Word Ladder
Problem Statement
A transformation sequence from word beginWord to word endWord using a dictionary wordList is a sequence of words beginWord -> s1 -> s2 -> ... -> sk
such that:
- Every adjacent pair of words differs by a single letter.
- Every si for 1 <= i <= k is in wordList. Note that beginWord does not need to be in wordList.
- sk == endWord
Given two words, beginWord
and endWord
, and a dictionary wordList
, return the number of words in the shortest transformation sequence from beginWord
to endWord
, or 0
if no such sequence exists.
Example 1:
Input: beginWord = "hit", endWord = "cog", wordList = ["hot","dot","dog","lot","log","cog"]
Output: 5
Explanation: One shortest transformation sequence is "hit" -> "hot" -> "dot" -> "dog" -> cog", which is 5 words long.
Example 2:
Input: beginWord = "hit", endWord = "cog", wordList = ["hot","dot","dog","lot","log"]
Output: 0
Explanation: The endWord "cog" is not in wordList, therefore there is no valid transformation sequence.
Constraints:
- 1 <= beginWord.length <= 10
- endWord.length == beginWord.length
- 1 <= wordList.length <= 5000
- wordList[i].length == beginWord.length
- beginWord, endWord, and wordList[i] consist of lowercase English letters.
- beginWord != endWord
- All the words in wordList are unique.
Code
Python
class Solution:
def ladderLength(self, beginWord: str, endWord: str, wordList: List[str]) -> int:
s=set(wordList)
l=['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t',
'u','v','w','x','y','z']
queue=deque([])
queue.append([beginWord,0])
while queue:
a,b=queue.popleft()
if a==endWord:
return b+1
for j in range(len(a)):
for i in l:
if (a[:j]+i+a[j+1:]) in s and (a[:j]+i+a[j+1:])!=beginWord:
s.remove(a[:j]+i+a[j+1:])
queue.append([a[:j]+i+a[j+1:],b+1])
return 0