1584. Min Cost to Connect All Points
Medium
30 Points
Array
Union Find
Graph
Minimum Spanning Tree
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.
Examples
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 <= 106All pairs (xi, yi) are distinct.
1584. Min Cost to Connect All Points
Medium
30 Points
Array
Union Find
Graph
Minimum Spanning Tree
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.
Examples
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 <= 106All pairs (xi, yi) are distinct.