{ "data": { "question": { "questionId": "3151", "questionFrontendId": "2895", "categoryTitle": "Algorithms", "boundTopicId": 2469656, "title": "Minimum Processing Time", "titleSlug": "minimum-processing-time", "content": "

You have n processors each having 4 cores and n * 4 tasks that need to be executed such that each core should perform only one task.

\n\n

Given a 0-indexed integer array processorTime representing the time at which each processor becomes available for the first time and a 0-indexed integer array tasks representing the time it takes to execute each task, return the minimum time when all of the tasks have been executed by the processors.

\n\n

Note: Each core executes the task independently of the others.

\n\n

 

\n

Example 1:

\n\n
\nInput: processorTime = [8,10], tasks = [2,2,3,1,8,7,4,5]\nOutput: 16\nExplanation: \nIt's optimal to assign the tasks at indexes 4, 5, 6, 7 to the first processor which becomes available at time = 8, and the tasks at indexes 0, 1, 2, 3 to the second processor which becomes available at time = 10. \nTime taken by the first processor to finish execution of all tasks = max(8 + 8, 8 + 7, 8 + 4, 8 + 5) = 16.\nTime taken by the second processor to finish execution of all tasks = max(10 + 2, 10 + 2, 10 + 3, 10 + 1) = 13.\nHence, it can be shown that the minimum time taken to execute all the tasks is 16.
\n\n

Example 2:

\n\n
\nInput: processorTime = [10,20], tasks = [2,3,1,2,5,8,4,3]\nOutput: 23\nExplanation: \nIt's optimal to assign the tasks at indexes 1, 4, 5, 6 to the first processor which becomes available at time = 10, and the tasks at indexes 0, 2, 3, 7 to the second processor which becomes available at time = 20.\nTime taken by the first processor to finish execution of all tasks = max(10 + 3, 10 + 5, 10 + 8, 10 + 4) = 18.\nTime taken by the second processor to finish execution of all tasks = max(20 + 2, 20 + 1, 20 + 2, 20 + 3) = 23.\nHence, it can be shown that the minimum time taken to execute all the tasks is 23.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "最小处理时间", "translatedContent": "

你有 n 颗处理器,每颗处理器都有 4 个核心。现有 n * 4 个待执行任务,每个核心只执行 一个 任务。

\n\n

给你一个下标从 0 开始的整数数组 processorTime ,表示每颗处理器最早空闲时间。另给你一个下标从 0 开始的整数数组 tasks ,表示执行每个任务所需的时间。返回所有任务都执行完毕需要的 最小时间

\n\n

注意:每个核心独立执行任务。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:processorTime = [8,10], tasks = [2,2,3,1,8,7,4,5]\n输出:16\n解释:\n最优的方案是将下标为 4, 5, 6, 7 的任务分配给第一颗处理器(最早空闲时间 time = 8),下标为 0, 1, 2, 3 的任务分配给第二颗处理器(最早空闲时间 time = 10)。 \n第一颗处理器执行完所有任务需要花费的时间 = max(8 + 8, 8 + 7, 8 + 4, 8 + 5) = 16 。\n第二颗处理器执行完所有任务需要花费的时间 = max(10 + 2, 10 + 2, 10 + 3, 10 + 1) = 13 。\n因此,可以证明执行完所有任务需要花费的最小时间是 16 。
\n\n

示例 2:

\n\n
\n输入:processorTime = [10,20], tasks = [2,3,1,2,5,8,4,3]\n输出:23\n解释:\n最优的方案是将下标为 1, 4, 5, 6 的任务分配给第一颗处理器(最早空闲时间 time = 10),下标为 0, 2, 3, 7 的任务分配给第二颗处理器(最早空闲时间 time = 20)。 \n第一颗处理器执行完所有任务需要花费的时间 = max(10 + 3, 10 + 5, 10 + 8, 10 + 4) = 18 。 \n第二颗处理器执行完所有任务需要花费的时间 = max(20 + 2, 20 + 1, 20 + 2, 20 + 3) = 23 。 \n因此,可以证明执行完所有任务需要花费的最小时间是 23 。\n
\n\n

 

\n\n

提示:

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