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HomeLeetCode ProblemsLogical OR of Two Binary Grids Represented as Quad-Trees
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How to Solve Logical OR of Two Binary Grids Represented as Quad-Trees Problem

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Medium#558
LeetCode Problem

Logical OR of Two Binary Grids Represented as Quad-Trees

A Binary Matrix is a matrix in which all the elements are either 0 or 1. Given quadTree1 and quadTree2. quadTree1 represents a n * n binary matrix and quadTree2 represents another n * n binary matrix. Return a Quad-Tree representing the n * n binary matrix which is the result of logical bitwise OR of the two binary matrixes represented by quadTree1 and quadTree2. Notice that you can assign the value of a node to True or False when isLeaf is False, and both are accepted in the answer. A Quad-Tree is a tree data structure in which each internal node has exactly four children. Besides, each node has two attributes: We can construct a Quad-Tree from a two-dimensional area using the following steps: If you want to know more about the Quad-Tree, you can refer to the wiki. Quad-Tree format: The input/output represents the serialized format of a Quad-Tree using level order traversal, where null signifies a path terminator where no node exists below. It is very similar to the serialization of the binary tree. The only difference is that the node is represented as a list [isLeaf, val]. If the value of isLeaf or val is True we represent it as 1 in the list [isLeaf, val] and if the value of isLeaf or val is False we represent it as 0.

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Problem Breakdown

Understanding the Logical OR of Two Binary Grids Represented as Quad-Trees Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

A Binary Matrix is a matrix in which all the elements are either 0 or 1. Given quadTree1 and quadTree2. quadTree1 represents a n * n binary matrix and quadTree2 represents another n * n binary matrix. Return a Quad-Tree representing the n * n binary matrix which is the result of logical bitwise OR of the two binary matrixes represented by quadTree1 and quadTree2. Notice that you can assign the value of a node to True or False when isLeaf is False, and both are accepted in the answer. A Quad-Tree is a tree data structure in which each internal node has exactly four children. Besides, each node has two attributes: We can construct a Quad-Tree from a two-dimensional area using the following steps: If you want to know more about the Quad-Tree, you can refer to the wiki. Quad-Tree format: The input/output represents the serialized format of a Quad-Tree using level order traversal, where null signifies a path terminator where no node exists below. It is very similar to the serialization of the binary tree. The only difference is that the node is represented as a list [isLeaf, val]. If the value of isLeaf or val is True we represent it as 1 in the list [isLeaf, val] and if the value of isLeaf or val is False we represent it as 0.

MediumProblem #558
LeetCode

Logical OR of Two Binary Grids Represented as Quad-Trees

Related Topics

Divide and ConquerTree

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Examples

# Example 1

Input
—
Output
—

# Example 2

Input
quadTree1 = [[0,1],[1,1],[1,1],[1,0],[1,0]] , quadTree2 = [[0,1],[1,1],[0,1],[1,1],[1,0],null,null,null,null,[1,0],[1,0],[1,1],[1,1]]
Output
[[0,0],[1,1],[1,1],[1,1],[1,0]]

# Example 3

Input
quadTree1 = [[1,0]], quadTree2 = [[1,0]]
Output
[[1,0]]

Constraints

quadTree1 and quadTree2 are both valid Quad-Trees each representing a n * n grid.
n == 2x where 0 <= x <= 9.

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Solve Logical OR of Two Binary Grids Represented as Quad-Trees — A Binary Matrix is a matrix in which all the elements are either 0 or 1. Given q...

Here's the optimal approach using Divide and Conquer:

def solve(input):
# Optimal O(n) solution
return result

Time: O(n)  |  Space: O(n)

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Frequently Asked Questions

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How does Phantom Code help me solve coding problems like Logical OR of Two Binary Grids Represented as Quad-Trees during interviews?
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What if the interviewer asks follow-up questions or modifications to problems like Logical OR of Two Binary Grids Represented as Quad-Trees?
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Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
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Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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How does Phantom Code help when I'm struggling with Logical OR of Two Binary Grids Represented as Quad-Trees style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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