I. Introduction This data structure is used to solve "Dynamic Connectivity" problem. 1. Applications ・Pixels in a digital photo. ・Computers in a network. ・Friends in a social network. ・Transistors in a computer chip. ・Elements in a mathematical set. ・Variable names in Fortran ...
The efficiency of an algorithm sometimes depends on using an efficient data structure. A good choice of data structure can reduce the execution time of an algorithm and Union-Find is … HackerEarth is a global hub of 5M+ developers. We help companies ac
//Data Structure//maintain extra array sz[i] to count number of objects in the tree rooted at i//sz[i] = size of tree rooted i// Find - identical to quick-union//Union//Modify quick-union to://1.Link root of smaller tree to root of larger tree.//2.Update the sz[] arrayinti...
y) makes two sets containing x and y respectively into one setSome Applications:- Kruskal's algorithm for finding minimal spanning trees- Finding connected components in graphs- Finding connected components in images (binary)"""defMakeSet(x):x.parent=xx.rank...
The space complexity of the Union-Find data structure is O(n), where n is the number of elements. This is because we need to store an array of size n for the parent array and another array of size n for the rank array. Advantages & Disadvantages The biggest advantage of the union-f...
Applications of Union-Find:Various minimum spanning-tree algorithms maintain a set of forests, and merge two forests by adding an edge connecting them. We consider a Union-Find data structure in which each set A is represented by a forest where nodes are the elements of A,with S(A) at th...