Algorithms solutions pdf. 1 Prim’s Algorithm 344 Exercises 9.

Algorithms solutions pdf 1 Insertion sort 16 2. 6 Bibliographic Remarks 261 21. My solutions for Algorithms by Dasgupta, Papadimitriou, and Vazirani The intent of this solution key was originally just to practice. hello quizlet Study tools gramming concepts. if you face any problems while understanding the code then please mail me your queries. pdf) or read online for free. Solutions 15-21 Chapter 16: Greedy Algorithms Lecture Notes 16-1 Solutions 16-9 Chapter 17: Amortized Analysis Lecture Notes 17-1 Solutions 17-14 Chapter 21: Data Structures for Disjoint Sets Lecture Notes 21-1 Solutions 21-6 Chapter 22: Elementary Graph Algorithms Lecture Notes 22-1 Solutions 22-13 Chapter 23: Minimum Spanning Trees Lecture S. If Sdoesn’t con-tain any positive instance, the algorithm returns the all-negative hypothesis. This website contains nearly complete solutions to the bible textbook - Introduction to Algorithms Third Edition, published by Thomas H. Or algorithm designer, trying to come up with a good algorithm for the problem, and its opponent (the “adversary”) is trying to come up with an input that will cause the algorithm to run slowly. 006 Introduction to Algorithms. Find Data Structures And Algorithms Problems And Solutions : the very secret society of irregular witches by sangu mandanna the writing on the wall comprehension check Contribute to zhulinn/leetcode-solutions development by creating an account on GitHub. It covers a wide range of data structures and algorithms like arrays :notebook:Solutions to Introduction to Algorithms. Jul 22, 2020 · Alongside the exponential development and application of machine learning algorithms, new ethical problems and solutions relating to their ubiquitous use in society have been proposed. performance of algorithms, using the models to develop hypotheses about performance, and then testing the hypotheses by running the algorithms in realistic contexts. T. Happy solving! 7. 4 10The Upper Confidence Bound Algorithm: Bernoulli Noise29 10. Rivest and Clifford Stein. Now, with expert-verified solutions from Introduction to Algorithms 3rd Edition, you’ll learn how to solve your toughest homework problems. DevSecOps Algorithm Design-Solutions. School of Computer Science homepage at the University of Birmingham. 1 Textbooks (EE)CS majors at Berkeley would find helpful - eherbold/berkeleytextbooks More Algorithms Lecture Notes Both the topical coverage (except for flows) and the level of difficulty of the textbook material (mostly) reflect the algorithmic content of CS 374. 7 Summary 120 7. I hope to organize solutions to help people and myself study algorithms. 1-1 (sorting, optimally multiply matrices, and convex hulls) Sorting is done in all sorts of computational problems. They seldom include as much problem solving as this book does. Lecture Notes. 2 Analyzing algorithms 2. Solutions By company size. 1 9The Upper Confidence Bound Algorithm: Minimax Optimality28 9. %PDF-1. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. 2. V. Our descriptions of algorithms are based on complete implementations and on Mar 7, 2023 · Pdf_module_version 0. 8. algorithms with the top layer as the U face. This document summarizes solutions to 7 problems from the textbook involving dynamic programming. So then a= b 1. (j) T F Suppose a decision problem A has a pseudopolynomial-time algorithm to solve A. 2 k-Means and Other Cost Minimization Clusterings 268 22. org Scanningcenter This are my solutions to different algorithm books. H. (An elementary fact that is often overlooked!) BENEFIT: Enabled a new Age of Algorithm Design. A free electronic version of Jeff Erickson's self-published textbook on algorithms, along with lecture notes for theoretical computer science classes at the University of Illinois. If the algorithm also needed to sort the activ-ities by f Solutions By company size. 7 12The Exp3-IX Algorithm37 12. Always ensure that the PDF files you download are legally available for free. 8 Exercises 123 8 StochasticMethods 125 8. 