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Cod sursa(job #868970)
#include<iostream>
#include<iostream>
#include<fstream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<iomanip>
#include<string>
#include<vector>
#include<queue>
#include<stack>
#include<bitset>
#include<algorithm>
#define INF (1 << 30)
#define pb push_back
#define mkp make_pair
#define pii pair<int, int>
#define ll long long
#define nxt (*it).first
#define cst (*it).second
#define type pii
#define FORi(i,a,b)\
for(int i=a; i<b; ++i)
#define FORir(i,a,b)\
for(int i=a; i>=b; --i)
#define FORr(g)\
for(vector<type>::reverse_iterator it=g.rbegin(); it!=g.rend(); ++it)
#define FOR(g)\
for(vector<type>::iterator it=g.begin(); it!=g.end(); ++it)
#define infile "ubuntzei.in"
#define outfile "ubuntzei.out"
#define nMax 2005
#define kMax 15
using namespace std;
vector < type > v[nMax];
priority_queue < type > PQ;
int Dist[kMax][nMax], source[nMax];
int L[kMax], DP[1<<kMax][kMax];
int N, M, K, Sol = INF;
void read(){
ifstream f(infile);
f >> N >> M >> K;
FORi(i,0,K)
f >> L[i];
int x, y, cost;
while(M--){
f >> x >> y >> cost;
v[x].pb(mkp(y,cost));
v[y].pb(mkp(x,cost));
}
f.close();
}
void dijkstra(int src, int *Dist){
fill(Dist, Dist+N+1, INF);
Dist[src] = 0;
PQ.push(mkp(-0, src));
while(!PQ.empty()){
int cost = -PQ.top().first;
int x = PQ.top().second;
PQ.pop();
if(cost > Dist[x])
continue;
FOR(v[x])
if(Dist[nxt] > Dist[x] + cst){
Dist[nxt] = Dist[x] + cst;
PQ.push(mkp(-Dist[nxt], nxt));
}
}
}
void solve(){
dijkstra(1, source);
if(!K){
Sol = source[N];
return;
}
FORi(i,0,K)
dijkstra(L[i], Dist[i]);
FORi(i,0,1<<K)
FORi(j,0,K)
if(i & (1<<j)){
if(i == 1<<j){
DP[i][j] = source[L[j]];
break;
}
DP[i][j] = INF;
FORi(k,0,K)
if(k != j && i & (1<<k))
DP[i][j] = min(DP[i][j], DP[i^(1<<j)][k] + Dist[k][L[j]]);
}
FORi(i,0,K)
Sol = min(Sol, DP[(1<<K) - 1][i] + Dist[i][N]);
}
void print(){
ofstream g(outfile);
g << Sol <<'\n';
g.close();
}
int main(){
read();
solve();
print();
return 0;
}