<p>You are given the <code>root</code> of a binary tree containing digits from <code>0</code> to <code>9</code> only.</p>

<p>Each root-to-leaf path in the tree represents a number.</p>

<ul>
	<li>For example, the root-to-leaf path <code>1 -&gt; 2 -&gt; 3</code> represents the number <code>123</code>.</li>
</ul>

<p>Return <em>the total sum of all root-to-leaf numbers</em>. Test cases are generated so that the answer will fit in a <strong>32-bit</strong> integer.</p>

<p>A <strong>leaf</strong> node is a node with no children.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/19/num1tree.jpg" style="width: 212px; height: 182px;" />
<pre>
<strong>Input:</strong> root = [1,2,3]
<strong>Output:</strong> 25
<strong>Explanation:</strong>
The root-to-leaf path <code>1-&gt;2</code> represents the number <code>12</code>.
The root-to-leaf path <code>1-&gt;3</code> represents the number <code>13</code>.
Therefore, sum = 12 + 13 = <code>25</code>.
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/19/num2tree.jpg" style="width: 292px; height: 302px;" />
<pre>
<strong>Input:</strong> root = [4,9,0,5,1]
<strong>Output:</strong> 1026
<strong>Explanation:</strong>
The root-to-leaf path <code>4-&gt;9-&gt;5</code> represents the number 495.
The root-to-leaf path <code>4-&gt;9-&gt;1</code> represents the number 491.
The root-to-leaf path <code>4-&gt;0</code> represents the number 40.
Therefore, sum = 495 + 491 + 40 = <code>1026</code>.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li>The number of nodes in the tree is in the range <code>[1, 1000]</code>.</li>
	<li><code>0 &lt;= Node.val &lt;= 9</code></li>
	<li>The depth of the tree will not exceed <code>10</code>.</li>
</ul>

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def sumNumbers(self, root: Optional[TreeNode]) -> int:
        def dfs(node, num):
            if not node:
                return 0
            
            num = num * 10 + node.val
            if not node.left and not node.right:
                return num
            return dfs(node.left, num) + dfs(node.right, num) 
        
        return dfs(root, 0)
        
16500