1) represents a divide-and-conquer algorithm for the inversion-pair problem; note that the algorithm also sorts the input array A. May 7, 2020 · Unformatted text preview: Algorithms by Papdimitriou, Dasgupta, U. If I miss your name here, please pull a request to me to fix. It is this progression of crisp ideas that helps weave the story. By the above claim, this algorithm will produce a legal, optimal solution via a greedy selection of activ-ities. Charting the landscape of approximability of these problems, via polynomial time algorithms, therefore becomes a compelling subject of scientific inquiry in computer science and mathematics. Collection of solutions for the exercises proposed in Udi Manber's book: Introduction to Algorithms -- A Creative Approach. The running time of each algorithm is provided, ranging from O(n) to O(n^2) to O(nkv). - algorithms/1st edition/Algorithms-JeffE. A problem could have a pseudopolynomial-time algorithm and a polynomial-time algorithm. Vazirani - Solutions Raymond Feng August 2017 -1 Introduction My solutions for Algorithms by Papadimitriou, Dasgupta, U. V. 2 Algorithms as a technology 11 2 Getting Started 16 2. 3 %âãÏÓ 1695 0 obj /Linearized 1 /O 1699 /H [ 7548 12887 ] /L 2467545 /E 52219 /N 268 /T 2433525 >> endobj xref 1695 338 0000000016 00000 n 0000007135 00000 n 0000007350 00000 n 0000007491 00000 n 0000020435 00000 n 0000020597 00000 n 0000020683 00000 n 0000020776 00000 n 0000020926 00000 n 0000021053 00000 n 0000021110 00000 n 0000021216 00000 n 0000021314 00000 n 0000021371 00000 x contents 7. The textbook is organized into six chapters: Algorithmic Problem Solving with Python John B. cebu. The algorithm does a single pass over the activities, and thus only requires O(n) time { a dramatic improvement from the trivial dynamic programming solution. 2 Standard notations and common functions 53 4 Divide-and-Conquer 65 4. Mar 26, 2024 · This book is intended for first-year students in the Mathematics and Computer Science Bachelor's program, as well as anyone seeking a solid foundation in algorithms and data structures. The remainder of these notes cover either more advanced aspects of topics from the book, or other topics that appear only in our more advanced algorithms class CS 473. The running time of your algorithm must be polynomial in n. R-5: The Game of Life Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics :notebook:Solutions to Introduction to Algorithms. edu Introduction to Algorithms Third Edition is a comprehensive guide on algorithms and their applications. 4 The Online Perceptron Algorithm 258 21. In fact, any polynomial-time algorithm is also a pseudopolynomial-time algorithm! Welcome. We have utilized the problem-solution format. The orientation of your last layer edges has three possible cases: F R U R' U' F' F U R U' R' F' Do both of the above algorithms Solutions to Algorithms Forth Edition¶ Getting Started¶ This website contains nearly complete solutions to the textbook - Algorithms, 4th Edition, published by Robert Sedgewick and Kevin Wayne. pdf at master · jeffgerickson/algorithms solutions, or show that the problems belong to classes of problems thought not to be efficiently solvable • Analyze algorithms and Python programs using both mathematical tools and basic experiments and benchmarks • Understand several classical algorithms and data structures in depth, and be able to implement these efficiently in Python More Algorithms Lecture Notes Both the topical coverage (except for flows) and the level of difficulty of the textbook material (mostly) reflect the algorithmic content of CS 374. Some of the solutions are modiÞcations of those written over the years by teaching assistants for algorithms courses at MIT and Dartmouth. Problems from Leetcode will be This implies the algorithm runs in time O (M (n) log n). Cormen, Charles E. Introduction to Algorithms uniquely combines rigor and comprehensiveness. Papadimitriou,Umesh Virkumar Vazirani,2006 This text, extensively class- You signed in with another tab or window. It is clear that this algorithm is an ERM. 4 Information Bottleneck* 273 22. 2 357 9. The recurrence for the above algorithm is, T (k) = 2T 2 k + nk 2 By writing the recursion tree, it can be shown that the running time of the algorithm My attempts to solve Algorithms by S. We motivate each algorithm that we address by examining its impact on applications to science, engineering, and industry. Displaying Computer Algorithms - Sahani. This document provides solutions and hints for reinforcement exercises and creativity exercises from Chapter 1 on algorithm analysis from the textbook "Algorithm Design and Applications". Guided textbook solutions created by Chegg experts Learn from step-by-step solutions for over 34,000 ISBNs in Math, Science, Engineering, Business and more 24/7 Study Help 21. Breaking new ground in the theory and practice of computational systems and their applications, the School of Computer Science is a progressive, inclusive department, providing specialist teaching and conducting world-leading research in fundamental and applied computer science. 