mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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181 lines
18 KiB
JSON
181 lines
18 KiB
JSON
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"questionId": "2387",
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"title": "Partition Array Such That Maximum Difference Is K",
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"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>. You may partition <code>nums</code> into one or more <strong>subsequences</strong> such that each element in <code>nums</code> appears in <strong>exactly</strong> one of the subsequences.</p>\n\n<p>Return <em>the <strong>minimum </strong>number of subsequences needed such that the difference between the maximum and minimum values in each subsequence is <strong>at most</strong> </em><code>k</code><em>.</em></p>\n\n<p>A <strong>subsequence</strong> is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,6,1,2,5], k = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nWe can partition nums into the two subsequences [3,1,2] and [6,5].\nThe difference between the maximum and minimum value in the first subsequence is 3 - 1 = 2.\nThe difference between the maximum and minimum value in the second subsequence is 6 - 5 = 1.\nSince two subsequences were created, we return 2. It can be shown that 2 is the minimum number of subsequences needed.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3], k = 1\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nWe can partition nums into the two subsequences [1,2] and [3].\nThe difference between the maximum and minimum value in the first subsequence is 2 - 1 = 1.\nThe difference between the maximum and minimum value in the second subsequence is 3 - 3 = 0.\nSince two subsequences were created, we return 2. Note that another optimal solution is to partition nums into the two subsequences [1] and [2,3].\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,2,4,5], k = 0\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\nWe can partition nums into the three subsequences [2,2], [4], and [5].\nThe difference between the maximum and minimum value in the first subsequences is 2 - 2 = 0.\nThe difference between the maximum and minimum value in the second subsequences is 4 - 4 = 0.\nThe difference between the maximum and minimum value in the third subsequences is 5 - 5 = 0.\nSince three subsequences were created, we return 3. It can be shown that 3 is the minimum number of subsequences needed.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums[i] <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= k <= 10<sup>5</sup></code></li>\n</ul>\n",
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"code": "# @param {Integer[]} nums\n# @param {Integer} k\n# @return {Integer}\ndef partition_array(nums, k)\n \nend",
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"Which values in each subsequence matter? The only values that matter are the maximum and minimum values.",
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"Let the maximum and minimum values of a subsequence be Max and Min. It is optimal to place all values in between Max and Min in the original array in the same subsequence as Max and Min.",
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"Sort the array."
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