Fading Coder

One Final Commit for the Last Sprint

Algorithmic Solutions for the YsOI2023 Contest

Task 1: Bitwise Manipulation Strategy The objective involves transforming an integer based on specific bitwise properties. The core logic requires isolating the odd component of the input value by shifting out trailing zeros. Once the odd base is identified, it is shifted left by a count derived fro...

Algorithmic Problem Set Solutions: From Basics to Advanced Data Structures

Problem 1: Unique Element Extraction The task requires reading a sequence of integers and printing each distinct value exactly once in the order of their first appearance. A hash-based container provides an efficient way to track visited numbers. #include <iostream> #include <unordered_set&...

AtCoder Beginner Contest 050 Problem Solutions

The input consists of an arithmetic expression in the form a + b or a - b. Parse the expression and output the computed result. int main() { int operand1, operand2; char operation; std::cin >> operand1 >> operation >> operand2; if (operation == '+') { std::cout << operand1 +...

Advanced Range Query Techniques: Sqrt Decomposition and Mo's Algorithm Enhancements

Optimizing Subarray Frequency Queries Determining the most frequent element's count within arbitrary subranges presents a challenge for standard data structures due to non-additive merge properties. While segment trees struggle here, offline processing via Mo's algorithm (square root decomposition o...

Competitive Programming Contest Problems and Solutions

A. Triangle Construction with Guaranteed Validity Given four strictly increasing integers a < b < c < d, select three values x, y, z such that they form a non-degenerate triangle — i.e., satisfy the strict triangle inequality x + y > z. Since all inputs are ordered, the safest choice is...

Solving Linear Congruence Equations with Extended Euclidean Algorithm

The Extended Euclidean Algorithm is a fundamental tool for solving linear Diophantine equations of the form ax + by = gcd(a, b). This technique is frequently required in competitive programming to solve problems involving modular arithmetic and periodic patterns, such as the classic "Frog's Mee...

Meituan 2024 Spring Campus Recruitment - Software Engineering Positions - First Round Online Assessment

Problem Set Overview This article presents solutions to five algorithmic problems from Meituan's 2024 Spring campus recruitment online assessment for software engineering positions. Each problem requires specific algorithmic techniques ranging from prefix sum optimization to union-find data structur...

HTTP Header Parsing and Tree-Based MEX Queries in Competitive Programming

This article presents concise, robust solutions to two distinct algorithmic problems from a competitive programming context: parsing and decoding HTTP-like header structures using Huffman tree reconstruction, and computing the minimum excluded value (MEX) on tree paths via persistent segment trees....

Interval DP Solution for Splitting and Merging Problem

Problem Analysis This problem requires splitting and merging intervals with maximum profit. The solution naturally fits the interval dynamic programming paradigm. DP Formulation For any interval [l, r], we choose a split point j (where l ≤ j < r) and split it into two subintervals: [l, j] and [j+...

Efficient Conflict Resolution in Array Pairing Problems

D. Prefix Reversal Construction A palindrome insertion strategy can transform any sequence by reversing prefixes. Inserting a pattern like abc...cba after a prefix abc... effectively reverses that prefix while leaving subsequent elements unchanged. Key insight: Two flip operations suffice for transf...