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aarav0

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

PyTorch RuntimeError: CUDA out of memory: Why torch.cuda.empty_cache() fails & how to fix fragmentation

During deep learning training in PyTorch 2.x, my script crashed midway through an epoch with the error: RuntimeError: CUDA out of memory. Tried to allocate 512.00 MiB (GPU 0; 23.69 GiB total capacity; ...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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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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aarav0
aarav0
Asked: September 11, 2026In: Data Structures & Algorithms, Linked Lists & Custom Allocators

Floyd’s Tortoise and Hare: Mathematical proof of why meeting point resolves cycle origin

In Floyd’s Cycle-Finding Algorithm (Tortoise and Hare), slow moves by 1 step and fast moves by 2 steps. If a cycle exists, they are guaranteed to meet. Then comes part 2: to find the start of the cycle (the loop origin), ...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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aarav0
aarav0
Asked: September 11, 2026In: Data Structures & Algorithms, Tries & Prefix Search Engines

How does a 32-bit Binary Trie find the Maximum XOR of Two Numbers in O(N) time?

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

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

How does Brian Kernighan’s bit algorithm work, and why does n & (n – 1) clear the lowest set bit?

In low-level systems programming and coding interviews, people always use the expression n & (n - 1) to count set bits (Hamming Weight) or check if a number is a power of 2. I know it works, but what is the ...Read more

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

How to traverse a Binary Tree in O(1) memory without recursion or stack (Morris Traversal)?

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

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