Merge pull request apachecn#253 from xshahq/master

第127题

Author: 0xkookoo

docs/Leetcode_Solutions/C++/0127._Word_Ladde.md

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+# 127. Word Ladder
+
+**<font color=red>难度:Medium<font>**
+
+## 刷题内容
+
+> 原题连接
+
+* https://leetcode.com/problems/word-ladder/
+
+> 内容描述
+
+```
+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.
+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.
+Example 1:
+
+Input:
+beginWord = "hit",
+endWord = "cog",
+wordList = ["hot","dot","dog","lot","log","cog"]
+
+Output: 5
+
+Explanation: As one shortest transformation is "hit" -> "hot" -> "dot" -> "dog" -> "cog",
+return its length 5.
+Example 2:
+
+Input:
+beginWord = "hit"
+endWord = "cog"
+wordList = ["hot","dot","dog","lot","log"]
+
+Output: 0
+
+Explanation: The endWord "cog" is not in wordList, therefore no possible transformation.
+
+```
+> 思路1
+
+******- 时间复杂度: O(EV+V^3)******- 空间复杂度: O(n^2)******
+
+这是一道不错的题，第一种用BFS解，首先我们构造一个图，用二维数组储存，然后BFS一层一层搜索。上面E是边的数量，v是节点的数量
+
+```cpp
+class Solution {
+public:
+    int ladderLength(string beginWord, string endWord, vector<string>& wordList) {
+        wordList.push_back(beginWord);
+        int len = wordList[0].length(),length = wordList.size();
+        queue<int> q;
+        vector<int> d[length];
+        int min_l[length];
+        for(int i = 0;i < length;++i)
+            min_l[i] = INT_MAX;
+        for(int i = 0;i < length;++i)
+            for(int j = i + 1;j <length;++j)
+            {
+                int count1 = 0;
+                for(int t = 0;t < len;++t)
+                    if(wordList[i][t] != wordList[j][t])
+                        count1++;
+                if(count1 == 1)
+                {
+                    d[i].push_back(j);
+                    d[j].push_back(i);
+                }
+            }
+        int exit = -1;
+        for(int i = 0;i < length;++i)
+            if(wordList[i] == endWord)
+            {
+                exit = i;
+                min_l[i] = 0;
+                q.push(i);
+            }
+        if(exit == -1)
+            return 0;
+        while(q.size())
+        {
+            int t = q.front();
+            for(int i = 0;i < d[t].size();++i)
+                if(min_l[d[t][i]] > min_l[t] + 1)
+                {
+                    q.push(d[t][i]);
+                    min_l[d[t][i]] = min_l[t] + 1;
+                    if(d[t][i] == length - 1)
+                        return min_l[length - 1] + 1;
+                }
+            q.pop();
+        }
+        return 0;
+    }
+};
+```
+
+
+> 思路2
+
+******- 时间复杂度: O(EV*len)******- 空间复杂度: O(V)******
+
+上面的方法效率不高，因此可以改用用unordered_set储存所有的字符串，然后每次只改动一个字符，在set中查找这个单词是否存在即可。上面的len是每个单词的长度。
+
+```cpp
+class Solution {
+public:
+    int ladderLength(string beginWord, string endWord, vector<string>& wordList) {
+        wordList.push_back(beginWord);
+        int len = wordList[0].length(),length = wordList.size();
+        queue<string> q;
+        unordered_set<string> s(wordList.begin(),wordList.end());
+        int min_l[length];
+        auto pos = s.find(endWord);
+        if(pos == s.end())
+            return 0;
+        q.push(*pos);
+        int level = 1;
+        string count1 = endWord;
+        while(q.size())
+        {
+            string temp1 = q.front();
+            for(int j = 0;j < temp1.size();++j)
+            {
+                string temp = temp1;           
+                for(int i = 'a';i <= 'z';++i)
+                {
+                    temp[j] = i;
+                    if(temp != temp1 && s.find(temp) != s.end())
+                    {
+                        q.push(temp);
+                        if(temp == beginWord)
+                            return level + 1;
+                        s.erase(temp);
+                    }
+                    temp = temp1;
+                }
+            }
+            if(count1 == temp1)
+            {
+                count1 = q.back();
+                level++;
+            }
+            s.erase(temp1);
+            q.pop();
+        }
+        return 0;
+    }
+};
+```