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 2hnodes inclusive at the last level h.
/** * 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; } return bs(root, 1, mostLeftLevel(root, 1)); } private int bs(TreeNode root, int level, int h) { // TODO Auto-generated method stub if (level == h) { return 1; } if (mostLeftLevel(root.right, level+1) == h) { return (1 << (h - level)) + bs(root.right, level+1, h); } else { return (1 << (h - level - 1)) + bs(root.left, level+1, h); } } private int mostLeftLevel(TreeNode root, int i) { // TODO Auto-generated method stub while (root != null) { i++; root = root.left; } return i - 1; } }
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