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Solution: Regions Cut by Slashes

Explore how to solve the problem of counting regions cut by slashes in an n x n grid using the union find pattern. Learn to divide each grid square into four parts, merge them based on slash characters, and connect neighboring boxes. Understand the algorithm's implementation, time complexity, and space complexity to efficiently determine the number of distinct regions.

Statement

An n×nn \times n grid is composed of nn, 1×11 \times 1 squares, where each 1×11 \times 1 square consists of a “/”, “\”, or a blank space. These characters divide the square into adjacent regions.

Given the grid represented as a string array, return the number of regions.

Note:

  1. Backslash characters are escaped, so “\” is represented as “\\”.
  2. A 1×11 \times 1 square in the grid will be referred to as a box.

Constraints:

  • The grid consists of only “/”, “\”, or " " characters.
  • 1 \leq grid.length \leq
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