leetcode-problemset/leetcode-cn/originData/allocate-mailboxes.json

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            "questionId": "1571",
            "questionFrontendId": "1478",
            "categoryTitle": "Algorithms",
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            "title": "Allocate Mailboxes",
            "titleSlug": "allocate-mailboxes",
            "content": "<p>Given the array <code>houses</code> where <code>houses[i]</code> is the location of the <code>i<sup>th</sup></code> house along a street and an integer <code>k</code>, allocate <code>k</code> mailboxes in the street.</p>\n\n<p>Return <em>the <strong>minimum</strong> total distance between each house and its nearest mailbox</em>.</p>\n\n<p>The test cases are generated so that the answer fits in a 32-bit integer.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/05/07/sample_11_1816.png\" style=\"width: 454px; height: 154px;\" />\n<pre>\n<strong>Input:</strong> houses = [1,4,8,10,20], k = 3\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> Allocate mailboxes in position 3, 9 and 20.\nMinimum total distance from each houses to nearest mailboxes is |3-1| + |4-3| + |9-8| + |10-9| + |20-20| = 5 \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/05/07/sample_2_1816.png\" style=\"width: 433px; height: 154px;\" />\n<pre>\n<strong>Input:</strong> houses = [2,3,5,12,18], k = 2\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> Allocate mailboxes in position 3 and 14.\nMinimum total distance from each houses to nearest mailboxes is |2-3| + |3-3| + |5-3| + |12-14| + |18-14| = 9.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= houses.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= houses[i] &lt;= 10<sup>4</sup></code></li>\n\t<li>All the integers of <code>houses</code> are <strong>unique</strong>.</li>\n</ul>\n",
            "translatedTitle": "安排邮筒",
            "translatedContent": "<p>给你一个房屋数组<code>houses</code>&nbsp;和一个整数&nbsp;<code>k</code>&nbsp;，其中&nbsp;<code>houses[i]</code>&nbsp;是第 <code>i</code>&nbsp;栋房子在一条街上的位置，现需要在这条街上安排 <code>k</code>&nbsp;个邮筒。</p>\n\n<p>请你返回每栋房子与离它最近的邮筒之间的距离的 <strong>最小 </strong>总和。</p>\n\n<p>答案保证在 32 位有符号整数范围以内。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/06/13/sample_11_1816.png\" style=\"height: 154px; width: 454px;\"></p>\n\n<pre><strong>输入：</strong>houses = [1,4,8,10,20], k = 3\n<strong>输出：</strong>5\n<strong>解释：</strong>将邮筒分别安放在位置 3， 9 和 20 处。\n每个房子到最近邮筒的距离和为 |3-1| + |4-3| + |9-8| + |10-9| + |20-20| = 5 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/06/13/sample_2_1816.png\" style=\"height: 154px; width: 433px;\"></strong></p>\n\n<pre><strong>输入：</strong>houses = [2,3,5,12,18], k = 2\n<strong>输出：</strong>9\n<strong>解释：</strong>将邮筒分别安放在位置 3 和 14 处。\n每个房子到最近邮筒距离和为 |2-3| + |3-3| + |5-3| + |12-14| + |18-14| = 9 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>houses = [7,4,6,1], k = 1\n<strong>输出：</strong>8\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre><strong>输入：</strong>houses = [3,6,14,10], k = 4\n<strong>输出：</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == houses.length</code></li>\n\t<li><code>1 &lt;= n&nbsp;&lt;= 100</code></li>\n\t<li><code>1 &lt;= houses[i] &lt;= 10^4</code></li>\n\t<li><code>1 &lt;= k &lt;= n</code></li>\n\t<li>数组&nbsp;<code>houses</code>&nbsp;中的整数互不相同。</li>\n</ul>\n",
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            "hints": [
                "If k =1, the minimum distance is obtained allocating the mailbox in the median of the array houses.",
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