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

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

(a) O(1)

(b) O(n)

(c) O(log n)

(d) O(n log n)

This key question is from Hash Tables in portion Hash Tables of Data Structures & Algorithms I

This question was addressed to me during an online exam.

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Right option is (a) O(1)

The best explanation: Time complexity of delete function in a hash table is O(1). Condition is that the hash function should be such that the number of collisions should be low.

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