Given a binary tree, find its maximum depth.
The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.
Note: A leaf is a node with no children.
Given binary tree [3,9,20,null,null,15,7],
3
/ \
9 20
/ \
15 7
return its depth = 3.
-
Time complexity :
O(n)
. We visit each node in the tree exactly once. -
Space complexity :
O(log(n)) - best, o(n) worst
. The best case is for a completely balanced tree. The worst case is for an unbalanced tree. The space is to keep a recursion stack.