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Grokking the Coding Interview Patterns in C++

Solution: Regions Cut by Slashes

Explore the solution for counting regions cut by slashes in a grid by applying the union-find pattern. Understand how to divide each grid cell into segments and merge them based on slashes to find connected regions. This lesson helps you use union-find to solve graph connectivity problems efficiently and analyze the time and space complexity of the approach.

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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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