node(); + + public Trie() { + + } + + public void insert(String word) { + Node currentNode = root; + for (char c : word.toCharArray()) { + if (currentNode.nodes[c - 97] == null) { + currentNode.nodes[c - 97] = new Node(); + } + currentNode = currentNode.nodes[c - 97]; + } + currentNode.val = word; + } + + public boolean search(String word) { + return search(root, word, 0); + } + + public boolean search(Node node, String word, int index) { + if (node == null) { + return false; + } + + if (node.val != null && node.val.length() == word.length()) { + return true; + } + + if (index >= word.length()) { + return false; + } + + char c = word.charAt(index); + + if (c == '.') { + for (char _c = 'a'; _c <= 'z'; _c++) { + if (search(node.nodes[_c - 97], word, index + 1)) { + return true; + } + } + return false; + } else if (node.nodes[c - 97] == null) { + return false; + } + + return search(node.nodes[c - 97], word, index + 1); + } +} + +class Node { + String val; + Node[] nodes = new Node[26]; +} +``` + +### TC, SC + +입력된 문자열의 길이를 `L`, `.` 의 수를 `N` 이라고 하였을 때 + +addWord 메소드의 경우 시간 복잡도는 `O(L)`이다. +search 메소드의 경우 입력된 문자열의 길이를 n 이라 하였을 때 시간 복잡도는 `O(L * 26 ^ N)`이다. +개선 전과 비교해봤을 때 표기상으로는 차이가 없으나, 불필요한 과정을 제거하게되어서 시간이 매우 단축된다. (`trie.startsWith(pre)`이 사라졌고, search의 호출 횟수가 줄어듬.) + +공간 복잡도는 Trie 구조를 만드는데 사용된 공간이다. `insert된 문자열 길이의 평균` 를 `avg(L)`이라고 하였을 때 `O(avg(L) * 26)`이다. 26은 계수이기 때문에 생략할 수 있다. + +### submit result + +개선된 trie 로직으로 제출결과 최상단에 위치하였다. 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