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

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            "title": "Find if Array Can Be Sorted",
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            "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",
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            "exampleTestcases": "[8,4,2,30,15]\n[1,2,3,4,5]\n[3,16,8,4,2]",
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                    "code": "class Solution(object):\n    def canSortArray(self, nums):\n        \"\"\"\n        :type nums: List[int]\n        :rtype: bool\n        \"\"\"\n        ",
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                "Split the array into segments. Each segment contains consecutive elements with the same number of set bits.",
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