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leetcode/apps/docs/content/(04-relational)/graph-bfs/127_word-ladder.mdx
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---
title: '127. Word Ladder'
description: 'A transformation sequence from word beginWord to word endWord using a dictionary wordList is a sequence of words beginWord -> s1 -> s2 -> ... -> sk such that:'
icon: dot
topics:
- { name: "Hash Table", slug: "hash-table" }
- { name: "String", slug: "string" }
- { name: "Breadth-First Search", slug: "breadth-first-search" }
- { name: "Bidirectional Search", slug: "bidirectional-search" }
issue: "https://github.com/prdlk/leetcode/issues/138"
companies:
- { name: "Ola Cabs", period: "Thirty Days", frequency: 65.6 }
- { name: "Amazon", period: "Thirty Days", frequency: 55.9 }
- { name: "Google", period: "Thirty Days", frequency: 29 }
- { name: "Apple", period: "Three Months", frequency: 69 }
- { name: "Bloomberg", period: "Three Months", frequency: 46.8 }
- { name: "Citadel", period: "Six Months", frequency: 88 }
- { name: "LinkedIn", period: "Six Months", frequency: 69.8 }
- { name: "Meta", period: "Six Months", frequency: 32.7 }
sidebar:
label: 'Word Ladder'
badge: 'Hard'
---
### 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.
## Solution
```py
import collections
class Solution:
def ladderLength(self, beginWord: str, endWord: str, wordList: list[str]) -> int:
if endWord not in wordList:
return 0
adj = collections.defaultdict(list)
wordList.append(beginWord)
for word in wordList:
for j in range(len(word)):
pattern = word[:j] + "*" + word[j + 1 :]
adj[pattern].append(word)
visit = set([beginWord])
q = collections.deque([beginWord])
res = 1
while q:
for i in range(len(q)):
word = q.popleft()
if word == endWord:
return res
for j in range(len(word)):
pattern = word[:j] + "*" + word[j + 1 :]
for adjWord in adj[pattern]:
if adjWord not in visit:
visit.add(adjWord)
q.append(adjWord)
res += 1
return 0
```