• HDU 2680 Choose the best route(dijkstra)


    Problem Description
    One day , Kiki wants to visit one of her friends. As she is liable to carsickness , she wants to arrive at her friend’s home as soon as possible . Now give you a map of the city’s traffic route, and the stations which are near Kiki’s home so that she can take. You may suppose Kiki can change the bus at any station. Please find out the least time Kiki needs to spend. To make it easy, if the city have n bus stations ,the stations will been expressed as an integer 1,2,3…n.
     
    Input
    There are several test cases.
    Each case begins with three integers n, m and s,(n<1000,m<20000,1=<s<=n) n stands for the number of bus stations in this city and m stands for the number of directed ways between bus stations .(Maybe there are several ways between two bus stations .) s stands for the bus station that near Kiki’s friend’s home.
    Then follow m lines ,each line contains three integers p , q , t (0<t<=1000). means from station p to station q there is a way and it will costs t minutes .
    Then a line with an integer w(0<w<n), means the number of stations Kiki can take at the beginning. Then follows w integers stands for these stations.
     
    Output
    The output contains one line for each data set : the least time Kiki needs to spend ,if it’s impossible to find such a route ,just output “-1”.
     
    Sample Input
    5 8 5
    1 2 2
    1 5 3
    1 3 4
    2 4 7
    2 5 6
    2 3 5
    3 5 1
    4 5 1
    2
    2 3
    4 3 4
    1 2 3
    1 3 4
    2 3 2
    1
    1
     
    Sample Output
    1
    -1
     
    把w个火车站当成出发点0,s为最终要到的地方,最短路径,跟2066一个人的旅行一样
     1 #include<stdio.h>
     2 #include<string.h>
     3 #include<algorithm>
     4 const int inf=1<<30;
     5 using namespace std;
     6 int dis[1010],vis[1010];
     7 int n,m,s,p,t,q,w,Map[1010][1010];
     8 int e[1010];
     9 void Dijkstra(){//模板 
    10     int minn,mark;
    11     memset(vis,0,sizeof(vis));
    12     vis[0]=1;
    13     for(int i=0;i<=n;i++)
    14         dis[i]=Map[0][i];
    15     for(int i=1;i<=n;i++){
    16         minn=inf,mark=-1;
    17         for(int j=1;j<=n;j++){
    18             if(dis[j]<minn&&!vis[j]){
    19                 minn=dis[j];
    20                 mark=j;
    21             }
    22         }
    23         if(mark==-1)
    24             break;
    25         vis[mark]=1;
    26         for(int j=1;j<=n;j++){
    27             if(dis[j]>dis[mark]+Map[mark][j]&&!vis[j])
    28                 dis[j]=dis[mark]+Map[mark][j]; 
    29         }
    30     }
    31 }
    32 
    33 
    34 int main(){
    35     while(scanf("%d%d%d",&n,&m,&s)!=EOF){
    36         for(int i=0;i<=n;i++){
    37             for(int j=0;j<=n;j++){
    38                 Map[i][j]=inf;
    39             }
    40             Map[i][i]=0;
    41         }
    42         for(int i=0;i<m;i++){
    43             scanf("%d%d%d",&p,&q,&t);
    44             if(t<Map[p][q])
    45                 Map[p][q]=t; 
    46         }
    47         scanf("%d",&w);
    48         for(int i=0;i<w;i++){
    49             scanf("%d",&e[i]);//开始的出发点 
    50             Map[0][e[i]]=0;
    51         }
    52         Dijkstra();
    53         if(dis[s]==inf){ //s为最终要到的地方 
    54             printf("-1
    ");
    55         }
    56         else
    57             printf("%d
    ",dis[s]);
    58     }
    59     return 0;
    60 } 
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  • 原文地址:https://www.cnblogs.com/cake-lover-77/p/10223979.html
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