leetcode-problemset/leetcode-cn/originData/minimum-number-of-seconds-to-make-mountain-height-zero.json

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        "question": {
            "questionId": "3496",
            "questionFrontendId": "3296",
            "categoryTitle": "Algorithms",
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            "title": "Minimum Number of Seconds to Make Mountain Height Zero",
            "titleSlug": "minimum-number-of-seconds-to-make-mountain-height-zero",
            "content": "<p>You are given an integer <code>mountainHeight</code> denoting the height of a mountain.</p>\n\n<p>You are also given an integer array <code>workerTimes</code> representing the work time of workers in <strong>seconds</strong>.</p>\n\n<p>The workers work <strong>simultaneously</strong> to <strong>reduce</strong> the height of the mountain. For worker <code>i</code>:</p>\n\n<ul>\n\t<li>To decrease the mountain&#39;s height by <code>x</code>, it takes <code>workerTimes[i] + workerTimes[i] * 2 + ... + workerTimes[i] * x</code> seconds. For example:\n\n\t<ul>\n\t\t<li>To reduce the height of the mountain by 1, it takes <code>workerTimes[i]</code> seconds.</li>\n\t\t<li>To reduce the height of the mountain by 2, it takes <code>workerTimes[i] + workerTimes[i] * 2</code> seconds, and so on.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>Return an integer representing the <strong>minimum</strong> number of seconds required for the workers to make the height of the mountain 0.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">mountainHeight = 4, workerTimes = [2,1,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>One way the height of the mountain can be reduced to 0 is:</p>\n\n<ul>\n\t<li>Worker 0 reduces the height by 1, taking <code>workerTimes[0] = 2</code> seconds.</li>\n\t<li>Worker 1 reduces the height by 2, taking <code>workerTimes[1] + workerTimes[1] * 2 = 3</code> seconds.</li>\n\t<li>Worker 2 reduces the height by 1, taking <code>workerTimes[2] = 1</code> second.</li>\n</ul>\n\n<p>Since they work simultaneously, the minimum time needed is <code>max(2, 3, 1) = 3</code> seconds.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">mountainHeight = 10, workerTimes = [3,2,2,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Worker 0 reduces the height by 2, taking <code>workerTimes[0] + workerTimes[0] * 2 = 9</code> seconds.</li>\n\t<li>Worker 1 reduces the height by 3, taking <code>workerTimes[1] + workerTimes[1] * 2 + workerTimes[1] * 3 = 12</code> seconds.</li>\n\t<li>Worker 2 reduces the height by 3, taking <code>workerTimes[2] + workerTimes[2] * 2 + workerTimes[2] * 3 = 12</code> seconds.</li>\n\t<li>Worker 3 reduces the height by 2, taking <code>workerTimes[3] + workerTimes[3] * 2 = 12</code> seconds.</li>\n</ul>\n\n<p>The number of seconds needed is <code>max(9, 12, 12, 12) = 12</code> seconds.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">mountainHeight = 5, workerTimes = [1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">15</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>There is only one worker in this example, so the answer is <code>workerTimes[0] + workerTimes[0] * 2 + workerTimes[0] * 3 + workerTimes[0] * 4 + workerTimes[0] * 5 = 15</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= mountainHeight &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= workerTimes.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= workerTimes[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
            "translatedTitle": "移山所需的最少秒数",
            "translatedContent": "<p>给你一个整数 <code>mountainHeight</code> 表示山的高度。</p>\n\n<p>同时给你一个整数数组 <code>workerTimes</code>，表示工人们的工作时间（单位：<strong>秒</strong>）。</p>\n\n<p>工人们需要 <strong>同时 </strong>进行工作以 <strong>降低 </strong>山的高度。对于工人 <code>i</code> :</p>\n\n<ul>\n\t<li>山的高度降低 <code>x</code>，需要花费 <code>workerTimes[i] + workerTimes[i] * 2 + ... + workerTimes[i] * x</code> 秒。例如：\n\n\t<ul>\n\t\t<li>山的高度降低 1，需要 <code>workerTimes[i]</code> 秒。</li>\n\t\t<li>山的高度降低 2，需要 <code>workerTimes[i] + workerTimes[i] * 2</code> 秒，依此类推。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>返回一个整数，表示工人们使山的高度降低到 0 所需的 <strong>最少</strong> 秒数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">mountainHeight = 4, workerTimes = [2,1,1]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>将山的高度降低到 0 的一种方式是：</p>\n\n<ul>\n\t<li>工人 0 将高度降低 1，花费 <code>workerTimes[0] = 2</code> 秒。</li>\n\t<li>工人 1 将高度降低 2，花费 <code>workerTimes[1] + workerTimes[1] * 2 = 3</code> 秒。</li>\n\t<li>工人 2 将高度降低 1，花费 <code>workerTimes[2] = 1</code> 秒。</li>\n</ul>\n\n<p>因为工人同时工作，所需的最少时间为 <code>max(2, 3, 1) = 3</code> 秒。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">mountainHeight = 10, workerTimes = [3,2,2,4]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li>工人 0 将高度降低 2，花费 <code>workerTimes[0] + workerTimes[0] * 2 = 9</code> 秒。</li>\n\t<li>工人 1 将高度降低 3，花费 <code>workerTimes[1] + workerTimes[1] * 2 + workerTimes[1] * 3 = 12</code> 秒。</li>\n\t<li>工人 2 将高度降低 3，花费 <code>workerTimes[2] + workerTimes[2] * 2 + workerTimes[2] * 3 = 12</code> 秒。</li>\n\t<li>工人 3 将高度降低 2，花费 <code>workerTimes[3] + workerTimes[3] * 2 = 12</code> 秒。</li>\n</ul>\n\n<p>所需的最少时间为 <code>max(9, 12, 12, 12) = 12</code> 秒。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">mountainHeight = 5, workerTimes = [1]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">15</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>这个示例中只有一个工人，所以答案是 <code>workerTimes[0] + workerTimes[0] * 2 + workerTimes[0] * 3 + workerTimes[0] * 4 + workerTimes[0] * 5 = 15</code> 秒。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= mountainHeight &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= workerTimes.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= workerTimes[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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