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"boundTopicId": null,
"title": "Minimum Time to Repair Cars",
"titleSlug": "minimum-time-to-repair-cars",
"content": "<p>You are given an integer array <code>ranks</code> representing the <strong>ranks</strong> of some mechanics. <font face=\"monospace\">ranks<sub>i</sub></font> is the rank of the <font face=\"monospace\">i<sup>th</sup></font> mechanic<font face=\"monospace\">.</font> A mechanic with a rank <code>r</code> can repair <font face=\"monospace\">n</font> cars in <code>r * n<sup>2</sup></code> minutes.</p>\n\n<p>You are also given an integer <code>cars</code> representing the total number of cars waiting in the garage to be repaired.</p>\n\n<p>Return <em>the <strong>minimum</strong> time taken to repair all the cars.</em></p>\n\n<p><strong>Note:</strong> All the mechanics can repair the cars simultaneously.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> ranks = [4,2,3,1], cars = 10\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> \n- The first mechanic will repair two cars. The time required is 4 * 2 * 2 = 16 minutes.\n- The second mechanic will repair two cars. The time required is 2 * 2 * 2 = 8 minutes.\n- The third mechanic will repair two cars. The time required is 3 * 2 * 2 = 12 minutes.\n- The fourth mechanic will repair four cars. The time required is 1 * 4 * 4 = 16 minutes.\nIt can be proved that the cars cannot be repaired in less than 16 minutes.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> ranks = [5,1,8], cars = 6\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> \n- The first mechanic will repair one car. The time required is 5 * 1 * 1 = 5 minutes.\n- The second mechanic will repair four cars. The time required is 1 * 4 * 4 = 16 minutes.\n- The third mechanic will repair one car. The time required is 8 * 1 * 1 = 8 minutes.\nIt can be proved that the cars cannot be repaired in less than 16 minutes.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= ranks.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= ranks[i] &lt;= 100</code></li>\n\t<li><code>1 &lt;= cars &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"content": "<p>You are given an integer array <code>ranks</code> representing the <strong>ranks</strong> of some mechanics. <font face=\"monospace\">ranks<sub>i</sub></font> is the rank of the <font face=\"monospace\">i<sup>th</sup></font> mechanic<font face=\"monospace\">.</font> A mechanic with a rank <code>r</code> can repair <font face=\"monospace\">n</font> cars in <code>r * n<sup>2</sup></code> minutes.</p>\n\n<p>You are also given an integer <code>cars</code> representing the total number of cars waiting in the garage to be repaired.</p>\n\n<p>Return <em>the <strong>minimum</strong> time taken to repair all the cars.</em></p>\n\n<p><strong>Note:</strong> All the mechanics can repair the cars simultaneously.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> ranks = [4,2,3,1], cars = 10\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> \n- The first mechanic will repair two cars. The time required is 4 * 2 * 2 = 16 minutes.\n- The second mechanic will repair two cars. The time required is 2 * 2 * 2 = 8 minutes.\n- The third mechanic will repair two cars. The time required is 3 * 2 * 2 = 12 minutes.\n- The fourth mechanic will repair four cars. The time required is 1 * 4 * 4 = 16 minutes.\nIt can be proved that the cars cannot be repaired in less than 16 minutes.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> ranks = [5,1,8], cars = 6\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> \n- The first mechanic will repair one car. The time required is 5 * 1 * 1 = 5 minutes.\n- The second mechanic will repair four cars. The time required is 1 * 4 * 4 = 16 minutes.\n- The third mechanic will repair one car. The time required is 8 * 1 * 1 = 8 minutes.\nIt can be proved that the cars cannot be repaired in less than 16 minutes.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= ranks.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= ranks[i] &lt;= 100</code></li>\n\t<li><code>1 &lt;= cars &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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