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"question": {
"questionId": "2294",
"questionFrontendId": "2187",
"categoryTitle": "Algorithms",
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"title": "Minimum Time to Complete Trips",
"titleSlug": "minimum-time-to-complete-trips",
"content": "<p>You are given an array <code>time</code> where <code>time[i]</code> denotes the time taken by the <code>i<sup>th</sup></code> bus to complete <strong>one trip</strong>.</p>\n\n<p>Each bus can make multiple trips <strong>successively</strong>; that is, the next trip can start <strong>immediately after</strong> completing the current trip. Also, each bus operates <strong>independently</strong>; that is, the trips of one bus do not influence the trips of any other bus.</p>\n\n<p>You are also given an integer <code>totalTrips</code>, which denotes the number of trips all buses should make <strong>in total</strong>. Return <em>the <strong>minimum time</strong> required for all buses to complete <strong>at least</strong> </em><code>totalTrips</code><em> trips</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> time = [1,2,3], totalTrips = 5\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\n- At time t = 1, the number of trips completed by each bus are [1,0,0]. \n The total number of trips completed is 1 + 0 + 0 = 1.\n- At time t = 2, the number of trips completed by each bus are [2,1,0]. \n The total number of trips completed is 2 + 1 + 0 = 3.\n- At time t = 3, the number of trips completed by each bus are [3,1,1]. \n The total number of trips completed is 3 + 1 + 1 = 5.\nSo the minimum time needed for all buses to complete at least 5 trips is 3.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> time = [2], totalTrips = 1\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nThere is only one bus, and it will complete its first trip at t = 2.\nSo the minimum time needed to complete 1 trip is 2.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= time.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= time[i], totalTrips &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
"translatedTitle": "完成旅途的最少时间",
"translatedContent": "<p>给你一个数组&nbsp;<code>time</code>&nbsp;,其中&nbsp;<code>time[i]</code>&nbsp;表示第 <code>i</code>&nbsp;辆公交车完成 <strong>一趟</strong><strong>旅途</strong>&nbsp;所需要花费的时间。</p>\n\n<p>每辆公交车可以 <strong>连续</strong> 完成多趟旅途,也就是说,一辆公交车当前旅途完成后,可以 <strong>立马开始</strong>&nbsp;下一趟旅途。每辆公交车 <strong>独立</strong>&nbsp;运行,也就是说可以同时有多辆公交车在运行且互不影响。</p>\n\n<p>给你一个整数&nbsp;<code>totalTrips</code>&nbsp;,表示所有公交车&nbsp;<strong>总共</strong>&nbsp;需要完成的旅途数目。请你返回完成 <strong>至少</strong>&nbsp;<code>totalTrips</code>&nbsp;趟旅途需要花费的 <strong>最少</strong>&nbsp;时间。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>time = [1,2,3], totalTrips = 5\n<b>输出:</b>3\n<strong>解释:</strong>\n- 时刻 t = 1 ,每辆公交车完成的旅途数分别为 [1,0,0] 。\n 已完成的总旅途数为 1 + 0 + 0 = 1 。\n- 时刻 t = 2 ,每辆公交车完成的旅途数分别为 [2,1,0] 。\n 已完成的总旅途数为 2 + 1 + 0 = 3 。\n- 时刻 t = 3 ,每辆公交车完成的旅途数分别为 [3,1,1] 。\n 已完成的总旅途数为 3 + 1 + 1 = 5 。\n所以总共完成至少 5 趟旅途的最少时间为 3 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>time = [2], totalTrips = 1\n<b>输出:</b>2\n<strong>解释:</strong>\n只有一辆公交车它将在时刻 t = 2 完成第一趟旅途。\n所以完成 1 趟旅途的最少时间为 2 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= time.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= time[i], totalTrips &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
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"For a given amount of time, how can we count the total number of trips completed by all buses within that time?",
"Consider using binary search."
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