Cod sursa(job #977806)
#include <fstream>
#include <vector>
#include <bitset>
#include <queue>
#include <algorithm>
#include <utility>
#include <string.h>
using namespace std;
ifstream cin("ubuntzei.in");
ofstream cout("ubuntzei.out");
const int MAXN = 2005;
const int MAXK = 17;
const int oo = 0x3f3f3f3f;
typedef vector< pair<int, int> > Graph[MAXN];
typedef vector< pair<int, int> > :: iterator It;
Graph G;
int N, M, K, U[MAXK], D[MAXK][MAXN], dp[1<<MAXK][MAXK];
vector<int>d(MAXN);
priority_queue <pair<int, int> , vector<pair<int, int> > , greater<pair<int, int> > > Q;
inline void Dijkstra(int Source) {
for(Q.push(make_pair(0, Source)), d[Source] = 0; !Q.empty() ; Q.pop()) {
int Node = Q.top().second;
for(It it = G[Node].begin(), fin = G[Node].end() ; it != fin ; ++ it)
if(d[it->first] > d[Node] + it->second)
d[it->first] = d[Node] + it->second, Q.push(make_pair(d[it->first], it->first));
}
}
int main(){
cin >> N >> M >> K;
for(int i = 1 ; i <= K ; ++ i)
cin >> U[i];
U[++K] = N;
for(int i = 1 ; i <= M ; ++ i){
int X, Y, Cost;
cin >> X >> Y >> Cost;
G[X].push_back(make_pair(Y, Cost));
G[Y].push_back(make_pair(X, Cost));
}
for(int i = 1 ; i <= K ; ++ i){
fill(d.begin(), d.end(), oo);
Dijkstra(U[i]);
for(int j = 1 ; j <= N ; ++ j)
D[i][j] = d[j];
}
fill(d.begin(), d.end(), oo);
Dijkstra(1);
memset(dp, oo, sizeof(dp));
for(int i = 1, j = 0; i < (1 << K); i *= 2, ++j) dp[i][j] = d[U[j+1]];
for(int i = 1 ; i < (1 << K) ; ++ i)
for(int j = 0 ; j < K ; ++ j)
if(i & (1<<j))
for(int k = 0; k < K; ++k)
if(i & (1 << k) && k != j)
dp[i][j] = min(dp[i][j], dp[i^(1 << j)][k] + D[k+1][U[j+1]]);
cout << dp[(1<<K)- 1][K-1] <<"\n";
cin.close();
cout.close();
return 0;
}