#include<iostream>
#include<algorithm>
#include<vector>
#include<utility>
#include<queue>
#include<set>
using namespace std;
typedef long long ll;
vector<int> dsu,rep,sz;
int query(int x){
if(x==dsu[x]) return x;
dsu[x]=query(dsu[x]);
return dsu[x];
}
void unite(int a,int b){
a=query(a);
b=query(b);
if(a==b) return;
if(sz[a]<sz[b]) swap(a,b);
dsu[b]=a;
sz[a]+=sz[b];
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
int n,m,q;
cin>>n>>m>>q;
vector<ll> s(n+1);
for(int i=1;i<=n;i++) cin>>s[i];
int a,b;
vector<pair<int,int> > ori,edges;
for(int i=0;i<m;i++){
cin>>a>>b;
ori.push_back(make_pair(a,b));
}
sort(ori.begin(),ori.end(),[&](pair<int,int> a,pair<int,int> b){return s[a.first]+s[a.second]<s[b.first]+s[b.second];});
vector<priority_queue<pair<ll,int>,vector<pair<ll,int> >,greater<pair<ll,int> > > > pq(n+1);
set<pair<ll,int> > finpq;
vector<bool> vis(n-1);
dsu.resize(n+1);
rep.resize(n+1);
sz.resize(n+1);
int minpos;
auto build=[&](){
for(int i=1;i<=n;i++){
dsu[i]=i;
sz[i]=1;
rep[i]=i;
}
if(!edges.empty()){
for(int i=0;i<n-1;i++){
auto &[u,v]=edges[i];
pq[u].push(make_pair(s[u]+s[v],i));
pq[v].push(make_pair(s[u]+s[v],i));
}
for(int i=1;i<=n;i++){
if(i==minpos) continue;
finpq.insert(make_pair(pq[i].top().first-s[rep[i]],i));
}
}
};
build();
for(auto &[u,v]:ori){
if(query(u)!=query(v)){
unite(u,v);
edges.push_back(make_pair(u,v));
}
}
vector<ll> ans(n);
ll smin=2e9,smax=0;
for(int i=1;i<=n;i++){
if(s[i]<smin){
smin=s[i];
minpos=i;
}
smax=max(smax,s[i]);
ans[n-1]-=s[i];
}
ans[n-1]+=smax;
for(int i=1;i<=n;i++){
if(i==minpos) continue;
ans[n-1]+=smin+s[i];
}
build();
for(int i=n-2;i>=0;i--){
auto [sum,node]=*finpq.begin();
finpq.erase(finpq.begin());
ans[i]=ans[i+1]+sum-smin;
auto [w,eid]=pq[node].top();
vis[eid]=1;
auto [u,v]=edges[eid];
if(query(u)!=node) swap(u,v);
v=query(v);
finpq.erase(make_pair(pq[v].top().first-s[rep[v]],v));
a=u;
b=v;
if(pq[a].size()<pq[b].size()) swap(a,b);
dsu[b]=a;
while(!pq[b].empty()){
if(vis[pq[b].top().second]){
pq[b].pop();
}
else{
pq[a].push(pq[b].top());
pq[b].pop();
}
}
rep[a]=rep[v];
while(!pq[a].empty()){
if(vis[pq[a].top().second]){
pq[a].pop();
}
else{
finpq.insert(make_pair(pq[a].top().first-s[rep[a]],a));
pq[a].pop();
break;
}
}
}
for(int i=0;i<=q;i++){
if(i>=n) cout<<ans[n-1]<<"\n";
else cout<<ans[i]<<"\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
143 ms |
40224 KB |
Output is correct |
3 |
Correct |
143 ms |
40144 KB |
Output is correct |
4 |
Execution timed out |
4053 ms |
40524 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
143 ms |
40224 KB |
Output is correct |
3 |
Correct |
143 ms |
40144 KB |
Output is correct |
4 |
Execution timed out |
4053 ms |
40524 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
143 ms |
40224 KB |
Output is correct |
3 |
Correct |
143 ms |
40144 KB |
Output is correct |
4 |
Execution timed out |
4053 ms |
40524 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
143 ms |
40224 KB |
Output is correct |
3 |
Correct |
143 ms |
40144 KB |
Output is correct |
4 |
Execution timed out |
4053 ms |
40524 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
460 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Incorrect |
0 ms |
452 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
460 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Incorrect |
0 ms |
452 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
143 ms |
40224 KB |
Output is correct |
3 |
Correct |
143 ms |
40144 KB |
Output is correct |
4 |
Execution timed out |
4053 ms |
40524 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |