HDU 2680 Choose the best route【最短路】

谁借莪１个温暖的怀抱￠ 2022-06-04 23:41 140阅读 0赞

## Choose the best route ##

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)  
Total Submission(s): 16156 Accepted Submission(s): 5265

#### 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

#### 题目描述： ####

给你KIKI家附近的公交站，和KIKI朋友家的标号，问KIKI到朋友家最少需要多少时间。

#### 解题分析： ####

因为公交站的序号是从1开始的，所以可以假设KIKI家的序号为0，记从KIKI家到附近的公交站所花费的时间为0，再用dijkstra跑一边，最后输出的结果就是到KIKI朋友家的最少时间。

#### AC代码： ####

#include<stdio.h>
    #include<string.h>
    
    #define N 1005
    #define inf 99999999
    
    int dis[N], e[N][N], book[N];
    
    void dijkstra(int n)
    {
        int i, j = inf, k, Min;
        memset(book, 0, sizeof(book));
        for(i = 1; i <= n; i++)
            dis[i] = e[0][i];
        book[0] = 1;
        for(k = 0; k < n; k++){
            Min = inf;
            for(i = 1; i <= n; i++)
                if(!book[i] && dis[i] < Min)
                    j = i, Min = dis[i];
            if(j == inf) break;
            book[j] = 1;
            for(i = 1; i <= n; i++)
                if(!book[i] && dis[i] > dis[j]+e[j][i])
                    dis[i] = dis[j]+e[j][i];
        }
    }
    
    int main()
    {
        int i, j, n, m, s, u, v, w;
        while(~scanf("%d%d%d", &n, &m, &s)){
            for(i = 0; i <= n; i++){
                for(j = 1; j <= n; j++)
                    e[i][j] = inf;
                e[i][i] = 0;
            }
            while(m--){
                scanf("%d%d%d", &u, &v, &w);
                if(e[u][v] > w) e[u][v] = w;
            }
            scanf("%d", &m);
            while(m--){
                scanf("%d", &u);
                e[0][u] = 0;
            }
            dijkstra(n);
            printf("%d\n", dis[s]==inf?-1:dis[s]);
        }
        return 0;
    }