{ "data": { "question": { "questionId": "2118", "questionFrontendId": "2008", "categoryTitle": "Algorithms", "boundTopicId": 999956, "title": "Maximum Earnings From Taxi", "titleSlug": "maximum-earnings-from-taxi", "content": "
There are n
points on a road you are driving your taxi on. The n
points on the road are labeled from 1
to n
in the direction you are going, and you want to drive from point 1
to point n
to make money by picking up passengers. You cannot change the direction of the taxi.
The passengers are represented by a 0-indexed 2D integer array rides
, where rides[i] = [starti, endi, tipi]
denotes the ith
passenger requesting a ride from point starti
to point endi
who is willing to give a tipi
dollar tip.
For each passenger i
you pick up, you earn endi - starti + tipi
dollars. You may only drive at most one passenger at a time.
Given n
and rides
, return the maximum number of dollars you can earn by picking up the passengers optimally.
Note: You may drop off a passenger and pick up a different passenger at the same point.
\n\n\n
Example 1:
\n\n\nInput: n = 5, rides = [[2,5,4],[1,5,1]]\nOutput: 7\nExplanation: We can pick up passenger 0 to earn 5 - 2 + 4 = 7 dollars.\n\n\n
Example 2:
\n\n\nInput: n = 20, rides = [[1,6,1],[3,10,2],[10,12,3],[11,12,2],[12,15,2],[13,18,1]]\nOutput: 20\nExplanation: We will pick up the following passengers:\n- Drive passenger 1 from point 3 to point 10 for a profit of 10 - 3 + 2 = 9 dollars.\n- Drive passenger 2 from point 10 to point 12 for a profit of 12 - 10 + 3 = 5 dollars.\n- Drive passenger 5 from point 13 to point 18 for a profit of 18 - 13 + 1 = 6 dollars.\nWe earn 9 + 5 + 6 = 20 dollars in total.\n\n
\n
Constraints:
\n\n1 <= n <= 105
1 <= rides.length <= 3 * 104
rides[i].length == 3
1 <= starti < endi <= n
1 <= tipi <= 105
你驾驶出租车行驶在一条有 n
个地点的路上。这 n
个地点从近到远编号为 1
到 n
,你想要从 1
开到 n
,通过接乘客订单盈利。你只能沿着编号递增的方向前进,不能改变方向。
乘客信息用一个下标从 0 开始的二维数组 rides
表示,其中 rides[i] = [starti, endi, tipi]
表示第 i
位乘客需要从地点 starti
前往 endi
,愿意支付 tipi
元的小费。
每一位 你选择接单的乘客 i
,你可以 盈利 endi - starti + tipi
元。你同时 最多 只能接一个订单。
给你 n
和 rides
,请你返回在最优接单方案下,你能盈利 最多 多少元。
注意:你可以在一个地点放下一位乘客,并在同一个地点接上另一位乘客。
\n\n\n\n
示例 1:
\n\n输入:n = 5, rides = [[2,5,4],[1,5,1]]\n输出:7\n解释:我们可以接乘客 0 的订单,获得 5 - 2 + 4 = 7 元。\n\n\n
示例 2:
\n\n输入:n = 20, rides = [[1,6,1],[3,10,2],[10,12,3],[11,12,2],[12,15,2],[13,18,1]]\n输出:20\n解释:我们可以接以下乘客的订单:\n- 将乘客 1 从地点 3 送往地点 10 ,获得 10 - 3 + 2 = 9 元。\n- 将乘客 2 从地点 10 送往地点 12 ,获得 12 - 10 + 3 = 5 元。\n- 将乘客 5 从地点 13 送往地点 18 ,获得 18 - 13 + 1 = 6 元。\n我们总共获得 9 + 5 + 6 = 20 元。\n\n
\n\n
提示:
\n\n1 <= n <= 105
1 <= rides.length <= 3 * 104
rides[i].length == 3
1 <= starti < endi <= n
1 <= tipi <= 105
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