1.Question: Consider a hash table of size m=7. Draw the table that results after inserting the following keys: 19, 26, 13, 48 and 17 for each case: a. collision resolved with chaining, with hash function h(k)=k%7 b. collision resolved by linear probing, with hash function h1(k,i)=[h(k)+i] % 7 (i=0,1,..,m-1) c. collision resolved by quadratic probing, with hash function h1(k,i)=[h(k)+i²] % 7 (i=0,1,..,.m-1) d. collisions resolved by double hashing, with h2(k,i)=[h(k)+i*{5-(k%5)}]%7 (i=0,1,..,m-1)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**Question 1:** Consider a hash table of size m=7. Draw the table that results after inserting the following keys: 19, 26, 13, 48, and 17 for each case:

**a.** Collision resolved with chaining, with hash function h(k)=k%7

**b.** Collision resolved by linear probing, with hash function h₁(k,i)=[h(k)+i] % 7 (i=0,1,...,m-1)

**c.** Collision resolved by quadratic probing, with hash function h₁(k,i)=[h(k)+i²] % 7 (i=0,1,...,m-1)

**d.** Collisions resolved by double hashing, with h₂(k,i)=[h(k)+i*[5-(k%5)]] % 7 (i=0,1,...,m-1)
Transcribed Image Text:**Question 1:** Consider a hash table of size m=7. Draw the table that results after inserting the following keys: 19, 26, 13, 48, and 17 for each case: **a.** Collision resolved with chaining, with hash function h(k)=k%7 **b.** Collision resolved by linear probing, with hash function h₁(k,i)=[h(k)+i] % 7 (i=0,1,...,m-1) **c.** Collision resolved by quadratic probing, with hash function h₁(k,i)=[h(k)+i²] % 7 (i=0,1,...,m-1) **d.** Collisions resolved by double hashing, with h₂(k,i)=[h(k)+i*[5-(k%5)]] % 7 (i=0,1,...,m-1)
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