Outlets
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 4182 Accepted Submission(s): 1911
Problem Description
In China, foreign brand commodities are often much more expensive than abroad. The main reason is that we Chinese people tend to think foreign things are better and we are willing to pay much for them. The typical example is, on the United Airline flight, they give you Haagendazs ice cream for free, but in China, you will pay $10 to buy just a little cup.
So when we Chinese go abroad, one of our most favorite activities is shopping in outlets. Some people buy tens of famous brand shoes and bags one time. In Las Vegas, the existing outlets can't match the demand of Chinese. So they want to build a new outlets in the desert. The new outlets consists of many stores. All stores are connected by roads. They want to minimize the total road length. The owner of the outlets just hired a data mining expert, and the expert told him that Nike store and Apple store must be directly connected by a road. Now please help him figure out how to minimize the total road length under this condition. A store can be considered as a point and a road is a line segment connecting two stores.
Input
There are several test cases. For each test case: The first line is an integer N( 3 <= N <= 50) , meaning there are N stores in the outlets. These N stores are numbered from 1 to N. The second line contains two integers p and q, indicating that the No. p store is a Nike store and the No. q store is an Apple store. Then N lines follow. The i-th line describes the position of the i-th store. The store position is represented by two integers x,y( -100<= x,y <= 100) , meaning that the coordinate of the store is (x,y). These N stores are all located at different place. The input ends by N = 0.
Output
For each test case, print the minimum total road length. The result should be rounded to 2 digits after decimal point.
Sample Input
4 2 3 0 0 1 0 0 -1 1 -1 0
Sample Output
3.41
Source
2012 Asia Hangzhou Regional Contest
直接相连的两个店先设为0，最后再加上
kruskal 已ac
#include <iostream>
#include <string>
#include <cstdio>
#include <iomanip>
#include <algorithm>
#include <cmath>
#define maxx 100
using namespace std;
int pre[maxx],n,index,p,q;
struct r
{
double x,y;
}rr[maxx];
struct Node
{
double u,v,len;
}node[maxx*maxx];//边
double dis(r a,r b)
{
return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));
}
int cmp(Node a,Node b){
return a.len<b.len;
}
void init(int n)//初始化
{
for(int i=1;i<=n;i++)
{
pre[i]=i;//自己的上级是自己
}
}
int find(int x)
{
if(pre[x]==x)
{
return x;
}else return pre[x]=find(pre[x]);
}
void mix(int x,int y)
{
int fx=find(x);
int fy=find(y);
if(fx!=fy)
{
pre[fx]=fy;
}
}
double kruskal()
{
sort(node,node+index,cmp);
init(n);
double ans=0;
ans=dis(rr[p],rr[q]);
for(int i=0;i<index;i++)
{
Node e=node[i];
if(find(e.u)!=find(e.v))
{
mix(e.u,e.v);
ans+=e.len;
}
} return ans;
}
int main()
{
while(cin>>n,n)
{
cin>>p>>q;
for(int i=1;i<=n;i++)
{
cin>>rr[i].x>>rr[i].y;
}
index=0;
for(int i=1;i<=n;i++)//构造边。
{
for(int j=i+1;j<=n;j++)
{
node[index].u=i;
node[index].v=j;
node[index].len=dis(rr[i],rr[j]);
if((i==p&&j==q)||(i==q&&j==p))
{
node[index].len=0;
}
index++;
}
}
double ans=kruskal();
cout<<fixed<<setprecision(2)<<ans<<endl;
}return 0;
}
好气哦 别人写的prim 都是对的 就我一写就是错的 。。下面是我的未ac- pirm 先保存吧 有空看。。
#include <iostream>
#include <string>
#include <algorithm>
#include <cstdio>
#include <iomanip>
#include <cstring>
#include <cmath>
#define maxx 105
#define inf 0x3f3f3f3f
using namespace std;
double dis[maxx],n,map[maxx][maxx];
int q,p;
int vis[maxx];
struct P{
double x,y;
}node[maxx];
double Dis(P a,P b)
{
return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));
}
double prim()
{
memset(vis,0,sizeof(vis));
memset(dis,inf,sizeof(dis));
for(int i=1;i<=n;i++)
{
dis[i]=map[1][i];
}
vis[1]=1;
dis[1]=0;
double ans=0;
for(int i=1;i<n;i++)
{
double minn=inf;
int k=-1;
for(int j=1;j<=n;j++)
{
if(!vis[j]&&dis[j]<minn)
{
minn=dis[j];
k=j;
}
}
vis[k]=1;
ans+=minn;
for(int l=1;l<=n;l++)
{
if(!vis[l]&&dis[l]>map[k][l])
{
dis[l]=map[k][l];
}
}
}
return ans;
}
int main()
{
while(cin>>n,n)
{
cin>>q>>p;
for(int i=1;i<=n;i++)
{
for(int j=1;j<=n;j++)
{
if(i==j) map[i][j]=0;
else map[i][j]=inf;
}
}
for(int i=1;i<=n;i++)
{
cin>>node[i].x>>node[i].y;
}
for(int i=1;i<=n;i++)
{
for(int j=i+1;j<=n;j++)
{
map[i][j]=Dis(node[i],node[j]);
if((i==p&&j==q)||(i==q&&j==p))
map[i][j]=0;
}
}
double ans=Dis(node[p],node[q]);
cout<<fixed<<setprecision(2)<<ans+prim()<<endl;
} return 0;
}
