Code RoomMinimum project duration
HardPrep Room Coding #1489

Minimum project duration

CodingAlgorithms & data structuresSenior–Staff~35 min

You are given a DAG of n tasks (0..n-1) as edges [u, v] meaning task u must complete before task v starts, plus a duration[i] for each task. A task can start only after all its prerequisites finish, and independent tasks run in parallel. Return the minimum total time to finish all tasks (the length of the longest weighted path through the DAG, where a node's weight is its duration). The input is guaranteed acyclic.

Implement
min_project_time(n: int, edges: list[list[int]], duration: list[int]) → int
Examples
in[3,[[0,2],[1,2]],[3,2,5]]out8
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 35 min
InputExpectedGot
[3,[[0,2],[1,2]],[3,2,5]]8not run yetsample