leetcode-problemset/leetcode-cn/originData/maximum-subsequence-score.json

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        "question": {
            "questionId": "2636",
            "questionFrontendId": "2542",
            "categoryTitle": "Algorithms",
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            "title": "Maximum Subsequence Score",
            "titleSlug": "maximum-subsequence-score",
            "content": "<p>You are given two <strong>0-indexed</strong> integer arrays <code>nums1</code> and <code>nums2</code> of equal length <code>n</code> and a positive integer <code>k</code>. You must choose a <strong>subsequence</strong> of indices from <code>nums1</code> of length <code>k</code>.</p>\n\n<p>For chosen indices <code>i<sub>0</sub></code>, <code>i<sub>1</sub></code>, ..., <code>i<sub>k - 1</sub></code>, your <strong>score</strong> is defined as:</p>\n\n<ul>\n\t<li>The sum of the selected elements from <code>nums1</code> multiplied with the <strong>minimum</strong> of the selected elements from <code>nums2</code>.</li>\n\t<li>It can defined simply as: <code>(nums1[i<sub>0</sub>] + nums1[i<sub>1</sub>] +...+ nums1[i<sub>k - 1</sub>]) * min(nums2[i<sub>0</sub>] , nums2[i<sub>1</sub>], ... ,nums2[i<sub>k - 1</sub>])</code>.</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> possible score.</em></p>\n\n<p>A <strong>subsequence</strong> of indices of an array is a set that can be derived from the set <code>{0, 1, ..., n-1}</code> by deleting some or no elements.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,3,3,2], nums2 = [2,1,3,4], k = 3\n<strong>Output:</strong> 12\n<strong>Explanation:</strong> \nThe four possible subsequence scores are:\n- We choose the indices 0, 1, and 2 with score = (1+3+3) * min(2,1,3) = 7.\n- We choose the indices 0, 1, and 3 with score = (1+3+2) * min(2,1,4) = 6. \n- We choose the indices 0, 2, and 3 with score = (1+3+2) * min(2,3,4) = 12. \n- We choose the indices 1, 2, and 3 with score = (3+3+2) * min(1,3,4) = 8.\nTherefore, we return the max score, which is 12.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [4,2,3,1,1], nums2 = [7,5,10,9,6], k = 1\n<strong>Output:</strong> 30\n<strong>Explanation:</strong> \nChoosing index 2 is optimal: nums1[2] * nums2[2] = 3 * 10 = 30 is the maximum possible score.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums1[i], nums2[j] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= n</code></li>\n</ul>\n",
            "translatedTitle": "最大子序列的分数",
            "translatedContent": "<p>给你两个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>nums1</code>&nbsp;和&nbsp;<code>nums2</code>&nbsp;，两者长度都是&nbsp;<code>n</code>&nbsp;，再给你一个正整数&nbsp;<code>k</code>&nbsp;。你必须从&nbsp;<code>nums1</code>&nbsp;中选一个长度为 <code>k</code>&nbsp;的 <strong>子序列</strong>&nbsp;对应的下标。</p>\n\n<p>对于选择的下标&nbsp;<code>i<sub>0</sub></code>&nbsp;，<code>i<sub>1</sub></code>&nbsp;，...，&nbsp;<code>i<sub>k - 1</sub></code>&nbsp;，你的&nbsp;<strong>分数</strong>&nbsp;定义如下：</p>\n\n<ul>\n\t<li><code>nums1</code>&nbsp;中下标对应元素求和，乘以&nbsp;<code>nums2</code>&nbsp;中下标对应元素的&nbsp;<strong>最小值</strong>&nbsp;。</li>\n\t<li>用公示表示：&nbsp;<code>(nums1[i<sub>0</sub>] + nums1[i<sub>1</sub>] +...+ nums1[i<sub>k - 1</sub>]) * min(nums2[i<sub>0</sub>] , nums2[i<sub>1</sub>], ... ,nums2[i<sub>k - 1</sub>])</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回 <strong>最大</strong>&nbsp;可能的分数。</p>\n\n<p>一个数组的 <strong>子序列</strong>&nbsp;下标是集合&nbsp;<code>{0, 1, ..., n-1}</code>&nbsp;中删除若干元素得到的剩余集合，也可以不删除任何元素。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>nums1 = [1,3,3,2], nums2 = [2,1,3,4], k = 3\n<b>输出：</b>12\n<b>解释：</b>\n四个可能的子序列分数为：\n- 选择下标 0 ，1 和 2 ，得到分数 (1+3+3) * min(2,1,3) = 7 。\n- 选择下标 0 ，1 和 3 ，得到分数 (1+3+2) * min(2,1,4) = 6 。\n- 选择下标 0 ，2 和 3 ，得到分数 (1+3+2) * min(2,3,4) = 12 。\n- 选择下标 1 ，2 和 3 ，得到分数 (3+3+2) * min(1,3,4) = 8 。\n所以最大分数为 12 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>nums1 = [4,2,3,1,1], nums2 = [7,5,10,9,6], k = 1\n<b>输出：</b>30\n<b>解释：</b>\n选择下标 2 最优：nums1[2] * nums2[2] = 3 * 10 = 30 是最大可能分数。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums1[i], nums2[j] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= n</code></li>\n</ul>\n",
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                "How can we use sorting here?",
                "Try sorting the two arrays based on second array.",
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