http://acm.hdu.edu.cn/showproblem.php?pid=2680
Problem Descriptionone 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 your a map of the city ' s traffic route, and the stations which is near Kiki's home so, she can take. Suppose Kiki can change the bus at any station. Please find the least time Kiki needs to spend. To make it easy, if the city has n bus stations, the stations would been expressed as an integer 1,2,3...N.
Inputthere is 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 statio NS in this city and M stands for the number of directed ways between bus stations. (maybe there is several ways between, 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 and it'll 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.
Outputthe 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 51 2 21 5 31 3 42 4 72 5 62 3 53 5 14 5 122 34 3 41 2 31 3 42 3 211
Sample Output
1-1
Such a method can find the shortest path from multiple starting points. Save time
Dijkstra
#include <stdio.h> #include <string.h> #define INF 0x3f3f3f3fint map[1010][1010];int dis[20200];bool used[ 20200];int n;int e;int Dijkstra () {int I,j;memset (used,0,sizeof (used)); for (i=0;i<=n;++i) Dis[i]=inf;int pos;for (i= 0;i<=n;++i)//For the DIS assignment for the first time {dis[i]=map[0][i];} Dis[0]=0;used[0]=1;for (i=0;i<n;++i)//execute up to n times {int min=inf;for (J=0;J<=N;++J) {if (!used[j]&&dis[j]< min) {min=dis[j];p os=j;}} Used[pos]=1;if (pos==e) return dis[pos];for (J=0;J<=N;++J)//update the DIS array. Also called slack {if (!used[j]&&dis[j]>map[pos][j]+dis[pos]) {Dis[j]=map[pos][j]+dis[pos];}}} return-1;} int main () {int m,s,t;int u,v,w;int temp;int i,j;while (~scanf ("%d%d%d", &n,&m,&e)) {for (i=0;i<=n;++i) fo R (j=0;j<=i;++j) map[i][j]=map[j][i]=inf;for (i=1;i<=m;++i) {scanf ("%d%d%d", &u,&v,&w); if (map[u][ v]>w) Map[u][v]=w;} scanf ("%d", &t), for (I=1;i<=t;++i) {scanf ("%d", &temp), map[0][temp]=0;//0 points to the origin to be found}int Ans=dijkstra ();// Million Energy point 0 if (ans==-1) printf (" -1\n"), Else printf ("%d\n", ans);} return 0;}
Spfa
#include <cstdio> #include <cstring> #include <queue> #define MAXN 1100#define MAXM 22000#define INF 0x3f3f3f3fusing namespace Std;int map[maxn][maxn];int vis[maxn];//infers whether to increase the queue int num;int low[maxm];//Save Shortest Path int e;int M, N; void Spfa () {int I, j;queue<int> q;memset (Low, INF, sizeof), memset (Vis, 0, sizeof (VIS)); Vis[0] = 1;low[0] = 0;q . push (0); while (! Q.empty ()) {int u = q.front (); Q.pop (); Vis[u] = 0;//out of the queue. No queue becomes 0 for (i = 1; I <= N; ++i) {if (Low[i] > Low[u] + map[u][i]) {low[i] = Low[u] + map[u][i];if (!vis[i]) {vis[i]=1 ; Q.push (i); }}}}if (low[e] = = INF) printf (" -1\n"), Else printf ("%d\n", Low[e]);} int main () {int u, V, w;while (~scanf ("%d%d%d", &n, &m, &e)) {for (Int. i=0; i<=n;++i) for (int j=0;j<=i;++j) Map[i][j]=map[j][i]=inf;while (m--) {scanf ("%d%d%d", &u, &v, &w); if (map[u][v]>w)//must be sentenced to heavy map[u][v]=w;/ /map[u][v]=w;//map[v][u]=w;} int t,s;scanf ("%d", &t), while (t--) {scanf ("%d", &s), map[0][s]=0;//million Energy point}SPFA ();} return 0;}
Choose the best route hdu Hang Electric 2680 "Dijkstra algorithm | | SPFA "