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66 changes: 66 additions & 0 deletions tree/difftree.cpp
Original file line number Diff line number Diff line change
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#include<bits/stdc++.h>
using namespace std;
int maximum(int a,int b);
void initialiseSets(vector<int> &parent, vector<int> &size, multiset<int> &sizesOfSets,int n)
{
for(int i = 1;i <= n;i++)
{
parent[i] = i;
size[i] = 1;
sizesOfSets.insert(1);
}
}

int findParent(int camper, vector<int> &parent)
{
if(parent[camper] == camper) return camper;
return parent[camper] = findParent(parent[camper], parent);
}

void setUnion(int camper1,int camper2, vector<int> &parent, vector<int> &size, multiset<int> &sizesOfSets)
{
int parent1 = findParent(camper1,parent);
int parent2 = findParent(camper2,parent);
if(parent1 != parent2)
{
parent[parent1] = parent2;
sizesOfSets.erase(sizesOfSets.find(size[parent1]));
sizesOfSets.erase(sizesOfSets.find(size[parent2]));
size[parent2] += size[parent1];
sizesOfSets.insert(size[parent2]);
}
}

vector<int> findSolution(vector< pair<int,int> > &queries, int n)
{
vector<int> parent(n+1);
vector<int> size(n+1);
multiset<int> sizesOfSets;

initialiseSets(parent,size,sizesOfSets,n);

int numberOfQueries = queries.size();
vector<int> ans;
for(int i = 0;i < numberOfQueries;i++) {
int camper1 = queries[i].first;
int camper2 = queries[i].second;
setUnion(camper1,camper2,parent,size,sizesOfSets);
ans.push_back(*(--sizesOfSets.end()) - *sizesOfSets.begin());
}
return ans;
}
int main() {
int i,j,k,l,m,n,t,q;
cin >> n >> q;
vector< pair<int,int> > queries;
while(q--) {
int u,v;
cin >> u >> v;
queries.push_back({u,v});
}
vector<int> ans = findSolution(queries,n);
for(int an : ans) {
cout << an << endl;
}

}