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Design a data structure that supports adding new words and finding if a string matches any previously added string.
Implement the WordDictionary
class:
WordDictionary()
Initializes the object.void addWord(word)
Addsword
to the data structure, it can be matched later.bool search(word)
Returnstrue
if there is any string in the data structure that matchesword
orfalse
otherwise.word
may contain dots'.'
where dots can be matched with any letter.
Example:
Input ["WordDictionary","addWord","addWord","addWord","search","search","search","search"] [[],["bad"],["dad"],["mad"],["pad"],["bad"],[".ad"],["b.."]] Output [null,null,null,null,false,true,true,true] Explanation WordDictionary wordDictionary = new WordDictionary(); wordDictionary.addWord("bad"); wordDictionary.addWord("dad"); wordDictionary.addWord("mad"); wordDictionary.search("pad"); // return False wordDictionary.search("bad"); // return True wordDictionary.search(".ad"); // return True wordDictionary.search("b.."); // return True
Constraints:
1 <= word.length <= 25
word
inaddWord
consists of lowercase English letters.word
insearch
consist of'.'
or lowercase English letters.- There will be at most
2
dots inword
forsearch
queries. - At most
10 4
calls will be made toaddWord
andsearch
.
Python
# time complexity: O(M) # space complexity: O(M) class TrieNode: def __init__(self): self.children = {} self.isEnd = False class WordDictionary: def __init__(self): self.root = TrieNode() self.maxLen = 0 def addWord(self, word: str) -> None: node = self.root l = 0 for char in word: if char not in node.children: node.children[char] = TrieNode() node = node.children[char] l += 1 self.maxLen = max(self.maxLen, l) node.isEnd = True def search(self, word: str) -> bool: if len(word) > self.maxLen: return False def helper(idx, node): for i in range(idx, len(word)): if word[i] == ".": for child in node.children.values(): if helper(i + 1, child): return True return False else: if word[i] not in node.children: return False node = node.children[word[i]] return node.isEnd return helper(0, self.root) wordDictionary = WordDictionary() wordDictionary.addWord("bad") wordDictionary.addWord("dad") wordDictionary.addWord("mad") print(wordDictionary.search("pad")) print(wordDictionary.search("bad")) print(wordDictionary.search(".ad")) print(wordDictionary.search("b.."))