Question
Given an undirected weighted graph on n nodes (n >= 2) as edges [u, v, w] with positive integer weights (parallel edges allowed, their weights add), find the global minimum cut: partition the nodes into two non-empty groups so that the total weight of edges crossing the partition is minimized, over all possible partitions (there is no fixed source or sink). Return that minimum crossing weight. A disconnected graph has a cut of 0. Constraints: 2 <= n <= 60.
global_min_cut(n: int, edges: list[list[int]]) → int[4,[[0,1,3],[1,2,1],[2,3,3],[0,3,1],[1,3,2]]]out4State 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.