Uber | SDE 2 Interview | Hard Question

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SDE 2
March 30, 20254 reads

Summary

I interviewed with Uber for an SDE 2 role and encountered a challenging QuadTree compression problem during a virtual onsite round, ultimately receiving a rejection.

Full Experience

I recently got a chance to interview with Uber for SDE 2 role. I faced a interesting and challenging question in Virtual Onsite round 1.

[QuadTree Compression of a Matrix]

Problem Statement

A QuadTree is a tree data structure in which each internal node is either a leaf node or has exactly four children. QuadTrees are often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions.

Given an n x n matrix of integers, compress it using a QuadTree. A region can be compressed into a single value if all elements in that region are the same.

Example

Input:

|2 | 2 |3 |3| |2 | 2 |3 |3| |4 | 2 |5 |5| |2 | 3 |5 |5|

output:

| | | | 2 | 3 | | | | | 4 | 2 | 5 | | 2 | 3 | |

IMG_9212.jpeg

I gave recursive approach, using quadTree data structure, but interviewer doesnt seemed impressed. I got a rejection mail after a day.

Please feel free to post your solution in comments.

Edit: Everyone is using GPT,Bard,etc to solve this problem. Just think of odd size case. Say 6 x 6 -> 3 x 3 -> (?) GPT sucks for such cases.

Follow up: What if given matrix is not square matrix ?

Interview Questions (1)

Q1
QuadTree Compression of a Matrix
Data Structures & AlgorithmsHard

A QuadTree is a tree data structure in which each internal node is either a leaf node or has exactly four children. QuadTrees are often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions.

Given an n x n matrix of integers, compress it using a QuadTree. A region can be compressed into a single value if all elements in that region are the same.

Example

Input:

|2 | 2 |3 |3| |2 | 2 |3 |3| |4 | 2 |5 |5| |2 | 3 |5 |5|

output:

| | | | 2 | 3 | | | | | 4 | 2 | 5 | | 2 | 3 | |

IMG_9212.jpeg

Follow up: What if given matrix is not square matrix ?

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