You are given a 0-indexed array of positive integers nums.
In one operation, you can swap any two adjacent elements if they have the same number of set bits. You are allowed to do this operation any number of times (including zero).
\n\nReturn true if you can sort the array, else return false.
\n
Example 1:
\n\n\nInput: nums = [8,4,2,30,15]\nOutput: true\nExplanation: Let's look at the binary representation of every element. The numbers 2, 4, and 8 have one set bit each with binary representation "10", "100", and "1000" respectively. The numbers 15 and 30 have four set bits each with binary representation "1111" and "11110".\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\n\n
Example 2:
\n\n\nInput: nums = [1,2,3,4,5]\nOutput: true\nExplanation: The array is already sorted, hence we return true.\n\n\n
Example 3:
\n\n\nInput: nums = [3,16,8,4,2]\nOutput: false\nExplanation: It can be shown that it is not possible to sort the input array using any number of operations.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1001 <= nums[i] <= 28给你一个下标从 0 开始且全是 正 整数的数组 nums 。
一次 操作 中，如果两个 相邻 元素在二进制下数位为 1 的数目 相同 ，那么你可以将这两个元素交换。你可以执行这个操作 任意次 （也可以 0 次）。
\n\n如果你可以使数组变有序，请你返回 true ，否则返回 false 。
\n\n
示例 1：
\n\n\n输入：nums = [8,4,2,30,15]\n输出：true\n解释：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\n\n
示例 2：
\n\n\n输入：nums = [1,2,3,4,5]\n输出：true\n解释：数组已经是有序的，所以我们返回 true 。\n\n\n
示例 3：
\n\n\n输入：nums = [3,16,8,4,2]\n输出：false\n解释：无法通过操作使数组变为有序。\n\n\n
\n\n
提示：
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