We are running a low-latency packet ring buffer service in C++ and Go. Whenever an offset wraps around, we need to rotate a large integer array (up to 10 million elements) by k positions to the right. The standard way people ...Read more
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We are building an in-memory session cache for an API gateway handling 50k requests/sec. We need an LRU (Least Recently Used) cache where both get() and put() operations happen strictly in O(1) time. A lot of implementations I see online either ...Read more
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
In our embedded C++ runtime, each thread has a strictly limited stack frame (64KB). When traversing deeply skewed binary trees with millions of nodes, recursive DFS triggers a stack overflow, and allocating an explicit heap stack (std::vector) exceeds our device ...Read more
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
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
Given an integer array, we need to find two numbers whose bitwise XOR (A ^ B) is maximized. The brute force approach tests all pairs in O(N^2), which is way too slow when N = 100,000. People recommend building a Binary ...Read more
The standard DP solution for Longest Increasing Subsequence (LIS) uses two nested loops: for each element i, scan all previous elements j < i. That takes O(N^2) time, which times out when N = 100,000. Everyone says the optimal solution is ...Read more