#include<bits/stdc++.h>
using namespace std;
const int N=2e5+5;
using ll = long long;
using T = tuple<ll,int,int>;
using U = tuple<ll,int,int,int>;
int n,m,q;
int s[N],deg[N];
int rt;
ll cur,ans[N];
vector<T> edge;
priority_queue<T,vector<T>,greater<T>> comp[N];
priority_queue<U,vector<U>,greater<U>> pq;
struct DSU{
int p[N];
void init(){
for(int i=1;i<=n;i++)p[i]=i;
}
int fp(int u){
return p[u]=u==p[u]?u:fp(p[u]);
}
bool uni(int u,int v){
u=fp(u),v=fp(v);
return u!=v?p[u]=v,true:false;
}
}dsu;
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> m >> q;
for(int i=1;i<=n;i++){
cin >> s[i];
}
rt=min_element(s+1,s+n+1)-s;
cur+=(n-2)*s[rt]+*max_element(s+1,s+n+1);
for(int i=0;i<m;i++){
int u,v;
cin >> u >> v;
edge.emplace_back(s[u]+s[v],u,v);
}
sort(edge.begin(),edge.end());
dsu.init();
for(auto [w,u,v]:edge)if(dsu.uni(u,v)){
comp[u].emplace(w,u,v);
comp[v].emplace(w,v,u);
}
dsu.init();
for(int i=1;i<=n;i++)if(!comp[i].empty()){
auto [w,u,v]=comp[i].top();
pq.emplace(w-(s[rt]+s[u]),u,v,i);
}
int cnt=n-1;
ans[cnt]=cur;
while(!pq.empty()){
auto [w,u,v,p]=pq.top();
pq.pop();
u=dsu.fp(u),v=dsu.fp(v);
if(u==v||u!=p)continue;
cur+=w;
ans[--cnt]=cur;
if(comp[u].size()>comp[v].size())swap(comp[u],comp[v]);
dsu.p[u]=v;
while(!comp[u].empty()){
comp[v].emplace(comp[u].top());
comp[u].pop();
}
while(!comp[v].empty()){
auto [c,a,b]=comp[v].top();
if(dsu.fp(a)!=dsu.fp(b))break;
comp[v].pop();
}
if(!comp[v].empty()){
auto [c,a,b]=comp[v].top();
pq.emplace(c-(s[rt]+s[v]),a,b,v);
}
}
for(int i=0;i<=q;i++)cout << ans[min(i,n-1)] << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
131 ms |
36192 KB |
Output is correct |
3 |
Correct |
131 ms |
36532 KB |
Output is correct |
4 |
Correct |
165 ms |
37560 KB |
Output is correct |
5 |
Correct |
167 ms |
39936 KB |
Output is correct |
6 |
Correct |
163 ms |
37672 KB |
Output is correct |
7 |
Correct |
167 ms |
39492 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
131 ms |
36192 KB |
Output is correct |
3 |
Correct |
131 ms |
36532 KB |
Output is correct |
4 |
Correct |
165 ms |
37560 KB |
Output is correct |
5 |
Correct |
167 ms |
39936 KB |
Output is correct |
6 |
Correct |
163 ms |
37672 KB |
Output is correct |
7 |
Correct |
167 ms |
39492 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
274 ms |
40024 KB |
Output is correct |
11 |
Incorrect |
138 ms |
40376 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
131 ms |
36192 KB |
Output is correct |
3 |
Correct |
131 ms |
36532 KB |
Output is correct |
4 |
Correct |
165 ms |
37560 KB |
Output is correct |
5 |
Correct |
167 ms |
39936 KB |
Output is correct |
6 |
Correct |
163 ms |
37672 KB |
Output is correct |
7 |
Correct |
167 ms |
39492 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
274 ms |
40024 KB |
Output is correct |
11 |
Incorrect |
138 ms |
40376 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
131 ms |
36192 KB |
Output is correct |
3 |
Correct |
131 ms |
36532 KB |
Output is correct |
4 |
Correct |
165 ms |
37560 KB |
Output is correct |
5 |
Correct |
167 ms |
39936 KB |
Output is correct |
6 |
Correct |
163 ms |
37672 KB |
Output is correct |
7 |
Correct |
167 ms |
39492 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
274 ms |
40024 KB |
Output is correct |
11 |
Incorrect |
138 ms |
40376 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8536 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
2 ms |
8540 KB |
Output is correct |
8 |
Correct |
14 ms |
10816 KB |
Output is correct |
9 |
Correct |
14 ms |
10844 KB |
Output is correct |
10 |
Correct |
14 ms |
10588 KB |
Output is correct |
11 |
Incorrect |
15 ms |
10844 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8536 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
2 ms |
8540 KB |
Output is correct |
8 |
Correct |
14 ms |
10816 KB |
Output is correct |
9 |
Correct |
14 ms |
10844 KB |
Output is correct |
10 |
Correct |
14 ms |
10588 KB |
Output is correct |
11 |
Incorrect |
15 ms |
10844 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
131 ms |
36192 KB |
Output is correct |
3 |
Correct |
131 ms |
36532 KB |
Output is correct |
4 |
Correct |
165 ms |
37560 KB |
Output is correct |
5 |
Correct |
167 ms |
39936 KB |
Output is correct |
6 |
Correct |
163 ms |
37672 KB |
Output is correct |
7 |
Correct |
167 ms |
39492 KB |
Output is correct |
8 |
Correct |
2 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
274 ms |
40024 KB |
Output is correct |
11 |
Incorrect |
138 ms |
40376 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |