String Algorithms For The Day Before Your Coding Interview
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String Algorithms for the Day Before Your Coding Interview
Strings are fundamental data type in real world and developing algorithms to deal with it is an important domain. In interviews, often, string algorithms are most insightful and challenging.In this guide for the day before your coding interview, we have explored some problems and demonstrated the thought process to solve it starting from the brute force solutions. In the process, we have covered all fundamental ideas along with applying Dynamic Programming to String algorithms so that you are able to solve all string-based problems. Some of the problems we have covered are: - Check substring: This is an important fundamental problem where we learn how strings can be handled just like numeric data and algorithms for numeric data can be leveraged.Some of the core concepts we explored are string hashing, rolling hash and much more.- Longest common substring: This is a core problem as this uses the concepts we gained in the previous problems and an alternative solution is to use Dynamic Programming.The core idea is to apply Dynamic Programming over two different string data.- Longest repeating substring: In line with our previous problem, we explored how to apply Dynamic Programming for this problem. The key distinction is that we are dealing with just 1 string instead of 2 strings as in the previous problem. Unlike the previous problem, the Dynamic Programming approach is the only optimal solution.With these problems and the thought process to solve them, you will be fully prepared.This book has been carefully prepared and reviewed by Top programmers and Algorithmic researchers and members of OpenGenus. We would like to thank Aditya Chatterjee and Ue Kiao for their expertise in this domain and reviews from professors at The University of Tokyo and Tokyo Institute of Technology.Read this book now and ace your upcoming coding interview. This is a must read for everyone preparing for Coding Interviews at top companies.Books in this series ("Day before coding Interview"): - Problems for the day before your coding interview- Greedy Algorithms for the day before your Coding Interview- Dynamic Programming for the day before your coding interview- String Algorithms for the day before your Coding Interview
Graph Algorithms for the Day Before Your Coding Interview
Graph Algorithms are fundamentally important and different than other Algorithmic domains as it gives an inherent structure to the data and we operate on it. This is one of the most important domains for Coding Interviews focused on problem solving.Following are some of the problems we have explored which involve ideas to solve a wider range of problems: - All paths between two verticesThis is a fundamental problem as modifications to it results in solving a wide range of problems. In the process of formulating a solution, we have explored core ideas like graph traversal techniques like Depth First Search and Graph representation like Adjacency List.- Mother VertexThis is an important problem as it highlights two key ideas of Graph problems that is connectivity and importance of specific vertices.We have solved this problem using two approaches where the efficient approach is a modification of Depth First Search and takes O(V^2) time complexity.- Paths with K edgesThis is an important problem as it demonstrates how we can utilize ideas from Dynamic Programming and Divide and Conquer to solve Graph Problems.We have demonstrated four approaches where the brute force approach takes O(2^V x V) time, improving it with a structure we get to O(V^K) time, further applying Dynamic Programming to it, we get to O(V^3 * K) time and finally, using Divide and Conquer to optimize calculation, we arrive at O(V^3 * logK) time.This is a perfect Graph Algorithm problem.We have covered more variants of the problems and ideas in our conclusion to give a bigger picture and better equip you to solve any problem.With these problems and the thought process to solve them, you will be fully prepared.This book has been carefully prepared and reviewed by Top programmers and Algorithmic researchers and members of OpenGenus. We would like to thank Aditya Chatterjee and Ue Kiao for their expertise in this domain and reviews from professors at The University of Tokyo and Tokyo Institute of Technology.Read this book now and ace your upcoming coding interview. This is a must read for everyone preparing for Coding Interviews at top companies.Books in this series ("Day before coding Interview"): - Problems for the day before your coding interview- Greedy Algorithms for the day before your Coding Interview- Dynamic Programming for the day before your coding interview- String Algorithms for the day before your Coding Interview- Mathematical Algorithms for the day before your Coding Interview- Graph Algorithms for the day before your Coding Interview
Mathematical Algorithms for the Day Before Your Coding Interview
Mathematical Algorithms are fundamentally important as several real-life problems can be modeled as a Mathematical problem. Solving such problems require mathematical insights.These problems are a fundamental part of Interviews as it illustrates the thinking process of the candidate clearly. By going through the problems in this book, you will be well prepared to tackle any Mathematical problem.Following are some of the problems we have explored which involve ideas to solve a wider range of problems.- Smallest number with multiplesThis is a unique problem where we learn key insights regarding Prime factorization, role of primes in multiples and much more.We improve the time complexity of this problem starting from O(N^3 * log N) to O(N * log N * log N) to O(N * log log N).- Largest palindromeIn this problem, we have reduced 810000 comparisons to 362 comparisons based on three deep insights. This is a dramatic improvement and demonstrates that even if time complexity cannot be improved, the performance can be improved significantly.- GCD of sub-partsThis problem brings up key insights involving GCD (a common and important topic) and in the process, we have explored several standard algorithms like Euclidean' s GCD Algorithm in the path of developing our custom algorithm for the given problem.- Next PermutationThis problem demonstrates a significant improvement from O(N^N x N x logN) time to O(N) time complexity. Moreover, it illustrates that improving time complexity does not necessarily mean increasing space complexity as it reduces space complexity from O(N^N) to O(1).This brings in idea of Greedy Algorithms to Mathematical Algorithm and in the process, we have explored several standard algorithms like Heap's Algorithm.With these problems and the thought process to solve them, you will be fully prepared.This book has been carefully prepared and reviewed by Top programmers and Algorithmic researchers and members of OpenGenus. We would like to thank Aditya Chatterjee and Ue Kiao for their expertise in this domain and reviews from professors at The University of Tokyo and Tokyo Institute of Technology.Read this book now and ace your upcoming coding interview. This is a must read for everyone preparing for Coding Interviews at top companies.Books in this series ("Day before coding Interview"): - Problems for the day before your coding interview- Greedy Algorithms for the day before your Coding Interview- Dynamic Programming for the day before your coding interview- String Algorithms for the day before your Coding Interview- Mathematical Algorithms for the day before your Coding Interview