# 0667. Beautiful Arrangement II

<https://leetcode.com/problems/beautiful-arrangement-ii>

## Description

Given two integers `n` and `k`, construct a list `answer` that contains `n` different positive integers ranging from `1` to `n` and obeys the following requirement:

* Suppose this list is `answer = [a1, a2, a3, ... , an]`, then the list `[|a1 - a2|, |a2 - a3|, |a3 - a4|, ... , |an-1 - an|]` has exactly `k` distinct integers.

Return *the list* `answer`. If there multiple valid answers, return **any of them**.

**Example 1:**

```
**Input:** n = 3, k = 1
**Output:** [1,2,3]
Explanation: The [1,2,3] has three different positive integers ranging from 1 to 3, and the [1,1] has exactly 1 distinct integer: 1
```

**Example 2:**

```
**Input:** n = 3, k = 2
**Output:** [1,3,2]
Explanation: The [1,3,2] has three different positive integers ranging from 1 to 3, and the [2,1] has exactly 2 distinct integers: 1 and 2.
```

**Constraints:**

* `1 <= k < n <= 104`

## ac

```java
```


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