mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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183 lines
19 KiB
JSON
183 lines
19 KiB
JSON
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"title": "Make Lexicographically Smallest Array by Swapping Elements",
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"content": "<p>You are given a <strong>0-indexed</strong> array of <strong>positive</strong> integers <code>nums</code> and a <strong>positive</strong> integer <code>limit</code>.</p>\n\n<p>In one operation, you can choose any two indices <code>i</code> and <code>j</code> and swap <code>nums[i]</code> and <code>nums[j]</code> <strong>if</strong> <code>|nums[i] - nums[j]| <= limit</code>.</p>\n\n<p>Return <em>the <strong>lexicographically smallest array</strong> that can be obtained by performing the operation any number of times</em>.</p>\n\n<p>An array <code>a</code> is lexicographically smaller than an array <code>b</code> if in the first position where <code>a</code> and <code>b</code> differ, array <code>a</code> has an element that is less than the corresponding element in <code>b</code>. For example, the array <code>[2,10,3]</code> is lexicographically smaller than the array <code>[10,2,3]</code> because they differ at index <code>0</code> and <code>2 < 10</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,5,3,9,8], limit = 2\n<strong>Output:</strong> [1,3,5,8,9]\n<strong>Explanation:</strong> Apply the operation 2 times:\n- Swap nums[1] with nums[2]. The array becomes [1,3,5,9,8]\n- Swap nums[3] with nums[4]. The array becomes [1,3,5,8,9]\nWe cannot obtain a lexicographically smaller array by applying any more operations.\nNote that it may be possible to get the same result by doing different operations.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,7,6,18,2,1], limit = 3\n<strong>Output:</strong> [1,6,7,18,1,2]\n<strong>Explanation:</strong> Apply the operation 3 times:\n- Swap nums[1] with nums[2]. The array becomes [1,6,7,18,2,1]\n- Swap nums[0] with nums[4]. The array becomes [2,6,7,18,1,1]\n- Swap nums[0] with nums[5]. The array becomes [1,6,7,18,1,2]\nWe cannot obtain a lexicographically smaller array by applying any more operations.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,7,28,19,10], limit = 3\n<strong>Output:</strong> [1,7,28,19,10]\n<strong>Explanation:</strong> [1,7,28,19,10] is the lexicographically smallest array we can obtain because we cannot apply the operation on any two indices.\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>1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= limit <= 10<sup>9</sup></code></li>\n</ul>\n",
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"exampleTestcases": "[1,5,3,9,8]\n2\n[1,7,6,18,2,1]\n3\n[1,7,28,19,10]\n3",
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"code": "class Solution(object):\n def lexicographicallySmallestArray(self, nums, limit):\n \"\"\"\n :type nums: List[int]\n :type limit: int\n :rtype: List[int]\n \"\"\"\n ",
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"code": "/**\n * Note: The returned array must be malloced, assume caller calls free().\n */\nint* lexicographicallySmallestArray(int* nums, int numsSize, int limit, int* returnSize) {\n \n}",
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"code": "/**\n * @param {number[]} nums\n * @param {number} limit\n * @return {number[]}\n */\nvar lexicographicallySmallestArray = function(nums, limit) {\n \n};",
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"code": "class Solution {\n fun lexicographicallySmallestArray(nums: IntArray, limit: Int): IntArray {\n \n }\n}",
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"code": "# @param {Integer[]} nums\n# @param {Integer} limit\n# @return {Integer[]}\ndef lexicographically_smallest_array(nums, limit)\n \nend",
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"code": "impl Solution {\n pub fn lexicographically_smallest_array(nums: Vec<i32>, limit: i32) -> Vec<i32> {\n \n }\n}",
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"code": "defmodule Solution do\n @spec lexicographically_smallest_array(nums :: [integer], limit :: integer) :: [integer]\n def lexicographically_smallest_array(nums, limit) do\n \n end\nend",
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"hints": [
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"Construct a virtual graph where all elements in <code>nums</code> are nodes and the pairs satisfying the condition have an edge between them.",
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"Instead of constructing all edges, we only care about the connected components.",
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"Can we use DSU?",
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"Sort <code>nums</code>. Now we just need to consider if the consecutive elements have an edge to check if they belong to the same connected component. Hence, all connected components become a list of position-consecutive elements after sorting.",
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"For each index of <code>nums</code> from <code>0</code> to <code>nums.length - 1</code> we can change it to the current minimum value we have in its connected component and remove that value from the connected component."
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