What is the time complexity of searching in a bloom filter?

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What is the time complexity of searching in a bloom filter?

The time complexity of searching in a bloom filter is O(k), where k is the number of hash functions used in the filter.

In a bloom filter, multiple hash functions are applied to the input element to generate multiple hash values. These hash values are used to set corresponding bits in the filter.

During the search operation, the same hash functions are applied to the element being searched. If all the corresponding bits are set, it indicates that the element may be present in the filter. However, if any of the bits are not set, it means that the element is definitely not present in the filter.

Since the search operation only involves applying the hash functions and checking the corresponding bits, the time complexity is directly proportional to the number of hash functions used, which is O(k).