Given a complete binary tree, count the number of nodes.
Definition of a complete binary tree from Wikipedia:
In a complete binary tree every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.
统计完全二叉树的节点个数
递归实现。
/** * Definition for a binary tree node. * public class TreeNode { * int val; * TreeNode left; * TreeNode right; * TreeNode(int x) { val = x; } * } */ public class Solution { public int countNodes(TreeNode root) { if (root == null){ return 0; } int deep = 0; TreeNode node = root; while (node != null){ node = node.left; deep++; } node = root; int height = 0; while (node != null){ node = node.right; height++; } if (deep == height){ return (1 << height) - 1; } else { return countNodes(root.left) + countNodes(root.right) + 1; } } }