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1 | 1 | # [3011.Find if Array Can Be Sorted][title] |
2 | 2 |
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3 | | -> [!WARNING|style:flat] |
4 | | -> This question is temporarily unanswered if you have good ideas. Welcome to [Create Pull Request PR](https://github.com/kylesliu/awesome-golang-algorithm) |
5 | | -
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6 | 3 | ## Description |
| 4 | +You are given a **0-indexed** array of **positive** integers `nums`. |
| 5 | + |
| 6 | +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**). |
| 7 | + |
| 8 | +Return `true` if you can sort the array, else return `false`. |
7 | 9 |
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8 | 10 | **Example 1:** |
9 | 11 |
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10 | 12 | ``` |
11 | | -Input: a = "11", b = "1" |
12 | | -Output: "100" |
| 13 | +Input: nums = [8,4,2,30,15] |
| 14 | +Output: true |
| 15 | +Explanation: 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". |
| 16 | +We can sort the array using 4 operations: |
| 17 | +- 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]. |
| 18 | +- 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]. |
| 19 | +- 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]. |
| 20 | +- 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]. |
| 21 | +The array has become sorted, hence we return true. |
| 22 | +Note that there may be other sequences of operations which also sort the array. |
13 | 23 | ``` |
14 | 24 |
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15 | | -## 题意 |
16 | | -> ... |
17 | | -
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18 | | -## 题解 |
| 25 | +**Example 2:** |
19 | 26 |
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20 | | -### 思路1 |
21 | | -> ... |
22 | | -Find if Array Can Be Sorted |
23 | | -```go |
24 | 27 | ``` |
| 28 | +Input: nums = [1,2,3,4,5] |
| 29 | +Output: true |
| 30 | +Explanation: The array is already sorted, hence we return true. |
| 31 | +``` |
| 32 | + |
| 33 | +**Example 3:** |
25 | 34 |
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| 35 | +``` |
| 36 | +Input: nums = [3,16,8,4,2] |
| 37 | +Output: false |
| 38 | +Explanation: It can be shown that it is not possible to sort the input array using any number of operations. |
| 39 | +``` |
26 | 40 |
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27 | 41 | ## 结语 |
28 | 42 |
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