Suppose that we use double hashing to resolve collisionsthat is, we use the hash function h(k, i)
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Suppose that we use double hashing to resolve collisions—that is, we use the hash function h(k, i) = (h1(k) + ih2(k)) mod m. Show that if m and h2(k) have greatest common divisor d ≥ 1 for some key k, then an unsuccessful search for key k examines (1/d)th of the hash table before returning to slot h1(k). Thus, when d = 1, so that m and h2(k) are relatively prime, the search may examine the entire hash table.
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Let d 1 and m 5 the most common divisor of the hash function Suppose that slot h1k contains the requ...View the full answer
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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