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P11710.cpp
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int find(int x, int *parents) {
if(parents[x] != x)
parents[x] = find(parents[x], parents);
return parents[x];
}
bool _union(int x, int y, int *parents, int *ranks) {
int xRoot = find(x, parents);
int yRoot = find(y, parents);
if(xRoot == yRoot)
return false;
// x and y are not already in same set. Merge them.
if(ranks[xRoot] < ranks[yRoot])
parents[xRoot] = yRoot;
else if(ranks[xRoot] > ranks[yRoot])
parents[yRoot] = xRoot;
else {
parents[yRoot] = xRoot;
++ranks[xRoot];
}
return true;
}
typedef pair<int,PI> WPI;
int main() {
//vector<WeightAndVertex> adjacencyLists[401];
int parents[401], ranks[401];
WPI edges[79801];
string name, name2;
int N, M, s, t, w;
while(true) {
cin >> N >> M;
if(N == 0 && M == 0)
return 0;
map<string,int> names;
FORI(N) {
ranks[i] = 0;
parents[i] = i;
cin >> name;
names.insert(make_pair(name, (int)names.size()));
}
FORI(M) {
cin >> name >> name2 >> w;
s = names[name];
t = names[name2];
edges[i] = WPI(w, PI(s,t));
}
sort(edges, edges+M);
cin >> name;
int sum = 0;
FORI(M) {
w = edges[i].first;
PI p = edges[i].second;
if(_union(p.P1, p.P2, parents, ranks)) {
sum += w;
}
}
s = find(names[name], parents);
FORI(N) {
if(find(i, parents) != s) {
sum = -1;
break;
}
}
// Find maximum flow path between S and D:
if(sum == -1)
cout << "Impossible" << endl;
else
cout << sum << endl;
}
}