题解 | #Freckles#
Freckles
https://www.nowcoder.com/practice/41b14b4cd0e5448fb071743e504063cf
#include <ios>
#include <iostream>
#include <algorithm>
#include <cmath>
#include <iomanip>
using namespace std;
const int MAX = 100;
struct Point {
int number;
double x;
double y;
};
double pointlength(Point x,Point y){
return sqrt((x.x-y.x)*(x.x-y.x)+(x.y-y.y)*(x.y-y.y));
}
struct Edge{
Point start;
Point end;
double length;
bool operator<(const Edge e)const{
return length<e.length;
}
};
Edge edge[MAX*MAX];
Point point[MAX];
int father[MAX];
int height[MAX];
void getedge(int n){
int k=0;
for(int i = 0;i<n;++i){
for(int j = i+1;j<n;++j){
edge[k].start=point[i];
edge[k].end=point[j];
edge[k].length=pointlength(edge[k].start,edge[k].end);
k++;
}
}
}
void initial(int n){
for(int i = 0 ; i < n ; ++i){
father[i]=i;
height[i]=0;
}
return;
}
int find(int k){
if(k!=father[k]){
father[k]=find(father[k]);
}
return father[k];
}
void Union(int x,int y ){
x=find(x);
y=find(y);
if(x!=y){
if(height[x]<height[y]){
father[x]=y;
}else if (height[x]>height[y]) {
father[y]=x;
}else{
father[x]=y;
height[y]++;
}
}
return ;
}
double Kruskal(int n,int edgenum){
double sum=0;
initial(n);
for(int i= 0 ;i<n;++i){
cin>>point[i].x>>point[i].y;
point[i].number=i;
}
getedge(n);
sort(edge,edge+edgenum);
for(int i = 0;i<edgenum;++i){
if(find(edge[i].start.number)!=find(edge[i].end.number)){
Union(edge[i].start.number, edge[i].end.number);
sum+=edge[i].length;
}
}
return sum;
}
int main() {
int n;
while(cin>>n){
cout<<setiosflags(ios::fixed)<<setprecision(2)<<Kruskal(n, n*(n-1)/2)<<endl;
}
}