Leetcode163: Word Ladder
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Given two words (beginWord and endWord), and a dictionary's word list, find the length of shortest transformation sequence from beginWord to endWord, such that:
- Only one letter can be changed at a time
- Each intermediate word must exist in the word list
For example,
Given:
beginWord = "hit"
endWord = "cog"
wordList = ["hot","dot","dog","lot","log"]
As one shortest transformation is "hit" -> "hot" -> "dot" -> "dog" -> "cog"
,
return its length 5
.
网上对该问题的解决无一例外都是按照下面的思路:将当前单词每一个字符替换成a~z的任意一个字符,然后判断是否在词典中出现。此时的复杂度是O(26*word_length),当单词比较短时,这种方法的优势就体现出来了。
class Solution {public: int ladderLength(string beginWord, string endWord, unordered_set<string>& wordList) { if(beginWord.size() != endWord.size()) return 0; if(beginWord.empty() || endWord.empty())return 0; queue<string> path; path.push(beginWord); int level = 1; int count = 1; wordList.erase(beginWord); while(wordList.size() > 0 && !path.empty()) { string curword = path.front(); path.pop();count--; for(int i = 0; i < curword.size(); i++) { string tmp = curword; for(char j='a'; j<='z'; j++) { if(tmp[i]==j)continue; tmp[i] = j; if(tmp==endWord)return level+1; if(wordList.find(tmp) != wordList.end()) path.push(tmp); wordList.erase(tmp); } } if(count==0) { count = path.size(); level++; } } return 0; }};
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