Word Ladder Problem (DFS + BFS)
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 transformed word must exist in the word list. Note that beginWord is not 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.
Code:
class Solution {
public:
vector<vector<string>> findLadders(string beginWord, string endWord, vector<string>& wordList) {
//1.convert vector to unordered_set
unordered_set<string> wordDict;
for(int i=; i<wordList.size(); i++)
{
wordDict.insert(wordList[i]);
}
if(wordDict.find(endWord) == wordDict.end()) return vector<vector<string>>();
//2.record each node's pre_node from begin to end using bfs strategy
unordered_map<string, vector<string>> preNode;
bfs(preNode, wordDict, beginWord, endWord);
//3.search all the road using dfs from end to start
vector<vector<string>> res;
vector<string> temp;
dfs(beginWord, endWord, temp, preNode, res);
return res;
}
private:
void bfs(unordered_map<string, vector<string>>&preNode,
unordered_set<string>& wordDict, string beginWord, string endWord)
{
queue<string> q;
unordered_set<string> visit;
visit.insert(beginWord);
vector<string> connect;
q.push(beginWord);
while(!q.empty())
{
int len = q.size();
vector<string> tmpVisit;
while(len--)
{
string current = q.front();
q.pop();
isConnect(connect, wordDict, current, endWord, visit);
for(int i=; i<connect.size(); i++)
{
if(visit.find(connect[i]) == visit.end()) // not visited
{
if(preNode[connect[i]].empty())
{
tmpVisit.push_back(connect[i]);
q.push(connect[i]);
}
preNode[connect[i]].push_back(current);
}
}
} //each level
for(int j=; j<tmpVisit.size(); j++)
{
visit.insert(tmpVisit[j]);
}
if(visit.find(endWord) != visit.end())
return;
}
}
void isConnect(vector<string>& connect, unordered_set<string>& wordDict,
const string& current, const string& end, unordered_set<string>& visit)
{
connect.clear();
string cur = current;
for(int i=; i<cur.size(); i++)
{
char t = cur[i];
for(char c='a'; c<'z'; c++)
{
if(c == t) continue;
cur[i] = c;
if((wordDict.find(cur) != wordDict.end()) && visit.find(cur) == visit.end())
{
connect.push_back(cur);
}
}
cur[i] = t;
}
}
void dfs(const string& beginWord, const string& t, vector<string> tmp,
unordered_map<string, vector<string>>& preNode, vector<vector<string>>& res)
{
if(t == beginWord)
{
tmp.push_back(beginWord);
vector<string> tmpres(tmp.rbegin(), tmp.rend());
res.push_back(tmpres);
return;
}
tmp.push_back(t);
for(int i=; i<preNode[t].size(); i++)
{
dfs(beginWord, preNode[t][i], tmp, preNode, res);
}
}
};
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