#include<bits/stdc++.h>
using namespace std;
#define int long long
#define all(a) (a).begin(), (a).end()
const int N=1e5+1, MAX_SIZE=6;
int n, m, k;
vector<pair<int, int>> dist[N];
vector<pair<int, int>> g[N];
bool optimize(int idx, pair<int, int> val){
for (auto &i:dist[idx]) if (i.second==val.second){
if (i.first>val.first){
i=val;
return 1;
}
return 0;
}
if ((int)dist[idx].size()<MAX_SIZE){
dist[idx].push_back(val);
sort(dist[idx].begin(), dist[idx].end());
return 1;
}
if (val.first<dist[idx].back().first){
dist[idx].push_back(val);
sort(dist[idx].begin(), dist[idx].end());
dist[idx].pop_back();
return 1;
}
return 0;
}
bool optimize(int idx, int par, int w){
bool ans=0;
for (auto &i:dist[par]){
ans|=optimize(idx, {i.first+w, i.second});
}
return ans;
}
struct cmp{
bool operator()(const pair<vector<pair<int, int>>, int> &a, const pair<vector<pair<int, int>>, int> &b){
for (int i=0; i<min<int>(a.first.size(), b.first.size()); ++i) if (a.first[i]!=b.first[i]) return a.first[i]<b.first[i];
if (a.first.size()!=b.first.size()) return a.first.size()<b.first.size();
return a.second<b.second;
}
};
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m >> k;
// n=1e5; m=1e5; k=1e5;
for (int i=1; i<=m; ++i){
int u, v, w; cin >> u >> v >> w;
// int u=i, v=i%n+1, w=1;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
priority_queue<pair<vector<pair<int, int>>, int>, vector<pair<vector<pair<int, int>>, int>>, cmp> pq;
for (int i=1; i<=k; ++i){
int x; cin >> x;
// int x=i;
dist[x].emplace_back(0, x);
pq.emplace(dist[x], x);
}
while (pq.size()){
auto tt=pq.top().first;
int u=pq.top().second; pq.pop();
if (dist[u]!=tt) continue;
for (auto &e:g[u]){
int v=e.first, w=e.second;
if (optimize(v, u, w)) pq.emplace(dist[v], v);
}
}
int ans=1e18;
set<pair<int, pair<int, int>>> st;
for (int i=1; i<=n; ++i){
vector<pair<int, int>> d2;
for (auto &j:dist[i]){
int u=i, v=j.second, d=j.first;
if (d && find(all(dist[v]), pair<int, int>{d, u})!=dist[v].end()){
st.insert({d, {min(u, v), max(u, v)}});
d2.emplace_back(d, v);
}
}
dist[i].swap(d2);
}
vector<pair<int, pair<int, int>>> v(all(st));
v.resize(min((int)v.size(), (int)100));
for (int i=0; i<(int)v.size(); ++i) for (int j=i+1; j<(int)v.size(); ++j){
set<int> lmao;
lmao.insert(v[i].second.first);
lmao.insert(v[i].second.second);
lmao.insert(v[j].second.first);
lmao.insert(v[j].second.second);
if ((int)lmao.size()==4) ans=min(ans, v[i].first+v[j].first);
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4952 KB |
Output is correct |
2 |
Correct |
4 ms |
5332 KB |
Output is correct |
3 |
Correct |
2 ms |
4956 KB |
Output is correct |
4 |
Correct |
1 ms |
4956 KB |
Output is correct |
5 |
Correct |
1 ms |
4956 KB |
Output is correct |
6 |
Correct |
1 ms |
4956 KB |
Output is correct |
7 |
Correct |
4 ms |
5244 KB |
Output is correct |
8 |
Correct |
4 ms |
5212 KB |
Output is correct |
9 |
Correct |
1 ms |
4956 KB |
Output is correct |
10 |
Correct |
2 ms |
4956 KB |
Output is correct |
11 |
Correct |
2 ms |
4956 KB |
Output is correct |
12 |
Correct |
2 ms |
4956 KB |
Output is correct |
13 |
Correct |
3 ms |
5208 KB |
Output is correct |
14 |
Correct |
3 ms |
5212 KB |
Output is correct |
15 |
Correct |
3 ms |
5160 KB |
Output is correct |
16 |
Correct |
2 ms |
4956 KB |
Output is correct |
17 |
Correct |
3 ms |
5208 KB |
Output is correct |
18 |
Correct |
1 ms |
4956 KB |
Output is correct |
19 |
Correct |
3 ms |
5212 KB |
Output is correct |
20 |
Correct |
2 ms |
5212 KB |
Output is correct |
21 |
