//https://oj.uz/problem/view/BOI16_cities
#include<bits/stdc++.h>
const int N = 1e5 + 5;
const long long inf = 1e18;
using namespace std;
typedef pair <long long, int> ii;
vector <ii> G[N];
int n, k, m;
long long f[N][32], ans = inf, a[10];
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
for (int i = 0; i < N; i++) for (int j = 0; j < 32; j++) f[i][j] = inf;
cin >> n >> k >> m;
for (int i = 0; i < k; i++) {
cin >> a[i];
f[a[i]][1 << i] = 0;
}
while (m--){
int u, v, c; cin >> u >> v >> c;
G[u].push_back(ii(c, v));
G[v].push_back(ii(c, u));
}
for (int mask = 1; mask < (1 << k); mask++){
priority_queue <ii, vector <ii>, greater <ii> > mq;
for (int i = 1; i <= n; i++) if (f[i][mask] != inf) mq.push(ii(f[i][mask], i));
while (mq.size()){
int u = mq.top().second; long long c = mq.top().first; mq.pop();
if (c != f[u][mask]) continue;
for (auto p : G[u]){
int v = p.second, cost = p.first;
if (f[v][mask] > f[u][mask] + cost){
f[v][mask] = f[u][mask] + cost;
mq.push(ii(f[v][mask], v));
}
}
for (int i = 0; i < k; i++) if (!((mask >> i)&1)) f[u][mask | (1 << i)] = min(f[u][mask | (1 << i)], f[u][1 << i] + f[u][mask]);
}
}
for (int i = 1; i <= n; i++) ans = min(ans, f[i][(1 << k) - 1]);
cout << ans;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
27896 KB |
Output is correct |
2 |
Correct |
25 ms |
27768 KB |
Output is correct |
3 |
Correct |
25 ms |
27768 KB |
Output is correct |
4 |
Correct |
29 ms |
27768 KB |
Output is correct |
5 |
Correct |
26 ms |
27768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1248 ms |
49080 KB |
Output is correct |
2 |
Correct |
1177 ms |
48376 KB |
Output is correct |
3 |
Correct |
690 ms |
38996 KB |
Output is correct |
4 |
Correct |
154 ms |
40240 KB |
Output is correct |
5 |
Correct |
614 ms |
46792 KB |
Output is correct |
6 |
Correct |
125 ms |
40172 KB |
Output is correct |
7 |
Correct |
27 ms |
27900 KB |
Output is correct |
8 |
Correct |
26 ms |
27896 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
31 ms |
27896 KB |
Output is correct |
2 |
Correct |
34 ms |
27900 KB |
Output is correct |
3 |
Correct |
30 ms |
27776 KB |
Output is correct |
4 |
Correct |
37 ms |
27896 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2393 ms |
49056 KB |
Output is correct |
2 |
Correct |
2268 ms |
48448 KB |
Output is correct |
3 |
Correct |
1613 ms |
39084 KB |
Output is correct |
4 |
Correct |
1288 ms |
46016 KB |
Output is correct |
5 |
Correct |
409 ms |
41732 KB |
Output is correct |
6 |
Correct |
214 ms |
42360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4814 ms |
49116 KB |
Output is correct |
2 |
Incorrect |
4872 ms |
49016 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |