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Solution: Regions Cut by Slashes

Explore how to use the union-find pattern to solve the regions cut by slashes problem on an n×n grid. Learn to divide each cell into four parts, merge according to slashes or spaces, and connect neighboring parts to count distinct regions. Understand the algorithm's logic, implementation, and computational complexity to effectively apply this technique in coding interviews.

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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