力扣labuladong——一刷day84

提示：文章写完后，目录可以自动生成，如何生成可参考右边的帮助文档

---

前言

Dijkstra 算法（一般音译成迪杰斯特拉算法）无非就是一个 BFS 算法的加强版，它们都是从二叉树的层序遍历衍生出来的

---

一、力扣743. 网络延迟时间

class Solution {
    public int networkDelayTime(int[][] times, int n, int k) {
        List<int[]>[] graph = new LinkedList[n+1];
        for(int i = 1; i <= n; i ++){
            graph[i] = new LinkedList<int[]>();
        }
        for(int[] time : times){
            int from = time[0];
            int to = time[1];
            int w = time[2];
            graph[from].add(new int[]{to,w});
        }
        int[] result = dijkstra(k,graph);
        int res = 0;
        for(int i = 1; i < result.length; i ++){
            if(result[i] == Integer.MAX_VALUE){
                return -1;
            }
            res = Math.max(res,result[i]);
        }
        return res;
    }
    class State{
        int id;
        int distFromStart;
        public State(int id, int distFromStart){
            this.id = id;
            this.distFromStart = distFromStart;
        }
    }
    public int[] dijkstra(int start, List<int[]>[] graph){
        int n = graph.length;
        int[] result = new int[n];
        PriorityQueue<State> pq = new PriorityQueue<>(
            (a,b)->{
                return a.distFromStart - b.distFromStart;
            }
        );
        Arrays.fill(result,Integer.MAX_VALUE);
        result[start] = 0;
        pq.offer(new State(start,0));
        while(!pq.isEmpty()){
            State curV = pq.poll();
            int curId = curV.id;
            int curDistFromStart = curV.distFromStart;
            if(curDistFromStart > result[curId]){
                continue;
            }
            for(int[] next : graph[curId]){
                int nextId = next[0];
                int nextDist =  result[curId] + next[1];
                if(result[nextId] > nextDist){
                    result[nextId] = nextDist;
                    pq.offer(new State(nextId, result[nextId]));
                }
            }
        }
        return result;
    }
}