Code RoomConnect points minimum cost
MediumPrep Room Coding #861

Connect points minimum cost

CodingAlgorithms & data structuresMid–Senior~30 min

Given a list of points on a 2D plane, the cost to connect two points is the Manhattan distance between them (|x1-x2| + |y1-y2|). Return the minimum total cost to connect all points so that there is exactly one path between any two points (i.e., the minimum spanning tree weight of the complete graph on these points). With 0 or 1 points the cost is 0.

Implement
min_cost_connect_points(points: list[list[int]]) → int
Examples
in[[[0,0],[2,2],[3,10],[5,2],[7,0]]]out20
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 30 min
InputExpectedGot
[[[0,0],[2,2],[3,10],[5,2],[7,0]]]20not run yetsample