Vertical Width of a Binary Tree | GFG POTD | Geeks For Geeks | Problem of the day

🔍 Find the Vertical Width of a Binary Tree in Java! 🌳
Vertical Width of a Binary Tree
Welcome to this coding tutorial where we'll explore how to determine the vertical width of a binary tree using Java. In this video, we'll walk through a solution that calculates the horizontal distance of nodes from the root and determines the overall vertical width of the tree.
📜 Overview
The vertical width of a binary tree is defined as the number of unique vertical lines passing through the nodes of the tree. We'll achieve this by calculating the minimum and maximum horizontal distances from the root node.
📝 Explanation
Initialization:
We start by initializing two variables min and max to keep track of the minimum and maximum horizontal distances (hd).
Vertical Width Calculation:
The verticalWidth method first checks if the root is null. If it is, the width is 0.
We then call the helper method fun with the root node and an initial horizontal distance of 0.
Helper Method - fun:
The helper method fun is a recursive function that traverses the tree.
For each node, we compare the current horizontal distance (hd) with min and max to update them if necessary.
We recursively call fun for the left child with hd - 1 and for the right child with hd + 1.
Result Calculation:
After traversing the tree, the vertical width is calculated as max - min + 1, which represents the number of unique vertical lines.
🚀 Conclusion
This approach effectively uses a depth-first traversal to determine the range of horizontal distances covered by the nodes in the tree, giving us the vertical width. It's an efficient method with a time complexity of O(n), where n is the number of nodes in the tree.
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