#include <bits/stdc++.h>
using namespace std;
#define int long long
struct UFDSsimple{
vector<int> p,siz,mini;
UFDSsimple(int n):p(n+1),siz(n+1,1){iota(p.begin(),p.end(),0);}
int findRoot(int x){
return p[x]==x ? x : p[x]=findRoot(p[x]);
}
bool unite(int a,int b){
a = findRoot(a);
b = findRoot(b);
if(a==b)return false;
if(siz[b]>siz[a])swap(a,b);
siz[a]+=siz[b];
p[b]=a;
return true;
}
};
struct UFDS{
vector<int> p,siz,mini,lazy,decomissioner;
vector<priority_queue<pair<int,int>>> pq;
priority_queue<pair<int,int>> globalpq;
UFDS(int n,vector<int> arr,vector<pair<int,int>> edges):p(n+1),siz(n+1,1),mini(n+1),lazy(n+1),decomissioner(n+1),pq(n+1){
iota(p.begin(),p.end(),0);
mini=arr;
int globalmini = *min_element(arr.begin()+1,arr.end());
for(int i=0;i<n-1;i++){
auto [u,v] = edges[i];
pq[u].emplace(globalmini-arr[v],v);
pq[v].emplace(globalmini-arr[u],u);
}
for(int i=1;i<=n;i++)globalpq.emplace(pq[i].top().first,i);
}
int findRoot(int x){
return p[x]==x ? x : p[x]=findRoot(p[x]);
}
void unite(int a,int b){
a = findRoot(a);
b = findRoot(b);
if(a==b)assert(false);
if(siz[b]>siz[a])swap(a,b);
int newmin = min(mini[a],mini[b]);
decomissioner[a]++;
decomissioner[b]++;
lazy[a]+=newmin-mini[a];
lazy[b]+=newmin-mini[b];
if(pq[b].size()>pq[a].size()){
swap(pq[a],pq[b]);
swap(lazy[a],lazy[b]);
}
while(!pq[b].empty()){
auto [cost,v] = pq[b].top();pq[b].pop();
pq[a].emplace(cost+lazy[b]-lazy[a],v);
}
if(!pq[a].empty())globalpq.emplace(pq[a].top().first+lazy[a],a);
mini[a]=newmin;
siz[a]+=siz[b];
p[b]=a;
}
int get_best(){
if(globalpq.empty())assert(false);
auto [cost,curra] = globalpq.top();globalpq.pop();
if(decomissioner[curra]){
decomissioner[curra]--;
return get_best();
}
auto [temp,currb] = pq[curra].top();pq[curra].pop();
curra = findRoot(curra);
currb = findRoot(currb);
if(curra==currb)return get_best();
decomissioner[curra]--;
unite(curra,currb);
return cost;
}
};
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n,m,q;
cin >> n >> m >> q;
vector<int> arr(n+1);
for(int i=1;i<=n;i++)cin>>arr[i];
vector<tuple<int,int,int>> edges;
for(int i=1;i<=m;i++){
int a,b;
cin >> a >> b;
edges.emplace_back(arr[a]+arr[b],a,b);
}
sort(edges.begin(),edges.end());
int baseans = (*max_element(arr.begin(),arr.end()));
baseans += (n-2ll)*(*min_element(arr.begin()+1,arr.end()));
UFDSsimple dsusim(n);
vector<pair<int,int>> gudedges;
for(int i=0;i<m;i++){
auto [cost,a,b] = edges[i];
if(!dsusim.unite(a,b))continue;
gudedges.emplace_back(a,b);
}
vector<int> ans(n);
ans[0] = baseans;
UFDS dsu(n,arr,gudedges);
for(int i=1;i<n;i++){
ans[i]=ans[i-1]-dsu.get_best();
}
for(int i=0;i<=q;i++){
cout << ans[max(n-1-i,0ll)] << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
101 ms |
52780 KB |
Output is correct |
3 |
Correct |
109 ms |
52856 KB |
Output is correct |
4 |
Runtime error |
153 ms |
98948 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
101 ms |
52780 KB |
Output is correct |
3 |
Correct |
109 ms |
52856 KB |
Output is correct |
4 |
Runtime error |
153 ms |
98948 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
101 ms |
52780 KB |
Output is correct |
3 |
Correct |
109 ms |
52856 KB |
Output is correct |
4 |
Runtime error |
153 ms |
98948 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
101 ms |
52780 KB |
Output is correct |
3 |
Correct |
109 ms |
52856 KB |
Output is correct |
4 |
Runtime error |
153 ms |
98948 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
101 ms |
52780 KB |
Output is correct |
3 |
Correct |
109 ms |
52856 KB |
Output is correct |
4 |
Runtime error |
153 ms |
98948 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |