Summary of "L8. Level Order Traversal of Binary Tree | BFS | C++ | Java"
Summary of “L8. Level Order Traversal of Binary Tree | BFS | C++ | Java”
This video explains Level Order Traversal of a binary tree using a Breadth-First Search (BFS) approach, demonstrating implementations in both C++ and Java. It is part of a series on trees and is sponsored by a hiring platform called Relevant by an Academy.
Main Ideas and Concepts
- Level Order Traversal visits nodes level by level, from left to right within each level.
- The traversal starts at the root (level 1), then visits all nodes at level 2 from left to right, then level 3, and so forth.
- This traversal is effectively a BFS on a binary tree.
- A queue data structure is essential to implement this traversal.
- A vector of vectors (C++) or list of lists (Java) is used to store nodes level-wise.
Methodology / Step-by-Step Instructions for Level Order Traversal
-
Initialize Data Structures:
- Create a queue and push the root node into it.
- Create a vector of vectors (or list of lists) to store the traversal results level-wise.
-
Iterate Until Queue is Empty:
- Determine the current size of the queue (this represents the number of nodes at the current level).
- Create a temporary vector/list to store nodes of the current level.
-
Process Each Node at the Current Level:
- For each node in the queue (based on the current size):
- Pop the node from the queue.
- Add the node’s value to the temporary vector/list.
- If the node has a left child, push it into the queue.
- If the node has a right child, push it into the queue.
- For each node in the queue (based on the current size):
-
Store the Current Level:
- After processing all nodes of the current level, add the temporary vector/list to the main result data structure.
-
Repeat:
- Continue the process until the queue is empty.
-
Return the Result:
- The vector/list of vectors/lists now contains the level order traversal of the binary tree.
Code Explanation Highlights (C++ and Java)
- Check if the root is
null; if yes, return an empty data structure. - Use a queue to keep track of nodes to be processed.
- Use a loop to process nodes level by level.
- Use a for loop inside the while loop to process all nodes at the current level.
- Push children nodes into the queue.
- Store the current level’s nodes in a temporary vector/list and then add it to the answer.
- Return the final answer after the queue is empty.
Complexity Analysis
- Time Complexity: O(N), where N is the number of nodes in the tree, because each node is visited exactly once.
- Space Complexity: O(N), because in the worst case, the queue can hold all nodes at the last level, and the output data structure also stores all nodes.
Additional Notes
- The instructor encourages viewers to like, comment, and subscribe.
- The video is sponsored by Relevant by an Academy, a free hiring platform for freshers and experienced candidates.
- The instructor emphasizes the importance of understanding the queue usage and level-wise grouping.
Speakers / Sources Featured
- Primary Speaker: The video instructor (name not provided) who explains the concept and code.
- Sponsor Mention: Relevant by an Academy (hiring platform).
This summary covers the key teaching points, methodology, code structure, and complexity analysis for level order traversal of a binary tree using BFS in C++ and Java.
Category
Educational
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