{ "data": { "question": { "questionId": "803", "questionFrontendId": "787", "categoryTitle": "Algorithms", "boundTopicId": 1893, "title": "Cheapest Flights Within K Stops", "titleSlug": "cheapest-flights-within-k-stops", "content": "
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
.
\n
Example 1:
\n\n\nInput: n = 4, flights = [[0,1,100],[1,2,100],[2,0,100],[1,3,600],[2,3,200]], src = 0, dst = 3, k = 1\nOutput: 700\nExplanation:\nThe graph is shown above.\nThe optimal path with at most 1 stop from city 0 to 3 is marked in red and has cost 100 + 600 = 700.\nNote that the path through cities [0,1,2,3] is cheaper but is invalid because it uses 2 stops.\n\n\n
Example 2:
\n\n\nInput: n = 3, flights = [[0,1,100],[1,2,100],[0,2,500]], src = 0, dst = 2, k = 1\nOutput: 200\nExplanation:\nThe graph is shown above.\nThe optimal path with at most 1 stop from city 0 to 2 is marked in red and has cost 100 + 100 = 200.\n\n\n
Example 3:
\n\n\nInput: n = 3, flights = [[0,1,100],[1,2,100],[0,2,500]], src = 0, dst = 2, k = 0\nOutput: 500\nExplanation:\nThe graph is shown above.\nThe optimal path with no stops from city 0 to 2 is marked in red and has cost 500.\n\n\n
\n
Constraints:
\n\n1 <= n <= 100
0 <= flights.length <= (n * (n - 1) / 2)
flights[i].length == 3
0 <= fromi, toi < n
fromi != toi
1 <= pricei <= 104
0 <= src, dst, k < n
src != dst
有 n
个城市通过一些航班连接。给你一个数组 flights
,其中 flights[i] = [fromi, toi, pricei]
,表示该航班都从城市 fromi
开始,以价格 pricei
抵达 toi
。
现在给定所有的城市和航班,以及出发城市 src
和目的地 dst
,你的任务是找到出一条最多经过 k
站中转的路线,使得从 src
到 dst
的 价格最便宜 ,并返回该价格。 如果不存在这样的路线,则输出 -1
。
\n\n
示例 1:
\n\n\n输入: \nn = 3, edges = [[0,1,100],[1,2,100],[0,2,500]]\nsrc = 0, dst = 2, k = 1\n输出: 200\n解释: \n城市航班图如下\n\n\n从城市 0 到城市 2 在 1 站中转以内的最便宜价格是 200,如图中红色所示。\n\n
示例 2:
\n\n\n输入: \nn = 3, edges = [[0,1,100],[1,2,100],[0,2,500]]\nsrc = 0, dst = 2, k = 0\n输出: 500\n解释: \n城市航班图如下\n\n\n从城市 0 到城市 2 在 0 站中转以内的最便宜价格是 500,如图中蓝色所示。\n\n
\n\n
提示:
\n\n1 <= n <= 100
0 <= flights.length <= (n * (n - 1) / 2)
flights[i].length == 3
0 <= fromi, toi < n
fromi != toi
1 <= pricei <= 104
0 <= src, dst, k < n
src != dst
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