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79 articles

dsa8 min read

Reverse Linked List II — In-Place Partial Reversal Explained

Master reversing a subrange of a linked list in-place in a single pass. A classic interview problem at Facebook, Microsoft, and Amazon that tests your pointer manipulation skills and ability to handle complex multi-pointer state.

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dsa8 min read

Reverse Nodes in k-Group — Recursive and Iterative Deep Dive

Master reversing nodes in groups of k in a linked list — the classic hard interview problem asked at Amazon, Google, Facebook, and Microsoft. Learn both the elegant recursive solution and the iterative approach with clear pointer diagrams.

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dsa9 min read

Merge K Sorted Lists — Min-Heap and Divide & Conquer Explained

Master two optimal approaches to merge k sorted linked lists: min-heap for O(n log k) time and divide-and-conquer for O(n log k) with lower constant factors. A top-tier interview problem at Amazon, Google, Facebook, Microsoft, and Uber that tests your mastery of heaps and recursive merging.

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dsa8 min read

Sort List Bottom-Up — O(1) Space Merge Sort on Linked Lists

Master bottom-up merge sort on a linked list for O(n log n) time and O(1) space — eliminating the O(log n) recursive stack. A hard interview problem at Amazon, Google, and Facebook that demonstrates deep understanding of merge sort and linked list mechanics.

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dsa8 min read

LRU Cache — Doubly Linked List + HashMap from Scratch

Build an LRU Cache from scratch using a doubly linked list with sentinel nodes and a HashMap for O(1) get and put operations. The most frequently asked hard design problem at Amazon, Microsoft, Google, and Facebook — explained step by step with diagrams.

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dsa15 min read

Sort Colors [Medium] — Dutch National Flag Algorithm Explained

Master Dijkstra's Dutch National Flag algorithm to sort 0s, 1s, and 2s in a single pass with O(1) space. Understand the three-pointer invariants, the critical bug most candidates make, and how this pattern unlocks a family of partition problems.

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dsa6 min read

Daily Temperatures — Monotonic Stack Next Greater Element [LC 739]

LeetCode 739 — asked at Amazon, Google, and Meta. Find the number of days until a warmer temperature using a monotonic decreasing stack. Store indices not temperatures, pop when current day is warmer, and solve six related problems with the same O(n) pattern.

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dsa5 min read

Task Scheduler — Greedy Formula and Max-Heap Simulation [LC 621]

LeetCode 621 — asked at Google, Meta, and Amazon. Schedule tasks with a cooldown n to minimize total time. Use the greedy formula max(len(tasks), (max_count - 1) * (n + 1) + count_of_max) or simulate with a max-heap and queue — both O(tasks) time.

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dsa6 min read

Maximum Swap — Greedy Last-Occurrence Digit Tracking [LC 670]

LeetCode 670 — asked at Meta and Amazon. Given a non-negative integer, swap at most one pair of digits to get the maximum value. Track the last occurrence of each digit, then greedily find the leftmost position where a larger digit appears later — O(n) time, O(1) space.

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dsa5 min read

Find Peak Element — Binary Search on Slope O(log n) [LC 162]

LeetCode 162 — asked at Google, Meta, and Amazon. Find any peak element in O(log n) using binary search on slope direction. If nums[mid] < nums[mid+1], a peak must exist in the right half — guaranteed by virtual negative infinity at both boundaries.

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dsa6 min read

Trapping Rain Water — Two-Pointer O(n) O(1) [LC 42]

LeetCode 42 — one of the most asked hard problems at Amazon, Google, Microsoft, and Meta. Compute trapped rainwater using two pointers in O(n) time and O(1) space. The key: water at any position is min(left_max, right_max) minus the height. Move the pointer with the smaller max inward.

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dsa16 min read

Minimum Window Substring [Hard] — The Canonical Sliding Window Problem

Master LeetCode 76 — the gold-standard Hard sliding window problem asked at Google, Meta, and Amazon. Learn the "formed" counter trick that reduces window validity checks from O(|t|) to O(1), trace through a full dry run, and avoid the five bugs that most often break this one.

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dsa8 min read

Target Sum — Knapsack Reduction with Sign Assignment

LeetCode 494 Target Sum looks like sign-assignment but reduces to subset-sum count via a beautiful algebra trick. We derive the reduction, build the 1D DP, dry-run a tabulation, and discuss why this O(n * sum) solution beats 2^n brute force at FAANG.

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dsa9 min read

Wildcard Matching — String DP with `?` and `*` Done Cleanly

LeetCode 44 Wildcard Matching is the classic 2D string DP question Meta and Google ask to test recurrence design under tricky base cases. We derive the dp[i][j] transitions for ? and *, dry-run a full table, and finish with a two-pointer optimization that drops memory to O(1).

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dsa10 min read

Count Sub Islands — The AND Logic DFS Mistake Everyone Makes

LC 1905 Count Sub Islands asks how many islands in grid2 are subsets of islands in grid1. The critical trap is short-circuiting DFS on the first invalid cell — you must always complete the traversal to mark the whole island visited, while tracking validity separately.

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dsa7 min read

Clone Graph — Deep Copy with BFS, DFS and HashMap Bookkeeping

Master Clone Graph (LeetCode 133): a FAANG favorite that tests BFS, DFS, graph traversal, hash map state, and cycle handling. We trace it step by step, derive the optimal pattern, and fortify you against the classic mistakes interviewers love to spot.

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dsa9 min read

Brick Wall — Counting Gap Positions With a Frequency Map

Brick Wall teaches the insight of counting the complement — instead of minimizing bricks crossed, maximize gaps hit. Google uses this problem to test whether candidates can reframe a minimization problem as a maximization problem and solve it in O(n) with a frequency map.

