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leetcode-problemset/leetcode-cn/originData/minimum-difference-between-highest-and-lowest-of-k-scores.json
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"questionId": "2112",
"questionFrontendId": "1984",
"categoryTitle": "Algorithms",
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"title": "Minimum Difference Between Highest and Lowest of K Scores",
"titleSlug": "minimum-difference-between-highest-and-lowest-of-k-scores",
"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>, where <code>nums[i]</code> represents the score of the <code>i<sup>th</sup></code> student. You are also given an integer <code>k</code>.</p>\n\n<p>Pick the scores of any <code>k</code> students from the array so that the <strong>difference</strong> between the <strong>highest</strong> and the <strong>lowest</strong> of the <code>k</code> scores is <strong>minimized</strong>.</p>\n\n<p>Return <em>the <strong>minimum</strong> possible difference</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [90], k = 1\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There is one way to pick score(s) of one student:\n- [<strong><u>90</u></strong>]. The difference between the highest and lowest score is 90 - 90 = 0.\nThe minimum possible difference is 0.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [9,4,1,7], k = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are six ways to pick score(s) of two students:\n- [<strong><u>9</u></strong>,<strong><u>4</u></strong>,1,7]. The difference between the highest and lowest score is 9 - 4 = 5.\n- [<strong><u>9</u></strong>,4,<strong><u>1</u></strong>,7]. The difference between the highest and lowest score is 9 - 1 = 8.\n- [<strong><u>9</u></strong>,4,1,<strong><u>7</u></strong>]. The difference between the highest and lowest score is 9 - 7 = 2.\n- [9,<strong><u>4</u></strong>,<strong><u>1</u></strong>,7]. The difference between the highest and lowest score is 4 - 1 = 3.\n- [9,<strong><u>4</u></strong>,1,<strong><u>7</u></strong>]. The difference between the highest and lowest score is 7 - 4 = 3.\n- [9,4,<strong><u>1</u></strong>,<strong><u>7</u></strong>]. The difference between the highest and lowest score is 7 - 1 = 6.\nThe minimum possible difference is 2.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "学生分数的最小差值",
"translatedContent": "<p>给你一个 <strong>下标从 0 开始</strong> 的整数数组 <code>nums</code> ,其中 <code>nums[i]</code> 表示第 <code>i</code> 名学生的分数。另给你一个整数 <code>k</code> 。</p>\n\n<p>从数组中选出任意 <code>k</code> 名学生的分数,使这 <code>k</code> 个分数间 <strong>最高分</strong> 和 <strong>最低分</strong> 的 <strong>差值</strong> 达到<strong> 最小化</strong> 。</p>\n\n<p>返回可能的 <strong>最小差值</strong> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>nums = [90], k = 1\n<strong>输出:</strong>0\n<strong>解释:</strong>选出 1 名学生的分数,仅有 1 种方法:\n- [<em><strong>90</strong></em>] 最高分和最低分之间的差值是 90 - 90 = 0\n可能的最小差值是 0\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>nums = [9,4,1,7], k = 2\n<strong>输出:</strong>2\n<strong>解释:</strong>选出 2 名学生的分数,有 6 种方法:\n- [<em><strong>9</strong></em>,<em><strong>4</strong></em>,1,7] 最高分和最低分之间的差值是 9 - 4 = 5\n- [<em><strong>9</strong></em>,4,<em><strong>1</strong></em>,7] 最高分和最低分之间的差值是 9 - 1 = 8\n- [<em><strong>9</strong></em>,4,1,<em><strong>7</strong></em>] 最高分和最低分之间的差值是 9 - 7 = 2\n- [9,<em><strong>4</strong></em>,<em><strong>1</strong></em>,7] 最高分和最低分之间的差值是 4 - 1 = 3\n- [9,<em><strong>4</strong></em>,1,<em><strong>7</strong></em>] 最高分和最低分之间的差值是 7 - 4 = 3\n- [9,4,<em><strong>1</strong></em>,<em><strong>7</strong></em>] 最高分和最低分之间的差值是 7 - 1 = 6\n可能的最小差值是 2</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"For the difference between the highest and lowest element to be minimized, the k chosen scores need to be as close to each other as possible.",
"What if the array was sorted?",
"After sorting the scores, any contiguous k scores are as close to each other as possible.",
"Apply a sliding window solution to iterate over each contiguous k scores, and find the minimum of the differences of all windows."
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