mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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193 lines
17 KiB
JSON
193 lines
17 KiB
JSON
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"title": "Minimum Time to Complete All Tasks",
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"content": "<p>There is a computer that can run an unlimited number of tasks <strong>at the same time</strong>. You are given a 2D integer array <code>tasks</code> where <code>tasks[i] = [start<sub>i</sub>, end<sub>i</sub>, duration<sub>i</sub>]</code> indicates that the <code>i<sup>th</sup></code> task should run for a total of <code>duration<sub>i</sub></code> seconds (not necessarily continuous) within the <strong>inclusive</strong> time range <code>[start<sub>i</sub>, end<sub>i</sub>]</code>.</p>\n\n<p>You may turn on the computer only when it needs to run a task. You can also turn it off if it is idle.</p>\n\n<p>Return <em>the minimum time during which the computer should be turned on to complete all tasks</em>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> tasks = [[2,3,1],[4,5,1],[1,5,2]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \n- The first task can be run in the inclusive time range [2, 2].\n- The second task can be run in the inclusive time range [5, 5].\n- The third task can be run in the two inclusive time ranges [2, 2] and [5, 5].\nThe computer will be on for a total of 2 seconds.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> tasks = [[1,3,2],[2,5,3],[5,6,2]]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> \n- The first task can be run in the inclusive time range [2, 3].\n- The second task can be run in the inclusive time ranges [2, 3] and [5, 5].\n- The third task can be run in the two inclusive time range [5, 6].\nThe computer will be on for a total of 4 seconds.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= tasks.length <= 2000</code></li>\n\t<li><code>tasks[i].length == 3</code></li>\n\t<li><code>1 <= start<sub>i</sub>, end<sub>i</sub> <= 2000</code></li>\n\t<li><code>1 <= duration<sub>i</sub> <= end<sub>i</sub> - start<sub>i</sub> + 1 </code></li>\n</ul>\n",
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"hints": [
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"Sort the tasks in ascending order of end time",
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"Since there are only up to 2000 time points to consider, you can check them one by one",
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"It is always beneficial to run the task as late as possible so that later tasks can run simultaneously."
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],
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