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Regions Cut by Slashes

Explore how to apply the union find algorithm to determine the number of adjacent regions created by slashes in an n by n grid. This lesson guides you through understanding the problem, visualizing the grid, and implementing a solution that handles complex adjacency conditions, helping you solve similar graph-based challenges 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 adjacent 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 the “/”, “\”, or " " characters.
  • 1 \leq grid.length \leq 30

The following illustration shows how the grid can be visualized:

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Examples

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Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

Regions Cut By Slashes

1.

What is the output if the following grid is given as input?

grid = ["\\/", “/\\”]

A.

2

B.

3

C.

4

D.

5


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Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.

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Try it yourself

Implement your solution in RegionCut.java in the following coding playground. You will need the provided supporting code to implement your solution.

Java
usercode > RegionCut.java
/*
⬅️ We have provided a UnionFind.java file under the "Files" tab
of this widget. You can use this file to build your solution.
*/
import org.apache.commons.text.*;
public class RegionCut{
public static int regionsBySlashes(String[] grid) {
// Replace this placeholder return statement with your code
return -1;
}
}
Regions Cut by Slashes