Search⌘ K
AI Features

Solution: Most Stones Removed with Same Row or Column

Explore how to apply the union find algorithm to group stones sharing rows or columns and determine the maximum stones removable under given constraints. Understand the optimized method to merge stones into connected components, reducing complexity from a naive approach to nearly linear time, and gain insights into implementing this algorithm effectively.

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] ...