Grokking Graph Algorithms for Coding Interviews
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Min Cost to Connect All Points (medium)
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Problem Statement

You are given an array points representing integer coordinates of some points on a 2D-plane, where points[i] = [x<sub>i</sub>, y<sub>i</sub>].

The cost of connecting two points [x<sub>i</sub>, y<sub>i</sub>] and [x<sub>i</sub>, y<sub>i</sub>] is the Manhattan distance between them: |x<sub>i</sub> - x<sub>i</sub>| + |y<sub>i</sub> - y<sub>i</sub>|, where |val| denotes the absolute value of val.

Return the `minimum cost

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