787. Cheapest Flights Within K Stops
https://leetcode.com/problems/cheapest-flights-within-k-stops/
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:The cheapest price from city
0to city2with at most 1 stop costs 200, as marked red in the picture.
Example 2: Input: n = 3, edges = [[0,1,100],[1,2,100],[0,2,500]] src = 0, dst = 2, k = 0 Output: 500 Explanation: The graph looks like this:The cheapest price from city
0to city2with at most 0 stop costs 500, as marked blue in the picture.
Note:
- The number of nodes
nwill be in range[1, 100], with nodes labeled from0ton- 1. - The size of
flightswill be in range[0, n * (n - 1) / 2]. - The format of each flight will be
(src,dst, price). - The price of each flight will be in the range
[1, 10000]. kis in the range of[0, n - 1].- There will not be any duplicated flights or self cycles
---
Related problems
---
Intuition
Intuition
Dijkstra
In addition to visited, check for number of steps on (source + 1) <= K before adding it to queue
Initialize steps to -1 .. steps is number of nodes on path
---
In addition to visited, check for number of steps on (source + 1) <= K before adding it to queue
Initialize steps to -1 .. steps is number of nodes on path
---
The cheapest price from city