mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
17 KiB
JSON
180 lines
17 KiB
JSON
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"questionId": "2616",
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"title": "Maximal Score After Applying K Operations",
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"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> and an integer <code>k</code>. You have a <strong>starting score</strong> of <code>0</code>.</p>\n\n<p>In one <strong>operation</strong>:</p>\n\n<ol>\n\t<li>choose an index <code>i</code> such that <code>0 <= i < nums.length</code>,</li>\n\t<li>increase your <strong>score</strong> by <code>nums[i]</code>, and</li>\n\t<li>replace <code>nums[i]</code> with <code>ceil(nums[i] / 3)</code>.</li>\n</ol>\n\n<p>Return <em>the maximum possible <strong>score</strong> you can attain after applying <strong>exactly</strong></em> <code>k</code> <em>operations</em>.</p>\n\n<p>The ceiling function <code>ceil(val)</code> is the least integer greater than or equal to <code>val</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [10,10,10,10,10], k = 5\n<strong>Output:</strong> 50\n<strong>Explanation:</strong> Apply the operation to each array element exactly once. The final score is 10 + 10 + 10 + 10 + 10 = 50.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,10,3,3,3], k = 3\n<strong>Output:</strong> 17\n<strong>Explanation: </strong>You can do the following operations:\nOperation 1: Select i = 1, so nums becomes [1,<strong><u>4</u></strong>,3,3,3]. Your score increases by 10.\nOperation 2: Select i = 1, so nums becomes [1,<strong><u>2</u></strong>,3,3,3]. Your score increases by 4.\nOperation 3: Select i = 2, so nums becomes [1,1,<u><strong>1</strong></u>,3,3]. Your score increases by 3.\nThe final score is 10 + 4 + 3 = 17.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length, k <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"exampleTestcases": "[10,10,10,10,10]\n5\n[1,10,3,3,3]\n3",
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"categoryTitle": "Algorithms",
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"It is always optimal to select the greatest element in the array.",
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"Use a heap to query for the maximum in O(log n) time."
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