leetcode-problemset/leetcode-cn/originData/minimum-number-of-moves-to-seat-everyone.json

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        "question": {
            "questionId": "2148",
            "questionFrontendId": "2037",
            "categoryTitle": "Algorithms",
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            "title": "Minimum Number of Moves to Seat Everyone",
            "titleSlug": "minimum-number-of-moves-to-seat-everyone",
            "content": "<p>There are <code>n</code> seats and <code>n</code> students in a room. You are given an array <code>seats</code> of length <code>n</code>, where <code>seats[i]</code> is the position of the <code>i<sup>th</sup></code> seat. You are also given the array <code>students</code> of length <code>n</code>, where <code>students[j]</code> is the position of the <code>j<sup>th</sup></code> student.</p>\n\n<p>You may perform the following move any number of times:</p>\n\n<ul>\n\t<li>Increase or decrease the position of the <code>i<sup>th</sup></code> student by <code>1</code> (i.e., moving the <code>i<sup>th</sup></code> student from position&nbsp;<code>x</code>&nbsp;to <code>x + 1</code> or <code>x - 1</code>)</li>\n</ul>\n\n<p>Return <em>the <strong>minimum number of moves</strong> required to move each student to a seat</em><em> such that no two students are in the same seat.</em></p>\n\n<p>Note that there may be <strong>multiple</strong> seats or students in the <strong>same </strong>position at the beginning.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> seats = [3,1,5], students = [2,7,4]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The students are moved as follows:\n- The first student is moved from from position 2 to position 1 using 1 move.\n- The second student is moved from from position 7 to position 5 using 2 moves.\n- The third student is moved from from position 4 to position 3 using 1 move.\nIn total, 1 + 2 + 1 = 4 moves were used.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> seats = [4,1,5,9], students = [1,3,2,6]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The students are moved as follows:\n- The first student is not moved.\n- The second student is moved from from position 3 to position 4 using 1 move.\n- The third student is moved from from position 2 to position 5 using 3 moves.\n- The fourth student is moved from from position 6 to position 9 using 3 moves.\nIn total, 0 + 1 + 3 + 3 = 7 moves were used.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> seats = [2,2,6,6], students = [1,3,2,6]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> Note that there are two seats at position 2 and two seats at position 6.\nThe students are moved as follows:\n- The first student is moved from from position 1 to position 2 using 1 move.\n- The second student is moved from from position 3 to position 6 using 3 moves.\n- The third student is not moved.\n- The fourth student is not moved.\nIn total, 1 + 3 + 0 + 0 = 4 moves were used.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == seats.length == students.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>1 &lt;= seats[i], students[j] &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "使每位学生都有座位的最少移动次数",
            "translatedContent": "<p>一个房间里有 <code>n</code>&nbsp;个座位和 <code>n</code>&nbsp;名学生，房间用一个数轴表示。给你一个长度为 <code>n</code>&nbsp;的数组&nbsp;<code>seats</code>&nbsp;，其中&nbsp;<code>seats[i]</code> 是第 <code>i</code>&nbsp;个座位的位置。同时给你一个长度为 <code>n</code>&nbsp;的数组&nbsp;<code>students</code>&nbsp;，其中&nbsp;<code>students[j]</code>&nbsp;是第 <code>j</code>&nbsp;位学生的位置。</p>\n\n<p>你可以执行以下操作任意次：</p>\n\n<ul>\n\t<li>增加或者减少第&nbsp;<code>i</code>&nbsp;位学生的位置，每次变化量为 <code>1</code>&nbsp;（也就是将第 <code>i</code>&nbsp;位学生从位置 <code>x</code>&nbsp;移动到 <code>x + 1</code>&nbsp;或者 <code>x - 1</code>）</li>\n</ul>\n\n<p>请你返回使所有学生都有座位坐的 <strong>最少移动次数</strong>&nbsp;，并确保没有两位学生的座位相同。</p>\n\n<p>请注意，初始时有可能有多个座位或者多位学生在 <strong>同一</strong>&nbsp;位置。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>seats = [3,1,5], students = [2,7,4]\n<b>输出：</b>4\n<b>解释：</b>学生移动方式如下：\n- 第一位学生从位置 2 移动到位置 1 ，移动 1 次。\n- 第二位学生从位置 7 移动到位置 5 ，移动 2 次。\n- 第三位学生从位置 4 移动到位置 3 ，移动 1 次。\n总共 1 + 2 + 1 = 4 次移动。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>seats = [4,1,5,9], students = [1,3,2,6]\n<b>输出：</b>7\n<strong>解释：</strong>学生移动方式如下：\n- 第一位学生不移动。\n- 第二位学生从位置 3 移动到位置 4 ，移动 1 次。\n- 第三位学生从位置 2 移动到位置 5 ，移动 3 次。\n- 第四位学生从位置 6 移动到位置 9 ，移动 3 次。\n总共 0 + 1 + 3 + 3 = 7 次移动。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>seats = [2,2,6,6], students = [1,3,2,6]\n<b>输出：</b>4\n<b>解释：</b>学生移动方式如下：\n- 第一位学生从位置 1 移动到位置 2 ，移动 1 次。\n- 第二位学生从位置 3 移动到位置 6 ，移动 3 次。\n- 第三位学生不移动。\n- 第四位学生不移动。\n总共 1 + 3 + 0 + 0 = 4 次移动。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == seats.length == students.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>1 &lt;= seats[i], students[j] &lt;= 100</code></li>\n</ul>\n",
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                "Can we sort the arrays to help solve the problem?",
                "Can we greedily match each student to a seat?",
                "The smallest positioned student will go to the smallest positioned chair, and then the next smallest positioned student will go to the next smallest positioned chair, and so on."
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