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127. Word Ladder

2019-11-10 19:51:32
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Given two Words (beginWord and endWord), and a dictionary's word list, find the length of shortest transformation sequence frombeginWord toendWord, such that:

Only one letter can be changed at a time.Each transformed word must exist in the word list. Note that beginWord isnot a transformed word.

For example,

Given:beginWord = "hit"endWord = "cog"wordList = ["hot","dot","dog","lot","log","cog"]

As one shortest transformation is "hit" -> "hot" -> "dot" -> "dog" -> "cog",return its length 5.

Note:

Return 0 if there is no such transformation sequence.All words have the same length.All words contain only lowercase alphabetic characters.You may assume no duplicates in the word list.You may assume beginWord and endWord are non-empty and are not the same.

UPDATE (2017/1/20):The wordList parameter had been changed to a list of strings (instead of a set of strings). Please reload the code definition to get the latest changes.

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给出一个开始单词和结束单词,以及一系列的转换单词,问最少几次转换能使开始单词转换成结束单词。这里主要用到3个unordered_set<string>类型的集合,其中2个用来存放从两端“延伸”出来的单词(beginSet和endSet),还有一个存放剩余的单词(wordSet)。为了减少计算时间,每次选择元素个数比较少的集合(beginSet和endSet)进行操作,操作的集合设为set1,另一个为set2。对set1每一个单词的每一个字母进行改变(每个字每改变26次),每次改变在set2中查找是否有当前单词,如果有的话说明两个集合能“连通”了,就返回答案;另外还要在wordSet中查找是否有该单词,有的话收集起来(放在set3中),本轮结束后令set1変为set3(因为原本的单词已经没用了,总不能变回去啦),收集之外还要在wordSet中删除该单词。初始答案为2,每轮操作答案都加2。要注意的是如果wordSet中不含结束单词是无法完成转换的,这种情况返回0.

代码:

class Solution{public:	int ladderLength(string beginWord, string endWord, vector<string>& wordList) 	{		using strset = unordered_set<string>;		strset beginSet, endSet, wordSet(wordList.begin(), wordList.end());		if(wordSet.find(endWord) == wordSet.end()) return 0;		beginSet.insert(beginWord);		endSet.insert(endWord);		wordSet.erase(endWord);		int res = 2;		while(!beginSet.empty() && !endSet.empty())		{			strset *set1, *set2, set3;			if(beginSet.size() <= endSet.size()) { set1 = &beginSet; set2 = &endSet; }			else { set2 = &beginSet; set1 = &endSet; }			for(auto iter = set1->begin(); iter != set1->end(); ++iter)			{				string cur = *iter;				for(int i = 0; i < cur.size(); ++i)				{					char tmp = cur[i];					for(int j = 0; j < 26; ++j)					{						cur[i] = 'a' + j; 						if(set2->find(cur) != set2->end()) return res;						if(wordSet.find(cur) != wordSet.end())						{							set3.insert(cur);							wordSet.erase(cur);						}					}					cur[i] = tmp;				}			}			swap(*set1, set3);			++res;		}		return 0;	}};


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