#include <bits/stdc++.h>
using namespace std;
using lint = long long;
struct State {
int u, mask;
lint d;
State() {}
State(int u, int mask, lint d) : u(u), mask(mask), d(d) {}
bool operator < (const State &o) const {
return d > o.d || (d == o.d && mask > o.mask); // for pq
}
};
lint dist[100005][1 << 4];
vector<pair<int, int>> radj[100005];
priority_queue<State> pq;
lint Solve(int N, int K, int M, vector<int> special, vector<vector<pair<int, int>>> adj) {
for (int i = 0; i < N; i++) {
for (auto j : adj[i]) if (j.first != -1) {
radj[j.first].emplace_back(i, j.second);
}
}
for (int i = 0; i < N; i++) {
for (int j = 0; j < (1 << (K - 1)); j++) {
dist[i][j] = 1e18;
}
}
auto Relax = [&](int u, int mask, lint d) {
if (dist[u][mask] > d) {
dist[u][mask] = d;
pq.emplace(u, mask, d);
}
};
vector<int> specialid(N, -1);
for (int i = 0; i < (K - 1); i++) {
specialid[special[i]] = i;
Relax(i, 0, 0);
}
for (int i = 0; i < N; i++) {
Relax(i, 0, 0);
}
while (!pq.empty()) {
State s = pq.top();
pq.pop();
if (dist[s.u][s.mask] != s.d) {
continue;
}
if (specialid[s.u] != -1) {
Relax(s.u, s.mask | (1 << specialid[s.u]), dist[s.u][s.mask]);
}
int othermask = ((1 << (K - 1)) - 1) ^ s.mask;
for (int m = othermask; m > 0; m = (m - 1) & othermask) {
Relax(s.u, s.mask | m, dist[s.u][s.mask] + dist[s.u][m]);
}
for (auto v : radj[s.u]) {
Relax(v.first, s.mask, s.d + v.second);
}
}
return dist[special.back()][(1 << (K - 1)) - 1];
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
int N, K, M;
cin >> N >> K >> M;
vector<int> special(K);
for (int i = 0; i < K; i++) {
cin >> special[i];
special[i]--;
}
vector<vector<pair<int, int>>> edgelist(N);
for (int i = 0; i < M; i++) {
int u, v, w;
cin >> u >> v >> w;
u--, v--;
edgelist[u].emplace_back(v, w);
edgelist[v].emplace_back(u, w);
}
cout << Solve(N, K, M, special, edgelist) << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2688 KB |
Output is correct |
2 |
Correct |
2 ms |
2688 KB |
Output is correct |
3 |
Correct |
2 ms |
2688 KB |
Output is correct |
4 |
Correct |
2 ms |
2688 KB |
Output is correct |
5 |
Correct |
2 ms |
2688 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
462 ms |
45196 KB |
Output is correct |
2 |
Correct |
429 ms |
44528 KB |
Output is correct |
3 |
Correct |
231 ms |
34032 KB |
Output is correct |
4 |
Correct |
84 ms |
18552 KB |
Output is correct |
5 |
Correct |
300 ms |
43248 KB |
Output is correct |
6 |
Correct |
82 ms |
18296 KB |
Output is correct |
7 |
Correct |
4 ms |
3072 KB |
Output is correct |
8 |
Correct |
4 ms |
3072 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
3328 KB |
Output is correct |
2 |
Correct |
5 ms |
3200 KB |
Output is correct |
3 |
Correct |
4 ms |
3072 KB |
Output is correct |
4 |
Correct |
4 ms |
3072 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1123 ms |
57556 KB |
Output is correct |
2 |
Correct |
997 ms |
56904 KB |
Output is correct |
3 |
Correct |
567 ms |
40164 KB |
Output is correct |
4 |
Correct |
661 ms |
38756 KB |
Output is correct |
5 |
Correct |
189 ms |
25040 KB |
Output is correct |
6 |
Correct |
84 ms |
22152 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2616 ms |
73956 KB |
Output is correct |
2 |
Correct |
2593 ms |
73920 KB |
Output is correct |
3 |
Correct |
2348 ms |
73668 KB |
Output is correct |
4 |
Correct |
1530 ms |
48400 KB |
Output is correct |
5 |
Correct |
1523 ms |
63300 KB |
Output is correct |
6 |
Correct |
265 ms |
29024 KB |
Output is correct |
7 |
Correct |
98 ms |
22524 KB |
Output is correct |