6 DividedRectangles 108 7. Vazirani 5 9 Coping with NP-completeness 283 9. fr April 7, 2019 IMPORTANT This document is provided to you in printed form, and is intended for you alone. computer science Contribute to 2001204/Data-Structure-and-Algorithms-DSA development by creating an account on GitHub. The book also falls somewhere between the practical nature of a programming book and the heavy theory of algorithm textbooks. 1 NoisyDescent 125 This repository is mostly Java & PHP solutions of HackerRank Algorithms & Data Structures' Questions. 5,11. 1,10. But then I realized that this key was also useful for collaborating with fellow CS170 students as well. In this part of the Now, with expert-verified solutions from Introduction to Algorithms 4th Edition, you’ll learn how to solve your toughest homework problems. There’s no silver bullet in algorithm design, no single problem-solving method that cracks all computational problems. For corrections email raymondhfeng@berkeley. The book teaches a broad variety of algorithms and data structures and pro-vides sufficient information about them that readers can confidently implement, debug, and put them to work in any computational environment. 1 Linkage-BasedClustering Algorithms 266 22. pdf. 77 MB. 1 The Role of Algorithms in Computing 1 The Role of Algorithms in Computing 1. pdf at master - GitHub 2 Algorithms Sanjoy Dasgupta,Christos H. - stegomike/manber-introduction-to-algorithms-solutions main. Dasgupta,C. The Merge operation takes O(nk). Single-sourceshortestpaths: Bellman-FordandDijkstraalgorithms. This document contains selected solutions to exercises and problems in Introduc-tion to Algorithms, Fourth Edition, by Thomas H. 1 f = (g) Since n-100 and n-200 have the same power of n. The PDF format is widely used for creating and sharing electronic documents, as it ensures that the file's content and formatting remain consistent across different devices and platforms. The guide aims to help readers better understand these topics and improve their coding skills in order to solve interview problems. 1 Asymptotic notation 43 3. DPV Solutions PDF refers to a file format used by DPV Solutions, a company that offers document preparation and verification services. Now, with expert-verified solutions from Operations Research: Applications and Algorithms 4th Edition, you’ll learn how to solve your toughest homework problems. An algorithm with good worst-case guarantees is one that performs well no matter what input the adversary chooses. Vazirani Please offer your thoughts and corrections. Schneider Shira Lynn Broschat Jess Dahmen February 22, 2019 Step-by-step video answers explanations by expert educators for all Algorithms 1st by Sanjoy Dasgupta, Christos Papadimitriou, Umesh Vazirani only on Numerade. Hosted online, this catalog compiles a vast assortment of documents, making it a veritable source before downloading Data Structures And Algorithms Problems And Solutions any PDF files. 3 Designing algorithms This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization, etc. 1,9. . 232 kB This document contains solutions to exercises from the book "Algorithm Design" by M. It is structured in a problem-solution format that requires the student to think through the programming process, thus developing an understanding of the underlying theory. Theory of Algorithms (AHU, 1970s; CLR, present day) 7 DRAWBACK: Cannot use to predict performance or compare algorithms. My solutions for Algorithms by Dasgupta, Papadimitriou, and Vazirani - Algorithms_DPV_Solutions/main. Third explore and download free Introduction To The Design And Analysis Of Algorithms Solutions PDF books and manuals is the internets largest free library. , n] of numbers as the input. pdf at master · raymondhfeng/Algorithms_DPV_Solutions practical use. If the true R-5: The Game of Life Bug-tracking for Jeff's algorithms book, notes, etc. 250 kB Class on Design and Analysis of Algorithms, Solutions to Problem Set 9. You signed in with another tab or window. An introduction to Computational Algebraic Geometry and Commutative Algebra. 1 Introduction { complexity 1. Hilaire hilairex@esiee. Problem Set 2 Solutions (PDF) Problem Set 3 Questions (PDF) Since the original textbook does not have a solution manual or answer key, I have taken it upon myself to try to solve as many questions from the book as possible and post implemented solutions and proofs in IPython. 2,11. You switched accounts on another tab or window. Problem Session 1 solutions (PDF) Problem Session 2 questions (PDF) This is not about “heuristic algorithms”, and report on their performance in practice. 006 Introduction to Algorithms, Quiz 3 Solutions. Hope to reorganize solutions to help more people and myself study Contribute to SidharthArya/Solutions development by creating an account on GitHub. Adding three of those together would then be 3a= 3b 3 = 3 = 0b11, which is a two digit number. 2 Kruskal’s Algorithm 351 Disjoint Subsets and Union-Find Algorithms 353 Exercises 9. 1 Prim’s Algorithm 344 Exercises 9. Find step-by-step solutions and answers to Algorithms - 9780073523408, as well as thousands of textbooks so you can move forward with confidence. Vazirani The in- tent of this solution key was originally just to practice. The cases from 3 a 1can be generalized as follows. Access the complete solution set for Cormen’s Introduction to Algorithms (3rd Edition). 1 The maximum-subarray problem 68 Need help solving your 3x3 Rubik’s Cube? Or another Rubik’s puzzle? Explore all our our Solution Guides right here. 1 Jan 11, 2024 · Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. e) Let T ( n ) be the running time of the algorithm on input of size n . Contribute to gzc/CLRS development by creating an account on GitHub. H. f = O(g) Since n 1/2 is smaller than n 2/3 f = (g) Since log n can always be overcome by n above a particular n , and so can Page 4 of 969. File metadata and controls. 221 kB Class on Design and Analysis of Algorithms, Problem Set 1. Find step-by-step solutions and answers to Algorithms - 9780077388492, as well as thousands of textbooks so you can move forward with confidence. archive. It is about algorithms for which exact results are available. 7 Exercises 262 22 Clustering 264 22. It is especially helpful with regard to keeping data in a understood ordering so that other algorithms can then work easily This website contains nearly complete solutions to the bible textbook - Introduction to Algorithms Third Edition, published by Thomas H. py files and 2 . 22 Ppi 360 Rcs_key 24143 Republisher_date 20230307145006 Republisher_operator associate-monalisa-dimol@archive. md) files, this page is much more readable on portable View SOLUTIONS. If you are interested in this project, you could complete problems which are marked "UNSOLVED" in the following list. However, there are some C# solutions. fundamentals of algorithms solutions - Free download as PDF File (. Algorithms are finite processes that if followed will solve the problem. Fox earns by running the obstacle course given the array A[1, 2, . Although you were not required to provide a correctness proof, I have provided one for your benefit. Reload to refresh your session. (a)We propose the following algorithm. Dasgupta, C. Each problem is briefly described, including the recursive formulation and algorithm. f = O(g) Since n 1/2 is smaller than n 2/3 Divide-and-conquer algorithms and the master method. It was typeset using the LaTeX language, with most diagrams done using Tikz. 5 Summary 261 21. 6 Summary 276 jecture that P=NP, their exact solution is prohibitively time consuming. 1 Factorial 1. The “approximation” in the title just opens the range of available algorithms much wider than when we insist on exact solutions. Papadimitriou, and U. pdf. Algorithm textbooks teach primarily algorithm analysis, basic algorithm design, and some standard algorithms and data structures. Computer Vision is the scientific subfield of AI concerned with developing algorithms to extract meaningful information from raw images, videos, and sensor data. 2 Algorithms as a technology Chap 1 Problems Chap 1 Problems 1-1 Comparison of running times 2 Getting Started 2 Getting Started 2. Solution: False. Nov 26, 2018 · Solutions to the exercises of the Algorithms book by Robert Sedgewick and Kevin Wayne (4th editon). 1 To start, the case of b= 2 is proved by rst maximizing the value of the three single digit numbers that are going to be added together, call it a. Problem Set 1 Solutions (PDF) Problem Set 2 Questions (PDF) Problem Set 2 Template (ZIP) This file contains: 2 . 4,10. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. This repository contains nearly complete solutions to the bible textbook - Introduction to Algorithms Third Edition published by Thomas H. pdf - Free download as PDF File (. 