Code RoomMinimum path cover DAG
HardPrep Room Coding #820

Minimum path cover DAG

CodingAlgorithms & data structuresSenior–Staff~45 min

Given a directed acyclic graph with n nodes (0..n-1) and edges [u, v], find the minimum number of vertex-disjoint directed paths needed to cover every vertex exactly once (a single vertex with no edges is a path of length zero). Return that minimum count. The input is guaranteed acyclic. Constraints: 1 <= n <= 300.

Implement
min_path_cover_dag(n: int, edges: list[list[int]]) → int
Examples
in[3,[[0,1],[1,2]]]out1
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

0:00 of about 45 min
InputExpectedGot
[3,[[0,1],[1,2]]]1not run yetsample