Rust Box: Heap Allocation and Recursive Types
You’ll reach for Box in three primary scenarios: when you have data too large for the stack, when you need recursive data structures, or when you want trait objects with dynamic dispatch. Let’s…
Heap
Priority Queue: Binary Heap Implementation
A priority queue is an abstract data type where each element has an associated priority, and elements are served based on priority rather than insertion order. Unlike a standard queue’s FIFO…
Read more →Pairing Heap: Self-Adjusting Heap Structure
Binary heaps are the workhorse of priority queue implementations. They’re simple, cache-friendly, and get the job done. But when you need better amortized complexity for decrease-key operations—think…
Read more →Memory Allocation: Stack vs Heap
Every program you write consumes memory. Where that memory comes from and how it’s managed determines both the performance characteristics and the correctness of your software. Get allocation wrong,…
Read more →Heap Operations: Insert, Delete, and Heapify
A heap is a complete binary tree stored in an array that satisfies the heap property: every parent node is smaller than its children (min-heap) or larger than its children (max-heap). This structure…
Read more →Heap Sort: Using Binary Heap for Sorting
Heap sort is a comparison-based sorting algorithm that leverages the binary heap data structure to efficiently organize elements. Unlike quicksort, which can degrade to O(n²) on adversarial inputs,…
Read more →Go Memory Management: Stack vs Heap Allocation
Go abstracts away manual memory management, but that doesn’t mean you should ignore where your data lives. Every variable in your program is allocated either on the stack or the heap, and this…
Read more →Fibonacci Heap: Amortized Efficient Priority Queue
Binary heaps are the workhorse of priority queue implementations. They’re simple, cache-friendly, and offer O(log n) for insert, extract-min, and decrease-key. But that decrease-key complexity…
Read more →D-ary Heap: Generalized Binary Heap
A d-ary heap is exactly what it sounds like: a heap where each node has up to d children instead of the binary heap’s fixed two. When d=2, you get a standard binary heap. When d=3, you have a ternary…
Read more →Binomial Heap: Mergeable Priority Queue
Priority queues are fundamental data structures, but standard binary heaps have a critical weakness: merging two heaps requires O(n) time. You essentially rebuild from scratch. For many…
Read more →Binary Heap: Min-Heap and Max-Heap Implementation
A binary heap is a complete binary tree that satisfies the heap property. ‘Complete’ means every level is fully filled except possibly the last, which fills left to right. The heap property defines…
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