hdoj 2680 choose the best route

本文介绍了一种寻找城市公交路线中从起始站点到目标站点的最短时间路径的方法,通过Dijkstra算法和SPFA算法两种不同的实现方式,解决了如何在复杂的公交网络中找到最优路径的问题。
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
 
dijkstra代码:
 1 #include<stdio.h>
 2 #define INF 0x3f3f3f3f
 3 #define N 1010
 4 int vis[N], dis[N], cost[N][N];
 5 int n, m, s, w, p, q, t;
 6 int min(int x, int y)
 7 {
 8     
 9     return x < y ? x : y;
10 }  
11 void dijkstra(int beg)
12 {
13     int u, v;
14     for(u = 1; u <= n; u++)
15     {
16         vis[u] = 0;
17         dis[u] = INF;
18     }
19     dis[beg] = 0;
20     while(true)
21     {
22         v = -1;
23         for(u = 1; u <= n; u++)
24             if(!vis[u] && (v == -1 || dis[u] < dis[v]))
25                 v = u;
26         if(v == -1)
27             break;
28         vis[v] = 1;
29         for(u = 1; u <= n; u++)
30             dis[u] = min(dis[u], dis[v] + cost[v][u]);
31     }
32 }
33 int main()
34 {
35     int i , j;
36     while(~scanf("%d%d%d", &n, &m, &s))
37     {
38         for(i = 1; i <= n; i++)
39             for(j = i; j <= n; j++)
40                 cost[i][j] = cost[j][i] = INF;
41         while(m--)
42         {
43             scanf("%d%d%d", &p, &q, &t);
44             if(cost[q][p] > t)
45                 cost[q][p] = t;
46         }
47         scanf("%d", &w);
48         int sum = INF, b;
49         dijkstra(s);
50         for(i = 1; i <= w; i++)
51         {
52             scanf("%d", &b);
53             if(sum > dis[b])
54                 sum = dis[b];
55         }
56         
57         if(sum == INF)
58             printf("-1\n");
59         else
60             printf("%d\n", sum);
61     }
62     return 0;
63 } 

 

spfa代码:

 1 #include <stdio.h>
 2 #include <string.h>
 3 #include <queue>
 4 #define N 10000000
 5 #define M 1010
 6 #define INF 0x3f3f3f3f
 7 using namespace std;
 8 int n, m, s, cnt;
 9 int vis[M], head[M], time[M];
10 queue<int>q;
11 struct node
12 {
13     int from, to, cost, next;
14 }road[N];
15 void add(int x, int y, int z)
16 {
17     node e = {x, y, z, head[x]};
18     road[cnt] = e;
19     head[x] = cnt++;
20 }
21 void spfa()
22 {
23     while(!q.empty())
24     {
25         int u = q.front();
26         q.pop();
27         vis[u] = 0;
28         for(int i = head[u]; i != -1; i = road[i].next)
29         {
30             int v = road[i].to;
31             if(time[v] > time[u] + road[i].cost)
32             {
33                 time[v] = time[u] + road[i].cost;
34                 if(!vis[v])
35                 {
36                     vis[v] = 1;
37                     q.push(v);
38                 }
39             }
40         }
41     }
42 }
43 int main()
44 {
45     while(~scanf("%d%d%d", &n, &m, &s))
46     {
47         
48         memset(head, -1, sizeof(head));
49         memset(vis, 0, sizeof(vis));
50         memset(time, INF, sizeof(time));
51         while(m--)
52         {
53             int p, q, t;
54             scanf("%d%d%d", &p, &q, &t);
55             add(p, q, t);
56             //add(q, p, t);
57         }
58         int w;
59         scanf("%d", &w);
60         while(w--)
61         {
62             int posi;
63             scanf("%d", &posi);
64             q.push(posi);
65             time[posi] = 0;
66             vis[posi] = 1;
67         } 
68         spfa();
69         if(time[s] == INF)
70             printf("-1\n");
71         else
72             printf("%d\n", time[s]);
73     }
74     return 0;
75 }

 

转载于:https://www.cnblogs.com/digulove/p/4738452.html

评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值