Hello Everyone!
On Day 4 of Week 13, the concept of Binary Tree BFS Problems was introduced and breadth-first traversal was emphasized. Today’s challenges demanded the tree level by level approach, making views and sums dependent on each other. This is very similar to that gesture that one makes when they zoom out the background while painting a picture behind the tree.
The Coupling of Events
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BT Right Side View (Medium Level)
- What is the algorithm for a binary tree that would return rightmost node of each level as we look at it from the right??
- The Strategy: I used the BFS technique to traverse the tree in a level by level manner. For all the levels, we appended the last node in the queue to the result list.
- The Fun Part: It was like capturing a kind of picture from a certain angle while watching the tree turning into a right-side view.
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Maximum Level Sum of a Binary Tree (1) – Medium
Determine the depth of the binary tree over which the sum of the nodes is the highest.-
The Strategy:
Traveled tree using BFS as the algorithm went level by level, summing up node values of each level.
- Kept track of the level with the max sum as the traversal went from one level to the next.
- The Fun Part: Watching the amounts grow, and finding the maximum increase level was like finding the energy maxima in a tree.
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The Strategy:
Traveled tree using BFS as the algorithm went level by level, summing up node values of each level.
Signs That Made Today Special
Level-by-Level Exploration:
Both problems demonstrated how BFS is effective in capturing the tree in level-wise partitions for analysis.Dynamic Optimizations:
In the Maximum Level Sum of a Binary Tree solution, another technique in calculating was exemplified by dynamic tracking during traversal.Practical Visualization:
Such technicalities as Binary Tree Right Side View brought depth into the problem view by making one consider a tree from different angles.
Key Takeaways
BFS Simplifies Level-Wise Analysis:
Examples include; Binary Tree Right Side View where BFS’s capability of obtaining level-specific information is evident in trees.Dynamic Value Tracking is Crucial:
The problem Maximum Level Sum of a Binary Tree also showed the need for real-time computation during traversal for getting the best solution.Perspective Adds Value:
Both tasks showed that selective attention to certain aspects (right side or level sums), provides different angle of the tree perception.
Reflections
The Binary Tree Right Side View problem proved to be an enjoyable dynamic visualization exercise, though Maximum Level Sum of a Binary Tree introduced the level-wise calculations complication into the mix. Altogether, the mentioned tasks demonstrated the effectiveness of BFS for solving binary tree problems as a multiple-task algorithm.
What’s Next?
On Monday, I’ll wrap up week 13 with Binary Search Tree Problems, covering Search in a Binary Search Tree and Delete Node in a BST. These tasks will provide the opportunity to search and alter BST structures at a fast pace.
I appreciate you for following my journey. So let’s keep on going, keep on solving and keep thinking, keep learning and keep on evolving.
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