Learn Algorithms from LeetCode - 119 (0797. All Paths From Source to Target(Medium))

Categories: Graph/DFS, Level: Medium

Chih-Yu Lin

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Question:

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
  • graph[i][j] != i (i.e., there will be no self-loops).
  • All the elements of graph[i] are unique.
  • The input graph is guaranteed to be a DAG.

Analysis/Approach:
Given a directed acyclic graph (DAG) with n nodes labeled from 0 to n — 1, we need to find all possible paths from node 0 to node n — 1 and return them…

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Chih-Yu Lin

LeetCode、Python、Java、Android;第11屆iT邦幫忙鐵人賽Software Development組優選(從LeetCode學演算法);HiSKIO特約講師;課程優惠: https://bit.ly/lc2022all ;合作請洽: learnwithdesolve@gmail.com