Divide & Conquer: The Strategy Behind the Fastest Algorithms
Divide and conquer is behind merge sort, binary search, and fast power. Master the split-solve-merge pattern and the Master Theorem for complexity analysis in one focused post.
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Divide and conquer is behind merge sort, binary search, and fast power. Master the split-solve-merge pattern and the Master Theorem for complexity analysis in one focused post.
Greedy algorithms are easy to implement but hard to justify. Learn the exchange argument, the 5 greedy patterns, and when greedy fails so you know to reach for DP instead.
DP is not about memorizing problems. Recognize two signals — optimal substructure and overlapping subproblems — then apply 6 patterns that make DP finally approachable.
Every recursive solution is secretly a tree traversal. Once you see that, pruning becomes obvious. Master the backtracking template and 4 problem types found in every interview.
Sorting and binary search hide inside half your interview solutions. Master every sort variant, binary search on answer space, and the 3 patterns that turn O(n²) into O(n log n).
Trees are the most-tested structure in FAANG interviews. Master DFS, BFS, all traversals, LCA, path sums, and BST validation with a recursive framework that makes it click.
Graphs intimidate more than any other topic — but most problems use just 4 techniques. Master BFS, DFS, topological sort, and union-find with a clear decision framework.
Stacks feel easy until the interviewer asks for a queue using two stacks. Learn the monotonic stack, deque patterns, and the BFS connection that unlocks hard O(n) solutions.
Linked lists look simple until live pressure hits. Master reversal, cycle detection, the runner technique, and merging — with the mental model that kills null pointer errors.
The hash map improves interview performance more than any other structure. Learn how it works, when O(1) breaks, and the 5 patterns covering 80% of hash-related problems.
Arrays and strings appear in 40%+ of interviews and hide surprising complexity. Master prefix sums, sliding windows, two pointers, and in-place tricks that turn O(n²) into O(n).
Every interview problem hides one of 14 patterns. Stop grinding LeetCode blind — recognize the right pattern in 30 seconds with trigger signals, templates, and a decision tree.
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