Hello Everyone!
Continuing the discussion from the previous lessons of Week 13, Day 3 presented more topics related to Binary Tree DFS as well as path dynamics and hierarchical organization of trees. Today’s challenges were interesting and motivating because it was necessary to go through the tasks carefully and understand how nodes interact with each other. It really is like drawing connections starting from the branches and twigs of any tree.
How the Day Played Out
-
Longest ZigZag Path in a Binary Tree – Medium Level (II)
Determine the longest ZigZag path in a binary tree and list down their length. A ZigZag path consists of left and right child nodes in an up and down order on each level.-
The Strategy:
- Used DFS to traverse the tree while maintaining two states: Distance of the path while the previous step was taken. Length of the path when the previous step was right. Further extended it globally and made the modification to the global maximum length dynamic at each node.
- The Fun Part: The zigzag path developing when the traversal changed direction was a fun echo of dynamic trail construction.
-
The Strategy:
-
LCA of Binary Tree (Medium Level)
Determine the parent of a two nodes present in a two node binary search tree.-
The Strategy:
- Used recursive DFS to explore each subtree: –In case the current node was either of the two nodes being searched for the algorithm was to return the current node. – Reconstruct results from the two subtrees on both sides to discover the LCA.
- The Fun Part: It was extraordinarily gratifying to watch over the emergence of the tree structure and determining the specific moment at which the tree became indistinguishable – it was like finding a hidden gene; the gene of the commonality.
-
The Strategy:
Special Events Today
Dynamic Path Management:
Longest ZigZag Path in a Binary Tree demonstrated how hard state traversal can maintain and control intricate paths within the algorithm.Hierarchical Understanding:
Problems such as Lowest Common Ancestor of a Binary Tree made us focus on parent-child relation and node interaction.Recursive Clarity:
Both problems showed how useful recursion is when it comes to handling hierarchal problems in a very fast way.
Key Takeaways
DFS Tracks Complex Paths:
DFS-based issues such as the Longest ZigZag Path in a Binary Tree show that the approach is capable of handling and controlling dynamic path-related challenges efficiently.Understanding Node Relationships:
In Lowest Common Ancestor of a Binary Tree this way of thinking that is how outright subtrees make the solutions makes hierarchical concepts easier.Recursion Simplifies Depth Problems:
Recursive traversal is important so that when dealing with interconnected structures, the notation won’t be ambiguous.
Reflections
The Longest ZigZag Path in a Binary Tree was an interesting problem which required me to handle the directional vector constraint, while Lowest Common Ancestor of a Binary Tree involved a level-specific relationship constraint. Combined with these tasks, it demonstrated that DFS is capable of solving dynamic and structural binary tree problems.
What’s Next?
The next day I will be covering Binary Tree BFS Problems, I will address Binary Tree Right Side View and Maximum Level Sum of a Binary Tree. These tasks will prove my fitness for analyzing breadth-first traversal and when dealing with some operations at different levels.
Thank you for sticking with my blog throughout this series. The time has come to sum it up and say: let’s continue solving, learning, and developing as a team.
Top comments (0)