Efficient Array Algorithms: Two Pointers, Sliding Windows, and Matrix Simulation

Squares of a Sorted Array (LeetCode 977) The challenge in squaring a sorted array that contaisn negative numbers is that the largest squares can appear at both ends of the array. While a naive solution involves squaring every element and then sorting the array in $O(n \log n)$ time, a more efficient $O(n)$ approach utilizes the two-pointer tech ...

Posted on Wed, 20 May 2026 06:33:31 +0000 by jskywalker

Core Data Structure Interview Questions and Algorithmic Solutions

Stack and Queue Fundamentals Stacks and queues share the trait that insertion and deletion occur solely at their endpoints. Typical stack storage models are sequential arrays and linked lists. A stack exhibits last-in-first-out behavior. Linked lists lack random access; elemants must be traversed sequentially. Linked representation simplifies ...

Posted on Wed, 20 May 2026 05:56:52 +0000 by Adam W

Dynamic Programming: Core Concepts and Algorithmic Implementations

Understanding Dynamic Programming Dynamic programming (DP) is an optimization technique used to solve complex problems by breaking them into simpler subproblems. It stores the results of subproblems to avoid redundant computations, thereby improving efficiency. This article explores fundamental DP concepts and implementations through various al ...

Posted on Wed, 20 May 2026 00:48:10 +0000 by saint959

Solutions for Codeforces Round 997 (Div. 2) Problems

Problem Link Approach: For this problem, we need to calculate the perimeter of a shape formed by moving right and up. The perimeter can be determined using the formula: ((steps_up + width) + (steps_right + width)) * 2. This accounts for the outer boundaries of the shape. Solution Code: #include <iostream> using namespace std; typedef lo ...

Posted on Tue, 19 May 2026 23:19:15 +0000 by MoombaDS

LFU Cache Algorithm Implementation Analysis

Introduction to LFU Caching LFU (Least Frequently Used) is a caching algorithm that removes the least frequently accessed items when the cache reaches its capacity. Unlike LRU (Least Recently Used), which considers only recency, LFU prioritizes access frequency. Comparison of LFU and LRU Consider a cache with capacity 3 and the following access ...

Posted on Tue, 19 May 2026 20:46:03 +0000 by stylefrog

Quick Sort Algorithm: Implementation and Optimization Strategies

Algorithm OverviewQuick Sort, often referred to as Hoare Sort, operates on a divide-and-conquer principle similar to the pre-order traversal of a binary tree. The core objective is to place a selected pivot element into its final sorted position while ensuring all elements to its left are smaller and all elements to its right are larger. This p ...

Posted on Tue, 19 May 2026 10:57:36 +0000 by PHPFEEDER

Practical Exercises on Recursion and Iteration in C Programming

Printing Individual Digits of an Integer The following recursive function separates and prints each digit of an unsigned integer. #include <stdio.h> void displayDigits(unsigned int num) { if (num > 9) { displayDigits(num / 10); } printf("%u ", num % 10); } int main() { unsigned int value = 0; ...

Posted on Tue, 19 May 2026 07:47:50 +0000 by CarbonCopy

Binary Search Algorithm Deep Dive

Binary Search Fundamentals Problem Statement Given a sorted array of n integers in ascending order and a target value, implement a function that searches for the target in the array. Return the index if the target exists, otherwise return -1. Constraints: All elements in the array are unique n ranges from [1, 10000] Each element falls within [ ...

Posted on Mon, 18 May 2026 07:53:59 +0000 by sgoku01

Algorithms from an Algorithmic Winter Training Camp

Balanced String Analysis (Simple and Extended) Problem Statement We need to analyze strings composed of 0, 1, and ?. The question marks can be replaced with either 0 or 1. The goal is to compute how many valid configurations result in "balanced" strings according to a specific criterion. Simple Approach For small lengths, a brute-forc ...

Posted on Mon, 18 May 2026 05:19:55 +0000 by dodgyJim

Strategies for Locating Proximal Values in Python Datasets

Numerical proximity queries arise frequently in computational tasks. Often, the objective involves identifying the array entry situated closest to a specific target point. Various implementation strategies are available depending on whether the data is static or dynamic. Naive Iteration A fundamental approach involves calculating the absolute d ...

Posted on Sun, 17 May 2026 18:00:23 +0000 by edcaru