Medium
You are given the root of a binary tree containing digits from 0 to 9 only.
Each root-to-leaf path in the tree represents a number.
1 -> 2 -> 3 represents the number 123.Return the total sum of all root-to-leaf numbers. Test cases are generated so that the answer will fit in a 32-bit integer.
A leaf node is a node with no children.
Example 1:

Input: root = [1,2,3]
Output: 25
Explanation: The root-to-leaf path 1->2 represents the number 12. The root-to-leaf path 1->3 represents the number 13. Therefore, sum = 12 + 13 = 25.
Example 2:

Input: root = [4,9,0,5,1]
Output: 1026
Explanation: The root-to-leaf path 4->9->5 represents the number 495. The root-to-leaf path 4->9->1 represents the number 491. The root-to-leaf path 4->0 represents the number 40. Therefore, sum = 495 + 491 + 40 = 1026.
Constraints:
[1, 1000].0 <= Node.val <= 910.from typing import Optional
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val
self.left = left
self.right = right
class Solution:
def __init__(self):
self.sum_total = 0
def sumNumbers(self, root: Optional[TreeNode]) -> int:
self._recurseSum(root, 0)
return self.sum_total
def _recurseSum(self, node: Optional[TreeNode], cur_num: int):
if node.left is None and node.right is None:
self.sum_total += 10 * cur_num + node.val
else:
if node.left is not None:
self._recurseSum(node.left, 10 * cur_num + node.val)
if node.right is not None:
self._recurseSum(node.right, 10 * cur_num + node.val)