700656. Height of Spiral Tree
Here is a detailed markdown blog post for the GeeksforGeeks problem "Height of Spiral Tree":
Height of Spiral Tree Slug: height-of-spiral-tree Difficulty: Easy Id: 700656 Topic Tags: Tree, Data Structures Company Tags: Amazon
Summary
The Height of Spiral Tree problem involves traversing a binary tree in a specific pattern to find its maximum height. The tree needs to be traversed from left to right and then from top to bottom, repeating this process until the entire tree is covered.
Detailed Explanation
To solve this problem, we can start by defining a function that takes the root of the tree as input and returns the height of the spiral traversal. We will use recursion to traverse the tree in the specified pattern.
Here's a step-by-step breakdown of the solution:
- Start by traversing from left to right (i.e., in-order) until we reach the end of the current level.
- Once we have reached the end of the current level, move down to the next level and traverse from top to bottom (i.e., post-order).
- Repeat steps 1 and 2 until the entire tree is covered.
Here's an ASCII art diagram illustrating the spiral traversal pattern:
1
/
2 3
/ \
4 5 6
Time complexity: O(n), where n is the number of nodes in the tree. Space complexity: O(h), where h is the height of the tree.
Optimized Solutions
Java
public class SpiralTree {
public int spiralHeight(TreeNode root) {
if (root == null) return 0;
int left = spiralHeight(root.left);
int right = spiralHeight(root.right);
return Math.max(left, right) + 1;
}
}