Code Room
CodingHardcod-g699
Subject Max flowLevel Senior–Staff~40 minCommon in Algorithms & data structures interviewsIndustries Software development, Telecom

Question

A network is modeled as an undirected graph on n nodes (0..n-1) given by an edge list (each edge is a bidirectional link of capacity 1). Return the local edge connectivity between s and t: the minimum number of links you must cut to disconnect s from t. By Menger's theorem this also equals the maximum number of edge-disjoint s-t paths. Constraints: 1 <= n <= 300; edges may include parallel links.

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