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What is the time complexity for inserting a new item in a ternary heap of n elements?

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What is the time complexity for inserting a new item in a ternary heap of n elements?

(a) O (log n/ log 3)

(b) O (n!)

(c) O (n)

(d) O (1)

The query is from Ternary heap in portion Heap of Data Structures & Algorithms I

I got this question in final exam.

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The correct answer is (a) O (log n/ log 3)

Best explanation: In order to insert a new item in a ternary heap data structure having n elements, the heap has great efficiency for inserting them. So the time complexity for worst case is found to be O (log n/ log 3).

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