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2022-05-02 23:44:12 +08:00

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{
"data": {
"question": {
"questionId": "630",
"questionFrontendId": "630",
"categoryTitle": "Algorithms",
"boundTopicId": 1700,
"title": "Course Schedule III",
"titleSlug": "course-schedule-iii",
"content": "<p>There are <code>n</code> different online courses numbered from <code>1</code> to <code>n</code>. You are given an array <code>courses</code> where <code>courses[i] = [duration<sub>i</sub>, lastDay<sub>i</sub>]</code> indicate that the <code>i<sup>th</sup></code> course should be taken <b>continuously</b> for <code>duration<sub>i</sub></code> days and must be finished before or on <code>lastDay<sub>i</sub></code>.</p>\n\n<p>You will start on the <code>1<sup>st</sup></code> day and you cannot take two or more courses simultaneously.</p>\n\n<p>Return <em>the maximum number of courses that you can take</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> courses = [[100,200],[200,1300],[1000,1250],[2000,3200]]\n<strong>Output:</strong> 3\nExplanation: \nThere are totally 4 courses, but you can take 3 courses at most:\nFirst, take the 1<sup>st</sup> course, it costs 100 days so you will finish it on the 100<sup>th</sup> day, and ready to take the next course on the 101<sup>st</sup> day.\nSecond, take the 3<sup>rd</sup> course, it costs 1000 days so you will finish it on the 1100<sup>th</sup> day, and ready to take the next course on the 1101<sup>st</sup> day. \nThird, take the 2<sup>nd</sup> course, it costs 200 days so you will finish it on the 1300<sup>th</sup> day. \nThe 4<sup>th</sup> course cannot be taken now, since you will finish it on the 3300<sup>th</sup> day, which exceeds the closed date.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> courses = [[1,2]]\n<strong>Output:</strong> 1\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> courses = [[3,2],[4,3]]\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= courses.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= duration<sub>i</sub>, lastDay<sub>i</sub> &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
"translatedTitle": "课程表 III",
"translatedContent": "<p>这里有 <code>n</code> 门不同的在线课程,按从 <code>1</code> 到 <code>n</code>&nbsp;编号。给你一个数组 <code>courses</code> ,其中 <code>courses[i] = [duration<sub>i</sub>, lastDay<sub>i</sub>]</code> 表示第 <code>i</code> 门课将会 <strong>持续</strong> 上 <code>duration<sub>i</sub></code> 天课,并且必须在不晚于 <code>lastDay<sub>i</sub></code> 的时候完成。</p>\n\n<p>你的学期从第 <code>1</code> 天开始。且不能同时修读两门及两门以上的课程。</p>\n\n<p>返回你最多可以修读的课程数目。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>courses = [[100, 200], [200, 1300], [1000, 1250], [2000, 3200]]\n<strong>输出:</strong>3\n<strong>解释:</strong>\n这里一共有 4 门课程,但是你最多可以修 3 门:\n首先修第 1 门课,耗费 100 天,在第 100 天完成,在第 101 天开始下门课。\n第二修第 3 门课,耗费 1000 天,在第 1100 天完成,在第 1101 天开始下门课程。\n第三修第 2 门课,耗时 200 天,在第 1300 天完成。\n第 4 门课现在不能修,因为将会在第 3300 天完成它,这已经超出了关闭日期。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>courses = [[1,2]]\n<strong>输出:</strong>1\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>courses = [[3,2],[4,3]]\n<strong>输出:</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= courses.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= duration<sub>i</sub>, lastDay<sub>i</sub> &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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"code": "class Solution {\npublic:\n int scheduleCourse(vector<vector<int>>& courses) {\n\n }\n};",
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"During iteration, say I want to add the current course, currentTotalTime being total time of all courses taken till now, but adding the current course might exceed my deadline or it doesnt.</br></br>\r\n\r\n1. If it doesnt, then I have added one new course. Increment the currentTotalTime with duration of current course.",
"2. If it exceeds deadline, I can swap current course with current courses that has biggest duration.</br>\r\n* No harm done and I might have just reduced the currentTotalTime, right? </br>\r\n* What preprocessing do I need to do on my course processing order so that this swap is always legal?"
],
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