Which approach is best to check if the tree is balanced efficiently?
hard🎤 Interviewer Follow-up Q15 of Q15
Tree: Depth-First Search - Balanced Binary Tree
Suppose the problem is modified so that the tree can have nodes with arbitrary large depth, and you want to avoid recursion stack overflow. Which approach is best to check if the tree is balanced efficiently?
AUse the brute force recursive height check since it is simpler to implement.
BUse iterative postorder traversal with a stack to compute heights and check balance.
CUse a breadth-first traversal and check balance at each level.
DUse a global variable to store height and recurse with tail recursion optimization.
Step-by-Step Solution
Solution:
Step 1: Understand recursion stack limitations
Deep trees can cause recursion stack overflow in recursive solutions.
Step 2: Identify iterative approach benefits
Iterative postorder traversal uses explicit stack, avoiding recursion limits and still computes heights and balance in O(n) time.
