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[12/30] 797. All Paths From Source to Target
본문
Given a directed acyclic graph (DAG) of n
nodes labeled from 0
to n - 1
, find all possible paths from node 0
to node n - 1
and return them in any order.
The graph is given as follows: graph[i]
is a list of all nodes you can visit from node i
(i.e., there is a directed edge from node i
to node graph[i][j]
).
Example 1:
Input: graph = [[1,2],[3],[3],[]] Output: [[0,1,3],[0,2,3]] Explanation: There are two paths: 0 -> 1 -> 3 and 0 -> 2 -> 3.
Example 2:
Input: graph = [[4,3,1],[3,2,4],[3],[4],[]] Output: [[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4],[0,1,4]]
Constraints:
n == graph.length
2 <= n <= 15
0 <= graph[i][j] < n
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class Solution:
def allPathsSourceTarget(self, graph: List[List[int]]) -> List[List[int]]:
res = []
N = len(graph)-1
path = [0]
def dfs(curr):
if curr == N:
res.append(path.copy())
return
for nxt in graph[curr]:
path.append(nxt)
dfs(nxt)
path.pop()
dfs(0)
return res