39 lines
1.1 KiB
Markdown
39 lines
1.1 KiB
Markdown
---
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source:
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platform: leetcode
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problemId: 1584
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tags: graphs, prims-algorithm
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---
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You are given an array `points` representing integer coordinates of some points on a 2D-plane, where `points[i] = [xi, yi]`.
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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`.
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Return _the minimum cost to make all points connected._ All points are connected if there is **exactly one** simple path between any two points.
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**Example 1:**
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Input: points = [[0,0],[2,2],[3,10],[5,2],[7,0]]
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Output: 20
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Explanation:
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We can connect the points as shown above to get the minimum cost of 20.
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Notice that there is a unique path between every pair of points.
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**Example 2:**
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Input: points = [[3,12],[-2,5],[-4,1]]
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Output: 18
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**Constraints:**
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* `1 <= points.length <= 1000`
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* `-106 <= xi, yi <= 106`
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* All pairs `(xi, yi)` are distinct.
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https://leetcode.com/problems/min-cost-to-connect-all-points/
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