trim-a-binary-search-tree

Trim a Binary Search Tree

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trimBST

Given the <code>root</code> of a binary search tree and the lowest and highest boundaries as <code>low</code> and <code>high</code>, trim the tree so that all its elements lies in <code>[low, high]</code>. Trimming the tree should not change the relative structure of the elements that will remain in the tree (i.e., any node&#39;s descendant should remain a descendant). It can be proven that there is a unique answer.

Return the root of the trimmed binary search tree. Note that the root may change depending on the given bounds.

&nbsp;
Example 1:
<img alt="" src="https://assets.leetcode.com/uploads/2020/09/09/trim1.jpg" style="width: 450px; height: 126px;" />
<pre>
Input: root = [1,0,2], low = 1, high = 2
Output: [1,null,2]
</pre>

Example 2:
<img alt="" src="https://assets.leetcode.com/uploads/2020/09/09/trim2.jpg" style="width: 450px; height: 277px;" />
<pre>
Input: root = [3,0,4,null,2,null,null,1], low = 1, high = 3
Output: [3,2,null,1]
</pre>

&nbsp;
Constraints:

<ul>
	<li>The number of nodes in the tree is in the range <code>[1, 104]</code>.</li>
	<li><code>0 &lt;= Node.val &lt;= 104</code></li>
	<li>The value of each node in the tree is unique.</li>
	<li><code>root</code> is guaranteed to be a valid binary search tree.</li>
	<li><code>0 &lt;= low &lt;= high &lt;= 104</code></li>
</ul>

Tree

Depth-First Search

Binary Search Tree

Binary Tree

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