• poj 2502


    Subway
                                            

    > ***|You have just moved from a quiet Waterloo neighbourhood to a big, noisy city. Instead of getting to ride your bike to school every day,
    > you now get to walk and take the subway. Because you don't want to be
    > late for class, you want to know how long it will take you to get to
    > school. You walk at a speed of 10 km/h. The subway travels at 40 km/h.
    > Assume that you are lucky, and whenever you arrive at a subway
    > station, a train is there that you can board immediately. You may get
    > on and off the subway any number of times, and you may switch between
    > different subway lines if you wish. All subway lines go in both
    > directions. Input Input consists of the x,y coordinates of your home
    > and your school, followed by specifications of several subway lines.
    > Each subway line consists of the non-negative integer x,y coordinates
    > of each stop on the line, in order. You may assume the subway runs in
    > a straight line between adjacent stops, and the coordinates represent
    > an integral number of metres. Each line has at least two stops. The
    > end of each subway line is followed by the dummy coordinate pair
    > -1,-1. In total there are at most 200 subway stops in the city. Output Output is the number of minutes it will take you to get to school,
    > rounded to the nearest minute, taking the fastest route.|  |***
     


    **Sample Input**

        0 0 10000 1000
        0 200 5000 200 7000 200 -1 -1
        2000 600 5000 600 10000 600 -1 -1

    **Sample Output**

        21


    题目大意:
        给你俩个坐标第一个为家,第二个为学校。
        之后每一行给出一条地铁线路,给个线路相邻的俩个站点连通,每一条地铁线以-1 -1 结束。最多200个站点;
        步行速度10km/h 地铁40km/h;

    难点是建图,用链接矩阵储存,如果是同一条线路且为上一个站点time=d /(40 * 1000 / 60);否则为d /(10 * 1000/60),在nmap[i][j]比较取小

    最后ans四舍五入;

    #include<cstdio>
    #include<iostream>
    #include<cstring>
    #include<cmath>
    #include<algorithm>
    #include<queue>
    #include<map>
    #include<stack>
    
    const int maxn=505;
    
    using namespace std;
    
    double nmap[maxn][maxn],d[maxn];
    
    struct node{
        int x,y;
    }e[maxn];
    
    int vis[maxn],m,tot=0;
    
    double len(node a,node b)
    {
        return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));
    }
    
    void spfa(int st)
    {
    	memset(vis,0,sizeof(vis));
    	memset(d,125,sizeof(d));
    	queue<int>q;
    	q.push(st);
    	vis[st]=1;
    	d[st]=0;
    	while(q.size())
    	{
    		int now=q.front();
    		q.pop();
    		vis[now]=0;
    		for(int i=1;i<=tot;i++)
    		{
    			double w=nmap[now][i];
    			if(d[i]>d[now]+w)
    			{
    				d[i]=d[now]+w;
    				if(vis[i]==0)
    				{
    					vis[i]=1;
    					q.push(i);
    				}
    			}
    		}
    	}
    }
    
    int main(){
        int x,y,last=3;
        memset(nmap,125,sizeof(nmap));
        
        while(scanf("%d%d",&x,&y)!=EOF)
        {
            if(x==-1&&y==-1)
            {
                last=tot+1;
                continue;
            }
            else
            {
                e[++tot]=(node){x,y};
                for(int j=1;j<=tot;j++)
                {
                    double tmp=len(e[tot],e[j]);
                    if(j==tot-1&&j>=last) tmp/=(40.0*1000/60);
                    else tmp/=(10.0*1000/60);
                    nmap[j][tot]=nmap[tot][j]=min(nmap[tot][j],tmp);
                }
            }
        }
    
        spfa(1);
        printf("%d
    ",(int)floor(d[2]+0.5));
        return 0;
    }
    


       

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  • 原文地址:https://www.cnblogs.com/minun/p/10473785.html
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