题目
输出描述:
起点到终点得最小时延,不可达则返回-1
示例1:
输入:
3 3
1 2 11
2 3 13
1 3 50
1 3
输出:
24
思路
Dijkstra 算法,该算法B站视频讲解得较清楚
同leetcode: 743. 网络延迟时间
题解
package hwod;
import java.util.Arrays;
import java.util.Scanner;
public class TheLeastDelayTime {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt(), m = sc.nextInt();
int[][] nums = new int[m][3];
for (int i = 0; i < m; i++) {
for (int j = 0; j < 3; j++) {
nums[i][j] = sc.nextInt();
}
}
int start = sc.nextInt(), end = sc.nextInt();
System.out.println(theLeastDelayTime(nums, n, start, end));
}
private static int theLeastDelayTime(int[][] nums, int n, int start, int end) {
int[][] g = new int[n][n];
final int INF = Integer.MAX_VALUE / 2;//防止越界
for (int i = 0; i < n; i++) {
Arrays.fill(g[i], INF);
}
for (int[] t : nums) {
int x = t[0] - 1, y = t[1] - 1;
g[x][y] = t[2];
}
int[] used = new int[n];
int[] dist = new int[n];
Arrays.fill(dist, INF);
dist[start - 1] = 0;
for (int i = 0; i < n; i++) {
int x = -1;//未标记的距离start最近的节点
//更新未标记的,距离start最近的节点
for (int y = 0; y < n; y++) {
if (used[y] == 0 && (x == -1 || dist[y] < dist[x])) {
x = y;
}
}
used[x] = 1;
for (int y = 0; y < n; y++) {
dist[y] = Math.min(dist[y], dist[x] + g[x][y]);
}
}
return dist[end - 1] == INF ? -1 : dist[end - 1];
}
}
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