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.
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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