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All Paths From Source to Target

Problem statement

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.

My solution

/**
* @param {number[][]} graph
* @return {number[][]}
*/
var allPathsSourceTarget = function(graph) {
let result = []

let len = graph.length

function dfs(node, temp) {
if (node === len - 1) {
result.push([...temp])
return;
}

const list = graph[node];

for (let i = 0; i < list.length; i++) {
dfs(list[i], [...temp, list[i]])
}
}


dfs(0, [0])

return result;
};