Implementation of Disjoint Set Union Header File(.hpp) from scratch using object oriented design approach.

• disjoint_set.hpp file must be present in the present working directory or its path must be set in the environment variable for the IDE.
• Compatible C++ versions: C++11, C++14, C++17, C++20

• To create a DSU(Disjoint Set Union) with N groups.
• To merge two set with given node_ids.
  • Implemented Union-By-Rank to perform optimsed merger of nodes.
• To find the parent_node for a given input node.
  • Implemented Path Compression to optimise the method.
• To perform validation of nodes with the given node_id.
• To detect existence of a cycle by utilising the find_parent method.
• To obtain the total count of disjoint sets in O(1)
• To obtain the size of the set to which a given node belongs in O(1)

    #include <bits/stdc++.h>
    #include "disjoint_set.hpp"

    using namespace std;
    int main()
    {
        int N;
        cin>>N;
        disjoint_set<int> ds(N);
        // code goes here
    }      

disjoint_set:: method()

• bool is_valid(datatype &)
• datatype find_parent(datatype)
• void union_set(datatype, datatype)
• bool detect_cycle(datatype &, datatype &)
• datatype get_dsu_count()
• datatype get_set_count(datatype)

MIT LICENSE

• Akash Chouhan
• Aryan Jha