Til the Cows Come Home

来源:互联网 发布:微信公众号seo 编辑:程序博客网 时间:2024/06/01 07:55

Bessie is out in the field and wants to get back to the barn to get as much sleep as possible before Farmer John wakes her for the morning milking. Bessie needs her beauty sleep, so she wants to get back as quickly as possible. 

Farmer John's field has N (2 <= N <= 1000) landmarks in it, uniquely numbered 1..N. Landmark 1 is the barn; the apple tree grove in which Bessie stands all day is landmark N. Cows travel in the field using T (1 <= T <= 2000) bidirectional cow-trails of various lengths between the landmarks. Bessie is not confident of her navigation ability, so she always stays on a trail from its start to its end once she starts it. 

Given the trails between the landmarks, determine the minimum distance Bessie must walk to get back to the barn. It is guaranteed that some such route exists.
Input
* Line 1: Two integers: T and N 

* Lines 2..T+1: Each line describes a trail as three space-separated integers. The first two integers are the landmarks between which the trail travels. The third integer is the length of the trail, range 1..100.
Output
* Line 1: A single integer, the minimum distance that Bessie must travel to get from landmark N to landmark 1.
Sample Input
5 51 2 202 3 303 4 204 5 201 5 100
Sample Output
90
Hint
INPUT DETAILS: 

There are five landmarks. 

OUTPUT DETAILS: 

Bessie can get home by following trails 4, 3, 2, and 1.

单源最短路模板题

#include<stdio.h>#include<string.h>#include<queue>#define maxn 1005#define maxe 2005#define inf 0x3f3f3f3fusing namespace std;int head[maxn],dis[maxn],cnt,t,n;bool vis[maxn];struct Edge{int v,w,next;}edge[maxe*2];struct list{int p,d;list() {}list(int _p,int _d){p=_p;d=_d;}friend bool operator <(struct list a,struct list b){return a.d>b.d;}};void add_edge(int u,int v,int w){edge[cnt].v=v;edge[cnt].w=w;edge[cnt].next=head[u];head[u]=cnt++;}void dijkstra(int s){memset(dis,inf,sizeof(dis));memset(vis,0,sizeof(vis));priority_queue<struct list> q;dis[s]=0;q.push(list(s,0));while(!q.empty()){struct list Q=q.top();q.pop();if(vis[Q.p])continue;vis[Q.p]=true;for(int i=head[Q.p];i!=-1;i=edge[i].next){int to=edge[i].v;if(dis[to]>dis[Q.p]+edge[i].w){dis[to]=dis[Q.p]+edge[i].w;q.push(list(to,dis[to]));}}}}int main(){scanf("%d%d",&t,&n);cnt=0;memset(head,-1,sizeof(head));while(t--){int u,v,w;scanf("%d%d%d",&u,&v,&w);add_edge(u,v,w);add_edge(v,u,w);}dijkstra(1);printf("%d",dis[n]);return 0;}