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Grokking the Coding Interview Patterns

Solution: Regions Cut by Slashes

Explore how to apply the union find algorithm to solve the problem of counting regions formed by slashes in a grid. Understand splitting each grid cell into four parts, merging them based on slash patterns, and connecting adjacent cells. This lesson guides you through the detailed algorithm, implementation, and complexity analysis to master this graph-based problem.

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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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