Count Complete Tree Nodes(Medium)
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.
public int countNodes(TreeNode root) {
if(root==null) return 0;
int l = getLeft(root) + 1;
int r = getRight(root) + 1;
if(l==r) {
return (2<<(l-1)) - 1;
} else {
return countNodes(root.left) + countNodes(root.right) + 1;
}
}
private int getLeft(TreeNode root) {
int count = 0;
while(root.left!=null) {
root = root.left;
++count;
}
return count;
}
private int getRight(TreeNode root) {
int count = 0;
while(root.right!=null) {
root = root.right;
++count;
}
return count;
}