1 Algorithms 5 1. The other three Introduction to Algorithms authors—Charles Leiserson, Ron Rivest, and Cliff Stein—provided helpful comments and suggestions for solutions to exercises and problems. Check out the massive collection of 350+ Hackerrank Algorithms problem Solutions in C++. All-pairsshort-estpaths: matrixmultiplicationandJohnson’salgorithms. Leiserson, Ronald L. Algorithms Robert Sedgewick and Kevin Wayne Princeton University FOURTH EDITION Upper Saddle River, NJ • Boston • Indianapolis • San Francisco mathematical idea that makes the algorithm work. 1 (Algorithms) Exercise 1. We found that our students were much more receptive to mathematical rigor of this form. 3 Designing algorithms 29 3 Growth of Functions 43 3. 4 13Lower Bounds: Basic Ideas39 13. 2 Analyzing algorithms 23 2. 1 Insertion sort 2. Algorithms are solutions. Papadimitriou,andU. WIP. txt) or read online for free. 3,10. 2 Hackerrank Algorithms Solutions in C. You signed out in another tab or window. f = Θ(g) Since n-100 and n-200 have the same power of n. It may not be copied, sold (over the internet, in particular) nor redistributed in any form, whatever the reason. Some chapters are collections of problems having a common topic, while others are devoted to one specific algorithm Chapter 1 (The Role of Algorithms in Computing) 1. However, there are a few general algorithm design techniques that find successful ap-plication across a range of different domains. 1. org Republisher_time 719 Scandate 20230226013653 Scanner station09. Advanced algorithms Exercises and solutions X. Rivest, and Clifford Stein, commonly known as CLRS. Maximumflow: Ford as "PDF," users can find websites that offer free PDF downloads on a specific topic. File metadata and Algorithms_DPV_Solutions/main. The approach involves: Algorithms. Our resource for Introduction to Algorithms includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. This book is designed for use in a beginning-level data structures course, or in an intermediate-level introduction to algorithms course. Here am adding all the Hackerrank algorithm problem solutions in c, c++, java, Python, and javascript programming with practical program code examples. 1 348 9. Practice problems and solutions for 6. pdf), Text File (. For a better experience, please refer to the website - CLRS Solutions. This book presents the theory of ap-proximation algorithms as it stands today. Couldn't preview file There was a problem loading this page. This repo needs your help. 006 Introduction to Algorithms, Problem Set 0 Solutions. Algorithms, Das Gupta Papadimitriou Vazirani; Algorithms, Das Gupta Papadimitriou Vazirani Jan 23, 2021 · Saved searches Use saved searches to filter your results more quickly Sep 26, 2024 · The textbook Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne [ Amazon · Pearson · InformIT] surveys the most important algorithms and data structures in use today. Part 4: Last Layer Cross Your first objective is to orient the last layer edge pieces so they all have yellow facing up, forming a yellow cross on the last layer. Grokking Algorithms - An illustrated guide for programmers and other curious people. 3 Spectral Clustering 271 22. Enterprises Small and medium teams Startups Nonprofits By use case. This website contains my takes on the solutions for exercises and problems for the third edition of Introduction to Algorithms authored by Thomas H. 1 Algorithms with Numbers 1. pdf from MATH 113 at Universidad Nacional Autonoma De Nicaragua. Copy path. Our resource for Operations Research: Applications and Algorithms includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. To provide a better perspective on how algorithm problems arise in the real world, we include a collection of “war stories,” or tales from our experience with real problems. With these platforms, the world of PDF downloads is just a click away. A collection of solutions for HackerRank data structures and algorithm problems in Python, JAVA, and CPP. Design an efficient algorithm that computes the largest number of chickens that Mr. I decided to put it online since someone might find it useful and in the hope I get corrected too •Classify algorithms by these costs. While downloading Operations Research Applications And Algorithms Solutions free PDF files is convenient, its important to note that copyright laws must be respected. tex files. Table of Contents. You maybe interested in another repo gitstats which generates repo contribution of CLRS. 218 kB 6. Welcome to my page of solutions to "Introduction to Algorithms" by Cormen, Leiserson, Rivest, and Stein. It includes over 20 solutions to analysis of algorithms exercises involving asymptotic analysis using big-O, big-Omega and other asymptotic notation. Contribute to leewwe/CLRS-2nd development by creating an account on GitHub. Tamassia, published by John Wiley & Sons. com 1 The Role of Algorithms in Computing 5 1. Page 3 of 777 anany-levitin-design-analysis-algorithms-solution-manual - Free download as PDF File (. 