permutation-sequence

Algorithms

Permutation Sequence

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getPermutation

The set <code>[1, 2, 3, ...,&nbsp;n]</code> contains a total of <code>n!</code> unique permutations.

By listing and labeling all of the permutations in order, we get the following sequence for <code>n = 3</code>:

<ol>
	<li><code>&quot;123&quot;</code></li>
	<li><code>&quot;132&quot;</code></li>
	<li><code>&quot;213&quot;</code></li>
	<li><code>&quot;231&quot;</code></li>
	<li><code>&quot;312&quot;</code></li>
	<li><code>&quot;321&quot;</code></li>
</ol>

Given <code>n</code> and <code>k</code>, return the <code>kth</code> permutation sequence.

&nbsp;
Example 1:
<pre>Input: n = 3, k = 3
Output: "213"
</pre>Example 2:
<pre>Input: n = 4, k = 9
Output: "2314"
</pre>Example 3:
<pre>Input: n = 3, k = 1
Output: "123"
</pre>
&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= n &lt;= 9</code></li>
	<li><code>1 &lt;= k &lt;= n!</code></li>
</ul>

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