{ "data": { "question": { "questionId": "1825", "questionFrontendId": "1723", "categoryTitle": "Algorithms", "boundTopicId": 551155, "title": "Find Minimum Time to Finish All Jobs", "titleSlug": "find-minimum-time-to-finish-all-jobs", "content": "
You are given an integer array jobs
, where jobs[i]
is the amount of time it takes to complete the ith
job.
There are k
workers that you can assign jobs to. Each job should be assigned to exactly one worker. The working time of a worker is the sum of the time it takes to complete all jobs assigned to them. Your goal is to devise an optimal assignment such that the maximum working time of any worker is minimized.
Return the minimum possible maximum working time of any assignment.
\n\n\n
Example 1:
\n\n\nInput: jobs = [3,2,3], k = 3\nOutput: 3\nExplanation: By assigning each person one job, the maximum time is 3.\n\n\n
Example 2:
\n\n\nInput: jobs = [1,2,4,7,8], k = 2\nOutput: 11\nExplanation: Assign the jobs the following way:\nWorker 1: 1, 2, 8 (working time = 1 + 2 + 8 = 11)\nWorker 2: 4, 7 (working time = 4 + 7 = 11)\nThe maximum working time is 11.\n\n
\n
Constraints:
\n\n1 <= k <= jobs.length <= 12
1 <= jobs[i] <= 107
给你一个整数数组 jobs
,其中 jobs[i]
是完成第 i
项工作要花费的时间。
请你将这些工作分配给 k
位工人。所有工作都应该分配给工人,且每项工作只能分配给一位工人。工人的 工作时间 是完成分配给他们的所有工作花费时间的总和。请你设计一套最佳的工作分配方案,使工人的 最大工作时间 得以 最小化 。
返回分配方案中尽可能 最小 的 最大工作时间 。
\n\n\n\n
示例 1:
\n\n\n输入:jobs = [3,2,3], k = 3\n输出:3\n解释:给每位工人分配一项工作,最大工作时间是 3 。\n\n\n
示例 2:
\n\n\n输入:jobs = [1,2,4,7,8], k = 2\n输出:11\n解释:按下述方式分配工作:\n1 号工人:1、2、8(工作时间 = 1 + 2 + 8 = 11)\n2 号工人:4、7(工作时间 = 4 + 7 = 11)\n最大工作时间是 11 。\n\n
\n\n
提示:
\n\n1 <= k <= jobs.length <= 12
1 <= jobs[i] <= 107
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