How to Solve Cheapest Flights Within K Stops Problem
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Cheapest Flights Within K Stops
There are n cities connected by some number of flights. You are given an array flights where flights[i] = [fromi, toi, pricei] indicates that there is a flight from city fromi to city toi with cost pr...
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Understanding the Cheapest Flights Within K Stops Problem
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Problem Statement
There are n cities connected by some number of flights. You are given an array flights where flights[i] = [fromi, toi, pricei] indicates that there is a flight from city fromi to city toi with cost pricei. You are also given three integers src, dst, and k, return the cheapest price from src to dst with at most k stops. If there is no such route, return -1.
Cheapest Flights Within K Stops
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Examples
n = 4, flights = [[0,1,100],[1,2,100],[2,0,100],[1,3,600],[2,3,200]], src = 0, dst = 3, k = 1700The graph is shown above. The optimal path with at most 1 stop from city 0 to 3 is marked in red and has cost 100 + 600 = 700. Note that the path through cities [0,1,2,3] is cheaper but is invalid because it uses 2 stops.
n = 3, flights = [[0,1,100],[1,2,100],[0,2,500]], src = 0, dst = 2, k = 1200The graph is shown above. The optimal path with at most 1 stop from city 0 to 2 is marked in red and has cost 100 + 100 = 200.
n = 3, flights = [[0,1,100],[1,2,100],[0,2,500]], src = 0, dst = 2, k = 0500The graph is shown above. The optimal path with no stops from city 0 to 2 is marked in red and has cost 500.
Constraints
1 <= n <= 1000 <= flights.length <= (n * (n - 1) / 2)flights[i].length == 30 <= fromi, toi < nfromi != toi1 <= pricei <= 104There will not be any multiple flights between two cities.0 <= src, dst, k < nsrc != dstHow Interview Coder Helps with Leetcode Problems
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