{ "data": { "question": { "questionId": "2294", "questionFrontendId": "2187", "categoryTitle": "Algorithms", "boundTopicId": 1290374, "title": "Minimum Time to Complete Trips", "titleSlug": "minimum-time-to-complete-trips", "content": "
You are given an array time
where time[i]
denotes the time taken by the ith
bus to complete one trip.
Each bus can make multiple trips successively; that is, the next trip can start immediately after completing the current trip. Also, each bus operates independently; that is, the trips of one bus do not influence the trips of any other bus.
\n\nYou are also given an integer totalTrips
, which denotes the number of trips all buses should make in total. Return the minimum time required for all buses to complete at least totalTrips
trips.
\n
Example 1:
\n\n\nInput: time = [1,2,3], totalTrips = 5\nOutput: 3\nExplanation:\n- At time t = 1, the number of trips completed by each bus are [1,0,0]. \n The total number of trips completed is 1 + 0 + 0 = 1.\n- At time t = 2, the number of trips completed by each bus are [2,1,0]. \n The total number of trips completed is 2 + 1 + 0 = 3.\n- At time t = 3, the number of trips completed by each bus are [3,1,1]. \n The total number of trips completed is 3 + 1 + 1 = 5.\nSo the minimum time needed for all buses to complete at least 5 trips is 3.\n\n\n
Example 2:
\n\n\nInput: time = [2], totalTrips = 1\nOutput: 2\nExplanation:\nThere is only one bus, and it will complete its first trip at t = 2.\nSo the minimum time needed to complete 1 trip is 2.\n\n\n
\n
Constraints:
\n\n1 <= time.length <= 105
1 <= time[i], totalTrips <= 107
给你一个数组 time
,其中 time[i]
表示第 i
辆公交车完成 一趟旅途 所需要花费的时间。
每辆公交车可以 连续 完成多趟旅途,也就是说,一辆公交车当前旅途完成后,可以 立马开始 下一趟旅途。每辆公交车 独立 运行,也就是说可以同时有多辆公交车在运行且互不影响。
\n\n给你一个整数 totalTrips
,表示所有公交车 总共 需要完成的旅途数目。请你返回完成 至少 totalTrips
趟旅途需要花费的 最少 时间。
\n\n
示例 1:
\n\n输入:time = [1,2,3], totalTrips = 5\n输出:3\n解释:\n- 时刻 t = 1 ,每辆公交车完成的旅途数分别为 [1,0,0] 。\n 已完成的总旅途数为 1 + 0 + 0 = 1 。\n- 时刻 t = 2 ,每辆公交车完成的旅途数分别为 [2,1,0] 。\n 已完成的总旅途数为 2 + 1 + 0 = 3 。\n- 时刻 t = 3 ,每辆公交车完成的旅途数分别为 [3,1,1] 。\n 已完成的总旅途数为 3 + 1 + 1 = 5 。\n所以总共完成至少 5 趟旅途的最少时间为 3 。\n\n\n
示例 2:
\n\n输入:time = [2], totalTrips = 1\n输出:2\n解释:\n只有一辆公交车,它将在时刻 t = 2 完成第一趟旅途。\n所以完成 1 趟旅途的最少时间为 2 。\n\n\n
\n\n
提示:
\n\n1 <= time.length <= 105
1 <= time[i], totalTrips <= 107
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