8The Upper Confidence Bound Algorithm: Asymptotic Optimality27 8. I found the book to be an excellent resource to learning algorithms and data structures. Computer science can be thought of as the study of algorithms. 1,12. This community is home to the academics and engineers both advancing and applying this interdisciplinary field, with backgrounds in computer science, machine learning, robotics Prologue 0. If P 6=NP, then A is not solvable in polynomial time. 4 Warshall’s and Floyd’s Algorithms 330 Warshall’s Algorithm 330 Floyd’s Algorithm for the All-Pairs Shortest-Paths Problem 334 Exercises 8. 3 Dijkstra Contribute to Shlok-Jain/DasGupta_DSA_with_solutions development by creating an account on GitHub. hello quizlet Study tools 8. These solutions are posted publicly on the MIT Press website. algorithm-essentials-java. 6,11. Introduction To Algorithms Solutions 4 leading algorithms text, with new material on matchings in bipartite graphs, online algorithms, machine learning, and other topics. 4 337 Summary 338 9 Greedy Technique 341 9. However, we must be careful to Solution: Algorithm (1. Breadth of coverage. Once you think about Algorithms in this way, it makes sense to start at the historical be- Contribute to GenoWong/IntroductionToAlgorithms development by creating an account on GitHub. If a positive instance x + appears in S, return the (true) hypothesis h x+. The solutions analyze the time complexity of algorithms and problems involving permutations, matrix Solution: The algorithm divides the problem into two sub-problems which recursively merge k/2 arrays and then merge the results to get a sorted array of size k. 1 Algorithms 1. By using Markdown (. Top. (b)Let 2(0;1), and x the distribution Dover X. Below is the list of the Hackerrank Algorithms problems in various categories. This community-owned project aims to bring together the solutions for the DS & Algo problems across various platforms, along with the resources for learning them. Ideals, Varieties, and Algorithms. . 212 kB 6. We keep the material in algorithmic con- 9781119028611_SolutionManual_ch1 - Free download as PDF File (. In other words, we emphasized rigor over formalism. 5 Nelder-MeadSimplexMethod 105 7. It contains resources, notes, questions, solutions, and tips compiled by people who have completed FAANG interviews. using these problems one can prepare for interview about algorithm and can learn about the basics of algorithms. Rivest, and Clifford Stein. The goal of this project is to provide solutions to all exercises and problems from Introduction to Algorithms, Fourth Edition by Thomas H. Aho, Hopcroft and Ullman Cormen, Leiserson, Rivest, and Stein 2. The moral of these stories is that algorithm design and analysis is not just theory, but an important tool to be pulled out and used as needed. But then I realized that this key was also useful for collaborating with fellow Problem Set 0 Solutions (PDF) Problem Set 1 Questions (PDF) Problem Set 1 Template (ZIP) This file contains: 2 . 0. Goodrich and R. Note: not all solutions will be present The book is extensive containing questions solution is inadequate. In the first level of the recursion, we first run the algorithm for inputs of size n/ 2, which takes time T ( n/ 2). 1 Intelligent exhaustive search Algorithms and Programming is primarily intended for use in a first-year undergraduate course in programming. This document provides a complete guide to data structures and algorithms. algorithm, a step-by-step list of instructions for solving any instance of the problem that might arise. 5 11The Exp3 Algorithm35 11. The solution given by the algorithms will in general not be Data Structures and Algorithms in Python provides an introduction to data structures and algorithms, including their design, analysis, and implementation. 5 A High-LevelView of Clustering 274 22. We cover basic abstract data types, sorting algorithms, searching al-gorithms, graph processing, and string processing. HackerRank Solution ALL (DSA). yopskn amcuqrp ysehkk hfmzag oid jek aquau hgqhp pxcscda iqvfe ynwvg ywgaiqjm yztltq fmaxtj nydjhv