binary-tree-maximum-path-sum

Algorithms

Binary Tree Maximum Path Sum

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maxPathSum

A path in a binary tree is a sequence of nodes where each pair of adjacent nodes in the sequence has an edge connecting them. A node can only appear in the sequence at most once. Note that the path does not need to pass through the root.

The path sum of a path is the sum of the node&#39;s values in the path.

Given the <code>root</code> of a binary tree, return the maximum path sum of any non-empty path.

&nbsp;
Example 1:
<img alt="" src="https://assets.leetcode.com/uploads/2020/10/13/exx1.jpg" style="width: 322px; height: 182px;" />
<pre>
Input: root = [1,2,3]
Output: 6
Explanation: The optimal path is 2 -&gt; 1 -&gt; 3 with a path sum of 2 + 1 + 3 = 6.
</pre>

Example 2:
<img alt="" src="https://assets.leetcode.com/uploads/2020/10/13/exx2.jpg" />
<pre>
Input: root = [-10,9,20,null,null,15,7]
Output: 42
Explanation: The optimal path is 15 -&gt; 20 -&gt; 7 with a path sum of 15 + 20 + 7 = 42.
</pre>

&nbsp;
Constraints:

<ul>
	<li>The number of nodes in the tree is in the range <code>[1, 3 * 104]</code>.</li>
	<li><code>-1000 &lt;= Node.val &lt;= 1000</code></li>
</ul>

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