Choose the best route
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 8927 Accepted Submission(s):
2900
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.
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
#include<stdio.h> #include<string.h> #include<algorithm> #define MAX 1100 #define INF 0x3f3f3f using namespace std; int visit[MAX],map[MAX][MAX],low[MAX],time[MAX]; int sta; int tou; bool cmp(int a,int b) { return a<b; } void dijkstra(int tou) { int j,i,min,next; memset(visit,0,sizeof(visit)); for(i=1;i<=sta;i++) low[i]=map[tou][i]; visit[tou]=1; for(i=1;i<sta;i++) { min=INF; for(j=1;j<=sta;j++) { if(!visit[j]&&min>low[j]) { min=low[j]; next=j; } } visit[next]=1; for(j=1;j<=sta;j++) { if(!visit[j]&&low[j]>low[next]+map[next][j]) low[j]=low[next]+map[next][j]; } } } int main() { int i,j,m,p,q,t,w,sum,k; while(scanf("%d%d%d",&sta,&m,&tou)!=EOF) { memset(time,0,sizeof(time)); for(i=1;i<=sta;i++) { for(j=1;j<=sta;j++) { if(i==j) map[i][j]=0; else map[i][j]=INF; } } while(m--) { scanf("%d%d%d",&p,&q,&t); if(map[q][p]>t) map[q][p]=t; //注意此处,因为此题计算时是将终点作为起点计算的 } //所以此处给map数组赋值时要注意 dijkstra(tou); scanf("%d",&w); for(i=0;i<w;i++) { scanf("%d",&k); time[i]=low[k]; } sort(time,time+w,cmp); if(time[0]==INF) printf("-1 "); else printf("%d ",time[0]); } return 0; }