Understanding the tree structure
OK, let me see. The problem involves a fully filled binary tree with a 10th level having 10 leaf nodes. The task is to determine the maximum number of nodes in the tree, considering the constraints.
Understanding the structure
A complete binary tree of height H usually spans levels 1 to H. Since the 10th level has only 10 nodes, it is partially filled, affecting the total node count.
Maximizing node distribution
I’m pulling together insights on distributing nodes efficiently. By optimizing the 9th level to hold 256 nodes and filling 10 nodes in the 10th level, the total number of nodes is maximized.
Confirming tree structure
I'm verifying that the 9th level is completely filled with 256 nodes, and the 10th level has 10 nodes, partially completing the complete binary tree.
Calculating the total
Adding the nodes from levels 1 to 9 gives 511, plus 10 nodes from level 10, totaling 521 nodes. This confirms the maximum node count.
Verifying results
I'm confirming the total count of 521 nodes by using the complete binary tree formula, ensuring precision in the calculation for the given height and nodes.
Thought about 完全二叉树节点数，持续 31 秒
