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Problem: Most Stones Removed with Same Row or Column

Medium
30 min
Explore how to apply Union Find to solve the problem of removing the maximum number of stones from a grid where stones can be removed if sharing a row or column. Understand the problem constraints, develop an approach to represent stones and connections, and implement an efficient solution to maximize removals.

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] represents the ithi^{th} stone. Return the maximum possible number of stones that can be removed.

Constraints:

  • 11\leq stones.length 1000\leq 1000
  • 0xi,yi500\leq x_i, y_i \leq50
Problem
Ask
Submissions

Problem: Most Stones Removed with Same Row or Column

Medium
30 min
Explore how to apply Union Find to solve the problem of removing the maximum number of stones from a grid where stones can be removed if sharing a row or column. Understand the problem constraints, develop an approach to represent stones and connections, and implement an efficient solution to maximize removals.

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] represents the ithi^{th} stone. Return the maximum possible number of stones that can be removed.

Constraints:

  • 11\leq stones.length 1000\leq 1000
  • 0xi,yi500\leq x_i, y_i \leq50