Given a hashing function hash(x) = ((x * x) + x) % 11, Insert the value 17 into each hash table using the rules specified below. Note that some of the boxes in each hash table are already full. If there’s a collision, start the probing at i = 0 and increment from there if you collide. b) After we insert our new data (that 17) into these hash tables, should we resize and rehash the values? Why or Why not? c) If this was a hash table using separate chaining instead of linear probing, would it be time to rehash after we insert 17?

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
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20 a) Given a hashing function hash(x) = ((x * x) + x) % 11, Insert the value 17 into each hash table using the rules specified below. Note that some of the boxes in each hash table are already full. If there’s a collision, start the probing at i = 0 and increment from there if you collide.

b) After we insert our new data (that 17) into these hash tables, should we resize and rehash the values? Why or Why not?

c) If this was a hash table using separate chaining instead of linear probing, would it be time to rehash after we insert 17?

Linear Probing having probe(i) = ( hash(x) + (i + 1) ) % 11
10
11
6
15
1
2
4
5
6
7
10
Quadratic Probing having probe(i) = ( hash(x) + (i^2) ) % 11
( hash(x) + (i^2) ) % 11
%3D
10
11
15
1
3
4
5
6
7
8
9
10
9,
3.
2.
Transcribed Image Text:Linear Probing having probe(i) = ( hash(x) + (i + 1) ) % 11 10 11 6 15 1 2 4 5 6 7 10 Quadratic Probing having probe(i) = ( hash(x) + (i^2) ) % 11 ( hash(x) + (i^2) ) % 11 %3D 10 11 15 1 3 4 5 6 7 8 9 10 9, 3. 2.
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