leetcode-problemset/leetcode-cn/originData/find-if-array-can-be-sorted.json

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            "title": "Find if Array Can Be Sorted",
            "titleSlug": "find-if-array-can-be-sorted",
            "content": "<p>You are given a <strong>0-indexed</strong> array of <strong>positive</strong> integers <code>nums</code>.</p>\n\n<p>In one <strong>operation</strong>, you can swap any two <strong>adjacent</strong> elements if they have the <strong>same</strong> number of <span data-keyword=\"set-bit\">set bits</span>. You are allowed to do this operation <strong>any</strong> number of times (<strong>including zero</strong>).</p>\n\n<p>Return <code>true</code> <em>if you can sort the array, else return </em><code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [8,4,2,30,15]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> Let&#39;s look at the binary representation of every element. The numbers 2, 4, and 8 have one set bit each with binary representation &quot;10&quot;, &quot;100&quot;, and &quot;1000&quot; respectively. The numbers 15 and 30 have four set bits each with binary representation &quot;1111&quot; and &quot;11110&quot;.\nWe can sort the array using 4 operations:\n- Swap nums[0] with nums[1]. This operation is valid because 8 and 4 have one set bit each. The array becomes [4,8,2,30,15].\n- Swap nums[1] with nums[2]. This operation is valid because 8 and 2 have one set bit each. The array becomes [4,2,8,30,15].\n- Swap nums[0] with nums[1]. This operation is valid because 4 and 2 have one set bit each. The array becomes [2,4,8,30,15].\n- Swap nums[3] with nums[4]. This operation is valid because 30 and 15 have four set bits each. The array becomes [2,4,8,15,30].\nThe array has become sorted, hence we return true.\nNote that there may be other sequences of operations which also sort the array.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4,5]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> The array is already sorted, hence we return true.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,16,8,4,2]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> It can be shown that it is not possible to sort the input array using any number of operations.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 2<sup>8</sup></code></li>\n</ul>\n",
            "translatedTitle": "判断一个数组是否可以变为有序",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始且全是 <strong>正</strong>&nbsp;整数的数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p>一次 <b>操作</b>&nbsp;中，如果两个 <strong>相邻</strong>&nbsp;元素在二进制下数位为 <strong>1</strong>&nbsp;的数目 <strong>相同</strong>&nbsp;，那么你可以将这两个元素交换。你可以执行这个操作 <strong>任意次</strong>&nbsp;（<strong>也可以 0 次</strong>）。</p>\n\n<p>如果你可以使数组变有序，请你返回&nbsp;<code>true</code> ，否则返回&nbsp;<code>false</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [8,4,2,30,15]\n<b>输出：</b>true\n<b>解释：</b>我们先观察每个元素的二进制表示。 2 ，4 和 8 分别都只有一个数位为 1 ，分别为 \"10\" ，\"100\" 和 \"1000\" 。15 和 30 分别有 4 个数位为 1 ：\"1111\" 和 \"11110\" 。\n我们可以通过 4 个操作使数组有序：\n- 交换 nums[0] 和 nums[1] 。8 和 4 分别只有 1 个数位为 1 。数组变为 [4,8,2,30,15] 。\n- 交换 nums[1] 和 nums[2] 。8 和 2 分别只有 1 个数位为 1 。数组变为 [4,2,8,30,15] 。\n- 交换 nums[0] 和 nums[1] 。4 和 2 分别只有 1 个数位为 1 。数组变为 [2,4,8,30,15] 。\n- 交换 nums[3] 和 nums[4] 。30 和 15 分别有 4 个数位为 1 ，数组变为 [2,4,8,15,30] 。\n数组变成有序的，所以我们返回 true 。\n注意我们还可以通过其他的操作序列使数组变得有序。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,2,3,4,5]\n<b>输出：</b>true\n<b>解释：</b>数组已经是有序的，所以我们返回 true 。\n</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [3,16,8,4,2]\n<b>输出：</b>false\n<b>解释：</b>无法通过操作使数组变为有序。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 2<sup>8</sup></code></li>\n</ul>\n",
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