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Solution: Regions Cut by Slashes

Understand how to apply the union-find pattern to solve the regions cut by slashes problem on an n by n grid. Explore dividing each grid cell into four parts, merging based on slashes or spaces, and connecting neighboring cells to count distinct regions efficiently.

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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