# 0797. All Paths From Source to Target

https://leetcode.com/problems/all-paths-from-source-to-target

## Description

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:**

![](https://assets.leetcode.com/uploads/2020/09/28/all_1.jpg)

```
**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:**

![](https://assets.leetcode.com/uploads/2020/09/28/all_2.jpg)

```
**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]]
```

**Example 3:**

```
**Input:** graph = [[1],[]]
**Output:** [[0,1]]
```

**Example 4:**

```
**Input:** graph = [[1,2,3],[2],[3],[]]
**Output:** [[0,1,2,3],[0,2,3],[0,3]]
```

**Example 5:**

```
**Input:** graph = [[1,3],[2],[3],[]]
**Output:** [[0,1,2,3],[0,3]]
```

**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**.

## ac

```java
```
