<p>Given the <code>root</code> of a binary tree, return <em>the sum of values of nodes with an <strong>even-valued grandparent</strong></em>. If there are no nodes with an <strong>even-valued grandparent</strong>, return <code>0</code>.</p>

<p>A <strong>grandparent</strong> of a node is the parent of its parent if it exists.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/08/10/even1-tree.jpg" style="width: 504px; height: 302px;" />
<pre>
<strong>Input:</strong> root = [6,7,8,2,7,1,3,9,null,1,4,null,null,null,5]
<strong>Output:</strong> 18
<strong>Explanation:</strong> The red nodes are the nodes with even-value grandparent while the blue nodes are the even-value grandparents.
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/08/10/even2-tree.jpg" style="width: 64px; height: 65px;" />
<pre>
<strong>Input:</strong> root = [1]
<strong>Output:</strong> 0
</pre>

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

<ul>
	<li>The number of nodes in the tree is in the range <code>[1, 10<sup>4</sup>]</code>.</li>
	<li><code>1 &lt;= Node.val &lt;= 100</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 sumEvenGrandparent(self, root: TreeNode) -> int:
        def dfs(node, p, g):
            res = 0
            if g and g.val & 1 == 0:
                res += node.val
            if node.left:
                res += dfs(node.left, node, p)
            if node.right:
                res += dfs(node.right, node, p)
            return res
        return dfs(root, None, None)
            
19100