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Solution: Regions Cut by Slashes

Explore how to apply the union find pattern to solve the problem of counting regions cut by slashes in an n by n grid. Understand the method of dividing each grid square into four parts, merging regions based on slash characters, and connecting neighboring boxes. This lesson teaches you to implement an efficient algorithm to find distinct connected components, with insights into time and space complexity for practical coding interview preparation.

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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