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HDU - 2680 - Choose the best route （经典最短路问题dijkstra算法！！）

2024-10-21 03:42:39   211人阅读

Choose the best route

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 7671    Accepted Submission(s): 2524


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
 

Author
dandelion
 

Source
2009浙江大学计算机研考复试（机试部分）——全真模拟




AC代码：

#include <cstdio>
#include <cstring>
#include <algorithm>
#define INF 0x7f7f7f7f
using namespace std;

const int MAX = 1005;
int n, m, s;
int map[MAX][MAX], dis[MAX], vis[MAX];

void dijk(int s)
{
	for(int i=1; i<=n; i++) dis[i] = map[s][i];
	vis[s] = 1; dis[s] = 0;
	for(int i=1; i<n; i++)
	{
		int min = INF, pos;
		for(int j = 1; j <= n; j++)
			if(!vis[j] && dis[j] < min)
				min = dis[pos = j];
		if(min == INF)  break;
		vis[pos] = 1;
		for(int j=1; j<=n; j++)
			if(!vis[j] && dis[pos] + map[pos][j] < dis[j])
				dis[j] = dis[pos] + map[pos][j];
	}
}

int main()
{
	while(scanf("%d %d %d", &n, &m, &s) != EOF)
	{
		memset(vis, 0, sizeof(vis));
		memset(map, 0x7f, sizeof(map));
		while(m--)
		{
			int x, y, w;
			scanf("%d %d %d", &x, &y, &w);
			if(w < map[y][x]) map[y][x] = w;		//注意是有向的，反方向 
		}
		dijk(s);
		int a, b, ans = INF;
		scanf("%d", &b);
		for(int i=1; i<=b; i++)
		{
			scanf("%d", &a);
			ans = min(ans, dis[a]);
		}
		if(ans != INF)printf("%d\n", ans);
		else printf("-1\n");
	}
	return 0;
}




HDU - 2680 - Choose the best route （经典最短路问题dijkstra算法！！）


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