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Grokking the Coding Interview Patterns in Python

Solution: Regions Cut by Slashes

Explore a solution to count regions cut by slashes in an n by n grid using the union find pattern. Understand how dividing each box into four parts and merging regions based on slash characters helps determine connected components efficiently. Gain insight into the algorithm’s time and space complexity to apply these concepts in coding interviews.

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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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