2015年8月30日星期日

Count Complete Tree Nodes

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) {
        int leftDepth = getDepth(root, true);
        int rightDepth = getDepth(root, false);
        if (leftDepth == rightDepth) {
            return (1 << leftDepth) - 1;
        } else {
            return 1 + countNodes(root.left) + countNodes(root.right);
        }
    }
   
    private int getDepth(TreeNode node, boolean left) {
        int depth = 0;
        while (node != null) {
            if (left) {
                node = node.left;
            } else {
                node = node.right;
            }
            depth += 1;
        }
        return depth;
    }
}

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