A hash function h defined h(key)=key % 7 is used to insert the keys 44, 45,, 79, 55, 91, 19 into a table indexed from 0 to 7 (that is, HT[0], HT [1],HT[2],HT(3],HT[4],HT[5], HT[6], HT[7] ). Show the how these keys, in the order given, are inserted in HT using the above hashing function when collisions are handled by 1) a linear probing, and 2) double hashing using a second hash function g(k)=D5 - (key%5). The double hashing rule is (h(X) +i*g (X)) % HTSize, i=0,1,2,..). Note that some keys (44, 45, 55 ) are already inserted. You need to inser the keys, 79, 91, 19 into the hash table.

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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A hash function h defined h(key)=key % 7 is used to insert the keys 44, 45, 79, 55, 91, 19 into a table indexed from 0 to 7 (that is, HT(0], HT
[1],HT[2],HT[3],HT[4],HT[5], HT[6], HT[7] ). Show the how these keys, in the order given, are inserted in HT using the above hashing
function when collisions are handled by 1) a linear probing, and 2) double hashing using a second hash function g(k)=5 - (key%5). The
double hashing rule is (h(X) + i*g (X)) % HTSize, i=0,1,2,..). Note that some keys (44, 45, 55 ) are already inserted. You need to insert
the keys, 79,91, 19 into the hash table.
Index
Linear Probing to resolve collision
Double Hahing to resolve collision
(a)
(f)
(g)
1
(b)
44
44
3
45
45
4.
(c)
(h)
(i)
(d)
6
55
55
(e)
(i)
Transcribed Image Text:A hash function h defined h(key)=key % 7 is used to insert the keys 44, 45, 79, 55, 91, 19 into a table indexed from 0 to 7 (that is, HT(0], HT [1],HT[2],HT[3],HT[4],HT[5], HT[6], HT[7] ). Show the how these keys, in the order given, are inserted in HT using the above hashing function when collisions are handled by 1) a linear probing, and 2) double hashing using a second hash function g(k)=5 - (key%5). The double hashing rule is (h(X) + i*g (X)) % HTSize, i=0,1,2,..). Note that some keys (44, 45, 55 ) are already inserted. You need to insert the keys, 79,91, 19 into the hash table. Index Linear Probing to resolve collision Double Hahing to resolve collision (a) (f) (g) 1 (b) 44 44 3 45 45 4. (c) (h) (i) (d) 6 55 55 (e) (i)
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