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"categoryTitle": "Algorithms",
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"title": "Minimum Processing Time",
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"content": "<p>You have <code>n</code> processors each having <code>4</code> cores and <code>n * 4</code> tasks that need to be executed such that each core should perform only <strong>one</strong> task.</p>\n\n<p>Given a <strong>0-indexed</strong> integer array <code>processorTime</code> representing the time at which each processor becomes available for the first time and a <strong>0-indexed </strong>integer array <code>tasks</code> representing the time it takes to execute each task, return <em>the <strong>minimum</strong> time when all of the tasks have been executed by the processors.</em></p>\n\n<p><strong>Note: </strong>Each core executes the task independently of the others.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> processorTime = [8,10], tasks = [2,2,3,1,8,7,4,5]\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> \nIt&#39;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.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> processorTime = [10,20], tasks = [2,3,1,2,5,8,4,3]\n<strong>Output:</strong> 23\n<strong>Explanation:</strong> \nIt&#39;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</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == processorTime.length &lt;= 25000</code></li>\n\t<li><code>1 &lt;= tasks.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= processorTime[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= tasks[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>tasks.length == 4 * n</code></li>\n</ul>\n",
"translatedTitle": "最小处理时间",
"translatedContent": "<p>你有 <code>n</code> 颗处理器,每颗处理器都有 <code>4</code> 个核心。现有 <code>n * 4</code> 个待执行任务,每个核心只执行 <strong>一个</strong> 任务。</p>\n\n<p>给你一个下标从 <strong>0</strong> 开始的整数数组 <code>processorTime</code> ,表示每颗处理器最早空闲时间。另给你一个下标从 <strong>0</strong> 开始的整数数组 <code>tasks</code> ,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 <strong>最小时间</strong> 。</p>\n\n<p>注意:每个核心独立执行任务。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>processorTime = [8,10], tasks = [2,2,3,1,8,7,4,5]\n<strong>输出:</strong>16\n<strong>解释:</strong>\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 。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>processorTime = [10,20], tasks = [2,3,1,2,5,8,4,3]\n<strong>输出:</strong>23\n<strong>解释:</strong>\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</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == processorTime.length &lt;= 25000</code></li>\n\t<li><code>1 &lt;= tasks.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= processorTime[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= tasks[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>tasks.length == 4 * n</code></li>\n</ul>\n",
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