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Solution: Most Stones Removed with Same Row or Column

Explore how to solve the problem of removing the maximum number of stones from a grid by applying the Union Find pattern. Understand how grouping stones sharing the same row or column forms connected components, and how to calculate the solution efficiently. This lesson guides you through implementing and analyzing the optimized approach, including time and space complexity.

Statement

Given an array of nn stones in a two-dimensional plane, where each stone is represented by a pair of x and y coordinates, find the maximum number of stones we can remove with the following condition:

A stone can be removed if it shares either the same row or the same column with another stone that has not been removed so far.

Stones are provided as an array, stones, of length nn, where stones[i]=[xi,yi]stones[i] = [x_i, y_i] ...