Alien Dictionary — LeetCode 269 Python Solution
HardLeetCode PremiumDepth-First SearchBreadth-First SearchGraphTopological SortArrayString
- Problem
- #269
- Pattern
- Topological Sort
- Reading time
- 9 min
- Source
- leetcode.com
The problem
There is a new alien language that uses the English alphabet. However, the order of the letters is unknown to you.
Example
- Input
- words = ["wrt","wrf","er","ett","rftt"]
- Output
- "wertf"
Python solution
Python
class Solution:
def alienOrder(self, words: List[str]) -> str:
g = [[False] * 26 for _ in range(26)]
s = [False] * 26
cnt = 0
n = len(words)
for i in range(n - 1):
for c in words[i]:
if cnt == 26:
break
o = ord(c) - ord('a')
if not s[o]:
cnt += 1
s[o] = True
m = len(words[i])
for j in range(m):
if j >= len(words[i + 1]):
return ''
c1, c2 = words[i][j], words[i + 1][j]
if c1 == c2:
continue
o1, o2 = ord(c1) - ord('a'), ord(c2) - ord('a')
if g[o2][o1]:
return ''
g[o1][o2] = True
break
for c in words[n - 1]:
if cnt == 26:
break
o = ord(c) - ord('a')
if not s[o]:
cnt += 1
s[o] = True
indegree = [0] * 26
for i in range(26):
for j in range(26):
if i != j and s[i] and s[j] and g[i][j]:
indegree[j] += 1
q = deque()
ans = []
for i in range(26):
if s[i] and indegree[i] == 0:
q.append(i)
while q:
t = q.popleft()
ans.append(chr(t + ord('a')))
for i in range(26):
if s[i] and i != t and g[t][i]:
indegree[i] -= 1
if indegree[i] == 0:
q.append(i)
return '' if len(ans) < cnt else ''.join(ans)Complexity
| Measure | Complexity |
|---|---|
| Time | O(V+E) |
| Space | O(V) auxiliary |
Pattern: Topological Sort
Order a set of tasks so that every dependency comes before the thing that needs it. LeetCode 269. Alien Dictionary is filed here because LeetCode tags it Topological Sort, which is the vocabulary this hub collects.
The topological sort guide has the Python template for the pattern and the 32 LeetCode problems that use it.
Related problems
On study lists
This problem is on Blind 75 and NeetCode 150.
Frequently asked questions
- How hard is LeetCode 269. Alien Dictionary?
- LeetCode 269. Alien Dictionary is rated Hard on LeetCode.
- What is the time complexity of LeetCode 269. Alien Dictionary?
- The Python solution on this page runs in O(V+E).
- What is the space complexity of LeetCode 269. Alien Dictionary?
- The Python solution on this page uses O(V) auxiliary space.
- What topics does LeetCode 269. Alien Dictionary cover?
- LeetCode 269. Alien Dictionary is tagged Depth-First Search, Breadth-First Search, Graph, Topological Sort, Array and String on LeetCode.
- Is LeetCode 269. Alien Dictionary a premium problem?
- Yes. LeetCode 269. Alien Dictionary is a LeetCode Premium problem, so the full statement and test cases require a paid LeetCode subscription.