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Cod sursa(job #674121)
// http://infoarena.ro/problema/ubuntzei
#include <fstream>
#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];
int friends[MAX_FRIENDS];
int stack[MAX_FRIENDS];
void backtrack(int level);
bool stackValid(int level);
int pathLength();
int main() {
in >> nodes >> edges >> nrFriends;
for(int i=1;i<=nrFriends;i++)
in >> friends[i];
int from,to;
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) {
backtrack(1);
out << minLength << "\n";
}
else
out << matrix[1][nodes] << "\n";
return (0);
}
void backtrack(int level) {
if(level <= nrFriends)
for(int i=1;i<=nrFriends;i++) {
stack[level] = i;
if(stackValid(level)) {
if(level == nrFriends) {
/*for(int k=1;k<=level;k++)
out << stack[k] << " ";
out << "\n";*/
minLength = min(minLength,pathLength());
}
backtrack(level+1);
}
}
}
bool stackValid(int level) {
if(level > 1)
for(int i=1;i<level;i++)
for(int k=i+1;k<=level;k++)
if(stack[i] == stack[k])
return false;
return true;
}
int pathLength() {
int length = 0;
length += matrix[1][friends[stack[1]]];
for(int i=2;i<=nrFriends;i++)
length += matrix[friends[stack[i-1]]][friends[stack[i]]];
length += matrix[friends[stack[nrFriends]]][nodes];
return length;
}