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What is the time complexity of insert function in a hash table using a binary tree?

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What is the time complexity of insert function in a hash table using a binary tree?

(a) O(1)

(b) O(n)

(c) O(log n)

(d) O(n log n)

My question comes from Hash Tables in division Hash Tables of Data Structures & Algorithms I

I had been asked this question in homework.

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Right answer is (a) O(1)

The explanation is: Time complexity of insert function in a hash table is O(1) on an average. Condition is that the number of collisions should be low.

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