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Data Structures & Algorithms

Master core and advanced data structures and algorithms with production-grade implementations, hardware-conscious optimizations, and real-world system designs.

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Abhishek
AbhishekBegginer
Asked: September 11, 2026In: Data Structures & Algorithms, Stacks, Queues & Ring Buffers

Daily Temperatures: How to use an Index-Tracking Monotonic Stack for next warmer day in O(N)

Given an array of integers temperatures, we need to return an array answer such that answer[i] is the number of days you have to wait after the i-th day to get a warmer temperature. If there is no future day ...Read more

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abderahman
abderahman
Asked: September 11, 2026In: Data Structures & Algorithms, Stacks, Queues & Ring Buffers

How does a Monotonic Stack solve Largest Rectangle in Histogram in a single pass?

I understand how to solve the Largest Rectangle in Histogram in O(N^2) by expanding left and right from every bar. But top interviewers and competitive programming platforms always expect the O(N) single-pass Monotonic Stack solution. Every explanation I read online just ...Read more

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abderahman
abderahman
Asked: September 11, 2026In: Data Structures & Algorithms, System-Scale & Probabilistic Structures

How does a Count-Min Sketch estimate heavy-hitter item frequencies under bounded RAM?

We are building a DDoS mitigation filter monitoring billions of network packets per minute. We need to count the frequency of each source IP address in real-time to detect anomalous spikes. Using a standard hash map of counters would require tens ...Read more

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Ahmedelkomy
Ahmedelkomy
Asked: September 11, 2026In: Data Structures & Algorithms, Greedy & Resource Allocation

Task Scheduler with Cooldowns: Closed-form mathematical formula vs Priority Queue simulation

Given a characters array tasks representing the tasks a CPU needs to do, and a cooldown integer n, each task takes 1 CPU interval. Identical tasks must be separated by at least n cooldown intervals. Most people simulate this using a ...Read more

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Abhishek
AbhishekBegginer
Asked: September 11, 2026In: Binary Search & Monotonic Spaces, Data Structures & Algorithms

Binary Search on Answer: How to solve Koko Eating Bananas without floating-point bugs?

I’m trying to master the pattern known as Binary Search on the Answer Space. In problems like Koko Eating Bananas (or Ship Packages within D Days), we search for a minimum speed k that satisfies a time limit h. However, when ...Read more

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aarav0
aarav0
Asked: September 11, 2026In: Advanced DP: Bitmask & Tree DP, Data Structures & Algorithms

Traveling Salesperson Problem: How does Bitmask DP reduce (N – 1)! factorial to O(N^2 * 2^N)?

We are building an autonomous drone route planner that must visit N = 20 delivery drop points with minimum total travel distance. Brute-force testing all permutations is (N - 1)!. For N = 20, $19! pprox 1.21 imes 10^{17}$, which would ...Read more

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Abhishek
AbhishekBegginer
Asked: September 11, 2026In: Data Structures & Algorithms

Next.js 15: Error: Route used “params” without awaiting it (Asynchronous Page Props Fix)

After upgrading my application to Next.js 15 (Release Candidate / Stable) and React 19, my dynamic routing pages crashed with the runtime error: Error: Route "/blog/[slug]" used `params.slug`. `params` should be awaited before ...Read more

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Ahmedelkomy
Ahmedelkomy
Asked: September 11, 2026In: Data Structures & Algorithms, Graphs & Network Topologies

Why does standard std::priority_queue in Dijkstra cause memory bloating, and how to fix it?

When implementing Dijkstra’s algorithm for large road networks (millions of nodes and edges), the standard textbook approach pushes a new pair (new_dist, u) into a binary heap whenever a shorter path is found. This means old, obsolete distance pairs remain sitting ...Read more

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Abhishek
AbhishekBegginer
Asked: September 11, 2026In: Arrays, Strings & Cache Memory, Data Structures & Algorithms

How does the Dutch National Flag 3-way partition work in a single pass with zero branch mispredictions?

We are optimizing the quicksort partitioning step in a low-latency trading engine where arrays contain a huge number of duplicate keys (e.g. 0s, 1s, and 2s representing order statuses). Standard Lomuto or Hoare partitioning degrades to O(N^2) when all elements are ...Read more

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Ahmedelkomy
Ahmedelkomy
Asked: September 11, 2026In: Arrays, Strings & Cache Memory

Why does std::views::filter on temporary containers trigger undefined behavior and dangling references in C++20?

I wrote the following modern C++20 pipeline to filter records returned by a database query helper function: #include <iostream> #include <vector> #include <ranges>std::vector<int> getTemperatures() { return {18, 25, 32, 14, 29, 36}; }int ...Read more

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