Data Structures & Algorithms

Leetcode 787 Cheapest Flights Within K Stops Java Solution

There are n cities connected by m flights. Each flight starts from city u and arrives at v with a price w.

Now given all the cities and flights, together with starting city src and the destination dst, your task is to find the cheapest price from src to dst with up to k stops. If there is no such route, output -1.

Example 1:
Input: 
n = 3, edges = [[0,1,100],[1,2,100],[0,2,500]]
src = 0, dst = 2, k = 1
Output: 200
Explanation: 
The graph looks like this:
Weighted Directed Graph
The cheapest price from city 0 to city 2 with at most 1 stop costs 200, as marked red in the picture.

Solution:
class Solution {
    public int findCheapestPrice(int n, int[][] flights, int src, int dst, int K) {
        if(flights.length==0) return -1;
        
        HashMap<Integer, List<int []>> graph = new HashMap<>();
        
        for(int[] flight: flights){
            
            if(!graph.containsKey(flight[0])){
                graph.put(flight[0], new ArrayList<int[]>());
            }
            
            graph.get(flight[0]).add(new int[]{flight[1], flight[2]});
        }
        
        
        PriorityQueue<Node> q = new PriorityQueue<Node>((a,b) -> (a.cost - b.cost));
        
        q.add(new Node(src, 0, -1));
        
        while(!q.isEmpty()){
            
            Node curr = q.poll();
            
            if(curr.city == dst){
                return curr.cost;
            }
            
            if(curr.stop<K){
                List<int []> nexts = graph.getOrDefault(curr.city, new ArrayList<int[]>());
                
                for(int[] next: nexts){
                    q.add(new Node(next[0], curr.cost+next[1], curr.stop+1));
                }
            }
        }     
        return -1;
    }
}
class Node {
    int city;
    int cost;
    int stop;   
    public Node(int city, int cost, int stop){
        this.city = city;
        this.cost = cost;
        this.stop = stop;
    }
}

Here is the video explanation:

rajendra

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