{ "data": { "question": { "questionId": "2000", "questionFrontendId": "1870", "categoryTitle": "Algorithms", "boundTopicId": 785030, "title": "Minimum Speed to Arrive on Time", "titleSlug": "minimum-speed-to-arrive-on-time", "content": "

You are given a floating-point number hour, representing the amount of time you have to reach the office. To commute to the office, you must take n trains in sequential order. You are also given an integer array dist of length n, where dist[i] describes the distance (in kilometers) of the ith train ride.

\n\n

Each train can only depart at an integer hour, so you may need to wait in between each train ride.

\n\n\n\n

Return the minimum positive integer speed (in kilometers per hour) that all the trains must travel at for you to reach the office on time, or -1 if it is impossible to be on time.

\n\n

Tests are generated such that the answer will not exceed 107 and hour will have at most two digits after the decimal point.

\n\n

 

\n

Example 1:

\n\n
\nInput: dist = [1,3,2], hour = 6\nOutput: 1\nExplanation: 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
\n\n

Example 2:

\n\n
\nInput: dist = [1,3,2], hour = 2.7\nOutput: 3\nExplanation: 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
\n\n

Example 3:

\n\n
\nInput: dist = [1,3,2], hour = 1.9\nOutput: -1\nExplanation: It is impossible because the earliest the third train can depart is at the 2 hour mark.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "准时到达的列车最小时速", "translatedContent": "

给你一个浮点数 hour ，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 n 趟列车。另给你一个长度为 n 的整数数组 dist ，其中 dist[i] 表示第 i 趟列车的行驶距离（单位是千米）。

\n\n

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。

\n\n\n\n

返回能满足你准时到达办公室所要求全部列车的 最小正整数 时速（单位：千米每小时），如果无法准时到达，则返回 -1 。

\n\n

生成的测试用例保证答案不超过 107 ，且 hour 的 小数点后最多存在两位数字 。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：dist = [1,3,2], hour = 6\n输出：1\n解释：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
\n\n

示例 2：

\n\n
\n输入：dist = [1,3,2], hour = 2.7\n输出：3\n解释：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。
\n\n

示例 3：

\n\n
\n输入：dist = [1,3,2], hour = 1.9\n输出：-1\n解释：不可能准时到达，因为第 3 趟列车最早是在第 2 小时发车。
\n\n

 

\n\n

提示：

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