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g0601_0700.s0667_beautiful_arrangement_ii.readme.md Maven / Gradle / Ivy

667\. Beautiful Arrangement II

Medium

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