//In the name of God
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
const ll MXN = 1e5 + 10;
const ll MXK = 5;
const ll MXM = (1LL << 5) + 5;
const ll INF = 1e18;
ll n, m, k, ans;
ll Imp[MXK], dis[MXK][MXN], dp[MXM][MXN];
vector<pll> adj[MXN];
priority_queue<pll, vector<pll>, greater<pll>> pq;
bool vis[MXN], in[MXN];
void BFS(ll f, ll src){
dis[f][src] = 0, pq.push({0, src});
memset(vis, 0, sizeof vis);
while(!pq.empty()){
ll d, u; tie(d, u) = pq.top(); pq.pop();
if(vis[u]) continue;
vis[u] = 1;
for(auto Pr : adj[u]){
ll v, w; tie(v, w) = Pr;
if(!vis[v] && d + w < dis[f][v]){
dis[f][v] = d + w;
pq.push({dis[f][v], v});
}
}
}
}
void Relax(ll f){
memset(vis, 0, sizeof vis);
for(int i = 1; i <= n; i ++) pq.push({dp[f][i], i});
while(!pq.empty()){
ll d, u; tie(d, u) = pq.top(); pq.pop();
if(vis[u]) continue;
vis[u] = 1;
for(auto Pr : adj[u]){
ll v, w; tie(v, w) = Pr;
if(!vis[v] && d + w < dp[f][v]){
dp[f][v] = d + w;
pq.push({dp[f][v], v});
}
}
}
}
int main(){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
cin >> n >> k >> m;
memset(dis, 63, sizeof dis), memset(dp, 63, sizeof dp);
for(int i = 0; i < k; i ++) cin >> Imp[i];
for(int i = 0; i < m; i ++){
ll u, v, w; cin >> u >> v >> w;
adj[u].push_back({v, w});
adj[v].push_back({u, w});
}
for(int i = 0; i < k; i ++) BFS(i, Imp[i]);
for(int i = 0; i < k; i ++) dp[(1LL << i)][Imp[i]] = 0;
for(int mask = 1; mask < (1LL << k); mask ++){
for(int i = 1; i <= n; i ++){
for(int sub = mask; sub; sub = (sub - 1) & mask){
int oth = mask ^ sub;
dp[mask][i] = min(dp[mask][i], dp[sub][i] + dp[oth][i]);
}
}
Relax(mask);
}
cout << *min_element(dp[(1LL << k) - 1] + 1, dp[(1LL << k) - 1] + n + 1) << '\n';
return 0;
}
//! N.N
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
35532 KB |
Output is correct |
2 |
Correct |
19 ms |
35632 KB |
Output is correct |
3 |
Correct |
19 ms |
35524 KB |
Output is correct |
4 |
Correct |
19 ms |
35580 KB |
Output is correct |
5 |
Correct |
19 ms |
35540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
795 ms |
54400 KB |
Output is correct |
2 |
Correct |
803 ms |
53572 KB |
Output is correct |
3 |
Correct |
425 ms |
45112 KB |
Output is correct |
4 |
Correct |
111 ms |
48068 KB |
Output is correct |
5 |
Correct |
460 ms |
54448 KB |
Output is correct |
6 |
Correct |
101 ms |
48084 KB |
Output is correct |
7 |
Correct |
22 ms |
35756 KB |
Output is correct |
8 |
Correct |
22 ms |
35844 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
35836 KB |
Output is correct |
2 |
Correct |
25 ms |
35772 KB |
Output is correct |
3 |
Correct |
24 ms |
35660 KB |
Output is correct |
4 |
Correct |
23 ms |
35840 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1443 ms |
54596 KB |
Output is correct |
2 |
Correct |
1394 ms |
53528 KB |
Output is correct |
3 |
Correct |
872 ms |
45112 KB |
Output is correct |
4 |
Correct |
787 ms |
52532 KB |
Output is correct |
5 |
Correct |
233 ms |
49572 KB |
Output is correct |
6 |
Correct |
129 ms |
50432 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2667 ms |
54492 KB |
Output is correct |
2 |
Correct |
2642 ms |
54324 KB |
Output is correct |
3 |
Correct |
2556 ms |
53516 KB |
Output is correct |
4 |
Correct |
1588 ms |
45112 KB |
Output is correct |
5 |
Correct |
1365 ms |
52532 KB |
Output is correct |
6 |
Correct |
352 ms |
49576 KB |
Output is correct |
7 |
Correct |
165 ms |
50568 KB |
Output is correct |