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1.65 kB
| using namespace std; | |
| struct UnionFind{ | |
| vector <int> path, rank; | |
| UnionFind(int N_){ | |
| rank.assign(N_, 0); | |
| path.assign(N_, 0); | |
| for(int it = 0; it < N_; it++) path[it] = it; | |
| }; | |
| int findSet(int idx){ | |
| return ( path[idx] == idx ? idx : path[idx] = findSet(path[idx]) ); | |
| } | |
| bool isSameSet(int idx1, int idx2){ | |
| return ( findSet(idx1) == findSet(idx2) ); | |
| } | |
| void unionSet(int idx1, int idx2){ | |
| if( isSameSet(idx1, idx2) ) return; | |
| int x = findSet(idx1), y = findSet(idx2); | |
| if( rank[x] > rank[y] ) path[y] = x; | |
| else path[x] = y; | |
| if( rank[x] == rank[y] ) rank[y]++; | |
| } | |
| }; | |
| typedef pair <int, int> ii; | |
| const int SIZE = 110; | |
| int tc, n; | |
| float x[SIZE], y[SIZE]; | |
| vector < pair <float, ii > > EdgeList; | |
| float Kruskal(){ | |
| EdgeList.clear(); | |
| for(int i = 0; i < n; i++) | |
| for(int j = i + 1; j < n; j++) | |
| EdgeList.push_back( make_pair( hypot(x[i] - x[j], y[i] - y[j]), ii(i , j) ) ) ; | |
| sort(EdgeList.begin(), EdgeList.end()); | |
| UnionFind UF(n); | |
| float min_cost = 0, setSize = 1; | |
| for(int it = 0; it < EdgeList.size(); it++){ | |
| pair <float, ii > front = EdgeList[it]; | |
| if( not UF.isSameSet(front.second.first, front.second.second) ) | |
| min_cost += front.first, setSize++; | |
| UF.unionSet(front.second.first, front.second.second); | |
| if( setSize == n ) break; | |
| } | |
| return min_cost; | |
| } | |
| int main(){ | |
| scanf("%d", &tc); | |
| while(tc--){ | |
| scanf("%d", &n); | |
| for(int it = 0; it < n; it++) scanf("%f %f", x + it, y + it); | |
| printf("%.2f\n", Kruskal()); | |
| if(tc) putchar('\n'); | |
| } | |
| return(0); | |
| } | |