Correct |
3 ms |
5212 KB |
Output is correct |
22 |
Correct |
1 ms |
4956 KB |
Output is correct |
23 |
Correct |
2 ms |
5212 KB |
Output is correct |
24 |
Correct |
2 ms |
4956 KB |
Output is correct |
25 |
Correct |
2 ms |
4956 KB |
Output is correct |
26 |
Correct |
2 ms |
4956 KB |
Output is correct |
27 |
Correct |
1 ms |
4952 KB |
Output is correct |
28 |
Correct |
3 ms |
5212 KB |
Output is correct |
29 |
Correct |
3 ms |
5212 KB |
Output is correct |
30 |
Correct |
4 ms |
5336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4952 KB |
Output is correct |
2 |
Correct |
4 ms |
5332 KB |
Output is correct |
3 |
Correct |
2 ms |
4956 KB |
Output is correct |
4 |
Correct |
1 ms |
4956 KB |
Output is correct |
5 |
Correct |
1 ms |
4956 KB |
Output is correct |
6 |
Correct |
1 ms |
4956 KB |
Output is correct |
7 |
Correct |
4 ms |
5244 KB |
Output is correct |
8 |
Correct |
4 ms |
5212 KB |
Output is correct |
9 |
Correct |
1 ms |
4956 KB |
Output is correct |
10 |
Correct |
2 ms |
4956 KB |
Output is correct |
11 |
Correct |
2 ms |
4956 KB |
Output is correct |
12 |
Correct |
2 ms |
4956 KB |
Output is correct |
13 |
Correct |
3 ms |
5208 KB |
Output is correct |
14 |
Correct |
3 ms |
5212 KB |
Output is correct |
15 |
Correct |
3 ms |
5160 KB |
Output is correct |
16 |
Correct |
2 ms |
4956 KB |
Output is correct |
17 |
Correct |
3 ms |
5208 KB |
Output is correct |
18 |
Correct |
1 ms |
4956 KB |
Output is correct |
19 |
Correct |
3 ms |
5212 KB |
Output is correct |
20 |
Correct |
2 ms |
5212 KB |
Output is correct |
21 |
Correct |
3 ms |
5212 KB |
Output is correct |
22 |
Correct |
1 ms |
4956 KB |
Output is correct |
23 |
Correct |
2 ms |
5212 KB |
Output is correct |
24 |
Correct |
2 ms |
4956 KB |
Output is correct |
25 |
Correct |
2 ms |
4956 KB |
Output is correct |
26 |
Correct |
2 ms |
4956 KB |
Output is correct |
27 |
Correct |
1 ms |
4952 KB |
Output is correct |
28 |
Correct |
3 ms |
5212 KB |
Output is correct |
29 |
Correct |
3 ms |
5212 KB |
Output is correct |
30 |
Correct |
4 ms |
5336 KB |
Output is correct |
31 |
Correct |
3 ms |
5212 KB |
Output is correct |
32 |
Correct |
8 ms |
5300 KB |
Output is correct |
33 |
Correct |
10 ms |
5208 KB |
Output is correct |
34 |
Correct |
1 ms |
4956 KB |
Output is correct |
35 |
Correct |
1 ms |
4956 KB |
Output is correct |
36 |
Correct |
46 ms |
9496 KB |
Output is correct |
37 |
Correct |
15 ms |
6872 KB |
Output is correct |
38 |
Correct |
17 ms |
5468 KB |
Output is correct |
39 |
Correct |
500 ms |
11120 KB |
Output is correct |
40 |
Correct |
95 ms |
10272 KB |
Output is correct |
41 |
Correct |
19 ms |
5464 KB |
Output is correct |
42 |
Correct |
81 ms |
10536 KB |
Output is correct |
43 |
Correct |
32 ms |
7952 KB |
Output is correct |
44 |
Correct |
16 ms |
5212 KB |
Output is correct |
45 |
Correct |
1 ms |
5152 KB |
Output is correct |
46 |
Correct |
249 ms |
14336 KB |
Output is correct |
47 |
Correct |
84 ms |
9924 KB |
Output is correct |
48 |
Correct |
438 ms |
11468 KB |
Output is correct |
49 |
Correct |
335 ms |
14276 KB |
Output is correct |
50 |
Correct |
13 ms |
5208 KB |
Output is correct |
51 |
Correct |
6 ms |
5464 KB |
Output is correct |
52 |
Correct |
12 ms |
5212 KB |
Output is correct |
53 |
Correct |
322 ms |
10240 KB |
Output is correct |
54 |
Correct |
511 ms |
11292 KB |
Output is correct |
55 |
Correct |
12 ms |
5212 KB |
Output is correct |
56 |
Correct |
2 ms |
5212 KB |
Output is correct |
57 |
Correct |
12 ms |
5212 KB |
Output is correct |
