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Disjoint Set Union by rank and path compression
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#include<bits/stdc++.h> | |
using namespace std; | |
class DSU { | |
vector<int> parent; | |
vector<int> rank; | |
public: | |
DSU (int nodes) { | |
vector<int> temp(nodes); | |
parent = temp; | |
rank = temp; | |
for(int i=0; i<nodes; i++) { | |
parent[i] = i; | |
rank[i] = 0; | |
} | |
} | |
int getParent(int node) { | |
if(node == parent[node]) | |
return node; | |
return parent[node] = getParent(parent[node]); | |
} | |
void makeUnion(int a, int b) { | |
int pa = getParent(a); | |
int pb = getParent(b); | |
if(rank[pa] == rank[pb]) { | |
parent[pb] = pa; | |
rank[pa]++; | |
} else { | |
if(rank[pa] < rank[pb]) | |
parent[pa] = pb; | |
else parent[pb] = pa; | |
} | |
} | |
void printParents() { | |
for(int i=0; i<parent.size(); i++) { | |
cout<<"Node: "<<i<<" Parent: "<<parent[i]<<endl; | |
} | |
} | |
}; | |
// int main() { | |
// DSU *dsu = new DSU(10); | |
// dsu->makeUnion(1,2); | |
// dsu->makeUnion(4,5); | |
// dsu->makeUnion(6,7); | |
// dsu->makeUnion(5,6); | |
// cout<<dsu->getParent(7)<<endl; | |
// return 0; | |
// } |
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