#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
struct Dsu {
vector<int> parent, rank, size;
Dsu(int N) {
parent.resize(N);
rank.resize(N);
size.resize(N, 1);
for (int i = 0; i < N; i++){
parent[i] = i;
}
}
bool isSameSet(int i, int j){
return findSet(i) == findSet(j);
}
int findSet(int i) {
if(parent[i] == i){
return i;
}else{
return parent[i] = findSet(parent[i]);
}
}
void unionSet(int i, int j){
int x = findSet(i);
int y = findSet(j);
if (x != y){
if (rank[x] > rank[y]){
parent[y] = x;
size[x] += size[y];
}else if(rank[x] < rank[y]){
parent[x] = y;
size[y] += size[x];
}else{
parent[x] = y;
size[y] += size[x];
rank[y]++;
}
}
}
int getSize(int i){
return size[findSet(i)];
}
};
int main(){
int n;
cin >> n;
pair<long double, long double> ubicaciones[n];
long double x,y;
for (int i = 0; i<n; i++){
cin >> x >> y;
ubicaciones[i].first = x;
ubicaciones[i].second = y;
}
vector<pair< long double,pair<int,int>>> edges;
for (int i = 0; i<n; i++){
for(int j = 0; j<n; j++){
if(i == j) continue;
ld dx = ubicaciones[i].first - ubicaciones[j].first;
ld dy = ubicaciones[i].second - ubicaciones[j].second;
long double distancia = sqrt(dx * dx + dy * dy);
edges.push_back({distancia,{i,j}});
}
}
sort(edges.begin(), edges.end());
Dsu dsu(n);
// Kruskal
long double costo_total = 0;
for(int i = 0; i < edges.size(); i++){
ld w = edges[i].first;
int a = edges[i].second.first;
int b = edges[i].second.second;
if(!dsu.isSameSet(a, b)){ // Si a y b no estan en la misma componente conexa
dsu.unionSet(a, b); // entonces las uno
costo_total = w;
}
}
costo_total /= 2.0L;
cout << fixed<< setprecision(7) << costo_total << endl;
return 0;
}
// este codigo es de Francisco Pinhao xd
Compilation message
odasiljaci.cpp: In function 'int main()':
odasiljaci.cpp:81:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long double, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
81 | for(int i = 0; i < edges.size(); i++){
| ~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
728 KB |
Output is correct |
5 |
Correct |
3 ms |
980 KB |
Output is correct |
6 |
Correct |
51 ms |
9672 KB |
Output is correct |
7 |
Correct |
53 ms |
10180 KB |
Output is correct |
8 |
Correct |
121 ms |
34984 KB |
Output is correct |
9 |
Correct |
195 ms |
35248 KB |
Output is correct |
10 |
Correct |
191 ms |
34228 KB |
Output is correct |