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Cod sursa(job #892989)
#include <cstdio>
#include <vector>
#include <queue>
#define inf 2000000000
using namespace std;
struct NOD{int x,c;};
vector<NOD> L[2013];
queue<int> Q;
int n, m, k;
int loc[20], d[2012],dist[15][2013],best[15][(1<<15)];
void Read()
{
int i,x,y;
NOD aux;
freopen("ubuntzei.in","r",stdin);
scanf("%d %d", &n, &m);
scanf("%d",&k);
for(i=0; i<k; i++)
scanf("%d",&loc[i]);
for(i=1; i<=m; i++)
{
scanf("%d %d %d", &x, &y, &aux.c);
aux.x = y;
L[x].push_back(aux);
aux.x = x;
L[y].push_back(aux);
}
}
void Initializare(int v[])
{
for(int i=1; i<=n; i++)
v[i] = inf;
}
void Bellmanford(int nod, int v[])
{
Initializare(v);
v[nod] = 0;
Q.push(nod);
while(!Q.empty())
{
int k = Q.front();
Q.pop();
vector<NOD>::iterator it;
for(it=L[k].begin(); it!=L[k].end(); it++)
{
NOD aux = *it;
if(v[aux.x] > v[k] + aux.c)
{
v[aux.x] = v[k] + aux.c;
Q.push(aux.x);
}
}
}
}
void Solve()
{
Bellmanford(1,d);
if(k==0)
{
freopen("ubuntzei.out","w",stdout);
printf("%d\n", d[n]);
return;
}
int i,j;
for(i=0; i<k; i++)
Bellmanford(loc[i],dist[i]);
int nrmul = (1<<k)-1;
for(int mul = 1; mul <= nrmul; mul++)
{
bool ok = false;
for(i=0; i<k && !ok; i++)
if(mul == (1<<i))
{
ok = true;
best[i][mul] = d[loc[i]];
}
if(!ok)
{
for(i=0; i<k; i++)
{
best[i][mul] = inf;
if((mul & (1<<i)) != 0)
for(j=0; j<k; j++)
if(i != j && (mul & (1<<j) != 0))
best[i][mul] = min(best[i][mul],best[j][mul-(1<<i)]+dist[j][loc[i]]);
}
}
}
int sol = inf;
for(i=0; i<k; i++)
sol = min(sol, best[i][nrmul] + dist[i][n]);
freopen("ubuntzei.out","w",stdout);
printf("%d\n", sol);
}
int main()
{
Read();
Solve();
return 0;
}