✅Day 60 | LeetCode 1609. Even Odd Tree
🌟 Welcome to the Exploration of Even-Odd Binary Trees! 🚀
Embark on an intriguing journey through the enchanting world of binary trees as we unveil the mysteries of even-odd tree structures. Join us as we traverse the tree's branches, delving into the depths of node values to uncover the secrets hidden within.
🎯 Problem Overview:
In this captivating challenge, we encounter a binary tree rooted at the top. Our task is to determine whether the tree follows the even-odd property, which specifies that:
For every even level, the nodes' values must be strictly increasing from left to right, and all values must be odd.
For every odd level, the nodes' values must be strictly decreasing from left to right, and all values must be even.
We aim to devise an algorithm that traverses the tree, ensuring that it adheres to the even-odd property at each level.
🚀 Algorithm Breakdown:
We begin by performing a level-order traversal of the binary tree using a queue.
At each level, we maintain a variable to track the previous node's value (prev_val) to ensure strict ordering.
We iterate through each node at the current level and check whether it satisfies the even-odd property:
For even levels, we ensure that all values are odd and strictly increasing from left to right.
For odd levels, we ensure that all values are even and strictly decreasing from left to right.
If any node violates the even-odd property, we immediately return false, indicating that the tree does not meet the criteria.
If all nodes pass the checks at each level, we proceed to the next level and continue the traversal.
If we successfully traverse the entire tree without encountering any violations, we return true, confirming that the tree follows the even-odd property.
📊 Complexity Analysis:
Time Complexity: O(N), where N is the number of nodes in the binary tree. The algorithm performs a level-order traversal, visiting each node once.
Space Complexity: O(W), where W is the maximum width (number of nodes at the widest level) of the binary tree. The space complexity is determined by the queue used for level-order traversal.
Prepare to embark on an enlightening journey through the intricate branches of binary trees as we unravel the mysteries of even-odd tree structures! Explore the depths of node values and discover the elegance of algorithmic analysis in tree traversal. 🔗✨
Tags: #treeexploration #evenoddproperty #binarytrees #codingchallenge #programminglogic #algorithmexplained #levelordertraversal #treestructure