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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

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

Topological Sort: Kahn’s Algorithm (BFS) vs Tarjan’s DFS in massive dependency graphs

We are building a distributed task build engine (similar to Bazel or Make) that resolves dependency trees across 500,000 code packages. Textbooks teach both Kahn’s algorithm (indegree BFS) and DFS post-order reversal. Why do production build systems almost universally prefer Kahn’s ...Read more

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

How does a Fenwick Tree (Binary Indexed Tree) query and update prefix sums in O(log N) using i & (-i)?

We need dynamic prefix sums and range sum queries over a stream of financial ledger transactions where numbers are constantly updated. A standard array has O(1) update but O(N) range sum. A prefix sum array has O(1) range sum but O(N) ...Read more

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aarav0
aarav0
Asked: September 11, 2026In: Bit Manipulation & Low-Level Computing, Data Structures & Algorithms

How to find the Single Number when all others appear 3 times using a Digital Logic State Machine?

When elements in an array appear twice except one, we can simply XOR all numbers together. But what if every element appears three times, except for a single number that appears once? The standard hash-map solution uses O(N) space. How can ...Read more

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Abhishek
AbhishekBegginer
Asked: September 11, 2026In: Data Structures & Algorithms, Two Pointers & Sliding Window

Minimum Window Substring: Why an integer frequency array beats HashMap in low-latency parsers

Given two strings s and t, return the minimum window substring of s such that every character in t (including duplicates) is included in the window. Most tutorials use two hash maps (dict or unordered_map) to track character counts and compare ...Read more

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Ahmedelkomy
Ahmedelkomy
Asked: September 11, 2026In: Data Structures & Algorithms, Hashing & Collision Resolution

Subarray Sum Equals K: Why Two Pointers fails with negative numbers and Hash Map is mandatory

Given an array of integers nums and an integer k, return the total number of subarrays whose sum equals k. Many people try to use a Sliding Window / Two Pointers approach, but it fails whenever the array contains negative numbers. ...Read more

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aarav0
aarav0
Asked: September 11, 2026In: Data Structures & Algorithms, Trees, BSTs & Hierarchical Indexes

Lowest Common Ancestor: Why Binary Lifting in O(log N) beats naive DFS in high-scale DAGs

In standard coding questions, Lowest Common Ancestor (LCA) in a binary tree is solved with post-order recursive DFS in O(N) time. But in production systems (like corporate organization charts or Git commit graph merges), we need to answer thousands of ...Read more

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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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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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abderahman
abderahman
Asked: September 11, 2026In: Data Structures & Algorithms, Heaps & Task Schedulers

How to compute Running Median in continuous data streams with O(log N) per tick?

In our telemetry service, financial tick prices arrive at ~10,000 events/second. We need an online algorithm that can output the exact running median at any moment. Sorting the buffer on every tick is O(N log N), which is impossible at high ...Read more

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