LeetCode 802, Medium. Topics: Depth-First Search, Breadth-First Search, Graph Theory, Topological Sort. View on LeetCode.
Generate this problem as a practice environment: tested reference solution, 12 parametrized pytest cases, and a playground notebook:
Problem
There is a directed graph of n nodes with each node labeled from 0 to n - 1. The graph is represented by a 0-indexed 2D integer array graph where graph[i] is an integer array of nodes adjacent to node i, meaning there is an edge from node i to each node in graph[i].
A node is a terminal node if there are no outgoing edges. A node is a safe node if every possible path starting from that node leads to a terminal node (or another safe node).
Return an array containing all the safe nodes of the graph. The answer should be sorted in ascending order.
Examples
Constraints
- n == graph.length
- 1 <= n <= 10^4
- 0 <= graph[i].length <= n
- 0 <= graph[i][j] <= n - 1
- graph[i] is sorted in a strictly increasing order.
- The graph may contain self-loops.
- The number of edges in the graph will be in the range [1, 4 * 10^4].
Solution
Reference implementation from solution.py on GitHub, full suite in test_solution.py:
Complexity
NeetCode All. Last modified on September 7, 2026