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Question 11542 – Algorithms
November 21, 2023
Hashing
November 21, 2023
Question 11542 – Algorithms
November 21, 2023
Hashing
November 21, 2023

Hashing

Question 10
An algorithm has to store several keys generated by an adversary in a hash table. The adversary is malicious who tries to maximize the number of collisions. Let k be the number of keys, m be the number of slots in the hash table, and k>m. Which one of the following is the best hashing strategy to counteract the adversary?
A
Division method, i.e., use the hash function h(k) = k mod m.
B
Multiplication method, i.e., use the hash function h(k) = ⌊m(kA − ⌊kA⌋)⌋, where A is a carefully chosen constant.
C
Universal hashing method.
D
If k is a prime number, use Division method. Otherwise, use Multiplication method.
Correct Answer: C

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