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堆优化Dijkstra#include <iostream>
#include <vector>
#include <cmath>
#include <queue>
#include <algorithm>
#include <iomanip>
using namespace std;
const int MAXN=205;
const int INF=0x3f3f3f3f;
struct Edge{
int to;
double w;
Edge(){}
Edge(int cto,double cw):to(cto),w(cw){}
bool operator<(const Edge& e) const
{
return w > e.w;
}
};
struct Point{
int y,x;
}points[MAXN];
vector<Edge> arc[MAXN];
int n;
double dist(int x1,int y1,int x2,int y2)
{
return sqrt(double((x2-x1)*(x2-x1)+(y2-y1)*(y2-y1)));
}
double d[MAXN];
int vis[MAXN];
double dijkstra(int s)
{
for(int i=1;i<=n;i++)
{
d[i]=INF;
vis[i]=0;
}
priority_queue<Edge> que;
que.push(Edge(s,0));
d[s]=0;
while(!que.empty())
{
Edge now=que.top();que.pop();
int u=now.to;
if(vis[u]) continue;
vis[u]=1;
for(int i=0;i<arc[u].size();i++)
{
Edge e=arc[u][i];
double mx=max(d[u],e.w);
if(d[e.to]>mx)
{
d[e.to]=mx;
que.push(Edge(e.to,mx));
}
}
}
return d[2];
}
int main()
{
int cas=1;
while(cin>>n&&n!=0)
{
for(int i=1;i<=n;i++) arc[i].clear();
for(int i=0;i<n;i++)
{
cin>>points[i].y>>points[i].x;
}
for(int i=0;i<n;i++)
{
for(int j=0;j<i;j++)
{
double d=dist(points[i].x,points[i].y,points[j].x,points[j].y);
arc[i+1].push_back(Edge(j+1,d));
arc[j+1].push_back(Edge(i+1,d));
}
}
double res=dijkstra(1);
cout<<"Scenario #"<<cas++<<endl;
cout<<"Frog Distance = "<<showpoint<<setprecision(3)<<fixed<<res<<endl;
cout<<endl;
}
return 0;
}
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