mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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181 lines
19 KiB
JSON
181 lines
19 KiB
JSON
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"questionId": "1840",
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"questionFrontendId": "1722",
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"boundTopicId": null,
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"title": "Minimize Hamming Distance After Swap Operations",
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"titleSlug": "minimize-hamming-distance-after-swap-operations",
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"content": "<p>You are given two integer arrays, <code>source</code> and <code>target</code>, both of length <code>n</code>. You are also given an array <code>allowedSwaps</code> where each <code>allowedSwaps[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that you are allowed to swap the elements at index <code>a<sub>i</sub></code> and index <code>b<sub>i</sub></code> <strong>(0-indexed)</strong> of array <code>source</code>. Note that you can swap elements at a specific pair of indices <strong>multiple</strong> times and in <strong>any</strong> order.</p>\n\n<p>The <strong>Hamming distance</strong> of two arrays of the same length, <code>source</code> and <code>target</code>, is the number of positions where the elements are different. Formally, it is the number of indices <code>i</code> for <code>0 <= i <= n-1</code> where <code>source[i] != target[i]</code> <strong>(0-indexed)</strong>.</p>\n\n<p>Return <em>the <strong>minimum Hamming distance</strong> of </em><code>source</code><em> and </em><code>target</code><em> after performing <strong>any</strong> amount of swap operations on array </em><code>source</code><em>.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> source = [1,2,3,4], target = [2,1,4,5], allowedSwaps = [[0,1],[2,3]]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> source can be transformed the following way:\n- Swap indices 0 and 1: source = [<u>2</u>,<u>1</u>,3,4]\n- Swap indices 2 and 3: source = [2,1,<u>4</u>,<u>3</u>]\nThe Hamming distance of source and target is 1 as they differ in 1 position: index 3.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> source = [1,2,3,4], target = [1,3,2,4], allowedSwaps = []\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are no allowed swaps.\nThe Hamming distance of source and target is 2 as they differ in 2 positions: index 1 and index 2.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> source = [5,1,2,4,3], target = [1,5,4,2,3], allowedSwaps = [[0,4],[4,2],[1,3],[1,4]]\n<strong>Output:</strong> 0\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == source.length == target.length</code></li>\n\t<li><code>1 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= source[i], target[i] <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= allowedSwaps.length <= 10<sup>5</sup></code></li>\n\t<li><code>allowedSwaps[i].length == 2</code></li>\n\t<li><code>0 <= a<sub>i</sub>, b<sub>i</sub> <= n - 1</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n</ul>\n",
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"code": "class Solution(object):\n def minimumHammingDistance(self, source, target, allowedSwaps):\n \"\"\"\n :type source: List[int]\n :type target: List[int]\n :type allowedSwaps: List[List[int]]\n :rtype: int\n \"\"\"\n ",
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"code": "class Solution {\n\n /**\n * @param Integer[] $source\n * @param Integer[] $target\n * @param Integer[][] $allowedSwaps\n * @return Integer\n */\n function minimumHammingDistance($source, $target, $allowedSwaps) {\n \n }\n}",
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"code": "# @param {Integer[]} source\n# @param {Integer[]} target\n# @param {Integer[][]} allowed_swaps\n# @return {Integer}\ndef minimum_hamming_distance(source, target, allowed_swaps)\n \nend",
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"code": "impl Solution {\n pub fn minimum_hamming_distance(source: Vec<i32>, target: Vec<i32>, allowed_swaps: Vec<Vec<i32>>) -> i32 {\n \n }\n}",
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"The source array can be imagined as a graph where each index is a node and each allowedSwaps[i] is an edge.",
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"Nodes within the same component can be freely swapped with each other.",
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"For each component, find the number of common elements. The elements that are not in common will contribute to the total Hamming distance."
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