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Cod sursa(job #580947)
#include <cstdio>
#include <vector>
#include <set>
#include <climits>
#define DIM 2100
#define INF 0x3f3f3f3f
using namespace std;
long n, m, k;
vector<pair<long,long> > G[DIM];
long f[DIM];
long dest[DIM], pl[DIM];
vector<vector<long> > c;
long x[DIM];
bool s[DIM];
long sol(INF);
set<pair<long,long> > T;
long d[DIM];
void Perm(int k);
void Dijkstra(long root);
void Ver();
int main()
{
freopen("ubuntzei.in", "r", stdin);
freopen("ubuntzei.out", "w", stdout);
scanf("%d %d", &n, &m);
scanf("%d", &k);
for (int i = 1; i <= k; ++i)
scanf("%d", &f[i]);
int x, y, cost;
for (int i = 1; i <= m; ++i)
{
scanf("%d %d %d", &x, &y, &cost);
G[x].push_back(make_pair(y,cost));
G[y].push_back(make_pair(x,cost));
}
if (k == 0)
{
Dijkstra(1);
printf("%ld\n", d[n]);
}
else
{
c.resize(n+1);
for (int i = 1; i <= n; ++i) c[i].resize(n+1);
for (int i = 1; i <= k; ++i)
{
Dijkstra(f[i]);
pl[i] = d[1];
dest[i] = d[n];
for (int j = 1; j <= k; ++j)
c[i][j] = d[f[j]];
}
/*for (int i = 1; i <= k; ++i)
{
//for (int j = 1; j <= k; ++j)
printf("%d ", pl[i]);
printf("\n");
}*/
Perm(1);
printf("%ld\n", sol);
}
fclose(stdin);
fclose(stdout);
return 0;
}
void Dijkstra(long root)
{
for (int i = 1; i <= n; ++i)
d[i] = INF;
d[root] = 0;
T.insert(make_pair(0, root));
set<pair<long,long> >::iterator it;
while (!T.empty())
{
it = T.begin();
int nod = it->second;
//int val = it->first; // == d[nod]
T.erase(it);
for (int i = 0; i < (int) G[nod].size(); ++i)
{
int son = G[nod][i].first;
int vv = G[nod][i].second;
if (d[son] > d[nod] + vv)
{
d[son] = d[nod] + vv;
T.insert(make_pair(d[son], son));
}
}
}
}
void Perm(int y)
{
if (y == k + 1)
{
Ver();
return;
}
for (int i = 1; i <= k; ++i)
{
x[y] = i;
if (!s[i])
{
s[i] = 1;
Perm(y+1);
s[i] = 0;
}
}
}
void Ver()
{
long nr = 0;
nr += pl[x[1]];
for (int i = 1; i < k; ++i)
nr += c[x[i]][x[i+1]];
nr += dest[x[k]];
if (nr < sol) sol = nr;
}