mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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162 lines
17 KiB
JSON
162 lines
17 KiB
JSON
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"questionId": "2636",
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"questionFrontendId": "2542",
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"title": "Maximum Subsequence Score",
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"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> </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> </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 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums1[i], nums2[j] <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= k <= n</code></li>\n</ul>\n",
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"hints": [
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"How can we use sorting here?",
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"Try sorting the two arrays based on second array.",
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"Loop through nums2 and compute the max product given the minimum is nums2[i]. Update the answer accordingly."
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