beautiful-array

Beautiful Array

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beautifulArray

An array <code>nums</code> of length <code>n</code> is beautiful if:

<ul>
	<li><code>nums</code> is a permutation of the integers in the range <code>[1, n]</code>.</li>
	<li>For every <code>0 &lt;= i &lt; j &lt; n</code>, there is no index <code>k</code> with <code>i &lt; k &lt; j</code> where <code>2 * nums[k] == nums[i] + nums[j]</code>.</li>
</ul>

Given the integer <code>n</code>, return any beautiful array <code>nums</code> of length <code>n</code>. There will be at least one valid answer for the given <code>n</code>.

&nbsp;
Example 1:
<pre>Input: n = 4
Output: [2,1,4,3]
</pre>Example 2:
<pre>Input: n = 5
Output: [3,1,2,5,4]
</pre>
&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= n &lt;= 1000</code></li>
</ul>

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