The correct sequence of constructing Huffman tree is A. Repeat until root…
2025
The correct sequence of constructing Huffman tree is
A. Repeat until root formed
B. Create leaf nodes
C. Build priority queue
D. Combine lowest frequency nodes
Choose the correct answer from the options given below:
- A.
B, C, A, D
- B.
D, B, A, C
- C.
B, C, D, A
- D.
C, A, B, D
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Show answer & explanation
Correct answer: C
Correct sequence: Create leaf nodes, Build priority queue, Combine lowest-frequency nodes, Repeat until root formed.
Create leaf nodes: Make a leaf node for each symbol with its frequency.
Build the priority queue: Insert all leaf nodes into a min-priority queue (min-heap) keyed by frequency.
Combine the two lowest-frequency nodes: Remove the two nodes with smallest frequencies, create a new internal node whose frequency is their sum, and insert the new node back into the priority queue.
Repeat until a single root remains: Continue removing and combining the two smallest nodes until only one node (the root of the Huffman tree) remains.
Why this order matters: You must first have leaf nodes to populate the priority queue. The queue provides the two lowest-frequency nodes at each step; combining them creates larger nodes that are reinserted, and repeating this process produces the final Huffman tree.
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