58 |
Correct |
581 ms |
13104 KB |
Output is correct |
59 |
Correct |
1 ms |
4956 KB |
Output is correct |
60 |
Correct |
10 ms |
5980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
6096 ms |
12124 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4952 KB |
Output is correct |
2 |
Correct |
4 ms |
5332 KB |
Output is correct |
3 |
Correct |
2 ms |
4956 KB |
Output is correct |
4 |
Correct |
1 ms |
4956 KB |
Output is correct |
5 |
Correct |
1 ms |
4956 KB |
Output is correct |
6 |
Correct |
1 ms |
4956 KB |
Output is correct |
7 |
Correct |
4 ms |
5244 KB |
Output is correct |
8 |
Correct |
4 ms |
5212 KB |
Output is correct |
9 |
Correct |
1 ms |
4956 KB |
Output is correct |
10 |
Correct |
2 ms |
4956 KB |
Output is correct |
11 |
Correct |
2 ms |
4956 KB |
Output is correct |
12 |
Correct |
2 ms |
4956 KB |
Output is correct |
13 |
Correct |
3 ms |
5208 KB |
Output is correct |
14 |
Correct |
3 ms |
5212 KB |
Output is correct |
15 |
Correct |
3 ms |
5160 KB |
Output is correct |
16 |
Correct |
2 ms |
4956 KB |
Output is correct |
17 |
Correct |
3 ms |
5208 KB |
Output is correct |
18 |
Correct |
1 ms |
4956 KB |
Output is correct |
19 |
Correct |
3 ms |
5212 KB |
Output is correct |
20 |
Correct |
2 ms |
5212 KB |
Output is correct |
21 |
Correct |
3 ms |
5212 KB |
Output is correct |
22 |
Correct |
1 ms |
4956 KB |
Output is correct |
23 |
Correct |
2 ms |
5212 KB |
Output is correct |
24 |
Correct |
2 ms |
4956 KB |
Output is correct |
25 |
Correct |
2 ms |
4956 KB |
Output is correct |
26 |
Correct |
2 ms |
4956 KB |
Output is correct |
27 |
Correct |
1 ms |
4952 KB |
Output is correct |
28 |
Correct |
3 ms |
5212 KB |
Output is correct |
29 |
Correct |
3 ms |
5212 KB |
Output is correct |
30 |
Correct |
4 ms |
5336 KB |
Output is correct |
31 |
Correct |
3 ms |
5212 KB |
Output is correct |
32 |
Correct |
8 ms |
5300 KB |
Output is correct |
33 |
Correct |
10 ms |
5208 KB |
Output is correct |
34 |
Correct |
1 ms |
4956 KB |
Output is correct |
35 |
Correct |
1 ms |
4956 KB |
Output is correct |
36 |
Correct |
46 ms |
9496 KB |
Output is correct |
37 |
Correct |
15 ms |
6872 KB |
Output is correct |
38 |
Correct |
17 ms |
5468 KB |
Output is correct |
39 |
Correct |
500 ms |
11120 KB |
Output is correct |
40 |
Correct |
95 ms |
10272 KB |
Output is correct |
41 |
Correct |
19 ms |
5464 KB |
Output is correct |
42 |
Correct |
81 ms |
10536 KB |
Output is correct |
43 |
Correct |
32 ms |
7952 KB |
Output is correct |
44 |
Correct |
16 ms |
5212 KB |
Output is correct |
45 |
Correct |
1 ms |
5152 KB |
Output is correct |
46 |
Correct |
249 ms |
14336 KB |
Output is correct |
47 |
Correct |
84 ms |
9924 KB |
Output is correct |
48 |
Correct |
438 ms |
11468 KB |
Output is correct |
49 |
Correct |
335 ms |
14276 KB |
Output is correct |
50 |
Correct |
13 ms |
5208 KB |
Output is correct |
51 |
Correct |
6 ms |
5464 KB |
Output is correct |
52 |
Correct |
12 ms |
5212 KB |
Output is correct |
53 |
Correct |
322 ms |
10240 KB |
Output is correct |
54 |
Correct |
511 ms |
11292 KB |
Output is correct |
55 |
Correct |
12 ms |
5212 KB |
Output is correct |
56 |
Correct |
2 ms |
5212 KB |
Output is correct |
57 |
Correct |
12 ms |
5212 KB |
Output is correct |
58 |
Correct |
581 ms |
13104 KB |
Output is correct |
59 |
Correct |
1 ms |
4956 KB |
Output is correct |
60 |
Correct |
10 ms |
5980 KB |
Output is correct |
61 |
Execution timed out |
6096 ms |
12124 KB |
Time limit exceeded |
62 |
Halted |
0 ms |
0 KB |
- |