kth-smallest-element-in-a-bst

Algorithms

Kth Smallest Element in a BST

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kthSmallest

Given the <code>root</code> of a binary search tree, and an integer <code>k</code>, return the <code>kth</code> smallest value (1-indexed) of all the values of the nodes in the tree.

&nbsp;
Example 1:
<img alt="" src="https://assets.leetcode.com/uploads/2021/01/28/kthtree1.jpg" style="width: 212px; height: 301px;" />
<pre>
Input: root = [3,1,4,null,2], k = 1
Output: 1
</pre>

Example 2:
<img alt="" src="https://assets.leetcode.com/uploads/2021/01/28/kthtree2.jpg" style="width: 382px; height: 302px;" />
<pre>
Input: root = [5,3,6,2,4,null,null,1], k = 3
Output: 3
</pre>

&nbsp;
Constraints:

<ul>
	<li>The number of nodes in the tree is <code>n</code>.</li>
	<li><code>1 &lt;= k &lt;= n &lt;= 104</code></li>
	<li><code>0 &lt;= Node.val &lt;= 104</code></li>
</ul>

&nbsp;
Follow up: If the BST is modified often (i.e., we can do insert and delete operations) and you need to find the kth smallest frequently, how would you optimize?

Tree

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