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Cod sursa(job #674184)
// http://infoarena.ro/problema/ubuntzei
#include <fstream>
#include <algorithm>
#include <vector>
using namespace std;
const int oo = 0x3f3f3f3f;
const int MAX_SIZE = 2001;
const int MAX_FRIENDS = 16;
ifstream in("ubuntzei.in");
ofstream out("ubuntzei.out");
int nodes,edges,nrFriends,minLength = oo;
int matrix[MAX_SIZE][MAX_SIZE];
vector<int> friends;
void backtrack(int level);
bool stackValid(int level);
int pathLength();
int main() {
in >> nodes >> edges >> nrFriends;
int from,to;
for(int i=1;i<=nrFriends;i++) {
in >> from;
friends.push_back(from);
}
for(int i=1;i<=edges;i++) {
in >> from >> to;
in >> matrix[from][to];
matrix[to][from] = matrix[from][to];
}
for(int k=1;k<=nodes;k++)
for(int i=1;i<=nodes;i++)
for(int j=1;j<=nodes;j++)
if(matrix[i][k] && matrix[k][j] && (!matrix[i][j] || matrix[i][j] > matrix[i][k] + matrix[k][j]) && i!=j)
matrix[i][j] = matrix[i][k] + matrix[k][j];
//nrFriends = 4;
if(nrFriends) {
do {
minLength = min(minLength,pathLength());
} while(next_permutation(friends.begin(),friends.end()));
out << minLength << "\n";
}
else
out << matrix[1][nodes] << "\n";
return (0);
}
int pathLength() {
int length = 0;
length += matrix[1][friends.front()];
for(int i=1;i<nrFriends;i++)
length += matrix[friends[i-1]][friends[i]];
length += matrix[friends.back()][nodes];
return length;
}