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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)Addswordto the data structure, it can be matched later.bool search(word)Returnstrueif there is any string in the data structure that matcheswordorfalseotherwise.wordmay 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 <= 25wordinaddWordconsists of lowercase English letters.wordinsearchconsist of'.'or lowercase English letters.- There will be at most
2dots inwordforsearchqueries. - At most
104calls will be made toaddWordandsearch.
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.."))

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