Suppose you have the following letter's integer value table: A 1 N 14 ii) B 2 0 15 iii) C 3 P D 4 Q 16 17 E 5 R 18 F 6 S 19 G 7 T 20 H 8 U 21 22 23 24 I 9 V J K 10 11 W X L Use separate chaining of 5 slots, using the hash function h(x) = i % 5 MINE М 13 Draw the hash table for each of the following, by using the first 10 distinct letters in your name (you may use your triple name), i.e. if you have similar letters then choose the next one until you have 10 different letters. i) 12 Y Z 25 26 where x represents the letter and i represents the corresponding integer value of that letter from the table above. For example, if you have the letter T in your name, then h(T) = 20% 5 = 0 Use linear probing for a table of 16 slots and hash function, h(x)= i% 16 Use quadratic probing for a table of 16 slots and hash function, h(x)= i % 16. For this step use 6 distinct letters from your name chosen in the same way instead of 10. Aside: Quadratic Probing Quadratic probe sequences cause probes to move away from clusters, by making increasing larger jumps. The ith probe is h(k,i)=(h(k)+1²) mod m. Quadratic Probing is similar to Linear probing. The difference is that if you were to try to insert into a space that is filled you would first check 12 = 1 element away then 2²=4 elements away, then 3²-9 elements away then 4²=16 elements away and so on. For example consider what would happen in the following situation:
Suppose you have the following letter's integer value table: A 1 N 14 ii) B 2 0 15 iii) C 3 P D 4 Q 16 17 E 5 R 18 F 6 S 19 G 7 T 20 H 8 U 21 22 23 24 I 9 V J K 10 11 W X L Use separate chaining of 5 slots, using the hash function h(x) = i % 5 MINE М 13 Draw the hash table for each of the following, by using the first 10 distinct letters in your name (you may use your triple name), i.e. if you have similar letters then choose the next one until you have 10 different letters. i) 12 Y Z 25 26 where x represents the letter and i represents the corresponding integer value of that letter from the table above. For example, if you have the letter T in your name, then h(T) = 20% 5 = 0 Use linear probing for a table of 16 slots and hash function, h(x)= i% 16 Use quadratic probing for a table of 16 slots and hash function, h(x)= i % 16. For this step use 6 distinct letters from your name chosen in the same way instead of 10. Aside: Quadratic Probing Quadratic probe sequences cause probes to move away from clusters, by making increasing larger jumps. The ith probe is h(k,i)=(h(k)+1²) mod m. Quadratic Probing is similar to Linear probing. The difference is that if you were to try to insert into a space that is filled you would first check 12 = 1 element away then 2²=4 elements away, then 3²-9 elements away then 4²=16 elements away and so on. For example consider what would happen in the following situation:
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Transcribed Image Text:Suppose you have the following letter's integer value table:
A
B
C
D
F
G
H
I
J
K
M
1
2
3
4
5
6
7
8
9
10
11
12
13
N
O
P
Q
R
S
T
U
V
W X
Y
Z
14
15
16
17 18
19
20
21 22 23 24
25
26
Draw the hash table for each of the following, by using the first 10 distinct letters in your
name (you may use your triple name), i.e. if you have similar letters then choose the next
one until you have 10 different letters.
i)
Use separate chaining of 5 slots, using the hash function
h(x) = i % 5
where x represents the letter and i represents the corresponding integer value of
that letter from the table above.
For example, if you have the letter T in your name, then
h(T) = 20 % 5 = 0
ii)
Use linear probing for a table of 16 slots and hash function, h(x)= i% 16
iii)
Use quadratic probing for a table of 16 slots and hash function, h(x)= i % 16.
For this step use 6 distinct letters from your name chosen in the same way
instead of 10.
Aside: Quadratic Probing
Quadratic probe sequences cause probes to move away from clusters, by making
increasing larger jumps. The ith probe is
h(k,i)=(h(k)+1²) mod m.
Quadratic Probing is similar to Linear probing. The difference is that if you were to try to
insert into a space that is filled you would first check 12 = 1 element away then 2² = 4
elements away, then 3²-9 elements away then 4²=16 elements away and so on. For example
consider what would happen in the following situation:
L
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