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dsa8 min read

Meeting Rooms II — Minimum Conference Rooms via End-Time Heap

Find the minimum number of conference rooms required for all meetings by tracking room availability with a min-heap of end times — a classic interval scheduling problem asked at every major tech company and fundamental to resource allocation.

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dsa9 min read

IPO — Greedy Capital Maximization with Two Heaps

Maximize capital after k IPO investments by unlocking affordable projects into a max-profit heap — a sophisticated two-heap greedy problem asked at Google, Amazon, and Facebook that models real-world portfolio optimization.

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dsa9 min read

Palindrome Linked List — Split, Reverse, Compare in O(1) Space

LC 234 Palindrome Linked List is a popular interview problem at Facebook, Amazon, and Apple that combines three core techniques: fast/slow pointer midpoint finding, in-place list reversal, and two-pointer comparison. Master the O(1) space solution with Python and JavaScript code and a step-by-step dry run.

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dsa8 min read

Intersection of Two Linked Lists — The Two Pointer Length Equalizer

LC 160 Intersection of Two Linked Lists is a popular O(1) space interview question at Amazon, Facebook, and Microsoft. Learn the elegant two-pointer length-equalizer trick, the mathematical proof behind why it works, visual dry run, and Python/JavaScript solutions.

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dsa9 min read

Remove Nth Node From End of List — One-Pass Two-Pointer Solution

LC 19 Remove Nth Node From End of List is a classic one-pass interview problem at Amazon, Google, and Facebook that combines the dummy head sentinel with a two-pointer n-gap technique. Learn the optimal O(n) single-pass solution with Python and JavaScript, step-by-step dry run, and common interview traps.

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dsa8 min read

Odd Even Linked List — Two-Chain In-Place Grouping Explained

LC 328 Odd Even Linked List is a medium interview problem at Facebook, Amazon, and LinkedIn that tests your ability to maintain two separate pointer chains simultaneously. Learn the O(1) space two-chain pattern with Python and JavaScript, a visual dry run, and interview tips.

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dsa8 min read

Reorder List — Split, Reverse, Merge in One Pass

LC 143 Reorder List is a composite interview problem at Facebook, Amazon, and Google that combines three core patterns: fast/slow midpoint finding, in-place second-half reversal, and interleaved merging. Master the O(1) space solution with Python and JavaScript, step-by-step visual trace, and interview approach.

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dsa9 min read

Sort List — Merge Sort on a Linked List Step by Step

LC 148 Sort List is a classic O(n log n) interview problem at Amazon, Google, and Facebook that applies merge sort to a linked list using fast/slow pointer splitting and recursive merging. Learn top-down merge sort with Python and JavaScript, a complete dry run, and the bottom-up O(1) space follow-up.

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dsa8 min read

Copy List with Random Pointer — HashMap Clone and O(1) Space Interleave

LC 138 Copy List with Random Pointer is a medium interview problem at Amazon, Microsoft, and Facebook that requires deep-copying a linked list where each node has a random pointer. Learn the O(n) space hash map approach and the clever O(1) space interleave technique with Python and JavaScript solutions and detailed dry run.

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dsa10 min read

Find the Duplicate Number — Floyd's Cycle Detection on an Array

LC 287 Find the Duplicate Number is a brilliant medium interview problem at Amazon, Google, and Facebook where you find a duplicate in an n+1 integer array in O(1) space by treating the array as an implicit linked list and applying Floyd's cycle detection algorithm. Master the connection between arrays and linked lists with Python and JavaScript solutions and detailed proof.

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dsa9 min read

Sudoku Solver — Constraint Propagation Plus Backtracking

LC 37 Sudoku Solver is the most-asked constraint-satisfaction problem in tech interviews. Master row, column, and box bitsets, MRV heuristic ordering, and the cell-by-cell decision tree that solves any 9x9 grid in milliseconds.

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dsa7 min read

Baseball Game — Stack Simulation for Record Scoring

Simulate a baseball scoring game using a stack to handle score records, doubles, sum operations, and cancellations in O(n) time. A clean stack-simulation problem that tests your ability to model stateful operations with LIFO access.

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dsa7 min read

Decode String — Two-Stack for Nested Encodings

Decode a run-length encoded string with nested brackets like 3[a2[bc]] using two stacks for counts and partial strings. A key FAANG problem testing nested structure parsing with stacks — the same pattern used in expression evaluators and compilers.

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dsa7 min read

Task Scheduler — Greedy Cooldown Formula and Priority Queue

Find the minimum CPU intervals to execute all tasks with cooldown n using a greedy formula based on maximum frequency. A key FAANG problem testing greedy reasoning, frequency counting, and optionally heap-based simulation asked at Amazon, Google, and Facebook.

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dsa6 min read

Binary Tree Maximum Path Sum — LC 124 Hard DFS Interview Classic

LC 124 Binary Tree Maximum Path Sum finds the highest-value path in a binary tree where the path can start and end at any node. The O(n) solution uses a post-order DFS that tracks the global max while returning only one branch to the parent — a critical FAANG interview problem at Amazon, Google, and Facebook.

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dsa6 min read

Serialize and Deserialize Binary Tree — LC 297 FAANG Hard

LC 297 Serialize and Deserialize Binary Tree is a top FAANG hard problem asked at Facebook, Amazon, and Google. The DFS preorder approach with null markers gives a compact O(n) codec; BFS level-order is more intuitive. Both are valid interview answers.

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