What is the average number of probes for a successful search and an unsuccessful search for this hash table? - Hash Function: h(x)=x mod 11 Successful Search: 20: 9 -- 30: 8 -- 2: 2 -- 13: 2, 3 -- 25: 3,4 9. 1 2 24: 2,3,4,5 10: 10 9: 9,10, 0 -- -- 13 Avg. Probe for SS = (1+1+1+2+2+4+1+3)/8=15/8 Unsuccessful Search: We assume that the hash function uniformly distributes the keys. - 0: 0,1 -- 1:1 -- 2: 2,3,4,5,6 -- 3: 3,4,5,6 - 4: 4,5,6 -- - 6: 6 -- 7:7 -- 8: 8,9,10,0,1 - 9: 9,10,0,1 -- 10: 10,0,1 Avg. Probe for US = (2+1+5+4+3+2+1+1+5+4+3)/11=31/11 4 25 24 6. 7 5: 5,6 8 30 9. 20 %3D 10 10 3.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
Linear Probing – Analysis -- Example
What is the average number of probes for a successful
search and an unsuccessful search for this hash table?
- Hash Function: h(x) x mod 11
Successful Search:
- 20: 9 -- 30: 8 -- 2: 2 -- 13: 2, 3 -- 25: 3,4
9.
1
2
24: 2,3,4,5
10: 10
9: 9,10, 0
--
--
3
13
Avg. Probe for SS (1+1+1+2+2+4+1+3)/8=15/8
%3D
4
25
Unsuccessful Search:
- We assume that the hash function uniformly
5
24
distributes the keys.
0: 0,1
4: 4,5,6 - 5: 5,6 - 6: 6 -7:7 -- 8: 8,9,10,0,1
6.
1:1 -- 2: 2,3,4,5,6
3: 3,4,5,6
7
--
--
8
30
9: 9,10,0,1 -- 10: 10,0,1
-
9 20
Avg. Probe for US =
(2+1+5+4+3+2+1+1+5+4+3)/11=31/11
%3D
10
10
2.
Transcribed Image Text:Linear Probing – Analysis -- Example What is the average number of probes for a successful search and an unsuccessful search for this hash table? - Hash Function: h(x) x mod 11 Successful Search: - 20: 9 -- 30: 8 -- 2: 2 -- 13: 2, 3 -- 25: 3,4 9. 1 2 24: 2,3,4,5 10: 10 9: 9,10, 0 -- -- 3 13 Avg. Probe for SS (1+1+1+2+2+4+1+3)/8=15/8 %3D 4 25 Unsuccessful Search: - We assume that the hash function uniformly 5 24 distributes the keys. 0: 0,1 4: 4,5,6 - 5: 5,6 - 6: 6 -7:7 -- 8: 8,9,10,0,1 6. 1:1 -- 2: 2,3,4,5,6 3: 3,4,5,6 7 -- -- 8 30 9: 9,10,0,1 -- 10: 10,0,1 - 9 20 Avg. Probe for US = (2+1+5+4+3+2+1+1+5+4+3)/11=31/11 %3D 10 10 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY