Code Room
CodingMediumcod-g887
Subject Max flowLevel Mid–Senior~30 minCommon in Algorithms & data structures interviewsIndustries Software development, Telecom

Question

You are given a directed graph on n nodes (0..n-1) as edges [u, v], a source s, and a target t. Find the maximum number of edge-disjoint paths from s to t: paths that may share nodes but where no directed edge is used by more than one path. Return that maximum count (0 if t is unreachable or s == t). Constraints: up to 60 nodes; parallel edges allowed.

Implement
max_disjoint_paths(n: int, edges: list[list[int]], s: int, t: int) → int
Examples
in[4,[[0,1],[0,2],[1,3],[2,3]],0,3]out2
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.

Vibe coding: describe the solution in plain language (or narrate it) and the coach grades your approach. Generating runnable code from your description is coming next.

Run or narrate your approach, then ask the coach.