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Cod sursa(job #898516)
#include <iostream>
#include <fstream>
#include <vector>
#include <algorithm>
#include <cstring>
#include <queue>
using namespace std;
int N, M, K, C[2005], i, j;
vector<pair<int, int> > V[10005];
int D[2005];
int DIST[15][2005];
int solve(int ST, int DMIN[])
{
bool inQ[10005];
queue<int> Q;
int i;
for(i=1;i<=10005;++i)
DMIN[i] = 0x3f3f3f3f, inQ[i] = false;
Q.push(ST);
DMIN[ST] = 0;
inQ[ST] = true;
while(!Q.empty())
{
int now = Q.front();
inQ[now] = false;
Q.pop();
for(vector<pair<int, int> >::iterator it=V[now].begin();it!=V[now].end();++it)
if(DMIN[now] + it->second < DMIN[it->first])
{
DMIN[it->first] = DMIN[now] + it->second;
if(!inQ[it->first])
{
Q.push(it->first);
inQ[it->first] = true;
}
}
}
}
int main()
{
freopen("ubuntzei.in", "r", stdin);
freopen("ubuntzei.out", "w", stdout);
cin>>N>>M;
cin>>K;
for(i=0;i<K;++i)
cin>>C[i];
for(i=1;i<=M;++i)
{
int A, B, z;
scanf("%d %d %d", &A, &B, &z);
V[A].push_back(make_pair(B, z));
V[B].push_back(make_pair(A, z));
}
solve(1, D);
if(K == 0)
cout<<D[N]<<"\n";
else
{
for(i=1;i<=K+1;++i)
solve(C[i-1], DIST[i]);
/*
for(i=1;i<=N;++i)
cout<<(D[i] == 0x3f3f3f3f ? -1 : D[i])<<" ";
cout<<"\n";
for(i=1;i<=K;++i)
{
for(j=1;j<=N;++j)
cout<<(DIST[i][j] == 0x3f3f3f3f ? -1 : DIST[i][j])<<" ";
cout<<"\n";
}
*/
int rez = D[C[0]];
for(i=1;i<K;++i)
rez += DIST[C[i-1]-1][C[i]];
rez += DIST[C[i-1]-1][N];
while(next_permutation(C, C + K))
{
int rez_tmp = D[C[0]];
for(i=1;i<K;++i)
rez_tmp += DIST[C[i-1]-1][C[i]];
rez_tmp += DIST[C[i-1]-1][N];
if(rez_tmp < rez)
rez = rez_tmp;
}
cout<<rez<<"\n";
}
return 0;
}