leetcode-problemset/leetcode-cn/originData/minimum-speed-to-arrive-on-time.json

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            "title": "Minimum Speed to Arrive on Time",
            "titleSlug": "minimum-speed-to-arrive-on-time",
            "content": "<p>You are given a floating-point number <code>hour</code>, representing the amount of time you have to reach the office. To commute to the office, you must take <code>n</code> trains in sequential order. You are also given an integer array <code>dist</code> of length <code>n</code>, where <code>dist[i]</code> describes the distance (in kilometers) of the <code>i<sup>th</sup></code> train ride.</p>\n\n<p>Each train can only depart at an integer hour, so you may need to wait in between each train ride.</p>\n\n<ul>\n\t<li>For example, if the <code>1<sup>st</sup></code> train ride takes <code>1.5</code> hours, you must wait for an additional <code>0.5</code> hours before you can depart on the <code>2<sup>nd</sup></code> train ride at the 2 hour mark.</li>\n</ul>\n\n<p>Return <em>the <strong>minimum positive integer</strong> speed <strong>(in kilometers per hour)</strong> that all the trains must travel at for you to reach the office on time, or </em><code>-1</code><em> if it is impossible to be on time</em>.</p>\n\n<p>Tests are generated such that the answer will not exceed <code>10<sup>7</sup></code> and <code>hour</code> will have <strong>at most two digits after the decimal point</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> dist = [1,3,2], hour = 6\n<strong>Output:</strong> 1\n<strong>Explanation: </strong>At speed 1:\n- The first train ride takes 1/1 = 1 hour.\n- Since we are already at an integer hour, we depart immediately at the 1 hour mark. The second train takes 3/1 = 3 hours.\n- Since we are already at an integer hour, we depart immediately at the 4 hour mark. The third train takes 2/1 = 2 hours.\n- You will arrive at exactly the 6 hour mark.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> dist = [1,3,2], hour = 2.7\n<strong>Output:</strong> 3\n<strong>Explanation: </strong>At speed 3:\n- The first train ride takes 1/3 = 0.33333 hours.\n- Since we are not at an integer hour, we wait until the 1 hour mark to depart. The second train ride takes 3/3 = 1 hour.\n- Since we are already at an integer hour, we depart immediately at the 2 hour mark. The third train takes 2/3 = 0.66667 hours.\n- You will arrive at the 2.66667 hour mark.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> dist = [1,3,2], hour = 1.9\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It is impossible because the earliest the third train can depart is at the 2 hour mark.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == dist.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= dist[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= hour &lt;= 10<sup>9</sup></code></li>\n\t<li>There will be at most two digits after the decimal point in <code>hour</code>.</li>\n</ul>\n",
            "translatedTitle": "准时到达的列车最小时速",
            "translatedContent": "<p>给你一个浮点数 <code>hour</code> ，表示你到达办公室可用的总通勤时间。要到达办公室，你必须按给定次序乘坐 <code>n</code> 趟列车。另给你一个长度为 <code>n</code> 的整数数组 <code>dist</code> ，其中 <code>dist[i]</code> 表示第 <code>i</code> 趟列车的行驶距离（单位是千米）。</p>\n\n<p>每趟列车均只能在整点发车，所以你可能需要在两趟列车之间等待一段时间。</p>\n\n<ul>\n\t<li>例如，第 <code>1</code> 趟列车需要 <code>1.5</code> 小时，那你必须再等待 <code>0.5</code> 小时，搭乘在第 2 小时发车的第 <code>2</code> 趟列车。</li>\n</ul>\n\n<p>返回能满足你准时到达办公室所要求全部列车的<strong> 最小正整数 </strong>时速（单位：千米每小时），如果无法准时到达，则返回 <code>-1</code> 。</p>\n\n<p>生成的测试用例保证答案不超过 <code>10<sup>7</sup></code> ，且 <code>hour</code> 的 <strong>小数点后最多存在两位数字</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>dist = [1,3,2], hour = 6\n<strong>输出：</strong>1\n<strong>解释：</strong>速度为 1 时：\n- 第 1 趟列车运行需要 1/1 = 1 小时。\n- 由于是在整数时间到达，可以立即换乘在第 1 小时发车的列车。第 2 趟列车运行需要 3/1 = 3 小时。\n- 由于是在整数时间到达，可以立即换乘在第 4 小时发车的列车。第 3 趟列车运行需要 2/1 = 2 小时。\n- 你将会恰好在第 6 小时到达。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>dist = [1,3,2], hour = 2.7\n<strong>输出：</strong>3\n<strong>解释：</strong>速度为 3 时：\n- 第 1 趟列车运行需要 1/3 = 0.33333 小时。\n- 由于不是在整数时间到达，故需要等待至第 1 小时才能搭乘列车。第 2 趟列车运行需要 3/3 = 1 小时。\n- 由于是在整数时间到达，可以立即换乘在第 2 小时发车的列车。第 3 趟列车运行需要 2/3 = 0.66667 小时。\n- 你将会在第 2.66667 小时到达。</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>dist = [1,3,2], hour = 1.9\n<strong>输出：</strong>-1\n<strong>解释：</strong>不可能准时到达，因为第 3 趟列车最早是在第 2 小时发车。</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == dist.length</code></li>\n\t<li><code>1 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= dist[i] <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= hour <= 10<sup>9</sup></code></li>\n\t<li><code>hours</code> 中，小数点后最多存在两位数字</li>\n</ul>\n",
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