Finding height in Binary Search Tree
The height of a binary search tree is equal to number of layers - 1
.
See the diagram at http://en.wikipedia.org/wiki/Binary_tree
Your recursion is good, so just subtract one at the root level.
Also note, you can clean up the function a bit by handling null nodes:
int findHeight(node) {
if (node == null) return 0;
return 1 + max(findHeight(node.left), findHeight(node.right));
}
The problem lies in your base case.
"The height of a tree is the length of the path from the root to the deepest node in the tree. A (rooted) tree with only a node (the root) has a height of zero." - Wikipedia
If there is no node, you want to return -1 not 0. This is because you are adding 1 at the end.
So if there isn't a node, you return -1 which cancels out the +1.
int findHeight(TreeNode<T> aNode) {
if (aNode == null) {
return -1;
}
int lefth = findHeight(aNode.left);
int righth = findHeight(aNode.right);
if (lefth > righth) {
return lefth + 1;
} else {
return righth + 1;
}
}