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What is the time complexity of insert function in a hash table using a doubly linked list?

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What is the time complexity of insert function in a hash table using a doubly linked list?

(a) O(1)

(b) O(n)

(c) O(log n)

(d) O(n log n)

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

This question was addressed to me in quiz.

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The correct option is (a) O(1)

Easy explanation - Time complexity of insert function in a hash table is O(1). Condition is that the number of collisions should be low.

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