Thursday, May 28, 2015

[LeetCode] Add and Search Word - Data structure design

Add and Search Word - Data structure design

Design a data structure that supports the following two operations:
void addWord(word)
bool search(word)
search(word) can search a literal word or a regular expression string containing only letters a-z or .. A . means it can represent any one letter.
For example:
addWord("bad")
addWord("dad")
addWord("mad")
search("pad") -> false
search("bad") -> true
search(".ad") -> true
search("b..") -> true
Note:
You may assume that all words are consist of lowercase letters a-z.
You should be familiar with how a Trie works. If not, please work on this problem: Implement Trie (Prefix Tree) first.
Solution: This is based on the post for [LeetCode] Implement Trie (Prefix Tree).

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public class WordDictionary {
    Trie trie = new Trie();

    // Adds a word into the data structure.
    public void addWord(String word) {
        trie.insert(word);
    }

    // Returns if the word is in the data structure. A word could
    // contain the dot character '.' to represent any one letter.
    public boolean search(String word) {
        return trie.search(word);
    }
}

// Your WordDictionary object will be instantiated and called as such:
// WordDictionary wordDictionary = new WordDictionary();
// wordDictionary.addWord("word");
// wordDictionary.search("pattern");

class TrieNode {
    char ch;
    boolean isWord = false;
    TrieNode[] children = null;
    
    public TrieNode() { 
        
    }
    
    public TrieNode(char c) {
        this.ch = c;
    }
}

class Trie {
    TrieNode root;
    
    public Trie() {
        root = new TrieNode();
    }
    
    public void insert(String word) {
        if (word == null || word.length() == 0) {
            return;
        }
        TrieNode node = root;
        for (int i = 0; i < word.length(); i++) {
            if (node.children == null) {
                node.children = new TrieNode[26];
            }
            int idx = word.charAt(i) - 'a';
            if (node.children[idx] == null) {
                node.children[idx] = new TrieNode(word.charAt(i));
            }
            node = node.children[idx];
            if (i == word.length() - 1) {
                node.isWord = true;
            }
        }
    }
    
    public boolean search(String word) {
        if (word == null || word.length() == 0) {
            return false;
        }
        return DFS(word, 0, root);
    }
    
    public boolean DFS(String word, int i, TrieNode node) {
        if (node == null) {
            return false;
        }
        if (i == word.length()) {
            return node.isWord;
        }
        if (node.children == null) {
            return false;
        }
        if (word.charAt(i) != '.') {
            int idx = word.charAt(i) - 'a';
            return DFS(word, i + 1, node.children[idx]);
        }
        for (int j = 0; j < 26; j++) {
            if (DFS(word, i + 1, node.children[j])) {
                return true;
            }
        }
        return false;
    }
}

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