public class Solution
extends Object
1584 - Min Cost to Connect All Points\.
Medium
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.