Greatest Common Divisor Traversal | Why Graph | Why DSU | Google | Leetcode 2709
285iPad PDF Notes - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/iPad%20PDF%20Notes/Leetcode-2709-Greatest%20Common%20Divisor%20Traversal.pdf
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This is the 45th Video of our Playlist "Graphs : Popular Interview Problems".
In this video we will try to solve a very good Graph DSU based problem asked : Greatest Common Divisor Traversal | Leetcode 2709
Disjoint Set Union | DSU - https://www.youtube.com/watch?v=AsAdKHkITBQ
Disjoint Set Union By Rank and Path Compression | DSU - https://www.youtube.com/watch?v=iH3XVIVzl7M
DSU By Size - https://www.youtube.com/watch?v=kGv33AiGhdc
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Greatest Common Divisor Traversal | Leetcode 2709
Company Tags : Google
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Graph/Disjoint%20Set/Greatest%20Common%20Divisor%20Traversal.cpp
Leetcode Link : https://leetcode.com/problems/greatest-common-divisor-traversal/
My DP Concepts Playlist : https://youtu.be/7eLMOE1jnls
My Graph Concepts Playlist : https://youtu.be/5JGiZnr6B5w
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Approach Summary :
The provided code implements a solution to the problem using the concept of Disjoint Set Union (DSU). The DSUclass is responsible for managing disjoint sets, tracking their sizes, and facilitating union operations. In the Solutionclass, the canTraverseAllPairs method utilizes the DSU to determine whether it is possible to traverse all pairs of elements in the given array nums. The algorithm iterates through each element in nums, factoring it into its prime factors. It uses the DSU to connect elements that share common prime factors. If all elements are connected into a single set (i.e., the DSU's maxSize() is 1), the method returns true, indicating that it is possible to traverse all pairs. Otherwise, it returns false. The code aims to efficiently determine the connected components in the array based on common prime factors using the DSU data structure.
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✨ Timelines✨
00:00 - Introduction
00:57 - Problem Explanation
05:26 - Intuition + Thought Process + Brute Force
13:38 - Tip + Improved Approach Intuition
19:29 - How we will use DSU
35:00 - Story Points
41:59 - Corner Case
43:35 - Code it up
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