LeetCode: Word Ladder解题报告

Word Ladder解题报告

Given two words (start and end), and a dictionary, find the length of shortest transformation sequence from start to end, such that:

Only one letter can be changed at a time
Each intermediate word must exist in the dictionary
For example,

Given:
start = "hit"
end = "cog"
dict = ["hot","dot","dog","lot","log"]
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.

LeetCode: Word Ladder解题报告

SOLUTION 1:

经典的BFS题目。
想象一下,这个变换过程是一个树,每一层是当前所有的变换结果 ,下一层又是上一层的字符串的所有的变换结果。例子:
HIT
AIT, BIT, CIT, DIT..... 

    HAT, HBT, HCT, HDT.....    HIA, HIB, HIC, HID....

HIT 可以有这么多种变换方式,而AIT, BIT本身也可以以相同的方式展开,这就形成了一个相当大的树。
HIT
AIT, BIT, CIT, DIT.....     HAT, HBT, HCT, HDT.....    HIA, HIB, HIC, HID....
 |    (BIT,CIT这些没有再展开了,画图实在不方便)
 |
AIT, BIT, CIT, DIT...     ABT, ACT, ADT....

 1 public class Solution {

 2     public int ladderLength(String start, String end, Set<String> dict) {

 3         if (start == null || end == null || dict == null) {

 4             return 0;

 5         }

 6         

 7         // Bug 1: quese is a interface not a class

 8         Queue<String> q = new LinkedList<String>();

 9         q.offer(start);

10         

11         HashSet<String> set = new HashSet<String>();

12         set.add(start);

13         

14         // Bug 3: lever start from 1;

15         int level = 1;

16         

17         while (!q.isEmpty()) {

18             int size = q.size();

19             

20             level++;

21             

22             for (int i = 0; i < size; i++) {

23                 String s = q.poll();

24                 

25                 int len = s.length();

26                 

27                 for (int j = 0; j < len; j++) {

28                     StringBuilder sb = new StringBuilder(s);

29                     for (char c = 'a'; c <= 'z'; c++) {

30                         // Bug 2: setCharAt

31                         sb.setCharAt(j, c);

32                         String tmp = sb.toString();

33                         

34                         // 按照题意,这句应该在前,因为题目并不要求end在dict中。

35                         if (tmp.equals(end)) {

36                             return level;

37                         }

38                         

39                         // Should be in the dict and not in the hashset.

40                         if (set.contains(tmp) || !dict.contains(tmp)) {

41                             continue;

42                         }

43                         

44                         set.add(tmp);

45                         q.offer(tmp);

46                     }

47                 }

48                 

49             }

50         }

51         

52         // When not found, return 0;

53         // "hot", "dog", ["hot","dog"]

54         return 0;

55     }

56 }
View Code

GITHUB:

https://github.com/yuzhangcmu/LeetCode_algorithm/blob/master/bfs/LadderLength_1218_2014.java

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