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Algorithms | Greedy Algorithms | Question 3

What is the time complexity of Huffman Coding?

(A)

O(N)

(B)

O(NlogN)

(C)

O(N(logN)^2)

(D)

O(N^2)

Answer: (B)
Explanation:

O(nlogn) where n is the number of unique characters. If there are n nodes, extractMin() is called 2*(n – 1) times. extractMin() takes O(logn) time as it calls minHeapify(). So, overall complexity is O(nlogn). 

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