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Class Inheritance Structure The ArrayList class definition is as follows: public class ArrayList<E> extends AbstractList<E> implements List<E>, RandomAccess, Cloneable, java.io.Serializable {} The interfaces implemented by ArrayList have been covered in previous sections, so they won't be elaborated on here. Key Member Va ...

Hash Table Fundamentals The std::unordered_map and std::unordered_set are critical for O(1) average time complexity lookups. When using unordered_map<int, int>, map.find(key) returns an iterator to the entry if present, or map.end() if not. Similarly, unordered_set provides find() and count() methods to verify existence. Array Deduplicati ...

Caching User Organizational Affiliations User organization labels represent frequently accessed data, making them ideal candidates for Redis caching. The List data structure is preferred over Set for this use case due to its underlying implementation combining compressed lists with doubly-linked lists, which provides better memory efficiency a ...

Plane Closest Pair A standard approach utilizes divide and conquer strategies. Sort all points by their x-corodinate recursively split the set into two halves. After solving subproblems, examine points near the dividing line that could potentially form a shorter pair then the current minimum found. const int MAX_PTS = 250005; struct Point { ...

A contiguous list relies on an array as its underlying storage. The elemnets occupy consecutive memory locations, and the logical order matches the physical layout. Unlike a plain array that may need sentinel values to determine usage, this structure tracks element count through an explicit size variable. The following sections walk through a p ...

Overview The FHQ Treap (also known as the Non-Rotational Treap) is a type of randomized binary search tree. Unlike standard AVL or Splay trees that rely on rotations to maintain balance, the FHQ Treap utilizes two fundamental operations: split and merge. By assigning random priorities to nodes, the tree structure maintains the properties of a B ...

Li Chao Segment Tree Problem: Maintain a collection S of linear functions with the following operations: Insert a linear function f(x) = kx + b over a range [l, r] Query maxf∈S f(x) for a given x The naive approach decomposes a linear function's range into O(log n) segment tree nodes and stores all functions at each node. However, this can le ...

Problem Statement A train has n compartments numbered from 1 to n. Each compartment requires a set of items, where item numbers range from 1 to m. A vendor named Alice is assigned to any continuous sequence of compartments to sell goods. For any such sequence, she must prepare all items required by those compartments and create a unique chant f ...

Head PointerThe head pointer serves as the entry point to a linked list. It is a variable that stores the memory address of the first node in the chain. Whether the list is empty or populated, the head pointer itself must exist. It allows the program to locate the start of the data structure, enabling traversal, insertion, and deletion operatio ...

Array FundamentalsAn array is a fixed-size container designed to hold multiple values of the identical data type. Once created, its length cannot change.Declaration SyntaxArrays can be declared using two distinct formats:DataType[] arrayName; // Preferred format DataType arrayName[]; // Alternative formatExamples:double[] measurements; String[] ...