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            "categoryTitle": "Algorithms",
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            "title": "Minimize Hamming Distance After Swap Operations",
            "titleSlug": "minimize-hamming-distance-after-swap-operations",
            "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 &lt;= i &lt;= 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>&nbsp;</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>&nbsp;</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 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= source[i], target[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= allowedSwaps.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>allowedSwaps[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n</ul>\n",
            "translatedTitle": "执行交换操作后的最小汉明距离",
            "translatedContent": "<p>给你两个整数数组 <code>source</code> 和 <code>target</code> ，长度都是 <code>n</code> 。还有一个数组 <code>allowedSwaps</code> ，其中每个 <code>allowedSwaps[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> 表示你可以交换数组 <code>source</code> 中下标为 <code>a<sub>i</sub></code> 和 <code>b<sub>i</sub></code>（<strong>下标从 0 开始</strong>）的两个元素。注意，你可以按 <strong>任意</strong> 顺序 <strong>多次</strong> 交换一对特定下标指向的元素。</p>\n\n<p>相同长度的两个数组 <code>source</code> 和 <code>target</code> 间的 <strong>汉明距离</strong> 是元素不同的下标数量。形式上，其值等于满足 <code>source[i] != target[i]</code> （<strong>下标从 0 开始</strong>）的下标 <code>i</code>（<code>0 &lt;= i &lt;= n-1</code>）的数量。</p>\n\n<p>在对数组 <code>source</code> 执行 <strong>任意</strong> 数量的交换操作后，返回 <code>source</code> 和 <code>target</code> 间的 <strong>最小汉明距离</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>source = [1,2,3,4], target = [2,1,4,5], allowedSwaps = [[0,1],[2,3]]\n<strong>输出：</strong>1\n<strong>解释：</strong>source 可以按下述方式转换：\n- 交换下标 0 和 1 指向的元素：source = [<strong>2</strong>,<strong>1</strong>,3,4]\n- 交换下标 2 和 3 指向的元素：source = [2,1,<strong>4</strong>,<strong>3</strong>]\nsource 和 target 间的汉明距离是 1 ，二者有 1 处元素不同，在下标 3 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>source = [1,2,3,4], target = [1,3,2,4], allowedSwaps = []\n<strong>输出：</strong>2\n<strong>解释：</strong>不能对 source 执行交换操作。\nsource 和 target 间的汉明距离是 2 ，二者有 2 处元素不同，在下标 1 和下标 2 。</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>source = [5,1,2,4,3], target = [1,5,4,2,3], allowedSwaps = [[0,4],[4,2],[1,3],[1,4]]\n<strong>输出：</strong>0\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == source.length == target.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= source[i], target[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= allowedSwaps.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>allowedSwaps[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= 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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