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1584. Min Cost to Connect All Points
Description
You are given an array points
representing integer coordinates of some points on a 2D-plane, where points[i] = [xi, yi]
.
The cost of connecting two points [xi, yi]
and [xj, yj]
is the manhattan distance between them: |xi - xj| + |yi - yj|
, where |val|
denotes the absolute value of val
.
Return the minimum cost to make all points connected. All points are connected if there is exactly one simple path between any two points.
Example 1:
Input: points = [[0,0],[2,2],[3,10],[5,2],[7,0]] Output: 20 Explanation: We can connect the points as shown above to get the minimum cost of 20. Notice that there is a unique path between every pair of points.
Example 2:
Input: points = [[3,12],[-2,5],[-4,1]] Output: 18
Constraints:
1 <= points.length <= 1000
-106 <= xi, yi <= 106
- All pairs
(xi, yi)
are distinct.