Question
You are given an undirected weighted graph on n nodes as edges [u, v, w] with positive integer weights (think of w as a link's congestion), plus a source s and target t. Among all paths from s to t, find one that minimizes its maximum edge weight, and return that minimized maximum (the bottleneck). Return -1 if t is unreachable. Constraints: up to 60 nodes; parallel edges allowed.
min_bottleneck(n: int, edges: list[list[int]], s: int, t: int) → int[4,[[0,1,4],[1,3,4],[0,2,2],[2,3,3]],0,3]out3State 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.