Array Manipulation Merge Sorted Arrays In-Place Given two integer arrays sorted in non-decreasing order, combine them into a single sorted sequence stored inside the first array. The first array has enough trailing buffer (initialized to zero) to hold all elements from the second array. Start fillin...
Sparse Table (ST) is a data structure for answering range queries on static arrays. It differs from standard dynamic programming approaches by storing information only for intervals with lengths that are powers of two. Standard interval DP might define a state dp[l][r] representing data for the inte...
A doubly circular linked list augmented with a sentinel node (dummy head) represents one of the most robust sequential data structures in low-level programming. Unlike singly linked variants, this architecture maintains bidirectional references and circular connectivity, enabling O(1) operations at...
To implement binary tree operations in C, a queue is used for level - order traversal and checking if a tree is a complete binary tree (unlike C++ which may not need an external queue structure for some operations). Here are the core operations: Constructing a Binary Tree Node The CreateBinaryTree f...
Red-Black Trees are a type of self-balancing binary search tree (BST) that enforce a set of coloring rules to maintain approximate balance, ensuring efficient search, insertion, and deletion operations. Their properties guarantee that the longest path from root to leaf is no more than twice the leng...
Linear data structures fall into two primary categories: contiguous arrays and linked sequences. A linked sequence organizes elements as self-contained units connected via references. Each unit, called a node, holds two parts: stored data and a reference pointing to the subsequent node, with the fin...
Stack A stack is a linear data structure that follows the Last-In-First-Out (LIFO) principle. Only the most recently added element can be accessed or removed. Key Characteristics LIFO behavior: The last element pushed onto the stack is the first one popped off. Single access point: All operations oc...
A stack is a linear data structure adhering to the Last-In-First-Out (LIFO) principle. The top of the stack is where elements are added and removed, while the bottom remains fixed. Common Stack Operations Standard stack operations include push (add to top), pop (remove from top), and peek (inspect t...
LeetCode Problem 206: Reverse Linked List Problem Description: Solution: Using a two-pointer approach with previous and current pointers, iteratively modify pointer directions. Pay atttention to the loop termination condition; return the previous pointer as the new head node. /** * Definition for si...
Consider we have n points indexed from 1 to n, each storing a numeric value. We often need to perform updates or aggregate queries over the continuous subrange [L, R]. The segment tree enables both update and query operations in O(log n) time complexity. The core idea of a segment tree is to recursi...
